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hjlf
3 years ago
15

An oil tanker empties at 3.5 gallons per minute. Convert this rate to cups per second. Round to the nearest tenth.

Mathematics
1 answer:
ss7ja [257]3 years ago
4 0
If given ratio is 3.5 gallons per minute and we want to cups per second we can do this knowing that 
1 gallon= 16cups
1min = 60sec
ratio=3.5\frac{gallon}{minute}=3.5* \frac{16cups}{60 seconds}  =3.5*0.266=0.933 \frac{cups}{sec}
Its the result
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The useful life of an electrical component is exponentially distributed with a mean of 1000 hours a. What is the probability the
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Answer:

0.865

Step-by-step explanation:

To solve for the probability we would be using the formula:

F(x) = 1 - e^−λx

Therefore, P(x > 2000) = F(x) = 1 - e^−λx

Mean = 1000 hours

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x= 2000 hours

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Therefore, the probability the the circuit will last at least 2000 hours = 0.865

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A zoo orders food in bulk for it's animals. they order enough fresh fruit to last 10 days, enough fresh vegetables for 7 days, a
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2 years ago
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5 0
3 years ago
Need some help working these out
s2008m [1.1K]

Answers:

  • Problem 1)  40 degrees
  • Problem 2) 84 degrees
  • Problem 3) 110 degrees

===============================================

Explanation:

For these questions, we'll use the inscribed angle theorem. This says that the inscribed angle is half the measure of the arc it cuts off. An inscribed angle is one where the vertex of the angle lies on the circle, as problem 1 indicates.

For problem 1, the arc measure is 80 degrees, so half that is 40. This is the measure of the unknown inscribed angle.

Problem 2 will have us work in reverse to double the inscribed angle 42 to get 84.

-------------------

For problem 3, we need to determine angle DEP. But first, we'll need Thales Theorem which is a special case of the inscribed angle theorem. This theorem states that if you have a semicircle, then any inscribed angle will always be 90 degrees. This is a handy way to form 90 degree angles if all you have is a compass and straightedge.

This all means that angle DEF is a right angle and 90 degrees.

So,

(angle DEP) + (angle PEF) = angle DEF

(angle DEP) + (35) = 90

angle DEP = 90 - 35

angle DEP = 55

The inscribed angle DEP cuts off the arc we want to find. Using the inscribed angle theorem, we double 55 to get 110 which is the measure of minor arc FD.

3 0
3 years ago
The bakers can make 33 bagels in 30 minutes. How many bagels can they make in 18 hours. What is the rate per hour.
grin007 [14]

Answer:

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Step-by-step explanation:

u multiply 18 by 2 and then the answer for 33

6 0
3 years ago
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