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Troyanec [42]
3 years ago
9

What is the quotient of

Mathematics
2 answers:
Schach [20]3 years ago
8 0

Answer:

Its 7

All you gotta do is factor the numerator and the denominator and then cancel the common factors and you'll end up with 7 as your answer

labwork [276]3 years ago
6 0

For this case we have that by definition of power properties:

a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}

So:

7 ^ {-1} = \frac {1} {7 ^ 1} = \frac {1} {7}\\7 ^ {- 2} = \frac {1} {7 ^ 2} = \frac {1} {49}

Then the quotient is given by:

\frac {\frac {1} {7}} {\frac {1} {49}} =\\\frac {49} {7} =7

Answer:

\frac {7 ^ {- 1}} {7 ^ {- 2}} = 7

Option C

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What is the slope of a line that is perpendicular to the line whose equation is 3x+2y=6 3 x + 2 y = 6 ?
Tanzania [10]

Answer:

The slope of the line perpendicular to the given line is 2/3

Step-by-step explanation:

step 1

Find the slope of the given line

we have

3x+2y=6

isolate the variable y

2y=-3x+6

y=-(3/2)x+3

The slope of the given line is m=-(3/2)

step 2

Find the slope of the line perpendicular to the given line

Remember that

If two lines are perpendicular, their slopes are opposite reciprocal of each other ( the product of their slopes is equal to -1)

so

m1*m2=-1

we have

m1=-3/2

so

m2=2/3

therefore

The slope of the line perpendicular to the given line is 2/3

6 0
3 years ago
What is 254 divided by 40
Zigmanuir [339]
The answer is 6.35. Because you put in 254 / 40 and it says 6.35.

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Ashley rode her bicycle 29.4 miles in 4 hours. She rode the same number of miles each hour. How many miles did ride her bike in
VikaD [51]

Answer:

7.35 miles per hour

Step-by-step explanation:

Divide 29.4 by 4

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3 years ago
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If you roll two fair dice(one black die and one white die) in how many ways can you obtain a 2 on the black die?
BigorU [14]

The number of ways that you obtain a 2 on the black die is 6 ways.

If two fair dice(one black die and one white die) are rolled, in order to know the number of ways a 2 can be obtained on the black die, we will use the method of combination.

  • Combination has to do with selection. Hence the way a 2 can be obtained on a black die is 6C1

  • Note that a die has 6 faces and a 2 can only occur once in a toss.

Get the required number of ways:

6C1 =\frac{6!}{(6-1)!1!}\\6C1=\frac{6!}{5!1!}\\6C1=\frac{6\times 5!}{5!}\\6C 1=6 ways

Hence the number of ways that you obtain a 2 on the black die is 6 ways.

Learn more here: brainly.com/question/23327040

5 0
3 years ago
In its Fuel Economy Guide for 2014 model vehicles, the Environmental Protection Agency gives data on 1160 vehicles. There are a
Ivahew [28]

Answer:

Q_1=18.69\\Q_2=22.2\\Q_3=25.7

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 22.2 miles per gallon

Standard Deviation, σ = 5.2 mpg

We are given that the distribution of gas mileage is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

First Quartile(Cumulative proportion 0.25)

We have to find the value of x such that the probability is 0.25

P(X < x)

=P( z \leq \displaystyle\frac{x - 22.}{5.2})=0.25  

Calculation the value from standard normal z table, we have,  

P(z

\displaystyle\frac{x - 22.2}{5.2} = -0.674\\\\x = 18.69

Q_1 = 18.69

Second Quartile(Cumulative proportion 0.5)

We have to find the value of x such that the probability is 0.5

P(X < x)

=P( z \leq \displaystyle\frac{x - 22.}{5.2})=0.5  

Calculation the value from standard normal z table, we have,  

P(z

\displaystyle\frac{x - 22.2}{5.2} = 0.0\\\\x = 22.2

Q_2 = 22.2

Third Quartile(Cumulative proportion 0.75)

We have to find the value of x such that the probability is 0.75

P(X < x)

=P( z \leq \displaystyle\frac{x - 22.}{5.2})=0.75  

Calculation the value from standard normal z table, we have,  

P(z

\displaystyle\frac{x - 22.2}{5.2} = 0.674\\\\x = 25.70

Q_3 = 25.70

Inter-quartile range:

Q_3-Q_1=25.70-22.2 = 3.5

3 0
3 years ago
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