Answer:
9%
Step-by-step explanation:
Probability of the first person being selected is 4/12 and the probability of the second person being selected is 3/11
The probability of both is:
4/12 x 3/11
= 1/11 which is 9%
\(\displaystyle\\|\Omega|=\binom{12}{2}=\dfrac{12!}{2!10!}=\dfrac{11\cdot12}{2}=66\\|A|=\binom{4}{2}=\dfrac{4!}{2!2!}=\dfrac{3\cdot4}{2}=6\\\\P(A)=\dfrac{6}{66}=\dfrac{1}{11}\approx9\%\)
all natural numbers less than 10 but greater than 2
Answer:
The numbers are: 3, 4, 5, 6, 7, 8, 9
Step-by-step explanation:
Natural Numbers are whole number from 0 to infinty. If you were to find all blow 10 but greater than 2 you would have 3, 4, 5, 6, 7, 8, 9
Hope This Helped!
Substituting the equation x = 4y - 12 into the equation -2y = x -
6 will produce the equation
Answer: y=-(4y-12)/2 + 3; x=0 y=3
Find (6) x (-3)
What is the answer to this?
Answer:
Multiply 6 by −3.
−18
Step-by-step explanation:
Hope it is helpful.....
Answer:
-18
Step-by-step explanation:
make sure you know your tables of 6 it might help you.
In regression analysis, if the dependent variable is measured in dollars, the independent variable _____.
In regression analysis, if the dependent variable is measured in dollars, the independent variable can be units.
What are dependent and independent variables in regression analysis?The outcome variable is also called the response or dependent variable, and the risk factors and confounders are called the predictors, or explanatory or independent variables. In regression analysis, the dependent variable is denoted "Y" and the independent variables are denoted by "X".The variable that is used to explain or predict the response variable is called the explanatory variable. It is also sometimes called the independent variable because it is independent of the other variable.To learn more about Dependent and Independent Variable, refer to:
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Question 1-
A scatter plot is shown on the coordinate plane.
Which two points would a line of fit go through to best fit the data?
A. (1,9) and (9,5)
B. (1,9) and (5,7)
C. (2,7) and (4,3)
D. (2,7) and (6,5)
Question 2-
Laila participated in a dance-a-thon charity event to raise money for the Animals are Loved Shelter. The graph shows the relationship between the number of hours Laila danced, x, and the money she raised, y.
Determine the slope and explain its meaning in terms of the real-world scenario.
A. The slope is 1/4, which means that the amount of the student raised increases by $0.75 each hour.
B. The slope is 4, which means that the amount the student raised increases by $4 each hour.
C. The slope is 12, which means that the student will finish raising money after 12 hours.
D. The slope is 20, which means that the student started with $20.
Question 1-
To determine which two points would a line of fit go through to best fit the data on the scatter plot, we need to visually analyze the pattern of the data points and choose two points that the line would pass through to represent the overall trend.
Without the actual scatter plot provided, I am unable to directly analyze it. However, based on the given answer choices:
A. (1,9) and (9,5)
B. (1,9) and (5,7)
C. (2,7) and (4,3)
D. (2,7) and (6,5)
Since I don't have the scatter plot, I cannot accurately determine which points would best fit the data. I would recommend carefully reviewing the scatter plot and selecting the two points that seem to represent the general trend or pattern of the data. The two points that form a line that closely follows the general direction of the data points would be the best choices.
Question 2-
To determine the slope of the relationship between the number of hours Laila danced, x, and the money she raised, y, we need to examine the graph and calculate the slope using the formula:
Slope = (change in y) / (change in x)
However, since the graph is not provided, it is not possible to directly calculate the slope. However, we can still evaluate the given answer choices based on their explanations:
A. The slope is 1/4, which means that the amount the student raised increases by $0.75 each hour.
B. The slope is 4, which means that the amount the student raised increases by $4 each hour.
C. The slope is 12, which means that the student will finish raising money after 12 hours.
D. The slope is 20, which means that the student started with $20.
From the explanations provided, it seems that option B would be the most reasonable choice. A slope of 4 would indicate that for each additional hour Laila danced, she raised $4. However, without the actual graph, it is challenging to confirm the accuracy of the answer choice or its real-world interpretation.
