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Kazeer [188]
3 years ago
7

Place the numbers +14/3 -4 -3.95 -13/3 and -4.25 from least to greatest

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
4 0

-4.25 ,-13/3 ,-4 ,14/3

Hope this helps

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A particular psychological test is used to measure need for achievement. The average test score for all university students in O
Angelina_Jolie [31]

Answer:

Only B and C are always true.

Step-by-step explanation:

To analyse which statements are always true, we go through the process of finding confidence intervals for sample means, from the start.

Confidence Interval = (Sample mean) ± (Margin of error)

From this expression, it is evident that the margin of error determines how wide the confidence interval would be.

Sample Mean = 110 (given)

Margin of Error = (Critical value) × (Standard deviation of the distribution of sample means)

Since no information about the population standard deviation is provided, the critical value is obtained using t-distribution.

The critical value usually varies at different confidence levels and degree of freedoms.

The higher the confidence level, the higher the critical value and the higher the margin of error leading to a wider range.

Hence, a confidence interval of 95% will have a higher critical value than a confidence interval of 90%. Hence, statement C is proved once that 'for n = 100, the 95% confidence interval will be wider than the 90% confidence interval'.

After obtaining the critical value, we then obtain the standard deviation of the distribution of sample means or simply the standard error of the mean. This is given as

σₓ = σ/√n

where σ = standard deviation; which isn't given. The standard deviation might be high enough to guarantee that the Margin of error is high too for the confidence interval to contain 115 or low enough to ensure that the Margin of error is very small and the confidence interval will not contain 115.

Or the sample size might be high enough to make the standard error of the mean to be eventually small and lead to a small margin of error and the condidence interval will not contain 115.

The point is, it isn't always sure that the resulting interval.would contain 115. So, statement A isn't always true.

Then from σₓ = σ/√n,

n = sample size, a large sample size means a more narrow confidence interval and a small sample size means a wider sample size. This proves statement C.

The 95% confidence interval for n = 100 will be more narrow than the 95% confidence interval for n = 50.

Hence, Only B and C are always true.

Hope this Helps!!!

5 0
3 years ago
Keli has 26 roses and 73 carnations. She will put an assortment of 6 flowers in each vase. How many vases will she need for her
Irina18 [472]
Add 26 and 73 = 99 then divide 99 by 6 = 16.5 which is 17 vases
8 0
3 years ago
How to find measures of the numbered angles of each kite
TiliK225 [7]
A kite has 4 sides and 4 angles.
Two angles are congruent and two angles are not.
The fact that two angles are congruent may help you.
5 0
3 years ago
Karen is buying pens and pencils for the new school year. She wants to have no more than 25 writing utensils in all. She also wa
bezimeni [28]
For this case, the first thing we must do is define variables.
 We have then:
 x: number of pens
 y: number of pencils
 We now write the system of inequations:
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y  \geq  (x - 3) ^ 2

 The solution to the system of inequations is given by the shaded region.
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3 0
3 years ago
an ice cream cone has a height of 16 centimeters and a diameter 4 centimeters.What is the volume of the ice cream cone that can
Rina8888 [55]

Answer:

67.029 cm ³

Step-by-step explanation:

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so V = ¹/³ π x (4) x 16

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4 0
3 years ago
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