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mart [117]
2 years ago
11

Which

Mathematics
1 answer:
Anika [276]2 years ago
5 0
The answer is B. -1/3x + 6
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At a Noodles & Company restaurant, the probability that a customer will order a nonalcoholic beverage is .51.
satela [25.4K]

Answer:

P(x\geq 7)=0.1886

Step-by-step explanation:

The variable x, that said the number of customer that will order a nonalcoholic beverage in a sample of n customers follows a binomial distribution. Because we have n identical and independent events with a probability p of success and (1-p) of fail.

So, the probability that x customers will order a nonalcoholic beverage is:

P(x)=\frac{n!}{x!(n-x)!}*p^{x}*(1-p)^{n-x}

Where n is the size of the sample and p is the probability that a customer order a nonalcoholic beverage, so replacing the values, we get:

P(x)=\frac{10!}{x!(10-x)!}*0.51^{x}*(1-0.51)^{10-x}

Now, the probability that at least 7 will order a nonalcoholic beverage is equal to:

P(x\geq 7)=P(7)+P(8)+P(9)+P(10)

Where:

P(7)=\frac{10!}{7!(10-7)!}*0.51^{7}*(1-0.51)^{10-7}=0.1267\\P(8)=\frac{10!}{8!(10-8)!}*0.51^{8}*(1-0.51)^{10-8}=0.0494\\P(9)=\frac{10!}{9!(10-9)!}*0.51^{9}*(1-0.51)^{10-9}=0.0114\\P(10)=\frac{10!}{10!(10-10)!}*0.51^{10}*(1-0.51)^{10-10}=0.0011

So, P(x\geq 7) is equal to:

P(x\geq 7)=0.1267+0.0494+0.0114+0.0011\\P(x\geq 7)=0.1886

Finally, the probability that in a sample of 10 customers, at least 7 will order a nonalcoholic beverage is equal to 0.1886

5 0
3 years ago
Suppose you are planning a ward party. Last year, there was a similar activity and 150 people attended. If the ward has grown by
Marrrta [24]

Answer:

164 people

Step-by-step explanation:

100% represents the 150 people who attended last year.

this year , there is an increase of 9% , which will make the total percentage to be 109%.

if ; 100% = 150 people

     109% = ?

cross multiply to get 163.5 the round off to get 164

8 0
3 years ago
Solve 9x-10÷2=x+9<br>explain how​
Mariulka [41]

Answer:

x = 4

Step-by-step explanation:

7 0
3 years ago
If there are 1,800 members in the gym, how many are men?
Eva8 [605]

Answer:

1050

Step-by-step explanation:

8 0
2 years ago
A table is shaped like a regular hexagon. The length of one side is (7x + 4) in. and the length of another side is (8x − 1) in.
kirza4 [7]

Answer:

39 in.

Step-by-step explanation:

As  it's a regular hexagon all sides are congruent.

Therefore

7x + 4 = 8x - 1

4 + 1 = 8x - 7x

x = 5.

So the required length is 7(5) + 4 = 39 in.

8 0
2 years ago
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