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.
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
I just need a little help
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
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
plz help yall I´m really bad at this
Answer:
should be -15
Step-by-step explanation:
What is equivalent to (9f + 12)*4)
Answer:
10
Step-by-step explanation:
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:
PLEASE HELP I WILL MARK BRAINLY IF THE ANSWER IS CORRECT
Answer:
I think it is B.
Step-by-step explanation:
Hope this helps.
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
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
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
MATH SEND HELP THANKS BAES
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
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
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
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
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:
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.
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
You want to find the width, AB, of a river. You walk along the edge of the river 100 ft and mark point C. Then
you walk 22 ft further and mark point D. You turn 90° left and walk until your location, point A, and point C are
collinear. You mark point E at this location, as shown.
(a) Suppose DE = 42 ft. What can you conclude about the width of the river? Explain. Your explanation
should include the approximate width and how you got this answer.
(b) Can you conclude that △ and △ are similar? Why or why not?
Answer:
I have been trying to figure this one out, I'm sorry but i don't know the answer
Step-by-step explanation:
i hate math
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:
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
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
In the parallelogram below, y=
Answer:
[tex] \\ \huge\boxed{\ddot\smile}[/tex]Helpppp pleaseeeeeeeeeeeeeee
Answer:
Step-by-step explanation: C %100
Answer:
I believe it is d but don't quote me on it
97.28 ÷ 19
PLEASE HELP PLEASE PLEASE HURRY HELP ME PLEASE
Answer:
5.12
Step-by-step explanation:
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
Steve can clean 9 cars in 3 3/4 hours how many cars per hour?
Answer:
2.4
Step-by-step explanation: