Two samples of sizes 25 and 35 are independently drawn from two normal populations has standard deviation of 0.9 and 0.8 respectively. Determine the variance sampling distribution for difference of two means.
A. 0.25
B. 0.51
C. 0.30
D. 0.051

Regardless of the shape of the population, the sampling distribution of the mean approaches a normal distribution as sample size increases
A. False
B. True

Step-by-step explanation:

please forgive me if I have done something wrong there I am in a hurry I have to go ccooking. if there's something wrong there you can tell me I check it out when I come back good luck.

Answer:

1. 4310.3

2.1809.6

3. 2414.7

4. 230.9

5. 767.8

6. 70.3

7.1143.4

8.125.7

9. 1382.0

10. 158.5

Step-by-step explanation:

Answer:

c.126

Step-by-step explanation:

180-54=126

The probability that the average of 35 randomly selected numbers will be more than 7.77 is approximately 0.2157.

a. The distribution of X is uniform, meaning each number from 4 to 11 has an equal probability of being selected. The probability of selecting any specific number is 1/8 since there are 8 numbers in the range.

b. If the computer randomly picks 35 numbers, the distribution of the selection can be approximated by a normal distribution. This is known as the Central Limit Theorem. The mean of the distribution will still be the same as in part a, which is (4 + 11) / 2 = 7.5. The standard deviation of the distribution can be calculated using the formula:

Standard deviation = (b - a) / √(12)

where a and b are the lower and upper bounds of the range, respectively. In this case, a = 4 and b = 11.

Standard deviation = (11 - 4) / √(12) ≈ 1.6794

Therefore, the distribution of the selection of 35 numbers can be approximated by a normal distribution with a mean of 7.5 and a standard deviation of 1.6794.

c. To find the probability that the average of 35 numbers will be more than 7.77, we need to calculate the z-score and then use the standard normal distribution table.

z-score = (7.77 - 7.5) / (1.6794 / √35) ≈ 0.7832

Using the standard normal distribution table or a calculator, we can find the probability associated with the z-score of 0.7832. Let's assume it is P(Z > 0.7832).

The probability that the average of 35 numbers will be more than 7.77 can be calculated as:

P(Z > 0.7832) = 1 - P(Z < 0.7832)

Referencing the standard normal distribution table or using a calculator, we find the probability to be approximately 0.2157.

Therefore, the probability that the average of 35 numbers will be more than 7.77 is approximately 0.2157 (rounded to 4 decimal places).

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Answer:

-10/7

Step-by-step explanation:

Use slope formula

[tex]\frac{y2-y1} {x2-x1}[/tex]

x1= -3

y1 = 5

x2 = 4

y2 = -5

[tex]\frac{-5-5}{4--3}[/tex]

[tex]\frac{-10}{7}[/tex]

The 90% confidence interval for the mean number of calories is 155.3 to 158.4

From the question, we have the following parameters that can be used in our computation:

The dataset

The mean is calculated as

x = sum/count

So, we have

x = (186 + 181 + 176 + 149 + 184 + 190 + 158 + 139 + 175 + 148 + 152 + 111 + 141 + 153 + 190 + 157 + 131 + 149 + 135 + 132) / 20

x = 156.85

Calculate the margin of error using

E = t * σ/√n

Where t = 1.729 i.e. the critical value

So, we have

E = 1.729 * 4/√20

Evaluate

E = 1.55

The confidence interval is then calculated as

CI = x ± E

So, we have

CI = 156.85 ± 1.55

Evaluate

CI = 155.3 to 158.4

Hence, the 90% confidence interval for the mean number of calories is 155.3 to 158.4

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Answer:

a) slope is 7

b) slope is positive, so Increasing

c) y-intercept is -3

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Which is true about the solution to the system of inequalities shown?

y > 3x + 1

y < 3x – 3

On a coordinate plane, 2 solid straight lines are shown. The first line has a positive slope and goes through (negative 2, negative 5) and (0, 1). Everything to the left of the line is shaded. The second line has a positive slope and goes through (0, negative 3) and (1, 0). Everything to the right of the line is shaded.

Only values that satisfy y > 3x + 1 are solutions.

Only values that satisfy y < 3x – 3 are solutions.

Values that satisfy either y > 3x + 1 or y < 3x – 3  are solutions.

There are no solutions.                                                               Edge 2022

Answer: yeah you got it

Step-by-step explanation:

Answer:

IQR=13 im pretty sure

Step-by-step explanation:

The measure interquartile range is 13 option (B) IQR= 13 is correct.

A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.

We have a box plot, and the data from a survey of ages of people taking an exercise class was skewed to the left.

We know on the left side skewed has more data on the right and on the left side, there are fewer data.

From the dot plot, the end point is not given, so we are assuming the end point is 58.

IQR = 58 - 45 = 13

Thus, the measure interquartile range is 13 option (B) IQR= 13 is correct.

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By using the property of CPCTC (corresponding parts of congruent triangles are congruent) he can prove ∠DEF ≅ ∠ABC.

Which statement best explains why Ben uses the width BI to create the arc JK from point E?

A.  ∠DEF ≅ ∠ABC when BH = EK, BI = JK, and HI = EJ.

B.  BI = JK when ∠DEF ≅ ∠ABC.

C.  BI = EJ when ∠DEF ≅ ∠ABC.

D.  ∠DEF ≅ ∠ABC when BH = EJ, BI = EK, and HI = JK.

The statement Ben explains why Ben uses the width BI to create the arc JK from point E is  ∠DEF ≅ ∠ABC when BH = EJ, BI = EK, and HI = JK.

The correct option is (D).

Ben ensuring that for making an arc JK,

BH = EJ

BI = EK

HI = JK

These are the three congruent corresponding sides for making an arc.

then, he will use the congruence criteria to ΔDEF ≅ ΔABC.

By using the property of CPCTC (corresponding parts of congruent triangles are congruent) he can prove ∠DEF ≅ ∠ABC.

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Which statement best explains why Ben uses the width BI to create the arc JK from point E.

Answer: 35.7%

Step-by-step explanation:

First find out the total number of all coupons in the box.

= 75 + 125 + 150

= 350 drink coupons

There are 125 medium coupons so the probability that the first customer will pick a medium one is:

= Number of medium coupons / Number of total coupons

= 125 / 350

= 35.7%

The values p = 3 and q = -7 would make the expression (3 – 7i)(p + qi)i equal to 58i.

Let's expand the expression:

(3 - 7i)(p + qi)i = (3 - 7i)(pi - q)

Using the distributive property, we have:

= 3pi - 7pi^2 - 3qi + 7qi^2

Since i^2 is equal to -1, we can substitute -1 for i^2:

= 3pi - 7p - 3qi - 7q

Now, equating the imaginary part to 58i:

-7p - 7q = 58

Dividing both sides by -7:

p + q = -8

From the given options, only p = 3 and q = -7 satisfy this equation:

3 + (-7) = -4

Therefore, the values p = 3 and q = -7 would make the expression (3 – 7i)(p + qi)i equal to 58i.

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Answer:

d: 83

e: 97

f: 83

Step-by-step explanation:

d: We first have to find out f, so f and d can be alternate interior angles, which means they can be congruent to each other.

e: e is a vertical angle to the given angle, which means they are congruent, making it also 97 degrees.

f: f is a supplementary angle to the given angle, which means we can subtract 97 from 180 to give us 83.

Going back to angle d, now that we know f is 83 degrees, then d is an alternate interior angle, so d=f, meaning d is also 83 degrees.

Hope this helps! :)

Answer:

Closing costs are fees paid at the closing of a real estate transaction. Typically home owners will pay between 2 to 5 percent of the purchase price of their home in closing fees. So, if your home cost $150,000, you might pay between $3,000-$7,000 in closing costs.

30 fl oz for $3.55

if we make them each 10 fl oz then here are the costs:

$1.18 (originally 30 fl oz)

$1.20 (originally 50 fl oz)

Answer:

7

Step-by-step explanation:

Answer: 7

Because 9-2=7

Answer:

1.

centre(h,k)=(-13,9)

radius (r)=6

we have

equation of the circle is

(x-h)²+(y-k)²=r²

(x+13)²+(y-9)²=6²

x²+26x+169+y²-18y+81=36

x²+y²+26x-18y+169+81-36=0

x²+y²+26x-18y +214=0

is a required equation of the circle.

2.

centre(h,k)=(1,-1)

radius (r)=11

we have

equation of the circle is

(x-h)²+(y-k)²=r²

(x-1)²+(y+1)²=11²

x²-2x+1+y²+2y+1=121

x²+y²-2x+2y=121-2

x²+y²-2x+2y=119

is a required equation of the circle.

Someone earning $47,000 a year will pay a total of $4,911.50 towards social security out of their gross wages.

Employee Contribution:

The employee paid 4.15% of their gross wages towards social security. So, to calculate the employee's contribution:

Employee Contribution = (4.15/100) * Gross Wages

For someone earning $47,000 a year:

Employee Contribution = (4.15/100) * $47,000

                           = (0.0415) * $47,000

                           = $1,950.50

The employee will pay $1,950.50 towards social security.

Employer Contribution:

The employer paid 6.3% of the employee's gross wages towards social security. So, to calculate the employer's contribution:

Employer Contribution = (6.3/100) * Gross Wages

For someone earning $47,000 a year:

Employer Contribution = (6.3/100) * $47,000

                           = (0.063) * $47,000

                           = $2,961.00

The employer will pay $2,961.00 towards social security.

Total Social Security Contribution:

To find the total social security contribution, we add the employee and employer contributions:

Total Contribution = Employee Contribution + Employer Contribution

Total Contribution = $1,950.50 + $2,961.00

                         = $4,911.50

Therefore, someone earning $47,000 a year will pay a total of $4,911.50 towards social security out of their gross wages.

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The point on the line that passes through point H and is perpendicular to line FG is (–6, 10).

First, we need to find the slope of line FG. The slope of a line can be calculated by dividing the change in the y-coordinate by the change in the x-coordinate. In this case, the change in the y-coordinate is 10 and the change in the x-coordinate is 3, so the slope of line FG is 10/3.

Since the lines are perpendicular, their slopes are negative reciprocals of each other. The negative reciprocal of 10/3 is -3/10.

Now, we need to find the equation of the line that passes through point H and has a slope of -3/10. The general equation of a line is y = mx + b, where m is the slope and b is the y-intercept. In this case, we know that m = -3/10 and the y-coordinate of point H is 10. Plugging these values into the equation, we get y = -3/10*x + 10.

To find the x-coordinate of the point we are looking for, we can substitute in the y-coordinate of point H. 10 = -3/10*x + 10, so x = –6.

Therefore, the point on the line that passes through point H and is perpendicular to line FG is (–6, 10).

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The weight of each bag of the mixture can be determined by using a tape diagram. Given that Linda mixed 5.15 lb of cashews with 4.32 lb of pistachios, and after filling up 6 bags that were the same size with the mixture, he had 0.05 lb of nuts left.

A tape diagram is a bar model that is used to represent fractions and ratios visually. It is useful when comparing different quantities that are related to each other.Tape DiagramTo solve the problem using a tape diagram, we begin by representing the total weight of the mixture and the weight of each bag using a single length unit. For example, we can choose 1 inch to represent the weight of 1 pound.

In this case, we would represent the total weight of the mixture as 5.15 + 4.32 = 9.47 inches. Next, we divide the total length by the number of bags to find the length of each bag. If the total length of the mixture is 9.47 inches and there are 6 bags, then the length of each bag is:9.47 ÷ 6 = 1.578 inches. Finally, we convert the length of each bag back to pounds by multiplying by the weight of 1 pound, which is 1 inch in our tape diagram. Thus, the weight of each bag is:1.578 × 1 = 1.578 lb. Therefore, the weight of each bag of the mixture is 1.578 lb.

