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Alecsey [184]
2 years ago
11

1. Try It # 1 A company sells doughnuts. They incur a fixed cost of $25,000 for rent, insurance, and other expenses. It costs $0

.25 to produce each doughnut.
b. Find and interpret the y-intercept.
Mathematics
1 answer:
Y_Kistochka [10]2 years ago
5 0

Answer:

The y-intercept is 25000 . The intercept is the fixed cost of the doughnut selling company.

Step-by-step explanation:

In the question, it is given that the fixed cost is $25000 and the expense to produce each doughnut is $0.25.

It is required to find and identify the y intercept.

To do so, use the equation derived in previous part of the exercise to interpret the slope. Compare the equation with standard equation of the line.

Step 1 of 1

The total cost of the company is the sum of fixed cost and the expenses for the doughnut, C=0.25x+25000.

Compare the equation with general linear equation y=mx+c.

The y-intercept is 25000 .

The intercept is the fixed cost of the doughnut selling company.

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Nathan earns $1500 a week. Calculate his new weekly wage if he receives a pay rise of 20%
bazaltina [42]

Answer:

$1800

Step-by-step explanation:

1. Approanch

An easy way to calculate one's salary after they recive a raise is to, convert the percent that one's salary is increased into a decimal; divide the percent by 100. Then multiply the increase as a decimal by the original salary, to attain the amount the salary is raised by. Finally add the amount the salary is raised by to the original salary to find the new salary. A quicker way to do this is to convert the percent by the salary is increased into a decimal. Then add 1 to that number. Finally one will multiply that number by the original slary and get the new salary.

2. Solving

Original salary; 1500

Raise; 20%

<u>a. convert the raise as a percent into a decimal, then add 1</u>

20% = 0.2

0.2 + 1 = 1.2

<u>b. multiply the number by the original salary</u>

1.2 * 1500

1800

8 0
3 years ago
Read 2 more answers
Find an equivalent ratio for 22/55 and then write the proportion
lutik1710 [3]
\frac{22}{55} = \frac{2}{5} = .4
7 0
3 years ago
Read 2 more answers
Is the function y = -7 a linear function?
dmitriy555 [2]
<h3>Answer: Yes it is linear.</h3>

Explanation:

The given equation is the same as y = 0x - 7. It matches the form y = mx+b which is slope intercept form of a linear equation.

The slope m = 0 always applies to horizontal lines. All points on this line have a y coordinate of -7.

7 0
3 years ago
7.109) The leading brand of dishwasher detergent has a 30% market share. A sample of 25 dishwasher detergent customers was taken
Rina8888 [55]

Answer:

0.9021 = 90.21% probability that 10 or fewer customers choose the leading brand

Step-by-step explanation:

For each customer, there are only two possible outcomes. Either they choose the leading brand, or they do not. The probability of a customer choosing the leading brand is independent of any other customer, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

The leading brand of dishwasher detergent has a 30% market share.

This means that p = 0.3

A sample of 25 dishwasher detergent customers was taken.

This means that n = 25

a. What is the probability that 10 or fewer customers choose the leading brand?

This is:

P(X \leq 10) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{25,0}.(0.3)^{0}.(0.7)^{25} = 0.0001

P(X = 1) = C_{25,1}.(0.3)^{1}.(0.7)^{24} = 0.0014

P(X = 2) = C_{25,2}.(0.3)^{2}.(0.7)^{23} = 0.0074

P(X = 3) = C_{25,3}.(0.3)^{3}.(0.7)^{22} = 0.0243

P(X = 4) = C_{25,4}.(0.3)^{4}.(0.7)^{21} = 0.0572

P(X = 5) = C_{25,5}.(0.3)^{5}.(0.7)^{20} = 0.1030

P(X = 6) = C_{25,6}.(0.3)^{6}.(0.7)^{19} = 0.1472

P(X = 7) = C_{25,7}.(0.3)^{7}.(0.7)^{18} = 0.1712

P(X = 8) = C_{25,8}.(0.3)^{8}.(0.7)^{17} = 0.1651

P(X = 9) = C_{25,9}.(0.3)^{9}.(0.7)^{16} = 0.1336

P(X = 10) = C_{25,10}.(0.3)^{10}.(0.7)^{15} = 0.0916

Then

P(X \leq 10) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.0001 + 0.0014 + 0.0074 + 0.0243 + 0.0572 + 0.1030 + 0.1472 + 0.1712 + 0.1651 + 0.1336 + 0.0916 = 0.9021

0.9021 = 90.21% probability that 10 or fewer customers choose the leading brand

3 0
3 years ago
Please helpp!
Kitty [74]

Answer:

it may be B but I think it's C

Step-by-step explanation:

not sure if this is right, but I would say not congruent. it may be sas but in order for it to be sas then the Angle must be in-between the two congruent sides

5 0
3 years ago
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