A number has exactly eight factors. Two of the factors are 10 and 14 . what is the number, and what are all of the factors?

Write an expression that equals 40 include the Exponent

Leokris [45]

Maybe let's just do the prime factorization.

40=2x2x2x5

answer:2^3x5

4 0

3 years ago

In ABC the measure of angle a is 2X +3 the measure of angle B is 4X +2 and the measure of angle C is 2X-1 what are the measures

Novay_Z [31]

Angle A is 2x + 3
Angle B is 4x + 2
Angle C is 2x - 1

The three angles add up to 180
So:
2x + 3 + 4x + 2 + 2x - 1 = 180
Combine terms
8x + 4 = 180
Subtract 4
8x = 176
x = 22

Now we solve for the angles:
Angle A is 2(22) + 3 = 44 + 3 = 47
Angle B is 4(22) + 2 = 88 + 2 = 90
Angle C is 2(22) - 1 = 44 - 1 = 43

Quick check: 47 + 90 + 43 = 180

8 0

3 years ago

Solutions to ( x - 2 )² = -16

drek231 [11]

Answer: There are no real solutions

4 0

3 years ago

Read 2 more answers

The line width used for semiconductor manufacturing is assumed to be normally distributed with a mean of 0.5 micrometer and a st

Alinara [238K]

Answer:

There is a 0.82% probability that a line width is greater than 0.62 micrometer.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by

$Z = \frac{X - \mu}{\sigma}$

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X. The sum of the probabilities is decimal 1. So 1-pvalue is the probability that the value of the measure is larger than X.

In this problem

The line width used for semiconductor manufacturing is assumed to be normally distributed with a mean of 0.5 micrometer and a standard deviation of 0.05 micrometer, so $\mu = 0.5, \sigma = 0.05$ .