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DaniilM [7]
4 years ago
7

Use long division to find the quotient below.

Mathematics
1 answer:
Tems11 [23]4 years ago
7 0

Answer:

Step-by-step explanation:

2

x

2

+

5

x

+

3

=

(

x

+

1

)

(

2

x

+

3

)

Explanation:

2

x

2

+

5

x

+

3

=

2

x

2

+

2

x

+

3

x

+

3

=

2

x

(

x

+

1

)

+

3

(

x

+

1

)

=

(

x

+

1

)

(

2

x

+

3

)

[Ans]

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Jenna has bought a new hybrid car. Each week for a period of seven weeks, she has noted the fuel efficiency (in miles per gallon
Leviafan [203]

Answer: 0.82 miles per gallon

Step-by-step explanation:

Given : Jenna has bought a new hybrid car. Each week for a period of seven weeks, she has noted the fuel efficiency (x) (in miles per gallon) of her car.

The results are :45 44 43 44 45 44 43

The formula to find the standard deviation is given by :-

\sigma=\sqrt{\dfrac{\sum_{i=1}^n(x_i-\overline{x})^2}{n-1}}

First we find mean of the given data ,

\overline{x}=\dfrac{\sum^n_{i=1}x_i}{n}\\\\=\dfrac{45+44+43+44+45+44+43}{7}=\dfrac{308}{7}=44

Now,

{\sum_{i=1}^n(x_i-\overline{x})^2=(1)^2+(0)^2+(-1)^2+(0)^2+(1)^2+(0)^2+(-1)^2

=1+1+1+1=4

Now,  standard deviation of the above results will be :-

\sigma=\sqrt{\dfrac{4}{7-1}}\\\\=\sqrt{\dfrac{4}{6}}\\\\=\dfrac{2}{\sqrt{3}}=0.816496580928\approx0.82

Hence, the standard deviation of these results = 0.82 miles per gallon

8 0
4 years ago
Nathan has a sculpture in the shape of a pyramid. The height of the sculpture is 3 centimeters less than the side length, x, of
uysha [10]
Let
x-----------> <span>the side length of a pyramid square base
h-----------> t</span>he height of the sculpture <span>in the shape of a pyramid

we know that
h=(x-3)
Volume=162 cm</span>³
Volume=x² *(x-3)/3
then
x² *(x-3)/3=162----------> x³-3x²=486----------> x³-3x²-486=0
x³-3x²-486=0-------- <span>this equation can be used to find the length of the sculpture’s base 

using a graph tool-----------> </span>to find the solution
x=9 cm -------------> see the attached figure
h=(x-3)-----> h=9-3--------> h=6 cm

the answer is
<span>the length of the sculpture’s base is 9 cm
</span>the height of the sculpture is 6 cm

8 0
3 years ago
An angle measures 42 less than its complementary angle. What is measure of each angle?
yaroslaw [1]
First angle = x
Second angle = x - 42
Sum both complementary angles = 90

x+x-42=90
2x=132
x=66⁰    -  First angle
x-42=66-42=24 
24⁰ - Second angle
6 0
3 years ago
Pls help me........ I tried lol
diamong [38]

its step 2 he did not subtract it right hope this helps and have a great day and get some sleep lol

7 0
3 years ago
Read 2 more answers
Choose the equation for the graph.
Marina CMI [18]

Answer:

C

Step-by-step explanation:

You just find the rate of change. So you would divide 30/1 which equals 30. So the equation is y=30x.

8 0
3 years ago
Read 2 more answers
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