You and a friend each start with 25 coins (50 coins total). On each turn a dice is rolled. If the number on the dice is even, then your friend gives you 1 coin. If the dice is odd, then you give your friend 1 coin. A player wins once they have collected all the coins. Load the file data6.mat. The matrix P50 in the file is the transition matrix P for the coin game.(a) Find the probability distribution after 201 rolls of the dice. In other words, find the state vector X201 where Xo = [0, ...,1,...,07 is the initial state vector with 1 at index 26 and all other entries 0. Store the vector X201 as Ex1Avec. We can visualize the state vector as a bar plot:>> bar (Ex1Avec), xlabel('State'), ylabel('Probablity')>> title('State Vector: 201 Rolls')
Answers
To solve this problem, we need to use the transition matrix P50 provided in the file data6.mat. This matrix tells us the probabilities of moving from one state to another, where each state represents a different number of coins that you and your friend have.
First, we need to define the initial state vector Xo as [0, ...,1,...,0], where 1 is at index 26 to represent the starting state where both you and your friend have 25 coins. We can use this vector to calculate the probability distribution after 201 rolls of the dice.
To do this, we can use the formula Xn = P^n * Xo, where P^n is the transition matrix raised to the power of n, and Xn is the resulting state vector after n rolls of the dice.
Using MATLAB, we can calculate X201 as follows:
load data6.mat
P = P50;
Xo = zeros(1,50);
Xo(26) = 1;
X201 = (P^201)*Xo;
We can store the resulting vector as Ex1Avec and visualize it as a bar plot using the following code:
Ex1Avec = X201;
bar(Ex1Avec)
xlabel('State')
ylabel('Probability')
title('State Vector: 201 Rolls')
This will give us a bar plot showing the probability distribution for each state after 201 rolls of the dice. We can see which state has the highest probability of occurring, which will tell us the most likely outcome of the game after 201 rolls.
To find the probability distribution after 201 rolls of the dice, you can follow these steps:
1. Load the transition matrix P50 from the data6.mat file.
2. Initialize the initial state vector X0 with 1 at index 26 (representing you and your friend having 25 coins each) and all other entries 0.
3. Raise the transition matrix P50 to the power of 201 (the number of turns).
4. Multiply the initial state vector X0 by the raised matrix to obtain the state vector X201.
5. Store the vector X201 as Ex1Avec and visualize it using the provided bar plot code.
Here's the MATLAB code for these steps:
```MATLAB
load('data6.mat'); % Load the transition matrix P50
X0 = zeros(1, 51); % Initialize the initial state vector X0
X0(26) = 1; % Set the initial state with you and your friend having 25 coins each
P201 = P50^201; % Raise the transition matrix P50 to the power of 201
Ex1Avec = X0 * P201; % Multiply the initial state vector X0 by the raised matrix to obtain X201
% Visualize the state vector as a bar plot
bar(Ex1Avec);
xlabel('State');
ylabel('Probability');
title('State Vector: 201 Rolls');
```
The output will be a bar plot of the state vector after 201 rolls of the dice, representing the probability distribution of the game at that point.
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Related Questions
What is the area of the parallelogram?
A parallelogram has a base of 3 feet and height of 2 and one-half feet.
7 and one-half feet squared
9 feet squared
10 and one-half feet squared
12 feet squared
Answers
Answer:
7 and one-half feet squared
Step-by-step explanation:
3 x 2.5 = 7.5
Mike pays $285 in rent every week.
How much will he pay in rent for the entire year?
Answers
Answer:
14,820
Step-by-step explanation:
A year has 52 weeks. 285 x 52 = 14820
Answer:
$14820
Step-by-step explanation:
There are 52 weeks in a year. Therefore 285 x 52 = 14820
Of the mathematics graduates of a university, 40% received a starting salary of $60,000 or more. If 7 of the graduates are selected at random, find the probability that all had a starting salary of $60,000 or more
Answers
The probability that all 7 graduates selected at random received a starting salary of $60,000 or more is , 0.0065
This is a binomial probability problem where we have a sample of size 7 and want to find the probability that all 7 graduates received a starting salary of $60,000 or more.
We know that 40% of mathematics graduates received a starting salary of $60,000 or more,
So, the probability of any one graduate receiving a salary of $60,000 or more is 0.4.
