A random sample of people were surveyed on their favorite sport, as shown in the table below sorted by the respondent’s age.
What percent of the people between the ages of 21 and 34 prefer other sport and/or hate sports? Round your answer to the nearest tenth of a percent.
Answers
Answer:
22.5%
Step-by-step explanation:
The total of people surveyed between 21-34 is 40 and the total number who prefer other or hate sports is 9 so the percent is 9/40 which is equal to 2.25. Multiply this number by 100 to get it as a percent and you have 22.5%
22.5% of the people between the ages of 21 and 34 prefer "Other/Hate Sports."
What is Percentage?Percentage is a way of expressing a fraction or a portion of a whole as a value out of 100. It is denoted by the symbol "%". Percentages are used to represent proportions, ratios, or rates in a more easily understandable and comparable form.
To find the percentage of people between the ages of 21 and 34 who prefer other sports and/or hate sports, we need to calculate the proportion of the total respondents in that age group who have chosen "Other/Hate Sports."
The table shows that there are 9 people between the ages of 21 and 34 who prefer "Other/Hate Sports" out of a total of 40 respondents in that age group.
So, Percentage = (Number of people with the preference / Total number of respondents in the age group) x 100
= (9 / 40) x 100
= 22.5%
Therefore, 22.5% of the people between the ages of 21 and 34 prefer "Other/Hate Sports."
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Related Questions
How many turning points are in the graph of the polynomial function?
2 turning points
3 turning points
4 turning points
5 turning points
Answers
[tex] \mathbb\red{4\:turning\:points} [/tex]
Use substitution to solve the system.
2y-13=x
-4x+5y=40
X=
Y=
Answers
y=4
x=-5
Step-by-step explanation:
-4(2y-13) + 5y = 40
-8y + 52 + 5y = 40
-3y + 52 = 40
-3y = -12
y=4
x=-5
what is the perimeter ?
Answers
Answer:
53
Step-by-step explanation:
You get the perimeter by adding up all of the sides. I added them up and got 53
I need help with this
Answers
Answer:
Class 1.
Step-by-step explanation:
Class 1 has the greater interquartile range.
Answer:
Class #2
Step-by-step explanation:
IQR of Class #1:
85 - 72 = 13
IQR of Class #2:
90 - 70 = 20
Class #2 has a greater IQR!
Hope this helps!
Express as single logarithm.
1/2 log (x) - 2 log (2y) + 3 log (z)
Answers
Answer:
[tex]\log\left(\dfrac{\sqrt{x}\:z^2}{4y^2}\right)[/tex]
Step-by-step explanation:
[tex]\dfrac12\log(x)-2\log(2y)+2\log(z)[/tex]
[tex]\textsf{Apply log power rule}: \quad n \log(x)=log(x)^n[/tex]
[tex]\implies \log(x)^{\frac12}-\log(2y)^2+\log(z)^2[/tex]
[tex]\textsf{Apply exponent rule}: \quad(ab)^c=a^cb^c[/tex]
[tex]\implies \log(\sqrt{x})-\log(4y^2)+\log(z^2)[/tex]
[tex]\textsf{Apply log quotient rule}: \quad \log(x)-\log(y)=log(\frac{x}{y})[/tex]
[tex]\implies \log\left(\dfrac{\sqrt{x}}{4y^2}\right)+\log(z^2)[/tex]
[tex]\textsf{Apply log product rule}: \quad \log(x)+\log(y)=log(xy)[/tex]
[tex]\implies \log\left(\dfrac{\sqrt{x}\:z^2}{4y^2}\right)[/tex]
In the figure below, xZ=25 and YZ=17. Find xY.
xY=
Answers
Answer:
XY = 8
Step-by-step explanation:
XY + YZ = XZ , that is
XY + 17 = 25 ( subtract 17 from both sides )
XY = 8
The graph of a function is shown:
which of the following correctly identifies the set of outputs?
a: {(5,-2), (1,-1), (-2,2), (2,5)}
b: {(-2,5), (-1,1), (2,-2), (5,2)}
c: {-2, -1, 2, 5}
d: {-2, 1, 2, 5}
Answers
Answer:
B.
