All categories

3 years ago

Bilal's favorite colors are red and green.

Mathematics

2 answers:

Arte-miy333 [17]3 years ago

8 0

Answer:

P(A∪B) = 1/3

Step-by-step explanation:

Red Garments = 1 red shirt + 1 red hat + 1 red pairs of pants

Total Red Garments = 3

Green Garments = 1 green shirt + 1 green scarf + 1 green pairs of pants

Total Green Garments = 3

The total number of garments = Total Red Garments + Total Green Garments:

3 + 3 = 6

Let A be the event that he selects a green garment

P(A) = Number of required outcomes/Total number of possible outcomes

P(A) = 3/6

Let B be the event that he chooses a scarf

P(B) = 1/6

The objective here is to determine P(A or B) = P(A∪B)

Using the probability set notation theory:

P(A∪B) = P(A) + P(B) - P(A∩B)

P(A∩B) = Probability that a green pair of pant is chosen = P(A) - P(B)

= 3/6-1/6

= 2/6

P(A∪B) = 1/2 + 1/6 - 2/6

P(A∪B) = 2/6

P(A∪B) = 1/3

crimeas [40]3 years ago

7 0

Answer:

in the khan academy answer is both A and B are dependent on each other.

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Answer: 46,000

Step-by-step explanation:

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2 years ago

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Equation 1: 8x+2y=308x+2y=30

Tems11 [23]

Answer:

Part a) We should try to eliminate the y's because the coefficients are the same

Part b) The solution is the point (6,-9)

Step-by-step explanation:

Part a) Which variable pair should we try to eliminate?

we have

$8x+2y=30$ ----> equation 1

$7x+2y=24$ ----> equation 2

Solve by elimination

We should try to eliminate the y's because the coefficients are the same

Part b) What is the solution to the system?

Multiply equation 2 by -1 both sides

$-1(7x+2y)=-1(24)$

$-7x-2y=-24$ -----> equation 3

Adds equation 1 and equation 3

$8x+2y=30\\-7x-2y=-24\\-------\\8x-7x=30-24\\x=6$

Find the value of y

$8x+2y=30[/tex[tex]8(6)+2y=30$

$2y=30-48$

$y=-9$

The solution is the point (6,-9)

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3 years ago

Please help. I've been stuck on this for 3 days. I just really need help.

Marysya12 [62]

Answer:

71.5

Step-by-step explanation:

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5 0

3 years ago

The time spent waiting in the line is approximately normally distributed. The mean waiting time is 6 minutes and the variance of

White raven [17]

Answer:

0.3075 = 30.75% probability that a person will wait for more than 7 minutes.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The standard deviation is the square root of the variance.

In this problem, we have that:

$\mu = 6, \sigma = \sqrt{4} = 2$

Find the probability that a person will wait for more than 7 minutes.

This is 1 subtracted by the pvalue of Z when X = 7. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{7 - 6}{2}$

$Z = 0.5$

$Z = 0.5$ has a pvalue of 0.6915

1 - 0.6915 = 0.3075

0.3075 = 30.75% probability that a person will wait for more than 7 minutes.

7 0

2 years ago