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2 years ago

Solve the following equation for x: 6x-16=14

Mathematics

1 answer:

Ivenika [448]2 years ago

8 0

To solve the equation for x, first, we add 16 from both sides of the equation:

$\begin{gathered} 6x-16+16=14+16, \\ 6x=30. \end{gathered}$

Now, we divide by 6:

$\frac{6x}{6}=\frac{30}{6}.$

Finally, we get that:

$x=5.$

Answer:

$x=5.$

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svet-max [94.6K]

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3 years ago

-3D - 15 i dont get how to do gcm or factoring out

Nookie1986 [14]

Answer:

-3 (D+5)

Step-by-step explanation:

Problem: -3D -15

what you do is find the highest number each one is divisible by.

In this case they can both be divided by -3.

Bring it out of the parenthesis and leave the rest inside

Thus leaving -3 (D+5)

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4 years ago

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OverLord2011 [107]

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4 years ago

Cars arrive at the Wendy's drive-through at a rate of 1 car every 5 minutes between the hours of 11:00 PM and 1:00 AM. on Saturd

mestny [16]

Answer:

1) $P(X = 8) = 0.1033$

$P(X = 9) = 0.0688$

2) Expected number of 200 restaurants in which exactly 8 customers use the drive-through: 20.66

Expected number of 200 restaurants in which exactly 9 customers use the drive-through: 13.76

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

$e = 2.71828$ is the Euler number

$\mu$ is the mean in the given time interval.

Question 1. Use the Poisson distribution to calculate the probability that exactly 8 cars will use the drive-through between 12:00 midnight and 12:30 AM on a Saturday night at Wendy's. Do the same for exactly 9 cars.

Cars arrive at the Wendy's drive-through at a rate of 1 car every 5 minutes between the hours of 11:00 PM and 1:00 AM. on Saturday nights. This means that during 30 minutes, 6 cars expected to arrive. So $\mu = 6$ .