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liraira [26]
2 years ago
5

Help please, 10 points ​

Mathematics
1 answer:
damaskus [11]2 years ago
7 0

Answer:

<u>12 feet</u>

Step-by-step explanation:

<u>Finding the missing side</u>

  • (?)² + (35)² = (37)²
  • ?² + 1225 = 1369
  • ?² = 144
  • ? = √144
  • ? = <u>12 feet</u>
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At a Noodles &amp; 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
What is the measure of x in the figure below?
vlada-n [284]

Answer:

115 degree

Step-by-step explanation:

x + 65 = 180 (Sum of angles in a straight line = 180 [Also known as Linear pair])

x = 180 - 65

x = 115 degree

8 0
2 years ago
Find the amplitude and period of y = 5 cos (4x)
dezoksy [38]

Answer: amplitude is 5 and Period is pi/2

Step-by-step explanation:

yes ‍♀️

3 0
2 years ago
The numbers 1 through 15 are written on cards. One card is chosen at random. Event A is choosing a
lana [24]

Step-by-step explanation:

the probability is always the number of desired cases over the number of all possible cases.

in our situation we have 15 cards.

that is the total possible cases when a random card is chosen.

how many desired cases do we have ?

a number NOT a multiple of 5.

how many are there ?

it is easier to say how many numbers there are being a multiple of 5 : 5, 10, 15

so, 3 numbers out of the 15 are multiple of 5.

that means

15 - 3 = 12 numbers of the 15 are NOT multiples of 5.

so, the probability to draw a card that is not a multiple of 5 is

12/15 = 4/5 = 0.8

the information about event B and even numbers is irrelevant for the question.

6 0
1 year ago
A store is having a 20% off sale. If the reduced
FinnZ [79.3K]

Answer:

The original price of the item was $83

Step-by-step explanation:

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3 years ago
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