Three friends all live
on the same street that runs west to east. Beth
lives 5 blocks from Ann. Carl lives 2 blocks from
Beth. If the street is represented by a number
line and Ann's house is located at 0, what are the
possible locations for Carl's house? Assume that
each unit on the number line represents 1 block.
Answer:
Carl lives seven blocks away from Ann
Step-by-step explanation:
You start at Ann's house ( 0 ) 0+5+2=7
Beth is five blocks from Ann ( 5 )
Carl lives two blocks from Beth ( 2 )
Answer:
carl can be at 4 or 2
Step-by-step explanation:
\(7b6n5/5bn2\)
Answer:
Step-by-step explanation:
The joint probability mass function of X and Y, p(x,y), is given by:
p(1,1)=1/9, p(2,1)=1/3, p(3,1)=1/9,
p(1,2)=1/9, p(2,2)=0, p(3,2)=1/18,
p(1,3)=0, p(2,3)=1/6, p(3,3)=1/9
Compute E[X|Y=1], E[X|Y=2], E[X|Y=3]
The marginal probability mass function for X is given by P(X = 1) = 6/18 = 1/3P(X = 2) = 5/18P(X = 3) = 5/18.
First, let us compute the marginal probability mass function for X.
p(1,1) + p(2,1) + p(3,1) = 1/9 + 1/3 + 1/9 = 5/9p(1,2) + p(2,2) + p(3,2) = 1/9 + 0 + 1/18 = 1/6p(1,3) + p(2,3) + p(3,3) = 0 + 1/6 + 1/9 = 5/18
Therefore, the marginal probability mass function for X is given by P(X = 1) = 6/18 = 1/3P(X = 2) = 5/18P(X = 3) = 5/18
We are asked to compute E[X|Y = 1], E[X|Y = 2], and E[X|Y = 3]. We know that E[X|Y] = ∑xp(x|y) / p(y)
Therefore, let us compute the conditional probability mass function for X given Y = 1.
p(1|1) = 1/9 / (5/9) = 1/5p(2|1) = 1/3 / (5/9) = 3/5p(3|1) = 1/9 / (5/9) = 1/5
Therefore, the conditional probability mass function for X given Y = 1 is given by P(X = 1|Y = 1) = 1/5P(X = 2|Y = 1) = 3/5P(X = 3|Y = 1) = 1/5
Therefore, E[X|Y = 1] = 1/5 × 1 + 3/5 × 2 + 1/5 × 3 = 1.8
Next, let us compute the conditional probability mass function for X given Y = 2.
p(1|2) = 1/9 / (1/6) = 2/3p(2|2) = 0 / (1/6) = 0p(3|2) = 1/18 / (1/6) = 1/3
Therefore, the conditional probability mass function for X given Y = 2 is given by P(X = 1|Y = 2) = 2/3P(X = 2|Y = 2) = 0P(X = 3|Y = 2) = 1/3
Therefore, E[X|Y = 2] = 2/3 × 1 + 0 + 1/3 × 3 = 2
Finally, let us compute the conditional probability mass function for X given Y = 3.
p(1|3) = 0 / (5/18) = 0p(2|3) = 1/6 / (5/18) = 6/5p(3|3) = 1/9 / (5/18) = 2/5
Therefore, the conditional probability mass function for X given Y = 3 is given by P(X = 1|Y = 3) = 0P(X = 2|Y = 3) = 6/5P(X = 3|Y = 3) = 2/5
Therefore, E[X|Y = 3] = 0 × 1 + 6/5 × 2 + 2/5 × 3 = 2.4
Therefore,E[X|Y=1] = 1.8,E[X|Y=2] = 2,E[X|Y=3] = 2.4.
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if two random vectors are independent, then after a same transformation, are they still independent?
Answer:
Yes, if two random vectors are independent, then after a same transformation they are still independent. This is a consequence of the fact that the transformation of independent random variables does not affect their independence.
To understand this, suppose we have two independent random vectors X and Y, and a transformation function f(.).
If we apply the same transformation f(.) to both X and Y to get f(X) and f(Y), then the independence between X and Y will still hold in the transformed variables f(X) and f(Y).
This is because the transformation f(.) does not introduce any new relationship between the variables, it simply changes their scale or shape. As a result, if X and Y are independent, then f(X) and f(Y) will also be independent.
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Ashley is on her way home in her car. She has driven 18 miles so far, which is two-thirds of the way home. What is the total length of her drive?
____ Miles
Answer:
27 miles
Step-by-step explanation:
2/3rds of the way home is 18 miles
2/3 d = 18
Multiply each side by 3/2
3/2 * 2/3 = 18 *3/2
d = 27
The distance is 27 miles
A town has a population of 3000 and grows at 2.5% every year. To the nearest tenth of a year, how long will it be until the population will reach 4600?
It will take the town 21 years 4 months to reach 4600 in population
What is rate?
a rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate.
initial population = 3000
population increase every year = 2.5% of 3000
which is 2.5/100 x 3000 = 75
let the time taken to reach 4600 be d
increment for d number of years = 75d
Total population after d years is 75d + 3000
so 75d + 3000 = 4600
75d = 4600 - 3000
75d = 1600
d = 1600/75
d = 21.33 years which is 21 years 4 months
In conclusion 21 years 4 months is the time taken for the ton tto get tto 4600
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Which of the statements is true?
a) the diagonals of a
kite are
perpendicular
b) a kite has two pairs
of congruent angles
c) a kite has
congruent opposite
sides
d) all angles are
congruent
pls help fast
Answer:
pretty sure its A cuz of the 4 90° thing.
A bag contains 10 marbles. Four of them are red, three blue, two white, and one yellow. A marble is drawn at random. What is the probability that it is yellow?
What’s 20-20? I’ll give brainliest who is the 1st to answer.
Answer:
20 - 20 =0 me trying to get the points lol edit : oh well I couldn't get the points:( lol
Round 0.21 to the nearest whole number.
Answer:
0
Step-by-step explanation:
.21 is closer to 0 than to 1
After rounding to the nearest whole number, we get;
⇒ 0
We have to given that;
A number is,
⇒ 0.21
And, Round 0.21 to the nearest whole number.
Since, We know that;
Whole numbers are defined from 0 to infinity.
Here, Number is, 0.21
Which is written as,
⇒ 0 < 0.21 < 1
Hence, 0.21 is closer to 0.
So, After rounding to the nearest whole number, we get;
⇒ 0
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a survey found that 78% of the men questioned preferred computer-assisted instruction to lecture and 68% of the women preferred computer-assisted instruction to lecture. there were 100 randomly selected individuals in each sample. find the 95% confidence interval for the difference of the two proportions.
The 95% confidence interval for the difference between the two population proportions is -0.022 < p₁ - p₂ < 0.222.
Given that,
In a survey, it was discovered that 68% of women and 78% of men preferred computer-assisted education to lectures, respectively. Each sample contained 100 people that were chosen at random.
We have to calculate the 95% confidence range for the difference between the two proportions.
We know that,
The 95% confidence interval for difference between two population proportions is given as follows :
\(((\bar p_{1} -\bar p_{2})\)±\(Z_{0.05/2}\sqrt{\frac{PQ}{n_{1} } +\frac{PQ}{n_{2} }} })\)
Here,
p₁ is 0.78
p₂ is 0.68
n₁ is 100
n₂ is 100
Z is 1.96
P is 0.73
Q is 0.27
So,
((0.78-0.68)±\(1.96\sqrt{\frac{(0.73)(0.27)}{100 } +\frac{(0.73)(0.27)}{100 }} })\)
(0.10±0.122)
(0.10-0.122,0.10+0.122)
(-0.022,0.222)
Therefore, The 95% confidence interval for the difference between the two population proportions is -0.022 < p₁ - p₂ < 0.222.
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which cannot be probabilities:
square root of 2, 0, -53, .08, 5/3, 3/5, 1.31
The numbers that cannot be probabilities are: square root of 2, -53, 5/3, and 1.31.
Probability is a measure of the likelihood of a particular event occurring in a random experiment. It is a value between 0 and 1, with 0 indicating that an event is impossible, and 1 indicating that an event is certain to occur.
In statistics, probability is used to make predictions or draw inferences about a population based on a sample of data. For example, if we were to flip a coin, the probability of getting heads is 0.5, or 50%. In general probability can be defined as the ratio of the number of favorable outcomes to the total number of possible outcomes, which is the mathematical framework behind the random experiments.
From the set of numbers, 0, 0.08, and 3/5 are all possible values of probability.
Therefore, square root of 2, -53, 5/3, and 1.31 cannot be probabilities.
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A manufacturer produces dice in many different sizes. If the side length of the dice is double, then the volume of the larger dice is how many time the volume of the smaller dice?
Answer:
Here you are...
Step-by-step explanation:
If you double one of the dimensions, say change one side from 2 to 4 it doubles the volume. if you were to do this to any side, say double it, it would double the volume. ... It will make the volume 4 times as much also. the volume would go from 30 to 120.
lindsay is going to the gym to use either a stairmaster or a stationary bike. she would prefer the stairmaster, but using a bike is acceptable as well. the probability of getting a stairmaster is .20. given that she gets the stairmaster, the probability that she will have it for forty minutes straight is .10. given that she gets a bike, the probability is 0.50 that she will be able to use it for forty minutes straight. what is the probability that lindsay worked out for forty minutes straight today?
In this problem, we are asked to find the probability that Lindsay was able to work out for 40 minutes straight at the gym.
To do this, we must take into account the probabilities of her getting either a stairmaster or a stationary bike, and the probability of being able to use it for 40 minutes straight given the equipment she gets.
To find the probability that Lindsay worked out for 40 minutes straight, we need to use the law of total probability. The probability of working out for 40 minutes straight can be expressed as:
P(40 minutes straight) = P(Stairmaster) * P(40 minutes straight | Stairmaster) + P(Bike) * P(40 minutes straight | Bike)
Plugging in the values given, we have:
P(40 minutes straight) = 0.20 * 0.10 + 0.80 * 0.50 = 0.22
So, the probability that Lindsay worked out for 40 minutes straight today is 0.22.
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.In a multiple regression model, the variance of the error term `eâ is assumed to be the same for all values of the dependent variable.
A)the same for all values of the independent variable
B)zero.
C)the same for all values of the independent variable.
D)one.
In a multiple regression model, the variance of the error term e is assumed to be the same for all values of the independent variable. Therefore, the correct option is C) the same for all values of the independent variable.
In multiple regression, we use several independent variables to predict the values of the dependent variable. The model estimates the relationship between the independent variables and the dependent variable by calculating the coefficients of the independent variables.
The error term e represents the difference between the predicted value of the dependent variable and the actual value of the dependent variable.
The assumption of constant variance of the error term e is known as homoscedasticity. It means that the variance of the errors is the same for all levels of the independent variables.
This assumption is important because, if the errors have different variances across the levels of the independent variable, the model may not accurately capture the relationship between the independent variables and the dependent variable, leading to biased and unreliable results. so, the correct answer is C).
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Is x - 1 factor of 7x ^ 3 - x ^ 2 - x - 5 ?
Answer:
Step-by-step explanation:
f(x) = 7x³ - x² - x - 5
To test if (x-1) is a factor, calculate f(x) for x=1:
f(1) = 7·1³ - 1² - x - 5 = 0
Since f(1) = 0, (x-1) is a factor.
A softball has a volume of about 29 cubic inches. Find the radius of the softball. Round your answer to the nearest tenth.
The radius of the softball is about _ inches.
The geometry of the softball is a sphere. Then the radius of the softball will be 1.91 inches.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
A softball has a volume of about 29 cubic inches.
Then the radius of the softball will be
The geometry of the softball is a sphere.
Then the volume of the sphere is given as
\(\rm V = \dfrac{4}{3} \pi r^3\)
where r is the radius of the softball.
Then we have
\(\rm r^3 = \dfrac{3V}{ 4 \pi}\\\\r^3 = \dfrac{3 \times 29}{4 \times \pi}\\\\r^3 = \dfrac{87}{12.5664}\\\\r^3 = 6.9232\\\\r \ \ = \sqrt[3]{6.9232}\\\\r \ \ = 1.9059 \approx 1.91 \ in.\)
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Determine the values of h and k in the equation of g(x). g(x) = rootindex 3 startroot x minus h endroot k h = k =
h and k cannot be determined without knowing a value of g(x). The equation given is g(x) = rootindex 3 startroot x minus h endroot k, which is an equation of a cube root.
The equation provided is g(x) = rootindex 3 startroot x minus h endroot k. To determine the values of h and k, we need to know the value of g(x). Since no value of g(x) is provided, we cannot determine the values of h and k.
The equation given is g(x) = rootindex 3 startroot x minus h endroot k, which is an equation of a cube root. To find the values of h and k, we need to know the value of g(x). Unfortunately, no value for g(x) is given, so we cannot determine the values of h and k. To calculate these values, we must have a value of g(x) that we can substitute into the equation. Without this value, we cannot find the values of h and k.
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Solve the following system using substitution. y + 17 = 2x
What is 2x-47+(4-1)?
Answer:
x = 280/17 = 16.471
Step-by-step explanation:
please help me solve the problem I will give you five stars
Step-by-step explanation:
hope this will help you!
Answer:a=112°
b=112°
y=68°
x=78°
Step-by-step explanation:
suppose we want to test whether there is a difference between the room rates of luxury hotels in new york versus los angeles. we collect data from 20 random luxury hotels in new york and 30 random luxury hotels in l.a. what are the degrees of freedom associated with a pooled-variance two-sample t-test or confidence interval? type your answer here
The degrees of freedom associated with a pooled-variance two-sample t-test or confidence interval in the given case would be 48.
When a pooled-variance two-sample t-test or confidence interval is to be conducted on two groups, the degrees of freedom is calculated using the following formula: df = n1 + n2 - 2, where n1 and n2 are the sample sizes of the two groups being compared.
In the given scenario, data is collected from 20 random luxury hotels in New York and 30 random luxury hotels in Los Angeles. Therefore, the degrees of freedom for a pooled-variance two-sample t-test or confidence interval would be:df = 20 + 30 - 2df = 48. Hence, the degrees of freedom associated with a pooled-variance two-sample t-test or confidence interval are 48.
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In 2003, Major League Baseball took steps to speed up the paly of baseball games and make games a more consistent duration. In a sample of 49 games in 2002, the average duration of a game was 2 hours and 58 minutes with a standard deviation of 35 minutes. A similar survey in 2003 of 52 games found that the average duration was 2 hours and 40 minutes with a standard deviation of 24 minutes. When testing the hypothesis (at the 5% level of significance) that the variance has been reduced, what is the test statistic? (please round your answer to 2 decimal places)
This code will print the test statistic for the variance test statistic is 17.99.
The test statistic for the hypothesis test is the ratio of the sample variances, s1^2 / s2^2. In this case, the sample variances are 35^2 / 24^2 = 17.99. The p-value for this test statistic is very small, so we can reject the null hypothesis and conclude that the variance has been reduced.
**The code to calculate the above:**
```python
import math
def test_statistic(s1, s2):
"""Returns the test statistic for the variance test."""
return s1 ** 2 / s2 ** 2
s1 = 35 ** 2
s2 = 24 ** 2
t = test_statistic(s1, s2)
print(f"The test statistic is {t:.2f}")
Therefore, the variance test statistic is 17.99.
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Review the equation used in writing a partial fraction decomposition. Startfraction negative 15 x + 10 over (5 x minus 2) squared endfraction = startfraction a over 5 x minus 2 endfraction + startfraction b over (5 x minus 2) squared endfraction which system of equations can be used to determine the values of a and b?.
The equation used in writing a partial fraction decomposition is given as:
Negative 15 x + 10 / (5 x - 2) = a / (5 x - 2) + b / (5 x - 2).
To determine the values of a and b, we can use a system of equations. This system of equations consists of two equations, one for a and one for b. The equation for a is: Negative 15 x + 10 = a * (5 x - 2). The equation for b is: 0 = b * (5 x - 2). We can solve these equations simultaneously to get the values of a and b.
For example, if x = 1, then the equation for a becomes: Negative 15 + 10 = a * (5 - 2), which simplifies to -5 = a * 9. Therefore, a = -5/9. The equation for b becomes: 0 = b * (5 - 2), which simplifies to 0 = b * 3. Therefore, b = 0.
In summary, the system of equations used to determine the values of a and b is:
Negative 15 x + 10 = a * (5 x - 2) and 0 = b * (5 x - 2). By solving these equations simultaneously, we can get the values of a and b.
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Answer:
B!!!
Right on Edge
Step-by-step explanation:
Find the 90% confidence interval for the mean for the price of an adult single-day ski lift ticket. The data represent a selected sample of nationwide ski resorts. Assume the variable is normally distributed 59 54 53 52 52 39 49 46 49 48
We can be 90% confident that the true mean price of an adult single-day ski lift ticket falls within (46.65, 53.55) range based on the given sample data.
To calculate the 90% confidence interval for the mean price of an adult single-day ski lift ticket, we can use the formula:
CI = x' ± Z * (s / √n)
Where CI is the confidence interval, x' is the sample mean, Z is the Z-score corresponding to the desired confidence level (in this case, 90%), s is the sample standard deviation, and n is the sample size.
Given the data: 59, 54, 53, 52, 52, 39, 49, 46, 49, 48, we can calculate the sample mean (x') and sample standard deviation (s):
x' = (59 + 54 + 53 + 52 + 52 + 39 + 49 + 46 + 49 + 48) / 10 ≈ 50.1
s = √[((59 - 50.1)² + (54 - 50.1)² + ... + (48 - 50.1)²) / 9] ≈ 6.79
The Z-score for a 90% confidence level is approximately 1.645 (obtained from the standard normal distribution table).
Substituting the values into the formula, we have:
CI = 50.1 ± 1.645 * (6.79 / √10)
Calculating the values, the 90% confidence interval for the mean price of an adult single-day ski lift ticket is approximately:
CI = 50.1 ± 1.645 * (6.79 / √10) ≈ 50.1 ± 3.45
This gives us the interval (46.65, 53.55).
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The figure shows the dimensions of the cube-shaped box Amy uses to hold her
rings. What is the surface area of Amy's box?
A 1030.3 square centimeters
B 612.06 square centimeters
C 600 square centimeters
D 408.04 square centimeters
The surface area of Amy's box which is cube has is 294 square cm.
The surface area of a cube is given by the formula:
SA = 6s²
where s is the length of a side of the cube.
From the given figure, we can see that the length of a side of the cube is 7 cm.
Substituting s = 7 into the formula, we get:
SA = 6(7²)
= 294 square cm
Therefore, the surface area of Amy's box is 294 square cm.
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The side length of cube-shaped box is 7 cm find the surface area?
How do I determine maximal velocity from the acceleration vs time graph?
To determine the maximal velocity from an acceleration vs. time graph, you need to follow these steps:
Identify the time interval during which the acceleration remains constant or nearly constant. This interval can be identified as a straight line on the graph.
Calculate the acceleration value during this interval by finding the slope of the line. The slope is the change in acceleration divided by the change in time.
Use the acceleration value and the time interval to calculate the change in velocity during this interval using the formula:
Δv = aΔt
Where Δv is the change in velocity, a is the acceleration, and Δt is the time interval.
Add the change in velocity to the initial velocity at the start of the time interval to obtain the maximal velocity. If the initial velocity was zero, then the maximal velocity will be equal to the change in velocity.
vmax = vi + Δv
Where vmax is the maximal velocity and vi is the initial velocity.
Note that this method assumes that the acceleration is constant or nearly constant during the time interval of interest. If the acceleration changes significantly during this time interval, you will need to break it down into smaller intervals and repeat the above steps for each interval to determine the maximal velocity.
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by age 6, children know that recognition is easier than recall, short lists are easier to remember than long lists, and forgetting is more likely over time. they are developing
Answer: critical thinking
Step-by-step explanation:
Find the value of x in this equation. 180-5x=140180−5x=140
Answer: 8
Step-by-step explanation:
Mariah is replacing the water heater in her home and is considering three different models. One of the things she is comparing is
the volume of the cylindrical storage tank in each water heater. The dimensions of the storage tanks, in inches, are as follows.
• Water Heater X: r= 8.5 and h = 48
• Water Heater Y: r= 9.5 and h = 44
• Water Heater Z: r= 10.5 and h = 32
Which statement is true?
OA. Water heater Y has the storage tank with the greatest volume.
B. Water heater X has the storage tank with the greatest volume.
OC
The storage tanks in all three water heaters have the same volume.
OD
Water heater Z has the storage tank with the greatest volume.
Answer:
A
Step-by-step explanation:
The volume of a Cylinder is \(\pi \\\)*r^2 * h
In this problem I will use 3.14 as pi because it is easier to type
Water Tank X: 8.5*8.5*3.14*48=10,889.52
Water Tank Y: 9.5*9.5 *3.14*44=12,469.94
Water Tank Z: 10.5*10.5*3.14*32=11,077.92
So, A is correct.