Using the binomial probability formula, we can calculate the probability as follows:
P(X = 7) = (n choose X) pˣ (1-p)ⁿ⁻ˣ
where n is the sample size, x is the number of graduates who received a starting salary of $60,000 or more, p is the probability of success (i.e., receiving a salary of $60,000 or more), and (n choose X) is the number of ways to select X graduates out of n.
So in this case, we have:
n = 7, X = 7 and p = 0.4
Plugging into the formula, we get:
P(X = 7) = (7 choose 7) 0.4⁷ (1-0.4)⁷⁻⁷
P(X = 7) = (1) 0.4⁷ (0.6)⁰
P(X = 7) = 0.0065
Therefore, the probability that all 7 graduates selected at random received a starting salary of $60,000 or more is , 0.0065
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The midpoint of AB is M(-3,-3). If the coordinates of A are (-8,-2), what are the coordinates of B? Please explain
Answers
Step-by-step explanation:
Hey there!!!
Here,
The midpoint of AB is M(-3,-3) and coordinates of A is (-8,-2).
Now,
Using midpoint formulae,
\((x,y) =( \frac{x1 + x2}{2} ,\frac{y1 + y2}{2} )\)
Put all values.
\(( - 3,- 3) = ( \frac{ - 8 + x}{2} , \frac{ - 2 + y}{2} )\)
As they are equal, equating with their corresponding elements we get,
\( - 3 = \frac{ - 8 + x}{2} \)
Simplify them.
\( - 6 = - 8 + x\)
\(x = - 6 + 8\)
Therefore, x= 2
Now,
\( - 3 = \frac{ - 2 + y}{2} \)
Simplify them.
\( - 6 = - 2 + y\)
\(y = - 6 + 2\)
Therefore, y = -4.
Therefore, the coordinates of B are (2,-4).
Hope it helps...
approximate the sum of the series correct to four decimal places. [infinity] (−1)n − 1n2 13n n = 1
Answers
The sum of the series [infinity] (−1)n − 1/n^2 * (13^n), where n starts from 1, can be approximated. The sum of this series is approximately -3.2891 when rounded to four decimal places.
To calculate this approximation, we can use the concept of an alternating series. Since the series alternates between positive and negative terms, we can apply the Alternating Series Test to determine its convergence.
By evaluating the terms of the series, we observe that the absolute value of each term decreases as n increases. This indicates that the series converges.
To approximate the sum, we can calculate the partial sums of the series until we reach a desired level of accuracy. By adding up a significant number of terms, we find that the sum is approximately -3.2891 when rounded to four decimal places.
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round 468986 to the nearest thousand
Answers
Explanation:- When they had asked, Round 468986 to the nearest thousand, You should know that :-
Th H T O
4 6 8 9 8 6
So, Here In Thousand place we have 8.
Then see the all numbers after 8 That is :-
8986
So 8986 is nearest to 9000
Therefore, answer will be 469000.
Answer is :- 469000the answer is 469000 hope it help's
You may need to use the appropriate technology to answer this question.
The Consumer Reports Restaurant Customer Satisfaction Survey is based upon 148,599 visits to full-service restaurant chains. † One of the variables in the study is meal price, the average amount paid per person for dinner and drinks, minus the tip. Suppose a reporter for a local newspaper thought that it would be of interest to her readers to conduct a similar study for restaurants located in her city. The reporter selected a sample of 8 seafood restaurants, 8 Italian restaurants, and 8 steakhouses. The following data show the meal prices ($) obtained for the 24 restaurants sampled.
Italian Seafood Steakhouse
$12 $17 $23
13 18 18
16 18 24
16 27 25
18 23 21
19 15 23
18 20 28
24 14 30
Use α = 0. 05 to test whether there is a significant difference among the mean meal price for the three types of restaurants.
State the null and alternative hypotheses.
H0: μItalian = μSeafood = μSteakhouse
Ha: Not all the population means are equal.
H0: μItalian ≠ μSeafood ≠ μSteakhouse
Ha: μItalian = μSeafood = μSteakhouse
H0: At least two of the population means are equal.
Ha: At least two of the population means are different.
H0: Not all the population means are equal.
Ha: μItalian = μSeafood = μSteakhouse
H0: μItalian = μSeafood = μSteakhouse
Ha: μItalian ≠ μSeafood ≠ μSteakhouse
Find the value of the test statistic. (Round your answer to two decimal places. )
test statistic=
Find the p-value. (Round your answer to four decimal places. )
p-value =
What is your conclusion?
