A pizza shop sells three sizes of pizza, and they track how often each size gets ordered along with how much they profit from each size. Let X represent the shop's profit on a randomly selected pizza. Here's the probability distribution of X along with summary statistics:
Small Medium Large
X = profit ($) 4 8 12
P(X) 0.18 0.50 0.32
Mean: μX = $8.56
Standard deviation: σx =$2.77
The company is going to run a promotion where customers get $2 off any size pizza. Assume that the promotion will not change the probability that corresponds to each size. Let Y represent their profit on a randomly selected pizza with this promotion. What are the mean and standard deviation of Y?
Answer:
The mean and standard deviation of Y is $6.56 and $2.77 respectively.
Step-by-step explanation:
Consider the provided information.
Let Y represent their profit on a randomly selected pizza with this promotion.
The company is going to run a promotion where customers get $2 off any size pizza.
Therefore, [tex]Y=\text{Profit}-\$2[/tex]
[tex]Y=X-\$2[/tex]
So the mean will be reduced by 2.
[tex]\mu_Y=\mu_X-\$2[/tex]
[tex]\mu_Y =\$ 8.56 - \$2[/tex]
[tex]\mu_Y =\$6.56[/tex]
If we add or subtract any constant number from a given distribution, then the mean is changed by the same number(i.e constant number) but the standard deviation will remain the same.
Therefore [tex]\sigma_Y=\sigma_X=2.77[/tex]
Hence, the mean and standard deviation of Y is $6.56 and $2.77 respectively.
The function t relates the age of a plant fossil in years to the percentage c of carbon remaining in the fossil relative to when it was alive.
t(c)=-3970.9(ln c)
Use function t to complete the statements.
A fossil with 47% of its carbon remaining is approximately how old
1. 2998
2 11,910
3 7550
A fossil that is 7000 years old will have approximately
1. .2%
2. 57%
3 17%
Of its carbon remaining.
Answer: For plato family
A fossil with 47% of its carbon remaining is approximately how old
2998
A fossil that is 7000 years old will have approximately
17%
Step-by-step explanation:
What is the equation of the line in slope-intercept form?
O Y=2x-8
O y = 2x+8
O y=8x-2
O y = 8x+2
Step-by-step explanation:
since b = 8, it has to be
y = 2x + 8
that was the whole point of the exercise, as the general slope-intercept form is
y = mx + b
you determined m = 2 and b = 8, so there is your answer. I am not sure where your problem was, as you solved the actual important part yourself.
The temperature was -12 degrees
Celsius and rose to 2 degrees Celsius.
What was the change in temperature?
Hurry
Answer:
+14 degrees Celsius
Step-by-step explanation:
you have to find the difference from -12 to 2 degree Celsius
HELP! Whoever gets it right gets brainliest!!
Multiplying StartFraction 3 Over StartRoot 17 EndRoot minus StartRoot 2 EndRoot EndFraction by which fraction will produce an equivalent fraction with a rational denominator?
Answer:
(√17 + √2)/(√17 + √2)Step-by-step explanation:
You need to determine the conjugate of the denominator.
√17 - √2 has conjugate of √17 + √2, when multiplied the product is going to be a rational number:
(√17 - √2)/(√17 + √2) = 17 - 2 = 15Therefore correct choice is B or second from the top:
(√17 + √2)/(√17 + √2)Answer:
B
Step-by-step explanation:
Because trust is a good thing in this world
who wants some pfpssssssssssssssssssssss
Answer:
what is that
Step-by-step explanation:
Answer:
I already have cool ones thx to u but brainlist plssssssssssssssssssssssssssss
Step-by-step explanation:
20. When subtracting u- v, I must rewrite the pair as
a. ut -V
b. -U + V
C. u + v
d. It doesn't matter; I will get the same vector
Answer:
d
Step-by-step explanation:
you just get the same anwser
The artist realizes she has 49 ounces left . How many ounces of blue does she need to add
2 ounces of blue paint to every 7 ounces of yellow
Answer:
hwope this helps ＼(=^‥^)/’`
Step-by-step explanation:
what is (-6,-2)×1/2 ?
