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4 years ago

9

Rewrite this expression as a single power 12^5•12^7/-12^4

1 answer:

9966 [12]4 years ago

4 0

Answer:-12^8

Step-by-step explanation:

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Why does your monthly payment go up if you reduce your down payment

charle [14.2K]

Answer:

When you buy expensive items with a loan, you often need to make a down payment to cover a portion of the purchase price. That initial payment is often critical for getting approved, and it can affect your borrowing costs throughout the life of your loan. As a result, it’s wise to understand how down payments work so you can choose the right down payment amount.

3 0

3 years ago

An automobile manufacturer has discovered that 20% of all the transmissions it installed in a particular style of truck are defe

Hatshy [7]

Answer:

0.148 = 14.8% probability that they will need to order at least one more new transmission

Step-by-step explanation:

For each transmission, there are only two possible outcomes. Either it is defective after a year of use, or it is not. The probability of a transmission being defective is independent of any other transmission. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

20% of all the transmissions it installed in a particular style of truck are defective after a year of use.

This means that $p = 0.2$

Sold seven trucks:

This means that $n = 7$

It has two of the new transmissions in stock. What is the probability that they will need to order at least one more new transmission?

This is the probability that at least 3 are defective, that is:

$P(X \geq 3) = 1 - P(X < 3)$

In which

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)$

So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{7,0}.(0.2)^{0}.(0.8)^{7} = 0.2097$

$P(X = 1) = C_{7,1}.(0.2)^{1}.(0.8)^{6} = 0.3670$

$P(X = 2) = C_{7,2}.(0.2)^{2}.(0.8)^{5} = 0.2753$

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.2097 + 0.3670 + 0.2753 = 0.852$

$P(X \geq 3) = 1 - P(X < 3) = 1 - 0.852 = 0.148$

0.148 = 14.8% probability that they will need to order at least one more new transmission

6 0

3 years ago

How to find the coordinates of the midpoint of a segment with the given endpoints?

inn [45]

Answer:

see explanation

Step-by-step explanation:

given the endpoints of a line segment

(x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ $\frac{1}{2}$ (x₁ + x₂), $\frac{1}{2}$ (y₁ + y₂) ]

For example

consider the endpoints (4, 2) and (6, - 4)

midpoint = [ $\frac{1}{2}$ (4 + 6), $\frac{1}{2}$ (2 - 4)] = (5, - 1)

5 0

3 years ago

K-12.7=3.24<br> Solve for k<br> K=

DedPeter [7]

Answer:

k = 15.94

Step-by-step explanation:

3 0

3 years ago

Solve for n. 5/30= n/60

drek231 [11]

N=10 ...................................

6 0

3 years ago

Read 2 more answers