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3 years ago

For f(x) = 5x +1 , find f(-4)

Mathematics

1 answer:

julia-pushkina [17]3 years ago

3 0

For f(x) = 5x +1 , find f(-4)
f(-4) = 5(-4) +1 = -19

answer
A, -19

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The rate at which customers are served at an airport check-in counter is a Poisson process with a rate of 8.1 per hour. The prob

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Answer:

Value of a is 0.667

Step-by-step explanation:

We are given the following in the question:

The rate of customer at an airport follows a Poisson distribution with

$\lambda = 8.1$

The normal approximation of Poisson distribution can be done in the following manner

$\mu = \lambda = 8.1\\\sigma^2 = \lambda = 8.1\\\sigma = \sqrt{8.1} = 2.85$

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We have to find the value of a such that

$P(X_p > 50)=P(Z > a)$

More than 50 customers per 5 hours means more than 10 customer per hour.

Thus, we can write

$P( x > 10) = P( z > \displaystyle\frac{10 - 8.1}{2.85}) = P(z > 0.667)$

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3 years ago

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ZR=AY, RL=YH, L equals H, Z equals A , ah =zl,

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3 years ago

4 groups of 9 write the equation

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9x4=? Because there are 4 groups of 9 so it is multiplication.

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4 years ago

Read 2 more answers

In a sample of 100 steel canisters, the mean wall thickness was 8.1 mm with a standard deviation of 0.5 mm. Someone says that th

Travka [436]

Answer:

This statement can be made with a level of confidence of 97.72%.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 8.1 mm

Standard Deviation, σ = 0.5 mm

Sample size, n = 100

We are given that the distribution of thickness is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

Standard error due to sampling:

$=\dfrac{\sigma}{\sqrt{n}} = \dfrac{0.5}{\sqrt{100}} = 0.05$

P(mean thickness is less than 8.2 mm)

P(x < 8.2)

$P( x < 8.2)\\\\ = P( z < \displaystyle\frac{8.2 - 8.1}{0.05})\\\\ = P(z < 2)$

Calculation the value from standard normal z table, we have,

$P(x < 8.2) =0.9772 = 97.72\%$

This statement can be made with a level of confidence of 97.72%.

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4 years ago

Jackson drove 1,080 miles in 20 hours. What was his speed in miles per hour?

Darina [25.2K]

Answer:

54mph

Step-by-step explanation:

To find the speed in "miles per hour" or miles/hour, divide the number of miles by number of hours.

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3 years ago