we are interested in testing whether the variance of a population is significantly more than 484. what is the null hypothesis for this test? h0 : 2 ≥ 484 h0 : 2 > 484 h0 : 2 ≤ 22 h0 : 2 ≤ 484

Answer: D

x = 12sn(60)

x = 12 * 3/2 squared

x = 6 squared 3

The Mean of both the company is 2 while the variance of companies A and B is 0.6 and 1.6 respectively.

Here we have the probability distribution of both companies A and B

a)

We need to find the mean and variance of the companies.

Mean = E(X) = ∑xp(x)

Variance = E(X - Mean)²

Hence the mean of Company A will be

= [1 X 0.3] + [2 X 0.4] + [3 X 0.3]

= 0.3 + 0.8 + 0.9

= 2

Now Variance will be

0.3[1 - 2]² + 0.4[ 2 - 2]² + 0.3[3 - 2]²

= 0.3[1] + 0.4[0] + 0.3[1]

= 0.3 + 0.3

= 0.6

Now for Company B, we get mean to be

[0 X 0.2] + [1 X 0.1] + [2 X 0.3] + [3 X 0.3] + [4 X 0.1]

= 0 + 0.1 + + 0.6 + 0.9 + 0.4

= 2

The variance of Company B will be

0.2[0 - 2]² + 0.1[1 - 2]² + 0.3[2 - 2]² + 0.3[3 - 2]² + 0.1[4 - 2]²

= 0.2[4] + 0.1[1] + 0.3[0] + 0.3[1] + 0.1[4]

= 0.8 + 0.1 + 0 + 0.3 + 0.4

= 1.6

b)

Here we see that the value of the variance of company B is greater than A

Hence proved.

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Complete Question

Let the random variable X represent the number of automobiles that are used for official business purposes on any given workday. The probability distribution for company A

x         1         2         3

f(x)    0.3     0.4      0.3

and for company B

x         0         1         2         3         4

f(x)    0.2       0.1     0.3      0.3      0.1

a) Find the mean and variance of companies A and B

b) Show that the variance of the probability distribution of company B is greater than A

Answer:

-1×(1)×2+3=1 This is the answer I think

Answer:

6x-15= 4x-33

6x- 4x = -33+15

2x=  -18

x= -9

Answer:

24

Step-by-step explanation:

Let's remove the brackets first

6x-15=4x+33

let's get rid of one sides x

2x-15=33

let's add 15 to get the -15 away

(anything u fo to one side you have to do to the other)

2x=48

divide by 2 to

x=24

Answer:

50,75 per person for both tickets

Answer:graph b

Step-by-step explanation:

The correct answer include the following: A) The given value is a parameter for the week because the data collected represent a population.

In Statistics and Mathematics, a population can be defined as a set of similar items or events that comprises every member of a group and from which a researcher, scientist, or experimenter, obtains or generates data for a statistical study.

In this context, we can reasonably infer and logically deduce that the amount of voltage that was supplied to this homeowner's home represent a parameter for the week since the data collected represents a population.

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Complete Question:

A homeowner measured the voltage supplied to his home on all 7 days of a given week​, and the average​ (mean) value is 120.6 volts.

Choose the correct answer below.

A) The given value is a parameter for the week because the data collected represent a population.

B) The given value is a statistic for the week because the data collected represent a sample

C) The given value is a statistic for the week because the data collected represent a population.

D)The given value is a parameter for the week because the data collected represent a sample.

a) The amount of water in the pool after 2 hours can be calculated using the equation.

Water in pool = 10L/hour × 2 hours = 20L.

b) The pool will be 80L when the equation is satisfied: 80L = 10L/hour × Time.

