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ladessa [460]
1 year ago
8

Item 14 Sand is added to the timer below so that the height of the sand is 30 millimeters. You must answer a trivia question bef

ore the sand in the timer falls to the bottom. The sand falls at a rate of 50 cubic millimeters per second. How much time do you have to answer the question?

Mathematics
1 answer:
jenyasd209 [6]1 year ago
4 0

the complete question in the attached figure

Volume  of the sand V=(1/3)*h*π*r²

we have that

h=30 mm

r=10 mm

v=(1/3)*30*π*10²=1000≈3140 mm³

the rate is 50 mm³/seg

50 mm³--------------------------------------> 1 seg

3140 mm³-------------------------------- X

x=3140/50=62.8 seg

the answer is 62.8 seg


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A recent poll in your state shows that 25% of the vehicles are SUV’s and 10% are trucks. The poll counted 5 million SUV’s. How m
rjkz [21]

Answer:

20 million

Step-by-step explanation:

5 million SUVs are 25% of the total number of vehicles.

0.25x = 5,000,000

x = 20,000,000

Answer: 20 million

4 0
1 year ago
At a gas station, suppose that 45% of the customers purchase premium grade gas. Assume that these customers decide independently
valkas [14]

Answer:

The answer to the question is

The probability that at least one of the next three customers purchases premium gas is the complement of the probability that none of the next three customers purchase premium gas = 1 - (1-P(A))³ = 0.834

Step-by-step explanation:

The probability that a customer would purchase premium grade = 45 %

That is P(A) = 0.45 and

The probability that the customer would purchase another  grade = P(B) = 0.55

Therefore the probability of at least one of the next three customers purchase premium gas is

P(k=0) = (1 - P)ⁿ and the probability of at least one customer purchases premium gas is the compliment of the probability that the next three customers purchase another gas brand

that is (1 - P(A))×(1 - P(A))×(1 - P(A)) = P(B)×P(B)×P(B) = 0.55³  and the complement is 1 - 0.55³  = 0.834

8 0
1 year ago
Read 2 more answers
John Johnson is forty-seven. He is purchasing twenty-year endowment insurance, with a face value of $20,000. What is his annual
Alenkinab [10]
The answer is Letter D - 939.80.

You can refer to the attachment for the rate. Since he is forty-seven years old, use that age to find his rate under a twenty-year endowment insurance. In this case, the rate is 46.99. Multiply that rate to 20 since he purchased a 20-year endowment insurance with a face value of $20,000. (20,000/1,000 = 20)

   46.99 x 20 = 939.80

4 0
2 years ago
Twenty-one boys and eight girls go on a camping trip. In how many ways can a group of six be selected to gather firewood, given
lorasvet [3.4K]
(a)  there are 8C2  = 28 ways of picking 2 girls from 8
And there are  21C4  =  5985 ways of picking 4 boys

Required number of ways for 2g / 4b  = 28 * 5985 =  167,580 

(b) at least 2 girls means  combinations of 2g/4b , 3g,3b , 4g/2b , 5g 1b or 
6 girls.

2g/4b  = 167,580 ways
3g/3b =  8C3 * 21C3 =  56 * 1330 = 74,480
4g/2b =  8C4* 21C2  =   70 * 210 = 14,700 
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6 girls  = 8C6 = 28

adding these up we get the answer to (b) which is  257,964

6 0
1 year ago
The population of a species is modeled by the equation p(t)=-t^4+72t^2+225, where t is the number of years. find the approximate
Shtirlitz [24]

Answer:

The approximate number of years until the species is extinct will be 9 years

Step-by-step explanation:

We are given

The population of a species is modeled by the equation

p(t)=-t^4+72t^2+225

where

t is the number of years

we have to find time when species extinct

we know that any species will be extinct only if population of that species becomes 0

so, we can set P(t)=0

and then we can solve for t

p(t)=-t^4+72t^2+225=0

we can factor it

(t^2+3)(t^2-75)=0

(t^2+3)=0

we get t value as imaginary for this equation

(t^2-75)=0

t=\sqrt{75}

t=8.660

So,

the approximate number of years until the species is extinct will be 9 years

8 0
2 years ago
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