Answer:
the answer is (-4 )
Four co-workers contributed $2.58, $10.20, $19.89, and $12.89 respectively to purchase a retirement gift for their boss. What is the maximum amount they can spend on a gift?
Answer:
the answer is $45.56!
Step-by-step explanation:
you just have to add all of there amounts to find how much money they have
The scale on a map shows that 10 kilometers is represented by 4 centimeters. Which proportion can be used to find the actual distance, x, represented by 20 centimeters on the map? StartFraction 10 over 4 EndFraction = StartFraction x over 20 EndFraction StartFraction 10 over 4 EndFraction = StartFraction 20 over x EndFraction StartFraction 10 over 20 EndFraction = StartFraction 4 over x EndFraction StartFraction 10 over 20 EndFraction = StartFraction x over 4 EndFraction
HELP PLSS QUICK ILL GIVE BRAINLIST
Answer:
the guy above me is correct
Step-by-step explanation:
15 points!! Please help
Answer:
3 feet
Step-by-step explanation:
Answer:
3 feet
Step-by-step explanation:
A dilation is changing the size of a figure. A factor of 2.5 would mean to multiply it by 2.5.
1.2 x 2.5 is 3
3 ft is the answer
Simplify-2(4x-6)+3(8x+2)
Answer:
-8x +12 + 24x +6 = 0
16x + 18 =0
16x = -18
x = - 18/16 = - 1.125
What is the slope of the line i need help asap
Answer:
Step-by-step explanation:
is C -1/2
y=mx+b
2y=6-x
y=-x/2 +3
m=-1/2
Mille is obsessed with her new book she started. She read 185 pages in 2 days. If she keeps up this pace, about how many pages will she have read after 5 days?
HELP ILL MARK AS BRAINLIEST!
Answer:
There is one solution (4,0)
Step-by-step explanation:
First, we will try to solve this system of equations.
I will rearrange 2x-5y=8 to isolate -5y.
The new equation would be 5y=2x-8.
Now we will add
2x -8 = 5y
with
-2x+8=5y
We get 0 = 10y
Divide by 10 and we get y = 0.
Now that we know the value of y, lets solve for x.
2x-8=5(0)
2x-8=0
Add 8
2x=8
Divide by 2 to isolate x
x = 4.
x=4 and y=0
The solution is (4, 0)
PLEASE HELP!! WILL GIVE 200 POINTS PLUS BRAINLY!!!
Question2. Eric is observing the velocity of a runner at different times. After one hour, the velocity of the runner is 5 km/h. After three hours, the velocity of the runner is 3 km/h.
Part A: Write an equation in two variables in the standard form that can be used to describe the velocity of the runner at different times. Show your work and define the variables used. (5 points)
Part B: How can you graph the equations obtained in Part A for the first 5 hours? (5 points)
Question 3. The graph shows the functions f(x), p(x), and g(x):
Graph of function g of x is y is equal to 2 multiplied by 0.85 to the power of x. The straight line f of x joins ordered pairs minus 7, 3 and minus 3, minus 2 and is extended on both sides. The straight line p of x joins the ordered pairs 4, 1 and minus 3, minus 2 and is extended on both sides.
Part A: What is the solution to the pair of equations represented by p(x) and f(x)? (3 points)
Part B: Write any two solutions for f(x). (3 points)
Part C: What is the solution to the equation p(x) = g(x)? Justify your answer. (4 points)
Question 4. The coordinate plane below represents a town. Points A through F are farms in the town.
graph of coordinate plane. Point A is at negative 3, negative 4. Point B is at negative 4, 3. Point C is at 2, 2. Point D is at 1, negative 2. Point E is at 5, negative 4. Point F is at 3, 4.
