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Mathematics

1 answer:

Llana [10]2 years ago

3 0

K is -3 * 4 or -12 or C

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Mary is playing basketball. She scored 11 baskets in 15 free throws.What is the experimental probability that she will NOT score

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Her experimental probability of not scoring a basket would be 4/15

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Number 1. Based on the marks, what can you assume to be true in each figure?

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These marks are used in geometry to symbolize congruence. If two sides or two angles are congruent, they are assigned with the same symbol.

A. Side AD is congruent to Side CB
B. Side HE is congruent to side HG. Side EF is congruent to Side GF.
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D. Side QF is congruent to Side MN, and Side QM is congruent to Side PN. The shape is a rectangle.

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A person recently read that 84% of cat owners are women. How large a sample should the researcher take if she wishes to be 90% c

Lana71 [14]

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405

Step-by-step explanation:

To find sample size, use the following equation, where n = sample size, za/2 = the critical value, p = probability of success, q = probability of failure, and E = margin of error.

$n=\frac{(z_{\frac{\alpha }{2} })^{2} *p*q }{E^2}$

The values that are given are p = 0.84 and E = 0.03.

You can solve for the critical value which is equal to the z-score of (1 - confidence level)/2. Use the calculator function of invNorm to find the z-score. The value will given with a negative sign, but you can ignore that.

(1 - 0.9) = 0.1/2 = 0.05

invNorm(0.05, 0, 1) = 1.645

You can also solve for q which is 1 - p. For this problem q = 1 - 0.84 = 0.16

Plug the values into the equation and solve for n.

$n =\frac{(1.645)^2*0.84*0.16}{(0.03)^2}\\n= 404.0997333$