Answer:
x=45
Step-by-step explanation:
90+2x=4x
2x=4x-90
2x-4x=-90
-2x=-90
x= -90/-2
x=45
No links, I just need an explanation on how to do this, like step by step because I don't understand. T-T
Answer:
a. Jared and Ali
Step-by-step explanation:
b. Molly make mistake when he/she divide all equation by 4 but left the 8x remain 8x, it should be 2x.
Mark make mistake in changing the sign whitout changing side/ passing trough equal sign. FYI, + can be - and also - can be + if they move to the other side
i.e.
2 + 3 = 5
2 = 5 - 3
we would associate the term inferential statistics with which task?
Inferential statistics involves using sample data to make inferences, predictions, or generalizations about a larger population, providing valuable insights and conclusions based on statistical analysis.
The term "inferential statistics" is associated with the task of making inferences or drawing conclusions about a population based on sample data.
In other words, it involves using sample data to make generalizations or predictions about a larger population.
Inferential statistics is concerned with analyzing and interpreting data in a way that allows us to make inferences about the population from which the data is collected.
It goes beyond simply describing the sample and aims to make broader statements or predictions about the population as a whole.
This branch of statistics utilizes various techniques and methodologies to draw conclusions from the sample data, such as hypothesis testing, confidence intervals, and regression analysis.
These techniques involve making assumptions about the underlying population and using statistical tools to estimate parameters, test hypotheses, or predict outcomes.
The goal of inferential statistics is to provide insights into the larger population based on a representative sample.
It allows researchers and analysts to generalize their findings beyond the specific sample and make informed decisions or predictions about the population as a whole.
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Brandon’s factory produces 832 containers per hour on the first production line. After maintenance is completed on the first production line, the factory is able to produce 1102 containers per hour. By what approximate percent did the maintenance increase production? (Round your answer to the nearest whole percent.)
Answer:
270
Step-by-step explanation:
1102-832
for the following vectors, (a) find the dot product vw; (b) find the angle between v and w; (c) state whether the vectors are parallel, orthogonal, or neither. vij, wij
The vectors v and w are orthogonal because their dot product is 0 .
The angle between v and w is :
\(cos\theta=0\\\\= > \theta=90\)
We have the information from the question:
v = -i - j,
w = -i + j
We have to find the dot product and state the vectors are parallel, orthogonal, or neither. vij, wij.
Now, According to the question:
The dot product are:
(v)(w) = (-i - j)( -i + j)
Taking each set of integer of the vector into consideration:
(v)(w) = ( -1 × - 1) ( -1 × 1)
(v)(w) = 1 - 1
(v)(w) = 0
So, The dot product is 0
This is implies that :
\(cos\theta=0\\\\= > \theta=90\)°
Hence, we can conclude that :
The vectors v and w are orthogonal because their dot product is 0 .
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The given question is incomplete, complete question is:
for the following vectors, (a) find the dot product vw; (b) find the angle between v and w; (c) state whether the vectors are parallel, orthogonal, or neither. vij, wij
v=-i-j, w=-i+j
Someone who wants to go camping in the spring starts to pack his backpack and this camper must pack three items: food, first-aid kits, and clothes. The backpack has a capacity of 9 ft 3. Each unit of food takes 2ft 3 . A first-aid kit occupies 1ft 3 , and each piece of cloth takes about 3ftt 3 . The hiker assigns the benefit of the items as 7, 5 , and 6 to food, first aid, and clothes, respectively, which means that foods are the most valuable of the three items. From experience, the hiker must take at least one unit of each item. How many of each item should the camper take?
The camper should take 3 units of food, 1 first-aid kit, and 1 piece of clothing within the given constraints.
To determine the optimal number of each item the camper should take, we need to maximize the total benefit while considering the capacity constraint of the backpack.
Let's assume the camper takes x units of food, y first-aid kits, and z pieces of clothing.
The backpack has a capacity of 9 ft^3, and each unit of food takes up 2 ft^3. Therefore, the constraint for food is 2x ≤ 9, which simplifies to x ≤ 4.5. Since x must be a whole number and the camper needs at least one unit of food, the camper can take a maximum of 3 units of food.
Similarly, for first-aid kits, since each kit occupies 1 ft^3 and the camper must take at least one, the constraint is y ≥ 1.
For clothing, each piece takes 3 ft^3, and the constraint is z ≤ (9 - 2x - y)/3.
Now, we need to maximize the total benefit. The benefit of food is assigned as 7, first aid as 5, and clothing as 6. The objective function is 7x + 5y + 6z.
Considering all the constraints, the possible combinations are:
- (x, y, z) = (3, 1, 0) with a total benefit of 7(3) + 5(1) + 6(0) = 26.
- (x, y, z) = (3, 1, 1) with a total benefit of 7(3) + 5(1) + 6(1) = 32.
- (x, y, z) = (4, 1, 0) with a total benefit of 7(4) + 5(1) + 6(0) = 39.
- (x, y, z) = (4, 1, 1) with a total benefit of 7(4) + 5(1) + 6(1) = 45.
Among these combinations, the highest total benefit is achieved when the camper takes 3 units of food, 1 first-aid kit, and 1 piece of clothing.
Therefore, the camper should take 3 units of food, 1 first-aid kit, and 1 piece of clothing to maximize the total benefit within the given constraints.
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Pls help me with solving the problem below.
The value of a+ b + c + d + e + f is 2.
What is Factored Form?It is referred to as being in factored form when a quadratic expression is represented as the sum of two linear factors plus a constant.
We have to factor x² – y² – z² + 2yz.
Using the general rule that p² – 2pq + q² = (p – q)² .
So we want to rearrange the last three terms.
= x² + (–y² – z² + 2yz)
Now, If we were to factor out a –1 from the last three terms, we have
= x² – (y² + z² – 2yz)
Now put y² + z² – 2yz = (y – z)².
= x² – (y – z)²
This expression is actually a differences of squares.
We know p² – q² as (p – q)(p + q).
=x² – (y – z)²
= (x – (y – z))(x + (y – z))
Now, let's distribute the negative one in the trinomial x – (y – z)
= (x – (y – z))(x + (y – z))
= (x – y + z)(x + y – z)
Now, comparing (x – y + z)(x + y – z) and (ax + by + cz)(dx + ey + fz)
we get a = 1, b = –1, c = 1, d = 1, e = 1, and f = –1.
So, a+ b + c + d + e + f
= 1 - 1 + 1+ 1 +1 - 1
= 2
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What are the measures of ∠a, ∠b, and ∠c?
Answer:
a should be 45
b should be 90
c should also be 45
Step-by-step explanation:
I know this because 180-135=45 for a
since c is also 45, beside c should be 135.
which means those angles are congruent.
since a triangle equals 180 degrees all together 180-45-45=90
so b is 90
correct me if im wrong
in a survey conducted on an srs of 200 american adults, 72% of them said they believed in aliens. give a 95% confidence interval for percent of american adults who believe in aliens.
A 95% confidence interval for percent of american adults who believe in aliens: (0.6578, 0.7822)
In this question we have been given that in a survey conducted on an srs of 200 american adults, 72% of them said they believed in aliens
We need to find the 95% confidence interval for percent of american adults who believe in aliens.
95% confidence interval = (p ± z√[p(1 - p)/n])
Here, n = 200
p = 72%
p = 0.72
And the z-score for 95% confidence interval is 1.960
The upper limit of interval would be,
(p + z√[p(1 - p)/n])
= 0.72 + 1.960 √[0.72(1 - 0.72)/200]
= 0.72 + 1.960 √[(0.72 * 0.28)/200]
= 0.72 + 1.960 √0.001008
= 0.72 + 0.0622
= 0.7822
The lower limit of interval would be,
(p - z√[p(1 - p)/n])
= 0.72 - 1.960 √[0.72(1 - 0.72)/200]
= 0.72 - 1.960 √[(0.72 * 0.28)/200]
= 0.72 - 1.960 √0.001008
= 0.72 - 0.0622
= 0.6578
Therefore, a 95% confidence interval = (0.6578, 0.7822)
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There are 4 questions I need help with (all the same topic).
The answer needs to be as a surd, please help me. I'm stuck, I've done a few like this but I'm confused for this one. (Please explain your working clearly, I'm not smart enough to understand).
The simplified form of the given expression is 4/√6. Therefore, option D is the correct answer.
What are surds?A surd is an expression that includes a square root, cube root or other root symbol. Surds are used to write irrational numbers precisely – because the decimals of irrational numbers do not terminate or recur, they cannot be written exactly in decimal form.
