OK so first the box and whisper box the way I did it was I drew a line and labeled the numbers 41.2, 44.8, 53.9, 64.5, 73.9, 82.7, 87.2, 85.1, 78.2, 67, 56.3, and 46 but put them I. order on the line. now you only have to put a dot for b,c,d. the median is 60.4 because the amount of numbers is positive because its 12 so you do the two middle numbers which is 56.3 and 64.5. you add those two together and divide by two which will give you 60.4. for c I think the answer are below the median and d are above the median and then e could be its warmer in the summer time and colder: n the winter or something like that
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:
x = 49
Step-by-step explanation:
This is an inverse relationship and it implies that, an increase in the value of one variable results in a subsequent decrease in the value of another variable.
Given the mathematical expression and data;
y = 1/√x
y = 7 and x = 64
First of all, we would find the constant of proportionality, k;
y = k/√x
7 = k/√64
7 = k/8
k = 7 * 8
Constant, k = 56
Now, to find the value of x when y = 8
y = k/√x
Substituting the values, we have;
8 = 56/√x
Cross-multiplying, we have;
8 * √x = 56
√x = 56/8
√x = 7
Taking the square of both sides, we have;
(√x)² = 7²
x = 49
It makes the addition easier if you combine like terms like the two 1/2s and then make them all have the denominator of 12 (changing the numerators to equal it out)
Answer:
5 .52
Step-by-step explanation:
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