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4 years ago

Find the unknown lengths of the sides of each triangle.

Mathematics

1 answer:

irga5000 [103]4 years ago

8 0

1. B is 4 and c is 8
2. A and b are 5square root of 2
4. B is 7 and c is 14
5. A and b is 6 square root of 2

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Lina rolled a die. What is the probability that she got 3?

erastova [34]

1/6 (if it’s a regular dice you’re talking about.

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3 years ago

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What is 0.4to the power of 6

maxonik [38]

0.4^6 is 0.004096

hope it helps

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3 years ago

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Among 8 PS4s, four are good and four have defects. Unaware of this, a customer buys 5 PS4s.

astraxan [27]

Answer:

(a) The probability of exactly 2 defective PS4s among them is 0.3125.

(b) The probability that exactly 2 are defective given that at least 2 purchased PS4s are defective is 0.3846.

Step-by-step explanation:

Let X = number of defective PS4s.

It is provided that 4 PS4s of 8 are defective.

The probability of selecting a defective PS4 is:

$P(X)=p=\frac{4}{8}=0.50$

A customer bought n = 5 PS4s.

The random variable X follows a Binomial distribution with parameters n = 5 and p = 0.50.

The probability function of a Binomial distribution is:

$P(X=x)={n\choose x}p^{x}(1-p)^{n-x};\ x=0, 1, 2, 3...$

(a)

Compute the probability of exactly 2 defective PS4s among them as follows:

$P(X=2)={5\choose 2}(0.50)^{2}(1-0.50)^{5-2}=10\times0.25\times0.125=0.3125$

Thus, the probability of exactly 2 defective PS4s among them is 0.3125.

(b)

Compute the probability that exactly 2 are defective given that at least 2 purchased PS4s are defective as follows:

$P(X=2|X\geq 2)=\frac{P(X=2\cap X\geq2)}{P(X\geq2)} =\frac{P(X=2)}{P(X\geq 2)}$

The value of P (X = 2) is 0.3125.

The value of P (X ≥ 2) is:

$P(X\geq 2)=1-P(X$

Then the value of P (X = 2 | X ≥ 2) is:

$P(X=2|X\geq 2)=\frac{P(X=2)}{P(X\geq 2)}=\frac{0.3125}{0.8125} =0.3846$

Thus, the probability that exactly 2 are defective given that at least 2 purchased PS4s are defective is 0.3846.

6 0

4 years ago

Read 2 more answers

A cone and a cylinder have the same height and their bases are congruent circles

Anettt [7]

Answer:

$30cm^3$

Step-by-step explanation:

the volume of a cylinder is given by:

$v_{cylinder}=\pi r^2 h$

and the volume of a cone is given by:

$v_{cone}=\frac{\pi r^2 h}{3}$

since both have the same height and radius, we can solve each equation for $r^2h$ (because this quantity is the same in both figures) and then match the expressions we find:

from the cylinder's volume formula:

$r^2h=\frac{v_{cylinder}}{\pi}$

and from the cone's volume formula:

$r^2h=\frac{3 v_{cone}}{\pi}$

matching the two previous expressions:

$\frac{v_{cylinder}}{\pi} =\frac{3v_{cone}}{\pi}$

we solve for the volume of a cone $v_{cone}$ :

$v_{cone}=\frac{\pi v_{cylinder}}{3\pi} \\\\v_{cone}=\frac{v_{cylinder}}{3}$

substituting the value of the cylinder's volume $v_{cylinder}=90cm^3$

$v_{cone}=\frac{90cm^3}{3} \\\\v_{cone}=30cm^3$

5 0

3 years ago

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Ordena de menos a mayor las siguientes fracciones:

Ahat [919]

7/12 , 2/3 , 3/4 , 5/6

3 0

3 years ago