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3 years ago

11

Note that 3 is a factor of 21. This means that 3×[]=21. Another way to write this is 3×n=21. Find a value of n that makes the st

atement true.

1 answer:

mash [69]3 years ago

7 0

Answer:

n=9

Step-by-step explanation:

$3*9=21$

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Question is attached, please explain a little:) will mark BRAINLIEST

Alexus [3.1K]

Answer:

D

Step-by-step explanation:

We know it has 2 distinct zeros. This means the discriminant of the quadratic is positive and must have 2 real zeros that can be rational or irrational. We also know the quadratic has rational coefficients which means both are either rational or irrational. They can not be one of either. Since it tells us one is rational, the other must be too.

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4 years ago

A screen has side lengths of 10 ft and

Strike441 [17]

The length from one corner to the opposite corner is 26 feet

The screen is the shape of a rectangle.

The length from one corner to the opposite corner is known as the diagonal or hypotenuse. The diagonal separates the rectangle into 2 right-angled triangles . The diagonal's value can be determined using Pythagoras theorem

The Pythagoras theorem: a² + b² = c²

where a = length

b = width

c = diagonal

10² + 24²

100 + 576

= 676

determine the value of the square root

√576 = 26 feet

To learn more about Pythagoras theorem, please check: brainly.com/question/20936855?referrer=searchResults

3 0

2 years ago

What is 272 divided by 4

DochEvi [55]

272 divided by 4 is 68

6 0

3 years ago

Read 2 more answers

A horizontal line , such as y=4, has a slope of what

SpyIntel [72]

Answer:

0

Step-by-step explanation:

A horizontal line has a slope of zero and a vertical line has an undefined slope

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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:

$P(X > x) = 0.08$

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

5 0

3 years ago