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Arisa [49]
2 years ago
14

a plane can fly 450 miles in the same time it takes a car to go 150 miles. if the car travels 100 mph slower than the plane, fin

d the speed (in mph) of the plane​
Mathematics
1 answer:
Harrizon [31]2 years ago
8 0

Answer:

The speed of the plane is 150 miles per hour, while the speed of the car is 50 miles per hour.

Step-by-step explanation:

Since a plane can fly 450 miles in the same time it takes a car to go 150 miles, if the car travels 100 mph slower than the plane, to find the speed (in mph) of the plane the following calculation must be performed:

450 to 150 is equal to 3: 1, that is, the plane travels three times the distance of the car.

Therefore, since 100/2 x 3 equals 150, the speed of the plane is 150 miles per hour, while the speed of the car is 50 miles per hour.

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In a sample of 700 gas​ stations, the mean price for regular gasoline at the pump was $2.894 per gallon and the standard deviati
frez [133]

Answer:

P(x < 2.892) = 4.36\%

Step-by-step explanation:

Given

N = 700 --- Population

\mu = 2.894 -- Mean

\sigma = 0.009 --- Standard deviation

n = 55 -- Sample

Required: P(x < 2.892)

This question will be solved using the finite correction factor

First, calculated the z score

z = \frac{x - \mu}{\sqrt{\frac{N -n}{N -1}} * \frac{\sigma}{\sqrt n}}

z = \frac{2.892 - 2.894}{\sqrt{\frac{700 -55}{700 -1}} * \frac{0.009}{\sqrt {55}}}

z = \frac{-0.002}{\sqrt{\frac{645}{699}} * \frac{0.009}{7.42}}

z = \frac{-0.002}{\sqrt{0.92} * \frac{0.009}{7.42}}

z = \frac{-0.002}{0.95917 * 0.0012129}

z = -1.71

So:

P(x < 2.892) = P(z < -1.71)

Using z table

P(x < 2.892) = 0.043633

P(x < 2.892) = 4.36\%

3 0
3 years ago
3√12•√6<br><br>please show a step by step explanation ​
Oduvanchick [21]

Answer:  18\sqrt{2}\\\\

This is the same as saying 18*sqrt(2) or you could say 18√2

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

Explanation:

We'll be using this square root rule: \sqrt{A}*\sqrt{B} = \sqrt{A*B}

So we could have this as our steps:

3\sqrt{12}*\sqrt{6}\\\\3\sqrt{12*6} \ \text{ ... Apply the rule mentioned}\\\\3\sqrt{72}\\\\3\sqrt{36*2}\\\\3\sqrt{36}*\sqrt{2} \ \text{ ... Apply the rule again, but in reverse}\\\\3*6*\sqrt{2}\\\\18\sqrt{2}\\\\

Therefore, 3\sqrt{12}*\sqrt{6} = 18\sqrt{2}

The basic idea is to first combine the roots using that rule. From there, we factor the radicand such that we pull out the largest perfect square factor. This will allow us to break the root apart and fully simplify it.

5 0
3 years ago
How do you say 309099990 in word form
babunello [35]
<span>First of all, we need to put commas in the number so it would look less confusing 309 , 099 , 990 Hundred million hundred of thousnd Hundred So the correct way to say it would be : three hundred nine million ninety nine thousand nine hundred and ninetyHope this helps. Let me know if you need additional help!</span>
6 0
2 years ago
Can you please Simplify 4a+7b+5a-b
vovangra [49]

Answer:

9a+6b

Step-by-step explanation:

4a+7b+5a-b

First figure out the  a's 4a + 5a = 9a

Then do b's (Remember, if there is no number by the letter then it is 1)

7b - 1b = 6b

So for this to be simplified the answer is 9a+6b

7 0
3 years ago
How many miles per gallon does the car get
Diano4ka-milaya [45]

Answer:

25 miles for 1 gallon

Step-by-step explanation:

Looking at the graph, for 1 gallon of gas, is about 25 miles. For 2 gallons, it is 50 miles. For 3 gallons, it is 75 miles. So based on the graph and the pattern, we can assume 1 gallon of gas will take the car 25 miles.

5 0
2 years ago
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