The given expression is 6√2/√3 - 8/3√(3/2).
Here, 6√2/√3 - 8√3/3√2
= 6√2/√3 - 8/√3√2
= 6√2/√3 - 8/√6
= 12/√6- 8/√6
= 4/√6
Therefore, option D is the correct answer.
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This table shows the scores that Mario had on his last five math tests.
Which statement does NOT describe this set of data?
A. The mode is 85.
B. The mean is greater than the median.
C. The median is 81.
D. The mode and the median are equal.
Answer:
Step-by-step explanation:
its A i just did it lol
Help me to answer this pls:))
Answer:
1 . 20/4 = 5
2. 18 × 2 =36
3. 672/96 = 7
4. 8 × 17 = 136
Step-by-step explanation:
Easy eats diner is a large restaurant chain after paying for a meal at easy eats diner customers are asked to rate the quality of food as a 1,2,3,4,or 5, where a rating of 1 means not good and 5 means excellent the customers ratings have a population mean of
The mean and the standard deviation of the sampling distribution of the sample mean is equal to 4.57 and 0.69 respectively.
Population mean 'μ' = 4.57
Sample size 'n' = 7
Population Standard deviation 'σ' =1.82
Mean of the sampling distribution of the sample mean is equal to the population mean,
which is μ = 4.57.
So, μₓ = μ = 4.57.
Standard deviation of the sampling distribution of the sample mean also known as the standard error of the mean.
Using the formula we have,
σₓ = σ / √(n)
Substituting the given values, we have,
⇒ σₓ = 1.82 / √(7)
⇒ σₓ = 1.82 / 2.646
⇒ σₓ = 0.6878
⇒ σₓ ≈ 0.69
This implies,
The standard deviation of the sampling distribution of the sample mean is σₓ ≈ 0.69.
Therefore, the mean of the sampling distribution of the sample mean and
standard deviation of the sampling distribution of the sample mean is equal to 4.57 and 0.69 respectively.
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The above question is not complete, the complete question is:
Easy Eats Diner is a large restaurant chain. After paying for a meal at Easy Eats Diner, customers are asked to rate the quality of the food as a 1, 2, 3, 4, or 5, where a rating of 1 means "not good" and 5 means "excellent". The customers' ratings have a population mean of μ = 4.57, with a standard deviation of σ=1.82. Suppose that we will take a random sample of n= 7 customers' ratings. Let x represent the sample mean of the 7 customers' ratings. Consider the sampling distribution of the sample mean x.
Complete the following. Do not round any intermediate computations. Write your answers with two decimal places, rounding if needed.
(a) Find μₓ(the mean of the sampling distribution of the sample mean). ?
(b) Find σₓ (the standard deviation of the sampling distribution of the sample mean). ?
Estimate 81.244.+65.33 by first rounding each number to the nearest whole number
If we round 81.244 to the nearest whole number then it would be 81.
For 65.33 is 65. Then, we sum.
\(81+65=146\)Hence, the answer is 146.karl records the number of city blocks from his house to each of his friends houses. which statement is supported by the data?
Number of City Blocks to eight friends houses 1, 2, 5, 3, 2, 2, 5, 3
Answer:
3 one
Step-by-step explanation:
The statement that supports the data is the mean distance to his friends' houses is in between 2 and 3 blocks.
What is mean, median and mode?Mean: The average of the given data points.Median: The central point of the whole data set.Mode: The number that occurs for the maximum times in the data set.Given:
Karl records the number of city blocks from his house to each of his friends houses.
Data set for the number of city blocks to eight friends houses:
{1, 2, 5, 3, 2, 2, 5, 3}
The first option: it is given that the maximum number of blocks the Karl lives from his friend is 4, but according to the data set, the maximum number of house blocks should be 5.
Hence, this option is incorrect.
The second option: It is given that the mode shows that Karl has 3 friends who live 3 blocks from him, but according to the given data set Karl has 3 friends who lives 2 blocks from him. Hence the mode is 2.
Hence, this option is incorrect.
The third option: It is given that the minimum distance from Karl's house to a friend's is 2 blocks, but according to the given data set the minimum distance from Karl's house to a friend's is 1 block.
Hence, this option is incorrect.
The fourth option: It is given that the mean distance to his friend's houses is in between 2 and 3 blocks.
We will find the mean for the given data set.
⇒ Mean = (Sum of all the data points) / (Total number of data points)
⇒ Mean = (1 + 2 + 5 + 3 + 2 + 2 + 5 + 3)/8
⇒ Mean = 23/8
⇒ Mean = 2.875
∴ The mean distance from Karl to his friend's houses is 2.875 which is in between 2 and 3.
Hence, this option is correct.
Therefore, the fourth option which says the mean distance between Karl and his friend's houses is in between 2 and 3 is correct.
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Of the pizzas recently sold at Pizza Pies, 10 had pepperoni and 2 did not. Considering this data, how many of the next 6 pizzas sold would you expect to have pepperoni?
Answer:
1 pizza
Step-by-step explanation:
Of the pizzas recently sold at Pizza Pies, 10 had pepperoni and 2 did not.
This means, the total number of pizzas sold is
10 pepperoni + 2 pizzas without pepperoni = 12 pizzas
Hence, the number of 6 pizzas that would be sold without pepperoni is calculated as:
From the above question,
12 pizzas = 2 pizza without pepperoni
6 pizzas = x
Cross Multiply
12 pizzas × x = 6 Pizzas × 2 pizza without pepperoni
x = 6 Pizzas × 2 pizza without pepperoni/12 pizzas
x = 1 pizza without pepperoni
Therefore, 1 pizza would not have pepperoni out of 6 pizzas sold
Answer:
5
Step-by-step explanation:
Please help I will give brainliest
Answer:
15 mi
Step-by-step explanation:
\(a^2+b^2=c^2\\9^2+12^2=c^2\\81+144=225\\\sqrt{225}=c\\ c=15\)
1. A function rule is y = 1 - 4x. The
domain is {-4, -2, 0, 2, 4}. Which
of the following identifies the
range?
A. {-15, -7,1, 9, 17}
B. {-16, -8,0, 8, 16}
C. {-17, -9, 1, 7, 15}
D. {(-4, 4), (-2, 2), (0, 0)}
Answer: A
Step-by-step explanation:
Plug in each domain for x one by one to get y/range = {-15, -7, -1, 9, 17}
A landscaper buys for bushes and seven trees for a total of 855.65 if a tree cost $101.95 what is the cost of a bush
$35.50........... ....
Answer:
7 554 .5
Step-by-step explanation:
46£¥^99$
368¥/%#(₩098$%(₩¥=98€€₩($$¥97
Which polygon will always have 4-fold reflectional symmetry.
A square will always have 4-fold reflectional symmetry.
Square is a polygon with four equal sides and four right angles. It possesses 4-fold reflectional symmetry because it can be divided into four equal quadrants that are mirror images of each other. Each quadrant can be reflected along two perpendicular lines, resulting in four identical parts. The lines of reflection are the diagonals of the square, which bisect each other at right angles. This symmetry property makes the square an ideal choice for designs or patterns that require balanced and symmetrical elements.
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Write an equation of the line passing through the given point (2, -9)
and having the given '
slope m = -7. Write the final answer in slope-intercept form.
Answer:
y = -7x - 4
Step-by-step explanation:
To write an equation of the line passing through the point (2, -9) with a slope of m = -7, we can use the point-slope form of the equation of a line:
y - y1 = m(x - x1)
where (x1, y1) is the given point and m is the slope.
Substituting the given values, we get:
y - (-9) = -7(x - 2)
Simplifying:
y + 9 = -7x + 14
y = -7x + 5 - 9
y = -7x - 4
Therefore, the equation of the line passing through the point (2, -9) with a slope of m = -7 is:
y = -7x - 4
The equation of the line in stope-intercept form is: y = -7x + 5
How to write the equation of a Line?The general form for the equation of a line in slope intercept form is:
\(\text{y} = \text{mx} + \text{c}\)
Where:
m is slopec is y-interceptWe are given that the equation of the line passes through the point (2, -9) and has the slope -7. Thus:
\(-9 = -7(1) + \text{b}\)
\(\text{b}=5\)
Thus, the equation is:
\(\rightarrow \bold{y = -7x + 5}\)
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Solve for x. Please helppppp!!!!!!!
