The height of a rectangle is 2 less than it’s base x if the perimeter of the rectangle is no less than 36 cm, find the base

Write a linear equation for the table above. Use y=mx+b format

Usimov [2.4K]

Answer:

y=7x-3

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

What does 2(5*-3) =

ladessa [460]

Answer:

$-30$

Step-by-step explanation:

Step 1: Multiply inside the parenthesis

$2(5 * -3)$

$2(-15)$

Step 2: Multiply

$2(-15)$

$2 * -15$

$-30$

Answer: $-30$

7 0

3 years ago

Does 10p/2q = 5p/q I think it is not equal but it doesn't seem right.

motikmotik

Answer:

Yes, those two are equal.

Step-by-step explanation

(10p/2q)*2/2=5p/q

5 0

3 years ago

Power +, Inc. produces AA batteries used in remote-controlled toy cars. The mean life of these batteries follows the normal prob

Novay_Z [31]

Answer:

a) By the Central Limit Theorem, it is approximately normal.

b) The standard error of the distribution of the sample mean is 1.8333.

c) 0.1379 = 13.79% of the samples will have a mean useful life of more than 38 hours.

d) 0.7939 = 79.39% of the samples will have a mean useful life greater than 34.5 hours

e) 0.656 = 65.6% of the samples will have a mean useful life between 34.5 and 38 hours

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .