5. A researcher asked 100 seventh graders whether theyplay tennis or swim. Twenty-one play tennis, and30 swim. Fourteen play tennis and swim.(a) Draw a two-set Venn diagram that displays theseresults.(b) How many students play neither sport?
Answers
Problem
A researcher asked 100 seventh graders whether they
play tennis or swim. Twenty-one play tennis, and
30 swim. Fourteen play tennis and swim.
(a) Draw a two-set Venn diagram that displays these
results.
(b) How many students play neither sport?
Solution
The total of students for this case is n=100
We also know that 21 play tennis and 30 swin and 14 play both
Part a
Part b
For this case we can find the number of people who play neither sport with this formula:
100 - 16-14-7= 63
Related Questions
the side lengths of the base of a triangular prism are 8 in, 11 in, and 12in. the height of the prism is 18 in. what is the lateral surface area of the prism in square inches
Answers
Answer:
lateral surface area: 558 inch²
Explanation:
formula to find lateral surface area: ( perimeter of the base ) * ( height )
Here the perimeter of the base: ( 8 + 11 + 12 ) → 31 inchHere the height is 18 inch
using the formula:
perimeter of base * height
→ 31 * 18
→ 558 inch²
How do i find the measure?
Answers
Answer: angle A = 72 and angle C = 72
Step-by-step explanation:
Angle A and C are opposites so they have to equal each other so do the equation 3y+27=5y-3. y would come out to be 15 and so to find the angles you would replace y with 15.
A building has 6 homes per floor and 3 floors. On the first floor, there are 4 penguins per home. On the second and third floor, there are 3 penguins per home.
Which equation can we use the total number of penguins living in the building?
Answers
The equation that represent the number of penguins is (6 × 4) + (3 × 6) + (3 × 6) = p.
How to find the equation to represent a situation?A building has 6 homes per floor and 3 floors. On the first floor, there are 4 penguins per home. On the second and third floor, there are 3 penguins per home.
Therefore, the equation that can be used to find the total number of penguins living in the building is as follows:
Hence,
(6 × 4) + (3 × 6) + (3 × 6) = p
where
p = number of penguinslearn more on equation here: https://brainly.com/question/27022155
#SPJ1
If f(x) it varies directly with X and f(X)=90 when x=10, find the value of f(x) when x=7
Then round to the nearest whole number
Answers
Answer:
(5/2,9)
Step-by-step explanation:
Midpoint Formula: (((x1+x2)/2),((y1+22)/2))= (((-6+11)/2),((13+5)/2))= (5/2,9)
4t + 8 - 4t + 8
Simply the expression
Answers
Answer:
16
Step-by-step explanation:
4t + 8 - 4t + 8
4t - 4t + 8 + 8
0 + 16
=16
hope it's helpful
Someone help me please and thank you
Answers
Answer: 2a < 2b
Step-by-step explanation:
We are given a statement:
a < b and b < c, then 2a ____ 2b
We can use simple numbers that make the statement true.
Where,
a = 2
b = 3
c = 4
Now lets plug it in.
2 < 3 and 3 < 4, then 2(2) ____ 2(3)
and lets simplify:
2 < 3 and 3 < 4, then 4 ____ 6
We can see that 4 is less than 6,
so as a is less than b, 2a is less than 2b.
The only thing changing is the coefficient being multiplied by the variables a and b.
Use the drawing tool(s) to form the correct answer on the provided grid.Draw the line(s) of symmetry on the isosceles triangles.
Answers
If we have an isosceles triangle (two equal sides), the line of symmetry will be the line that passes through the common vertex of the pair of equal sides and that is perpendicular to the non-equal side.
So first, we have to identify which are the equal sides and the vertex that they have in common.
Then, we draw a perpendicular line to the other side that passes through that vertex.
We can draw the lines for this two triangles as:
Find the value of n for which the division of x^2n-1 by x+3 leave remainder of -80.
Answers
The value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80 is n = 1.
To find the value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80, we can use polynomial long division. Let's perform the division step by step:
Write the dividend and divisor in polynomial long division format:
_________________________
x + 3 │ x^(2n-1) + 0x^(2n-2) + 0x^(2n-3) + ...
Divide the leading term of the dividend (x^(2n-1)) by the leading term of the divisor (x). The result is x^(2n-1)/x = x^(2n-2).
Multiply the divisor (x + 3) by the quotient obtained in the previous step (x^(2n-2)). The result is x^(2n-2) * (x + 3) = x^(2n-1) + 3x^(2n-2).
Subtract the result obtained in step 3 from the original dividend:
x^(2n-1) + 0x^(2n-2) + 0x^(2n-3) + ... - (x^(2n-1) + 3x^(2n-2)) = -3x^(2n-2) + 0x^(2n-3) + ...