Part A: Using the graph above, create a system of inequalities that only contains points A and E in the overlapping shaded regions. Explain how the lines will be graphed and shaded on the coordinate grid above. (5 points)
Part B: Explain how to verify that the points A and E are solutions to the system of inequalities created in Part A. (3 points)
Part C: Chickens can only be raised in the area defined by y < −2x + 4. Explain how you can identify farms in which chickens can be raised. (2 points)
Question 5. Tom has taken out a loan for college. He started paying off the loan with a first payment of $200. Each month he pays, he wants to pay back 1.2 times the amount he paid the month before, Explain to Tom how to represent his first 30 payments in sequence notation, Then explain how to find the sum of his first 30 payments, using complete sentences,
https://brainly.com/question/11874728 here is the answer! pls give brainliest
Answer:
Slope intercept form: The straight line equation is given by:
, .....[1] where m is the slope of the line.
(A)
Let x represents the number of hours and y represents the velocity of the runner.
As per the statement: After one hour, the velocity of the runner is 5 km/h. After three hours, the velocity of the runner is 3 km/h.
we have two points as (1, 5) and (3, 3)
Calculate first slope.
Formula for slope(m) is given by;
Then substitute the given values we get;
Now, substitute the value of m = -1 and (1, 5) in equation [1] we have;
Using distributive property:
Add both sides by 5 we get;
or
Therefore, an equation in two variables in the standard form that can be used to describe the velocity of the cyclist at different times is,
(B)
x y = 6 -x
1 5
2 4
3 3
4 2
5 1
Now, plot these points on the graph for the first 5 hours as shown below in the attachment.
Slope intercept form: The straight line equation is given by:
, .....[1] where m is the slope of the line.
(A)
Let x represents the number of hours and y represents the velocity of the runner.
As per the statement: After one hour, the velocity of the runner is 5 km/h. After three hours, the velocity of the runner is 3 km/h.
we have two points as (1, 5) and (3, 3)
Calculate first slope.
Formula for slope(m) is given by;
Then substitute the given values we get;
Now, substitute the value of m = -1 and (1, 5) in equation [1] we have;
Using distributive property:
Add both sides by 5 we get;
or
Therefore, an equation in two variables in the standard form that can be used to describe the velocity of the cyclist at different times is,
(B)
x y = 6 -x
1 5
2 4
3 3
4 2
5 1
Now, plot these points on the graph for the first 5 hours as shown below in the attachment.
Step-by-step explanation:
Determine whether the relation is a function. Explain. {(2,5),(4,−2),(3,3),(5,4),(−2,5)} *
No; the elements –2, 3, 4, and 5 are in both the domain and the range.
Yes; for each element of the range, there is only one element of the domain.
No; the element 5 occurs twice in the range.
Yes; for each element of the domain, there is only one element of the range.
Answer:
Yes; for each element of the domain, there is only one element of the range.
Step-by-step explanation:
A set (x,y) represents a function if for each value of x(domain), there is only one respective value of y(range).
In this question, yes, for each value of x(2,4,3,5,-2), there is only one respective value of y, so it represents a function.
The correct answer is given by:
Yes; for each element of the domain, there is only one element of the range.
20 points Find the value of x in the figure
Answer:
x=100
Step-by-step explanation:
180 degrees on a straight line.
180-57= 123
123-23=100
x=100
Hope this helps
Answer:
I broke it down for you
Find the measure of each angle in the problem: complementary angles with measures 4x and 5x-18 degrees
Answer:
42 degrees and 48 degrees
Step-by-step explanation:
If they are complementary, that means they add up to 90 degrees, so
4x + 5x - 18 = 90,
Solving,
9x - 18 = 90
add 18 to both sides
9x = 108
divide both sides by 9
x = 12
Now, to find the angle measures of each you have to substitute x = 12 into both angles.
4x --> 4 * 12 = 48 degrees
5x - 18 --> 5 * 12 - 18 --> 60 - 18 --> 42 degrees
A dolphin travels through the water at a speed of 25 kilometers per hour. Which representation shows the distance a dolphin can travel at this rate
Answer:
B
Step-by-step explanation:
There are 2 glasses of orange juice , glass a has squash mixed together with water in the ratio 1:3 and glass b had squash mixed together in the ratio of 1:5 I mix together an equal amount of juice from glass a and b . What will be the new ratio of squash to water
Answer:
2:6
Step-by-step explanation:
there are 2 glasses of orange juice
glass a has a ratio of 1:3
glass b has a ratio of 1:5
mix the same amount from glass a and b
and you should get the ration 2:6
If the rate of inflation is 3.4% per year, the future price pt (in dollars) of a certain item can be modeled by the following exponential function, where t is the number of years from today.
pt = 2500(1.022t)
Find the current price of the item and the price 10 years from today.
