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3 years ago

80. At the gym Suppose that 10% of adults belong to

Mathematics

1 answer:

maria [59]3 years ago

6 0

Answer:

4% of all adults go to a health club at least twice a week

Step-by-step explanation:

the proportion of adults who belong to health clubs is 10% that is 0.10

the proportion of these adults (health club members) who go to the club at least twice a week is 40%, which is 0.40.

Thus, the proportion of all adults who go to a health club at least twice a week is

0.10 × 0.40 = 0.04, that is 4%

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Katrina wants to estimate the proportion of adults who read at least 10 books last year. to do so, she obtains a simple random

Vaselesa [24]

E=Z*sqrt (p(1-p)/N), where E= error margin, p=proportion, N=sample size

Katrina's margin error at 85% confidence interval: E=1.96*sqrt (p(1-p)/100) = 0.196 sqrt (1(1-p))

Mathew's margin error at 99% confidence interval: E= 2.58*sqrt (p(1-p)/400) = 0.129 sqrt (p(1-p))

Since both obtained same estimate of proportion (that is, value of p), it can be seen that Mathew's estimate will have a small error (That is, 0.129 is smaller than 0.196). This can be attributed to larger sample size although a wider confidence (99%) interval was considered.

3 0

3 years ago

Replace the ? by the correct mathematics symbol to make expression true<br><br> 18 ? 12 ? 4 ? 5 = 59

Marina CMI [18]

$18 ? 12 ? 4 ? 5 = 59 \\ \\ 12/4=3 \\ \\ 18*3=54 \\ \\ 54+5=59 \\ \\\textbf{So;}\\(12/4).18+5\\\textbf{Sancak1907}$

3 0

3 years ago

Read 2 more answers

A realtor sold a home for $341,100 The commission was 4% of the sale price; however, the realtor receives only 60% of the com

Pepsi [2]

Answer:

The relator recived $8,186.4

Step-by-step explanation:

What you have to do is find the 60% of the commission. Commission is 4% of $341,100 (100%)

First do a cross multiplication to find 4% of $341,100

100% ___ $341,100

4%______x:

$x=(4*341,100)/100=13,644$

So, the 4% of $341,100 is $13,466

Now you have to find the 60% of $13,466

100% ___ $13,466

60%______x:

$x=(60*13,466)/100=8,186.4$

The answer is: $8,186.4

3 0

3 years ago

Select which sets the number belongs to.(3) correct answers

slava [35]

Answer:

integer

Step-by-step explanation:

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6 0

1 year ago

Read 2 more answers

A telephone pole has a wire to its top that is anchored to the ground. The distance from the bottom of the pole to the anchor po

Bumek [7]

Answer:

The height of the pole is 105ft,

Step-by-step explanation:

Let us call $h$ the height of the pole, then we know that the distance from the bottom of the pole to the anchor point is 49, or it is $h - 49$ .

The wire length $d$ is 14 ft longer than height $h$ , hence

$d= h+14$ .

Thus we get a right triangle with hypotenuse $d= y+14$ , perpendicular $h$ , and base $h-49$ ; therefore, the Pythagorean theorem gives

$(h-49)^2+h^2 = (h+14)^2$

which upon expanding we get:

$h^2-98h+2401 = h^2+28h+196$

further simplification gives

$h^2-126h+2205=0$ ,

which is a quadratic equation with solutions

$h =21ft\\h = 105ft.$

Since the first solution $h =21ft$ will give the triangle base length of $21ft-49ft = -28ft$ which is negative; therefore, we disregard it and pick the solution $h = 105ft$ .

Hence, the height of the pole is 105ft.

3 0

3 years ago