A.it is a function B.it is not a function

The point (5,4) lies on a circle. What is the length of the radius of

Flura [38]

Answer:

$\large\boxed{r=2\sqrt2}$

Step-by-step explanation:

The radius (r) length is equal to the distance between the center of the circle and the point on the circle.

The formula of a distance:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Substitute the coordinates of the given points (5, 4) and (3, 2):

$r=\sqrt{(3-5)^2+(2-4)^2}\\\\r=\sqrt{(-2)^2+(-2)^2}\\\\r=\sqrt{4+4}\\\\r=\sqrt{(4)(2)}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\r=\sqrt4\cdot\sqrt2\\\\\boxed{r=2\sqrt2}$

8 0

3 years ago

4. The product of 32 and n is equal to 59.13.

Ivanshal [37]

Answer:

pretty sure it is 1.8478125

Step-by-step explanation:

5 0

3 years ago

A major hurricane is a hurricane with wind speeds of 111 miles per hour or greater. During the 20th century the mean number of t

Bas_tet [7]

Answer:

a) 0.3293 = 32.93% probability that the number of major hurricane to strike U.S mainland in any any give year is exactly one.

b) 0.878 = 87.8% probability that the number of major hurricane to strike U.S mainland in any any give year is at most one.

c) 0.122 = 12.2% probability that the number of major hurricane to strike U.S mainland in any any give year is more than one.

Step-by-step explanation:

We have the mean during an interval, which means that the Poisson distribution is used to solve this question.

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.

During the 20th century the mean number of the major hurricanes to strike U.S mainland per year was 0.6.

This means that $\mu = 0.6$

Find the probability that the number of major hurricane to strike U.S mainland in any any give year is:

a) Exactly one

This is P(X = 1). So

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

$P(X = 1) = \frac{e^{-0.6}*0.6^{1}}{(1)!} = 0.3293$

0.3293 = 32.93% probability that the number of major hurricane to strike U.S mainland in any any give year is exactly one.

b) At most one

This is:

$P(X \leq 1) = P(X = 0) + P(X = 1)$

Then

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

$P(X = 0) = \frac{e^{-0.6}*0.6^{0}}{(0)!} = 0.5488$

$P(X = 1) = \frac{e^{-0.6}*0.6^{1}}{(1)!} = 0.3293$

$P(X \leq 1) = P(X = 0) + P(X = 1) = 0.5488 + 0.3292 = 0.878$

0.878 = 87.8% probability that the number of major hurricane to strike U.S mainland in any any give year is at most one.

c) More than one

This is:

$P(X > 1) = 1 - P(X \leq 1) = 1 - 0.878 = 0.122$

0.122 = 12.2% probability that the number of major hurricane to strike U.S mainland in any any give year is more than one.

6 0

3 years ago

Use the distributive property to find the product of 9 and 23.

Aleks04 [339]

9 x 23 = 207 So the answer is D. product means the answer of a multiplication question. The associative property states that you can add or multiply regardless of how the numbers are grouped. By 'grouped' we mean 'how you use parenthesis'. In other words, if you are adding or multiplying it does not matter where you put the parenthesis

3 0

3 years ago

Read 2 more answers

Rephrase: what is 35% of $120?

Alex777 [14]

Answer:

What is 35 percent off 120 dollars?

Step-by-step explanation:

Thus, a product that normally costs $120 with a 35 percent discount will cost you $78.00, and you saved $42.00. You can also calculate how much you save by simply moving the period in 35.00 percent two spaces to the left, and then multiply the result by $120 as follows: $120 x . 35 = $42.00 savings.

Hope I Helped! :D

7 0

4 years ago

Read 2 more answers