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3 years ago

What is the greatest common factor (GCF) of 40 and 12?

Mathematics

2 answers:

trapecia [35]3 years ago

8 0

i think the answer is 4.

Aleksandr-060686 [28]3 years ago

3 0

I believe the answer is 4.

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A researcher was interested in comparing the resting pulse rates of people who exercise regularly and people who do not exercise

DiKsa [7]

Answer:

We Reject H₀ if t calculated > t tabulated

But in this case,

0.83 is not greater than 2.056

Therefore, we failed to reject H₀

There is no difference between the mean pulse rate of people who do not exercise and the mean pulse rate of people who do exercise.

Step-by-step explanation:

Refer to the attached data.

The Null and Alternate hypothesis is given by

Null hypotheses = H₀: μ₁ = μ₂

Alternate hypotheses = H₁: μ₁ ≠ μ₂

The test statistic is given by

$t = \frac{\bar{x}_1 - \bar{x}_2}{\sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2} } }$

Where $\bar{x}_1$ is the sample mean of people who do not exercise regularly.

Where $\bar{x}_2$ is the sample mean of people who do exercise regularly.

Where $s_1$ is the sample standard deviation of people who do not exercise regularly.

Where $s_2$ is the sample standard deviation of people who do exercise regularly.

Where $n_1$ is the sample size of people who do not exercise regularly.

Where $n_2$ is the sample size of people who do exercise regularly.

$t = \frac{72.7 - 69.7}{\sqrt{\frac{10.9^2}{16} + \frac{8.2^2}{12} } }$

$t = 0.83$

The given level of significance is

1 - 0.95 = 0.05

The degree of freedom is

df = 16 + 12 - 2 = 26

From the t-table, df = 26 and significance level 0.05,

t = 2.056 (two-tailed)

Conclusion:

We Reject H₀ if t calculated > t tabulated

But in this case,

0.83 is not greater than 2.056

Therefore, We failed to reject H₀

There is no difference between the mean pulse rate of people who do not exercise and the mean pulse rate of people who do exercise.

4 0

2 years ago

What is an equation of the line perpendicular to y = -x -2 and through (-2, 4)

Alexxandr [17]

Answer:

I'm not sure but I think it's 0y = - x + 6

3 0

3 years ago

Brad says that if the second number is 125%of the first number then the first number must be 74%of the second number is he corre

vaieri [72.5K]

Dulu xhzuzrtizzistmYersuussutitzHezy

5 1

2 years ago

The legs of a right triangle are 6 units and 7 units. What is the length of the hypotenuse?

Ksju [112]

Answer: Square root 85 units

Step-by-step explanation:

Given: The legs of a right triangle are 6 units and 7 units.

Let h be the hypotenuse of the right triangle.

By Pythagoras theorem of right triangle, we have

$h=\sqrt{6^2+7^2}\\\\\Rightarrow\ h=\sqrt{36+49}\\\\\Rightarrow\ h=\sqrt{85}$

Hence, the length of the hypotenuse $=\sqrt{85}\text{ units.}$

Pythagoras theorem of right triangle says that the square of the hypotenuse is equal to the sum of the squares of the other two sides.

3 0

2 years ago

the claim that 20% of americans know their credit score is tested. suppose that the sample evidence causes us to fail to reject

kipiarov [429]

Answer:

Conclusion : People ≠ 20% don't know about their credit score.

Step-by-step explanation:

Hypothesis is testing a statement for its statistical significance.

Null Hypothesis (H0) implies 'no difference from tested value', Alternate hypothesis (H1) implies 'significant difference from tested value'

Let % of people knowing their credit score = CS

H0 : CS = 20

H1 : CS ≠ 20

If the null hypothesis is rejected, it implies that we reject the claim that CS i.e '% of americans knowing their credit score = 20%'. So, the alternate hypothesis is accepted, i.e we conclude that '% americans knowing their credit score ≠ 20%'.

5 0

3 years ago