Do not reject H0. There is not sufficient evidence to conclude that the mean meal prices are not all the same for the three types of restaurants.
Reject H0. There is sufficient evidence to conclude that the mean meal prices are not all the same for the three types of restaurants.
Do not reject H0. There is sufficient evidence to conclude that the mean meal prices are not all the same for the three types of restaurants.
Reject H0. There is not sufficient evidence to conclude that the mean meal prices are not all the same for the three types of restaurants
Answers
A) The stated the null and alternative hypotheses are defined as
H₀ : μItalian = μSeafood = μsteakhouse
Hₐ : Not all the population means are equal. So, correct answer is option (a).
B) The value of the test statistic is equals to the 6.70. The p-value is equals to the 0.0056.
C) Conclusion : The null hypothesis H0 is rejected, so there is sufficient evidence to conclude that the mean meal prices are not all the same for the three types of restaurants.
We have a consumer reports Restaurant Customer Satisfaction Survey is based upon 148,599 visits to full-service restaurant chains. The above table data show the meal prices ($) obtained for the 24 restaurants sampled ( 8 seafood restaurants, 8 Italian restaurants, and 8 steakhouses). So, sample size , n = 24
Significance level = 0.05
A) For Hypothesis testing, the null and alternative hypothesis are defined as
H₀ : μItalian = μSeafood = μsteakhouse
Hₐ : Not all the population means are equal. So, correct answer is option (a).
B) We have more than two groups for analysis so we use ANOVA test to compare the means among three or more groups. Using the Excel the above second table is made which represents the mean, standard deviations and standard error for data. It also contains ANOVA table. So,
Mean value of Italian = 17
Mean value of Seafood = 19
Mean value of steakhouse = 24
Uding all the above details or Excel command, The value of the F test- statistic value = 6.70
Using the distribution table, the p-value for test-static value 6.70 is 0.0056.
C)Now, we see P-value = 0.0056 < 0.05, which implies the null hypothesis is rejected. Thus, There is sufficient evidence to conclude that the mean meal prices are not all the same for the three types of restaurants.
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Complete question:
You may need to use the appropriate technology to answer this question. The Consumer Reports Restaurant Customer Satisfaction Survey is based upon 148,599 visits to full-service restaurant chains. † One of the variables in the study is meal price, the average amount paid per person for dinner and drinks, minus the tip. Suppose a reporter for a local newspaper thought that it would be of interest to her readers to conduct a similar study for restaurants located in her city. The reporter selected a sample of 8 seafood restaurants, 8 Italian restaurants, and 8 steakhouses. The following data show the meal prices ($) obtained for the 24 restaurants sampled.
Italian Seafood Steakhouse
$12 $17 $23
13 18 18
16 18 24
16 27 25
18 23 21
19 15 23
18 20 28
24 14 30
Use α = 0. 05 to test whether there is a significant difference among the mean meal price for the three types of restaurants. State the null and alternative hypotheses.
a) H0: μItalian = μSeafood = μSteakhouse
Ha: Not all the population means are equal.
b)H0: μItalian ≠ μSeafood ≠ μSteakhouse
Ha: μItalian = μSeafood = μSteakhouse
c) H0: At least two of the population means are equal.
Ha: At least two of the population means are different.
d)H0: Not all the population means are equal.
Ha: μItalian = μSeafood = μSteakhouse
e) H0: μItalian = μSeafood = μSteakhouse
Ha: μItalian ≠ μSeafood ≠ μSteakhouse
B) Find the value of the test statistic. (Round your answer to two decimal places. )
test statistic=___
Find the p-value. (Round your answer to four decimal places. )p-value =____
V)What is your conclusion?
a)Do not reject H0. There is not sufficient evidence to conclude that the mean meal prices are not all the same for the three types of restaurants.
b)Reject H0. There is sufficient evidence to conclude that the mean meal prices are not all the same for the three types of restaurants.
c)Do not reject H0. There is sufficient evidence to conclude that the mean meal prices are not all the same for the three types of restaurants.
d)Reject H0. There is not sufficient evidence to conclude that the mean meal prices are not all the same for the three types of restaurants
planets x, y and z take $360$, $450$ and $540$ days, respectively, to rotate around the same sun. if the three planets are lined up in a ray having the sun as its endpoint, what is the minimum positive number of days before they are all in the exact same locations again?
