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Slav-nsk [51]
3 years ago
11

Solve the literal equation for x ax=bx-c

Mathematics
1 answer:
Svetlanka [38]3 years ago
3 0

Answer:

Collect terms in x on the left side  

subtract  

b

x

from both sides

a

x

−

b

x

=

−

c

take out a  

common factor  

x

x

(

a

−

b

)

=

−

c

divide both sides by  

a

−

b

x

=

−

c

a

−

b

Step-by-step explanation:

im sorry if its not cleear to explain

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Answer:

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Step-by-step explanation:

Since x = -18, we use the top formula

f(-18) = (x-6)/3

        = (-18-6)/3

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A sector of area 2pi/3 square inches is formed by a central angle of 45 degrees. What is the radius of the circle?
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The Candle Factory is producing a new candle. It has a radius of 3 inches and a height of 5 inches. What is the surface area of
Savatey [412]

Answer:

We are looking for the amount of wax it will take to fill up that size candle mold to make that candle. That means that we are looking for the volume of wax, and the shape is a cylinder. The volume formula for a cylinder is

For us, that will look like this:

which translates to

V = 3.14(9)(5) which gives us a volume of 141.3 cubic inches. Rounding to the nearest cubic inch is simply 141 cubic inches of wax.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Which of the following functions has a domain of LaTeX: \left[2,7\right][ 2 , 7 ] and a range of LaTeX: \left[4,9\right][ 4 , 9
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6 0
3 years ago
The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airp
motikmotik

Answer:

The 95% confidence interval for the population mean rating is (5.73, 6.95).

Step-by-step explanation:

We start by calculating the mean and standard deviation of the sample:

M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{50}(6+4+6+. . .+6)\\\\\\M=\dfrac{317}{50}\\\\\\M=6.34\\\\\\s=\sqrt{\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{49}((6-6.34)^2+(4-6.34)^2+(6-6.34)^2+. . . +(6-6.34)^2)}\\\\\\s=\sqrt{\dfrac{229.22}{49}}\\\\\\s=\sqrt{4.68}=2.16\\\\\\

We have to calculate a 95% confidence interval for the mean.

The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.

The sample mean is M=6.34.

The sample size is N=50.

When σ is not known, s divided by the square root of N is used as an estimate of σM:

s_M=\dfrac{s}{\sqrt{N}}=\dfrac{2.16}{\sqrt{50}}=\dfrac{2.16}{7.071}=0.305

The degrees of freedom for this sample size are:

df=n-1=50-1=49

The t-value for a 95% confidence interval and 49 degrees of freedom is t=2.01.

The margin of error (MOE) can be calculated as:

MOE=t\cdot s_M=2.01 \cdot 0.305=0.61

Then, the lower and upper bounds of the confidence interval are:

LL=M-t \cdot s_M = 6.34-0.61=5.73\\\\UL=M+t \cdot s_M = 6.34+0.61=6.95

The 95% confidence interval for the mean is (5.73, 6.95).

4 0
4 years ago
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