Answer:
The answer is "3107.75".
Step-by-step explanation:
[tex]\text{Rate of inflation} = \frac{3.4 \%}{year}[/tex]
[tex]\to p(t)= 2500 (1.022)^t[/tex]
when t= 0
[tex]\to p(0) = 2500(1.022)^0[/tex]
[tex]= 2500 \times 1\\\\= \$ 2500[/tex]
When t=10
[tex]\to p(10)=2500(1.022)^{10}[/tex]
[tex]= 2500 \times 1.2431\\\\= 3107.75[/tex]
help me pls pls pls pls
Answer:
-4.2
Step-by-step explanation:
subtract
What percent of 140 is equal to 7% of 500
Answer:
49%
Step-by-step explanation:
7 percent of 500=35%
if the temperature rises to 80 degrees, witch number would display best
-80 -180 80 180
Answer:
The answer is 80 :)
Step-by-step explanation:
You weigh a gallon of liquid in science class and learn that it is approximately 7.7 pounds. You pass the liquid to the next group, and then realize that your teacher wanted an answer in kilograms, not pounds. Complete the explanation of how you can adjust your answer without weighing the liquid again. Then give the weight in kilograms. If necessary, round your answer to the nearest tenth.
only right anwres
Answer:
7.7 pounds = 3.5 kilograms
Step-by-step explanation:
Given that,
Weight of a gallon of liquid = 7.7 pounds
We need to find weight in kilograms.
We must know the relation between pounds and kilograms and it is as follows :
1 kilogram = 2.20 pounds
or
1 pounds = (1/2.2) kilograms
7.7 pounds = (7.7/2.2) kilograms
= 3.5 kilograms
Hence, 7.7 pounds is equal to 3.5 kilograms.
I NEED HELP!! But it's not an emergency. 50 Points!!
Answer:
D. x = 7 and m∠LMN = 120°Step-by-step explanation:
Since MO bisect angle LMN, the angles formed are congruent:
∠LMO≅∠NMOSubstitute values and solve for x:
13x - 31 = x + 5313x - x = 53 + 3112x = 84x = 7Find the value of ∠LMN:
m∠LMN = 2*m∠LMOm∠LMN = 2(13*7 - 31) = 120°Correct option is D
Here,
MO is bisect of the [tex]\angle{LMN}[/tex],
SO,
[tex]\angle{LMO}[/tex]=~[tex]\angle{NMO}[/tex]
According to the question,
[tex]\bold{ 13x-31=x+53 }[/tex]
[tex]\bold{ 13x-x=53+31 }[/tex]
[tex]\bold{12x=84 }[/tex]
[tex]\bold{x=\dfrac{84}{12} }[/tex]
[tex]\bold{x=7 }[/tex]
Now we find the value of [tex]\angle{LMN }[/tex]
so,
[tex]\angle{LMO}=2×\angle{NMO }[/tex]
[tex]\bold{ 2×(13×7-37) }[/tex]
[tex]\bold{2×(91-31) }[/tex]
[tex]\bold{2×60 }[/tex]
[tex]\bold{120° }[/tex]
a) In the first event, the eighth graders are running a baton relay race with three other classmates. The team’s top speed for each leg is 56.81 seconds, 59.22 seconds, 57.39 seconds, and 60.11 seconds. Use the information to predict the team’s best time for the race
Answer:
58.4 seconds
Step-by-step explanation:
Find the average of all the seconds by dividing the sum of the seconds by 4
Answer:
233.53 s
The sum of best times for the legs is ...
56.81 +59.22 +57.39 +60.11 = 233.53 . . . seconds
Without additional information about the effects of training or the normal variation in times, this is the best prediction we can make.