Answer:
The answer is 26b + 45.06667
An insurance company offers two types of insurance: health insurance and life insurance. Let X be the annual claim on the health insurance and Y be the annual claim on the life insurance. The joint density function of X and Y is: Find the probability that the total claims exceed 0.5 but is less than 2 and the claim on the life insurance is less than 1.5.
The joint density equation is missing in the question. The equation is [tex]f(x,y)=\left\{\begin{matrix}2x^3, 0\leq x\leq 1,0\leq y\leq 2\\ 0, \text{ otherwise}\end{matrix}\right.[/tex]
Probability is 0.59
Step-by-step explanation:
We have
x -- denotes the annual claim health insurance
y -- denotes the annual claim life insurance
And joint density of x and y is given to us
[tex]f(x,y)=\left\{\begin{matrix}2x^3, 0\leq x\leq 1,0\leq y\leq 2\\ 0, \text{ otherwise}\end{matrix}\right.[/tex]
Event that the claim exceeds 0.5 but less than 2 can be written as 0.5≤ x+y ≤2
and claim of life insurance less than 1.5 can be written as 0 ≤ y ≤ 1.5
Required probability
= P( 0.5≤ x+y ≤2 ∩ 0 ≤ y ≤ 1.5 )
Lets plot this, to find the common region
For common region
when 0≤ x ≤ 0.5, then 0.5 ≤ y ≤ 1.5 ---- for region I
when 0.5≤ x ≤ 1, then 0 ≤ y ≤ 2-x ---- for region II
The required probability
= [tex]\int_{0}^{0.5} \int_{0.5-x}^{1.5}2x^3 dy dx+\int_{0.5}^{1} \int_{0}^{2-x}2x^3 dy dx[/tex]
= [tex]\int_{0}^{0.5} 2x^3[\int_{0.5-x}^{1.5}dy] dx+\int_{0.5}^{1} 2x^3[\int_{0}^{2-x}dy] dx[/tex]
= [tex]\int_{0}^{0.5} 2x^3(1.5-0.5+x) dx+\int_{0.5}^{1} 2x^3 (2-x) dx[/tex]
= [tex]\int_{0}^{0.5}2x^3 dx+\int_{0}^{0.5}2x^4 dx+\int_{0.5}^{1}4x^3 dx-\int_{0.5}^{1}2x^4[/tex]
= [tex][\frac{2x^4}{4}]_0^{0.5}+[\frac{2x^5}{5}]_0^{0.5}+[\frac{4x^4}{4}]_{0.5}^1-[\frac{2x^5}{5}]_{0.5}^1[/tex]
= [tex]$\frac{1}{32}+\frac{1}{80}+\frac{1}{16}-\frac{31}{20}$[/tex]
= 19/32
=0.59
The line of reflection is
and the coordinates of C are
Points A′, B′, and D′ are shown, but the line of reflection and point C′ are not . coordinates of C from the graph = (4,2) If the coordinates of C'=(6,2) we can see that value of y isn't change with reflection therefore the line of reflection would be x= ordinate of C'+ ordinate of C divided by 2=6+4 divided by 2=10 divided by 2=5. Therefore, the line of reflection must be x=5.
The perimeter of a playing field for a certain sport is 190 ft. The field is a rectangle, and the length is 43 ft longer than the width. Find the dimensions
Answer:
2(L+w) = 190ft (Perimeter)
L + W = 95ft (190 divided by 2)
L = W + 43ft (Given)
W + 43 + W = 95ft
2W + 43 = 95ft
2W = 52ft
W = 26ft
L = 26ft + 43 = 69ft
Answer: The feild is 69ft by 26ft
Hope this helps!!!
- Jarrett Lane
jonshelle is developing a new bread recipe. The relationship between cups of water, w, and cups of flour, f, is w=3/5f what is the scale factor of water to flour?
Answer:
The scale factor of water to flour is simply 3/5 or 3 to 5
Step-by-step explanation:
Here, we are interested in knowing the scale factor of water to flour.
To know this, we simply will rearrange the given equation;
w = 3/5f
Divide both side by f
w/f = 3/5
This shows that the scale factor of water to flour is 3 to 5 or simply 3/5
A village fete has a children’s running race each year, run in heats of up to ten children. For each heat the first three contestants past the finishing line qualify for the final. There are three prizes in the final for 1st, 2nd and 3rd places. One year 29 children enter the race so there are three heats, of ten, ten and nine children. One year 29 children enter the race so there are three heats, of ten, ten and nine children. 1) What is the probability that three randomly chosen competitors win prizes? 2) What is the probability that two randomly chosen competitors win prizes? 3) How many ways are there to select ten competitors for the first heat? 4) Once the competitors have been selected for the first heat, how many different groups of three qualifiers are possible from this heat
Answer: 1) 1/3,654 2) 3/406 3) 72,684,900,288,000 4) 120
Step-by-step explanation:
1) First and Second and Third
[tex]\dfrac{3\ total\ prizes}{29\ total\ people}\times \dfrac{2\ remaining\ prizes}{28\ remaining\ people}\times \dfrac{1\ remaining\ prize}{27\ remaining\ people}=\dfrac{6}{21,924}\\\\\\.\qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \quad =\large\boxed{\dfrac{1}{3,654}}[/tex]
2) First and Second
[tex]\dfrac{3\ total\ prizes}{29\ total\ people}\times \dfrac{2\ remaining\ prizes}{28\ remaining\ people}=\dfrac{6}{812}=\large\boxed{\dfrac{13}{406}}[/tex]
[tex]3)\quad \dfrac{29!}{(29-10)!}=\large\boxed{72,684,900,288,000}[/tex]
[tex]4)\quad _{10}C_3=\dfrac{10!}{3!(10-3)!}=\large\boxed{120}[/tex]
. An airplane took off and reached an altitude of 10,000 feet in 25 minutes. How many feet per minute, on average, did the airplane climb
Answer:
400 feet per minute
Step-by-step explanation:
Because it's feet per minute, you'll divide 10,000 by 25
400 feet per minute
hope this is good enough
Jasmine is a structural engineer. She designs the lift hill of a roller coaster that models the equation y=x3, where y is the height and x is the length from the start of the lift hill. Using this model, how far from the start of the lift hill does the ride reach a height of 343 meters?
Answer:
the anwser is 7 buddy hope it helps
How do you do question #5?
Step-by-step explanation:
If two variables x and y are independent, then:
P(x and y) = P(x) P(y)
Or, in terms of conditional probability:
P(x given y) = P(x)
From part 3, 27.3% of the students are sophomores, 57.8% are juniors, and 14.8% are seniors.
From part 4, 31.6% of procrastinators are sophomores, 53.6% are juniors, and 14.8% are seniors.
Since the percent of procrastinators that are sophmores is not the same as the percent of students that are sophmores, the variables are not independent, which means there is a relationship between academic level and whether students procrastinate.
Express , twelve times a number minus six is less than or equal to
negative eighteen as an equation
Answer:
12x - 6 ≤ - 18
Step-by-step explanation:
We will call "a number" x so
Twelve times a number would be:
12x
Then minus 6
12x - 6
Now we add the less than or equal to sign.
12x - 6 ≤
This is equal to negative eighteen, so:
12x - 6 ≤ - 18
As a bonus we can also solve for x.
12x - 6 = - 18 Add 6 to each side.
12x - 6 + 6 = -18 + 6
12x = -18 + 6
12x = -12 Divide each side by 12
12x/12 = -12/12
x = -12/12
x = -1
So we can say when x ≤ -1 Then 12x - 6 ≤ -18
Snow is falling steadily in syyracuse ny. After two hours 4inches of snow has fallen. write an equation that gives the amount of snow that has fallen after x hours at this rate
Answer:
26
Step-by-step explanation:
For example, x = 13. 1 hour is 2 inches of rain. So 13 x 2 = 26.
10x2-10x+2 from 8x2+7-7
Step-by-step explanation:
10x2-10x+2
20-10x+2
22-10x
8x2+7-7
16+0
16
I'm confused so I add together cuz why not?
16+22-10x
28-10x
A cliff diver leaps from a 100-foot cliff into the Pacific. The diver’s height above the water is modeled by the function P(x) = –16x 2 + 10x + 100, where x is time in seconds. During which interval is the diver at least halfway down
Answer:
2.1 < x <2.5
Step-by-step explanation:
i’m taking the test rn i’m not sure if it’s correct i’ll lyk!
Answer:
B on Edge
Step-by-step explanation:
A deep sea diver is 4.5m below the water level At what depth he is now ? At what height is he now
Answer:
Step-by-step explanation:
Below the sea level should be mentioned by negative value
So, It is = - 4.5
2 – 1 + 5 x 4 x 11 Solve with PEMDAS
Answer:
221
Step-by-step explanation:
2-1+5*4*11
2-1+20*11
2-1+220
1+220
221
The reciprocal of 1/6 is
Answer:
6/1 or 6
Step-by-step explanation:
This is the answer because:
1) The reciprocal of a number is the fraction flipped upside down. Basically, when the numerator becomes the denominator and the denominator becomes the numerator.
2) So when you flip the fraction, you will get 6/1 which equals 6
Hope this helps!
5(5z - 7), when z = -1
Answer:
5(5(-1)-7)
-25-35
-60
Step-by-step explanation:
Answer: -60
Step-by-step explanation:
Image!!
If you get this you are a critical thinker. I enter the garden. There are 34 people. You kill 30. How many people are in the garden. Good luck! If you get it correct your answer will be deleted and I will message you to continue the game. Don't play if you are not going to continue.
Answer:
35 counting yourself.........34 not
7. Marisa has $26 in her purse. She pays $5 for
lunch Which
expression represents this situation? A. -26 -
(-5) B.-26 + 5 C. 26 + (-5) D. 26 + 5
Answer: I think the answer is C
Answer:
yea i agree with kassidy
The Atlas V Rocket could go 1 full mile in just 1/10 of a second. How fast did it travel?
Answer:
10 miles per second
Step-by-step explanation:
if 1/10 seconds is equal to one mile, then 10/10 (1) second would be equal to 10 miles (per second).
The speed of Atlas V Rocket was 10 mile per second.
Here,
The distance travel by Atlas V Rocket was = 1 mile
Time taken = 1/10 second
We have to find the speed of Atlas V Rocket.
What is Speed?
Speed of an object is calculated as;
Speed = Distance/Time
Now,
The distance travel by Atlas V Rocket = 1 mile
Time taken = 1/10 second
Hence, The speed of Atlas V Rocket = [tex]\frac{1}{\frac{1}{10} }[/tex] = [tex]10[/tex]
Therefore, The speed of Atlas V Rocket was 10 mile per second.
Learn more about the speed visit:
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Joe drops a pebble into the sea. The pebble drops 2 inches every second. How many inches below sea level does it drop after 6 seconds?
Answer:
12 inches
Step-by-step explanation:
what is equal to
[tex] \frac{( {2}^{3} ) {}^{3} }{( {3}^{3} ) {}^{3} } [/tex]
A.
[tex]( \frac{2}{3} ) {}^{6} [/tex]
B.
[tex]( \frac{2}{3} ) {}^{9} [/tex]
C.
[tex]( - 6) { }^{6} [/tex]
D.
[tex]( - 6) {}^{9} [/tex]
Answer:
B.
Step-by-step explanation:
what is does p equal if 8-p = -12 -3p
Answer:
8-p=-12-3p
8+12-p = -3p
20 = -3p + p
20 = -2p
20/-2 = p
-10 = p
ans. p = -10
...
Help me withis problem please I'm bad at math.
g(x) = f(x) - 5
We subtract 5 from f(x) because we are doing a vertical shift down 5 units.
Answer: A
Step-by-step explanation:
For this problem, you would need to analyze the graph.
If you notice, both lines look pretty identical with the exception of one lower than the other. As you can see, the blue line is the same as the red line, but shifted down by 5. Therefore, you would subtract f(x) by 5. That would make A our answer.
help um. Order the set of numbers from least to greatest
5/2 , √5 , 2¾ , 2.71 (bar)
am not really sure but i guess that is what I know.
Answer:
[tex]2\frac{3}{4}, 2.71, \sqrt{5}, \frac{5}{2}[/tex]
Step-by-step explanation:
Just convert them all to a decimal, I'm too lazy to write it all out...
Will give 100 points.
Answer:
Ф = 66.2°
Step-by-step explanation:
The formula for work as
W = Fd cos(Ф)
cos(Ф) = W / Fd
Ф = cos^(-1)〖W/Fd
Ф = cos^(-1)〖110/33(8.25) 〗
Ф = 66.2°
Answer:
Ф = 66.2°
Step-by-step explanation:
10 [12 2+ (4 x 2)] ÷ 8 2
At a dance supply store dance pants cost $30 each and leotards cost $18 each you have $175 to spend you are going to buy 3 pairs of pants what is the greatest number of leotards you can buy
answer
4 pairs
Step-by-step explanation:
total is $175
when you buy three pairs of pants you have wasted $90
175-90 equals 85
A hand-held digital music player was marked down by 1/4 of the original price. If the sales price is $128, what is the original price? Show work and explain
Which angle pairs are supplementary? Check all that
apply.
Angle 1 and angle 2
Angle 4 and angle 3
Angle 4 and angle 5
Angle 7 and angle 5
Angle 3 and angle 6
Here, Angle 1 and angle 2, Angle 4 and angle 3 and Angle 7 and angle 5 are supplementary angles.
We need to identify which angle pairs are supplementary.
What are supplementary angles?Supplementary angles are two angles with a sum of 180°.
Here, Angle 1 and angle 2, Angle 4 and angle 3 and Angle 7 and angle 5 are supplementary angles.
To learn more about supplementary angles visit:
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What is the constant in the expression 9y + 12
In this expression, the constant would be 12.
A constant is simply a term that has no variable next to it.