1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Paha777 [63]
3 years ago
15

Lily is in the business of manufacturing phones. She must pay a daily fixed cost to rent the building and equipment, and also pa

ys a cost per phone produced for materials and labor. The equation C=900+100pcan be used to determine the total cost, in dollars, of producing pp phones in a given day. What is the slope of the equation and what is its interpretation in the context of the problem?
Mathematics
1 answer:
Nesterboy [21]3 years ago
7 0

Answer:

<h2>The slope is 100</h2>

Step-by-step explanation:

Given that the equation that represents the total cost is given as

C=900+100p--------1

this equation is the same as the equation of a straight line, and we can deduce from it when we compare it the straight line equation

the equation of a line is given as

y=mx+c------2

comparing equation 1 and 2 we have the slope as

m=100

In the context of this problem m=100 means that the cost of producing a phone per material and labour cost is $100

You might be interested in
Michael bought a shirt with 2/5 of his money. Then he bought a jacket that cost $5 more than the shirt. He spent $105 altogether
TEA [102]

Answer:

vb hyjv bnhyn g

Step-by-step explanation:

8 0
2 years ago
The average production cost for major movies is 57 million dollars and the standard deviation is 22 million dollars. Assume the
Degger [83]

Using the normal distribution, we have that:

  • The distribution of X is X \approx (57,22).
  • The distribution of \mathbf{\bar{X}} is \bar{X} \approx (57, 5.3358).
  • 0.0597 = 5.97% probability that a single movie production cost is between 55 and 58 million dollars.
  • 0.2233 = 22.33% probability that the average production cost of 17 movies is between 55 and 58 million dollars. Since the sample size is less than 30, assumption of normality is necessary.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

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

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
  • By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation s = \frac{\sigma}{\sqrt{n}}.

In this problem, the parameters are given as follows:

\mu = 57, \sigma = 22, n = 17, s = \frac{22}{\sqrt{17}} = 5.3358

Hence:

  • The distribution of X is X \approx (57,22).
  • The distribution of \mathbf{\bar{X}} is \bar{X} \approx (57, 5.3358).

The probabilities are the <u>p-value of Z when X = 58 subtracted by the p-value of Z when X = 55</u>, hence, for a single movie:

X = 58:

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

Z = \frac{58 - 57}{22}

Z = 0.05.

Z = 0.05 has a p-value of 0.5199.

X = 55:

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

Z = \frac{55 - 57}{22}

Z = -0.1.

Z = -0.1 has a p-value of 0.4602.

0.5199 - 0.4602 = 0.0597 = 5.97% probability that a single movie production cost is between 55 and 58 million dollars.

For the sample of 17 movies, we have that:

X = 58:

Z = \frac{X - \mu}{s}

Z = \frac{58 - 57}{5.3358}

Z = 0.19.

Z = 0.19 has a p-value of 0.5753.

X = 55:

Z = \frac{X - \mu}{s}

Z = \frac{55 - 57}{5.3358}

Z = -0.38.

Z = -0.38 has a p-value of 0.3520.

0.5753 - 0.3520 = 0.2233 = 22.33% probability that the average production cost of 17 movies is between 55 and 58 million dollars. Since the sample size is less than 30, assumption of normality is necessary.

More can be learned about the normal distribution at brainly.com/question/4079902

#SPJ1

8 0
1 year ago
What is one-half of the product of the following?
agasfer [191]

Answer:

-2/3 is the right answer

5 0
2 years ago
Read 2 more answers
The sum of 69 and 42 is five more than the difference of 146 and a number. Calculate the value of the unknown number.
Len [333]
As an equation, we have:
69+42=5+(146-x)

You just have to simplify:

111=5+(146-x)
106=146-x
-40=-x
40=x

Your unknown number is 40
5 0
3 years ago
What is the slope of the line with these points (5, -3) (6, -1) (7, 1)
ycow [4]

Answer:

4/2

Step-by-step explanation:

Rise/Run

4/2

8 0
3 years ago
Read 2 more answers
Other questions:
  • 5 and 3 fourths times 2 and 2 eleventh’s
    11·2 answers
  • Spending a day observing a professional in his or her work
    8·2 answers
  • In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=29°, and RS = 83 feet. Find the length of SQ to the nearest tenth of a foot.
    11·1 answer
  • What is the recursive formula when given the explicit formula for the following geometric sequence?
    11·1 answer
  • Which dimensions can create only one unique triangle?
    13·2 answers
  • Can somebody help me please
    7·2 answers
  • Comment on Denombre
    8·1 answer
  • Help plisss!!!! I need help for this
    9·2 answers
  • Solve the quadratic equation by using either a numeric or a graphic approach.
    8·2 answers
  • Four students in an art class mixed red and blue paint to make purple. The amounts they used are shown in the table. Which stude
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!