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mr_godi [17]
3 years ago
14

At a pizza shop, 70% of the customers order a pizza, 25% of the customers order a salad, and 15% of the customers order both a p

izza and a salad. If a customer is chosen at random, what is the probability that he or she orders either a pizza or a salad?
Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
6 0

Answer:

The probability that a randomly selected customer orders a pizza or a salad is 80%

Step-by-step explanation:

Let's call

P_p = the proability of someone asking for a pizza

P_s = the probability that a customer orders a salad

Pp∩s = the probability that a customer orders a pizza and a salad.

We know from the statement of the problem that:

P_p = 70% = 0.7

P_s = 25% = 0.25

Pp∩s = 15% = 0.15

We want to know the probability that a randomly selected customer will order a pizza or a salad. Then, by set theory, that probability is calculated as:

Pp∪s = P_p ∪ P_s - Pp∩s

So:

Pp∪s = Pp + Ps - Pp∩s

 Where Pp∪e is the probability that the customer orders a pizza or a salad, but not both at the same time.

Pp∪e = 0.7 + 0.25 -0.15

Pp∪e = 0.8

Finally, the probability that a randomly selected customer orders a pizza or a salad is 80%

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insens350 [35]

Answer:

5.5% probability that a randomly selected person plays​ soccer

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Desired outcomes:

People surveyed who play soccer, so D = 22

Total outcomes:

Total people surveyed, so P = 400

What is the probability that a randomly selected person plays​ soccer?

P = \frac{D}{T} = \frac{22}{400} = 0.055

5.5% probability that a randomly selected person plays​ soccer

6 0
3 years ago
On the last day of school, Mrs. Awesome gave jelly beans to her class. She gave each boy as many jelly beans as there were boys
professor190 [17]

Answer:

28 students

Step-by-step explanation:

Let x be the number of girls in the class. There were two more boys than girls in her class, then the number of boys is x + 2.

Mrs. Awesome gave each boy as many jelly beans as there were boys in the class, so each of x + 2 boys got x + 2 jelly beans, so

Number of boys = x + 2

Number of jelly beans each boy got = x + 2

Total number of jelly beans all boys got = (x + 2)(x + 2)

Mrs. Awesome gave each girl as many jelly beans as there were girls in the class, so each of x girls got x jelly beans, so

Number of girls = x

Number of jelly beans each girl got = x

Total number of jelly beans all girls got = (x)(x)

Hence,

Total number of jelly beans class got = (x + 2)(x + 2) + (x)(x)

Mrs. Awesome brought 400 jelly beans, and when she finished, she had six jelly beans left, so she gave 400 - 6 = 394 jelly beans to the calss.

So,

(x+2)(x+2)+(x)(x)=394\\ \\x^2+2x+2x+4+x^2=394\\ \\2x^2+4x+4-394=0\\ \\2x^2+4x-390=0\\ \\x^2+2x-195=0\\ \\D=2^2-4\cdot (-195)=4+780=784\\ \\\sqrt{D}=28\\ \\x_{1,2}=\dfrac{-2\pm 28}{2\cdot 1}=-15,\ 13

Number of girls cannot be negative, so x = 13, x + 2 = 15 and total number of students is 13 + 15 = 28

3 0
3 years ago
How do you determine what your grade average is based on the following grades?:
fiasKO [112]

Answer:

Test's average-95

Homework's average-96.67

Step-by-step explanation:

Average is mathematically defined as the sum of the values divided by the total number of values and is expressed as:

\bar X=\frac{1}{n}\sum{x_i}, n=number \ of \ values.

The Tests' average is calculated as:

\bar X_t=\frac{1}{n}\sum{x_i}\\\\=\frac{1}{3}(98+92+95)\\\\=\frac{1}{3}\times 285\\\\=95

Hence, the Tests' average is 95

#The Homework's average is calculated as:

\bar X_h=\frac{1}{n}\sum{x_i}\\\\=\frac{1}{3}(93+97+100)\\\\=\frac{1}{3}\times 290\\\\=96.67

Hence, the Homework's average is 96.67

5 0
3 years ago
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4+5y=20
-4 -4
------------------
5y=16
Divide by 5 on both sides

y=3.2
I hope this is what u wanted. :)
8 0
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