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FinnZ [79.3K]
3 years ago
12

Will someone please help me out with this problem I don’t remember how to do these

Mathematics
1 answer:
forsale [732]3 years ago
3 0

First, we get the area of the whole rectangle, easy enough:

18 * 16 = 288 cm²

Now, for the area of the circle, we use the circle area formula:

Area = pi * r²

Area = 3.14 * 6² = 3.14 * 36 = 113.04cm²

Now we substract the circle area from the rectangle area:

Shaded region = 288 - 113.04 = 174.96cm²

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How do you find the normal approximation without using the continuity correction?
Dennis_Churaev [7]
Let's say you want to compute the probability \mathbb P(a\le X\le b) where X converges in distribution to Y, and Y follows a normal distribution. The normal approximation (without the continuity correction) basically involves choosing Y such that its mean and variance are the same as those for X.

Example: If X is binomially distributed with n=100 and p=0.1, then X has mean np=10 and variance np(1-p)=9. So you can approximate a probability in terms of X with a probability in terms of Y:

\mathbb P(a\le X\le b)\approx\mathbb P(a\le Y\le b)=\mathbb P\left(\dfrac{a-10}3\le\dfrac{Y-10}3\le\dfrac{b-10}3\right)=\mathbb P(a^*\le Z\le b^*)

where Z follows the standard normal distribution.
8 0
3 years ago
A line has this equation: x + 10y = 60
Jet001 [13]

Answer:

y=10x+99

Step-by-step explanation:

Find the negative reciprocal of the slope of the original line and use the point-slope formula y−y1=m(x−x1) to find the line perpendicular to x+10y=60.

6 0
2 years ago
The measure of b is..
sladkih [1.3K]

Answer:

b =21

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a  and b are the legs and c is the hypotenuse

20^2 + b^2 = 29^1

400 + b^2 =841

Subtract 400 from each side

b^2 = 441

Take the square root of each side

sqrt(b^2) = sqrt(441)

b =21

7 0
3 years ago
Read 2 more answers
Order each set of fractions as indicated: 1/9, 1/20, 1/25, 1/2, 1/50
Bond [772]
Use the least common denominator (LCD) to write these fractions as equivalent fractions with like denominators, and then compare them two at a time
3 0
3 years ago
Between which two consecutive whole numbers does \sqrt{3} 3 ​ lie? Fill out the sentence below to justify your answer and use yo
lyudmila [28]

Answer:

It lies between 5 and 6

Step-by-step explanation:

Two consecutive numbers are numbers that come after each other:

x , x + 1 are consecutive numbers.

3 \sqrt{3} = 3√3 = 5.19615242271

Therefore, from the above calculation, we can see that square root of 3 is a number that is between consecutive numbers 5 and 6

3 0
3 years ago
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