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Masja [62]
2 years ago
13

Verify identity :

s%20%7B%7D%5E%7B2%7D%20%282%20%5Calpha%20%29%20%20%3D%201" id="TexFormula1" title="2 \sin {}^{2} ( \alpha ) + \cos {}^{2} (2 \alpha ) = 1" alt="2 \sin {}^{2} ( \alpha ) + \cos {}^{2} (2 \alpha ) = 1" align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
ruslelena [56]2 years ago
7 0

Answer:

what is this? math or physics?

Step-by-step explanation:

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Explain the steps you would take to find the area of the following composite shape. (Use 3.14 for Tr.)
USPshnik [31]
The first composite shape we would need to find is the rectangle. We would use the formula length multiplied by width. The second composite shape is a hemisphere. The area of a hemisphere is Pi multiplied by the radius squared and then divide it by 2. To find the area of both of these figures, add up the area for each one and then you will get the
area of both.
4 0
2 years ago
A statistician uses Chebyshev's Theorem to estimate that at least 15 % of a population lies between the values 9 and 20. Use thi
rjkz [21]

Answer:

\mu = 14.5\\

\sigma = 5.071\\

k = 1.084

Step-by-step explanation:

given that a  statistician uses Chebyshev's Theorem to estimate that at least 15 % of a population lies between the values 9 and 20.

i.e. his findings with respect to probability are

P(9

Recall Chebyshev's inequality that

P(|X-\mu |\geq k\sigma )\leq {\frac {1}{k^{2}}}\\P(|X-\mu |\leq k\sigma )\geq 1-{\frac {1}{k^{2}}}\\

Comparing with the Ii equation which is appropriate here we find that

\mu =14.5

Next what we find is

k\sigma = 5.5\\1-\frac{1}{k^2} =0.15\\\frac{1}{k^2}=0.85\\k=1.084\\1.084 (\sigma) = 5.5\\\sigma = 5.071

Thus from the given information we find that

\mu = 14.5\\\sigma = 5.071\\k = 1.084

5 0
3 years ago
The sum of two positive integers, a and b, is at least 30. The difference of the two integers is at least 10. If b is th
Dafna11 [192]

Answer:

a + b \geq 30

b - a \geq 10

Step-by-step explanation:

Given

The sum of the two positive integer a and b is at least 30, this means the sum of the two positive integer is 30 or greater than 30, so we write the inequalities as below.

a + b \geq 30

The difference of the two integers is at least 10, if b is the greater integer then we subtract integer a from integer b, so we write the inequality as below.

b - a \geq 10

Therefore, the following system of inequalities could represent the values of two positive integers a and b.

a + b \geq 30

b - a \geq 10

6 0
3 years ago
What is the ratio of x=8y
Lemur [1.5K]
Its going to be 8  y= x/8
6 0
3 years ago
Read 2 more answers
Five friends had lunch together. Their lunch bill included these amounts: $8.79, $5.15, $11.73, $2.49, and $9.05. Estimate the t
WARRIOR [948]

Answer:

40

Step-by-step explanation:

all those numbers added equals 37.21

front end estimation is where you round to the first number on the left just ignore the decimal point in this case. so the answer would be 40

7 0
3 years ago
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