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3 years ago

Which of the following is equivalent to (a + b) (a/b)

Mathematics

1 answer:

cestrela7 [59]3 years ago

7 0

Answer:

$\frac{a^{2} + ab }{b}$

Step-by-step explanation:

(a + b) * ( $\frac{a}{b}$ ) = $\frac{a * (a+b)}{b}$ = $\frac{a^{2} + ab }{b}$

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Suppose that the probability that any particle emitted by a radioactive material will penetrate a certain shield is 0.01. If 10

AnnyKZ [126]

Answer:

a)P=0.42

b) $n\geq 297$

Step-by-step explanation:

We have a binomial distribution, since the result of each experiment admits only two categories (success and failure) and the value of both possibilities is constant in all experiments. The probability of getting k successes in n trials is given by:

$P=\begin{pmatrix}n\\ k\end{pmatrix} p^k(1-p)^{n-k}=\frac{n!}{k!(n!-k!)}p^k(1-p)^{n-k}$

a) we have k=2, n=10 and p=0.01:

$P=\frac{10!}{2!(10!-2!)}0.01^2(1-0.01)^{10-2}\\P=\frac{10!}{2!*8!}0.01^2(0.99)^{8}\\P=45*0.01^2(0.99)^8=0.42$

b) We have, $1-(1-p)^n=P$ , Here P is the probability that at least one particle will penetrate the shield, this probabity has to be equal or greater than 0.95. Therefore, this will be equal to subtract from the total probability, the probability that the particles do not penetrate raised to the total number of particles.

$1-0.99^n\geq 0.95\\0.99^n\leq 1-0.95\\0.99^n\leq 0.05\\n\geq 297$

4 0

3 years ago

Emily, Jean, and Amanda live in apartments on the 5th, 6th and 7th floors. One girl likes basketball, one likes football, and th

ss7ja [257]

Answer:

Assuming you mean baseball in stead of basketball, if must be the 5th floor.

Step-by-step explanation:

"The girl on the fifth floor thinks soccer is boring" implies that on the 5th floor lives the football or baseball fan. However, it cannot be the football fan since it is already known that she lives on 6th.

So the baseball fan, which is Jean, lives on 5th.

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4 years ago

An average response rate for a marketing letter is 4%, meaning that 4% of the people who receive the letter respond to it. A com

kherson [118]

$\frac{65}{2400} \times 100\% \\ = 2.71\%$

Answer : No, the new type of letter wouldn't be considered as a success because its response rate (2.71%) is lower than the average response rate which is 4%.

Hope this helps. - M

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3 years ago

(x^2-7x)^2+4(x^2-7x)-96 (x 2 −7x) 2 +4(x 2 −7x)−96

natita [175]

Answer:

answer...

Step-by-step explanation:

This is the answer.

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2 years ago

Write the equation of a line in slope intercept form that is parallel to the line y=1/5x -2 and goes through the point (4,7)

boyakko [2]

373738)38288.772626/

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3 years ago