Write the expression in complete factored form. 2n^2(q+8)-(q+8)=

Find the rate of change of the area of a square with respect

Romashka [77]

Let the side length of the square be x, then A = x^2
but diagonal (z) = sqrt(2x^2)
z^2 = 2x^2
x^2 = 1/2 z^2

Thus, A = 1/2 z^2
dA/dz = 1/2 (2z) = z
The rate of change is z.

When z = 4, the rate is 4.

4 0

3 years ago

|h-3|<5 how do I solve using inequalities

Readme [11.4K]

You can find the approximate value of h in this the same way you could with an algebraic expression.

h - 3 < 5

+3

h < 8

8 0

3 years ago

the Gateway Arch in St. Luis, Missouri, weighs about 20,000 tons. Write an amount that could be the exact number of tons the Arc

alexandr402 [8]

19675 tons
possible answer

8 0

3 years ago

The number of chocolate chips in a bag of chocolate chip cookies is approximately normally distributed with mean of 1262 and a s

Andrew [12]

Answer:

a) 1186

b) Between 1031 and 1493.

c) 160

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

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

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

The Z-score measures how many standard deviations the measure is from the mean. 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, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Normally distributed with mean of 1262 and a standard deviation of 118.

This means that $\mu = 1262, \sigma = 118$