First, you must get the r by itself.
=15
Now, multiply both sides by 3 to get the r completely by itself and get the answer.
r=45.
We have 2 different equations with which we need to work to find the answer to this. First off, the area formula is A = L * W. Our area is 12, so 12 = L * W. Then we have the Pythagorean's theorem we have to worry about, which says that . We are going to solve the area equation for L to get . What we are going to do now is sub that into the other formula in place of L to get and . In order to solve for w, we need to multiply all those terms by w^2 to get rid of the denominator. That leaves us with this then: . We need to factor that now to solve for w. We will bring everything over to the one side of the equation and set it equal to 0. . We are going to use a u substitution here to make the factoring easier. We are going to let so . Now we will factor . When we factor that we get (u - 16)(u - 9). By the Zero Product Property, either u - 16 = 0 or u - 9 = 0. u = 16 and u = 9. But remember that u = w^2, so what we really have, after we make the replacement, is so w = 4, and and w = 3. Now it just so happens that if the length is 4 and the width is 3, the product of those is 12 (the area), and if you remember, in a right triangle with a hypotenuse of 5, the side lengths will be 3 and 4. So your dimensions of the rectangle are that the length is 4 and the width is 3. There you go!
Answer:
c.) No, because Cp < 1
Step-by-step explanation:
Let us assume that there is centered in the process
and, the width is 2 times the specification
So, the width is
= 0.14
Now capability index = Cp is
= 0.58333
And the capability index should be minimum 1 for the process
And as we can see that Cp is 0.58333 which is less than 1 so the machine is not able to perform the job
Hene, the correct option is c.
The answer is 21/34.
There are in total 34 children: 20 girls + 14 boys = 34 children
There are in total 11 seniors: 7 senior girls + 4 senior boys = 11 senior children
When we have two events that do not occur together, so only one of the events can happen (<span>there is OR in a sentence), then we use the addition rule and add up probabilities of the events. We have two events not occurring together:
</span>1. The probability of selecting a boy is 14/34 (because there are 14 boys among 34 children).
2. The probability of selecting a senior is 11/34 (because there are 11 seniors among 34 children).
Now, we just need to add them up. However, we have already counted 4 senior boys in the probability of the first event and thus, must subtract the probability of selecting a senior boys (4/34):
14/34 + 11/34 - 4/34 = (14+11-4)/34 = 21/34