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Alexus [3.1K]
3 years ago
6

1) Given the equation ax + 3 2 = 6, solve for x.

Mathematics
2 answers:
vovikov84 [41]3 years ago
7 0
ax+32=6
subtract 32 from both sides
ax+32-32=6-32
simplify
ax=-26
divide both sides by a
\frac{ax}{a}= \frac{-26}{a}
simplify 
x=- \frac{26}{a}
Hope this helps
ruslelena [56]3 years ago
4 0
Ax + 32 =  6
     - 32  = -32
---------------------
 ax         = -26
----            -----
 a                a

1x          =  -26
                  -----
                     a

x             = -26
                  -----
                     a

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Step-by-step explanation:

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Nesterboy [21]

Answer:

Mickey

Step-by-step explanation:

Mickey is correct because if you look at the number 45.7654 whenever you round to the nearest thousandth it'll be 45.765

5 is the thousandth place so look to the right. If the number to the right is greater than 5 it'll round to 47.766 but since it's a four ti rounds down.

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Matt and Anna Killian are frequent fliers on​ Fast-n-Go Airlines. They often fly between two cities that are a distance of 1980
Ymorist [56]

Answer:

y (plane speed) 400 miles/hr

x (wind speed)  40 miles/hr

Step-by-step explanation:

going into the wind make the plane flew 5,5 hours to get 1980 miles, implies the real travel speed was

1980 / 5,5 = 360 miles/hours, and at the same time is the result of:  

speed plane (y)  in direction A to B  plus wind speed (x) in direction B to A. Notice opposites direction speed, so we have:

y + (-x) = 360          (1)

The return fly  took 4,5 hours so 1980/4,5 = 440 miles/ hours as the result

Y + x = 440             (2)

We have a two equation with two variables system, It could be solved for any of the procedures. We will use the substitution method.

From equation      (1)        y + (-x) = 360         y  - x = 360      y = 360 + x    (1)

In the second equation    

y + x = 440         then we replace y for its value as function of x

(360 + x ) + x = 440

Solving for x        360 + 2x = 440      or    2x = 440 – 360        

 x   (440 - 360)/2

 x = 40 miles/hr

 X (wind speed ) = 40 miles/hr

And replacing the value of x in eq. (1)        y = 360 + 40 = 400

Y (plane speed) = 400 miles /hr

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3 years ago
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dlinn [17]
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7 0
3 years ago
Answer true or false to each statement concerning a confidence interval for a population mean. Give reasons for your answers. a.
Rainbow [258]

Answer:

(a) True

(b) True

(c) False

(d) True

Step-by-step explanation:

The general form of a confidence interval is:

CI=SS\pm MOE

Here,

SS = Sample statistic

MOE = margin of error

The formula to compute the MOE is:

MOE=\frac{length}{2}

Here, length implies the length of the confidence interval.

(a)

The statement is:

"The length of a confidence interval can be determined if you know only the margin of error."

The length of the confidence interval is twice the MOE.

So, yes one can compute the length of the confidence interval if they know the value if MOE.

The statement is True.

(b)

The statement is:

"The margin of error can be determined if you know only the length of the confidence interval."

The margin of error of the confidence interval is half the length.

So, yes one can compute the MOE if they know the length of the confidence interval.

The statement is True.

(c)

The statement is:

"The confidence interval can be obtained if you know only the margin of error."

The confidence interval formula is:

CI=SS\pm MOE

So, if we only knew the value of MOE we cannot compute the confidence interval. We will also need the value of the sample statistic.

The statement is False.

(d)

The statement is:

"The confidence interval can be obtained if you know only the margin of error and the sample mean"

The confidence interval formula is:

CI=SS\pm MOE

So, if we knew the value of MOE and the sample statistic we can compute the confidence interval.

The statement is True.

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