In this figure, the distance from a to b is 10 units. what else is true

Many utility companies promote energy conservation by offering discount rates to consumers who keep their energy usage below cer

aleksley [76]

Answer:

a. 0.1681 = 16.81% probability that all five qualify for the favorable rate.

b. 0.5283 = 52.83% probability that at least four qualify for the favorable rates

Step-by-step explanation:

For each Puerto Rico resident, there are only two possible outcomes. Either they qualify for discounted rates, or they do not. The probability of a person in the sample qualifying for discounted rates is independent of any other person in the sample. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

70% of the island residents of Puerto Rico have reduced their electricity usage sufficiently to qualify for discounted rates.

This means that $p = 0.7$

Five residential subscribers are randomly selected from San Juan, Puerto Rico

This means that $n = 5$

a. All five qualify for the favorable rate

This is P(X = 5). So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 5) = C_{5,5}.(0.7)^{5}.(0.3)^{0} = 0.1681$

0.1681 = 16.81% probability that all five qualify for the favorable rate.

b. At least four qualify for the favorable rates

This is

$P(X \geq 4) = P(X = 4) + P(X = 5)$

So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 4) = C_{5,4}.(0.7)^{4}.(0.3)^{1} = 0.3602$

$P(X = 5) = C_{5,5}.(0.7)^{5}.(0.3)^{0} = 0.1681$

$P(X \geq 4) = P(X = 4) + P(X = 5) = 0.3602 + 0.1681 = 0.5283$

0.5283 = 52.83% probability that at least four qualify for the favorable rates

5 0

3 years ago

Match the term on the left with its image or description on the right. diameter A) a piece of the circumference of a circle circ

prohojiy [21]

Answers:
Diameter - B)
Circumference - F)
Radius - C) or E)*
Secant - E) or C)*
Concentric circles - D)
Arc - A)

* Please, note that you described option C and option E with the same exact words. One of the two is supposed to be different.

Let's see the definition of each term of the list on the left in order to find the right description:

Diameter = any segment connecting two points on a circle passing through its center. Therefore, the correct description is B) a segment between two points on a circle that passes through its center.

Circumference = length of the distance around the circle (it's a sort of perimeter of the circle). Therefore, the correct description is F) the distance around a circle

Radius = constant distance from the center to any point on the circle. Therefore, the correct description is C/E) a line segment connecting the center C and a point B on the circle.

Secant = a line that intersects a circle at any two points. Therefore the correct description is E/C) Circle A and a line segment connecting the points B and C which are both on the circle.

Concentric circles = two circles positioned such as the center of the first one coincides with the center of the second one. Therefore the correct description is D) Two circles that share the same center.

Arc = part of the curve along the perimeter of a circle. Therefore, the correct description is A) a piece of the circumference of a circle.

5 0

3 years ago

Read 2 more answers

A farmer caught some wild pigs to use as founders for a domestic herd. The farmer wants all of her pigs to have one distinctive

nikdorinn [45]

Answer: Breed for black-haired pigs

Step-by-step explanation:

Now according to the statement, the farmer catches wild pigs and mostly are brown.

Since black hair is dominant over brown and also black and brown are dominant over red, this implies that red is the least dominant color meaning if breeding occurs, there would be less chance of getting red colored pigs.

She wants to breed either black or red haired pigs and since black is more dominant so she should breed the black ones with the brown ones or with themselves so she would eventually get pure-breeding herd i.e. of black color.

8 0

3 years ago

Maya has a sandbox that is 4 1/2 feet long, 3 feet wide, and 1/2 foot deep. How many cubic feet of sand does she need to fill th

PolarNik [594]

We need to find the area. So we multiply the dimensions.

3x1/2=1.5

1.5x4 1/2=6.75

Decimal was my go-to so we need to convert back to a fraction.

6.75= 6 3/4

So the answer is B.

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hope it helps

6 0

3 years ago

Find the area of the figure: Select one: a. 59.5 yd^2 b. 81 yd^2 c. 58.5 yd^2 d. 55.3 yd^2

lions [1.4K]

Answer would be 58.5 yd^2 .

You should take the base of the triangle multiplied by the height.

Formula: 1/2×base×height

In this case, you know that base is 13yd and height is 9 yd.

So, apply the formula.

Area = 1/2(13yd)(9yd) = 58.5 yd^2

*Do not include the " invisible length as it is not part of the actual triangle.

*Do not include 32yd as it is a hypotenuse and not a base. Hypotenuse is a side that is opposite a right angle triangle.

8 0

3 years ago