Some parts of California are particularl earthquake prone. Suppose in one metropolitan area, 40% of all homeowners are insured against earthquake damage. Four homeowners are selected at random. Let X denote the number among the four who have earthquake insurance. Assume that the event of each homeowner having or not having insurance is independent.

Required:
a. Find the probability mass function of X?
b. What is the most likely value for X?
c. What is the probability that at least two of the four selected have earthquake insurance?

Answer:

y = [tex]\frac{1}{2}[/tex] x + 8

Step-by-step explanation:

A(2, 9)

B(6, 1)

[tex]m_{AB}[/tex] = [tex]\frac{1-9}{6-2}[/tex] = - 2

AB ⊥ AD ⇒ [tex]m_{AD}[/tex] = [tex]\frac{1}{2}[/tex]

A(2, 9)

y - 9 = [tex]\frac{1}{2}[/tex] (x - 2)

y = [tex]\frac{1}{2}[/tex] x + 8

Answer:

c

Step-by-step explanation:

Answer:

KKKK

Step-by-step explanation:

Answer:

10 minutes

Step-by-step explanation:

If you divide both sides by 2 you get 6 miles and 1 hour.

Divide it again by 2 and you get 3 miles and 30 minutes.

Divide that by 3 and you get 1 mile in 10 minutes.

1 = 70

2 = 20

3 = 70

4 = 20

5 =110

Answer:

m<4= 60

m<1=60

m<3=30

Step-by-step explanation:

I'd like to explain but I would be very difficult to do with out being in person

Answer:

m1 = 60°

m2 = 90°

m3 = 30°

m4 = 60°

Step-by-step explanation:

m<5 + m<4 = 180° ( on a straight line)

120° + m<4 = 180°

m<4 = 60°

m<2 = m<3 + m<4

90° = m<3 + 60° ( on a straight line)

m<3 = 90° - 60°

m<3 = 30°

m<1 + m<2 + m<3 = 180°

m<1 = 180 - 90 -30

m<1 = 60°

Answer:

Point A: (4, -3)

Point B: (3, -12)

Point C: (-1, -5)

Step-by-step explanation:

Reflection of point A:

The x will stay the same and only the y will change.

Take the y-coordinate and subtract it from the reflection line while getting the absolute value..

|(-1) - (-2)| = |1| = 1

This means, point A is one unit down the line y = -2

(-2) - 1 = -3

The coordinate for A will now be (4, -3).

Reflection of point B:

Again, the x will stay the same and only the y will change.

Using the absolute value, get the y-coordinate and subtract it from the reflection line again..

|(8) - (-2)| = |10| = 10

This means, point A is five unit down the line y = -2

(-2) - 10 = -17

The coordinate for B will now be (3, -12).

Reflection of point C:

I think you get the gist of it.

|(1) - (-2)| = |3| = 3

(-2) - 3 = -5

The coordinate for C will now be (-1, -5).

I added an image down below of what the reflection looks like. Sometimes it helps to see things visually.

The red triangle is the original image and the blue triangle is the image after the reflection. The purple line is the reflection line y = -2

Hope this helped!

Answer: At the end of 10 years, your savings will have grown to $9,407.

Step-by-step explanation: You will have earned in $2,407 in interest.

Answer:

A. 2.6, 8.1, 10.2

Step-by-step explanation:

According to the Triangle Inequality, the sum of any two sides has to be greater than the third side. From those answer choices, only 2.6, 8.1, 10.2 satisfy the Triangle Inequality.

Answer:

I believe it is x+3..

Step-by-step explanation:

Answer:

x = 5

which agrees with the first answer option listed

Step-by-step explanation:

Use the proportionality associated with similar triangles, considering that the larger triangle has sides:

x + (x+5) = 2 x + 5

and

(x+1) + (x-2) = 2 x - 1

and the smaller triangle:

x   and  (x-2)

The we build the following proportionality:

(2 x + 5) / x  = (2 x - 1) / (x - 2)

cross multiply to eliminate denominators:

(2 x + 5) (x - 2) = x (2 x - 1)

operate:

2 x^2 - 4 x + 5 x -10 = 2 x^2 - x

combine like terms:

2 x^2 + x -10 = 2 x^2 - x

subtract 2 x^2 from both sides:

x - 10 = - x

add x to both sides:

2 x  -10 = 0

add 10 to both sides

2 x= 10

divide both sides by 2:

x = 5

which agrees with the first answer option listed

hi! i'm not really sure if i comprehend this question clearly, but if you're talking about the vowels in the word "numbers"...

Answer:

the letter "u" and "e"

Step-by-step explanation:

vowels in english are: a, e, i, o, u

hope this helped but if you have any others questions, please feel free to let me know!

Answer:

23x+y=-16

Step-by-step explanation:

Answer:

40% chose superman or thor

8% chose thor more than hulk

And 12% chose batman than Thor

Answer:

1) 40% of people chose Superman or Thor

2) 8% more people chose Thor than The Hulk

3)  15% more people chose Thor than Batman

Step-by-step explanation:

29 + 11 + 13 + 13 + 21 = 86

100 - 86 = 14

Batman: 14%

29 + 11 = 40

29 - 21 = 8

29 - 14 = 15

Answer:

What is X its fiesty

Step-by-step explanation:

fdsfa

Answer:

1/6

Step-by-step explanation:

Use conditional probability:

P(A given B) = P(A and B) / P(B)

P(4 given 3) = P(4 and 3) / P(3)

P(4 given 3) = (1/36) / (1/6)

P(4 given 3) = 1/6

Answer:

The width is 8

Step-by-step explanation:

if the ratio of length to width is 9 to 4. and we know the length is 18, 18 is 2 times as much as 9, so 4*2=8.                   9*2=18,4*2=8

Answer:

The width of the rectangle is 8.

Step-by-step explanation:

I found this answer after taking a quiz and getting it wrong. After that I wanted to find this question on Brainly and answer it so others wouldn't get it wrong.

HOPE IT HELPS :)

Answer:

-6/10  or  -0.6

Step-by-step explanation:

m=y2-y1/x2-x1

-3-3=(-6)

5-(-5)=10

-6/10

hope this helps :3

if it did pls mark brainliest

Step-by-step explanation:

1. 200 = 10h

320 =

320x10 / 200

= 16h

2. 1.5 = 50m

x = 150 m

150x1.5 / 50

= 4.5cm

3. 4$ = 40balls

x = 100balls

100x4 / 40

= $10

Answer:

True because Plants need Carbon Air to grow. Seashells are made of tiny carbon atoms, Wood is 50% carbon and water is H20 known as Hydrogen and Oxygen. Water DOES have some Carbon in it! It gets the Carbon Dioxide from the rain!

Answer: -12x + 30

Step-by-step explanation:

Answer:

the answer is b

Step-by-step explanation:

-6(2x-5)

-6(2x+5)

-6(2x) + 6(5)

-12x +30

Answer:

A I think that is the ans

Answer:

6a-18

Step-by-step explanation:

Answer:

decimal: .3333(repeatin)

percent:33.333333...%

Step-by-step explanation:

hope this helpss

have a good night

nd good luck w thiss

Answer:

Decimal: .33

Percent: 33%

Step-by-step explanation:

To get the decimal, you divide the top number by the bottom number. So you divide 1 by 3, which equals .33

To get the percentage, you move the deciaml back twice.

.33 -> 3.3 -> 33.=33%

Two numbers whose sum is 10 is required.

The answer is

Minimum: 5, 5

Maximum: 9, 1

Let [tex]x[/tex] and [tex]y[/tex] be two numbers

[tex]x+y=10\\\Rightarrow y=10-x[/tex]

The sum of the squares would be

[tex]x^2+y^2=x^2+(10-x)^2\\ =2x^2-20x+100[/tex]

[tex]f(x)=2x^2-20x+100[/tex]

Differentiating with respect with x

[tex]f'(x)=4x-20[/tex]

Equating with zero

[tex]4x-20=0\\\Rightarrow x=\dfrac{20}{4}\\\Rightarrow x=5[/tex]

Double derivative of f(x)

[tex]f''(x)=4[/tex]

[tex]f''(x)>0[/tex]

So, at [tex]x = 5[/tex] the value of the function is minimum.

Therefore, at [tex]x=5[/tex] and [tex]y=10-5=5[/tex] the function has minimum value of [tex]5^2+5^2=50[/tex]

For the finding the maximum values of [tex]x[/tex] and [tex]y[/tex] we have to use trial and error method

[tex]9^2+1^2=82[/tex]

[tex]8^2+2^2=68[/tex]

[tex]7^2+3^2=58[/tex]

[tex]6^2+4^2=52[/tex]

0 and 10 will not be considered as 0 is neither positive nor negative.

So, the maximum value of the numbers is 9 and 1 and the maximum value of the function is 82.

Learn more:

https://brainly.com/question/1625850?referrer=searchResults

Answer:

$4.80

Step-by-step explanation:

6 oranges for 1.80

sp 6 divided by 1.80 comes out to 0.3 per orange

0.3 times 16 comes out to 4.80

therefor $4.80

Answer:

$4.80

Step-by-step explanation:

1.80/6=0.3

0.3=$0.30 for each orange

16×0.3=4.8

4.8=$4.80 for 16 oranges

Answer:

50 miles per hour

Step-by-step explanation:

if 40 makes him 30 mins late and 60 makes him 30 mins early then it only would make since that in between both 40 and 60 is 50 and that would make him go on time

*i had trouble wording that so yeah sorry about that*

Answer:

Step-by-step explanation:

triangle area = (length*width)/2

height(length): x

base(width): 8x

area = 45

8x^2=45

solve for x

Answer:

There would be four small marbles and twelve large marbles so your answer should be sixteen marbles in total

Step-by-step explanation: