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murzikaleks [220]
2 years ago
13

Eric drove 436 miles in 7 hours. About how many miles did he drive each hour

Mathematics
1 answer:
lyudmila [28]2 years ago
7 0

In order to find the answer you must find the unit rate. Solve the following problem.

\frac{436}{7} = 62.2857142857

So he drove about 62.2857142857 miles each hour.

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For a normal distribution with μ=500 and σ=100, what is the minimum score necessary to be in the top 60% of the distribution?
STatiana [176]

Answer:

475.

Step-by-step explanation:

We have been given that for a normal distribution with μ=500 and σ=100. We are asked to find the minimum score that is necessary to be in the top 60% of the distribution.

We will use z-score formula and normal distribution table to solve our given problem.

z=\frac{x-\mu}{\sigma}

Top 60% means greater than 40%.

Let us find z-score corresponding to normal score to 40% or 0.40.

Using normal distribution table, we got a z-score of -0.25.

Upon substituting our given values in z-score formula, we will get:

-0.25=\frac{x-500}{100}

-0.25*100=\frac{x-500}{100}*100

-25=x-500

-25+500=x-500+500

x=475

Therefore, the minimum score necessary to be in the top 60% of the distribution is 475.

3 0
2 years ago
The sum of 5 consecutive integers is 120. What is the third number in this sequence?
aliina [53]
Ok so

x - the smallest
The other 4 are : x+1, x+2, x+3, x+4
We know that sum is 120
So
x+x+1+x+2+x+3+x+4=120
Combine like terms
5x+10=120
Subtract 10 on both sides
5x=120-10
5x=110
Divide by 5 on both sides
X=22
The third number is x+2 = 22+2=24

3 0
2 years ago
How to find horizontal and vertical asymptotes from equations?
julsineya [31]
This is how u would find horizontal and vertical asymptotes

6 0
3 years ago
A student pushes a 51.5 kilogram bookshelf across a smooth floor with a net force of 67 N.
iren [92.7K]

The acceleration of the bookshelf is equal to 1.30 m/s^2

<u>Given the following data:</u>

  • Mass of bookshelf = 51.5 kilogram
  • Net force = 67 Newton

To determine the acceleration of the bookshelf, we would apply Newton's Second Law of Motion:

Newton's Second Law of Motion states that the acceleration of an object is directly proportional to the net force acting on the object while being inversely proportional to its mass.

Mathematically, Newton's Second Law of Motion is given by this formula;

Acceleration = \frac{Net\;force}{Mass}

Substituting the given parameters into the formula, we have;

Acceleration = \frac{67}{51.5}

Acceleration = 1.30 m/s^2

Read more on net force here: brainly.com/question/1121817

7 0
2 years ago
Whats the middle number in between 12 and 17
sattari [20]

Answer:

The middle number would be (14+15)/2 = 14.5

How I found that is I did (14+15)/2.  

pls mark as branliest

3 0
3 years ago
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