Step-by-step explanation:
Use (X, Y)
X being the horizontal line
Y being the vertical line
Use the quadratic equation y = –2x^2 + 4x +5 to complete the statements.
Answers
Answer:
x=2.87083
Step-by-step explanation:
y = –2x^2 + 4x +5
ax^2 + bx + c = 0
a= -2
b= 4
c= 5
Quadratic formula: x= -b±√b^2-4ac over 2a
1. plug in the numbers
2. x= -4 ± √4^2 -4(-2)(5) over 2(-2)
3. x= -4 ± √16+40 over -4
4. x= -4 ± √56 over -4
next simplify ratidal
x= -4 ± √2·2·2·7 over -4
x= -4 ± 2√2·7 over -4
x= -4 ± 2√14 over -4
divide both sives over four
x= -4 over -4 ± 2√14 over -4
x= -1 over -1 ± √14 over -2
answer:
x=2.87083
What is the area of this figure?
Answers
Answer:
119 cm²
Step-by-step explanation:
The area of a composite shape can be found by dividing it into shapes whose area formulas you know.
__
Here, the shape can be divided into 3 rectangles by extending the vertical lines through the figure. Left to right, those rectangles are ...
2 wide × 17 hign ⇒ area = (2 cm)(17 cm) = 34 cm²
10 wide × 7 high ⇒ area = (10 cm)(7 cm) = 70 cm²
5 wide × 3 high ⇒ area = (5 cm)(3 cm) = 15 cm²
Then the total area is ...
(34 +70 +15) cm² = 119 cm²
A sollid piece of iron in the form of a cuboid of dimensions 49cm × 33 cm× 24 cm , is moulded to form a solid sphere. find the radius of the sphere
Answers
Answer:
Radius of sphere is 21 cmStep-by-step explanation:
Given:
A sollid piece of iron in the form of a cuboid of dimensions 49cm × 33 cm× 24 cm , is moulded to form a solid sphere.To Find:
Radius of the sphereSolution:
Volume of sphere = Volume of cubiod
↠ 4/3 πr³ = LBH
↠ 4/3 × 22/7 × r³ = 49 × 33 × 24
↠ 4/3 × 22/7 × r³ = 38808
↠ 4 × 22/7 × r³ = 38808/3
↠ r³ = 38808 × 3 × 7/4 × 22
↠ r³ = 441 × 21
↠ r³ = 9261
↠ r = 21 cm
Hence,
Radius of sphere is 21 cmAnswer:
21.00 cm to the nearest hundredth.
Step-by-step explanation:
The volume of the sphere will be equal to the volume of the cuboid.
So 4/3 π r^3 = 49*33*24 where r = radius of the sphere.
r^3 = (49*33*24 ) / 4/3 π
r^3 = 38808 / 4.18879
= 9264.728
r = ∛9264.728
= 21.0028 cm.
Generate an equivalent expression for 24x+18y by factoring out the GCF
Answers
The GCF of 24x and 18y is their greatest common factor
The equivalent expression of 24x + 18y is 6(4x + 3y)
How to determine the equivalent expression?The expression is given as:
24x + 18y
Express each term as the product of 6
24x + 18y = 6 * 4x + 6 * 3y
Factor out 6 from the expression
24x + 18y = 6 (4x + 3y)
Hence, the equivalent expression of 24x + 18y is 6(4x + 3y)
Read more about equivalent expressions at:
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A group of friends wants to go to the amusement park. They have no more than $230 to spend on parking and admission. Parking is $8, and tickets cost $27.75 per person, including tax. Write and solve an inequality which can be used to determine xx, the number of people who can go to the amusement park.
Please help me
Answers
Answer:
230=8X+27.75X
230=35.75X
x = 6 Rounded down
8*6=48
27.75*6=166.5
48+166.5=214.5
Amount of frindes can go is 6
Step-by-step explanation:
Solve for x in the equation x squared minus 12 x 36 = 90.
Answers
Answer:
x = ±3√58
Step-by-step explanation:
Given
x² - (12 x 36) = 90Solving
x² - 432 = 90x² = 522x² = 9 x 58x = ±3√58Answer:
[tex]x =[/tex] ± [tex]22.85[/tex]
Step-by-step explanation:
Step 1: Multiply 12 * 36
[tex]x^2 - (12 * 36) = 90[/tex]
[tex]x^2 - 432 = 90[/tex]
Step 2: Add 432 to both sides
[tex]x^2 - 432 + 432 = 90 + 432[/tex]
[tex]x^2 = 522[/tex]
Step 3: Square root both sides
[tex]\sqrt{x^2} = \sqrt{522}[/tex]
[tex]x =[/tex] ± [tex]22.85[/tex]
Answer: [tex]x =[/tex] ± [tex]22.85[/tex]
65%of 320+?=686
Options are:
a) 480
b) 452
c) 461
d) 475
e) none of these
Answers
Answer:
e) none of these
Explanation:
65% * 320 + ? = 686208 + ? = 686? = 686 - 208? = 478Answer:
e) None of these.
Step-by-step explanation:
Let the unknown number be x, then:
0.65*320 + x = 686
208 + x = 686
x = 686 - 208
= 478
The expected adult weight of a golden retriever puppy is 1.5w, where w is the puppy's weight at 6 months of age. Britney's 6-month-old golden retriever puppy weighs 40 pounds. What is the expected adult weight of Britney's puppy?
Answers
Answer:
60
Step-by-step explanation:
bceuase i got it right just multiply
Find the area - PLSS HELPP AND HURRY PLS
Answers
Answer:
40
Step-by-step explanation:
its just 4 x 10, move the triangle to the other side
unless its not a triangle lol
then i have no idea
If f(x) = 3^2 + 10x and g(x) = 2x-4, find (f-g)(x).
Answers
What we know:
[tex]f(x)=3^2+10x\\g(x)=2x-4[/tex]
(Also, [tex]3^2=9[/tex])
What we need to solve:
[tex](f-g)(x)[/tex] (This is equal to [tex]f(x)-g(x)[/tex])
How you have to subtract [tex]f(x)[/tex] with [tex]g(x)[/tex] to get:
[tex](f-g)(x) = f(x)-g(x) = 9+10x+2x-4 = 12x+5[/tex]
Thus, the answer would be:
[tex]12x+5[/tex]
An exam has two papers. Anil scores 22 out of 80 on paper 1 and 75 out of 100 on paper 2. Work out his percentage score for the exam.
Answers
Answer:
53.89%
Step-by-step explanation:
total no. obtainable = 80 + 100 = 180
total scores acquired = 22 + 75 = 97
percentage = (total acquired/total possible) × 100
= (97/180) × 100
= 53.89 %
You received an $8500 bonus, which was 12% of your salary. What is your annual salary with this bonus?
Answers
$79333
Step-by-step explanation:[tex]salary:x[/tex]
[tex]12\%x=8500[/tex]
[tex]x=8500\div 12\%[/tex]
[tex]x=70833[/tex]
[tex]70833+8500=\$79333[/tex]
I hope this helps you
:)
Identify the x-intercept and the y-intercept of the graphs.
Answers
Answer:
1st picture:
y-intercept = -2
x-intercept = 3
2nd picture:
y-intercept = 1
x-intercept = 2
Step-by-step explanation:
y-intercept: the point where the graph intersects the y-axis.
x-intercept: the point where the graph intersects the y-axis.
1st picture:
y-intercept = -2
x-intercept = 3
2nd picture:
y-intercept = 1
x-intercept = 2
if sin(32)=x , then sin(4) cos(4) cos(8) cos(16)=..............
Solve using double angle trigonometric functions
Answers
If sin 32 is equal to x, then sin 4 · cos 4 · cos 8 · cos 16 is equal to x/8 by using double angle trigonometric functions.
How to simplify an expression by trigonometric expressions
Trigonometric expressions are formulas that utilize trigonometric functions. Trigonometric functions are a kind of trascendental functions, that is, functions that cannot be described in algebraic terms.
