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77julia77 [94]
2 years ago
9

A local health care company wants to estimate the mean weekly elder day-care cost. A sample of 10 facilities shows a mean of $25

0 per week, with a standard deviation of $25. What is the 90% confidence interval for the population mean?
Mathematics
1 answer:
laiz [17]2 years ago
8 0

Answer:

Step-by-step explanation:

Mean "X"=250

s = 25

n=10

Because Standard deviation is unknown and sample size is small, we must employ the T-distribution

df=n-1 = 10-1

df=9

For 90% confidence, t = 1.833

E=t*s/\sqrt{n\\ = 1.833*(25/\sqrt{10})

E=14.49

The 90% confidence interval is X±E=250±14.49 or 235.51, 264.49

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How do you round 38,288 to the nearest 100
lys-0071 [83]

Consider the number 38,288

Now, we have to round this number to the nearest hundreds place.

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Therefore, we will add '1' to the digit at hundreds place.

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8 0
1 year ago
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The ratio of the lengths of the sides of △ABC is 3:6:7. M, N, and K are the midpoints of the sides. Perimeter of △MNK equals 7.4
artcher [175]

Answer:

AB=2.775

BC=5.55

CA=6.475

Step-by-step explanation:

Since midpoints split their sides in half, we can see that the triangle MNK formed by the midpoints will be half the perimeter of the triangle ABC. Since P of MNK = 7.4, we know that the perimeter of ABC = 7.4 * 2, which is 14.8. Now we can split the 14.8 so that it follows the ratio.

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8 0
2 years ago
Jackie bought a 3-pack of tubes of glue. She used 0.27 ounce of the glue from the 3-pack
brilliants [131]

Answer:

0.54 ounces in each tube

Step-by-step explanation:

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5 0
2 years ago
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A clock is showing the time as exactly 3:00 p.m. and 25 s. Because a full minute has not passed since 3:00, the hour hand is poi
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I had to read this a couple of times to see this was not about time, but is a right triangle problem. If the hour hand is at three, let us consider that a leg of a right triangle, we will consider the hypotenuse as the second hand.
Sketch the picture. 

The hypotenuse is 9 cm. the angle is found by: 

the (hour hand) is pointing directly at the 12. I expect you mean the minute hand. The angle between the minute hand and the second hand is 25/60*360 = 150 which make the angle between the hour hand and the second hand. 150 -90 =60 

so the second hand and the hour hand gives us a right triangle, with a 60 degree angle and a hyp. of 9 cm. 

cos 60 = x/9 

9 cos 60 =x 
<span>
x = 4.5 cm

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
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2 years ago
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