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3 years ago

Help finding the shaded area

Mathematics

1 answer:

Pani-rosa [81]3 years ago

8 0

23/25 that’s good wish it helps that’s the right answer

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A random sample of 144 observations has a mean of 20. The population standard deviation is known to equal 4.8. The 95.44% confid

Makovka662 [10]

Answer:

The population mean is 19.2 to 20.8.

Step-by-step explanation:

The formula of Confidence interval is

CI = mean ± z* $\frac{s}{\sqrt{n} }$

where

n = sample size

s = Population standard deviation.

mean = Sample mean

z(α/2) = Two tailed z-value for significance level of .

Given : Confidence level = 95.44% = 0.9544

Significance level = α = 1-0.9544 = 0.0456

Now we Use standard z-value table

z-value for Significance level of 0.0456 :

z(α/2) = z(0.0228) = 1.99 = 2(approximately)

And we are given

n=144

s = 4.8

mean = 20

so the required Confidence interval is

CI = 20± 2* $\frac{4.8}{\sqrt{144} }$

= 20 ± 2* $\frac{4.8}{12}$

= 20 ± (0.8)

= (20-0.8, 20+0.8 )

= (19.2 , 20.8)

Therefore the 95.44% CI value for the population mean of 20 is 19.2 to 20.8.

6 0

3 years ago

Auden rolled two number cubes and recorded the results. What is the experimental probability that the

faust18 [17]

Answer:

$Pr = \frac{5}{7}$

Step-by-step explanation:

Given

$n = 7$ -- rolls

Required

$P(sum > 5)$

From the attached table, the outcomes whose sum are above 5 are"

$sum>5 = \{\#2,\#3,\#4,\#5,\#6\}$

$n(sum > 5) = 5$

So, the probability is:

$Pr = \frac{n(sum > 5)}{n}$

This gives:

$Pr = \frac{5}{7}$

4 0

3 years ago

Sorry forgot to post the problem here it is

vovikov84 [41]

Answer:

Step-by-step explanation:

m angle A and m angle C are equal sine two of those sides are equal. You would do 3x + 40 = x +50

You subtract x, leaving it to be 2x + 40 = 50

Subtract the 40, leaving it be 2x = 10

Divide both sides by 2, which leaves x = 5

and then you would do 3(5) + 40, which is 55

4 0

3 years ago

-4+6(-4x+3) combining like terms & distributive property

Damm [24]

After using distributive property and combining like terms the answer is -2

8 0

3 years ago

Read 2 more answers

A rectangle is drawn so that the width is 2 feet shorter than the length. the area of the rectangle is 24 square feet. find the

arlik [135]

Area = Length x width
Assuming width = x, that makes length = x + 2
$24 = (x)(x + 2) \\ {x}^{2} + 2x = 24 \\ {x}^{2} + 2x - 24 = 0 \\ (x + 6)(x - 4) = 0 \\ x = - 6 \: or \: x = 4$
Since width can't be a negative number, so it's 4 feet.

Answer : Length is 6 feet.

Hope this helps. - M

8 0

3 years ago