In this question we must simplify a given expression by using the following trigonometric formula:
sin 2x = 2 · cos x · cos x (1)
Now we proceed to expand the expression given:
x = sin 32
x = 2 · sin 16 · cos 16
x = 4 · sin 8 · cos 8 · cos 16
x = 8 · sin 4 · cos 4 · cos 8 · cos 16
Thus,
sin 4 · cos 4 · cos 8 · cos 16 = x/8
If sin 32 is equal to x, then sin 4 · cos 4 · cos 8 · cos 16 is equal to x/8 by using double angle trigonometric functions. [tex]\blacksquare[/tex]
To learn more on trigonometric functions, we kindly invite to check this verified question: https://brainly.com/question/6904750
The circumference of a circle is 31.4 metres. What is the circle's diameter?
Answers
Answer:
9.99m
Step-by-step explanation:
d≈9.99m
C Circumference
31.4m
Using the formulas
C=2πr
d=2r
Solving ford
d=C
π=31.4
π≈9.99493m
Help me please. I really neeed it
Answers
Answer: You need to put the same shape as it shows there on the top.
Step-by-step explanation: I hope this helped you.
Please help, will give 15 points!!!
A standard number cube is tossed. Find each probability.
P(even or less than 4)
Answers
Answer:
total 6
even 2, 4, 6
even or less than 4: 2, 4
p = 2/6 = 1/3
brainliest?
In a school, 5/8 of the students are boys. If there are 240 girls, find the number of boys in the school.
Answers
Answer:
400 boys
Step-by-step explanation:
First use the fraction along with the given information (240 girls)
If 5/8 of the school are boys, then that means 3/8 of the school's students are girls. 3/8 happen to be equal to 240, which means we can conclude that 1/8 is equivilant to 240/3 = 80
80 multiplied by 5 = 400
There are 400 boys in the school. (640 total students in school)
Tip: Easy way to check answer is by putting the boys over the total students to find the ratio, and if it matches, your answer is correct. 400/640 = 0.625, which equals 5/8
Hope this helps :)
Find the area - HURRY PLS
Answers
Answer:
799.04
Step-by-step explanation:
if 8 is the radius, use pi(r)^2 to get 64 pi is the area of the circle, plug in 3.14 and you will get 200.96 - 50(20) which is 1000 so you get 779.04
The graph of g(x)=(x-12)^2 is the graph of f(x)=x^2 translated ____ units
Answers
[tex] \black{ \rule{1000pt}{5555555pt}}[tex] [/tex]
pleessss helpppp for brainlyyyyy
Answers
$37.51 - the third option above
Step-by-step explanation:
A
1600 x 1.053^3= 1868.12
B
1600x1.06^3 =1905.63
Difference
1905.63-1868.12= 37.51
$37.51
Hope this helps!
Each student needs 3 3/4 feet of string for an art project. The art
teacher orders string by the yard. How many yards should he order for 67
students?
Answers
Answer:
83.75 yards
Step-by-step explanation:
3.75 x 67 = 251.25ft
251.25 / 3 = 83.75yards
Makayla uses 2 1/2 pounds of chocolate to make exactly 3 1/3 dozen truffles. How many dozen truffles could she make with 1 pound of chocolate? How many pounds of chocolate would she need to make 5 dozen truffles? Drag and drop the correct value into each box to make each statement true.
Answers
Answer:
Below in bold.
Step-by-step explanation:
By proportion she can make 3 1/3 * 1 / 2 1/2 truffles
= 10/3 * 1 / 5/2
= 10/3 * 2/5
= 20 / 15
= 1 1/3 dozen truffles from 1 pound chocolate.
1 1/3 dozen truffles is made from 1 pound
4/3 . . .. .. .. .. .. .. 1 pound
1 . . .. .. .. .. .. .. 3/4 ..
5 . . .. .. .. .. .. .. 3/4 * 5 = 15/4 pound of chocalote=
3 3/4 pounds chocolate.
