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2 years ago

8

Devin is on his school's swim team. During his 2-week winter break, he swims 30 laps each week to stay in shape. If each lap is

25 yards, how many feet does he swim during his winter break?

1 answer:

tamaranim1 [39]2 years ago

7 0

I think... 1500

Step-by-step explanation:

multiply 30 and 25 then times 750 as your answer by 2 to get 1500

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A sample size must be determined for estimating a population mean given that the confidence level is % and the desired margin o

Sauron [17]

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

$n =290$

b

$n =129$

c

The correct option is D

Step-by-step explanation:

From the question we are told that

The margin of error is $E = 0.23$

The largest value is k = 15

The smallest value is u = 7

From the question we are told the confidence level is 95% , hence the level of significance is

$\alpha = (100 - 95 ) \%$

=> $\alpha = 0.05$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally population standard deviation estimate is mathematically represented as

$\sigma = \frac{Range }{4}$

Here the Range is mathematically represented as

$Range = k - u$

=> $Range = 15 - 7$

=> $Range = 8$

=> $\sigma = \frac{8 }{4}$

=> $\sigma = 2$

Generally the sample size is mathematically represented as

$n = [\frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ] ^2$

=> $n = [1.96 * 2 }{0.23} ] ^2$

=> $n =290$

Generally to obtain a conservatively small sample size the population standard deviation estimate becomes

=> $\sigma = \frac{Range }{6}$

=> $\sigma = \frac{8 }{6}$

=> $\sigma =1.333$

Generally the conservatively small sample size is mathematically evaluated as

$n = [\frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ] ^2$

=> $n = [1.96 * 1.333 }{0.23} ] ^2$

=> $n =129$

6 0

2 years ago

Gcf of 27, 45 and 54

julia-pushkina [17]

The GCF is <span>1. hope that helps</span>

5 0

2 years ago

Read 2 more answers

I need help please .

levacccp [35]

Answer:

Step-by-step explanation:

You know that anything to the zeroeth power is 1, so the equation is now

-7 * 1, or -7.

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2 years ago

How is multiplying two<br> fractions similar to multiplying fractions and whole numbers?

Lunna [17]

Answer: They are similar in that when you multiply 2 fractions, you merely multiply the numerators together and the denominators together they are different in that a division still remains once the multiplication is completed.

Step-by-step explanation: ^

4 0

2 years ago

Find two numbers that have a sum of -2 and a product of -48 (please show work if possible)

andreev551 [17]

Answer: -8 and 6

Step-by-step explanation:

factors of 48: 1,2,4,6,8,12,24,48

1 x 48

2 x 24

4 x 12

6 x 8

for a negative product, one of the factors must be negative and the other positive.

for two number to have a sum of -2, the greater number must be the negative number, and both numbers should have be two values apart (ex. 6 and 8, 3 and 5, 12 and 14, etc.). In this case, 8 would have to be negative whereas 6 will be left positive.

and then we check:

-8 x 6 = 48

-8 + 6 = -2

5 0

2 years ago