.... someone pls help me !!! pleaseee

Mathematics

2 answers:

Archy [21]3 years ago

6 0

Answer:

m=4 is the correct answer

ch4aika [34]3 years ago

5 0

Answer:

Step-by-step explanation:

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What is the slope of a line that connects points (5,8) and (10,12)

Nataly [62]

Answer:

4/5

Step-by-step explanation:

8-12 = -4

5-10 = -5

4/5

3 0

3 years ago

A Food Marketing Institute found that 29% of households spend more than $125 a week on groceries. Assume the population proporti

ella [17]

Using the normal distribution, there is a 0.7357 = 73.57% probability that the sample proportion of households spending more than $125 a week is less than 0.31.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

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

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1 - p)}{n}}$ , as long as $np \geq 10$ and $n(1 - p) \geq 10$ .

The estimate and the sample size are:

p = 0.29, n = 207.

Hence the mean and the standard error are given as follows:

$\mu = p = 0.29$ .

$s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.29(0.71)}{207}} = 0.0315$ .

The probability that the sample proportion of households spending more than $125 a week is less than 0.31 is the <u>p-value of Z when X = 0.31</u>, hence:

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

By the Central Limit Theorem:

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