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Katena32 [7]
3 years ago
11

How do you solve this equation with variables on both sides 3x-6=7x+1

Mathematics
2 answers:
marusya05 [52]3 years ago
7 0

answer

-7/4

Step-by-step explanation:

3x-6=7x+1

you subtract the 3 on both sides

-6=4x+1

then you subtract the 1 on both sides

-7=4x

then divide -7 on each side

x=-7/4

Studentka2010 [4]3 years ago
6 0
-6 turns into +6 then that=7 and 7x + -3x = 4x and 7 divided by 4 = 1.75
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160D^2

Step-by-step explanation:

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3 years ago
The service department of a luxury car dealership conducted research on the amount of time its service technicians spend on each
mart [117]

Answer:

Probability that the mean service time is between 1 and 2 hours is 0.96764.

Step-by-step explanation:

We are given that a systematic random sample of 100 service appointments has been collected.

The 100 appointments showed an average preparation time of 90 minutes with a standard deviation of 140 minutes.

<u><em>Let </em></u>\bar X<u><em> = sample mean service time</em></u>

The z-score probability distribution for sample mean is given by;

                             Z = \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

where, \mu = average preparation time = 90 minutes

           \sigma = standard deviation = 140 minutes

           n = sample of appointments = 100

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, probability that the mean service time is between 60 and 120 minutes is given by = P(60 minutes < \bar X < 120 minutes)

P(60 minutes < \bar X < 120 minutes) = P(\bar X < 120 min) - P(\bar X \leq 60 min)  

  P(\bar X < 120 min) = P( \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } < \frac{120-90}{\frac{140}{\sqrt{100} } } ) = P(Z < 2.14) = 0.98382

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                                                        = 1 - 0.98382 = 0.01618

<em>The above probability is calculated by looking at the value of x = 2.14 in the z table which has an area of 0.98382.</em>

Therefore, P(60 min < \bar X < 120 min) = 0.98382 - 0.01618 = <u>0.96764</u>

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3 years ago
If 5 years ago nina was twice as old as sam, how soon from now will she be 1.5 times as old as sam? if x is sam's age 5 years ag
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I hope this helps you

7 0
2 years ago
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Vinil7 [7]

Answer:

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Step-by-step explanation:

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2 years ago
Read 2 more answers
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