Answer:
29.1666667% Increase
Step-by-step explanation:
First, you subtract the orginal number from the new number. Which means, 15.5 - 12, which is equal to 3.5. Then you take 3.5 and then divide it by 12. Then, multipe it by 100.
An individual who has automobile insurance from a certain company is randomly selected. Let Y be the number of moving violations for which the individual was cited during the past 3 years. The pmf of Y is:
y 0 1 2 3
P(y) 0.50 0.25 0.20 0.05
Required:
a. Compute E(Y) and V(3Y−10)
b. Suppose an individual with Y violations incurs a surcharge of $(95Y2−25). Calculate the expected amount of the surcharge.
c. What is the standard deviation of surcharges?
Answer:
a.
E(y)=0.8
V(3y-10)=7.74
b.
The expected amount of surcharge is 117.5.
c.
The standard deviation of surcharges is 217.6723.
Step-by-step explanation:
a.
y 0 1 2 3
p(y) 0.5 0.25 0.2 0.05
y*p(y) 0 0.25 0.4 0.15
E(y)=sum(y*p(y))=0+0.25+0.4+0.15
E(y)=0.8.
y² 0 1 4 9
y²p(y) 0 0.25 0.8 0.45
V(y)=E(y²)-[E(y)]²
E(y²)=sum(y²*p(y))=0+0.25+0.8+0.45=1.5
V(y)=E(y²)-[E(y)]²
V(y)=1.5-[0.8]²
V(y)=1.5-0.64
V(y)=0.86
V(3y-10)=9V(y)=9*0.86=7.74
V(3y-10)=7.74
b.
E(95Y²-25)=95E(Y²)-25=95*1.5-25=142.5-25=117.5
E(95Y²-25)=117.5
The expected amount of surcharge is 117.5.
c.
SD(95Y²-25)=?
SD(95Y²-25)=√V(95Y²-25)
V(95Y²-25)=95²*V(Y²)
V(95Y²-25)=9025*V(Y²)
V(Y²)=E[(Y²)²]-[E(Y²)]²
y^4 0 1 16 81
y^4*p(y) 0 0.25 3.2 4.05
E[(Y²)²]=sum(y^4*p(y))=7.5
V(Y²)=E[(Y²)²]-[E(Y²)]²
V(Y²)=7.5-[1.5]²
V(Y²)=7.5-2.25
V(Y²)=5.25
V(95Y²-25)=9025*V(Y²)
V(95Y²-25)=9025*5.25
V(95Y²-25)=47381.25
SD(95Y²-25)=√47381.25
SD(95Y²-25)=217.6723
The standard deviation of surcharges is 217.6723.
PLEASE ANSWER THIS
ASAP!
Answer:
30 and 6
Step-by-step explanation:
For Mother's Day the Flower Shoppe ordered 390 white roses, 1,100 red roses, 500 yellow carnations, and 560 pink roses. How many roses were ordered in all?
4. Find the slope and y-intercept.
y= 1/5 x + 4
Answer:
The slope is [tex]\bold{\frac{1}{5}}[/tex] and the y-intercept is [tex]\bold{4}[/tex].
Step-by-step explanation:
We are given an equation in slope-intercept form (y = mx + b).
In this equation, we can define the following variables:
m = slopeb = y-interceptThe slope in an equation and of a line is the rise over run of a line. The numerator of the fraction will be how many y-coordinates the line will ascend or descend (depending on the sign). The denominator will signify how many x-coordinates the line will move to the left or the right.
The y-intercept is the coordinate at which the line crosses the y-axis. The value of x is 0 and the coordinate can be positive or negative.
Therefore, by looking at our equation, we can see that [tex]\frac{1}{5}[/tex] is the slope, and 4 is the y-intercept.
Solve each equation. Check your solution.
3x 32 = 7x + 28
Answer:
x= 28 /89
Step-by-step explanation:
3x(32)=7x+28
Step 1: Simplify both sides of the equation.
96x=7x+28
Step 2: Subtract 7 from both sides.
96x 7x+28
−7 −7
89x=28
Step 3: Divide both sides by 89.
89x /89 = 28 /89
A fox can run at a speed of 42 miles per hour. How many feet per hour is this per hour is this? (There are 5,280)
Answer:
22/175
Step-by-step explanation:
42 = 1
5,280 = ???
5,280 x 1 : 42= 22/175
Find the domain and range of the exponential function h(x) = –343x.
Explain your findings.
As x decreases, does h increase or decrease? Explain.
As x increases, does h increase or decrease? Explain.
The function is supposed to be;
h(x) = -343^(x)
Answer:
The domain will be a set of real numbers while the range will be y ≤ 0 and on the interval (-∞, 1)
As x is increasing, h is decreasing and as x is decreasing, h is increasing
Step-by-step explanation:
We are given the function as;
h(x) = -343^(x)
The formula is;
y = a^(x) since it's symmetrical to the x-axis
However in this case;
y = -a^(x)
Now, the domain is y and the range is a set of values of x.
I've attached a graph of this function drawn on desmos.
From the graph we can see that The domain will be a set of real numbers while the range will be on the interval (-∞, 1)
For a value of x = 0,we have;
h(0) = -343^(0)
h(0) = -343
When we increase the value of x to 3,we have;
h(3) = -343^(3)
h(3) = -40353607
When we decrease the value of x to -3, we have;
h(-3) = -343^(-3)
h(-3) = 0.00000002478
Thus, we can conclude that;
As x is increasing, h is decreasing and as x is decreasing, h is increasing
Clancy has 423 cups of yogurt to share with his friends at a party. Each guest will receive 1 serving of yogurt which is 34 of a cup.
