HI PLASE HELP -3x-4<5

Which unit would you use to measure the amount of water in a bathtub?

zepelin [54]

Liters the rest are to small and kg is for solids

7 0

3 years ago

A research study investigated differences between male and female students. Based on the study results, we can assume the popula

garri49 [273]

Using the normal distribution and the central limit theorem, it is found that the interval that contains 99.44% of the sample means for male students is (3.4, 3.6).

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

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

It 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, which is the percentile of X.

By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

In this problem:

The mean is of $\mu = 3.5$ .

The standard deviation is of $\sigma = 0.5$ .

Sample of 100, hence $n = 100, s = \frac{0.5}{\sqrt{100}} = 0.05$

The interval that contains 95.44% of the sample means for male students is between Z = -2 and Z = 2, as the subtraction of their p-values is 0.9544, hence:

Z = -2:

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

By the Central Limit Theorem

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

$-2 = \frac{X - 3.5}{0.05}$

$X - 3.5 = -0.1$

$X = 3.4$

Z = 2:

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

$2 = \frac{X - 3.5}{0.05}$

$X - 3.5 = 0.1$

$X = 3.6$

The interval that contains 99.44% of the sample means for male students is (3.4, 3.6).

You can learn more about the normal distribution and the central limit theorem at brainly.com/question/24663213

7 0

2 years ago

Please answer this correctly

dexar [7]

Answer:

It’s a 1/2 chance it’s heads.

Step-by-step explanation:

Because there’s two sides

4 0

3 years ago

Read 2 more answers

An average of 145 people visited a 4-day exhibition on the first 3 days. Another 205 people visited the exhibition on the fourth

Alenkinab [10]

Answer:

160 visitors.

Step-by-step explanation:

Given:

An average of 145 people visited a 4-day exhibition on the first 3 days, means here average people visited in 3 days is given 145.

Average = 145

Number of people, n = 3

Another 205 people visited the exhibition on the fourth day.

To find:

What is the average number of visitors per day ?

Solution:

First of all we will find total number of people visited in 3 days:-

As we know:

$Average=\frac{Sum\ of\ observation}{number\ of\ observation}$

$145=\frac{Sum\ of\ observation}{3}\\$

Multiplying both sides by 3

$145\times3=\frac{Sum\ of\ observation}{3}\times3\\435=Sum\ of\ observations$

Thus, we found that total number of people visited in 3 days is 435 and as 205 people visited in fourth day, then total number of people increased to

435 + 205 = 640

Now, sum of total observations( total number of people ) = 640

And number of observation ( number of days ) = 4

Now, we will calculate average number of visitors visit per day :-

$Average=\frac{Sum\ of\ observation}{number\ of\ observation}$

$=\frac{640}{4} \\=160\ visitors$

Thus, the average number of visitors per day is 160 visitors.

6 0

3 years ago

What is the mean number of people in each age range? Explain

RSB [31]

To find the mean you add all the numbers then divide by how many numbers there are :

8+16+12+11+8=55

in the equation there are 5 numbers, so you divide 55 by 5 :

55÷5=11

the mean is 11

hope this helps

3 0

3 years ago

Read 2 more answers