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harkovskaia [24]
2 years ago
15

Find the volume of this cone. round to the nearest tenth. 15 m 5 m

Mathematics
1 answer:
erma4kov [3.2K]2 years ago
4 0

Answer:

volume =  \frac{1}{3} \pi {r}^{2} h \\  =  \frac{1}{3}  \times 3.14 \times  {5}^{2}  \times 15 \\  = 392.5 \:  {m}^{3}

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1/2(x + 1)²- 3
Ierofanga [76]

Answer:

  • a = 1/2
  • h = -1
  • k = -3

Step-by-step explanation:

We assume you want to compare your expression to the form ...

  a(x -h)² +k

  1/2(x +1)² +k

The multiplier outside parentheses is ...

  a = 1/2

The horizontal offset inside parentheses is ...

  -h = 1

  h = -1

The vertical offset outside parentheses is ...

  k = -3

4 0
2 years ago
During the first six months of operation, Abdoul's lemonade stand made a profit of $50 per month. In the next three months it ha
MrMuchimi

profit, p = 6 × $50 = $300

losses, l = 120 + 30 + 200 = $350

overall = p - l = -$50

loss of $50

4 0
3 years ago
Suppose that 80% of all trucks undergoing a brake inspection at a certain inspection facility pass the inspection. Consider grou
Gwar [14]

Answer:

P=0.147

Step-by-step explanation:

As we know 80% of the trucks have good brakes. That means that probability the 1 randomly selected truck has good brakes is P(good brakes)=0.8 . So the probability that 1 randomly selected truck has bad brakes Q(bad brakes)=1-0.8-0.2

We have to find the probability, that at least 9 trucks from 16 have good brakes, however fewer than 12 trucks from 16 have good brakes. That actually means the the number of trucks with good brakes has to be 9, 10 or 11 trucks from 16.

We have to find the probability of each event (9, 10 or 11 trucks from 16 will pass the inspection) .  To find the required probability 3 mentioned probabilitie have to be summarized.

So P(9/16 )=  C16 9 * P(good brakes)^9*Q(bad brakes)^7

P(9/16 )= 16!/9!/7!*0.8^9*0.2^7= 11*13*5*16*0.8^9*0.2^7=approx 0.02

P(10/16)=16!/10!/6!*0.8^10*0.2^6=11*13*7*0.8^10*0.2^6=approx 0.007

P(11/16)=16!/11!/5!*0.8^11*0.2^5=13*21*16*0.8^11*0.2^5=approx 0.12

P(9≤x<12)=P(9/16)+P(10/16)+P(11/16)=0.02+0.007+0.12=0.147

7 0
2 years ago
A cyclist rides his bike 18 miles per hour what is the speed in minutes? How many miles will the cyclist travel in 10 minutes
Crazy boy [7]

Answer:

Step-by-step explanation:

18 miles..................60 min

18/60= 0.30 miles/ min

10  minutes   0.30*10=3 miles

3 0
2 years ago
Read 2 more answers
An arts academy requires there to be 5 teachers for every 95 students and 4 tutors for every 40 students how many students does
Whitepunk [10]

Answer:

19 students per teacher and 10 students per tutor

Step-by-step explanation:

To find the amount of students per teacher and per tutor you have to divide

95 students /5 teachers

19 students per teacher

40 students /4 tutors

10 studetns pet tutor

5 0
2 years ago
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