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Agata [3.3K]
2 years ago
9

22 customers are eating dinner at an Italian restaurant. Of the 22 customers, 18 order pizza, 10 order a salad, and 8 order pizz

a and a salad. Using this information, answer each of the following questions.\
Let A be the event that a randomly selected customer orders pizza and B be the event that a randomly selected customer orders a salad.

What is P(A), the probability that a customer orders pizza?
What is P(B), the probability that a customer orders a salad?
What is P(A and B), the probability that a customer orders pizza and a salad?
What is P(A or B), the probability that a customer orders pizza or a salad?
Mathematics
1 answer:
Ne4ueva [31]2 years ago
4 0

Answer:

Step-by-step explanation:

P(A) = 18/22

P(B) = 10/22

P(A and B) = 8/22

P(A or B) = 18/22 * 10/22 = 0.37

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Kellianne lined up the interior angles of the triangle along line p below.
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Answer:1,4,5,2

Step-by-step explanation:

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Ms. berkin is dividing her 4 1/2-foot by 6-foot bulletin board into 4 sections with ribbon stretched from each corner to the opp
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Answer:

15 feet.

Step-by-step explanation:

A bulletin board has been shown in the figure below.

Where the width of the board AB = DC = 4\frac{1}{2} = 4.5 feet

and the length of the board AD = BC = 6 feet

As Ms. Berkin is dividing the board by stretching the ribbons to the opposite corners so the length of ribbons will be AC and BD.

In right angle triangle <em>ADC</em>, using Pythagorean Theorem,

AC^2=AD^2+DC^2  = 6^2+4.5^2=36+20.25=56.25

AC= \sqrt{56.25} = 7.5 feet

Similarly in triangle <em>BDC</em>,

BD^2=BC^2+DC^2 = 6^2+4.5^2=36+20.25 =56.25

BD=\sqrt{56.25} = 7.5 feet

Thus, total length of the ribbon used = AC + BD = 7.5 + 7.5 = 15 feet

3 0
2 years ago
A feather blew out of a bird nest 10 feet in the air. It drifted to the ground at a constant rate of 2 feet per second. Write an
bonufazy [111]
The answer would be 10/2=5
6 0
1 year ago
Banerjee Inc. wants to maintain a target capital structure with 30% debt and 70% equity. Its forecasted net income is $825,000,
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The capital budget will be supported with 30% debt and 70% equity. Since the company's income will be $825,000 this is the maximum equity that can be put towards the capital budget and therefor is matched in the ratio 70:30 by borrowings. If $825000 is 70%, divide that (825,000/.70) you’ll get the total maximum budget of $1,178,571 which is letter c. To get the 30%, just deduct the $825,000 to $1,178,571, you’ll get $353,571. To make sure your answer is correct, add up the 70% and 30% values and if they make the original total value, then the answer is correct. $825,000 + $353,571 = $1,178,571

6 0
2 years ago
A website randomly selects among 10 products to discount each day. The color printer of interest to you is discounted today. Det
Varvara68 [4.7K]

Answer:

a) P = 0.039

b) The expected number of days is 10 days.

Step-by-step explanation:

The most appropiate distribution to use in this case is the geometric distribution, in order to calculate the probability of a success after k failure trials.

The probability of success, as each of the 10 products are assumed to have fair probabilities, is:

p=1/10=0.1

Then, the probability that our product is not selected any given day is:

q=1-p=1-0.1=0.9

a) The probability that exactly this product is selected exactly 10 days from now is the probability that is not selected (probbility q) for the next 9 days and selected (probability p) at the 10th day:

P=q^9p^1=0.9^9\cdot0.1=0.3874\cdot0.1=0.039

b) The expected number of days is calculated as:

E(X)=\dfrac{1}{p}=\dfrac{1}{0.1}=10

6 0
2 years ago
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