A box has candies in it: are taffy, are peppermint, and are butterscotch. Martina wants to select two candies to eat for dessert. The first candy will be selected at random, and then the second candy will be selected at random from the remaining candies. What is the probability that the first candy selected is taffy and the second candy is butterscotch
The required probability as calculated from the data given is 0.144.
number of taffy = 11
number of butterscotch = 3
number of caramel = 4
Total number of candies = 18
A: the probability that the first candy selected is taffy and the second candy is caramel
P(A) = (11/18)(4/17)
= 0.144
Probability means the likelihood of an even to occur it is calculated as the number of favorable outcomes divided by the total number of outcomes. It is use to make predictions and is helpful in industries such as weather forecasting.
Some common terms associated with probability are experiment , event , outcome, sample space etc.
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The odds of three players scoring a penalty are, respectively: 2/3, 4/5, 7/10. If each charges only once, what is the probability that:
a) everyone gets it right; (28/75) b) only one hit; (1/6)
c) all make mistakes; (1/50) d) two hit. (11/25)
The overall probability that all three players score their penalty is 28/75, only one player succeeds is 1/6, all three players fail is 1/50, and two players hit is 11/25.
Correct option is D. two hit (11/25).
This probability can be determined by first converting the odds of each player into probabilities and then using the law of probability to calculate the odds of various combinations of successes and fails.
The law of probability states that the probability of an event is the probability of success multiplied by itself the number of times the event happens.
For example, if a player has a probability of success of 2/3 for their penalty, then the probability of them scoring the penalty twice in a row would be (2/3)*(2/3) which is equal to 4/9. To calculate the probability that all three players score their penalty, the law of probability must be used.
To do this, first, the probability of success for each penalty must be calculated. Using the odds given, this would be 2/3 for the first player, 4/5 for the second player, and 7/10 for the third player. The overall probability of the three succeeding is then (2/3)*(4/5)*(7/10) which is equal to 28/75.
Correct option is D. two hit (11/25).
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a soft drink machine outputs a mean of 2727 ounces per cup. the machine's output is normally distributed with a standard deviation of 33 ounces. what is the probability of filling a cup between 2121 and 3030 ounces? round your answer to four decimal places.
The probability of the soft drink machine filling a cup between 2121 and 3030 ounces with a normal distribution of the mean of 2727 ounces and a standard deviation of 33 ounces is 0.
It is given that the soft drink machine's output is normally distributed.
We know that for any normal distribution with X~(μ,σ)
f(z)= 1/σ√2π . e^(-(x - μ)²/2σ²),for all z ∈ R.
where μ = The mean of the distribution
σ = the standard deviation of the distribution
Here
μ = 2727
σ = 33
We need to find
P(2121< x < 3030)
We know that the relation between a normal distribution and its Z-score is
P(a < X < b) = Φ((b- μ)/ σ) - Φ(a - μ/ σ)
here a = 2121 and b = 3030
Therefore we get
P(2121< x < 3030) = Φ((3030- 2727)/ 33) - Φ(2121 - 2727/ 33)
= Φ((303)/ 33) - Φ(-606/ 33)
= Φ((303)/ 33) - Φ(-606/ 33)
= Φ((9.181818) - Φ(-18.363636)
From the Z score table, we know that the p-value will be
0 - 0
= 0
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the american bankers association reported that, in a sample of 120 consumer purchases in france, 60 were made with cash, compared with 26 in a sample of 50 consumer purchases in the united states. construct a 90 percent confidence interval for the difference in proportions. (round your intermediate value and final answers to 4 decimal places.)
We are 90% confident that the true difference in proportions between France and the United States falls between -0.1783 and 0.1383.
What is proportion?
The size, number, or amount of one thing or group as compared to the size, number, or amount of another. The proportion of boys to girls in our class is three to one.
The point estimate for the difference in proportions between France and the United States is:
p₁ - p₂ = (60/120) - (26/50) = 0.5 - 0.52 = -0.02
We can use the following formula to calculate the standard error of the difference in proportions:
SE = √(p₁ * (1 - p₁) / n₁ + p₂ * (1 - p₂) / n₂)
where n₁ and n₂ are the sample sizes.
SE = √((0.5 * 0.5 / 120) + (0.52 * 0.48 / 50))
SE = 0.0936
To construct a 90% confidence interval, we can use the formula:
(point estimate) ± (critical value) * (standard error)
The critical value for a two-sided 90% confidence interval with 169 degrees of freedom (calculated as df = (p₁ * n₁ + p₂ * n₂) / (p₁ + p₂)) can be found using a t-distribution table or calculator.
