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3 years ago

Meg has a can that contains 80% of orange juice and the rest water. The can has 1 liter of water.

1 answer:

4 0

x is the total number of liters of orange juice and water combined. 80% of the mixture is pure orange juice which means 20% of it is water. Therefore, x 20/100 = 1 is the equation in single variable that can be used to find x. and 20/100 is 1/5 so there are 5 total liters in all and 5-1 is 4, so there are 4 liters of orange juice in the can. Hope this helps :)

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The area of the triangle is 216 square inches.

natali 33 [55]

Step-by-step explanation:

1/2*216*height

2/216=18

so height =18.

8 0

2 years ago

In a local kickball league, the ratio of college graduates with a graduate degree to non-college graduates is 1:8, and the ratio

qaws [65]

Answer:

3 / 19

Step-by-step explanation:

Given the following :

ratio of college graduates with a graduate degree to non-college graduates = 1:8

ratio of college graduates without a graduate degree to non-college graduates is 2:3

If college graduate with a degree = A

College graduate without a degree = B

Non-college graduate = C

College graduate to non college graduate = A:C

College graduate without degree to non college graduate = B:C

A:C = 1:8 - - - (1) ; B:C = 2:3 - - - (2)

Combining the two ratios :

To do so : the proportion of non college graduate should be the same in both ratios

To do this, multiply (1) by 3 and (2) by 8

A:C = 3 : 24

B:C = 16 : 24

combining both, we have :

A:B:C = 3:16:24

If one random college graduate is picked, what is the probability that they hold a graduate degree?

Total proportion of college graduate : (college graduates with degree + college graduates without degree)

A + B = (3 + 16) = 19

Proportion who hold a graduate degree = A = 3

Probability = require outcome / Total possible outcomes

Thus :

P = A / (A +B)

= 3/19

8 0

3 years ago

What is the greatest common factor of 30, 45, and 35?

Bess [88]

Answer:

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

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

3 years ago

Read 2 more answers

7. Simplify (12p27 (2p2q6)

7nadin3 [17]

Answer: 7776p^2q

Step-by-step explanation:

8 0

3 years ago