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2 years ago

Why would someone choose a 10-year term length on a student loan, rather than a 25-year length?

Mathematics

1 answer:

ludmilkaskok [199]2 years ago

5 0

Answer:

See below

Step-by-step explanation:

To pay the loan off more quickly.

To pay less overall interest.

Often get a lower interest rate for a shorter term loan.

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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

6 ( − 2.1 x − 2 ) + ( 7 x + 5 )

Mariana [72]

Answer: −5.6x −7

Step-by-step explanation:

8 0

3 years ago

Suppose you mark n points on a circle, where n is a whole number greater than 1. The number of segments you can draw that connec

leonid [27]

The expression for the number of segments drawn out of the n number of points in the circle is,
n² / 2 - n / 2
Substituting directly to the expression the number of points, n, which is equal to 8,
8² / 2 - 8 / 2 = 28
Thus, there are 28 segments that can be drawn from the points.

5 0

3 years ago

38% of 1200 Otto middle school students are 6th how many auto students are sixth graders

kramer

Answer:

456 students

Step-by-step explanation:

38% = 0.38

1200 x 0.38 = 456

6 0

3 years ago

Pls help!!! will give brainliest

patriot [66]

Answer:

im not very good at geometry but is there any choices you could pick from

Step-by-step explanation:

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3 years ago