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3 years ago

How do you translate 39% of 72 into an equation with out solving

Mathematics

1 answer:

finlep [7]3 years ago

7 0

Turn 39% into a decimal
0.39

"of" means to multiply

so we get

0.39 * 72 = x

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Use the null hypothesis H0 : μ = 98.6, alternative hypothesis Ha: μ < 98.6, and level of significance α = 0.05. 98 99.6 97.8

andrezito [222]

Answer:

The t-score is -1.8432

Step-by-step explanation:

We are given the following in the question:

98, 99.6, 97.8, 97.6, 98.7, 98.4, 98.9, 97.1, 99.2, 97.4, 99.1, 96.9, 98.8, 99.9, 96.8, 97, 98.7, 97.6, 98.7, 98.2

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{1964.4}{20} = 98.22$

Sum of squares of differences = 16.152

$s = \sqrt{\dfrac{16.152}{49}} = 0.922$

Population mean, μ = 98.6

Sample mean, $\bar{x}$ = 98.22

Sample size, n = 20

Sample standard deviation, s = 0.922

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 98.6\\H_A: \mu < 98.6$

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{98.22 - 98.6}{\frac{0.922}{\sqrt{20}} } = -1.8432$

The t-score is -1.8432

7 0

2 years ago

Consider the null hypothesis, H0: µ = 4,000, at the 1% level of significance. If the z-test statistic is calculated to be 6.00,

kow [346]

Answer:

Option B) Reject null hypothesis

Step-by-step explanation:

We are given the following in the question:

We are given the null hypothesis:

$H_0 = 4,000$

$\alpha = 0.01$

$z_{stat} = 6.00$

Two tailed z-test

Now, $z_{critical} \text{ at 0.01 level of significance } = \pm 2.58$

Since,

The calculated z-statistic does not lie in the acceptance region, we fail to accept and reject the null hypothesis.

Left-tailed z-test

Now, $z_{critical} \text{ at 0.01 level of significance } = -2.58$

Since,

$z_{stat} > z_{critical}$

We fail to accept and reject the null hypothesis.

Right-tailed z-test

Now, $z_{critical} \text{ at 0.01 level of significance } = 2.58$

Since,

$z_{stat} > z_{critical}$

We fail to accept and reject the null hypothesis.

7 0

3 years ago

How do you make a fraction that’s greater than one or just a fraction into a mixed number?

sergiy2304 [10]

Answer:

You multiply the denominator and the whole number then add the numerator.

Step-by-step explanation:

Example: $3\frac{2}{4}$

You multiply 3 and 4

3*4=12

Then add the numerator

12+2=14

The final answer would be

$\frac{14}{4}$

6 0

3 years ago

A submarine was 600 feet

SOVA2 [1]

Answer: Down below

Step-by-step explanation:=(600-250)m=350m

3 0

3 years ago

Read 2 more answers

Is the solution to the inequality?<br><br> 1/4+x < 5/6

klemol [59]

Solving the inequality: $\frac{1}{4}+x$ we get $x$

Step-by-step explanation:

We need to solve the inequality: $\frac{1}{4}+x$

Solving:

$\frac{1}{4}+x$

Adding -1/4 on both sides:

$\frac{1}{4}+x-\frac{1}{4}$

So, solving the inequality: $\frac{1}{4}+x$ we get $x$

Keywords: Solving the inequality

Learn more about Solving the inequality at:

#learnwithBrainly

3 0

3 years ago