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nordsb [41]
3 years ago
7

A government agency was charged by the legislature with estimating the length of time it takes citizens to fill out various form

s. The agency generated an 85% confidence interval, a 90% confidence interval, and a 99% confidence interval, all of which are listed below. Which one is the 85% confidence interval?
Mathematics
1 answer:
Lorico [155]3 years ago
6 0

Answer:

The shorter range.

Step-by-step explanation:

When you think about the confidence interval you automatically think about how wide it is, in relation to its range. A typical confidence interval is generally 95%, however when it increases, it also increases the 'confidence' of the data and therefore its range.

Logically, a level of confidence of 85% will be much narrower than one of 90%, 95% or 99%, this implies that the wide range will be narrower than that of others. So things the 85% confidence interval in a multiple selection response, compared to the other three intervals, will always be the shortest.

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In ΔEFG, the measure of ∠G=90°, EF = 38 feet, and FG = 30 feet. Find the measure of ∠F to the nearest degree.
Mamont248 [21]

Answer:

∠F = 42° to the nearest degree

Step-by-step explanation:

In this question, we are asked to calculate the value of the angle.

Kindly note that since one of the angles we are dealing with in the triangle is 90°, this means that the triangle is a right-angled triangle

Please check attachment for the diagrammatic representation of the triangle

From the diagram, we can identify that the EF is the hypotenuse and the length FG is the adjacent. Thus , the appropriate trigonometric identity to use is the cosine

mathematically;

Cosine of an angle = length of adjacent/length of hypotenuse

Cos F = \frac{30}{38}\\Cos F =  0.7895\\F = Cos^{-1} 0.7895\\

F = 42.07

∠F = 42° to the nearest degree

4 0
3 years ago
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How do you find p and q?
Alborosie

Answer:

/

Step-by-step explanation:

3 0
3 years ago
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Which expression is equivalent to -30 - 8x + 50 - 2x?
Makovka662 [10]

-10x + 20 should be the right answer.

6 0
2 years ago
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Which equation represents the statement: Three times the sum of a number and 5 is –30?
castortr0y [4]

Answer:

3(n+5)=-30

Step-by-step explanation:

Three times the sum of a number and 5 is - 30

Vocabulary:

times = multiplication, represented with *

sum = addition, represented by +

unknown number = n

Three * the sum of a number and 5

The sum of a number and 5 is the same as saying n + 5

So we are multiplying 3 by n + 5

Because n is an unknown variable we have to separate the sum of n and 5 from being multiplied by 3 with parenthesis. We do this because if we want to multiply 3 by the sum of n and 5. If we put 3 * n + 5 we are only multiplying the unknown variable by 3 not including the 5 that is added to it.

So we get 3( n + 5 ) is -30

3(n+5)=-30 is the answer.

3 0
2 years ago
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I need help on this question can anyone please help me
MAVERICK [17]

9514 1404 393

Answer:

  p = -9 5/9

Step-by-step explanation:

Undo what is done to p.

Multiply by 2.

  p +10 = 4/9

Subtract 10.

  p = 4/9 -10

  p = -9 5/9

8 0
2 years ago
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