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Tatiana [17]
3 years ago
6

Two variables have a correlation coefficient equal to +0.55 from a sample size of 8. Which one of the following statements descr

ibes the results of the hypothesis test that the population correlation coefficient is greater than zero using α = 0.05?a. Because the test statistic is greater than the critical value, we fail to reject the null hypothesis and conclude that the population correlation coefficient is not greater than zero.b. Because the test statistic is greater than the critical value, we can reject the null hypothesis and conclude that the population correlation coefficient is greater than zero.c. Because the test statistic is less than the critical value, we fail to reject the null hypothesis and conclude that the population correlation coefficient is not greater than zero.d. Because the test statistic is less than the critical value, we can reject the null hypothesis and conclude that the population correlation coefficient is not greater than zero.
Mathematics
1 answer:
balandron [24]3 years ago
4 0

Answer:

Step-by-step explanation:

Download docx
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Can someone simply explain how to find the area of a triangular prism ? step by step ^^;
Vika [28.1K]
The formula:
A = bh + L (s1 + s2 + s3)

A: area
b: base
h: height
L: length
s1: side 1 (cross-sectional area)
s2: side 2 (cross-sectional area)
s3: side 3 (cross-sectional area)

Here’s an example (see attached image)

A = (4 x 6) + (12 x [7 + 7 + 4])
A = (24) + (12 x 18)
A = 24 + 216
A = 240cm^2

I hope this helped? Comment if you need more explanation or anything!

8 0
3 years ago
Divide to find two equivalent fraction 60/100
never [62]

Answer:

6/10 and 12/20

Step-by-step explanation:

60/100 devided by 10 is 6/10 and 60/100 devided by 5 is 12/20 hope this helps!

6 0
4 years ago
___________is an expected error based only on the observations limited to a sample taken from a population
IgorLugansk [536]

━━━━━━━☆☆━━━━━━━

▹ Answer

<em>1. Sampling error</em>

▹ Step-by-Step Explanation

A sampling error is an error in statistics. This means that not the whole population is given a chance to be sampled, which results in this error.

Hope this helps!

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Brainliest is greatly appreciated!

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3 0
3 years ago
I have no idea what this is.
Natalka [10]

Answer:

....

Step-by-step explanation:

6 0
3 years ago
Looking at the top of tower A and base of tower B from points C and D, we find that ∠ACD = 60°, ∠ADC = 75° and ∠ADB = 30°. Let t
katrin2010 [14]

Answer:

\text{Exact: }AB=25\sqrt{6},\\\text{Rounded: }AB\approx 61.24

Step-by-step explanation:

We can use the Law of Sines to find segment AD, which happens to be a leg of \triangle ACD and the hypotenuse of \triangle ADB.

The Law of Sines states that the ratio of any angle of a triangle and its opposite side is maintained through the triangle:

\frac{a}{\sin \alpha}=\frac{b}{\sin \beta}=\frac{c}{\sin \gamma}

Since we're given the length of CD, we want to find the measure of the angle opposite to CD, which is \angle CAD. The sum of the interior angles in a triangle is equal to 180 degrees. Thus, we have:

\angle CAD+\angle ACD+\angle CDA=180^{\circ},\\\angle CAD+60^{\circ}+75^{\circ}=180^{\circ},\\\angle CAD=180^{\circ}-75^{\circ}-60^{\circ},\\\angle CAD=45^{\circ}

Now use this value in the Law of Sines to find AD:

\frac{AD}{\sin 60^{\circ}}=\frac{100}{\sin 45^{\circ}},\\\\AD=\sin 60^{\circ}\cdot \frac{100}{\sin 45^{\circ}}

Recall that \sin 45^{\circ}=\frac{\sqrt{2}}{2} and \sin 60^{\circ}=\frac{\sqrt{3}}{2}:

AD=\frac{\frac{\sqrt{3}}{2}\cdot 100}{\frac{\sqrt{2}}{2}},\\\\AD=\frac{50\sqrt{3}}{\frac{\sqrt{2}}{2}},\\\\AD=50\sqrt{3}\cdot \frac{2}{\sqrt{2}},\\\\AD=\frac{100\sqrt{3}}{\sqrt{2}}\cdot\frac{ \sqrt{2}}{\sqrt{2}}=\frac{100\sqrt{6}}{2}={50\sqrt{6}}

Now that we have the length of AD, we can find the length of AB. The right triangle \triangle ADB is a 30-60-90 triangle. In all 30-60-90 triangles, the side lengths are in the ratio x:x\sqrt{3}:2x, where x is the side opposite to the 30 degree angle and 2x is the length of the hypotenuse.

Since AD is the hypotenuse, it must represent 2x in this ratio and since AB is the side opposite to the 30 degree angle, it must represent x in this ratio (Derive from basic trig for a right triangle and \sin 30^{\circ}=\frac{1}{2}).

Therefore, AB must be exactly half of AD:

AB=\frac{1}{2}AD,\\AB=\frac{1}{2}\cdot 50\sqrt{6},\\AB=\frac{50\sqrt{6}}{2}=\boxed{25\sqrt{6}}\approx 61.24

3 0
3 years ago
Read 2 more answers
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