(-3x^2+9x-9)+(-9x^2+9x+3) plsss help

Some parts of California are particularly earthquake-prone. Suppose that in one metropolitan area, 32% of all homeowners are ins

Bumek [7]

Answer:

$P(X = 0) = 0.2138$

$P(X = 1) = 0.4025$

$P(X = 2) = 0.2841$

$P(X = 3) = 0.0891$

$P(X = 4) = 0.0105$

Step-by-step explanation:

For each homeowner, there are only two possible outcomes. Either they have invested in earthquake insurance, or they have not. The probability of a home owner having invested in earthquake insurance is independent from other homeowners. So we use the binomial probability distribution 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.

32% of all homeowners are insured against earthquake damage.

This means that $p = 0.32$

Four homeowners are to be selected at random.

This means that $n = 4$

Find the probability distribution of X.

This is the probability of each outcome

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

$P(X = 0) = C_{4,0}.(0.32)^{0}.(0.68)^{4} = 0.2138$

$P(X = 1) = C_{4,1}.(0.32)^{1}.(0.68)^{3} = 0.4025$

$P(X = 2) = C_{4,2}.(0.32)^{2}.(0.68)^{2} = 0.2841$

$P(X = 3) = C_{4,3}.(0.32)^{3}.(0.68)^{1} = 0.0891$

$P(X = 4) = C_{4,4}.(0.32)^{4}.(0.68)^{0} = 0.0105$

6 0

3 years ago

Benton has an extension ladder than can only be used at a length of 10 feet, 15 feet, or 20 feet. He places the base of the ladd

Dmitriy789 [7]

A. 10 feet.

Think of it like this:

The wall is upright, it's 90° and it's 8 feet high. The distance from the bottom of the ladder to the bottom of the wall (along the ground, which is perpendicular to the wall) is 6 feet. When Benton places the base of the ladder 6 feet away from the wall and the top is resting at the top of the wall, it looks like a triangle, right?

Using pythagoras (this rule about right-angled triangles and stuff), we can already see that the two sides when simplified are 3:4. Because the 'triangle' is a right-angled triangle, the other side HAS to be 5 to complete the ratio. We just multiply it by 2 to get the correct ratio and that's your answer!

7 0

3 years ago

Select the inequalities represented by the graph below. Select all that apply

skad [1K]

First we find the equation of the line. Notice that the line goes through the point (0,c). Since c is on the y-axis, c is the y-intercept. To find the slope take any two points and count the boxes (up or down) from one to the other. Divide that by the number of boxes (left and right) from one to the other. I chose (0,c) and (1,-1) so I traveled down 2 and right 1. Down (negative) 2 and right (positive) 1 gives me a slope of -2/1 = -2.

The equation of a line is given by y = my +b where m is the slope (here -2) and b is the y-intercept (here c). That makes the equation of the line y=-2x+c.

The shading occurs above the line so we use either greater than (>) or the greater than or equal to sign $( \geq )$ . The way we decide is whether the line is solid (as it is here) or dashed. Here it is solid so we use greater than or equal to.

That makes the correct answer the 5th choice from the top: $y \geq -2x+c$

3 0

3 years ago

Can anyone help me with this geometry test please like I will do anything!! I will give brainlist!!

sammy [17]

Answer:

It c

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

A teacher bought a packet of 17 batteries. Each calculator uses 3 batteries. How many calculators can the teacher fill with batt

Mumz [18]