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grigory [225]
3 years ago
5

A circle is inscribed in a square. Each side of the square is 10 centimeters long.

Mathematics
1 answer:
xeze [42]3 years ago
5 0

Answer:

25pi

Step-by-step explanation:

The side of the square tailors the diameter of the circle; hence the diameter

D =10cm

From Area of Circle , A = pi * r^2

A = pi * (10/2) ^2

A= pi * 25= 25 pi

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A Simple random sample of 100 8th graders at a large suburban middle school indicated that 84% of them are involved with some ty
Setler [38]

Answer: a) (0.755, 0.925)

Step-by-step explanation:

Let p be the population proportion of 8th graders are involved with some type of after school activity.

As per given , we have

n= 100

sample proportion: \hat{p}=0.84

Significance level : \alpha= 1-0.98=0.02

Critical z-value : z_{\alpha/2}=2.33  (using z-value table)

Then, the 98% confidence interval that estimates the proportion of them that are involved in an after school activity will be :-

\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

i.e. 0.84\pm (2.33)\sqrt{\dfrac{0.84(1-0.84)}{100}}

i.e. \approx0.84\pm 0.085

i.e. (0.84- 0.085,\ 0.84+ 0.085)=(0.755,\ 0.925)

Hence, the 98% confidence interval that estimates the proportion of them that are involved in an after school activity : a) (0.755, 0.925)

3 0
3 years ago
The price of patatoes first increased by 10% and then fell by 8%. Find the net percentage change in the price of patatoes.
timofeeve [1]

Answer:

10%-8%=2

2/8=0.25

0.25×100=25

The net percentage is 25%

6 0
3 years ago
What is the code of this math puzzle (amount of Miles)
Marta_Voda [28]
Just work with it as seperate triangles and then add them up.

8 0
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What is the product? 7⋅(−4)⋅(−6) −168 −3 17 168
Lunna [17]

Answer:

The Product of 7⋅(−4)⋅(−6) −168 −3 is<em> </em><u>-3</u>

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How about this (see attached image):

Use the four cuts as shown in the image (red lines).

Then assemble 5 equal squares by the numbers: 1 center square and the rest are pieced together using two pieces as shown. All five together add up to the same area as original square because we use all pieces.

The way one gets a hint toward a solution is to see how an area of a square of length 1 can be split into 5 equal square areas:

1^2 = 5\cdot x^2\\x = \frac{\sqrt{5}}{5} = \sqrt{\frac{2^2}{5^2}+\frac{1^2}{5^2}}

which indicates we need to find a a triangle with sides 2 and 1 to get the hypotenuse of the right length. That gave rise to the cut pattern (if you look carefully, there are triangles with those side lengths).

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