Answer:
(a) 31101
(b) $5.65
(c) $113.38
Step-by-step explanation:
The complete question is:
A regional automobile dealership sent out fliers to prospective customers indicating that they had already won one of three different prizes: an automobile valued at $20,000, a $125 gas card, or a $5 shopping card. To claim his or her prize, a prospective print on the back of the flier listed the probabilities of winning. The chance of winning the car was 1 out of 31,101, the chance of winning the gas card was 1 out of 31,101, and the chance of winning the shopping card was 31, 099 out of 31,101.
Solution:
The information provided is as follows:
[tex]P(\text{Car})=\frac{1}{31101}\\\\P(\text{Gas Card})=\frac{1}{31101}\\\\P(\text{Shopping Card})=\frac{31099}{31101}[/tex]
(a)
The number of fliers the automobile dealership sent out is, n = 31,101.
This is because the probability of winning any of the three prize is out of 31,101.
(b)
Compute the expected value of the prize won by a prospective customer receiving a flier as follows:
[tex]E(X)=\sum x\times P(X=x)[/tex]
[tex]=[20000\times \frac{1}{31101}]+[125\times \frac{1}{31101}]+[5\times \frac{31099}{31101}]\\\\=0.6431+0.0040+4.9997\\\\=5.6468\\\\\approx 5.65[/tex]
Thus, the expected value of the prize won by a prospective customer receiving a flier is $5.65.
(c)
Compute the standard deviation of the prize won by a prospective customer receiving a flier as follows:
[tex]SD(X)=\sqrt{V(X)}=\sqrt{E(X^{2}-(E(X))^{2}}[/tex]
[tex]=\sqrt{[(20000)^{2}\times \frac{1}{31101}+(125)^{2}\times \frac{1}{31101}+(5)^{2}\times \frac{31099}{31101}]-(5.65)^{2}}\\\\=\sqrt{12854.9011}\\\\=113.37947\\\\\approx 113.38[/tex]
Thus, the standard deviation of the prize won by a prospective customer receiving a flier is $113.38.
How to estimate the sums and differences
Lin rode her bike 2 miles in 8 mins. She rode at constant speed. Complete the table to show the time it took travel different distances at this speed
Answer:
4, 1
Step-by-step explanation:
If you take 2, 8 and make it a ratio you get 2 : 8.
Then you turn 2 : 8 into 1 : 4. That is your answer for a mile.
For the other answer, you want to divide 2 by 8.
(Hope this helps) :)
Manuel has 5/8 of a pizza to share equally with his brother. What fraction of the original pizza will each person receive?
Answer:
1¼
Step-by-step explanation:
⅝ ÷½
=⅝ײ/1
=⁵/4
=1¼
Whenever you divide two fractions you rewrite it switching the division sign for multiplication and writing the reciprocal of the second fraction.
A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
5/8 of the pizza is equally shared between two people.
The fraction of the original pizza that each person receives is 5/16 of the pizza.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
Amount of pizza = 5/8
Equally shared between two people:
= 5/8 ÷ 2
= 5/(8x2)
= 5/16
This means that the fraction of the original pizza that each person receives is 5/16 of the pizza.
Thus,
5/8 of the pizza is equally shared between two people.
The fraction of the original pizza that each person receives is 5/16 of the pizza.
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Vertex (3,2) and point(2,-3) written in vertex form
Answer:
which principle prevents a brach from abusing its power
Step-by-step explanation:
which principle prevents a brach from abusing its power
1) _______ is caused by the weight of air above an area. *
atmospheric pressure
high pressure
low pressure
2) _________ creates less pressure on the barometer *
high pressure
low pressure
3) _______ creates greater pressure on the barometer. *
high pressure
low pressure
4) Read the following statement and determine if it describes high pressure or low pressure. As air cools, it becomes more dense and sinks toward the Earth's surface spinning clockwise. *
high pressure
low pressure
Let xy=6 and x2 + y2 = 23 what is the value of (x+y)^2?
[Hint expand out (x+y)^2?]
Answer:
[tex](x + y) {}^{2} \\ = x {}^{2} + 2xy + y {}^{2} \\ = x {}^{2} + y {}^{2} + 2xy \\ = 23 + 2 \times 6 \\ = 23 + 12 \\ = 35 \\ \\ therefore \: the \: value \: \\ of \: (x + y) {}^{2} is \: 35.[/tex]
35 is the correct answer.....Hopes to get BRAINLIEST......Thank you ☺️
need help asap please help
multiple and divide signed numbers
Answer:
the answer is 9
Step-by-step explanation:
If an individual is selected at random, what is the probability that he or she has a birthday in July? Ignore leap years.
The probability is [tex]\frac{31}{365}[/tex] , If an individual is selected at random have birthday in July .
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
Probability(Event) = [tex]\frac{Favorable Outcomes}{Total Outcomes}[/tex] = [tex]\frac{x}{n}[/tex]
According to the question
Total number of days in year = 365
Total number of days in a leap year = 366
As, given Ignore leap years
So, we will take days of years as 365 .
Now,
he or she has a birthday in July
i.e ,
It can be be happen any day of July
Total days in July = 31
Now,
Probability(Event) = [tex]\frac{Favorable Outcomes}{Total Outcomes}[/tex] = [tex]\frac{x}{n}[/tex]
substituting the value
Probability(Event) = [tex]\frac{Total\\\ day\\\ in\\\ July }{Total\\\ days\\\ in\\\ year}[/tex]
Probability(Event) = [tex]\frac{31}{365}[/tex]
Hence, If an individual is selected at random the probability have birthday in July is [tex]\frac{31}{365}[/tex] .
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2. Tand Rare vertical angles. m measure of an angle that is supplementary to
Answer:
Could you please give more information? If and when you do, I'll gladly update my answer. I check my daily notifications!
Step-by-step explanation:
HELP PLZ!!! IM RUNNING OUT OF TIME!!! 100PTS!!!
What is the slope of the line passing through the two given coordinates: f(0) = 3, and f(2)=11. Round your answer to the nearest integer.
Answer:
the slope is 2/11 pls give me brainliest cause I gave you the actual answer and didnt use u for points
Can somebody pls answer these three questions pls!!!!ASAP
Answer:
1) x=1
2) x=6
3) x=3
Step-by-step explanation:
i just did them :) good luck
A Karate club consists of 35 persons holding a black belt
(highest rating), 64 persons holding a brown belt (middle
rating), and 97 persons holding a purple belt (lowest rating).
What is the probability that a randomly-selected club member
holds a brown belt or a purple belt?
A) 0.238
B) 0.762
C) 0.687
D) 0.313
Answer:
B
Step-by-step explanation:
35+64+97=196 97+64=161 161/196=B
The probability that a randomly-selected club member holds a brown belt or a purple belt is 0.821 which is nearest to 0.762.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
Total number of person = 35+64+97 = 196
P(brown belt) = 64/196
P(purple belt) = 97/196
Probability that a randomly-selected club member holds a brown belt or a purple belt:
= 64/196 + 97/196
= (64+97)/196
= 161/196 = 0.821
Thus, the probability that a randomly-selected club member holds a brown belt or a purple belt is 0.821 which is nearest to 0.762.
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What are the roots of the quadratic equation x²-81=0
Answer:
What are the roots of the quadratic equation x²-81=0
Answer:
x = ± 9
Step-by-step explanation:
Given
x² - 81 = 0 ( add 81 to both sides )
x² = 81 ( take the square root of both sides )
x = ± [tex]\sqrt{81}[/tex] = ± 9
Thus roots are x = - 9, x = 9
I need help!! Its so hard for me i tryed so many times and still no answers
7:1 2:14 3:21 4:28 5:35 6:42 7:49
Hope you do your best
What is the product of the 3rd square number and the 3rd square number
Answer:
3² x 3² = 9 x 9 = 81
Step-by-step explanation:
hope it helps you
90% off
original price!
The original price of a calculator is $40. What is the sale price?
Answer:
that answer is 4
Step-by-step explanation:
divide the percent by 40 and you get 4
Answer:
it is 4 dollars off
Step-by-step explanation:
40/10=4 and since it's 90% off, we multiply 4 x 9.
4 x 9 = 36. 40 - 36 = 4.
Create a word problem using the math sentence below. Make sure you write in complete sentences. -25 + (-35)
Step-by-step explanation:
john put 25 dollars in a jar and his wife put 35 dollars in the savings jar as well so save for there trip coming up
Answer:
Sally borrowed twenty-five dollars from Alex to buy a movie at the store. Later, she borrowed another thirty-five dollars to buy ride tickets at the state fair. How much money does she owe Alex?
Step by-step explanation:
When you have an even number of negative numbers in an equation, the answer will always be positive. When there's an odd number of negative numbers, the answer will be negative. For a problem like this, you can ignore the negative signs and focus on the numbers. 25+35 is 60, so Sally owes Alex 60 dollars.
Hope this helps!
Please help!
Let triangle ABC be an isosceles triangle where angle ABC is congruent to angle BCA. Prove that the sides (AB and AC) opposite the congruent base angles of a triangle are congruent.
I constructed line AD as a perpendicular bisector of line BC. Angles BDA and CDA are both 90 degrees because of the construction of a perpendicular bisector. Angles BDA and CDA are congruent because of the transitive property of equality. Line BD is also equal to CD according to the definition of a perpendicular bisector. Triangles ABD and ACD are congruent by the angle side angle postulate. Since the parts of the congruent triangles are congruent, lines AB and AC are congruent.
The sides AB and AC opposite the congruent base angles of a triangle are congruent.
What is an isosceles triangle?An isosceles triangle is a triangle with (at least) two equal sides. A polygon that consists of two equal sides, two equal angles, three edges, three vertices and the sum of internal angles of a triangle equal to 180°.
For the given situation,
Triangle ABC be an isosceles triangle.
∠ABC ≅ ∠BCA.
The diagram below shows an isosceles triangle ABC with AD is the perpendicular bisector of BC.
The perpendicular bisector AD divides the line BC as BD and DC.
Then, BD = DC.
We get triangles ΔADB and ΔADC,
AD = AD [∵ common side]
⇒ [tex]\angle ADB = \angle ADC=90[/tex]
Thus by ASA theorem,
The two triangles ΔADB and ΔADC are similar.
Then by CPCT theorem,
Side AB ≅ AC.
Therefore the sides AB and AC opposite the congruent base angles of a triangle are congruent.
Hence we can conclude that the sides AB and AC opposite the congruent base angles of a triangle are congruent.
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I really need help with this ?
Answer:
j
Step-by-step explanation:
A florist has 80 flowers. She ties 3 flowers together in each bunch. If she makes as many bunches of 3 flowers as possible, how many flowers are left over?
Steven earns extra money babysitting. He charges $25.00 for 4 hours and $43.75 for 7 hours.
Enter an equation to represent the relationship. Let x represent the number of hours Steven babysits and y represent the amount he charges.
Answer:
An easy way to solve this problem is divide $25.00 by 3 or $43.75 by 7. This number represents the amount of money he makes for 1 hour. So with that in mind, the correct equation is:
$8.33 = y
Hope this helped :)!
what is as big as an elephant but does not weigh as much as an elephant ill give a brainiest to the first correct answer
an elephant's shadow??
Consider the following figure where l1 and l2 are parallel and cut by transversals g1
and g2.
Part A: Determine the values of M, N, V and R.
Answer:
m: 88
n: 112
v: 88
r: 112
Step-by-step explanation:
The standard deviation from the National Health and Nutrition Survey is 1.29 hours. What is the variance (rounded to the hundredth place) ?
Answer:
variance = 1.66 hours
Step-by-step explanation:
It is given that,
The standard deviation from the National Health and Nutrition Survey is 1.29 hours.
We need to find the variance. We know that the relationship between the variance and the standard deviation is given by :
[tex]\text{Variance }=\text{standard deviation}^2\\\\\text{Putting all the values, we get :}\\\\\text{Variance }=(1.29)^2\\\\\text{Variance }=1.664\ \text{hours}[/tex]
or
Variance = 1.66
So, the variance is 1.66 hours.
HELP !!!
Find the equation of a line parallel to -3x - 5y = 4 that contains the point (4,3). Write the equation in slope-intercept
form
9514 1404 393
Answer:
y = -3/5x +27/5
Step-by-step explanation:
Since we want a parallel line, we can use the same x- and y-coefficients to find the new constant in the given form:
-3(4) -5(3) = -12 -15 = -27
In the given form, the equation of the desired line is ...
-3x -5y = -27
Solving for y, we have ...
-5y = 3x -27
y = -3/5x +27/5
4 divied by 217 long divisions
Answer:
Step-by-step explanation:
Answer: 0.018 or not simplified: 0.01843317972
0. 0 1 8
2 1 7 4. 0 0 0
− 0
4 0
− 0
4 0 0
− 2 1 7
1 8 3 0
− 1 7 3 6
9 4
Solve the equation. If necessary, enter your answer as an reduced improper fraction.
h +9 = 16
Answer:
7
Step-by-step explanation:
It's seven because If you take 9 you just have to find the number that adds up to sixteen so in that case 6+9=16
A gas company uses formula c=26+0.05 t worI out the charge t a customer each month
Answer:
more info please!!!
Step-by-step explanation:
what is the mean (average) of 2,4,5,6,8
Answer:
5
Step-by-step explanation:
In order to figure out average, we need to add up all the numbers. So adding 2, 4, 5, 6, and 8 gives us 25. We now divide that total by the total number of terms we used to reach 25. So since we had 5 numbers, we divide 25 by 5 to get an average of 5.
Answer:
5.
Step-by-step explanation:
To find mean. you just add all the numbers up and divide by the number of numbers (5).
2+4+5+6+8=25
25/5=5