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Ymorist [56]
3 years ago
7

A manufacturer of cream filled donuts collected data from its automatic filling process, the amount of cream inserted into the d

onuts is normally distributed. To make sure that the automatic filling process is on target, quality control inspectors take a sample of 25 donuts. The correct value of t* to construct a 99% confidence interval for the true mean amount of cream filling is ________. Group of answer choices 2.797 1.318 1.711 2.060 2.787
Mathematics
1 answer:
fenix001 [56]3 years ago
4 0

Answer:

The correct value is t* = 2.797.

Step-by-step explanation:

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 25 - 1 = 24

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 24 degrees of freedom(y-axis) and a  two-tailed confidence level of 1 - \frac{1 - 0.99}{2} = 0.995. So we have T = 2.797.

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Lynna [10]
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2 years ago
Mr. Gonzales is replacing a cylindrical air-conditioning duct. He estimates the radius of the duct by folding a ruler to form tw
GalinKa [24]

Answer:

  • <em><u>5.6875 in</u></em>

Explanation:

At the point of tangency, the <em>tangent </em>to a circle and the <em>radius</em> form a right triangle (the radius is perpendicular to the tangent).

Here you are given the length of the tangent (6in), and the distance from the bisected vertex to the circle (2.75 in)

I tried to upload the drawing but the tool is not allowing it now.

In the figure:

  • The length of the tangent (6 in) is one leg of the triangle
  • The distance from vertex and the circle (2.75in)  along with the radius forms the hypotenuse of the right triangle: 2.75 + r.
  • The other leg is the radius, r.

Then, you can use Pythagorean theorem:

  • (r)² + (6)² = (r +2.75)²

Solve:

  • r² + 36 =  r² + 5.5r + 7.5625
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  • 5.5r = 28.4375
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The solution is in inches: r = 5.6875 inches ← answer

4 0
3 years ago
If y varies directly as x and y = 36 when x = 4,what is the constant of variation?​
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Answer:

9

Step-by-step explanation:

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Y = KX

K = Y/X

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K = 9

7 0
3 years ago
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qwelly [4]

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Since there isn't a number to finish the second number to the equation, we know that there isn't going to be a completed answer. So, fill in the final cost with "c" as explained in the equation.

3. Write the answer.

75 + 20T = c

So, the equation to this problem is:

75 + 20T = c

Which is how to find out how much the limo costs to rent it.

5 0
3 years ago
How many days are in two years
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Hope this helps!
6 0
3 years ago
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