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3 years ago

14

Sam must score greater than a 70 on his test to pass the class. Which inequality represents this? x < 70 x < 70 x > 70

x > 70

1 answer:

KatRina [158]3 years ago

6 0

X>70 is the correct answer, no underline.

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The operator of a pumping station has observed that demand for water during early afternoon hours has an approximately exponenti

melomori [17]

Answer:

a) 0.1496 = 14.96% probability that the demand will exceed 190 cfs during the early afternoon on a randomly selected day.

b) Capacity of 252.6 cubic feet per second

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

The operator of a pumping station has observed that demand for water during early afternoon hours has an approximately exponential distribution with mean 100 cfs (cubic feet per second).

This means that $m = 100, \mu = \frac{1}{100} = 0.01$

(a) Find the probability that the demand will exceed 190 cfs during the early afternoon on a randomly selected day. (Round your answer to four decimal places.)

We have that:

$P(X > x) = e^{-\mu x}$

This is P(X > 190). So

$P(X > 190) = e^{-0.01*190} = 0.1496$

0.1496 = 14.96% probability that the demand will exceed 190 cfs during the early afternoon on a randomly selected day.

(b) What water-pumping capacity, in cubic feet per second, should the station maintain during early afternoons so that the probability that demand will exceed capacity on a randomly selected day is only 0.08?

This is x for which:

$P(X > x) = 0.08$

So

$e^{-0.01x} = 0.08$

$\ln{e^{-0.01x}} = \ln{0.08}$

$-0.01x = \ln{0.08}$

$x = -\frac{\ln{0.08}}{0.01}$

$x = 252.6$

Capacity of 252.6 cubic feet per second

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3 years ago

A hawk is sitting on the branch of a tree Question Image ft above the ground. It flies 28.3 ft higher in the air, drops down by

nikklg [1K]

A hawk is sitting on the branch of a tree Question Image ft above the ground. It flies 28.3 ft higher in the air, drops down by 8.2 ft, and then a short time later flies down another Question Image ft onto the branch of another tree. Write an expression that represents the change in the bird’s height. Which of the two branches is higher above the ground?
Please help me asap!
Will mark as Brainliest for first correct answer.

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3 years ago

Which property is shown? –7 + 24 = 24 + (–7) A. associative property B. distributive property C. opposite of a sum property D. c

erastova [34]

B Commutative Property

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3 years ago

Read 2 more answers

Kenneth has a goal to work 287 hours each month at the pizza shop. So far he has worked 124

murzikaleks [220]

Answer:

163

Step-by-step explanation:

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2 years ago

You decide to go to dinner with three friends. Before the check comes, the group decides to split the check evenly. The total

NeX [460]

Answer:

You each will pay $40.35

Step-by-step explanation:

First you take the total $134.50 and divide it by 4 which is you and your three friends.

This will give you 33.625 which is the amount each of you will pay without tip.

To find the tip you take 20% from $134.50 which will give you 26.9 and when you divide that by the four of you it will give you 6.725.

Then you take your amount 33.625 plus your tip 6.725 which will give you $40.35.

The total you all will pay will be $161.40 this is the total $134.50 plus the tip $26.90.

Hope this helped.

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2 years ago