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Verdich [7]
2 years ago
14

The endpoints of EF¯¯¯¯¯¯¯¯ are E(−4,12) and F(3,15). Find the coordinates of the midpoint M..

Mathematics
1 answer:
Ray Of Light [21]2 years ago
5 0

Answer:

(-1/2, 27/2)

Step-by-step explanation:

Midpoint formula: (x^1 +x^2/ 2, y^1 +y^2/ 2)

(-4 +3 /2, 12+15/ 2) -> (-1/2, 27/2)

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Leila is considering buying her first home. The house she is interested in buying is priced at $125,000. Leila can put down a $2
PIT_PIT [208]

Answer:

* The monthly mortgage payment is $629.53 ⇒ answer C

Step-by-step explanation:

* Lets explain how to solve the problem

- Leila is considering buying her first home

- The house she is interested in buying is priced at $125,000

∴ She can put $20000 down  payment

* Lets find the balance to be paid off on mortgage

∴ The balance = 125000 - 20000 = 105000

- She qualifies for a 30-year mortgage at 6%

* Lets find the rule of the monthly payment

∵ pmt=\frac{\frac{r}{n}[P(1+\frac{r}{n})^{tn}]}{(1+\frac{r}{n})^{tn}-1} , where  

- pmt is the monthly mortgage payment

- P = the initial amount  

- r = the annual interest rate (decimal)

- n = the number of times that interest is compounded per unit t

- t = the time the money is invested or borrowed for

∵ P = 105000

∵ r = 6/100 = 0.06

∵ n = 12

∵ t = 30

∴ pmt=\frac{\frac{0.06}{12}[105000(1+\frac{0.06}{12})^{30(12)}}{(1+\frac{0.06}{12})^{30(12)}-1}

∴  pmt=\frac{0.005[105000(1.005)^{360}]}{(1.005)^{360}-1} =629.528

* The monthly mortgage payment is $629.53

3 0
2 years ago
Read 2 more answers
Periodically a bottling company gets complaints that their bottles are not holding enough liquid. To test this claim the bottlin
kompoz [17]

Answer:

The null hypothesis was not rejected at 1% and 5% level of significance, but was rejected at 10% level of significance.

Step-by-step explanation:

The complaints made by the customers of a bottling company is that their bottles are not holding enough liquid.

The company wants to test the claim.

Let the mean amount of liquid that the bottles are said to hold be, <em>μ₀</em>.

The hypothesis for this test can be defined as follows:

<em>H₀</em>: The mean amount of liquid that the bottles can hold is <em>μ₀,</em> i.e. <em>μ</em> = <em>μ₀</em>.

<em>Hₐ</em>: The mean amount of liquid that the bottles can hold is less than  <em>μ₀,</em> i.e. <em>μ</em> < <em>μ₀</em>.

The <em>p</em>-value of the test is, <em>p</em> = 0.054.

Decision rule:

The null hypothesis will be rejected if the <em>p</em>-value of the test is less than the significance level. And vice-versa.

  • Assume that the significance level of the test is, <em>α</em> = 0.01.

        The <em>p</em>-value = 0.054 > <em>α</em> = 0.01.

        The null hypothesis was failed to be rejected at 1% level of

        significance. Concluding that the mean amount of liquid that the

         bottles can hold is <em>μ₀</em>.

  • Assume that the significance level of the test is, <em>α</em> = 0.05.

        The <em>p</em>-value = 0.054 > <em>α</em> = 0.05.

        The null hypothesis was failed to be rejected at 5% level of

        significance. Concluding that the mean amount of liquid that the

         bottles can hold is <em>μ₀</em>.

  • Assume that the significance level of the test is, <em>α</em> = 0.10.

        The <em>p</em>-value = 0.054 < <em>α</em> = 0.10.

        The null hypothesis will be rejected at 10% level of

        significance. Concluding that the mean amount of liquid that the

         bottles can hold is less than <em>μ₀</em>.

5 0
3 years ago
19 points if uu help meeee
DochEvi [55]

Answer:

It is 21

Step-by-step explanation:

It is not hard all you got to do is 25+6=21 hope it helps plz Mark me brainlest :)

4 0
2 years ago
Read 2 more answers
HELP!!!!!!!!!!!!!!!!!!!!!HELP ME PLEASE I WILL GIVE YOU 50 ponts
LiRa [457]

Answer:

D

Step-by-step explanation:

-3/8 converted to a decimal is -0.375

The absolute value of -0.5 is 0.5

hence, 0.5 is larger than -0.375

so the answer is d

hope this helps and is right :)

6 0
3 years ago
Read 2 more answers
I need help answering these questions as well if someone would
svetoff [14.1K]
#7 is about 4 minutes

6 0
3 years ago
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