(3^2 +4) -6+4=<br><br> {^ means power to...}

When solving a compound inequality. Micah wrote the solution as x> or equal to 50 OR x>or equal to 75. What is a simpler w

REY [17]

Answer:

The best way of writing this answer in an inequality pattern is 50 ≤ x ≥ 70

Step-by-step explanation:

The variable "x" is said to be greater than or equal to 50, that means that x could be 50, 51, 52, 53, 54......to infinity, all these values are true for x.

The second solution said x is greater or equal to 70. This also means that x could be 70, 71, 72, 73, ......... to infinity.

The inference that can be drawn from here is that x actually started from 50, so anything lesser than 50 is lesser than x, so 50 ≤ x. We can join the two answers together to get a range in a form like: 50 ≤ x ≥ 70

4 0

3 years ago

What is the midpoint of the segment shown below?

Bogdan [553]

C. 5/2, 3 this is the answer

3 0

3 years ago

Read 2 more answers

The average score of all golfers for a particular course has a mean of 75 and a standard deviation of 4. Suppose 64 golfers play

Vilka [71]

Answer:

0.0228 = 2.28% probability that the average score of the 64 golfers exceeded 76.

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 normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, 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 $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

$\mu = 75, \sigma = 4, n = 64, s = \frac{4}{\sqrt{64}} = 0.5$

Find the probability that the average score of the 64 golfers exceeded 76.

This is 1 subtracted by the pvalue of Z when X = 64.

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

By the Central Limit Theorem

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

$Z = \frac{76 - 75}{0.5}$

$Z = 2$

$Z = 2$ has a pvalue of 0.9772

1 - 0.9772 = 0.0228

0.0228 = 2.28% probability that the average score of the 64 golfers exceeded 76.

6 0

3 years ago

Which sampling method is generally the weakest

Rudiy27

The answer to that question is Random Sampling

4 0

3 years ago

Read 2 more answers

A small, upscale boutique examines the income of 10 random households to determine if the community will be a good location for

USPshnik [31]

The correct answer for the question that is being presented above is this one: "D) The boutique will not locate a store in a community where everyone does not make at least $100,000. " The likely reason that the boutique chooses not to locate in the community is that the boutique will not locate a store in a community where everyone does not make at least $100,000.

7 0

3 years ago

(3^2 +4) -6+4= {^ means power to...}