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Vika [28.1K]
3 years ago
13

26 out of the 65 magazines at the bookstore are women's magazines. What percentage of the magazines at the bookstore are women's

magazines?
Write your answer using a percent sign (%).

Mathematics
1 answer:
egoroff_w [7]3 years ago
7 0

The fraction \frac{26}{64} represents the number of women's magazines out of all the other magazines at the book store.

To find what percent of the magazines are women's magazines, we can turn \frac{26}{64} into a percent.

To write a fraction as a percent in lowest terms, first remember that a percent is a ratio of a number to 100 so to write 26/64 as a percent, we need to find a fraction equivalent to 26/64 with 100 in the denominator. We can do this by setting up a proportion.

40% is the answer

IMAGE PROVIDED.

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What is the coefficient of the x^5y^5- term in the biomial expansion of (2x-3y)^10
jasenka [17]

<u>Answer:</u>

 The coefficient of x^{5} \times y^{5} \text { is }=\left(252 \times 2^{5} \times(-3)^{5}\right)=252 \times 32 \times 243=1959552

<u>Solution: </u>

The given expression is (2 x-3 y)^{10}

As per binomial theorem, we know,

(x+y)^{n}=\sum n C_{k} x^{n-k} y^{k}

Now here a = 2x, b = (- 3y) and n = 10 and k = 0,1,2,….10

Now x^{5}\times y^5 will be the 6 term where k =5

Now, \mathrm{T}_{6}=10 \mathrm{C}_{5} \times(2 \mathrm{x})^{(10-5)} \times(-3 \mathrm{y})^{5}=10 \mathrm{C}_{5} 2^{5} \times \mathrm{x}^{5} \times(-3)^{5} \times \mathrm{y}^{5}

So, the coefficient of x^{5} \times y^{5} \text { is }=10\left(5 \times 2^{5} \times(-3)^{5}\right.

10 \mathrm{C}_{5}=\frac{10 !}{5 ! \times(10-5) !}=\frac{10 !}{5 !+5 !}=\frac{10 \times 9 \times 8 \times 7 \times 6 \times 5 !}{5 ! \times 5 !}=\frac{10 \times 9 \times 8 \times 7 \times 6}{5 \times 4 \times 3 \times 2 \times 1}=\left(\frac{30240}{120}\right)=252

The coefficient of x^{5} \times y^{5} \text { is }=\left(252 \times 2^{5} \times(-3)^{5}\right)=252 \times 32 \times 243=1959552

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Answer: The minimum reliability for the second stage be 0.979.

Step-by-step explanation:

Since we have given that

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So, it becomes:

P(overall reliability) = P(first stage ) × P(second stage)

0.97=0.99\times x\\\\\dfrac{0.97}{0.99}=x\\\\0.979=x

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Answer:

Step-by-step explanation:

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How would I figure this out ?
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