For a 90% confidence level, the critical value is approximately 1.656.
Using these values, the 90% confidence interval for the difference in proportions is:
-0.02 ± 1.656 * 0.0936
which simplifies to:
-0.1783 to 0.1383
Therefore, we are 90% confident that the true difference in proportions between France and the United States falls between -0.1783 and 0.1383.
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A relation is plotted as a linear function on the coordinate
plane starting at point A (0, -9) and ending at point B (7,5).
What is the rate of change for the linear function and what
is its initial value?
The rate of change is
and the initial value is
rate of change: -2
initial value: 0
rate of change: 2
initial value: 0
The unit rate of change of the given relation is equivalent to 2 units.
What is a relation?A relation between two sets is a collection of ordered pairs containing one object from each set.
Given is that a relation is plotted as a linear function on the coordinate
plane starting at point A(0, -9) and ending at point B (7,5).
The unit rate of change of the function can be given as -
r = (y₂ - y₁)/(x₂ - x₁).
Putting the values, we get -
r = (5 + 9)/(7- 0)
r = 14/7
r = 2
Therefore, the unit rate of change of the given relation is equivalent to 2 units.
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What is the forecast for May using a five-month moving average?(Round answer to the nearest whole number.) Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47
A. 43 B. 47 C. 52 D. 38 E. 39
The forecast for May using a five-month moving average is 39 (Option E).
Moving average is used for smoothing out time series data to find any trends or cycles within the data. A five-month moving average is the average of the past five months. To calculate the moving average, add up the sales for the previous five months and divide it by five.
According to the question, the sales for the previous five months are: Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47
We have to add the sales of these five months, which gives:
27 + 40 + 42 + 41 + 47 = 197
To find the moving average for May, we divide this sum by 5:
197 / 5 = 39.4
Since we have to round the answer to the nearest whole number, we round 39.4 to 39, which is option E.
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Mr. Rodriguez has only $62.50 to spend at a clothing store. He wants to buy a shirt that costs $35, including tax and some bracelets that cost $5.50 each, including tax.
Part A: Write an equation to determine x, the maximum number of bracelets, Mr. Rodriguez could buy.
Part B: Solve the equation to determine the number of bracelets Mr. Rodriguez could buy. Write just the number please.
Answer:
5 braceletsStep-by-step explanation:
Part A
35 + 5.50x = 62.50Part B
5.50x = 62.50 - 355.50x = 27.50x = 27.50/5.50x = 5what is the answer to the problem 5x20
Answer:100
Step-by-step explanation:
5x2=10
Add a 0 at the end of the number
100
Solve x to the power of 3 = 8
Answer:
The answer is c
Step-by-step explanation:
I took the quiz and got it right.
PLEASE HELP ASAP
What is the area of the real object that the scale drawing models?
A. 20 sq cm
B. 180 sq cm
C. 120 sq cm
D. 60 sq cm
Answer:
B. 180 sq cm
Step-by-step explanation:
if the area of the scale drawing is 20 cm then the width must be 5cm and the length is 4cm.
Since the scale factor is 1:3 you multiply the side lenghts by 3. So the width of the real object is 15 cm and the length is 12 cm.
Multiply L x W to get area, 15 x 12 = 180
A new L.E.D. light bulb has an expected life time of 25000 hours. Your guess for the probability that it will last more than 3 years is closest to: (Assume life times follow the exponential distribution) (A) 100% (B) 99% (C) 53% (D) 35% (E) 0%
The exponential distribution may be used to predict the failure rate of certain items over time. An LED light bulb has an expected lifetime of 25000 hours. Assuming that the lifetime of the LED light bulb follows the exponential distribution, the probability that it will last more than 3 years is closest to (C) 53%. Correct answer is option C
This is because the lifetime of an LED light bulb can be estimated using the following equation : P(x > 3 years) = 1 - P(x ≤ 3 years)where x is the lifetime of the LED light bulb.If we convert 3 years to hours, we get 3 * 365 * 24 = 26280 hours. As a result, P(x ≤ 3 years) = P(x ≤ 26280 hours)
Using the formula for exponential distribution, the probability of the LED light bulb failing after 26280 hours is : Probability = 1 - e^{-λx} Where λ is the failure rate per hour and x is the length of time in hours.We can now calculate the value of λ by dividing the expected lifetime of the bulb by the total number of hours.
