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3 years ago

Can someone help and explain this because I don't get it!

Mathematics

1 answer:

creativ13 [48]3 years ago

3 0

The area of a triangle in determined by the formula:
$\frac{b \times h}{2}$
where b is the base of the triangle and h is it's height

You just have to replace the b and h with their values in the formula (b=9.9ft and h=5.5ft)
$\frac{b \times h}{2} = \frac{9.9 \times 5.5}{2} =27.225$

The answer is 27.225 ft^2

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In Terry's hometown, the probability of snow on Saturday is approximately 0.07. Which of the following

Dmitry [639]

Answer:

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.

the probability it would snow is 0.07 or 7%. this is quite low. so, it is unlikely that it would snow

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3 years ago

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6 ft 10 in + 8 ft 9 in = 15 ft 7 in

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2 years ago

What is the density of a piece of wood<br> that has a mass of 17.5 grams and a<br> volume of 20 cm'?

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0.875 is the density for this question

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2 years ago

The equation f = v + at represents the final velocity of an object, f, with an initial velocity, v, and an acceleration rate,

Veronika [31]

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3 years ago

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:

$P(X > x) = 0.08$

$e^{-0.01x} = 0.08$

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

$-0.01x = \ln{0.08}$

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

$x = 252.6$

Capacity of 252.6 cubic feet per second

5 0

2 years ago