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Fiesta28 [93]
3 years ago
11

A health fitness research group wishes to estimate the mean amount of time (in hours) that members of a fitness center spend eac

h week exercising at the center. They want to estimate the mean within a margin of error of 0.4 hours with a 95% level of confidence. Previous data suggest that the population standard deviation (sigma) is 2.6 hours. What is the smallest sample size that meets these criteria
Mathematics
1 answer:
Arlecino [84]3 years ago
6 0

Answer:

the smallest sample size is 163

Step-by-step explanation:

The computation of the smallest sample size that meets these criteria is shown below:

n = (Z a/2 ×  Standard deviation  ÷ Margin of error ) ^2

Zα/2 at 0.05% LOS is = 1.96 ( From Standard Normal Table )

Standard Deviation ( S.D) = 2.6

Margin of error i.e. ME =0.4

n = ( 1.96 × 2.6 ÷ 0.4) ^2

= 163

Hence, the smallest sample size is 163

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Find the value of csc theta, if cos =-3/5; 90 degrees < theta < 180 degrees
Sloan [31]

Answer:\frac{5}{4}

Step-by-step explanation:

Given

\cos \theta =\frac{-3}{5}

and \theta  lies between

90^{\circ}

and for this \theta,\sin and \text{cosec} is Positive as they lie in 2 nd Quadrant

\sin ^2\theta +\cos ^2\theta =1

\sin ^2\theta =1-(\frac{-3}{5})^2

\sin ^2\theta =1-\frac{9}{25}

\sin ^2\theta =\frac{16}{25}

\sin \theta =\frac{4}{5}

\therefore \text{cosec}\ \theta =\frac{5}{4}

6 0
3 years ago
Hannah buys two and a half pound of dried fruit for $1.15 how much is she paying for one pounds of dried fruit
Nadya [2.5K]

All we have to do here is divide how much she paid ($1.15) by how many pounds of dried fruit she bought (2.5 pounds)

1.15 ÷ 2.5 = 0.46

Therefore each pound costs $0.46

Hope this helps

-AaronWiseIsBae

5 0
4 years ago
What is the measure of W the parallelogram shown?
nexus9112 [7]

Answer:

148 degrees

Step-by-step explanation:

For a parallelogram, angles on the same side sum up to be 180

what this simply means is that they are supplementary

Mathematically, we have it that;

X + W = 180

W = 180 - X

W = 180 -32

W = 148 degree

6 0
3 years ago
How do I solve this problem ?
Nonamiya [84]

Answer:

$19.99 for each cartridge.

Step-by-step explanation:

For this problem, we are finding the cost of the three printer cartridges. Since the problem says that the tax was 5.95, we can subtract that from 90.91.

90.91-5.95=

84.96

Next, since we know that the software package was 24.99, we can subtract that from 84.96.

84.96-24.99=

59.97

Finally, since there are three printer cartridges, we can divide 59.97 by 3, and get our answer.

59.97/3=

19.99

Each printer cartridge would cost $19.99.

Hope this helps and have a good day! :D

8 0
1 year ago
What quadrilateral has exactly one pair of parallel sided?
8_murik_8 [283]
It should be a trapezoid

6 0
3 years ago
Read 2 more answers
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