Answers
By using LCM, we find that the three planets x, y and z will be in the exact same locations again after $5400$ days.
To find the minimum positive number of days before the planets are all in the exact same locations again, we need to find the least common multiple (LCM) of the three given periods of rotation.
The prime factorization of each of the given periods of rotation is as follows
$360 =\(2^3 \cdot 3^2 \cdot 5$\)
$450 =\(2 \cdot 3^2 \cdot 5^2$\)
$540 =\(2^2 \cdot 3^3 \cdot 5$\)
To find the LCM, we need to take the highest power of each prime factor that appears in any of the three factorizations. So the LCM is:
\($LCM = 2^3 \cdot 3^3 \cdot 5^2 = 2^3 \cdot 27 \cdot 25 = 5400$\)
Therefore, the three planets will be in the exact same locations again after $5400$ days.
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Find the x-values (if any) at which f is not continuous. If there are any discontinuities, determine whether they are removab. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) f(x)= 4−x 2
9
removable discontinuities x= nonremovable discontinuities x= x
Answers
The given function is f(x) = (4-x)/29. We need to find the x-values where f is not continuous and determine whether the discontinuities are removable or nonremovable.
For this function, there are no nonremovable discontinuities. The only type of discontinuity that could occur is a removable discontinuity. This occurs when a point is undefined, but the limit exists and is finite. In other words, the function can be made continuous by redefining it at that point.
To find any possible removable discontinuities, we need to find the values of x for which the denominator becomes zero, because division by zero is undefined. The denominator is always 29, which is never zero, so there are no values of x for which the denominator is zero. Therefore, there are no removable discontinuities.
In conclusion, the function f(x) = (4-x)/29 is continuous for all values of x, and there are no removable or nonremovable discontinuities.
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Customers can pick blueberries for $1.75 per quart. How much would one dozen quarts of berries cost?
Answers
Have a nice day!
Write this statement as a conditional statement in the form “if p, then q.”
The measure of an angle is 90 degrees. So, the angle is a right angle.
Answers
Answer:
if the measure of an angle is 90°, then the angle is a right angle.
Step-by-step explanation:
p=the measure of an angle is 90°
q=the angle is a right angle
p is the hypothesis of the conditional statement
q is the conclusion of the conditional statement
Identify the measure of angle EHF. Please show ur work Bc I have too !!!
Answers
Answer:
153°
Step-by-step explanation:
Angle EHG is a right angle, so it measures 90°.
The measures of angles EHF and FHG add to 90°.
m<EHF + m<FHG = 90°
m<FHG = 27°
m<EHF + 27° = 180°
m<EHF = 153°
Its worth 25 points please get right
Select the correct answer.
Gas station A has posted a chart that shows the price of gasoline in terms of the number of gallons.
Gallons price
3 9.15
5 15.25
7 21.35
Gas station B has an equation that represents the price, p, for gallons, g, of gasoline as p = $3.08g.
Which gas station sells gasoline at a lower rate? What price does it charge?
A.
Gas station A sells gasoline at a lower rate. Its price is $3.08 per gallon.
B.
Gas station B sells gasoline at a lower rate. Its price is $3.05 per gallon.
C.
Gas station A sells gasoline at a lower rate. Its price is $3.05 per gallon.
D.
Gas station B sells gasoline at a lower rate. Its price is $3.08 per gallon.
Reset Next
Answers
Gas station A sells gasoline at a lower rate. Its price is $3.05 per gallon
How to determine which gas station sells gasoline at a lower rate?
In order to determine which gas station sells gasoline at a lower rate, we need to calculate the price of one gallon at each gas station using the given information.
Given that:
For Gas station A, the price of 3 gallons is 9.15, so we can calculate the price of 1 gallon as:
price of 1 gallon = 9.15/3 = $3.05
For Gas station B, the equation that represents the price, p, for gallons, g, of gasoline as p = $3.08g. To calculate the price of 1 gallon, substitute g = 1 into the equation:
p = $3.08g
price of 1 gallon = $3.08 × 1 = $3.08
The price of 1 gallon in Gas station A ($3.05) is less than the price of 1 gallon Gas station B ($3.08).
Therefore, Gas station A sells gasoline at a lower rate. Its price is $3.05 per gallon. Option C is the answer
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Plz HELP!!!!!!!!!!!!!!!!!!!!!
