Answer:
(a) The mean is 65.9, the median is, 66.5 and the mode is. 61.
(b) The first and third quartiles are 61 and 71 respectively.
(c) The value of the 90th percentile is, 78.3.
Step-by-step explanation:
The ratings of 20 top-of-the line jackets, arranged in ascending order are as follows:
S = {42 , 53 , 54 , 61 , 61 , 61 , 62 , 63 , 64 , 66 , 67 , 67 , 68 , 69 , 71 , 71 , 76 , 78 , 81 , 83}
(a)
Compute the mean as follows:
[tex]\bar x=\frac{1}{n}\sum\limits^{n}_{i=1}{x_{i}}=\frac{1}{20}\times 1318=65.9[/tex]
Compute the median as follows:
For an even number of values the median is the average of the middle two values.
[tex]M=\frac{10^{th}obs.+11^{th}obs.}{2}=\frac{66+67}{2}=66.5[/tex]
Compute the mode as follows:
The mode of a dataset is the term that occurs most of the time.
[tex]m=61[/tex]
Thus, the mean is 65.9, the median is, 66.5 and the mode is. 61.
(b)
The first quartile is the median of the first half of the data set.
S₁ = {42 , 53 , 54 , 61 , 61 , 61 , 62 , 63 , 64 , 66}
[tex]Q_{1}=\text{Median of }S_{1}=\frac{5^{th}obs.+6^{th}obs.}{2}=\frac{61+61}{2}=61[/tex]
The third quartile is the median of the second half of the data set.
S₂ = {67 , 67 , 68 , 69 , 71 , 71 , 76 , 78 , 81 , 83}
[tex]Q_{3}=\text{Median of }S_{2}=\frac{15^{th}obs.+16^{th}obs.}{2}=\frac{71+71}{2}=71[/tex]
Thus, the first and third quartiles are 61 and 71 respectively.
(c)
The pth percentile is a data value such that at least p% of the data set is less-than or equal to this data value and at least (100 - p)% of the data-set are more-than or equal to this data value.
Use the Excel formula "=PERCENTILE.INC(array,0.9)" to compute the 90th percentile.
The value of the 90th percentile is, 78.3.
This value implies that 90% of the ratings are less than 78.3.
Please Help ASAP -
Lauren is saving for a new purse that costs $65. She already has $14 and will earn $2 for a weekly allowance. Her dad will also give her $3 a week for good behavior. How many weeks will it take before Lauren has enough money for her new purse?
Answer:10 weeks
Step-by-step explanation:
Kylie is shopping at the mall. She buys a pack of water balloons for $3. She also buys seven t-shirts, each marked at the same price. Kylie spends a total of $59
Identify which equation models this situation.
a.3x+7=59
b.3x+7y=59
c.3x+7x=59
d.7x+3=59
Answer:
b 3x +7y =59
Step-by-step explanation:
x is water balloons at 3 each and y is t-shirts at 7$ each.
what letter grade is a 38/49
Answer:77%
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
because if you multiply 38/49, it would be 76/98. and 76 is a letter c, but if i am wrong its b.
What is the area of the trapezoid shown? * 4cm 10cm 10cm 8cm
In a certain city, three newspapers A, B, and C are published. Suppose that 60% of the families in the city subscribe to newspaper A, 40% of the families subscribe to newspaper B, and 30% subscribe to newspaper C. Suppose also that 20% of the families subscribe to both A and B, 10% subscribe to both A and C, 20% subscribe to both B and C, and 5% subscribe to all three newspapers. (i) What percentage of the families in the city subscribe to at least one of the three newspapers? (ii)What percentage of the families in the city subscribe to exactly one newspaper?
Answer:
(i) = 85%
(ii) = 30%
Step-by-step explanation:
The question is a probability question.
We will need the following values:
P(A) = 60%
P(B) = 40%
P(C) = 30%
P(AnB) = 20%
p(AnC) = 10%
P(BnC) = 20%
P(AnBnC) = 5%
(i) To determine the percentage of the families in the city that subscribe to at least one of the three newspapers:
P(A) + P(B) + P(C) + P(AnBnC) - P(AnB) - p(AnC) - P(BnC)
= 60% + 40% + 30% + 5% - 20% - 10% - 20%
= 85%
(ii) To determine the percentage of the families in the city that subscribe to exactly one newspaper:
P(at least one paper) - p(AnB) - p(AnC) - P(BnC) - P(AnBnC)
= 85% - 20% - 10% - 20% - 5%
= 30%
-9y+7=24y-4. Solve for y.
Answer:
y=1/3
Step-by-step explanation:
-9+7=24y-4
7=33y-4
11=33y
y=1/3
Rafael writes an expression to represent “a number, n, decreased by thirty-one.” Then he evaluates that expression if n = 29. Which statements are true about the expression and its evaluation? Check all that apply.
The correct expression is 31 minus n.
This is a subtraction expression.
This is an addition expression.
To evaluate, substitute 29 for the variable in the expression.
To evaluate, substitute 31 for the variable in the equation.
To evaluate the expression, add 31 to 29.
The correct expression is n minus 31.
To evaluate the expression, subtract 31 from 29.
Please hurry I need this answer ASAP
Answer:
The correct alternatives
This is a subtraction expression
The correct expression is n minus 31
To evaluate the expression, subtract 31 from 29.
Step-by-step explanation:
Rafael writes an expression to represent “a number, n, decreased by thirty-one.”
First you gotta know what means "decreased by thirty-one". It means that
there exist two numbers where the difference between them is 31.
The number [tex]n[/tex] decreased by 31 can be writen as
[tex]n-31[/tex]
The expression is therefore
[tex]n-x=31 \implies \boxed{x=n-31}, n, m \in \mathbb{R}[/tex]
Rafael evaluates the expression [tex](n-31)[/tex] for [tex]n=29[/tex]
[tex]n-31 = 29-31 = -2[/tex]
Answer:
A. B. G. H
Step-by-step explanation:
The chart below shows how far an object travels over a certain time.
A 3-column table with 4 rows. Column 1 is labeled Seconds with entries 4, 8, 12, 16. Column 2 is labeled Inches with entries 18, 36, 54, 72. Column 3 is labeled feet with entries 1.5, 3, blank, 6.
After 12 seconds, how far, in feet, will the object travel?
It will travel ??? feet
Answer:
4.5 Hope this helps
Step-by-step explanation:
Answer: 4.5
Step-by-step explanation: edge. 2022
Beth and Pam both did some babysitting in the summer. Pam earned $4 less than 3 times as much as Beth. Together they earned $860. How much money did each person earn babysitting?
======================================================
Work Shown:
B = amount Beth earned
P = amount Pam earned
amounts are in dollars
Pam earned $4 less than 3 times as much as Beth, so,
P = 3B-4
Together they earned $860, meaning
P+B = 860
Plug the first equation into the second. Solve for B
P+B = 860
3B-4+B = 860
4B-4 = 860
4B = 860+4
4B = 864
B = 864/4
B = 216
Use this to find P
P = 3B-4
P = 3*216-4
P = 648-4
P = 644
Beth earned $216 and Pam earned $644.
----------------------------------------
Check:
B+P = 860
216+644 = 860
860 = 860
First equation is true
P = 3B-4
644 = 3*216-4
644 = 644
Second equation is true
Both equations are true when (B,P) = (216,644) so the solutions have been confirmed.
Please help with this fast
Answer:
integers from -1 ≤x≤2
Step-by-step explanation:
The domain is the value of the input or the x values
The domain is -1,0,1,2
integers from -1 ≤x≤2
What is the midpoint of P(-3,-7) and Q(3,-5)
Answer: See Screenshot
Step-by-step explanation:
I need help with the question plzzzz
Answer:
6 and 8
Step-by-step explanation:
have a great day luv
Let f(x) = 2x – 3 and g(x) = 3x – 2. Find the value.
(fog)(-2)
(fog)(-2) =
PLEASE HELP!!!
Answer:
Ok:
Step-by-step explanation:
So f°g . means f(g(x)). (The ° should be more center and bigger but I don't know to do that on a keyboard). f(g(x)) means that you replace the x in f(x) with the g(x) function. i.e:
if f(x) = 2x+2
and g(x) = [tex]x^2[/tex]
f(g(x)) = [tex]2x^2+2[/tex].
Similarly, in this case, we get f(x) = 2x-3 and g(x) = 3x-2.
Then, f(g(x)) or f°g(x) is 2(3x-2) - 3.
And we plug in -2 to solve:
2(3(-2)-2)-3.
and get -19.
Check if I am wrong because everyone makes mistakes but that is the way to solve this.
Is (10^2)^-3 equivalent to (10^-2)^3
Answer:
Yes, they both become 1/1,000,000
Step-by-step explanation:
PLEASE HELP
DUE SOON
Your class is selling boxes of flower seeds as a fundraiser. The total profit p depends on the amount x that your class charges for each box of seeds. The equation
p= -0.53 +25x - 120
models the profit of the fundraiser. What's the
smallest amount, in dollars, that you can charge and make a profit of at least $105?
Answer:
$9.03
If you want smallest amount it dollars, you have to go with $9. However, this will only give you a profit of $104.47
Step-by-step explanation:
p = -0.53 +25x - 120
105 = -0.53 +25x - 120
225.53 = 25x
x = 9.0212
Check work:
105 = -0.53 +25(9.02) - 120
105 ≠ 104.97
Since $9.02 doesn't equal $105 profit, let's add a penny to make it $9.03.
105 = -0.53 +25(9.03) - 120
105 ≠ 105.22
If you charge $9.03 for each box you will make a profit of at least $105.
Round to smallest amount in dollars:
105 = -0.53 +25(9) - 120
105 ≠ 104.47
4. Over the span of a month, a school tracks student choices at lunch. They 1 point
find that 56% of all students buy milk with lunch and 32% buy a piece of
fruit. If 22% of all students buy both milk and fruit, which of the following
represents the percent of students who buy neither?
A. 0.28
B. 0.34
C. 0.42
D. 0.46
Answer:
b
Step-by-step explanation:
56 +32 =88
88 - 22 = 66 remove this who did both as to not double count
100-66=34 bought neither
The sales tax for a $53.85 handbag with a 7% sales tax is
Answer:
$3.77 is the tax. Total is $57.62 is you buy it.
Step-by-step explanation:
Answer:
3.77
Step-by-step explanation:
Sales price x sales tax rate = sales tax
53.85 x .07 (7%) = 3.77
Isabel purchased a prepaid phone card for $20. Long-distance calls cost 18 cents a minute using this card. Isabel used her card only once to make a long-distance call. If the remaining credit on her card is $14.24, how many minutes did her call last?
Answer:
20 - .07c = 17.13
20 - 17.13 = 2.87
2.87/7 = 41
Her call took 41 minutes
Step-by-step explanation:
George earns $15 an hour, works 40 hours per week and about 50 weeks a year. what is his gross income for the year
Juan runs 6 miles in 30 minutes. At the same rate, how many miles would he run in 35 minutes.
Answer:
7
Step-by-step explanation:
30 ÷ 6 = 5 minutes per mile
7 × 5= 35
Answer:
He would run seven miles in 35 minutes.
Step-by-step explanation:
If he runs 6 miles in 30 minutes, then he runs at a rate of 1 mile in 5 minutes. So he'd be running 7 miles in 35 minutes. Multiply 5 by 7.
What is equivalent to (r^-7)^6
A bamboo tree grew 3 in. Per day. Write and solve an equation to find how many days d it took the tree to grow 144 in. What is the equation
Answer:
144 divided by 3 = d (number of days)
Step-by-step explanation:
Answer:
Equation: 3d=144
Solution: 48 days
Step-by-step explanation:
Since it grown 3 in. per day and it grew 144 in.
U have to divide the 2 numbers
3d=144
d=144/3
d=48 days
(d=how many days)
3^10 + 3^10 + 3^10=
a)9^30
b)3^30
c)9^10
d3^11
Answer:
As a^m+a^m+a^m=a^m+m+m or (a+a+a)^m {WHEN BASES ARE SAME WE CAN ADD THE BASES TOGETHER AND PUT THE POWER (IN CASE OF ADDITION) AND WHEN POWERS ARE SAME WE CAN ADD THE POWERS AND LET THE BASE REMAIN SAME}
So,
(3+3+3)^10 and 3^10+10+10 is also true (only because both the basesa nd the powers here are the same)
So,
9^10 and 3^30
So option b and c are correct
16-3p=3/2p+5 solve for P
WILL GIVE BRAINLYIST!!!
Apples are ____% of the total number of fruits.
Answer:
25%
Step-by-step explanation:
what is the value of 2 power 1
Answer:
2
Step-by-step explanation:
[tex]2^1=2[/tex]
Any number to the power of 1 equals the number itself
Answer:
2
Step-by-step explanation:
2 ^1 is the same as saying multiplying 2 one time. 1x2 =2. Another example would be 2^2. You would multiply 2 by 2 twice, so two 2s.
what percenr of 60 is 15
Answer:
9%
Step-by-step explanation:15% of 60 is 9%
Answer:
25%
Step-by-step explanation:
A the graph shows a proportional relationship between the number of computers produced a factory per day and 3 days 36 computers are produced 48 computers are produced in 4 days and 60 computers are produced in 5 days find the unit rate of computers per day using the graph
Answer:
12 computers/1 day
Step-by-step explanation:
Take one of the day numbers and the output: 60/5=12 per day
Which expression does not belong with the other three?
Answer:
I think is the one with parenthesis
Help please ! Which similarly postulate or theorem let’s you conclude that JLK~MNO?
Answer: SSS
Step-by-step explanation: