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Sati [7]
3 years ago
13

Triangle J K L is shown. Angle J K L is a right angle. An altitude is drawn from point K to point M on side L J to form a right

angle. The length of K M is 6 and the length of M J is 3.
What is the length of line segment LJ?

9 units
12 units
15 units
18 units
Mathematics
1 answer:
sveticcg [70]3 years ago
8 0

Answer:

I think 9 units is the correct answer

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A hypothesis will be used to test that a population mean equals 10 against the alternative that the population mean is more than
PilotLPTM [1.2K]

Answer:

A) 2.58

B) 1.96

C) 1.65

Step-by-step explanation:

A hypothesis used to test that

H_o : \mu  = 10

against the alternatives H1 : \mu not equal to 10

if null hypothesis is true, then distribution of test statics follow

Zo = \frac{\bar x - \mu}{\frac{\sigma}{\sqrt{n}}}

for two sided alternatives  hypothesis ( H1: \mu \neq 7), then P value is

P = 2[1- \phi(\left | Zc \right |)]                          (1)

a)significance level  \alpha = 0.01

from 1 eq we get

\pi (\left | Zc \right |) = P(Zo

Therefore  \left | Zc \right | = 2.58    FROM Z TABLE

B) significance level  \alpha = 0.05

from 1st equation we get

\pi (\left | Zc \right |) = P(Zo < \left | Zc \right |) = 1 - \frac{0.05}{2}  = 0.975

Therefore  \left | Zc \right | = 1.96    FROM Z TABLE

C) significance level  \alpha = 0.10

from 1 eq we get

\pi (\left | Zc \right |) = P(Zo

Therefore  \left | Zc \right | = 1.65    FROM Z TABLE

3 0
4 years ago
When a data value is converted to a standardized scale representing the number of standard deviations the data value lies from t
laila [671]
The answer that would best complete the given statement above is Z-SCORE. <span>When a data value is converted to a standardized scale representing the number of standard deviations the data value lies from the​ mean, we call the new value a​ Z-SCORE. Hope this helps.</span>
6 0
4 years ago
a right rectangular prism has a length of 2 1/2 feet a width of 3 feet and a height of 1 1/2 ft unit cubes with side lengths of
Annette [7]
Given the original dimensions of:
2 1/2 ft, 3 ft and 1 1/2
After addition of 1/2 ft on both sides, the new dimensions will be:
3 1/2 ft, 4 ft, and 2 1/2 ft
thus the volume of the the prism will be:
Volume=length*width*height
V=3 1/2×4×2 1/2
V=35 ft³

Answer: 35 ft³
7 0
3 years ago
Find the quotient of 95 and 3.25
Lelu [443]
To find the quotient of 95 and 3.25 we may do something like this:

95 ÷ 3.25 =
= 95 ÷ 3 1/4 =
= 95 ÷ 13/4 =
= 95 * 4/13 =
= 380/13 =
= 29 3/13

I hope it'll help you :)
8 0
4 years ago
A sample of 66 obese adults was put on a low-carb diet for a year. The average weight loss was 11 pounds and the standard deviat
Illusion [34]

Answer:

The 99% lower confidence bound for the true average weight loss is 3.98 pounds.

This means that we can be 99% sure that the mean weight loss for all obese adults on a low-carb diet is positive.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.005 = 0.995, so z = 2.575

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 2.575*\frac{19}{\sqrt{66}} = 6.02

The lower end of the interval is the sample mean subtracted by M. So it is 11 - 6.02 = 3.98 pounds

The 99% lower confidence bound for the true average weight loss is 3.98 pounds.

This means that we can be 99% sure that the mean weight loss for all obese adults on a low-carb diet is positive.

7 0
3 years ago
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