MATHEMATICS COLLEGE

Determine the slope from the graphs

Answers

Answer 1

Answer:

Answer:

This is solved

Step-by-step explanation:

Hope this helps

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The volume of a Rectangular Prism is 58 ft. If all of the dimensions of the rectangular prism are multiplied by a scalefactor of 4. What is the VOLUME of the new Rectangular Prism?ft3 Do NOT put units in your answer.

Cost of Health Care ~ Have you or a member of your immediate family put off medical treatment due to cost during the past year? In 2016, a survey asked 967 randomly selected American adults this question and 184 said yes. In 2019, another survey asked the same question to 1015 randomly selected American adults and 253 said yes. We want to determine if there is a difference between the proportion of Year 2016 American adults and Year 2019 American adults, who put off medical treatment due to cost.

Answers

Answer:

The correct answers are

1) There must be at least 10 observed successes and 10 observed failures in the sample from population 1.

3) There must be at least 10 observed successes and 10 observed failures in the sample from population 2.

Step-by-step explanation:

Hello!

You have two variables of interest:

X₁: Number of that had to put off medical treatment due to cost during 2016.

n₁= 967 people surveyed

x₁= 184 answered "yes"

sample proportion p'₁= 184/967= 0.19

X₂: Number of that had to put off medical treatment due to cost during 2019.

n₂= 1015 people surveyed

x₂= 253 answered "yes"

p'₂= 253/1015= 0.25

The pooled sample proportion is $p'= (x_1+x_2)/(n_1+n_2) = (184+253)/(967+1015)= 0.22$

To study the population proportion you have to apply the Central Limit Theorem to approximate the distribution of the sample proportion to normal, the conditions for a valid approximation are:

Sample size n ≥ 30

n₁= 967

n₂= 1015

n*p'≥10 (each sample contains at least 10 successes)

n₁*p'₁= 967*0.19= 183.73

n₂*p'₂= 1015*0.25= 253.75

n*(1-p')≥10 (each sample contains at least 10 failures)

n₁*(1-p'₁)= 967*0.81= 783.27

n₂*(1-p'₂)= 1015*0.75= 761.25

The correct answers are

1) There must be at least 10 observed successes and 10 observed failures in the sample from population 1.

3) There must be at least 10 observed successes and 10 observed failures in the sample from population 2.

I hope it helps!

A four pack of batteries cost 5.16 at this price what is the cost of

Answers

Answer:

1.29 for 1 pack

Step-by-step explanation:

5.16/4=1.29

When designing and writting questions for a survey , which of the following are issues that you need to pay attention to?A. Wording of questions
B. Order of questions
C. Sensitive questions
D. All of the above

Answers

Answer:A

Step-by-step explanation:

A company produces two products, A and B. The sales volume for A is at least 80% of the total sales of both A and B. However, the company cannot sell more than 110 units of A per day. Both products use one raw material, of which the maximum daily availability is 300 lb. The usage rates of the raw material are 2 lb per unit of A, and 4 lb per unit of B The profit units for A and B are $40 and $90, respectively. Determine the optimal product mix for the company

Answers

Answer:A=100 , b=25

Step-by-step explanation:

Let sales of A be x and sales of B be y

Thus $x\geq 0.8(x+y)$

$x\geq 4y$

Also maximum A available is $110\geq x$

$300\geq 2x+4y$

$150\geq x+2y$

We have find the optimal solution for

z=40x+90y

Optimal solution points

(100,25) z $=40* 100+90* 25=6250$

(110,20) z $=40* 110+90* 20=6200$

(110,0) z $=40* 110+90* 0=4400$

Thus for A=100 and B=25 Optimal solution is obtained

Final answer:

The optimal product mix problem involves maximizing profit given certain constraints. The constraints can be expressed in terms of inequalities which can be solved using linear programming techniques such as the corner point theorem or the simplex method.

Explanation:

The subject of this problem is to determine the optimal product mix of two products, A and B, produced by a company. This is guided by several constraints including sales volumes, maximum output, raw material availability, and profit units.

From the problem, we have two constraints. Firstly, sales of A must be at least 80% of the total sales of A and B, and no more than 110 units of A can be sold per day. Secondly, the company cannot use more than 300 lbs of the raw material per day with usage rates of 2 lbs per unit of A and 4 lbs per unit of B.

Let the quantity of A and B sold per day be x and y respectively. The profit is given by the expression 40x + 90y. We need to maximize this expression based on the constraints. The constraints can be expressed as follows:

x ≥ 0.8(x + y), this is the sales volume constraint.
x ≤ 110, this is the maximum sales constraint.
2x + 4y ≤ 300, this constraint arises from the raw material availability.

These constraints form a linear programming problem. By plotting these inequalities on a graph and finding the feasible region, we can use the corner point theorem or simplex method to find the optimal solution.

Learn more about Optimal Product Mix here:

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The sum of the lengths of is 24.62 cm. The length of is 3 cm and the length of is 17.8 cm. What is the length of and what kind of triangle is this?A. 3.82 cm; scalene
B. 3.82 cm; isosceles
C. 3.92 cm; scalene
D. 3.92 cm; isosceles

Answers

Answer:

$the \: third \: length \: \n 24.62 - 3 - 17.8 = 3.82 \n \n because \n \: 17.8 > 3 + 3.82 \n it \: is \: scalene$

Scalene Triangle

A scalene triangle has all side lengths of different measures. No side will be equal in length to any of the other sides in such a triangle. In a scalene triangle, all the interior angles are also different.

Isosceles Triangle

In an isosceles triangle, the lengths of two of the three sides are equal. So, the angles opposite the equal sides are equal to each other. In other words, an isosceles triangle has two equal sides and two equal angles.

Answer:

B. 3.82 cm; isosceles

Step-by-step explanation:

Answers

Answer:

domain:-16,-8,0,12

range:0,-11,12,14

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Consider each equation and solution. Which solution is NOT correct?

What is the probability that a point chosen at random is in the blue region?

The value z is directly proportional to c. When z = 20, c = 10. Find an equation relating z and c. *