1) A couple is expecting the birth of a baby boy. They will name the child by choosing a first name

Mathematics

1 answer:

posledela3 years ago

7 0

Answer:

C. 30

Step-by-step explanation:

We have a list of names that need to be sorted in a specific order. For this, we will use a permutation. This can be found on a scientific calculator, however, I'll be using the equation.

$_nP_r=\frac{n!}{(n-r)!}$

n = total number of objects

r = number of objects selected

In this instance, n will equal 6 since we have 6 different names to choose from and r will equal 2 since we are picking two names. Enter the values into the equation and evaluate.

$_6P_2=\frac{6!}{(6-2)!}=30$

Therefore, there are 30 possible two-part names.

You might be interested in

Expand the following expression by using the distributive method.<br> 3(4x + 5y)

Liula [17]

Answer: 12x + 15y

Explanation:
1. 3 x 4x + 3 x 5y
2. 12x + 15y

This expression can not be expanded further because there are no like terms.

Hope this helps :)

8 0

3 years ago

A college requires applicants to have an ACT score in the top 12% of all test scores. The ACT scores are normally distributed, w

DochEvi [55]

Answer:

a) The lowest test score that a student could get and still meet the colleges requirement is 27.0225.

b) 156 would be expected to have a test score that would meet the colleges requirement

c) The lowest score that would meet the colleges requirement would be decreased to 26.388.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 21.5, \sigma = 4.7$