This question is incomplete, the complete question is;
On the occasion of its 10-year anniversary, AJ Inc. sells lucky draw tickets. If the customers are interested in the lucky draw contest, then they have to purchase a ticket for $15. The gift could be worth $115, $215, $315, or nothing. The probability of each event is given below. What is the value of the standard deviation
Probability 0.35 0.26 0.21 0.18
Amount gained $100 $200 $300 -$15
Option;
a) $11,143
b) $106
c) $10,200
d) $147
Answer:
the standard deviation is 106
Option b) $106 is the correct Answer
Step-by-step explanation:
Given the data in the question;
let the random variable be x
x = amount gained by customers in a lucky draw contest
so
Variance (x) = [∑(x² × P(x))] - [(∑(x × P(x))²]
so
x x² p(x) x.p(x) x².p(x)
$100 10,000 0.35 35 3,500
$200 40,000 0.26 52 10,400
$300 90,000 0.21 63 18,900
-$15 225 0.18 -2.7 40.5
TOTAL 147.3 32,840.5
Variance (x) = [∑(x² × P(x))] - [(∑(x × P(x))²]
we substitute;
Variance (x) = 32,840.5 - (147.3)²
Variance (x) = 32,840.5 - 21,697.29
Variance (x) = 11,143.21
Now Standard Deviation = √variance
so, S.D = √11,143.21
S.D = 105.56 ≈ 106
Therefore, the standard deviation is 106
Option b) $106 is the correct Answer
What is the exact circumference of a circle with a radius of 15 cm?
O 10 cm
O 15 cm
O 30 cm
O 60 cm
Answer:
Step-by-step explanation:
None of the choices is correct.
Circumference= 2πr = 30π cm
Answer what you can. You don’t have to show your work but please do.
Answer:
I'll help with the first 2
( 12/4x7-18=
12/4=3
3x4=12
12-18= -6 )
( 8[tex]{2}[/tex] - 22/2x7=
8x2=16
22/2=11
11x7=77
16-77= -61 )
Step-by-step explanation:
PEMDAS
P-( ) Parenthesis
E- Ex[tex]x^{2}[/tex] (Exsample-2[tex]{2}[/tex] = 2x2=4 )
M=Multiplication X
D-Division
A-Add +
S-Subtraction
43 POINTS IF U DO THIS! + ILL MARK BRAINLIEST!
Answer:
The second one
210 lbs
Step-by-step explanation:
The difference between 7 and 4 is 3
90/3 = 30
30 times 7 = 210
Answer:
Second Diagram
Step-by-step explanation:
Lin lines the bottom of her first pan with aluminum foil. The area of the rectangular piece of foil is 11 1/4 square inches. Its length is 4 1/2 inches. What is the width of the foil?
Answer: the answer is 2.5
Step-by-step explanation:
Answer:
w= 5/2 inches or 2 1/2 inches
Step-by-step explanation:
area = length × width (w)
45/4 = 9/2 × w
45/4 =9w/2
45×2 = 9w×4
90 = 9w×4
9w= 90/4= 45/2
w= 45/2 × 1/9
w= 5/2 inches or 2 1/2 inches
97.28 ÷ 19
PLEASE HELP PLEASE PLEASE HURRY HELP ME PLEASE
Answer:
5.12
Step-by-step explanation:
I'm learning how to write equations of lines and I'm not sure how to answer this problem. can someone please help me?
Answer:
sorry... i think i have never seen a problem like this..3
Answer:
y = -½x - 8
Step-by-step explanation:
You can see that (0,-8) and (2,-9) are points on the line. Use their coordinates to find the slope of the line.
Then use the slope and one of the points to write an equation in point-slope form.
Five times a number decreased by 8 is less than 37. Write an algebraic inequality to represent this situation. Then solve algebraically & graph.
Answer:
5x - 8 < 37 and x < 9
Step-by-step explanation:
again, sorry if it's wrong.
5x - 8 < 37
+8 +8
5x < 45
---- -----
5 5
x < 9
3. Five more than a number is below 17. Use n
for the number.
Answer:
n + 5 = below 17
Step-by-step explanation:
Answer:
n+5<7
Step-by-step explanation:
n+5<7
This is just what I think the problem is asking. Since it asks for 5 more than a number(it doesn't specify what number), then it doesn't matter what number it is. It didn't say that the number is 17, which means that the equation is probably an unequality sentence.
1. Circle the figure you would use to make the Escher‐like tessellation given.
Answer:
b ? i have never seen anything like this though so please dont take my word
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
A consumer organization inspecting new cars found that many had appearance defects (dents, scratches, paint chips etc.). No car had more than three defects. Here is the probability distribution for the number of appearance defects in a new car. X: number of defects 0 1 2 3 P(x) 0.61 0.21 0.11 0.07 Find the expected number of appearance defects in a new car. Do not round.
Answer:
The expected number of appearance defects in a new car is 0.64.
Step-by-step explanation:
To find the expected number of appearance defects in a new car, we multiply each outcome by its probability.
We have that:
0.61 probability of 0 defects
0.21 probability of 1 defect
0.11 probability of 2 defects
0.07 probability of 3 defects
0.61*0 + 0.21*1 + 0.11*2 + 0.07*3 = 0.64
The expected number of appearance defects in a new car is 0.64.
Bryan bought a DVD player that was marked down from $225 to $117. What is the percent decrease?
