There are 12 cats and 11 dogs at the shelter. What is the ratio of cats to all animals?

Logans credit card bill indicates that he owes $470. Sends a check to the credit card company for $45 charges $160 in merchandis

insens350 [35]

$470-45+160-500= $630-545= $85. Logan still owes $85 :)

7 0

3 years ago

After being rejected for employment, Kim Kelly learns that the Bellevue Credit Company has hired only five women among the last

Georgia [21]

Answer:

The probability that 5 or fewer women are hired, assuming no gender discrimination, is 0.0317; we can use this result to support her charge of gender discrimination.

Step-by-step explanation:

If we are assuming that the women and the men are equally qualified, then the probability for each employee that is hired the probability for it to be a women should be 1/2. Note that the fact that more men that women are hired in a sample might not be disctrimination: for example, if 2 men are hired out of 2 employees, that can happen with probability 1/4, so it is quite common. In order to support her charge for gender discrimination, we need at least a probability less that 0.05 that 5 (or less) women are hired out of 19 employees.

Since each configuration is equally probable, we will count the total amount of possible cases that 5 or less women are hired, and dividide it by the total amount of cases, 2¹⁹.

0 women hired: one possible case: every employee is male
1 women hired: 19 possible cases
2 women hired: ${19 \choose 2} = 171$ possible cases
3 women hired: ${19 \choose 3} = 969$ possible cases
4 women hired: ${19 \choose 4} = 3876$ possible cases
5 women hired: ${19 \choose 5} = 11628$ possible cases

Thus, there are a total of 11628+3876+969+171 = 16644 possible cases out of 2¹⁹ ones. All of them with seemingly equal probability. As a consequence, the probability of 5 or less women to be hired out of 19 employees, assuming that the probability to hire 1 is 1/2, is

16644/2¹⁹ = 0.0317 < 0.05

The probability that 5 or fewer women are hired, assuming no gender discrimination, is 0.0317. Since the probability is so low, we can conclude that for the employer, a woman equally qualified as a man is less likely to be hired, therefore, we can support her charge of gender discrimination.

6 0

3 years ago

A sphere is inscribed in a cube with a volume of 64 cubic inches. What is the volume of the sphere? Round your answer to the nea

erma4kov [3.2K]

Answer:

the volume of the sphere is

$33.51 in^{3}$