33a7b8c-5<br><br> 22a-2b6c-3

Mashcka [7]

Im sorry, it is too blurry. I cannot read it.

4 0

2 years ago

The Carter Motor Company claims that its new sedan, the Libra, will average better than 31 miles per gallon in the city. Assumin

Nutka1998 [239]

Answer:

The null hypothesis $H_o : \mu = 31$

The alternative hypothesis $H_a : \mu > 31$

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 31 \ miles / gallon$

Generally

The null hypothesis is that the company's new sedan, the Libra, will have an average of $\mu = 31 \ miles / gallon$

This mathematically represented as

The null hypothesis $H_o : \mu = 31$

The alternative hypothesis is that the company's new sedan, the Libra, will have an average better than $\mu = 31 \ miles / gallon$

This mathematically represented as

The alternative hypothesis $H_a : \mu > 31$

7 0

3 years ago

If you rotate a right triangle, what feature of the triangle changes?

rusak2 [61]

The area in which the right angle was at before. the angle nor the triangle changes

7 0

3 years ago

The offices of president, vice president, secretary, and treasurer for an environmental club will be filled from a pool of 15c

Alexus [3.1K]

Answer:

a) 5.13% probability that all of the offices are filled by members of the debate team

b) 2.56% probability that none of the offices are filled by members of the debate team

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the people are chosen is important, since the first person is the president, the second is the vice president and so on... So we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

(a) What is the probability that all of the offices are filled by members of the debate team?

Desired outcomes:

4(president, vice president, secretary, and treasurer) offices from a set of 8(candidates of the members debate team).

So

$D = P_{(8,4)} = \frac{8!}{(8-4)!} = 1680$

Total outcomes:

4 offices from a set of 15 candidates.

$T = P_{(15,4)} = \frac{15!}{(15-4)!} = 32760$

Probability:

$P = \frac{D}{T} = \frac{1680}{32760} = 0.0513$

5.13% probability that all of the offices are filled by members of the debate team

(b) What is the probability that none of the offices are filled by members of the debate team?

Desired outcomes:

4(president, vice president, secretary, and treasurer) offices from a set of 7(candidates who are not of the members debate team).

$D = P_{(7,4)} = \frac{7!}{(7-4)!} = 840$

Total outcomes:

4 offices from a set of 15 candidates.

$T = P_{(15,4)} = \frac{15!}{(15-4)!} = 32760$

Probability:

$P = \frac{D}{T} = \frac{840}{32760} = 0.0256$

2.56% probability that none of the offices are filled by members of the debate team

7 0

3 years ago

Leo Corporation pays its employees on a graduated commission scale: 6 percent on 1st $40,000 sales; 7% on sales above $40,000 to

kaheart [24]

So according to the question statements

6% of the $40k and 7$ of the second $40k and 9% ammount of the $80k

the answer would be

40000 * 0.06
+ 40000 * 0.07
+ 25000 * 0.09
= 270250

7 0

3 years ago

33a7b8c-5 22a-2b6c-3