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GenaCL600 [577]
3 years ago
11

(m^3p^5divide by n^7)x(m^2n^0p^3divdie bye m^4n^2)^3

Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
7 0
Convert division to exponent neative
also, n^0=1 so get rid of that nonesense
also we have m^2/m^4 so we are left wiht 1/(m^2) or m^-2

so
(m^3p^5n^{-7})(p^3m^{-2}n^{-2})^3=
(m^3p^5n^{-7})((p^3)^3)((m^{-2})^3)((n^{-2})^3)=
(m^3p^5n^{-7})(p^9)(m^{-6})(n^{-6})=
(m^3)(p^5)(n^{-7})(p^9)(m^{-6})(n^{-6})=
(m^{-3})(p^{14})(n^{-13})=
\frac{p^{14}}{m^3n^{13}}
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Answer:

68% of plans cost between $62.16 and $86.52.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean: 74.34

Standard deviation: 12.18

Bell-shaped is the same as normally distributed.

Estimate the number of plans that cost between $62.16 and $86.52.

62.16 is one standard deviation below the mean.

86.52 is one standard deviation above the mean.

By the Empirical rule, 68% of the measures are within 1 standard deviation of the mean.

So

68% of plans cost between $62.16 and $86.52.

7 0
2 years ago
The sides of a triangle are in the ratio of 2:3:4. If the measure of the shortest side of the triangle is 12 centimeters, what i
Scorpion4ik [409]
To answer this, we let x some factor that would agree or make the ratio given true. We calculate as follows:

<span>2:3:4
2x:3x:4x

2x = 12
x = 6 

Therefore, the length of the longest side would be 4x = 4(6) = 24 cm, third option.</span>
3 0
2 years ago
Read 2 more answers
5 rational and irrational numbers in decimal form
alexira [117]

Answer:

A rational number is a number that can be expressed as a fraction (ratio). This includes whole numbers, square roots that can be solved evenly, negatives, decimals, and repeating decimals that can be solved with a fraction.

  1. \frac{1}{2}   ↔  .5
  2. 5  ↔ 5.0
  3. \sqrt{4} ↔ 2.0
  4. -13  ↔  -13.0
  5. 0.38462... (\frac{5}{13})

An irrational number is a number that is NOT rational. It's the complete opposite!

  1. π  ↔  3.14159
  2. .13133133...
  3. \frac{\sqrt{3} }{2}   ↔  0.86603...
  4. -\sqrt{5}  ↔  -2.23607...
  5. \sqrt{5}   ↔   2.23607...

Hope this helps!!!

3 0
3 years ago
A trapezoid has a height of 10 centimeters. One parallel base has a length of 7 centimeters, and the other parallel base has a l
Papessa [141]

Answer:

I couldn't see the picture it is black

Step-by-step explanation:

the formula for the area of a trapezoid is:

\frac{b1+b2}{2} h

insert 7 for b1, 13 for b2, and 10 for h

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100

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8 0
2 years ago
During a test period, an experimental group of 10 vehicles using an 85 percent ethanol-gasoline mixture showed mean CO2 emission
Zinaida [17]

Answer:

-1.683

Step-by-step explanation:

Given :

Group 1 :

x1 = 667 ; n1 = 10 ; s1 = 20

Group 2 :

x2 = 679 ; n2 = 14 ; s2 = 15

The test statistic assuming equal variance :

x1 - x2 / √[Sp² * (1/n1 + 1/n2)]

sp² = [(n1 - 1)*s1² + (n2 - 1)*s2²] ÷ (n1 + n2 - 2)

Sp² = [(10 - 1)*20² + (14 - 1)*15²] = 296.59

Test statistic =

(667 - 679)/ √[296.59 * (1/10 + 1/14)]

-12 / 7.1304978

Test statistic = - 1.682

8 0
2 years ago
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