The GCF of 24 and 40 is ______

Suppose that at a state college, a random sample of 41 students is drawn, and each of the 41 students in the sample is asked to

ra1l [238]

Answer:

The confidence interval for 90% confidence would be narrower than the 95% confidence

Step-by-step explanation:

From the question we are told that

The sample size is n = 41

For a 95% confidence the level of significance is $\alpha = [100 - 95]\% = 0.05$ and

the critical value of $\frac{\alpha }{2}$ is $Z_{\frac{\alpha }{2} } =Z_{\frac{0.05 }{2} }= 1.96$

For a 90% confidence the level of significance is $\alpha = [100 - 90]\% = 0.10$ and

the critical value of $\frac{\alpha }{2}$ is $Z_{\frac{\alpha }{2} } =Z_{\frac{0.10 }{2} }= 1.645$

So we see with decreasing confidence level the critical value decrease

Now the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{s}{\sqrt{n} }$

given that other values are constant and only $Z_{\frac{\alpha }{2} }$ is varying we have that

$E\ \ \alpha \ \ Z_{\frac{\alpha }{2} }$

Hence for reducing confidence level the margin of error will be reducing

The confidence interval is mathematically represented as

$\= x - E < \mu < \= x + E$

Now looking at the above formula and information that we have deduced so far we can infer that as the confidence level reduces , the critical value reduces, the margin of error reduces and the confidence interval becomes narrower

3 0

3 years ago

What is the slope of the line?

avanturin [10]

3/4 To find the slope of a line you need to do rise/run. you find two solid points meaning find two points are exactly on a intersection. Then you count up how much it needs to the point then count across to the next point

8 0

2 years ago

Read 2 more answers

Please use system of linear equations by elimination OR substitution. I need the work as well please.

Olin [163]

1) P= 64 cm, width = x, length = 14 + x

64 = x + x + 14 + x + 14 + x

64 = 4x + 28

4x = 64 - 28

4x = 36

x = 36/ 4

x = 9

AREA = 9 x (9+14)

Area = 9 x 23

Area = 207 cm

2) smaller no. = y, bigger no. = x

x - y = 3

2x+1/2y=36

Next, multiply 2 to first equation and find y:

2x-2y=6

5/2y=30

y = 12

Substitue y to x-y=3 to find x,

x = 15

3) x = pencil, y = pen

5x + 4y = $6.15

8x + 3y = 9.85$

8x + 7y = ?

5x + 4y = 6.15$ multiply both sides by -3

8x + 3y = 9.85$ multiply both sides by 4

-15x + 32x = (-3)*6.15 + 4*9.85

7x = 19.87 multiply both sides by 8/7

8x = (8/7) x 19.87

Add both equations:

32y - 15y = 8x6.15 - 5*9.58

17y = 1.3

y = 91/17) x 1.3

7y = (7/17)x 1.3

8x + 7y = (8/7) x 19.87 + (7/17) x 1.3

8x + 7y = $23.244

4) 2l + 2w = 0

2 x 2l + 2 x 1/2w = 40 + 16

l+w = 20

4l+w = 56

I’ve got l = 12 and w = 8

5) answer: 28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° = \frac{ab}{bc}

but bc = 20 feet.

⇒ tan 55 ° = \frac{ab}{20}

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348 ≈ 28.56 feet

6) The answer is teh attachment !

7) 3x-x+2=4

HOPE THE ANSWERS HELP!! PL MARK ME BRAINLIEST!

3 0

2 years ago

Keith, Jason, Alyssa and Monique each have 27 playing cards. How many card to they have in all?

gtnhenbr [62]

Answer: I think its 81 but i'm not that sure.

Step-by-step explanation:

8 0

3 years ago

Write a real-world problem that can be represented by a rule and a table using division

LuckyWell [14K]

A company makes different size square containers. How can you find the length of each side if you know the perimeter of each of the containers? Represent your answer in a table, and right and equation that shows the rule used. You would write the equation x/4=y. I would create an input/output table with the labels x and y. I would then write various lengths for the perimeters and use the rule of dividing by 4 to find the y values.

4 0

3 years ago

The GCF of 24 and 40 is _______.