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Korvikt [17]
3 years ago
9

A university has 10,000 students of which 55% are male and 45% are female. if a class of 30 students is chosen at random from th

e university population, find the mean and variance of the number of male students.
Mathematics
1 answer:
irina [24]3 years ago
8 0
Information provided:

Sample size, n = 30 students
P(Male), P(m) = 55% = 0.55
P(Female), P(f) = 45% = 0.45

Now,
Mean = nP(m) = 30*0.55 = 16.5 ≈ 17 students

Variance = (sd)^2 = nP(m)P(f) = 30*0.55*0.45 = 7.425 ≈ 8 students
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8.25-0.25x=9.75-0.75x
damaskus [11]

Answer:

1.5 + 1x

Step-by-step explanation:

8.25 - .25x = 9.75 - .75x

First, add .25 to each side.

8.25 = 9.75 + 1x

Next, subtract 8.25 from 9.75

1.5 + 1x (simplified)

3 0
4 years ago
Find the area of the shaded region if the dimensions of the unshaded region are 20ft x 35ft . use 3.14 for π as necessary.
Westkost [7]

Area of the shaded region is 1397.46 square feet.

<h3>what is area of shaded region?</h3>

The area of the shaded region is the difference between the area of the entire polygon and the area of the unshaded part inside the polygon. The area of the shaded part can occur in two ways in polygons. The shaded region can be located at the center of a polygon or the sides of the polygon.

We are to find the area of the shaded region. For that, we will divide the figure into smaller shapes, find their areas separately and then add them up.

From the given figure, we can see that there are two semi circles or say one whole circle if we combine them at the ends while 2 rectangles at the top and bottom.

Radius of circle = \frac{20+7+7}{2} = 17

Area of circle = \pi r^{2}

                      = \pi( 17)^{2}

                      = 907.92 square ft.

Area of rectangles =2×(l×b)

                              = 2×20×35

                              = 490 square ft

Then,

Area of the shaded region = 907.92 +490

                                            = 1397.46 square ft

Hence,Area of the shaded region is 1397.46 square ft.

To learn more about area of shaded region from the given link:

brainly.com/question/12930222

The above question is not complete.

#SPJ4

8 0
2 years ago
IXL Question! Brainliest + 5-star!
Nitella [24]

Step-by-step explanation:

First, count the total number of the boxes from the figure. This can be done easily by counting the number of the rows and then the number of the columns and multiplying the numbers.

=> 10 x 10 = 100 boxes.

Now, count the shaded boxes. It's 8.

Now, we calculate percentage by,

=> Selected boxes/Total boxes x 100

Putting the values,

=> 8/100 x 100

=> 8%

<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em> </em><em>:</em><em>)</em>

4 0
2 years ago
Who's brain came up with the idea for Tinker Bell?
Elena L [17]

Answer:

JM Barrie

Step-by-step explanation:

3 0
3 years ago
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( 3/4 ÷ 3/100 −23 1/2 )÷1 1/2 · 2/3 +1 1/6
Mkey [24]

Answer:

−7333 /4400

(Decimal: -1.666591)

3 0
3 years ago
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