Write a multiplication equation to determine the number of people, p, who can be invited to the party. How many people can Clancy invite to his party if he needs a serving of yogurt as well?
Answer:
564 people can be invited to the party
Info-
Total number of cups of yogurt is 423 cups
1 serving = 3/4 pf a cup
Each guest gets 3/4 of a cup or 1 serving
We need to find out how many guests can be invited to the party
Cups : People
3/4 : 1
423 : p
CROSS MULTIPLY
3/4p = 423 times 1
3p = 423 times 4
p= 1,692/3
P would = 564
NUMERATOR
DENOMINATOR
4/40
Answer:
4 = numerator
40 = denominator
Answer:
Step-by-step explanation:
here,
the numerator is 4 ( numerator is the no. on the top )
the denominator is 40 ( the denominator is the no. on the bottom )
Hope this helps
plz mark as brainliest!!!!!
Help! (There should be a photo)
Explore transformations of the basic exponential function y = 2 Superscript x, shown right. First, change the slider for h to positive values such as 1, 2, or 3. The curve shifts h units
Answer:
right
left
up
down
Step-by-step explanation:
Answer:
right
left
up
down
Step-by-step explanation:
Please help asap I attached the question!!!!
Help it’s past due, sorry for the bad quality
Answer: The answer is B.
Step-by-step explanation:
What is the x-intercept of the function that fits the values in the table below?
Answer:
can you pls post the table
What is the equation of this graphed line?
A graph with a line running through coordinates (0, 7) and coordinates (8, -2)
Enter your answer in slope-intercept form in the box
Answer:
y = x2 - x1 / y2 - y1 so this is y = 8/-9x + the y intercept which is the line where it crosses the y line
Step-by-step explanation:
There are 24 cookies for the price of 3.50 what is the price of one cookie
Answer:
Tu divises 3.50$ par 24 cookies donc environ 14 centimes
Question 16 (5 points)
Solve |2x - 3|= 4x
A x= 1/2
B) x = -3/2 or x = 1/2
C) No solutions
D) x= -3/2
Answer:
D. x=-3/2.
Step-by-step explanation:
4x÷2x=-3
2x=-3
x=-3/2
Please help it’s due in 30 mins and I still have a lot more questions :(
Answer:
A
Step-by-step explanation:
(X,Y) It's the point where the lines intersect
Can someone plzz help me with these two answers?
In a taste test, each sample serving of a new drink is about 50 milliliters The drink comes in a 1 liter
bottle About how many sample servings are in a bottle?
Answer:
Step-by-step explanation:
it is 25 [tex]25+125=50[/tex]
Answer:
20
Step-by-step explanation:
i had same test and got it wrong
An experiment involves studying the composition of genders of a set of triplets. What is the \nprobability that there are 2 boys and a girl in the set?
Answer:
37.5%
Step-by-step explanation:
The computation is shown below:
Here we assume that the 1st, 2nd and 3rd child be the triplet and it could be either a girl or boy
Now
B = Boy
G = Girl
The possible triplets are
(BBB) (BBG) (BGB) (BGG) (GBB) (GBG) (GGB) (GGG)
These are 8 triplets
Now find the sets that involves 2 boys and a girl
(BBG) (BGB) (GBB)
Now the probability is
P = 3 ÷ 8
= 37.5%
10,160,555 round off to the nearest hundred thousand
Answer:
10,200,000
hope it helpd
PLEASE HELP I WILL GIVE BRAINLIST PLEASEEEEEEE!!!!!!
-3.2 x -5.6 x 4? PLEAEE HURRY!!!
Answer:
= −5.6^4 − 3.2x
Step-by-step explanation:
Answer: 71.68
Step-by-step explanation:
If you multiply the 2 negative numbers it will be 17.92 because the two negatives cross each other out. Multiply 17.92 and 4 it will be 71.68. Hope that helps!
Determine whether the following statement is true or false. 11 – 7 ≠ 4 and 2 – 0 > 0
Answer:
12
Step-by-step explanation:
The price of a set of headphones is $79.00 plus 8% sales tax. What is the sales tax on this set of headphones in dollars and cents?
Answer: $6.32
Step-by-step explanation:
$79.00 x .08 = $6.32 sales tax
solve: -5/9 - 2/9
please I really need this answer quickly
Answer:
The answer is last option
Step-by-step explanation:
[tex] - \frac{5}{9} - \frac{2}{9} = - \frac{(5 + 2)}{9} = - \frac{7}{9} [/tex]
Answer:
3. -7/9
Step-by-step explanation:
A quiz had 20 questions. Andre scored 16 of them correctly. What was
Andre's percent score? *
Answer:
He got an 80 percent.
Step-by-step explanation:
This table shows the input and output values for a linear function f(x).
What is the difference of outputs for any two inputs that are one value apart?
−30
−25
1
20
Answer: two of them are positive and negative
Step-by-step explanation: because there is -30 and -25 that is negative and 1 and 20 that are positive
The Cheer Team is cooking for a breakfast fundraiser. They know that 22 pancakes can feed 8 people. They are wondering how many people they can serve with 220 pancakes (assuming everyone gets the same number of pancakes
Answer:
220 pancakes could feed 80 people.
Step-by-step explanation:
Since the Cheer Team is cooking for a fundraiser breakfast, and they know that 22 pancakes can feed 8 people, to determine the number of people that can be fed 220 pancakes it is necessary to perform the following calculation:
22 = 8
220 = X
(220 x 8) / 22 = X
1760/22 = X
80 = X
Therefore, 220 pancakes could feed 80 people.