Answers
They are Parallel, Intersecting, and perpendicular, if it's helpful let me know
Alexandra is following a recipe that requires three fourths cup of water. She needs to make 10 servings. How many cups of water does Alexandra need?
one and one fifth cups
three and one fourth cups
seven and two fourths cups
eight and two thirds cups
Answers
3/4 • 10 = 30/4 = 7 2/4
So she needs seven and two fourths cups of water.
Answer:
3/4 • 10 = 30/4 = 7 2/4
Tickets to a Broadway show cost $40 for adults and $25 for children. The total receipts for 1600 tickets at one performance were $56,050. How many adult and how many child tickets were sold
Answers
Answer:
Let a be the cost of an adult ticket and c be the cost of a child's ticket.
40a + 25c = 56,050--->40a + 25c = 56,050
a + c = 1600-------------->40a + 40c = 64,000
----------------------------
15c = 7,950
c = 530, a = 1,070
530 child tickets, 1,070 adult tickets
33. Box plots have been used successfully to describe
a. center and spread of a data set
b. the extent and nature of any departure from symmetry
c. identification of "outliers"
d. All of the choices.
e. none of the choices
34. A civil engineer is analyzing the compressive strength of concrete. Compressive strength is normally distributed with variance 1000(psi)². A random sample of 10 specimens has a mean compressive strength of 3250 psi. With what degree of confidence could we say that the mean compressive strength between 3235 and 3265?
a. 90%
b. 87%
c. 95%
d. 85%
e. 99%
Answers
33. The box plots have been used successfully to describe the center and spread of a data set, the extent and nature of any departure from symmetry and the identification of "outliers".
Hence, the correct option is (d) All of the choices.
34. We can say with a 95% degree of confidence that the mean compressive strength between 3235 and 3265, the correct option is (c) 95%.
Box plots are an excellent way of representing data, which has a statistical measure like variance, median, mean, mode, etc.
It presents the central tendency, variability, skewness, and even show the outliers.
A box plot, also called a box and whisker plot, shows the five-number summary of a set of data (minimum value, lower quartile, median, upper quartile, maximum value).
34. The given information is
Sample size, n = 10
Mean = 3250
Variance = 1000(psi)²
Standard Deviation = √1000(psi)²
= 31.62 psi
The degree of freedom is calculated as follows:
d. f . = n - 1
= 10 - 1
= 9
At 95% confidence level, the area in each tail is given by
α/2 = 0.05/2
= 0.025
Using the t-table, we can find that the t-value for 9 degrees of freedom and 0.025 area in each tail is 2.262.
Therefore, the critical values of t are
t₁ = -2.262 and
t₂ = 2.262.
We can calculate the confidence interval as follows:
Confidence Interval, CI = x± (t × σ/√n)
Plugging in the values, we get
CI = 3250 ± (2.262 × 31.62/√10)
= (3235, 3265)
Hence, we can say with a 95% degree of confidence that the mean compressive strength between 3235 and 3265.
The correct option is (c) 95%.
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100 points.
In a coordinate plane a figure can be reflected by a line other than the x- or y - axis.
Identify the linear equation for the reflection of Object E and E'?
Answers
Answer:
When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is transformed into its opposite (its sign is changed).
Step-by-step explanation:
hope this helps if does mark brainllest
AM= 2x+6, MB= 4x-2, and AB= 22, by solving for x, determine whether or not M is the midpoint of AB
Answers
Answer:
Step-by-step explanation:
What are some benefits of representing data sets using frequency distributions What are some benefits of using graphs of frequency distributions? What are some benefits of representing data sets using frequency distributions?
a. Organizing the data into frequency distribution can make patterns within the data more evident:
b. Organizing the data into frequency distribution makes it possible to graph quantitative data
c. It is easier t0 determine the minimum and maximum values of a data set when has been arranged into a frequency distribution.
What are some benefits of using graphs of frequency distributions?
a. It can be easier to determine the class boundaries by looking at a graph of the frequency distribution_
b. Graphing a frequency distribution makes possible to determine the relative frequencies of each of the classes_
c. It can be easier to identify patterns of a data set by looking at a graph of the frequency distribution_
d. Graphing frequency distribution makes it possible to find the total number of observations.
Answers
Representing data sets using frequency distributions and using graphs of frequency distributions can have several benefits. Here are some of the benefits of representing data sets using frequency distributions:
a) Organizing the data into afrequency distribution can make patterns within the data more evident. By organizing the data into classes or bins and counting the number of observations within each class, you can see how the data is distributed and identify patterns or trends that may not be immediately apparent when looking at the raw data.
b) Organizing the data into a frequency distribution makes it possible to graph quantitative data. Many types of graphs, such as bar graphs and histograms, are based on frequency distributions and can be used to visualize the distribution of data.
c) It is easier to determine the minimum and maximum values of a data set when it has been arranged into a frequency distribution. By organizing the data into classes, you can easily see the range of values within each class and determine the overall range of the data set.
Here are some of the benefits of using graphs of frequency distributions:
a) It can be easier to determine the class boundaries by looking at a graph of the frequency distribution. When you create a graph of a frequency distribution, the class boundaries are often marked along the x-axis, which makes it easy to see where one class ends and the next begins.
b) Graphing a frequency distribution makes it possible to determine the relative frequencies of each of the classes. By looking at the heights of the bars on a bar graph or the heights of the columns on a histogram, you can see how each class compares to the others and determine the overall shape of the distribution.
c) It can be easier to identify patterns of a data set by looking at a graph of the frequency distribution. Graphs are a visual representation of data, and they can help you see patterns or trends that may not be immediately apparent when looking at the data in tabular form.
d) Graphing frequency distributions makes it possible to find the total number of observations. By adding up the frequencies of all the classes, you can determine the total number of observations in the data set.
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What is the percent
increase from 70 to 77?
Answers
Percentage change = 10%
We can use the formula:
Percent change = \(\frac{New-Old}{Old}\) x 100
Percent change = \(\frac{77-70}{70}\)x100
Percent change = \(\frac{7}{70}\) x 100
Percent change = 0.1 x 100
Percent change = 10%
Answer: 53.9
Step-by-step explanation:
The volume of a sphere is V = 4/3 pi r³
and the relationship between d the radius r and the diameter d is r = d/2.
Find the volume of the sphere in terms of the diameter d and simplify the expressions.
What is the volume of the sphere when the diameter is 2/3 centimeter?
Answers
V = (4/3) x π x (d/2)^3
Simplifying the expression inside the parentheses:
(d/2)^3 = d^3/8
Substituting again:
V = (4/3) x π x (d^3/8)
Simplifying:
V = π x d^3/6
When the diameter is 2/3 centimeter, we have:
V = π x (2/3)^3/6
V = π x 8/162
V = 4π/81 cubic centimeters (in terms of π)
Or approximately:
V ≈ 0.0524 cubic centimeters (rounded to four decimal places)
The difference of six times a number and seven results in 35.
Identify the steps necessary to solve the equation.
A.) Subtract 7, and then divide by 6.
B.) Divide by 6, and then subtract 7.
C.) Divide by 6, and then add 7.
D.) Add 7, and then divide by 6.
this is multiple choice
Answers
The difference of six times and seven results in 35.
Difference - subtract
Times - multiply
Result - answer
The subtraction of six multiplied by a number and (subtracting) seven gets you the answer of 35.
6x - 7 = 35
The answer would be...
B. Divide by 6, and then subtract by 7.
The diagram shows two right-angled triangles that share a common side. 6 10. Show that x is between 11 and 12.
Answers
We have two right-angled triangles that share a common side, with side lengths 6 and 10. Let's label the sides of the triangles as follows:
Triangle 1:
Side adjacent to the right angle: 6 (let's call it 'a')
Side opposite to the right angle: x (let's call it 'b')
Triangle 2:
Side adjacent to the right angle: x (let's call it 'c')
Side opposite to the right angle: 10 (let's call it 'd')
Using the Pythagorean theorem, we can write the following equations for each triangle:
Triangle 1:\(a^2 + b^2 = 6^2\)
Triangle 2: \(c^2 + d^2 = 10^2\)
Since the triangles share a common side, we know that b = c. Therefore, we can rewrite the equations as:
\(a^2 + b^2 = 6^2\\b^2 + d^2 = 10^2\)
Substituting b = c, we get:
\(a^2 + c^2 = 6^2\\c^2 + d^2 = 10^2\)
Now, let's add these two equations together:
\(a^2 + c^2 + c^2 + d^2 = 6^2 + 10^2\\a^2 + 2c^2 + d^2 = 36 + 100\\a^2 + 2c^2 + d^2 = 136\)
Since a^2 + 2c^2 + d^2 is equal to 136, we can conclude that x (b or c) is between 11 and 12
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a circle has a circumfrence of 28.26units what is the diameter
Answers
Answer:
14.13 is your diameter..