Answer:
x=40
Step-by-step explanation:
100+2x=180
80=2x
x=40
Answer:
40°, because 180 minus 100 is 80, then divided 80 by 2 (because there is two 2's) and you get 40
Step-by-step explanation:
Bleh :b
What is the answer for number 1?
Answer:
A
Step-by-step explanation:
x only can have 1 function
which number comes next in this series 5, 7, 11, 19, 35
Answer: 67
Step-by-step explanation:
We see a pattern where we multiply the number we added by previously by two.
For example, from 5 to 7, it is 2.
From 7 to 11, we add by 4.
From 11 to 19, we add by 8.
From 19 to 35, we add by 16.
This means the next number would be 32, adding 35 by 32 gives us 67,
Which is a perfect square?
•6^1
•6^2
•6^3
•6^5
Answer:
6^2
Step-by-step explanation:
A perfect square has to be raised to an even power
The only one raised to an even power is
6^2
Who has the lowest balance? explain your answer.
Answer:
Angie
Step-by-step explanation:
When it is negative it basically means you owe that amount and Angie owes the most
Answer:
Angie because the bigger a negative number it the less in value it is.
Step-by-step explanation:
10.2.4:Using the bijection rule to count ternary strings whose digits sum to a multiple of 3. i About Let T={0,1,2}.A string x E T" is said to be balanced if the sum of the digits is an integer multiple of 3 (a) Show a bijection between the set of strings in T that are balanced and T.Explain why your function is a bijection (b) How many strings in T are balanced? Feedback?
There are 3 balanced strings in set T.
How many balanced strings are in set T?To count the number of balanced strings in the set T={0, 1, 2}, we can establish a bijection between the set of balanced strings and T itself. A balanced string is defined as a string in which the sum of its digits is a multiple of 3.
We can define a function f: T" -> T that maps each string in T" to T by preserving the balanced property. If a string in T" is already balanced, f returns the string itself. If the string is not balanced, f replaces the last digit with digit that makes the sum a multiple of 3.
By showing that this function is both injective (one-to-one) and surjective (onto), we establish a bijection. The bijection rule states that if two sets have a bijection between them, they have the same cardinality. Therefore, the number of balanced strings is equal to the number of elements in T, which is 3.
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Points D and E are midpoints of the sides of triangle ABC. The perimeter or the triangle is 48 units. What is the value of t?
Answer:
2 units
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. Types of triangle are acute, obtuse, scalene, isosceles, equilateral and right angled triangle.
Since point D and E are midpoints of the sides of triangle ABC, hence:
AD = BD = 3t, BE = CE = 4t, AC = 7t + 6
The perimeter of triangle ABC = AC + BC + AB = AC + AD + BD + BE + CE;
Substituting:
48 = 7t + 6 + 3t + 3t + 4t + 4t = 21t + 6
48 = 21t + 6
21t = 42
t = 2 units
The Medicare tax rate is 1.45% how much would be withheld form someone paycheck for Medicare with wages of $1,738 for that pay period
Answer: \(\$25.201\)
Step-by-step explanation:
Given
The Medicare tax rate is 1.45%
The wages of a person is $1738
The amount which is withheld from the person paycheck is
\(\Rightarrow 1738\times 1.45\%\\\Rightarrow 1738\times 0.0145\\\Rightarrow \$25.201\)
if you conduct a hypothesis test (for example, a z test), and find a p-value of .30, what is the meaning of the p-value?
The value for p is 30.
Hypothesis.Though there is not so much information, but the fact that $700 is an average. We can work with two hypothesis at first, he first Hypothesis before the downturn the rent are over $700. And the second one, the bedroom rent are under $700.Graphically, the shaded area before the downturn, represents the set of values for Rents greater than $700. So, rent (y) > 700) Graphically, the shaded area after the downturn, represents the set of values for Rents lesser than $700. So, rent 700 <y<0A hypothesis is an educated prediction regarding the solution to a scientific question that is supported by sound reasoning. It is the expected result of the experiment, however it is not proof in an experiment.Depending on the information received, it might be supported or might not be supported at all.learn more about hypothesis click here:
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A truck can be rented from Company A for $140 a day plus $0.40 per mile. Company B charges $60 a day plus $0.50 per mile to rent the same truck. Find the numbers of miles In a day at which the rental costs for Company A and B are the same. (PLEASE ANSWER I CANT FAIL THIS SEMESTER FRFR)
Answer:
please see attached picture