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3 years ago

The area of a square is 49 square inches or less. Which set describes the domain for s, the

Mathematics

1 answer:

Sever21 [200]3 years ago

8 0

Step-by-step explanation:

Any positive number can. be a side length. It cannot pass 7 because a square with 49 sqr lnches as a area has side lengths with the measures of 7.

$0 \leqslant x \leqslant 7$

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The computer that controls a bank's automatic teller machine crashes a mean of 0.6 times per day. What is the probability that,

professor190 [17]

Answer:

0.2103 = 21.03% probability that, in any seven-day week, the computer will crash less than 3 times.

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 interval.

Mean of 0.6 times a day

7 day week, so $\mu = 7*0.6 = 4.2$

What is the probability that, in any seven-day week, the computer will crash less than 3 times? Round your answer to four decimal places.

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)$

In which

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

$P(X = 0) = \frac{e^{-4.2}*(4.2)^{0}}{(0)!} = 0.0150$

$P(X = 1) = \frac{e^{-4.2}*(4.2)^{1}}{(1)!} = 0.0630$

$P(X = 2) = \frac{e^{-4.2}*(4.2)^{2}}{(2)!} = 0.1323$

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0150 + 0.0630 + 0.1323 = 0.2103$

0.2103 = 21.03% probability that, in any seven-day week, the computer will crash less than 3 times.

3 0

3 years ago

8.<br> f(x) = -0.75x<br> find the inverse function f-1(x) for the given functions f(x)

olasank [31]

Answer:

$\frac{x}{-0.75}=y$

Step-by-step explanation:

To find the inverse of a function, you switch the x and y values and solve for y. (keep in mind that f(x) is just another way of writing y)

$y=-0.75x\\x=-0.75y\\\frac{x}{-0.75}=y$

so $\frac{x}{-0.75}=y$ is our answer

3 0

3 years ago

PLEASE HELP ASAP!!

QveST [7]

Answer:

The radius of the circle is 3.5 inches.

Step-by-step explanation:

The radius is half the diameter:R= 1/2 d

Substitute the value of d (7 inches) in the formula to find r:

r= 1/2 x 7 in

r= 3.5 in

7 0

3 years ago

Read 2 more answers

Ken's landscape gardening business creates odd-shaped lawns that include semicircles. Find the area of this semicircular section

salantis [7]

Answer:

Area of semicircular lawn is 9.82 square meter.

Step-by-step explanation:

Given:

Diameter of the semicircle = 5 m

So we will find the radius.

Radius is half of the diameter.

Radius $r=\frac{5}{2}=2.5\ m$

We need to find the area of the lawn.

Solution:

Now we know that;

Area of semicircle is half times π times square of the radius.

framing in equation form we get;

Area of semicircular lawn = $\frac12\pi r^2=\frac12\times\frac{22}{7}\times 2.5\times 2.5=9.82\ m^2$

Hence Area of semicircular lawn is 9.82 square meter.

7 0

3 years ago

Shivaun claims that the opposite of the opposite of a number is itself.

lidiya [134]

The answer is -6+6=0

5 0

3 years ago