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3 years ago

Solve x + 9 = 18 - 2x

Mathematics

1 answer:

bezimeni [28]3 years ago

6 0

Add 2x to both sides,
3x+9=18
Subtract 9 from both sides. 3x=9
Divide both sides by 3.
x=3

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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

2 years ago

Solve the inequality. 2w 3 > 14 a. w 8.5 c. w 5.5

omeli [17]

If there's a plus sign in between the 2w and 3 then the answer is C. w 5.5

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3 years ago

Which statement best compares the volumes of the two rectangular prisms?

Dmitry [639]

Answer:

There is not enough information to compare the volume of the prisms.

Step-by-step explanation:

To find the volume of rectangular prisms, the length , width and height must be given. The volume of rectangular prisms is gotten by multiplying the three dimension: length, width and height which is expressed in cubic units. To compare the two volumes, the three dimensions must be given.

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3 years ago

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krok68 [10]

Answer:

$= {x}^{ - 11} {y}^{ - 11} {z}^{ - 10}$

Step-by-step explanation:

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3 years ago

Victoria buys two pair of sunglasses for $8 each. About how much did she pay for both pairs of glasses? Round to the nearest ten

kumpel [21]

Victoria buys 2 pairs of sunglasses for $8 each

1 pair of glasses = $8

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multiply

8 x 2 = 16

total amount = 16

She payed $16 for both pairs of glasses.

hope this helps

7 0

3 years ago

Read 2 more answers