What is the value of X? Make sure to show all of your work!

Mathematics

1 answer:

Artist 52 [7]3 years ago

7 0

Since this is an equilateral traingle, as indicated with the marks on every side, you can set each equation equal to 60.

7x-3=60
7x=63
x=9

You might be interested in

This question is hard and I don’t know it may u please help

zloy xaker [14]

Answer:

Mark's total salary is 22,260

Step-by-step explanation:

well, his base salary is 21,000.

if you look at the diagram, the added bonus is 6% of the base salary.

6% can be rewritten as 0.06

0.06 * 21,000 = 1,260

the total salary is just the base salary and the bonus salary added together.

21,000 + 1,260 = 22,260

4 0

3 years ago

The manufacturing of semiconductor chips produces 2% defective chips. Assume that the chips are independent and that a lot conta

Dmitriy789 [7]

Answer:

a) The approximate probability that more than 25 chips are defective is 0.1075.

b) The approximate probability of having between 20 and 30 defecitve chips is 0.44.

Step-by-step explanation:

Lets call X the total amount of defective chips. X has Binomial distribution with parameters n=1000, p =0.02. Using the Central Limit Theorem, we can compute approximate probabilities for X using a normal variable with equal mean and standard deviation.

The mean of X is np = 1000*0.2 = 20, and the standard deviation is √np(1-p) = √(20*0.98) = 4.427

We will work with a random variable Y with parameters μ=20, σ=4.427. We will take the standarization of Y, W, given by

$W = \frac{Y-\mu}{\sigma} = \frac{Y-20}{4.427}$

The values of the cummmulative distribution function of the standard normal random variable W, which we will denote $\phi$ , can be found in the attached file. Now we can compute both probabilities. In order to avoid trouble with integer values, we will correct Y from continuity.