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2 years ago

John is throwing a dart at a dartboard. There are 4 rings that surround the bull's-eye ring,

Mathematics

1 answer:

barxatty [35]2 years ago

3 0

1/19 because the rings would be 1,3,4,5,6 respectively and then u add it up

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A bank in the Bay area is considering a training program for its staff. The probability that a new training program will increas

WITCHER [35]

Answer:

$P(B' \cup A') = P((A \cap B)') = 1-P(A \cap B)= 1-0.32=0.68$

See explanation below.

Step-by-step explanation:

For this case we define first some notation:

A= A new training program will increase customer satisfaction ratings

B= The training program can be kept within the original budget allocation

And for these two events we have defined the following probabilities

$P(A) = 0.8, P(B) = 0.2$

We are assuming that the two events are independent so then we have the following propert:

$P(A \cap B ) = P(A) * P(B)$

And we want to find the probability that the cost of the training program is not kept within budget or the training program will not increase the customer ratings so then if we use symbols we want to find:

$P(B' \cup A')$

And using the De Morgan laws we know that:

$(A \cap B)' = A' \cup B'$

So then we can write the probability like this:

$P(B' \cup A') = P((A \cap B)')$

And using the complement rule we can do this:

$P(B' \cup A') = P((A \cap B)')= 1-P(A \cap B)$

Since A and B are independent we have:

$P(A \cap B )=P(A)*P(B) =(0.8*0.4) =0.32$

And then our final answer would be:

$P(B' \cup A') = P((A \cap B)') = 1-P(A \cap B)= 1-0.32=0.68$

5 0

3 years ago

Which equation represents the line shown?

vredina [299]

Answer:

Step-by-step explanation:

The line is running only across coordinate points with an x coord of 2

5 0

2 years ago

The theoretical probability of choosing a red grape from a

miskamm [114]

Answer:36

Step-by-step explanation: if 2 out of 9 or red and there are 8 red that means that divide 8 by to get 4 * 9 + 36

7 0

2 years ago

Read 2 more answers

Cali bought a sweater priced a $60. If the sales tax is 9% what is the total purchase price of the sweater?

forsale [732]

Answer:

65.4

Step-by-step explanation:

60*.09 = 5.4

60+5.4 = 65.4

8 0

2 years ago

A study shows that 20% of college students pray daily in their own religious beliefs. In a group of 300 college students, find t

svetlana [45]

Answer:

0.2805

Step-by-step explanation:

Given that p = 20% = 0.2, n = 300.

The mean (μ) = np = 0.2 * 300 = 60

The standard deviation (σ) = $\sqrt{np(1-p)}=\sqrt{300*0.2(1-0.2)}=6.93$

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

$z=\frac{x-\mu}{\sigma }$

For x = 57:

$z=\frac{57-60}{6.93 } =-0.43$

For x = 62:

$z=\frac{62-60}{6.93 } =0.29$

From the normal distribution table, P(57 < x < 62) = P(-0.43 < z < 0.29) = P(z < 0.29) - P(z < -0.43) = 0.6141 - 0.3336 = 0.2805

5 0

2 years ago