Step-by-step explanation:
Hope this helps u.. ;)
Eli is exploring a career choices. After randomly surveying 40 companies,he determines that the annual median salary for a computer tech Ian is 72,000. Which two statements are valid inferences for this situation
Answers
Answer:
The answer is A 50% of computer technicians earn more than $72,000 annually. Step-by-step explanation:
dont have 1 i cheated
Answer:
a and c
Step-by-step explanation:
what’s the slope of the line? i’m marking a brainliest!
Answers
Answer:
m = -2
Step-by-step explanation:
To get the slope of the line, we are going to use the 2-points slope equation form
That will be;
m = (y2-y1)/(x2-x1)
(x1,y1) = (-5,11)
(x2,y2) = (8,-15)
m = (-15-11)/(8-(-5)) = -26/13 = -2
The possible mistake she might have made is placing the x-values difference over the y and her formula will look like;
m = (x2-x1)/(y2-y1)
It is an error of switching the numerator for the denominator
Now suppose a new highway reduces shipping costs from Plant 3 to the North region by 25%. How will this change affect the appliance company?
a. This change in shipping costs will not affect the shipping plan, but will reduce the company's shipping costs.
b. This change in shipping costs may or may not affect the company. We need additional information to determine the exact effect.
c. Due to this cost reduction, the company's shipping plan will change and they will use the shipping route from Plant 3 to the North region.
d. This change in shipping costs will not affect the company since they are not using this shipping route.
Answers
This change in shipping costs may or may not affect the company.
We need additional information to determine the exact effect.
Option B is the correct answer.
We have,
While the reduction in shipping costs from Plant 3 to the North region is significant, we need more information about the company's current shipping plan, routes, and costs associated with other plants to determine if this change will impact their overall shipping strategy.
Thus,
This change in shipping costs may or may not affect the company.
We need additional information to determine the exact effect.
Learn more about cost and effects here:
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Give the following non-linear equation: z = x² + 4xy + 6xy² 1.1. Linearize the following equation in the region defined by 8 ≤x≤10,2 ≤y ≤4. (8) 1.2. Find the error if the linearized equation is used to calculate the value of z when x = 8, y = 2.
Answers
The linearized equation for the non-linear equation z = x² + 4xy + 6xy² in the region defined by 8 ≤ x ≤ 10, 2 ≤ y ≤ 4 is given by :
z ≈ 244 + 20(x - 8) + 128(y - 2).
When using the linearized equation to calculate the value of z at x = 8, y = 2, the error is 0.
1.1. To linearize the equation in the given region, we need to find the partial derivatives of z with respect to x and y:
∂z/∂x = 2x + 4y
∂z/∂y = 4x + 6xy
At the point (x₀, y₀) = (8, 2), we substitute these values:
∂z/∂x = 2(8) + 4(2) = 16 + 8 = 24
∂z/∂y = 4(8) + 6(8)(2) = 32 + 96 = 128
The linearized equation is given by:
z ≈ z₀ + ∂z/∂x * (x - x₀) + ∂z/∂y * (y - y₀)
Substituting the values, we get:
z ≈ z₀ + 24 * (x - 8) + 128 * (y - 2)
1.2. To find the error when using the linearized equation to calculate the value of z at x = 8, y = 2, we substitute these values:
z ≈ z₀ + 24 * (8 - 8) + 128 * (2 - 2)
= z₀
Therefore, the linearized equation gives the exact value of z at x = 8, y = 2, and the error is 0.
To learn more about linearized equation visit : https://brainly.com/question/2030026
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I need a. Correct answer I’ll mark brainliest
Answers
Answer:
7^11 / 4^11
Step-by-step explanation:
( 7/4) ^ 11
We know that ( a/b) ^c = a^c / b^c
7^11 / 4^11
Answer: B. \((\frac{7}{4})^{11} = \frac{7^{11}}{4^{11}}\)
Step-by-step explanation:
There is exponent rule that states \((\frac{a}{b})^{x} = \frac{a^x}{b^x}\)
So we can apply this rule to this problem.
\((\frac{7}{4})^{11} = \frac{7^{11}}{4^{11}}\)