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
koban [17]
2 years ago
13

The cost, in dollars, of a gym membership for n months can be described by the explicit equation Pn = 70 + 30n. What does this e

quation tell us?​
Mathematics
1 answer:
nadya68 [22]2 years ago
4 0

Answer:

30 plus 70 equals 100

Step-by-step explanation:

it tells the gum explicit equation

You might be interested in
4- A manufacturing process produces items whose weights are normally distributed. It is known that 22.57% of all the items produ
galben [10]

Answer:

\\ \mu = 118\;grams\;and\;\sigma=30\;grams

Step-by-step explanation:

We need to use z-scores and a standard normal table to find the values that corresponds to the probabilities given, and then to solve a system of equations to find \\ \mu\;and\;\sigma.

<h3>First Case: items from 100 grams to the mean</h3>

For finding probabilities that corresponds to z-scores, we are going to use here a <u>Standard Normal Table </u><u><em>for cumulative probabilities from the mean </em></u><em>(Standard normal table. Cumulative from the mean (0 to Z), 2020, in Wikipedia) </em>that is, the "probability that a statistic is between 0 (the mean) and Z".

A value of a z-score for the probability P(100<x<mean) = 22.57% = 0.2257 corresponds to a value of z-score = 0.6, that is, the value is 0.6 standard deviations from the mean. Since this value is <em>below the mean</em> ("the items produced weigh between 100 grams up to the mean"), then the z-score is negative.

Then

\\ z = -0.6\;and\;z = \frac{x-\mu}{\sigma}

\\ -0.6 = \frac{100-\mu}{\sigma} (1)

<h3>Second Case: items from the mean up to 190 grams</h3>

We can apply the same procedure as before. A value of a z-score for the probability P(mean<x<190) = 49.18% = 0.4918 corresponds to a value of z-score = 2.4, which is positive since it is after the mean.

Then

\\ z =2.4\;and\; z = \frac{x-\mu}{\sigma}

\\ 2.4 = \frac{190-\mu}{\sigma} (2)

<h3>Solving a system of equations for values of the mean and standard deviation</h3>

Having equations (1) and (2), we can form a system of two equations and two unknowns values:

\\ -0.6 = \frac{100-\mu}{\sigma} (1)

\\ 2.4 = \frac{190-\mu}{\sigma} (2)

Rearranging these two equations:

\\ -0.6*\sigma = 100-\mu (1)

\\ 2.4*\sigma = 190-\mu (2)

To solve this system of equations, we can multiply (1) by -1, and them sum the two resulting equation:

\\ 0.6*\sigma = -100+\mu (1)

\\ 2.4*\sigma = 190-\mu (2)

Summing both equations, we obtain the following equation:

\\ 3.0*\sigma = 90

Then

\\ \sigma = \frac{90}{3.0} = 30

To find the value of the mean, we need to substitute the value obtained for the standard deviation in equation (2):

\\ 2.4*30 = 190-\mu (2)

\\ 2.4*30 - 190 = -\mu

\\ -2.4*30 + 190 = \mu

\\ \mu = 118

7 0
3 years ago
Ashton rode his bicycle 3.25 miles in 12 minutes. What was Ashton’s average rate in miles per hour?
dangina [55]

Answer:

Ashton rode his bicycle 3.25 miles in 12 minutes. What was Ashton's average rate in miles per hour? The answer is 16.25

Ive done this

7 0
3 years ago
Read 2 more answers
Helpppppp me plzzzzzzzzzz
lawyer [7]

Answer:

21/4 or 5.25

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
X + 2y =6<br> X- y =3<br> Solution?
VikaD [51]
Since one equation has a negative y and the other has a positive y, I'm going to use those since they cancel each other out. Before that, the two y's need to be equal to each other.

x+2y=6
x-y=3

Multiply the bottom equation by two so then you have:

x+2y=6
2x-2y=6

The y's now cancel out:

x=6
2x=6

Add them together

3x=12

Divide

x=4.

To find y, plug x into either equation (*don't have to do both, but I will)

(4)+2y=6
(4)-y=3

Subtract four

2y=2
-y=-1

Divide each

2y/2 = 2/2
y=1

-y/-1 = -1/-1
y=1

The answer is:
x=4
y=1

I hope that helps!
4 0
3 years ago
Read 2 more answers
PLEASE HELP ME !
LekaFEV [45]

Answer:

C

Step-by-step explanation:

use y=mx+c

follow the flow

7 0
3 years ago
Read 2 more answers
Other questions:
  • We have 10 boxes filled with lots of white balls. We additionally have 60 black balls. We want to distinguish boxes by placing d
    9·1 answer
  • The city police are trailing the movements of a suspect through the GPS tracker on his phone. The suspect's apartment is represe
    13·1 answer
  • A student needs to make a circular cardboard piece with an area between 154 square inches and 616 square inches. The function f(
    9·1 answer
  • What is 12 14/15 as a decimal
    9·2 answers
  • How many distinct permutations can be formed using the letters of the word “TALLAHASSEE”?
    11·1 answer
  • I need helpPPPPPPPPPPPPPPPPP
    11·1 answer
  • randy needs to save 2550$ for a vacation. he has 6 months to save the money. how much money must he save each month?
    12·2 answers
  • ANSWER RIGHT NOW PLS!!<br> Add. −12+(−20) Enter your answer in the box.
    14·1 answer
  • Write an exponential decay function to model the situation. Compare the average rates of change over the given intervals.
    14·1 answer
  • -5 1/2+6 3/4+(-4 1/4)=
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!