Bring down the next term of the dividend (which is 0x^(2n-3)) and repeat steps 2-4 until the remainder is constant.
Since we are given that the remainder is -80, we can set the remainder equal to -80 and solve for 'n'.
-3x^(2n-2) + 0x^(2n-3) + ... = -80
Since the remainder is constant (-80), it means that all the terms with x have been canceled out in the division process. Therefore, we can deduce that the highest power of x in the divisor (x + 3) is 0.
This implies that x^(2n-2) = 0, and for any value of 'n', the exponent 2n-2 should be equal to zero. Solving this equation:
2n-2 = 0
2n = 2
n = 1
Therefore, the value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80 is n = 1.
for such more question on remainder
https://brainly.com/question/825875
#SPJ8
How long will it take for money to double if it is invested at 7% compounded monthly?
Answers
About 10.3 years
A certain truck traveled 7,605 miles in 15 days. What is the average number of miles traveled per day?
Answers
If the certain truck traveled 7,605 miles in 15 days. The average number of miles traveled per day will be 507.
What is average?It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.
It is given that, a certain truck traveled 7,605 miles in 15 days.
The average number of miles traveled per day is obtained by dividing the total distance traveled by the total time taken as,
Suppose the average number of miles traveled per day is x,
x=76015 / 15
x=507 miles per day.
Thus, if the certain truck traveled 7,605 miles in 15 days. The average number of miles traveled per day will be 507.
Learn more about the average here:
brainly.com/question/24057012
#SPJ1
A mechanic earns $5 more per hour than his helper. On a six-hour job the two men earn a total of $114. How much does each earn per hour?
Answers
Answer:
Step-by-step explanation:
m= the amount of money the mechanic makes.
h= the amount of money the helper makes.
m=h+5
m+h=114
h+5+h=114
2h+5=114
h=54.50
m=59.5
Helper makes $9 an hour.
Mechanic makes $9.92 an hour.
The earning of helper each earn per hour is 7$ /hr.
To find earning of helper per hour.
What is arithmetic?science that deals with the addition, subtraction, multiplication, and division of numbers and also the properties and manipulation of numbers.
Given that:
let the cost /per hour of helper be x
and that of the mechanic is x+5
now for 6 hour job total earning is
6(x+x+5) = 114
=> 2x+5 = 19
so, 2x = 14 or x = 7
the earning of helper is = 7$ /hr
and earning of mechanic is = 12$/hr
So, the earning of helper each earn per hour is 7$ /hr.
Learn more about arithmetic here:
https://brainly.com/question/17120168
#SPJ5
The most significant time to be aware of the UV index on a sunny day is modelled by the function f(x) = -0.08(x-13)2 + 9 where x is the time of day on a 24-hour clock and f(x) represents the UV index. What is the UV index at 2 pm? When will the UV index be 7?
Answers
The UV index at 2 pm will be 8.92, and it will be 7 at 6 pm
A bag contains 10 green,8 blue, and 2 white balls. Naomi seclets 2 balls from the bag at random, one at a time, without replacing them. What is the probability that she selects all two white balls?
E.) 2/95
F.) 1/95
G.) 1/190
H.) 1/380
Answers
To find the probability that Naomi selects both white balls, we need to consider the total number of possible outcomes and the number of favorable outcomes.
Total number of outcomes:
Naomi selects 2 balls without replacement, so the total number of outcomes is the number of ways she can choose 2 balls out of the total number of balls in the bag. This can be calculated using combinations:
Total outcomes = C(20, 2) = (20!)/(2!(20-2)!) = (20 * 19)/(2 * 1) = 190
Number of favorable outcomes:
Naomi needs to select 2 white balls. There are 2 white balls in the bag, so the number of favorable outcomes is the number of ways she can choose 2 white balls out of the 2 white balls in the bag:
Favorable outcomes = C(2, 2) = 1
Probability = Favorable outcomes / Total outcomes = 1/190
Therefore, the correct answer is (G) 1/190.
europa why do you keep deleting my answers and questions im just answering questions honestly and also im just asking honest questions like: who is ´The Brain´ and how does he have so many coins but doesnt ever answer and the such, im just a little curious and ur ruining the fun
Answers
Answer:
hahah thats funny
Step-by-step explanation:
Do the side lengths 4, 8, and 10 form a triangle? Select the correct answer and reasoning. Question 11 options: A) Yes, because the sum of any two side lengths is greater than the third side length. B) No, because 4 + 8 is greater than 10. C) Yes, because the sum of all three side lengths is greater than 20. D) No, because the third side length is greater than the sum of the other two side lengths.
Answers
Answer:
A) Yes, because the sum of any two side lengths is greater than the third side length.
The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. In this case, 4 + 8 = 12, which is greater than 10, and the other two combinations (4 + 10 and 8 + 10) also satisfy this rule. Therefore, the given side lengths do form a triangle.
Step-by-step explanation:
What are the zeros of f(x) = x(x-7)?
A. x = 0 and x = -7 O
B. x = 0 only ооо O
c. x = 0 and x = 7
D. X = 7 only
Answers
Answer:
c. 0 and 7
Step-by-step explanation:
ab^3 - 9ab/12ab^2+ 12ab - 144a
Answers
Given
\(\frac{ab^3-9ab}{12ab^2+12ab-144a}\)Answer
\(\begin{gathered} \frac{ab^3-9ab}{12ab^2+12ab-144a} \\ \frac{ab(b^2-9)}{12a(b^2+b-12a)} \\ \frac{b(b-9)(b+9)}{12(b^2+b-12a)} \end{gathered}\)Convert the rectangular coordinates (5,−5√3) to polar form. Let r>0 and 0≤θ<2π.
Enter your answer by filling in the boxes. Enter coordinates as simplifed fractions or radicals in simplest form.
( , )
Answers
Answer:
(10, 5π/3)
Step-by-step explanation:
To convert rectangular coordinates (5, -5√3) to polar form, we can use the following formulas:
r = √(x^2 + y^2)
θ = arctan(y/x)
Substituting the given values, we get:
r = √(5^2 + (-5√3)^2) = √(25 + 75) = √100 = 10
θ = arctan((-5√3)/5) = arctan(-√3) = -π/3
Note that the value of θ is in the fourth quadrant, which corresponds to a negative angle. However, we need to express the angle θ in the range 0 ≤ θ < 2π. To do this, we can add 2π to the angle if it is negative:
θ = -π/3 + 2π = (5π/3)
Therefore, the rectangular coordinates (5, -5√3) in polar form are (10, 5π/3).
The supply and demand function of a good are p=Qs+8, p=-3Qd+80.find
A.the equilibrium price and quantity if the government imposes a fixed tax of $36 on each good.
B.find the corresponding value of the government tax revenue.
Answers
The equilibrium price and quantity if the government imposes a fixed tax of $36 on each good is $26 and the corresponding value of the government tax revenue is $648
To find the equilibrium price and quantity, we need to set Qs = Qd and solve for the price.
Qs = Qd
=> p = -3Qd + 80 = Qs + 8
=> -3Qd + 80 = Qd + 8 (substituting Qs = Qd)
=> 4Qd = 72
=> Qd = 18
=> Qs = 18
Therefore, the equilibrium price is:
p = Qs + 8 = 18 + 8 = 26
Now, if the government imposes a fixed tax of $36 on each good, the new supply function becomes:
p = Qs + 8 - 36
=> Qs = p - 28
And the demand function remains the same:
p = -3Qd + 80
Setting Qs = Qd and substituting Qs and Qd in terms of p, we get:
p - 28 = -3Qd + 80
=> -3Qd = p - 52
=> Qd = (52 - p) / 3
The government tax revenue is the product of the tax and the quantity sold, which is:
Tax revenue = tax per unit × quantity sold
=> Tax revenue = 36 ×Qs
Substituting Qs = 18, we get:
Tax revenue = 36 × 18 = $648
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ1
15 POINTS if you get iy=t right
Answers
Answer:
C.
Step-by-step explanation:
Step 1: Isolate \(V_{0}\)
Multiple t on both sides
at = \(V_{1} -V_{0}\)
Subtract \(V_{1}\) on both sides
\(at - V_{1} = V_{0}\)
Therefore the answer is C
What is the scale factor of the two triangles below ?
Answers
Answer:
none of the choices are correct
Step-by-step explanation:
it's 4/3
20/15=4.3333333333333
4/3=4.333333333333333
8/6=4.33333333333
The scale factor of the two triangles is \(\frac{3}{4}\).
What is scale factor of the two triangles?
When two triangles are similar, the reduced ratio of any corresponding sides is called the scale factor of the similar triangles.
What is similar triangle?Similar triangles are triangles that have the same shape, but their sizes may vary.
According to the given question
We have two triangles NGK and ALH
In which
NG = 15, GK = 6, NK = 3
And, AL = 20, LH = 8 and AH = 4
Since, we have to find the scale factor of these two triangles so the two triangles must be similar.
As, ΔNGK is similar to ΔALH
⇒ \(\frac{NG}{AL} = \frac{GK}{LH} = \frac{NK}{AH}\)
⇒ \(\frac{15}{20} = \frac{6}{8} =\frac{3}{4}\)
⇒ \(\frac{3}{4} = \frac{3}{4} =\frac{3}{4}\)
Hence, the scale factor of the two triangles is \(\frac{3}{4}\).