ANSWER:
56%
EXPLANATION:
well if you use a proportion it all should solve it self you feel me... Anyways hoped this helped
MATH SEND HELP THANKS BAES
What is the y-intercept of the linear function?
y=5/2x-4
In 2017 the SAT had a mean score of 1060 with standard deviation of 195 (max score of 1600) while the ACT had a mean of 20.9 with standard deviation of 5.6 (max composite score of 36). Reed and Maria apply to the same college. Maria took the SAT and received a score of 1270 while Reed took the ACT and received a score of 27. Which student performed better in relationship to their peers
Answer:
Due to the higher z-score, Reed performed better in relationship to their peers
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:
Whoever had the higher z-score performed better in relation to their peers.
Maria:
Took the SAT, grade 1270, so [tex]X = 1270[/tex]
Mean score of 1060 with standard deviation of 195 (max score of 1600). This means that [tex]\mu = 1060, \sigma = 295[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1270 - 1060}{295}[/tex]
[tex]Z = 0.71[/tex]
Reed:
Took the ACT, score of 27, so [tex]X = 27[/tex]
Mean of 20.9 with standard deviation of 5.6, which means that [tex]\mu = 20.9, \sigma = 5.6[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{27 - 20.9}{5.6}[/tex]
[tex]Z = 1.09[/tex]
Due to the higher z-score, Reed performed better in relationship to their peers
What is the value of x? (5 points)
A right angle is shown divided into two parts. The measure of one part of the right angle is 10 degrees. The measure of the other part is 2x
Please see image below. What is the value of X in the figure to the right? What is the measure of angle DGC in the figure to the right?
Answer:
x = 50
DGC: 130 degrees
Step-by-step explanation:
x and the angle next to the angle x-10 are vertical angles are equal, so that means the two angles that add up to 90 are x and x-10.
x + x - 10 = 90
2x - 10 = 90
2x = 100
x = 50
The measure of angle DGC is:
180 - x
180 - 50
130
Helpppp pleaseeeeeeeeeeeeeee
Answer:
Step-by-step explanation: C %100
Answer:
I believe it is d but don't quote me on it
PLEASE HELP I WILL MARK BRAINLY IF THE ANSWER IS CORRECT
Answer:
I think it is B.
Step-by-step explanation:
Hope this helps.
On August 20, 1989, in Cologne, West Germany, Said Aouita of Morocco also established a world record when he ran the 3000. m run in 7 minutes, 29.45 seconds. What was his average speed (in m/s) for the race? Remember to include your data, equation, and work when solving problem
PLS HURRY I HAVE TO TURN THUS IN!!!!!
Answer:
Average speed of Aouita = 6.68 meter per second.
Step-by-step explanation:
To create a world record Aouita ran a distance = 3000 m
He took the time to cover this distance = 7 minutes 29.45 seconds
= (7×60) + 29.45 seconds
= 449.45 seconds
Since, formula for the average speed is given by,
Average speed = [tex]\frac{\text{Total distance covered}}{\text{Total time taken}}[/tex]
Therefor, average speed of Aouita = [tex]\frac{3000}{449.45}[/tex]
= 6.675
≈ 6.68 meter per second
Average speed of Aouita was 6.68 meter per second.
Answer:
6.67 m/s
Step-by-step explanation:
7 * 60 = 420
420 + 29.45 = 449.45
V = 3000. / 449.45= 6.67 m/s
I just need a little help
PLEASE HELP!
Find values for p and q so that the equation has infinitely many solutions.
-7x + p = qx + 1
p =
q =
Step-by-step explanation:
a1/a2=b1/b2=c1/c2
-7=p=qx+1
p= -7 ,qx+1= -7
p= -7 ,q= -6/x
In the parallelogram below, y=
Answer:
[tex] \\ \huge\boxed{\ddot\smile}[/tex]plz help yall I´m really bad at this
Answer:
should be -15
Step-by-step explanation:
Steve can clean 9 cars in 3 3/4 hours how many cars per hour?
Answer:
2.4
Step-by-step explanation:
What is equivalent to (9f + 12)*4)
Answer:
10
Step-by-step explanation:
is a symbol for Zero used in the Roman numerations systems
Answer:
no
Step-by-step explanation:
the word they used for zero is nulla meaning none
need help fast thank you
Answer:
a
Step-by-step explanation:
the answer is a because thats the answer.
Answer:
No it is the second one because:
- 7x => x represents the number of cans to be collected in 7 days
you've already collected 668 cans, and 2000 cans is the target.
2000-668= 1332÷7- 190.30
Evaluate using the given values.
a=1 b=2 c=3 x= -3 y= -2 z= -1
1.)2a+b/2 -c/b
2.)4x+3y
3.)5ab
4.)7y+2b
5.)7+a
6.)2b/4y
7.)3c-5z^2
8.)xyz
9.)ab/y^2
10.)6/abc
Answers:
1)1 1/2
2)-18
3)10
4)-10
5)8
6)-1/2
7) 34
8)-6
9)-1/2
10) 1
According to her running log, Alexa averaged 4 Miles per week last month and 50%less this month. How much did she average this month?
Answer:
2 miles per week
Step-by-step explanation:
If she averaged 50% less this month, that means her average this month is half of 4.
Divide 4 by 2
4/2
= 2
So, she averaged 2 miles per week this month
Please help me with this!!
I will give brainliest points!
Answer:
not sure if i am solving for x but x=1/3
Step-by-step explanation: