All categories

2 years ago

Ents

Mathematics

1 answer:

Natali5045456 [20]2 years ago

5 0

Answer:

48 ≥ 4x + 2y

44 ≥ 2x + 2y

First, we will look at assembling hours.

"The standard model requires 4 hours to assemble [and] the artisan model requires 2 hours to assemble"

We also know they have 48 hours per day for assembly, x is standard model and y is artisan model.

48 = 4x + 2y

Lastly, they do not need to make that many, but they can so we will use greater than or equal to.

48 ≥ 4x + 2y

Now let us look at finishing hours.

"The standard model requires ... 2 hours for finishing touches. The artisan model requires ... 2 hours for finishing touches."

We also know they have 44 hours per day for assembly, x is standard model and y is artisan model.

44 = 2x + 2y

Again, they do not need to make that many, but they can so we will use greater than or equal to.

44 ≥ 2x + 2y

You might be interested in

MATH DETECTIVE:

sergeinik [125]

Answer:

- 5

Step-by-step explanation:

"I am a negative integer greater than -6."

This eliminates any number that is less than -6, as well as any positive number.

0 > x > -6

"I am less than -2."

This narrows down the possible numbers to:

-5, -4, -3.

"I am not equal to -2 + (-1)"

-2 + - 1

-2 - 1

- 3

The number is not '-3'.

"I am not equal to 2 - 6."

2 - 6

- 4

The number is not -4.

Your number should be -5.

Hope this helps.

6 0

2 years ago

Do students that are "Greek" (those who belong to a sorority/fraternity) have a tendency to be more involved in student governme

balu736 [363]

Answer:

Option B is correct.

The alternative hypothesis is given Mathematically as

Ha: pA - pB > 0

Step-by-step explanation:

For hypothesis testing, the first thing to define is the null and alternative hypothesis.

The null hypothesis plays the devil's advocate and usually takes the form of the opposite of the theory to be tested. It usually contains the signs =, ≤ and ≥ depending on the directions of the test.

While, the alternative hypothesis takes the other side of the hypothesis; that there is indeed a significant difference between two proportions being compared. It usually confirms the the theory being tested by the experimental setup.

For this question, we want to test if students who are "Greek" (those who belong to a sorority/fraternity) have a tendency to be more involved in student government events than students who are "Not Greek" by checking the proportion of each group of students that turn out to vote in the student government elections.

If the proportion of Greek students that turn out to vote in the student government elections = pA

And

The proportion of non-Greek students that turn out to vote in the student government elections = pB

And the difference between them is given as

μ₀ = pA - pB

The theory to be tested that pA > pB, would constitute the alternative hypothesis and the null hypothesis would say that either the proportions are equal or proportion of non-greek students that turn out to vote is more than the proportion of Greek students that turn out to vote in the student government elections.

Mathematically,

The null hypothesis would be that

H₀: μ₀ = pA - pB ≤ 0

H₀: pA = pB

And the alternative hypothesis would be that

Hₐ: μ₀ = pA - pB > 0

Hₐ: pA > pB

Thereby, confirming the theory to be tested.

Hope this Helps!!!

3 0

3 years ago

A hair salon completed a survey of 367 customers about satisfaction with service(Dissatisfied, Neutral, Satisfied, or Very Satis

mamaluj [8]

The results of the survey are shown in the table.

It's required to calculate the following probabilities:

a) A customer is neutral

The row labeled as 'Neutral' has a total of 79 customers out of 367 in total.

The required probability is:

$p=\frac{79}{367}$

b) A customer is a walk-in

The first column labeled as 'Walk-in' has a total of 106 customers out of 367. The required probability is

$p=\frac{106}{367}$

c) A customer is dissatisfied and a walk-in.

We have to cross the row Dissatisfied with the column Walk-in. The number of customers that have both categories is 22 out of 367.

The required probability is:

$p=\frac{22}{367}$

d) A customer is very satisfied given he saw a TV ad.

This is a conditional probability, where the total is 111 because is the given condition. The customers that have both characteristics are 33, thus the required probability is: