Answer:
a) 83.099% of the club members had watched Naruto or Death Note.
b) 15.493% of the club members had watched only Naruto
c) 33.803% of the club members had watched only Death Note.
Step-by-step explanation:
First we find the number of students which each habit, treating the habits as Venn sets.
I am going to say that:
Set A: Watched an episode of Naruto.
Set B: Watched an episode of Death Note.
24 had watched both an episode of Naruto and an episode of Death Note:
This means that [tex](A \cap B) = 24[/tex]
48 had watched an episode of Death Note
This means that [tex]B = 48[/tex].
We have that:
[tex]B = (B-A) + (A \cap B)[/tex]
In which B - A are those who watched only Death Note. So
[tex]48 = (B-A) + 24[/tex]
[tex](B-A) = 24[/tex]
35 members had watched an episode of Naruto
This means that [tex]A = 35[/tex].
[tex]A = (A-B) + (A \cap B)[/tex]
[tex]35 = (A-B) + 24[/tex]
[tex](A-B) = 11[/tex]
At least one:
This is
[tex](A \cup B) = A + B - (A \cap B)[/tex]
So
[tex](A \cup B) = 35 + 48 - 24[/tex]
[tex](A \cup B) = 59[/tex]
Total number of students:
59 at least one, 12 none, so 71 total.
(a) What percent of the club members had watched Naruto or Death Note?
At least one, so 59 out of 71
59*100/71 = 83.099
83.099% of the club members had watched Naruto or Death Note.
(b) What percent of the club members had watched only Naruto?
11 out of 71. So
11*100/71 = 15.493
15.493% of the club members had watched only Naruto.
(c) What percent of the club members had watched only Death Note?
24 out of 71. So
24*100/71 = 33.803
33.803% of the club members had watched only Death Note.
Answer:
i think it is (b) What percent of the club members had watched only Naruto?
Step-by-step explanation:
A psychology professor assigns letter grades on a test according to the following scheme. A: Top 9% of scores B: Scores below the top 9% and above the bottom 56% C: Scores below the top 44% and above the bottom 20% D: Scores below the top 80% and above the bottom 6% F: Bottom 6% of scores Scores on the test are normally distributed with a mean of 79.3 and a standard deviation of 8.4. Find the numerical limits for a D grade. Round your answers to the nearest whole number, if necessary.
Answer:
You get a D if you have a grade between 66 and 72.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
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.
Scores on the test are normally distributed with a mean of 79.3 and a standard deviation of 8.4.
This means that [tex]\mu = 79.3, \sigma = 8.4[/tex]
D: Scores below the top 80% and above the bottom 6%
So between the 6th and the 20th percentile.
6th percentile:
X when Z has a pvalue of 0.06. So X when Z = -1.555.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.555 = \frac{X - 79.3}{8.4}[/tex]
[tex]X - 79.3 = -1.555*8.4[/tex]
[tex]X = 66.2[/tex]
Rounds to 66
20th percentile:
X when Z has a pvalue of 0.2. So X when Z = -0.84.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.84 = \frac{X - 79.3}{8.4}[/tex]
[tex]X - 79.3 = -0.84*8.4[/tex]
[tex]X = 72.2[/tex]
Rounds to 72
You get a D if you have a grade between 66 and 72.
Jayden has $10 in a savings account. The interest rate is 5%, compounded annually.
To the nearest cent, how much interest will he earn in 2 years?
$
Submit
Answer:
$1
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year,
then, solving our equation
I = 10 × 0.05 × 2 = 1
I = $ 1.00
The simple interest accumulated
on a principal of $ 10.00
at a rate of 5% per year
for 2 years is $ 1.00.
The slope of a linear function is 1/5. For every rise of 5 units, what is the run?
Answer:
for every rise of 1 the run would be 25
Enter the product as a mixed number
9514 1404 393
Answer:
10 1/5
Step-by-step explanation:
3 × 3 2/5 = 3(3) +3(2/5) = 9 +6/5 = 9 + 1 1/5
= 10 1/5
can somebody help me?
Is 2 a solution of 4z + 12 = 4? Complete the statement.
Answer:
No im pretty sure its not a solution.
Step-by-step explanation:
See if “z” is 2 than the answer to the solution would be 20
Answer:
The solution is -2
Step-by-step explanation:
4z + 12 = 4
Subtract 12 on each side (4z + 12 - 12 = 4 - 12)
4z = -8
Divide 4 on each side (4z / 4 = -8 / 4)
z = -2
y=24-4x function table
Answer:
here
Step-by-step explanation:
Answer:
Step-by-step explanation:
Who can help me with this question problem
Answer:
use the formula and evaluate the givens
Step-by-step explanation:
336=(14/11)^2 * 22/7*h
336=196/121 * 22/7h
336= 4312/847h
336= 5.09h
h=66
If the area of a rectangle is (15x2 - 16x - 15) square feet, and its length is (3x - 5) feet, find its width
Answer:
255
Step-by-step explanation:
(15x2 - 16x - 15) = 270
(3- 5) = -15
270
- -15
= 255
The breadth of the rectangle is (-5x-3).
Area of rectangleThe area of a rectangle is given as the product of its length to its breadth.
[tex]\rm{Area\ of\ Rectangle = Length \times breadth\\[/tex]
Given to usarea of a rectangle = (15x2 - 16x - 15)
length = (3x - 5)
Width[tex]Area\ of\ Rectangle = Length \times breadth\\(15x^2-16x-15)=(3x-5)\times breadth\\\\(3x-5)\times breadth=(15x^2-16x-15)\\\\breadth = \dfrac{(15x^2-16x-15)}{(3x-5)}\\\\breadth = (-5x-3)[/tex]
Hence, the breadth of the rectangle is (-5x-3).
Learn more about Rectangles:
https://brainly.com/question/10046743
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Answer: What is this free?
Answer:
yes
Step-by-step explanation:
yes+yes(no-no)
=yes
The sum of a number and six times its reciprocal is 10. Find the number
Answer:
two solutions work: x = 5 + [tex]\sqrt{19}[/tex] and x = 5 - [tex]\sqrt{19}[/tex]
Step-by-step explanation:
x + 6 ( 1/x ) = 10
x^2 + 6 = 10x
x^2 - 10x + 6 = 0
x = 5 + [tex]\sqrt{19}[/tex], 5 - [tex]\sqrt{19}[/tex]
what is the measurement of jkl
Answer:
The angles combined together are 200, so you will have to subtract the difference of 200 and 180 from the combined angles. The angle of line JKL is 160 degrees.
Step-by-step explanation:
Please mark as brainliest!
Answer:
The measure of angle JKL is 97 degrees.
Step-by-step explanation:
The length of a rectangle is 20 inches less than twice the width. The perimeter of the rectangle is 86 inches. Find the dimensions of the rectangle.
Answer:
length=22
width=21
Step-by-step explanation:
let, length be x and width be y.
x=2y-20
2(x+y)=86
or, 2(2y-20+y)=86
or, 2(3y-20)=86
or, 6y-40=86
or, 6y= 126
or, y= 126/6
y= 21
x= 2×21-20 = 42-20 =22
Y - 5= - (5 - y)
Does it have a solution?
Answer:
infanite
Step-by-step explanation:
-2y + 4 > 10
solve the inequality
Step-by-step explanation:
-2y+4>10
subtract 4 from both sides
-2y+4-4>10-4
-2y>6
divide both sides by two
-2/2y>6/2
-1y>3
if negative y is greater than three than you have to multiply both sides of the equation by -1
y>-3 if you put that back into the earlier equation it is impossible.
so we have to switch the signs to < or less than
y<-3
Hope that helps:)
5x (-3)
A .The amount of money a snack bar earns for selling 3 sandwiches for $5 per sandwich
B.The temperature change as it decreases 5 degrees every hour for 3 hours
С. A child grew 3 inches each year for 5 years
D.The change in elevation of a submarine as thinks 3 meters every second for 5 seconds
Answer:
you're answer is negative 15
What is the formula for calculating Cone?
Which number is not a factor of 42?
2 3. 4 7
Answer:
3
by using divisibility test
Answer: Its 3
Step-by-step explanation: This is because 42 can be divided by 2 4 and 7 and still be a whole number but when you divide 3 by 42 you get 10.5
Hope this helps and have a nice day
In which rainforest three layer would you most expect to spot a harpy eagle
Answer:
canopy layer
Step-by-step explanation:
The Property where if the order of addends changes, the sum stays the change
Help please. Monica estimates the recipe makes about 5 cups of fruit salad. which example describes whether Monica estimates is reasonable?
Not reasonable. Four fractions cannot equal more than 4 cups.
B
Not reasonable. The whole numbers add up to 3 so the total sum cannot be 5 cups.
C
Reasonable. The grapes and apples is about 2 cups and pears and oranges is exactly 3 cups.
D
Reasonable. The pears and apples is about 3 cups and the grapes and oranges is exactly 2 cups.
Answer:
A.
Step-by-step explanation:
Not reasonable, Why did you put that as your answer?
The whole numbers add up to more then 4 cups.
11 and 3/8 pounds of cat food were donated to the shelter
Can someone please help me what's the answer?
Answer:
k=77
Step-by-step explanation:
put this as the equation k/11=7
what divided by 11 equals 7. Just multiply 11 and 7 to get the answer.
Find the area of each. Use pi = 3.14
Nayla delivers 63 magazines on Saturday and 72 magazines on Sunday. She makes bundles of 9 magazines for each of her delivery routes. How many delivery routes does Nayla have on Saturday and Sunday?
Answer:
14
Step-by-step explanation:
9*6=63
9*8=72
6+8=14
The opposite sides of a parallelogram
are
Answer:
Parallel
Step-by-step explanation:
In a parallelogram there are two sets of parallel lines, and they are always opposite sides.
For example: a square has 4 sides, the ones along the top and bottom are parallel and the ones along the left and right are also parallel
Value of ratio 3/4 to 2
Answer:
3/8 or 0.375
Step-by-step explanation:
0.75/2 = 3/8
The receipt below shows the money, in dollars, spent by a customer at the good groceries stores
Use the table to write a linear function that relates y to I.
X
-2
0
2
4
y
-7
- 7 - 7
- 7
=
10
Answer:
y = -7
Step-by-step explanation:
✔️Find the slope (m) using any two pairs of values, say (0, -7) and (2, -7):
Slope (m) = ∆y/∆x = (-7 -(-7))/(2 - 0) = 0/2 = 0
Slope (m) = 0
✔️Find y-intercept (b):
y-intercept is the value of y when x = 0. From the table, when x = 0, y = -7.
Therefore, y-intercept (b) = -7
✔️ Substitute m = 0 and b = -7 into y = mx + b (slope-intercept form):
y = 0(x) + (-7)
y = -7
The two figures shown are congruent. Which statement is true?
One figure is a translation image of the other.
One figure is a rotation image of the other.
Neither figure is a translation or rotation image of the other.
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Answer:
(b) One figure is a rotation image of the other
Step-by-step explanation:
The axis of symmetry is horizontal for the left figure, and vertical for the right figure. The right figure has been rotated 90° CW from the left figure.