In a survey 200 people were polled at a local shopping center about spending free time playing sports, watching a movie, or reading a book. The relative frequency table below displays the results.
a. How many males surveyed preferred playing sports?
b. How many people surveyed preferred to read a book?
c. How many females were surveyed?
Answers
There were total 2000 people in the survey.
We can multiply relative frequency of any particular category with the total number of people to find the answer for each part.
Part A: How many males surveyed preferred playing sports?
Total Relative frequencies of Males who preferred playing sports = 0.30
Number of Males preferred playing sports = 0.30 x 2000 = 600.
Part B: How many people surveyed preferred to read a book?
Total Relative frequencies of people who preferred reading book = 0.10 + 0.15 = 0.25
Number of people preferred reading book = 0.25 x 2000 = 500.
Part C: How many females were surveyed?
Total Relative frequencies of Females = 0.15 + 0.05 + 0.15 = 0.35
Number of Females surveyed = 0.35 x 2000 = 700.
Related Questions
suppose linda had 2/3 of a yard of fabric and told Sandra that she used 3/4 of a yard. Sandra says this is not possible. Do you agree? Explain the answer
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What is the formula for a circle that has a center at (-1,4) and goes through the point (-4,0)?
Answers
To find r^2 we substitute for the point (-4,0):-
r^2 = (-4+1)^2 + (0-4)^2 = 9 + 16 = 25
r^2 = 25 so the answer is:-
(x + 1)^2 + (y - 4)^2 = 25
the function ........
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Match the system of the equation to the correct description of its solutions
10x + 4y = 6
10x - 3y = 7
1. Single Solution
2. No Solution
3. Infinite Solution
Answers
They have different slopes and must therefore have 1 solution.
8(t+2)-3(t-4)=6(t-7)+8 i dont understand this is 5.111111 correct?
Answers
To solve this equation, first apply the Distributive Property. The Distributive Property is defined as a(b + c) = ab + ac. We'll need to apply it three times for this equation.
8(t + 2) => 8t + 16
-3(t - 4) => -3t + 12
6(t - 7) => 6t - 42
This gives us
8(t + 2) - 3(t - 4) = 6(t - 7) + 8
8t + 16 - 3t + 12 = 6t - 42 + 8
Next, combine like terms (constants with constants and variable terms with variable terms).
8t + 16 - 3t + 12 = 6t - 42 + 8
5t + 28 = 6t - 34
Now we need to get all constants on one side and all variable terms on the other side. Begin doing so by first subtracting 28 from both sides.
5t + 28 = 6t - 34
5t = 6t - 62
Subtract 6t from both sides.
5t = 6t - 62
-t = -62
Divide both sides by -1.
t = 62
Answer:
t = 62
Darren is finding the equation in the form y=mx+b for a trend line that passes through the points (2, 18) and (–3, 8). Which value should he use as b in his equation?
Answers
= -10/-5
= 2
y = mx + b , at point ( -3,8 )
8 = 2(-3) + b
8 = - 6 + b
b = 14
we cannot simply take one of the y coordinate as value of b because b is the interception of straight line,not a point
B - Y-intercept
First, let's write out the equation by finding the slope
[tex]y = mx + b [/tex]
[tex] \frac{8-18}{-3-2} = \frac{-10}{-5} = 2[/tex]
Our slope is 2. Let's plug this in
[tex]y = 2x + b[/tex]
Now let's find the y-intercept. Plug one of the x and y values into the equation. I'll use the ones for (2, 18) since they're positive.
[tex]18 = 2(2) + b 18 = 4 + b 18 - 4 = 4 - 4 + b 14 = b [/tex]
He should use the number 14 as the y-intercept. Here's what his equation will look like.
[tex]y = 2x + 14[/tex]
Hope I helped! :3
system of equations
y=2x-3
x+y=18
Answers
+1x +1x
3x-3=18
+3 +3
3x=21
divide both sides by 3
x=7
HEEEEEEEEEEEEELLLLLLLLLLPPPPPPPPPP
Fraction 4 over 5n = Fraction 2 over 3. n = ___?
A. Fraction 2 over 15
B. Fraction 5 over 6
C. 1Fraction 1 over 5
D. 1Fraction 7 over 15
Answers
The correct option is (b) 5/6.