Learn more about scale factor here:
https://brainly.com/question/22312172
#SPJ2
Is the data Jamaya collected a random sample if the population is books from her entire household? Why or why not? *Remember that Jamaya picked 15 books from her book shelf in her bedroom.
Answers
Using sampling concepts, it is found that it is not a random sample, as it considers only the books in her bedroom, hence books from other people in the household are likely to not be considered.
What is sampling?It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which has to involve all groups in the population.
In this problem, a random sample should involve the books of all people in the household, not only Jamaya's. Hence, it is not a random sample, as it considers only the books in her bedroom, hence books from other people in the household are likely to not be considered.
More can be learned about sampling concepts at https://brainly.com/question/25122507
Question 3. Instructions are below for each part
Answers
Since then, it has spread to other rivers, colonized them, clogged the water intake pipes, and competed with local species for food. Zebra mussels are the method for removing a lot of plankton from the water column.
Here, we have,
The Caspian Sea in Asia is where zebra mussels, or Driessen polymorph, are found naturally.
They arrived in the Great Lakes region in the late 1980s via ballast water from a transatlantic ship.
The Great Lakes, Mississippi, Tennessee, Hudson, and Ohio river basins were all overrun by these mussels within ten years.
The lake's brilliant blue hue is a result of Tahoe's clean air and water.
There is more to this phenomenon than just the fact that Lake Tahoe's surface reflects the sky, which contributes to its blue color.
Learn more about lake here-
brainly.com/question/24386402
#SPJ1
complete question:
As you respond to Part A, Part B, and Part C, follow the directions below.
Address all of the instructions in each prompt.
Use evidence from the information provided and your own knowledge of science to support your responses.
Part A
Describe one way scientists near Lake Tahoe can detect if the lake has been impacted by zebra mussels.
Patrick has $5 saved he will save an additional $1 each week which expression represents the amount of money Patrick will have saved after W weeks
Answers
Answer:
5+1w
Step-by-step explanation:
1. Which is larger 7.2 x 10 -4 or 0072? 7.2 x 10^4
Answers
Answer:
7.2 is larger than 72×10-4 and this is also larger than 00.72
Find the inverse of the function using complete sentence
Answers
PLEASE HELP!!
Last year Springfield Middle School had 620 students. This year, it has 559 students. To the nearest tenth, what is the percent decrease? Type your answer in the box with the percent symbol
Answers
The percent decrease in the number of students is 9.8%
To the nearest tenth, what is the percent decrease?First, we know that the number of students is 620, this will be the 100% in our calculations, so we can write the relation:
620 = 100%.
The number of students now is 559, and this is represented by a percentage x which we want to find, so now we can write the relation:
559 = x
Now we use the two relations:
559 = x
620 = 100%.
Taking the quotient between them we get:
559/620 = x/100%
And solving that for x, we get:
x = (559/620)*100% = 90.16%
The difference in the percentages gives:
100% - 90.16% = 9.84%
Rounding to the nearest tenth, we get 9.8%.
In this way, we conclude that the percent decrease in the number of students is 9.8%
Learn more about percentages:
https://brainly.com/question/843074
#SPJ1
What type of number is
-v16?
Answers
Answer:
A, B, C
It is a rational number, whole number, integer.
Step-by-step explanation:
\( - \sqrt{16} \\ = - 4\)
An empty bathtub is filled at a constant rate of 8 gallons per minute. The bathtub will hold 36
gallons of water when full. The volume. V. of water in the bathtub is a function of t. the time
in minutes.
Which is the best description for the domain of the function V?
Answers
Answer:
0 ≤ t ≤ 4.5.
Step-by-step explanation:
Since the volume of the tub, V is increasing at a rate of 8 gallons per minute, the volume of the bathtub at any time, t is V = 8t.
Now, to find the domain of the function, V, we know that the minimum value for V is zero and the maximum value is 36. Now, at V = 0,
V = 8t
0 = 8t
t = 0 and at V = 36 gallons,
V = 8t
36 = 8t
t = 36/8
t = 4.5 minutes
Since 0 ≤ V ≤ 36, 0 ≤ t ≤ 4.5.
So, the domain of the function V is 0 ≤ t ≤ 4.5.
Can you look over my work my family is sleeping
Answers
Hi there! I'd be happy to look at your work. However, I see no work typed out nor attached, so I have nothing to look at
If you would kindly comment or message me what you need, I would be happy to help!
Have a wonderful day! <3
Answer:
you didnt post anything fam
Step-by-step explanation: