Answer:
1) The expected value of the number of moving violations for which the individual was cited during the last 3 years is 1
2) The expected amount of surcharges is $250
Step-by-step explanation:
Given that;
Y 0 1 2 3 4
p(y) 0.50 0.20 0.15 0.10 0.05
1)
Value of E(Y)
E(Y) = (0×0.50) + ( 1×0.20) + ( 2×0.15) + (3×0.10) + (4×0.05)
= 0 + 0.20 + 0.3 + 0.3 + 0.2
E(Y) = 1
Therefore, The expected value of the number of moving violations for which the individual was cited during the last 3 years is 1
b)
Suppose an individual with Y violations incurs a surcharge of $100Y² , the expected amount of the surcharge is given by,
E($100Y²) = 100E(Y)²
= 100∑Y²P(y)
= 100(0²×0.50) + ( 1²×0.20) + ( 2²×0.15) + (3²×0.10) + (4²×0.05)
= 100( 0 + 0.2 + 0.6 + 0.9 + 0.8 )
= 100(2.5)
= $250
Therefore; The expected amount of surcharges is $250
what is the greatest conman factor of -32x3+41x4y
Answer:
x^3
Step-by-step explanation:
Help help help help help
I gotta take a big śhit
If line q has a slope of -3/8, what is the slope of any line perpendicular to to q?
Answer:
The slope of line perpendicular to line q is 8/3.
Step-by-step explanation:
Given that:
Slope of a line q is -3/8
Slope is the steepness of any line.
Let,
x be the slope of line perpendicular to line q.
The product of slopes of two perpendicular lines is equal to -1.
[tex]\frac{-3}{8}x = -1[/tex]
Multiplying both sides -8/3
[tex]\frac{-8}{3}*\frac{-3}{8}x=-1*\frac{-8}{3}[/tex]
x = 8/3
Hence,
The slope of line perpendicular to line q is 8/3.
56+7= _ + _ =
using number bonds by making a 10 or adding to the ones
Answer:
60+3
Step-by-step explanation:
What is the least number n with the property that, in every group of n people, there are at least three people who are all friends
Answer:
hello your question is incomplete attached below is a the complete question
answer : n = 5
Step-by-step explanation:
lets consider N to be 5
To prove that the least number 'n' = 5
we will represent this information in a graph as vertex
Black edge = Friends
Blue edge = not Friends
From the attached diagram any vertex contains 0,1,2,3,4 black lines and 4,3,2,1,0 blue lines
attached below is an explanation related to the choice of n = 5
considering n = 5 is satisfied by the explanation given
What is the point-slope form of a line with a slope -3 that contains the point (10,-1)
Here's the formula:
y - y1 = m(x - x1)
Substitute numbers accordingly:
y1: so 1 goes in the y1 spot (you switch the signs because it was already negative)
x1: and 10 goes to the x1 spot
m: -3 belongs in m
What is 55 percent of 880?
Answer:
55% of 880= 484
Step-by-step explanation:
Find the slope of the line that contains the pair of points.
(3, 4) and (4,1)
The slope is
Answer:
-3
Step-by-step explanation:
1-4/4-3 is -3/1 which is -3
Find the slope of the line that passes through the points (1,-5) and (5. 7).
Answer:
y= 5.7x-10.7
Step-by-step explanation:
the formula is y=mx+b
rearrange p=s+dgh ??????????
A water pipe is 4 7/12 feet beneath the surface of the road. What is the elevation of the pipe, in feet, expressed as a decimal?
Answer:
4.5833feet
Step-by-step explanation:
Given the elevation of a water pipe as 4 7/12 feet
Expressing as decimal
4 7/12
= 4 + 7/12
= 4 + 0.5833
= 4.5833
Hence the elevation of the pipe expressed as a decimal is 4.5833feet
Find the circumference of the given circle. Use 3.14 as an approximation of T.
(7in.)
A. 31.4in
B. 43.96in
C. 27in
D. 25in
Answer21.98
Step-by-step explanation:
Solve the proportion for k: 5/3 = ( k + 7 )/12
Answer: k = 13
5/3 = (k + 7)/12
⇔ 12.5/3 = k + 7
⇔ 20 = k + 7
⇔ k = 20 - 7
⇔ k = 13
Step-by-step explanation:
Answer:
k = 13
Step-by-step explanation:
To get k by itself, multiply both sides by 12 (left with 20 = k + 7). Next, subtract 7 from both sides (13 = k).
one third of a number, w, reduced by 7?
Answer:
4
Step-by-step explanation:
A surveyor has taken- if you know this please help
Step-by-step explanation:
the distance is equal to... 800²+700²-2×800×700×cos70=733,4
Divide: 8a^8–20a^6 +2a^4/
4a^3
Answer:
This comes out as 2a⁵ - 5a³ + a / 2
Step-by-step explanation:
We could use long division for this but since the denominator is a single term, we can just divide each term by that individually
[tex]\frac{8a^8 - 20a^6 + 2a^4}{4a^3} \\\\= \frac{8a^8}{4a^3} - \frac{20a^6}{4a^3} + \frac{ 2a^4}{4a^3} \\\\= 2a^5 - 5a^3 + \frac{1}{2}a[/tex]
t - 2/3 = 5/6 pls help
6th grade
Answer:
t =3/2 im in 7th ;)
please help asap!!!!
Answer:
7 units
Step-by-step explanation:
The diagram shows three squares that are joined at vertices to form a right triangle. Which statement is true?
A. The sum of the areas of Square N and Square L is equal to the area of Square K.
B. The sum of the areas of Square N and Square L is greater than the area of Square K.
C. The sum of the areas of Square N and Square K is equal to the area of Square L.
D. The sum of the areas of Square N and Square K is less than the area of Square L.
Answer:
its a the sum of the areas of Square N and Square L is equal to the area of Square K.
Step-by-step explanation:
Alphonsus went shopping for new school clothes. He bought 4 t-shirts and 3 pairs of pants. How many different outfits can Alphonsus put together with his new clothes?
Answer:
I think he can do 12 outfits.
Step-by-step explanation:
I hope this helps. Sorry if I am wrong, I am not the greatest at math.
The different outfits that Alphonsus can put together with his new clothes will be 12.
What is equation modelling? What is a mathematical equation and expression?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is that Alphonsus who went for shopping for new school clothes. He bought 4 t - shirts and 3 pairs of pants.
Assume that the different outfits that Alphonsus can put together with his new clothes be [x].
[x] = 4 x 3 = 12
[x] = 12
Therefore, the different outfits that Alphonsus can put together with his new clothes will be 12.
To solve more questions on functions, expressions and equation modelling, visit the link below -
brainly.com/question/17421223
#SPJ2
This is another 2 step. Please be sure to answer the question fully and show all of your work! I don't like reporting people.
Answer:
JR = 29∠JLM = 25°Step-by-step explanation:
Diagonals of the parallelogram bisect each other
Note. The first question is repeated as A and B
A) KR = 1/2KM
Substitute and solve for x:
x + 7 = 1/2(3x - 5)2x + 14 = 3x - 53x - 2x = 14 + 5x = 19Find JR
JR = 1/2JL JR = 1/2(4x - 10) = 2x - 5 = 2*19 - 5 = 34 - 5 = 29B)
∠LJM ≅ ∠JLK as alternate interior angles∠JKL ≅ ∠JML as opposite angles of parallelogramInterior angles of the triangle sum to 180°:
m∠JLK + m∠LJK + m∠JKL = 180°m∠JLM = m∠JLK = 180° - (56° + 27° + 72°) = 25°A man walks five miles east, and then walks five miles west. What is the total distance from his starting point?
Answer:
0 miles
Explanation:
Step 1) -----> 5 miles west
Step 2) <----- 5 miles east
So in conclusion I think that the man came back to where he started.
Compass:
N
W E
S
Answer:
15 miles.
Step-by-step explanation:
5 + 10 = 15
5 represents the fact that he walked 5 miles east, and then if he were to walk from there towards the west, that would be 10 miles because if its 5 miles from his starting point to the east, then it would be double from the east to the west so if you add 5 miles and 10 miles, you should get a total of 15 miles.
I hope this helps you :D
PLEASE HELP! 10 points
Answer:
D
Step-by-step explanation:
Make it a triangle of side lengths 5 and 5 which means that 5√2 is the answer and D is the closest
Consider the system of liner equations 2y=X+10
3y=3x+15
Yesterday 170 guests at a hotel for room service, and 255 guests did not call for room service. What percentage of the guests at the hotel call for room service?
A - 60%
B - 15%
C - 40%
D - 85%
Answer: 40%
Step-by-step explanation:
170+255=425 total guests
170/425=0.4
Christopher picks a marble at random. without putting the first marble back, he picks a second marble at random. is it independent or dependent
PLEASE HELP I’LL GIVE BRAINLIEST TO WHO EVER ANSWERS FIRST CORRECTLY
Use the rational zeros theorem to list all possible rational zeros of the following.
h(x)=-3x^4+5x^3-8x^2-3x+2
Be sure that no value in your list appears more than once.
Answer:
Step-by-step explanation:
[tex]h(x)=-3x^{4} +5x^{3}-8x^{2} -3x+2[/tex]
roots:±1, ±[tex]\frac{1}{3}[/tex], ±2, ±[tex]\frac{2}{3}[/tex]
how earth and venus the same?
Answer:
Venus is often named as Earth's twin because both worlds share a similar size, surface composition and have an atmosphere with a complex weather system. ... Both planets have almost the same size and density and Venus is only a 30% closer to the Sun than Earth.
Step-by-step explanation:
kxkcxn jxn. jxk. kx. xnx xn n nxnksj dxcnxc. x jxnn.
Figure A is dilated by a scale factor of 1 to form Figure B.
What is the length of x?
4 inches
Figure A
Figure B
2 inches
16 inches
16 inches
8 inches
Answer:
C. 8 inchesStep-by-step explanation:
Note. The original question is attached.
Solution:
Scale factor is 1/2 and the corresponding side has a length of 16 inches.
The value of x is:
x = 1/2*16 = 8 inchesCorrect option is C
I’ll give Brainliest for the answer please
Answer:
1176 squared units
Step-by-step explanation:
You need to use the formula for finding area (Length x Width) to find the surface area of each face. For example, 7 times 21 is 147, so that face by itself is 147 squared units