What is fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.Given ,
[tex]\frac{4}{5} n = \frac{2}{3} \\[/tex]
now do simply cross multiplication both sides,
4n × 3 = 2 × 5
4n = 10/3
n = 10/3 ×4
n = 10/12 ⇒ 5/6
Therefore, value of n is 5/6.
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simplify the expression. Write your answer using only positive exponents:7^6 x 7 x 7^-4
Answers
[tex]7^6*7*7^{-4}[/tex]
7 can also be written as [tex]7^1[/tex].
[tex]7^6*7^1*7^{-4} = 7 ^{(6+1-4)} = 7^3[/tex]
The answer would be 7³ if you kept the exponent, or 343 if you simplified further.
To simplify the expression 7^6 x 7 x 7^-4 using positive exponents, we can apply the rule of multiplying powers with the same base.
Explanation:To simplify the expression 7^6 x 7 x 7^-4 using positive exponents, we can apply the rule of multiplying powers with the same base. First, let's simplify 7^6 x 7. This can be rewritten as 7^(6+1) or 7^7. Next, let's simplify 7^7 x 7^-4. Applying the rule of multiplying powers with the same base, we get 7^(7-4) or 7^3. Therefore, the simplified expression is 7^3.
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The mayor of Gilbert, AZ, randomly selects 300 of its residents for a survey while the mayor of Camp Verde, AZ, randomly selects 100 of its residents and asks them the same question. Both surveys show that 15% of the residents of each town want Arizona to start using daylight savings like most of the rest of the country. If the confidence level for both surveys is 95% (z*-value 1.96), then which statement is true? The margin of error for the Camp Verde survey will be the size of the margin of error for the Gilbert survey. The margin of error for the Camp Verde survey will be between and the size of the margin of error for the Gilbert survey. The margin of error for the Camp Verde survey will be three times greater than the margin of error for the Gilbert survey. The margin of error for the Camp Verde survey will be between one and three times as great as the margin of error for the Gilbert survey. Mark this and return
Answers
Answer:
The margin of error for the Camp Verde survey will be between one and three times as great as the margin of error for the Gilbert survey.
Step-by-step explanation:
The statement which is true, the margin of error for the Camp Verde survey will be between and the size of the margin of error for the Gilbert survey.
What is margin of error?The probability or the chances of error while choosing or calculating a sample in a survey is called the margin of error.
[tex]MOE_\gamma=z_{\gamma}\dfrac{\sigma ^2}{n}[/tex]
Here, γ is the confidence interval, σ is standard deviation and n is the sample.
The mayor of Gilbert, AZ, randomly selects 300 of its residents for a survey while the mayor of Camp Verde, AZ, randomly selects 100 of its residents and asks them the same question. Thus,
[tex]n_1=300\\n_2=100[/tex]
Both surveys show that 15% of the residents of each town want Arizona to start using daylight savings like most of the rest of the country.
The confidence level for both surveys is 95% (z*-value 1.96). Thus, comparing the MOE of both the data as,
[tex]\dfrac{MOE_2}{MOE_1}=\dfrac{z_{\gamma}\sqrt{\dfrac{\sigma ^2}{n_2}}}{z_{\gamma}\sqrt{\dfrac{\sigma ^2}{n_1}}}\\\\\dfrac{MOE_2}{MOE_1}=\dfrac{\sqrt{\dfrac{1}{100}}}{\sqrt{\dfrac{1}{300}}}\\\dfrac{MOE_2}{MOE_1}=1.73[/tex]
Thus, the statement which is true, the margin of error for the Camp Verde survey will be between and the size of the margin of error for the Gilbert survey.
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Hey can someone help me with #17
Answers
when you start plugging in 360 by 36 gives you 10
360 by 40 gives you 9
360 by 45 gives you 8
360 by 54 gives you 6.666 repeating you know that it isn't possible
you cannot have a repeating number of sides as an angle measure
that's how you get that answer
can you help with this question
Answers
2nd blank - more girls preferred dogs over cats
3rd blank - there does appear to be an association
I hope this helped.
19.6x24 i am confusion
Answers
which gives you 470.4m.
The area is 470.4
To find the perimeter, you have to add the lengths of all four sides.
which is 87.2, i believe
(The answer I have marked was random) Please tell me the answer and explain. Thanks.
Answers
[tex] \frac{given \: number}{total \: number} \times 100[/tex]
Theorically probability will be equal for all cases, that means each case will have a 25% chance
Now we will find the probability experimentally
Given number = 28
Total number = 100
28/100 × 100 = 28%
Since Theorically it is 25 and experimentally it is 28, The experimental probability is 3 % higher
Therefore the answer is the first option (the one u marked randomly)
Hope I helped... Please give me Brainlest answer
From midnight to 6:00 am, the temperature rose 8*C. At 6:00 am, the temperature was -20*C. What was the tempeature at midnight?
Answers
a rancher wants to use 400 feet of fencing to enclose a rectangular area of 6400 square feet. what dimensions should the rectangle have ?
Answers
a=lw
6400 ft²=lw
2(l+w)=p
2(l+w)=400 ft
l+w= 200 ft
l=200ft-w
substitute it instead of l to lw=6400ft²
(200-w)w=6400
200w-w²=6400
w²-200w+6400=0
(w-160)(w-40)=0
w = 160ft
w = 40ft
l=200-w
l=200-160 = 40ft
l= 200-40 =160ft
The rancher should build a square with dimensions of 80 feet by 80 feet to obtain an area of 6400 square feet with 400 feet of fencing.
Explanation:In this Mathematics task, the rancher is looking to build a rectangular area with a fixed amount of fencing. The information provided is:
Length of Fencing = 400 feet Area = 6400 square feet
Let l represent the length and w represent the width of the rectangle. Now, we know that a rectangle's perimeter is given by the formula, 2(l + w), and its area by l*w. Given the Area = 6400 and Length of Fencing = 400, we can set up the following two equations:
lw = 6400 (Area) 2(l + w) = 400 (Perimeter)
Solving these two equations simultaneously, we get l = 80 feet and w = 80 feet. So, the rectangle is actually a square, with equal length and width of 80 feet.
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Josh has scores of 16,19 and 23 on three quizzes what score must he get on the next quiz to have an average of at least 20?
Answers
Let the score be x
average=sum of observations/no. of observations
20=16+19+23+x/4
20=58+x/4
20*4=58+x
80=58+x
80-58=x
x=80-58
x=22
To get at least 20, he should at least score 22 in his next quiz.
Hope this helps you.
The sum of the numbers should be 80.
16+19=35+23=58
80-58=22
The answer is 22.
If 21% of the customers in a restaurant order fish, what is the probability that the next 3 costumers in a row will order fish?
Answers
then the probability of the next 3 customers in a row will order fish will be given by:
P(fish)=0.21×0.21×0.21=0.009261
Answer: 0.009261
Can someone please help me on number 8. Explain how you got the answer please .
Answers
The two labeled angles are alternate exterior which means they are congruent.
Set the equal to each other and solve for x.
3x = 4x - 24
3x - 4x = -24
-x = -24
x = -24/-1
x = 24
Now use 24 for x and find the value of angle RST.
RST = 3(24)
RST = 72
The answer is D.
Hope this helps :)
If you flip a coin and roll a 5-sided die, what is the probability that you will flip a tails and roll a 2?
Answers
[tex] |\Omega|=2\cdot5=10\\
|A|=1\\\\
P(A)=\dfrac{1}{10}=10\% [/tex]
Which statement is true about two angles that are complementary?
A. The angles share a common ray.
B. The sum of the measures of the two angles is 90°.
C. The angles are opposite each other.
D. The sum of the measures of the two angles is 180°.
ITS B!!!
Answers
ANSWER: The answer is (B) the sum of the measures of the two angles is 90°.
Hope this helps! :)
Answer:
Step-by-step explanation:
the answer is b hope this helps
A ___ expense is a cost that may happen each month, but one who's total amount may change from month to month. A) fixed B) variable C) flexible D) discretionary
Answers
Answer:
B. Variable
Step-by-step explanation:
A Variable expense is a type of expense that may vary from month to month. This type of expense includes things like electricity, groceries, clothing, and gas. When it comes to the groceries, it is considered to be a variable expense only if the household need the items that are purchased.
Answer:
B) variable
A variable expense is a cost that may happen each month, but one who's total amount may change from month to month.
simplify4xy-2x+4x-8xy
Answers
whats 5 plus 4 ..........
Answers
Imagine you have 5 apples and then you add 4 more on,
5 + 1 + 1 + 1 + 1 = 9
Hope this helps.
||||| + |||| = |||||||||
Delilah does 184184184 jumping jacks in 444 minutes. She does her jumping jacks at a constant rate. How many jumping jacks can Delilah do per minute?
Answers
If she did 184 jumping jacks in 4 minutes that means she did 46 jumping jacks per minute.
Answer:
46 jumps per minute.
Step-by-step explanation:
We have been given that Delilah does 184 jumping jacks in 4 minutes.
Since Delilah is jumping jacks at a constant rate, so the number of jumps per minute would be 184 divided by 4.
[tex]\text{Number of jumps per minute}=\frac{\text{184 jumps}}{\text{4 minutes}}[/tex]
[tex]\text{Number of jumps per minute}=\frac{\text{46 jumps}}{\text{minute}}[/tex]
Therefore, Delilah is jumping at a rate of 46 jumps per minute.
what is the value of g divide by 4,if g=20?
a.4
b.5
c.6
d.7
Answers
Answer:
Plug it in:
20/4
Simplify:
= 5
so the answer is B.
Hope this helps!
ANYONE???
The meteorologist recorded the amount of rainfall, in centimeters, at 10 different locations during 1 day and then arranged the amounts from smallest to largest.
The amounts were 2, 2, 2, 2, 3, 3, 3, 4, 4, and 5 cm. The mean of these measurements is 3 cm.
What is the mean absolute deviation? 0.0 cm 0.8 cm 1.0 cm 2.5 cm
Answers
I hope this helps !
A wooden peg game in the shape of a triangular prism is 2 inches tall. The triangle has a base of 12 inches and a height of 9 inches. Find the volume of the game.
Answers
Volume=(base area)×height
base area=1/2×base×height
=1/2×12×9
=54 in²
Therefore the volume will be:
Volume=54×2=108 in³
The volume of the wooden peg game in the shape of a triangular prism is calculated by finding the area of the triangular base and multiplying by the prism's height. The area of the triangle is 54 square inches, and the volume of the game is 108 cubic inches.
To find the volume of the wooden peg game, we will use the formula for the volume of a prism, which is the area of the base times the height of the prism. The base of the prism is a triangle, so first, we need to find the area of the triangular base. The area of a triangle is calculated by multiplying the base by the height and then dividing by 2.
First, we calculate the area of the triangle base:
Area of triangle base = (Base of triangle x Height of triangle) / 2Area of triangle base = (12 inches x 9 inches) / 2Area of triangle base = 108 inches² / 2Area of triangle base = 54 inches²Next, we multiply the area of the base by the height of the prism to find the volume:
Volume of prism = Area of base x Height of prismVolume of prism = 54 inches² x 2 inchesVolume of prism = 108 inches³Therefore, the volume of the wooden peg game is 108 cubic inches.
The sum of three numbers is 78. the second number is two times greater than the first. the third number is 12 more than the first...... find each number
Answers
16.5 + 33 + 28.5 = 78
16.5 x 2 = 33
16.5 + 12 = 28.5
Yeah
Which shows a correct order to solve this story problem? Lucy bought some muffins for her sports team. She bought 1 box of 12 blueberry muffins for $6.60 and 1 box of 6 cranberry muffins for $3.36. How much did Lucy pay for 1 cranberry and 1 blueberry muffin? A. Step 1: Calculate the price of 1 blueberry muffin. Step 2: Calculate the price of 1 cranberry muffin. Step 3: Multiply the 2 numbers together. B. Step 1: Add $6.60 to the price of a box of cranberry muffins. Step 2: Calculate the price of 1 blueberry muffin. Step 3: Multiply the 2 numbers together. C. Step 1: Calculate the price of 1 blueberry muffin. Step 2: Calculate the price of 1 cranberry muffin. Step 3: Add the 2 numbers together. D. Step 1: Add $3.36 to the price of a box of blueberry muffins. Step 2: Calculate the price of 1 cranberry muffin. Step 3: Multiply the 2 numbers together.