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Zolol [24]
3 years ago
5

Given h(t)=-2(t+5)2 , find h(-8)

Mathematics
1 answer:
amm18123 years ago
5 0
The answer I got was 12 if needed I can take a picture of how I worked it

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. Tommy gives baseball cards to four of his friends. He gives Kiana 3 cards less than he gives Gary.
Licemer1 [7]
We need to write system of equations for this problem. Reading text we write 1 equation by 1.
first lets name our variables
x - Kiana cards
y - Gary cards
z - Monty cards
m - Willa cards

x = y-3         which we can write as y = x+3
z = x + 7
m = 2z
x + y + z + m = 74

I think easiest way to solve this is to express all variables in last equation and solve for x.
x + x+3 + x + 7+ 2x + 14= 74
5x = 50
x = 10
now we just calculate cards given to each friend

y = 13
z = 17
m = 34
7 0
3 years ago
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
There are 42 students 21 are in 7th grade 14 are in 8th 7 are in ninth whats the probability of an eighth grader winning
Varvara68 [4.7K]

Answer:

The probability of an eighth grader winning is 1/3

Step-by-step explanation:

Total no. of students = 42

Number of students in 7th grade = 21

Number of students in 8th grade = 14

Number of students in 9th grade = 7

Probability of event = \frac{\text{Favorable outcomes}}{\text{Total outcomes}}

So,the probability of an eighth grader winning= \frac{14}{42}=\frac{2}{6}=\frac{1}{3}

Hence The probability of an eighth grader winning is 1/3

3 0
3 years ago
15. Given the side measures, which of the following could form a triangle
alexdok [17]

Answer:

6,8,9

Step-by-step explanation:

6,8,9

any sum of two sides are bigger than the third side

7 0
3 years ago
sea level =0 A submarine is 120ft below sea level it climbs 50 ft towards sea level where the submarine comparrf to sea level an
Katyanochek1 [597]

Answer:

<h2>70 ft</h2>

Step-by-step explanation:

120 below we can use a model to figure this out.

sea level is 0

the submarine <u>goes 120 down</u>, so its -120

it <u>goes up by 50</u>, so now its <em>70</em>

no other obstacles, 70 or A is your answer.

7 0
3 years ago
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