λ = 1/25000 hours This implies that the probability of the LED light bulb failing after 26280 hours is : P (x ≤ 26280 hours)
Therefore, the probability that the LED light bulb will last more than 3 years is approximately 53 percent. The Correct answer is option C
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I NEED HELP PLEASE i would greatly appreciate it
Answer:
1. 51.2
2. 1080
3. 6.35
4. 2.7348
Step-by-step explanation:
spider knows all /╲/\╭(ರರ⌓ರರ)╮/\╱\
Natasha drives at a speed of 80 miles per hour.
How long will it take to drive 440 miles?
Answer:
5.5 hours
Step-by-step explanation:
Kim reads 6 pages in her book in 9 minutes. How many pages per minute is that
Answer:
2/3 pages per minute
Step-by-step explanation:
First we do 6/9. Then simplyfy. This equals 2/3. (I'm sorry if this is incorrect! )
Find the equation of the given conic. horizantal ellipse with centre (5,1), major diameter 10, minor diameter 8
The equation of the given conic, horizontal ellipse is (x - 5)²/5² + (y - 1)²/4² = 1 or 16x² + 25y² - 160x - 50y + 325 = 0.
In mathematics, an ellipse is the location of points in a plane so that their separation from a fixed point has a set ratio of "e" to their separation from a fixed line (less than 1). The conic section, which is the intersection of a cone with a plane that does not intersect the base of the cone, includes the ellipse. The eccentricity of the ellipse is symbolized by the constant ratio "e," the fixed point is known as the focus, and the fixed line is known as the directrix (d).
The ellipse formula equation aids in the algebraic representation of an ellipse. You may use the following formula to determine an ellipse's equation:
The ellipse's equation with a center at (0, 0) is as follows: x²/a² + y²/b² = 1.
An ellipse with a center at (h,k) has the following equation: (x - h)²/a² + (y - k)²/(b²) = 1, where a and b are the semi-major and semi-minor diameters.
In the question, we are given that the center (h,k) = (5,1), the major diameter = 10, or, a = 10/2 = 5, and the minor diameter = 8, or, b = 8/2 = 4.
Substituting in the equation, we get:
(x - 5)²/5² + (y - 1)²/4² = 1, in the general form, and,
16(x² + 25 - 10x) + 25(y² + 1 - 2y) = 100,
or, 16x² + 400 - 160x + 25y² + 25 - 50y = 100,
or, 16x² + 25y² - 160x - 50y + 325 = 0.
Thus, the equation of the given conic, horizontal ellipse is (x - 5)²/5² + (y - 1)²/4² = 1 or 16x² + 25y² - 160x - 50y + 325 = 0.
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What does it mean when you write your measurement as the mean ± standard deviation? (i.e., how much of the data fall within this range?)
When you write your measurement as the mean ± standard deviation, it means that you are displaying how far the data is spread out from the mean value. A normal distribution is one that is symmetrical and bell-shaped, where most of the data lies near the mean value.
When you write your measurement as the mean ± standard deviation, it means that you are displaying how far the data is spread out from the mean value. In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values. When you add the standard deviation to the mean and also subtract the standard deviation from the mean, you get the upper and lower bounds of the range that contains about 68% of the data. This range is called one standard deviation.The value of the standard deviation indicates how much the data varies around the mean. If the standard deviation is high, then the data is widely spread out and vice versa. Additionally, when you write a measurement as the mean ± standard deviation, it is assumed that the data is normally distributed. A normal distribution is one that is symmetrical and bell-shaped, where most of the data lies near the mean value.
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Help me with this pls
Answer:
its C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Household Income (thousands)
38
45
76
93
50
54
29
44
62
31
The household incomes for 10 different households are shown. What is the mean absolute deviation for the group (round to the
nearest tenth)?
The mean absolute deviation for the group of household incomes is approximately 14.8 (rounded to the nearest tenth).
To calculate the mean absolute deviation (MAD) for a group of data, we follow these steps:
Find the mean (average) of the data set.
Subtract the mean from each data point, obtaining the deviations.
Take the absolute value of each deviation.
Find the mean of the absolute deviations.