Solving for Time, we find Time = 8 hours.

c) Part b) is linear.

a) To calculate the amount of water in the pool after 2 hours, we can use the equation:

Water in pool = Water filling rate × Time

Since the pool gets filled up with 10L of water per hour, we can substitute the values:

Water in pool = 10 L/hour × 2 hours = 20L

Therefore, after 2 hours, there will be 20 liters of water in the pool.

b) To determine the number of hours it takes for the pool to reach 80 liters, we can set up the equation:

Water in pool = Water filling rate × Time

We want the water in the pool to be 80 liters, so the equation becomes:

80L = 10 L/hour × Time

Dividing both sides by 10 L/hour, we get:

Time = 80L / 10 L/hour = 8 hours

Therefore, it will take 8 hours for the pool to contain 80 liters of water.

c) Part b) is linear.

The equation Water in pool = Water filling rate × Time represents a linear relationship because the amount of water in the pool increases linearly with respect to time.

Each hour, the pool fills up with a constant rate of 10 liters, leading to a proportional increase in the total volume of water in the pool.

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The F-ratio in the analysis of variance (ANOVA) is a ratio of effect and error variances.

ANOVA is a statistical technique used to test the differences between two or more groups' means by comparing the variance between the group means to the variance within the groups.

F-ratio is a statistical measure used to compare two variances and is defined as the ratio of the variance between groups and the variance within groups

The formula for calculating the F-ratio in ANOVA is:F = variance between groups / variance within groupsThe F-ratio is used to test the null hypothesis that there is no difference between the group means.

If the calculated F-ratio is greater than the critical value, the null hypothesis is rejected, and it is concluded that there is a significant difference between the group means.

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Yes, the equation y = 5x represents a proportional relationship

Two or more expressions with an Equal sign is called as Equation.

The given equation is y=5x.

In a proportional relationship, the ratio of y to x is constant.

In the given equation the variable x and y has a proportional relationship.

The equation is in the form of y=mx+b

the ratio of y to x is 5, meaning that for every unit increase in x, y increases by 5 units.

Hence,  Yes, the equation y = 5x represents a proportional relationship

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Answer:

So basically its whatever number you have is always going o be positive .

Step-by-step explanation:

Answer:

60 number keys would need to be produced

Step-by-step explanation:

5 : 13

? : 156

156 / 13 = 12

5 x 12 = 60

Answer: It is 360°

Explanation:

For any polygon the sum of the exterior angles is always 360°

Answer:

The limit does not exist

Step-by-step explanation

For this question you have to look at the function and see what y value does it approach as it gets closer and closer to x =2, from the left side it looks like it approaces 4 and from the left side it looks like it's approaching 1, since the limits from the left and right sides are not the same, the limit does not exist

To calculate the future value we need to use the compound formula:

where P is the principal, r is the interest rate in decimal form, n is the number of times the interest is compound in any given time t.

In this case we have that P=901, r=0.035 and since the interest is compound semiannually this means that n=2. Finally t=6. Plugging this values into the equation above we have that:

Therefore the future value would be $1109.53

The given equation, y = -1.7x + 8.5, is not in standard form with integer coefficients. The standard form of a linear equation is Ax + By = C, where A, B, and C are integers and A is positive.

To convert the given equation to standard form, we need to eliminate the decimal coefficient. We can do this by multiplying both sides of the equation by 10 to clear the decimal: 10y = -17x + 85 Next, we want the coefficient of x to be positive, so we can multiply both sides of the equation by -1: -10y = 17x - 85

Now, we can rearrange the terms to match the standard form: 17x - 10y = 85 So, the equation of the given line in standard form with integer coefficients is 17x - 10y = 85. To convert the given equation to standard form, we need to eliminate the decimal coefficient.

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Answer:

1.35kg

Step-by-step explanation:

450g : 6 people

x : 18 people

To get from 6 to 18, multiply by 3 so do the same to the other side

450 × 3 = 1350g

To convert from g to kg divide by 1000

1350 ÷ 1000 = 1.35kg

Answer:

ok

Step-by-step explanation:

Answer:

y=-1/2x-1

Step-by-step explanation:

Here is an example of an answer using Hooke's law to determine the work done by a variable force in a spring problem: A force of 250 newtons stretches a spring 30 centimeters. How much work is done in stretching the spring from 10 centimeters to 40 centimeters?

