The table below shows the probability distribution of students in a high school with 1500 students. What is the expected value for the age of a randomly chosen student?
Age
13, 14, 15, 16, 18
Probability
0.01, 0.28, 0.30, 0.25,0.15,0.01
A. 15.28
B. 15.64
C. 15.34
D. 15.36
Answers
Answer: 15.28
Step-by-step explanation:
The expected value for the age of a randomly chosen student is,
⇒ 15.28
Given that:
Total number of students,
⇒ n = 1500,
And, Age : 13, 14, 15, 16, 17, 18
Probability : 0.01, 0.25, 0.27, 0.30, 0.16, 0.01
Now,
We can Calculate the expected value as shown below,
E = 13 × 0.01 + 14 × 0.25 + 15 × 0.27 + 16 × 0.30 + 17 × 0.16 + 18 × 0.01
E = 0.13 + 3.5 + 4.05 + 4.8 + 2. 72 + 0.18
E = 15.38
Therefore, The expected value for the age of a randomly chosen student is 15.38.
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A store clerk tells you that if you use a 10% off coupon the $30 jacket you want will only cost $20. What mistake has she made? What is the true cost of the jacket?
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Answer: The true cost of the jacket is $27 dollars.
Step-by-step explanation: To find the cost of the jacket after the discount just do 30 X .1 to get 3. Then take 3 and subtract it from 30. The mistake the clerk made was he probably just saw 10% and did 30-10=20. The clerk might have brain damage because this is like 5th grade math.
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The average cost for a gallon of gasoline in 2006 was $2.45. In 2007, the average cost of a gallon of gasoline was $3.29. What is the
approximate percent of change in the cost of a gallon of gasoline?
Answers
Answer:
34%
Step-by-step explanation:
100%=2.45
? =3.29
3.29/2.45×100=134.29
134.29-100=34%
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What is the missing value in the following arithmetic sequence?
4
3
9.2
2
1
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n
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an
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7.2
74
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Answers
Answer:
C-7.4
Step-by-step explanation:
just took the test EDG2020
The nth term of an arithmetic sequence is a +(n-1)d. The missing term of the arithmetic sequence is 7.4
How to calculate the nth term of an arithmetic sequence?The nth term of an arithmetic sequence is expressed according to the formula as shown:
Tn = a + (n -1)d
where:
a is the first term = 2
d is the common difference = 3.8 -2 = 1.8
Required
Fourth term (n = 4)
Substitute
T4 = 2 + (4 -1)(1.8)
T4 = 2+3(1.8)
T4 = 7.4
Hence the missing term of the arithmetic sequence is 7.4
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Lin is paid $90 for 5 hours of work. She used the table to calculate how much she would be paid at this rate for 8 hours of work 1. What is the meaning of the 18 that appears in the table?.
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Answer:
It was used as the multiplier because the 5 represents the hours she's worked. If she uses the 1/5 graph she will find the unit rate of each time she gets paid an hour.
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Answer:
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Step-by-step explanation:
SA = s^2 + 2sl
= 4^2 + 2(4)(6)
= 64 cm^2
Find the x-intercept of the following linear function: 3x - 2y- 16
QUICK
Answers
I gotchu
To solve for x-intercepts, y must be 0.
3x - 2(0) - 16 = 0
3x - 16 = 0
3x = 16
x = 16/3
X intercepts are ([tex]\frac{16}{3}[/tex],0)
Answer:
The answer is 5.33333333 or 5 1/3
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Answers
Answer:
B
Step-by-step explanation:
Because there's no change in x so it has to be a straight line going through the y-axis.
Also for A and C, they don't even touch y = 2 so you can easily cross those out.
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Answers
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Answers
Answer:
0.50, 4/10, 1/4, 0.06
Step-by-step explanation:
1/4 = 0.25
4/10 = 0.40
Answer:
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Step-by-step explanation:
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2/3 (x - 7) = -2
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Answers
Answer: x=4
Step-by-step explanation:
Answer:
x = 4
Step-by-step explanation:
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[tex]\frac{2}{3} x+\frac{-14}{3} =-2[/tex]
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Answer:
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Gas prices are expected to rise 5% each week for the next six weeks. Kevin spent $52.50 to fill his tank this week.
Which of the following represents the total amount Kevin can expect to spend to fill his tank over the next three
weeks, if he fills his tank once a week?
$52.50 + $55.13 + $57.76
$52.50 - $55.13 + $57.88
$55.13 + $57.76 - $60.39
$55.13 - $57.88 + $60.78
Answers
Answer:
D. $55.13 - $57.88 + $60.78
Step-by-step explanation:
52.50 x 1.05= 55.125 = 55.13
55.13 x 1.05= 57.88125 = 57.88
You can already eliminate a, b, and c because they don't match, so the answer is D.
The total amount is 55.13+57.88+60.78. Therefore, option D is the correct answer.
Given that, gas prices are expected to rise 5% each week for the next six weeks. Kevin spent $52.50 to fill his tank this week.
What is the percentage?In mathematics, a percentage is a number or ratio expressed as a fraction of 100.
Now, in the first week 105% of 52.50
52.50 x 1.05= 55.125 = 55.13
In the second week 105% of 55.13
55.13 x 1.05= 57.88125 = 57.88
In the third week 105% of 57.88
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Answer:
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Answer:
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6.75x−19.25=80
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6.75x−19.25+19.25=80+19.25
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Answers
The correct answer is: y = 7/4x + 3.
Step-by-step:
Move variables to the right side
-4y = -12 - 7x
Change the signs
4y + 12 + 7x
Divide both sides
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Reorder the terms
y = 7/4x + 3
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Step-by-step explanation
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Answer:
6 movies = 1st plan
7 movies = 1st plan
8 movies = Either is fine. (They're the same price)
9 movies = 2nd plan
10 movies = 2nd plan
Step-by-step explanation:
6 movies (1st plan) = 20 + 5 × 6
= 50 (less than 60 so it is cheaper)
7 movies (1st plan) = 20 + 5 × 7
= 55 (less than 60 so it is cheaper)
8 movies (1st plan) = 20 + 5 × 8
= 60 (same as 2nd plan so either is fine)
9 movies (1st plan) = 20 + 5 × 9
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10 movies (1st plan) = 20 + 5 × 10
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B:(1,5)
C:(7, 18)
D:(10, 3)
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Answers
Answer:
Answer option A: (1, 10)
Step-by-step explanation:
With the dilation by a factor of "2" via the origin, the point A goes from:
(2, 7) --> (4, 14)
Then with a shift of three units left it goes:
(4, 14) --> (4 - 3, 14) = ( 1, 14)
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Step-by-step explanation:
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Answers
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Which size bottle of ketchup is the best deal with the lowest unit price?
Prices for Different Sizes of Bottles of Ketchup
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Price
10 oz.
$2.50
14 oz.
$2.80
16 oz.
$4.00
18 oz.
$5.40
Answers
Answer:
14oz for $2.80
Step-by-step explanation:
Well to determine the unit prices you must divide the price by whatever the weight is. As so:
10oz: 2.5/10=0.25
14oz: 2.8/14=0.20
16oz: 4/16=0.25
18oz: 5.4/18=0.30
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Answers
Answer:
A.) 1/2
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NExt just count how many spaces are shaded and that number is your numerator
For example in A we see that there is 4 triangles total
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Step-by-step explanation:
Simplify (W^4)^4 without parentheses
Answers
Answer:
w^16
Step-by-step explanation:
you have to multiply the exponents when this happens so 4*4=16