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Oduvanchick [21]
3 years ago
7

Your aunt bought a new car. After three months of car payments she owed a total of $22,275 to the bank for the car loan. After 1

2 months, she owed $18,900 to the bank for the car loan. What was her average payment rate on the principal of the car loan during this time?
Mathematics
1 answer:
galina1969 [7]3 years ago
3 0
The principal decreases by
  22275 -18900 = 3375
in those 9 months, so the average monthly principal payment is
  3375/9 = 375

Her average payment rate on the principal during this time is $375 per month.
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The lengths of lumber a machine cuts are normally distributed with a mean of 106 inches and a standard deviation of 0.3 inch. ​(
Vinvika [58]

Answer:

a) P(X>106.11)=P(\frac{X-\mu}{\sigma}\frac{106.11-106}{0.3})=P(z>0.37)

And we can find this probability with the complement rule:

P(z>0.37)=1-P(z

b) z =\frac{106.11- 106}{\frac{0.3}{\sqrt{44}}}=  2.431

And if we use the z score we got:

P(z>2.431) =1-P(z

Step-by-step explanation:

Let X the random variable that represent the lengths of a population, and for this case we know the distribution for X is given by:

X \sim N(106,0.3)  

Where \mu=106 and \sigma=0.3

Part a

We are interested on this probability

P(X>106.11)

And we can use the z score formula given by:

z=\frac{x-\mu}{\sigma}

And using this formula we got:

P(X>106.11)=P(\frac{X-\mu}{\sigma}\frac{106.11-106}{0.3})=P(z>0.37)

And we can find this probability with the complement rule:

P(z>0.37)=1-P(z

Part b

For this case we select a sample of n =44 and the new z score formula is given by:

z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}

And if we find the z score we got:

z =\frac{106.11- 106}{\frac{0.3}{\sqrt{44}}}=  2.431

And if we use the z score we got:

P(z>2.431) =1-P(z

6 0
3 years ago
A grocery store chain uses loyalty cards that offer discounts on sale attheir store. The probability that a randomly chosen shop
Ghella [55]
The answer is a cause
4 0
3 years ago
<img src="https://tex.z-dn.net/?f=p%28m%29%20%3D%202m%2B8" id="TexFormula1" title="p(m) = 2m+8" alt="p(m) = 2m+8" align="absmidd
Veronika [31]

9514 1404 393

Answer:

  D)  When 10 movies are streamed in a month; the total price that month is $28.

Step-by-step explanation:

Using the function definition, put 10 where you find m, then evaluate:

  p(10) = 2(10) +8 = 20 +8

  p(10) = 28

The function definition tells you this (28) is the price of streaming 10 movies in a month.

6 0
3 years ago
If school ended today what is the first thing you'd do?
Katarina [22]

Answer:

hhehehehheh

Step-by-step explanation:

1.Go to home

2.Plug in the computer

3. Play all trigger games

5 0
3 years ago
The first four terms of a sequence are shown below: 9, 5, 1, â’3 Which of the following functions best defines this sequence? f(
matrenka [14]

The function that best defines this arithmetic sequence is:

  • f(n) = f(n - 1) - 4, f(1) = 9

<h3>What is an arithmetic sequence?</h3>
  • In an <em>arithmetic sequence,</em> the <u>difference between consecutive terms is always the same</u>, called common difference d.

The recursive function that defines the sequence is:

f(n) = f(n - 1) + d

f(1) = f_0

  • In which f_0 is the first term.

In this problem, the sequence is: {9, 5, 1, -3}

  • Each term is the previous term subtracted by 4, hence d = -4.
  • The first term is 9, hence f_0 = 9.

Hence, the function is:

  • f(n) = f(n - 1) - 4, f(1) = 9

You can learn more about arithmetic sequences at brainly.com/question/6561461

5 0
2 years ago
Read 2 more answers
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