The formula for Hooke's law is

F = kx

where, F is the force applied, x is the extension or compression of the spring from its equilibrium position, and k is the spring constant.

To determine the spring constant, we can rearrange the formula as follows:

k = F/x

We know that a force of 250 newtons stretches a spring 30 centimeters, so the spring constant is:

k = 250/30

  = 8.33 N/cm

To calculate the work done in stretching the spring from 10 centimeters to 40 centimeters, we can use the formula for work done by a variable force, which is given by the following formula:

W = 1/2k(x2^2 - x1^2)

where, W is the work done, k is the spring constant, x1 is the initial extension or compression of the spring, and x2 is the final extension or compression of the spring. In this case, x1 = 10 cm and x2 = 40 cm.

Therefore, the work done in stretching the spring from 10 centimeters to 40 centimeters is:

W = 1/2(8.33)(40^2 - 10^2)W  

   = 1/2(8.33)(1500)W

   = 6247.5 N-cm

Therefore, the work done in stretching the spring from 10 centimeters to 40 centimeters is 6247.5 N-cm.

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A. 0.07

Explaination:

if you were to say these are money.

0.59 would be 59 cents. 0.07 would be 7 cents.

59 is greater then 7 cents. so A is your answer

Answer:

0.07,0.4,.55 are all less than.59

Step-by-step explanation:

0.6 stands for 0.60 so it is the only one that is more than .59.

The value of the given linear equation becomes Z = 10 -Y.

According to the statement

we have to find that the value of the Z by compare it with the given equation.

So, For this purpose,we know that the

Linear equations are the equations of degree 1. It is the equation for the straight line.

From the given information:

Z = -X +2Y subject to -x+3y < or equal to 10.

take

Z = -X +2Y and the -x+3y = 10

put -x = 10-3y

Z = -X +2Y

Z = 10-3y +2Y

Z = 10 -Y

Here the value of the equation become Z = 10 -Y.

So, The value of the given linear equation becomes Z = 10 -Y.

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Step-by-step explanation:

A'B' = 5

B'C' = 6

A'C'= 2

in translation, the length of sides do not change

The 98% confidence interval for the population standard deviation σ:

(12.68, 26.66).

To construct a 98% confidence interval for the population standard deviation σ, we can use the chi-square distribution.

The formula for the confidence interval is:

((n-1)s^2)/χ^2(α/2, n-1) ≤ σ^2 ≤ ((n-1)s^2)/χ^2(1-α/2, n-1)

where s is the sample standard deviation, n is the sample size, and χ^2(α/2, n-1) and χ^2(1-α/2, n-1) are the chi-square values for the given level of significance and degrees of freedom.

With n = 19 and s = 9.4, we have:

χ^2(0.01/2, 18) = 36.191 and χ^2(1-0.01/2, 18) = 7.962

Substituting these values into the formula, we get:

((19-1)(9.4)^2)/36.191 ≤ σ^2 ≤ ((19-1)(9.4)^2)/7.962

Simplifying:

160.866 ≤ σ^2 ≤ 711.901

Taking the square root of both sides, we get:

12.68 ≤ σ ≤ 26.66

Therefore, the 98% confidence interval for the population standard deviation σ is (12.68, 26.66).

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Step-by-step explanation:

x² - 9

1. There is no common factor other than 1.

2. √x² = x; √9 = 3

3. a = x; b = 3

4. x² - 9 = (x - 3)(x + 3)

Answer: 63

Step-by-step explanation:

180-117=63

Answer:

63

Step-by-step explanation:

Pretty simple really.

A straight line is 180...

180-117=63

Answer 63

TADAAA!!!