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Similar to the univariate t-test, the bivariate t-test has all of the mentioned characteristics, so, E. All of the above.

The univariate and bivariate t-tests are different in the fact that while one measures only one variable, the other measures two variables.

The similarities between these tests include the fact that they both require ratio or interval data, they are both drawn from populations with normal distributions and they are useful for analyzing large sample sizes. Also, the two tests ate useful when the population's standard deviation is known.

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The Z-score for an athlete with a time of 9 seconds is -0.5. Approximately 30.85% of the team was below the athlete, and approximately 69.15% of the team was above the athlete based on the Z-score.

To create the 1-2-3 curve, we can use the mean (µ) and standard deviation (σ) to mark the values on the curve. The 1-2-3 curve represents the standard deviations away from the mean.

1-2-3 Curve:

1st Standard Deviation: Mean ± σ

2nd Standard Deviation: Mean ± 2σ

3rd Standard Deviation: Mean ± 3σ

We have that the mean (µ) is 10 seconds and the standard deviation (σ) is 2 seconds, we can mark the 1-2-3 curve as follows:

1st Standard Deviation: 8 to 12 seconds

2nd Standard Deviation: 6 to 14 seconds

3rd Standard Deviation: 4 to 16 seconds

If an athlete has a time of 9 seconds (x), we can calculate their Z-score using the formula: Z = (x - µ) / σ.

Z-score: (9 - 10) / 2 = -0.5

Placing the Z-score of -0.5 on the curve, we find that it falls between the mean and the first standard deviation (8 to 12 seconds).

To determine the percentage of the team below the athlete and above the athlete, we can use the Z-table. Looking up the Z-score of -0.5 in the table, we find that the area below the Z-score is 0.3085. This means that approximately 30.85% of the team's times were below the athlete's time of 9 seconds.

To compute the area above the Z-score, we subtract the area below from 1: 1 - 0.3085 = 0.6915. This indicates that approximately 69.15% of the team's times were above the athlete's time of 9 seconds.

Therefore, approximately 30.85% of the team was below the athlete, and approximately 69.15% of the team was above the athlete based on the Z-score of -0.5.

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Answer:

2 of the 3 answers in picture

Step-by-step explanation:

Answer:

The answers are 2, 3, and 1 only

Step-by-step explanation:

This is the correct answer for plato users

Answer: no

Step-by-step explanation:

plug in (3,10) to y=2x+3

10=2(3)+3

10=6+3

10[tex]\neq[/tex]9

Answer:

It's the one right under the first one

Answer:

0.029g

Step-by-step explanation:

Answer:

35%

Step-by-step explanation:

100% - 35% = 65%

Janice spends 35% swimming

And spends 65% jogging

Answer:

2 2/5=5/5+5/5+2/5=12/5

3 3/4= [(3•4)+3]/4=15/4

(12/5) / (15/4)= 12/5 • 4/15=12•4/5•15=

48/75 kilometers in 1 minute

Step-by-step explanation:

How that this helps! :)

Have a great rest of your day/night!

Answer:

no solution

Step-by-step explanation:

Answer:

x = 2, y = - 25

Step-by-step explanation:

(1)

note that 36 = 6² , then

[tex]6^{x}[/tex] = 6²

Since bases on both sides are equal then equate the exponents

x = 2

------------------------------------------

(2)

Using the rule of exponents

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]

note that 25 = 5² , then

[tex]25^{11+3y}[/tex] = [tex](5^2)^{11+3y}[/tex] = [tex]5^{22+6y}[/tex]

Then

[tex]5^{5y-3}[/tex] = [tex]5^{22+6y}[/tex]

Since bases on both sides are equal then equate the exponents

22 + 6y = 5y - 3 ( subtract 5y from both sides )

22 + y = - 3 ( subtract 22 from both sides )

y = - 25