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tiny-mole [99]
2 years ago
12

The average car manufactured in the United states in 2001 could drive 24.5 miles on 1 car gallon of gas. Explain how to find the

number of yards the car can travel on gallon of gas
Mathematics
1 answer:
bogdanovich [222]2 years ago
7 0

Answer:

Step-by-step explanation:

The average car manufactured in the United states in 2001 could drive 24.5 miles on 1 car gallon of gas. To find the number of yards the car can travel on gallon of gas, we would convert 24.5 miles.

1 mile = 1760 yards

24.5 miles = 24.5 × 1760

= 43120 yards

Therefore, the car drives 43120 yards on 1 gallon of gas.

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A rectangular piece of plastic is 5 millimeters tall and 10 millimeters wide. What is its area?
Aleonysh [2.5K]

Answer:

NNE the other hand if one is the I you are said to me explanation and anaerobic I I I am in the tr to two triangles to be congrv you have any

7 0
3 years ago
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How do u find the point in a graph if they are not given to u when u solving changing y over changing x
stiks02 [169]
U would replace x with 0 in the equation and solve and then do the same but with y and those are ur x and y values of ur point
Ex: 2x+5y=15
2(0) +5y=15
5y=15
Y=3
2x+5(0)=15
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X=7.5
So ur point would be (7.5,3)
3 0
2 years ago
In a string of 12 Christmas tree light bulbs, 3 are defective. The bulbs are selected at random and tested, one at a time, until
Juliette [100K]

Using the hypergeometric distribution, it is found that there is a 0.0273 = 2.73% probability that the third defective bulb is the fifth bulb tested.

In this problem, the bulbs are chosen without replacement, hence the <em>hypergeometric distribution</em> is used to solve this question.

<h3>What is the hypergeometric distribution formula?</h3>

The formula is:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • N is the size of the population.
  • n is the size of the sample.
  • k is the total number of desired outcomes.

In this problem:

  • There are 12 bulbs, hence N = 12.
  • 3 are defective, hence k = 3.

The third defective bulb is the fifth bulb if:

  • Two of the first 4 bulbs are defective, which is P(X = 2) when n = 4.
  • The fifth is defective, with probability of 1/8, as of the eight remaining bulbs, one will be defective.

Hence:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}

P(X = 2) = h(2,12,4,3) = \frac{C_{3,2}C_{9,1}}{C_{12,4}} = 0.2182

0.2182 x 1/8 = 0.0273.

0.0273 = 2.73% probability that the third defective bulb is the fifth bulb tested.

More can be learned about the hypergeometric distribution at brainly.com/question/24826394

8 0
2 years ago
In triangle MPN, angle P is a right angle. If cos N= 3/5 which of the following statements is true
Bezzdna [24]

Answer: Sin N = \frac{4}{5}

Step-by-step explanation:

Since we have given that

In triangle MPN, ∠P=90°

\cos N=\frac{3}{5}

As we know the formula for "Trigonometric Ratios":

\cos N=\frac{Base}{Hypotenuse}=\frac{3}{5}

By Pythagorus theorem , we get

H^2=B^2+P^2\\\\5^2=3^2+P^2\\\\25=9+P^2\\\\25-9=P^2\\\\16=P^2\\\\P=\sqrt{16}\\\\P=4\ units

So, we get,

\sin N=\frac{Perpendicular}{Hypotenuse}=\frac{4}{5}

Hence, Sin N = \frac{4}{5}

3 0
2 years ago
What is the least common multiple of 32 24 and 18
noname [10]

Answer:

288 is your answer. Your welcome

3 0
3 years ago
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