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ella [17]
3 years ago
5

(Hypothetical.) Suppose five measurements of the volume of a liquid yield the following data (in milliliters).

Mathematics
1 answer:
ElenaW [278]3 years ago
7 0

Answer:

(48.106 ; 53.494)

Step-by-step explanation:

Given the data:

X : 52 48 49 52 53

Sample mean = ΣX / n

n = 5

Sample mean, xbar = 254 / 5 = 50.8

Standard deviation, s = 2.17 (using calculator)

The standard error (SE) : s/√n =2.17/√5 = 0.970

The degree of freedom, df = n-1

df = 5 - 1 = 4

Tscore(0.05, 4) = 2.776

Confidence interval :

Xbar ± Tscore*standard error

50.8 ± (2.776 * 0.970)

50.8 ± 2.694

Lower boundary = 50.8 - 2.694 = 48.106

Upper boundary = 50.8 + 2.694 = 53.494

(48.106 ; 53.494)

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two circles are externally tangent to each other. One circle has a diameter of 62 yards and the distance between the centers of
maksim [4K]

Answer:

108 yards

Step-by-step explanation:

Let circle A be the circle with the 62 yard diameter

Let circle B be the circle whose diameter we are trying to solve for.

  • Externally tangent circles are circles which touch each other and share a common external tangent.
  • Circle A has a tangent of 62 yards and thus a radius ( half the diameter) of 31 yards.
  • The distance between the centers of the 2 circles is 85 yards. If you subtract the radius ( distance from the center of the circle to its circumference) of circle A then we'll only be left with the radius of circle B.
  • 85 - 31= 54 yards which is the radius of circle B
  • To get the diameter: 54 x 2 = 108 yards

8 0
3 years ago
Make a box ­and ­whisker plot of the data.<br><br> 24, 18, 29, 21, 16, 23, 13, 11
Elanso [62]
To make a box and whisker plot you must first order the data:

11, 13, 16, 18, 21, 23, 24, 29

Then find the median:

19.5

Then split the data into two sections by the median:

11, 13, 16, 18 and 21, 23, 24, 29

Now find the medians of those sets

14.5 and 23.5

With this information we can conclude Option C is the correct plot

Hope this helps!
7 0
3 years ago
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Explanation:
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3 years ago
Find the measure of the angle MAD for the rhombus ABCD?
Nina [5.8K]

Answer:

A. 53

Step-by-step explanation

You use tangent to find the angle measure of MAD.

Tan (x) = 16/12

x = 53 degrees

7 0
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The price of a notebook was $3.70 yesterday. Today, the price fell to $3.20 . Find the percentage decrease. Round your answer to
mario62 [17]

Answer:

13.5% Decrease

Step-by-step explanation:

Use formula (change in value / original value) * 100

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Original Value = 3.70

Use the formula (0.50/3.70) * 100 = 13.5 % Decrease

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