Given the household incomes for 10 different households:
38, 45, 76, 93, 50, 54, 29, 44, 62, 31
Let's calculate the MAD step by step:
Find the mean (average):
Mean = (38 + 45 + 76 + 93 + 50 + 54 + 29 + 44 + 62 + 31) / 10
Mean = 482 / 10
Mean = 48.2
Calculate the deviations:
Deviation for each data point = Data point - Mean
Deviation for 38 = 38 - 48.2 = -10.2
Deviation for 45 = 45 - 48.2 = -3.2
Deviation for 76 = 76 - 48.2 = 27.8
Deviation for 93 = 93 - 48.2 = 44.8
Deviation for 50 = 50 - 48.2 = 1.8
Deviation for 54 = 54 - 48.2 = 5.8
Deviation for 29 = 29 - 48.2 = -19.2
Deviation for 44 = 44 - 48.2 = -4.2
Deviation for 62 = 62 - 48.2 = 13.8
Deviation for 31 = 31 - 48.2 = -17.2
Take the absolute value of each deviation:
Absolute deviation for each data point = |Deviation|
Absolute deviation for -10.2 = 10.2
Absolute deviation for -3.2 = 3.2
Absolute deviation for 27.8 = 27.8
Absolute deviation for 44.8 = 44.8
Absolute deviation for 1.8 = 1.8
Absolute deviation for 5.8 = 5.8
Absolute deviation for -19.2 = 19.2
Absolute deviation for -4.2 = 4.2
Absolute deviation for 13.8 = 13.8
Absolute deviation for -17.2 = 17.2
Find the mean of the absolute deviations:
Mean Absolute Deviation (MAD) = (10.2 + 3.2 + 27.8 + 44.8 + 1.8 + 5.8 + 19.2 + 4.2 + 13.8 + 17.2) / 10
MAD = 148 / 10
MAD = 14.8
To the nearest tenth, this means that the mean absolute deviation for the group of household incomes is around 14.8.
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help plz anyone :( will mark
Answer:
area of square - area of circle
s² - pie r²
3² - 3.14 x1 x1
9 - 3.14 cm²
your answer is 5.86cm²
this is area of shaded region
nearest hundered is 6cm²
plz brainlist me bro I need it plz
her answer is wrong brainlist me
Answer:
The area of the shaded region is
Step-by-step explanation:
we know that
The area of the shaded region is equal to the area of the rectangle minus the area of the circle
The rectangle is a square
So.... Plz check rest in the pic!
Hope it helped u if yes mark me BRAINLIEST!
Tysm!
which choice is equivalent to the expression below 2^7 times 19
The expression 2^7 times 19 can be simplified by first evaluating the exponential term, 2^7, which is equal to 128. Therefore:2^7 times 19 = 128 * 19We can then evaluate the product of 128 and 19 using multiplication. When we do that, we get:2^7 times 19 = 2432Therefore, the choice that is equivalent to the expression 2^7 times 19 is 2432
Solve the equation.
9x^3 - 36x = 0
Answer:
x = -2,0,2
Step-by-step explanation:
9x^3 - 36x = 0
Factor out 9x
9x(x^2 -4) =0
Factor inside the parentheses, which is the difference of squares
(a^2 -b^2 = (a-b)(a+b)
9x (x-2)(x+2) = 0
Using the zero product property
9x =0 x-2=0 x+2 =0
x=0 x=2 x=-2
x = -2,0,2
Using a minimum of three points, create two linear functions. Prove the line created works exclusively with the three points by justifying how the x-value and y-value fit into the equation for the line.
The equation of the line passing through the point (-1, 1) and (0, 10) is y = 9x + 10
What is a linear function?A linear function is in the form:
y = mx + b
Where y, x are variables, m is the rate of change and b is the y intercept.
From the table, using the point (-1, 1) and (0, 10) ,hence:
\(y-1=\frac{10-1}{0-(-1)} (x-(-1))\\\\y=9x+10\)
The equation of the line passing through the point (-1, 1) and (0, 10) is y = 9x + 10
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The length of a rectangular garden is three feet less than twice its width. If the perimeter of the garden is 42 fett, what is its length?
Answer:
13 feet
Step-by-step explanation:
If the length is 3 less than 2x the width, you can set up the equation 2(2w-3) + 2(w) = 72 and solve. That gives you w = 8. Lastly plug it in and that gives you 13.
WHAT IS THE VALUE OF Z, WILL GIVE BRAINLIEST
Which expressions result in an irrational number
Answer:
III ONLY
If right please make brainleist for others to learn from this answer thanks!
Step-by-step explanation: