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3 years ago

The Range Rule of Thumb roughly estimates the standard deviation of a data set as _______.

Mathematics

1 answer:

maw [93]3 years ago

4 0

Answer:

Option A)

$s = \dfrac{\text{Range}}{4}$

Step-by-step explanation:

Range Rule of Thumb

The range Rule of thumb states that the range is four times the standard deviation.
The standard deviation is a measure of dispersion.

$\text{Range = Maximum - Minimum}\\\text{s: Standard Deviation}\\\text{Range rule of Thumb:}\\\text{Range} = 4\times s\\\\s = \dfrac{\text{Maximum - Minimum}}{4}$

Thus, the correct answer is

$s = \dfrac{\text{Range}}{4}$

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Which value of x is a solution to x2<br> = 16?

Helga [31]

Answer:

Step-by-step explanation:

if we take the 2 that is in the R.H.S and put it in L.H.S

it becomes 16÷2=8

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3 years ago

5cosx -2sin(x/2) +7=0<br>Help me to find x step by step<br>pls

miskamm [114]

Answer:

x = 180

Step-by-step explanation:

First, you need to know

1. Double-angle formula:

cos(2x) = $cos^{2}x - sin^{2}x$

2. Pythagorean identity:

$cos^{2}x + sin^{2}x = 1$

Back to your problem, replacing the variable by the above:

$5cosx-sin\frac{x}{2}+7 = 0$

$5(cos^{2}\frac{x}{2}-sin^{2}\frac{x}{2}) - 2sin\frac{x}{2} + 7 = 0$ By Double-angle formula

$5(1 - 2sin^{2}\frac{x}{2}) - 2sin\frac{x}{2} + 7 = 0$ By Pythagorean identity

Given $y = \frac{x}{2}$

$5(1-2sin^{2}y) - 2siny + 7 = 0$

$10sin^{2}y+2siny-12=0$

$5sin^{2}y+siny-6=0$

$(5siny + 6)(siny - 1)=0$ , we know -1 < sinx < 1, for every x ∈ R

$siny = 1, y =90$

$y = \frac{x}{2}$

$x = 180$

8 0

3 years ago

Find the third side in simplest radical form:

Mkey [24]

Answer: 53

Step-by-step explanation:

They are both right legs. Use a^2+b^2=c^2.

A= 28^2 B=45^2

A= 784 B= 2025. 2025+ 784= 2809 (radical 2809) To simplified is 53

5 0

3 years ago

Plz its easy :) plzz

Thepotemich [5.8K]

Here is the answer hope it helps

8 0

3 years ago

Read 2 more answers

Consider a drug testing company that provides a test for marijuana usage. Among 310 tested subjects, results from 28 subjects w

Naily [24]

Answer:

$z=\frac{0.0903 -0.1}{\sqrt{\frac{0.1(1-0.1)}{310}}}=-0.569$

The p value for this case can be calculated with this probability:

$p_v =P(z$

Since the p value is higher than significance level we don't have enough evidence to conclude that the true proportion is significantly less than 0.1

Step-by-step explanation:

Information given

n=310 represent th sample selected

X=28 represent the subjects wrong

$\hat p=\frac{28}{310}=0.0903$ estimated proportion of subjects wrong

$p_o=0.1$ is the value to verify

$\alpha=0.05$ represent the significance level

t would represent the statistic

$p_v$ represent the p value

System of hypothesis

We want to test the claim that less than 10 percent of the test results are wrong ,and the hypothesis are:

Null hypothesis: $p\geq 0.1$

Alternative hypothesis: $p < 0.1$

The statistic is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing the info we got:

$z=\frac{0.0903 -0.1}{\sqrt{\frac{0.1(1-0.1)}{310}}}=-0.569$

The p value for this case can be calculated with this probability:

$p_v =P(z$

Since the p value is higher than significance level we don't have enough evidence to conclude that the true proportion is significantly less than 0.1

5 0

3 years ago

The Range Rule of Thumb roughly estimates the standard deviation of a data set as​ _______.

The Range Rule of Thumb roughly estimates the standard deviation of a data set as _______.