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ikadub [295]
3 years ago
9

a. A simple random sample of size 80 has a mean of 7.31. The population standard deviation is 6.26. Construct a 99% confidence i

nterval for the population mean
Mathematics
1 answer:
Sever21 [200]3 years ago
5 0

Answer:

5.503484≤x≤9.116516

Step-by-step explanation:

The formula for calculating the CI is expressed as;

CI = x±z*s/√n

x is the mean= 7.31

z is the 99% z-score = 2.58

s is the standard deviation = 6.26

n is the sample size = 80

Substitute into the formula

CI = 7.31± 2.58*6.26/√80

CI = 7.31± 2.58*6.26/8.94

CI = 7.31± (2.58*0.7002)

CI = 7.31±1.806516

CI = (7.31-1.806516, 7.31+1.806516)

CI = (5.503484, 9.116516)

Hence the 99% confidence interval for the population mean is

5.503484≤x≤9.116516

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Look at the figure. How can you prove ∆ABD and ∆ACD are congruent?
Levart [38]

Answer:

Options (C)

Step-by-step explanation:

For the congruence of the triangles ΔADB and ΔADC,

                Statements                             Reasons

1). AB ≅ AC                                   1). Given

2). AD ≅ AD                                 2). Reflexive property

3). ∠BAD ≅ ∠CAD                       3). Given

4). ΔABD ≅ ΔCAD                       4). SAS postulate

Therefore, Options (C) will be the correct option.

7 0
3 years ago
Given the following functions, evaluate each of the following:
Olegator [25]

Answer:

1. -6

Step-by-step explanation:

f(x)=x²-9

g(x)= x-3

1. (f+g)(2) =

(2²-9)+(2-3) = (4-9)+(2-3) = (-5)+(-1)= -6

8 0
2 years ago
A kitchen measures 3.75 meters by 4.2 meters.
dalvyx [7]

Answer:

a. A_{(kitchen)}=15.75\ m^2

b. A_{(total)}=39.375\ m^2

Step-by-step explanation:

The formula for calculate the area of a rectangle is:

A=lw

Where "l" is the lenght and "w" is the width

a. We know that the kitchen measures 3.75 meters by 4.2 meters; then we can say that:

l=3.75\ m\\\\w=4.2\ m

Therefore, substituting these values into the formula, we get that the area of the kitchen is:

A_{(kitchen)}=(3.75\ m)(4.2\ m)=15.75\ m^2

b. The area of the living room is one and a half times (1.5 times) that of the kitchen, this is:

A_{(living)}=(1.5)(15.75\ m)=23.625\ m^2

Therefore, the total of the living room and the kitchen is:

A_{(total)}=15.75\ m^2+23.625\ m^2=39.375\ m^2

3 0
3 years ago
Which term can be used in the blank of 36x3−22x2−__ so the greatest common factor of the resulting polynomial is 2x? Select two
maria [59]

Answer:

4xy and 12x

Step-by-step explanation:

In this question, we are to select which of the options to put into the blank space that will make the greatest common factor of the polynomial 2x. We are to select two options

Now, looking at the blank space, we should understand that , any answer we shall be choosing shall be an answer that contains x alongside the number.

This makes 24 and 44y out of the way.

Now let’s look at 4xy and 12x. Let’s insert them into the blank space;

36x^3-22x^2 - 4xy which gives : 2x(18x^2-11x-2y)

and 36x^3-22x^2-12x = 2x(18x^2-11x-6)

The reason why we will not use 44y and 24 is because 2x is not a factor of either.

3 0
3 years ago
Read 2 more answers
Kaylee drove her scooter at an average speed of 15 miles per hour. Sophia drove her scooter at an average speed of 10 miles per
maksim [4K]

Answer:

Kaylee drove her scooter for 2h and Sophia drove her scooter for 3h.

Step-by-step explanation:

From the graph shown below, we can see that the intersection point is (2,3). When using the graphing method to solve a system of equations, the intersection point is the answer. In this case, x = 2 and y = 3.

Thus, Kaylee drove her scooter for 2h and Sophia drove her scooter for 3h.

5 0
3 years ago
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