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3 years ago

Which of the following formulas, when evaluated using rational values for the variables, will result in an irrational number?

Mathematics

1 answer:

Lerok [7]3 years ago

8 0

Answer:

a) The formula for the area of a circle

Step-by-step explanation:

The formula for the area of a circle is

A = πr²

π is an irrational number and, no matter what value you use for r, the area will be an irrational number,

b) is wrong. A = ½(a + b)h.

c) is wrong. A = ½bh.

d) is wrong. A = bh.

All measurements are rational numbers, so the areas will be rational numbers.

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t is known that the population variance equals 484. With a 0.95 probability, the sample size that needs to be taken if the desir

PtichkaEL [24]

Answer:

The sample size needed to be taken is approximately 74.

Step-by-step explanation:

To get alpha; we have 1 - 0.95 = 0.05

Therefore, $z_{\frac{a}{2} } = \frac{0.05}{2} = 0.025$

The we look up z* in a Standard Normal table where α = 0.025 area in each tail.

From the table, z* = 1.96

From the question variance is 484, then the standard deviation is 22

Standard deviation = $\sqrt{Var(x)} = \sqrt{484} = 22$

And margin of error is 5 or less

The formula for margin of error is given as:

margin of error = $\frac{(z^{*}) (SD)}{\sqrt{n} }$

$5 = \frac{1.96 * 22}{\sqrt{n} } \\5 = \frac{43.12}{\sqrt{n} } \\5 * \sqrt{n} = 43.12\\(5)^{2} * (\sqrt{n} )^{2} = (43.12)^2\\25 * n = 1859.3344\\25n = 1859.3344\\\frac{25n}{25} = \frac{1859.3344}{25} \\n = 74.373376\\n = 74$

The approximate value of n is 74.

3 0

3 years ago

Complete the following equality. 11 ft = in.

astraxan [27]

Answer:

11 ft =132in

Step-by-step explanation:

first u multiply the length value which is 12

11 x 12 = 132

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3 years ago

Can somebody Help me please?!

antoniya [11.8K]

The first one because if you add all the positives you get 4 and then if you add all the negatives you get 7 so then you do 4+(-7)= -3

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3 years ago

Which of the following lists is in order from smallest to largest?

arlik [135]

Answer:

3.07, 3.072, 3.7, 3.72 (the last option)

Step-by-step explanation:

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Step-by-step explanation:

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