A local television station sends out questionnaires to determine if viewers would rather see a documentary, an interview show, or reruns of a game show. There were 300 responses with the following results:
90 were interested in a interview and documentary, but not reruns
12 were interested in an interview show and reruns, but not a documentary
42 were interested in reruns but not an interview show
72 were interested in an interview show but not a documentary
30 were interested in a documentary and reruns
18 were interested in an interview show and reruns
24 were interested in none of the three
Required:
How many are interested in exactly one kind of show?
Answers
Answer:
144
Step-by-step explanation:
The best way to attempt this question is to solve it using a Venn diagram
From the given information, Let;
D = documentaries
I = interview shows
G = game show reruns
From the images attached below, we will see how the Venn diagrams are being drawn step by step and calculated.
i.e
= 300 - (90 + 60 + 24 + 6 + 12 + 18 + 24)
= 300 - 234
= 66
∴
No of those interested in exactly one kind of show = 66 + 60 + 18
= 144
∴[tex]\text{144 are interested in exactly one kind of show.}[/tex]
Related Questions
please help !!!! asap
Answers
Answer:
y = 1
Step-by-step explanation:
-3y + 14 + y = 12
-3y + y + 14 = 12
-2y + 14 = 12
-2y + 14 - 14 = 12 - 14
-2y = -2
-2y/-2 = -2/-2
y = 1
Answer:
y=1
Step-by-step explanation:
Hey There!
So to solve this type of problem we use inverse operations
-3y+14+y=12
step 1 subtract 14 from each side
14-14
12-14=-2
now we have
-3y+y=-2
step 2 combine like terms
-3y+y=-2y
now we have -2y=-2
step 3 divide each side by -2
-2/-2=1
so we can conclude that y=1
There are 420 students at Virginia Middle School. The ratio of girls to boys is 4 to 3. HELPPPPPPPP
Answers
Answer:
60 more girls are there than boys at Virginia Middle School.Movie Theaters There are two movie theaters in a town. A student wants to compare the amount of
money each theater makes over a period of days. The following box plots show the data for the
amount of money each theater makes over a period of days. Compare the median of each box plot.
Click here to see the box plot for movie theater 1.
Click here to see the box plot for movie theater 2.
Vhich of the following is the best description of the medians?
A. The median for Movie Theater 1 is greater.
B. The median for Movie Theater 2 is greater.
C. The medians are about the same.
Answers
The medians are about the same.
Option C is the correct answer.
What is a median?It is the middle value of the given set of numbers after arranging the given set of numbers in order.
We have,
Movie theater 1.
From the box plot given,
The median is 995.
Movie theater 2.
From the box plot given,
The median is 995.
Thus,
The median in both the box plot is the same.
Learn more about the median here:
https://brainly.com/question/28060453
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In 1906, San Francisco felt the impact of an earthquake with a magnitude of 7.8.
Many pundits claim that the worst is yet to come, with an earthquake 200,010 times
as intense as the 1906 earthquake ready to hit San Francisco. If the pundits ability
to predict such earthquakes were correct, what would be the magnitude of their
claimed earthquake? Round your answer to the nearest tenth.
Answers
Answer:
Step-by-step explanation:
Kobe drove 240 miles in 6 hours. To find the unit rate, you should determine how many miles Kobe drove
in hour(s).
Answers
Answer:
40 miles per hour
Step-by-step explanation:
Answer:
40 mph
Step-by-step explanation:
240 / 6 = 40
How is a decimal changed into a percent?
Divide by 100 and add a percent sign.
Move the decimal two places to the right, multiply by 100 and then add a percent sign.
Move the decimal two places to the right and add a percent sign.
Move the decimal two places to the left and add a percent sign.
Answers
Answer:
Move the decimal two places to the right and add a percent sign.
Step-by-step explanation:
.15= 15%
1.25= 125%
.06= 6.0, or 6%
Answer:
To convert a percent to a decimal, we move the decimal point 2 places to the left, just as we did when we were dividing by 100.
Step-by-step explanation:
9−z9, minus, z when z = 8z=8z, equals, 8.
Answers
A sine function has the following key features: Period = 4pi Amplitude = 2 Midline: y = 3 y-intercept: (0, 3) The function is a reflection of its parent function over the x-axis.
did I get this right?
Answers
The sine function is:
f(x) = -2*sin(x/2) + 3.
So you got it almost correctly, you only forgot to apply the reflection.
How to get the sine function?We start with the general sine function:
[tex]a*g(w*x + p) +m[/tex]
where g(x) = sin(x)
a is the amplitude, which we know is equal to 2.w depends on the period.M is the midline, which we know is equal to 3.p is the phase shift, because the y-intercept is (0, 3) we know that:f(0) = 2*sin(w*0 + p) + 3 = 3
= 2*sin(p) + 3 = 3
Then we must have p = 0, so there is no phase shift.
We also know that we have a reflection over the x-axis of the parent sine function, we would actually have:
f(x) = 2*-sin(wx) + 3
Finally, to get the value of k we know that the period of the general sine function is 2*pi, while here is 4*pi, then we must have w = 1/2 to get the correspondent correction, so the function is:
f(x) = -2*sin(x/2) + 3.
This is almost the same thing that you got in the graph, where you only forgot to apply the reflection over the x-axis of the parent function.
If you want to learn more about sinusoidal functions, you can read:
https://brainly.com/question/18055768
Answer:
I know this is a year late, but I took this test it was quite challenging so here is my answer for you I took a picture of the graph because it's hard to graph without any reference pictures
hope this helps
What value of "p" will the pair of equations
3x + 4y = 12 and px + 12y = 30 NOT have a
unique solution? (Hint: find the slopes
and equate]
Answers
Answer:
9
Step-by-step explanation:
Slope is the same as coefficient of x
From the equation
3x+4y=12
Y=(-3/4)x+3
The slope for this eqn is -3/4
For this equation
Px+12y=30
12y=-p+30
Y= (-p/12)x +30/12
The slope is -p/12
To get p
-p/12=-3/4
P=9
The value of "p" is 9 for the pair equations [tex]3x + 4y = 12[/tex], [tex]px + 12y = 30[/tex] which do not have a unique solution. The condition for the pair of equations that do not have a unique solution is that their slopes are equal i.e., [tex]m_1=m_2[/tex].
Solutions to a system of linear equationsA system of linear equations can have,
no solutionexactly one solution or unique solutioninfinitely many solutionsConditions:A system of linear equations is said to have no solution if and only if their slopes are equal and y-intercepts are not equal i.e., [tex]m_1=m_2[/tex] and [tex]c_1\neq c_2[/tex]A system of linear equations is said to have a unique solution or exactly one solution if and only if their slopes must not be equal i.e., [tex]m_1\neq m_2[/tex]A system of linear equations is said to have infinitely many solutions if and only if their slopes, as well as y-intercepts, are equal i.e., [tex]m_1=m_2[/tex] and [tex]c_1=c_2[/tex]Calculating the "p" value for the given pair of equations:Given pair of equations
[tex]3x + 4y = 12\\px + 12y = 30[/tex]
Representing them in the slope-intercept form:
[tex]y=-\frac{3}{4} x+3\\y=-\frac{p}{12}x+\frac{5}{2}[/tex]
As we know that the slope of an equation in the form [tex]y=mx+c[/tex] is m
So, for the two equations slopes are,
[tex]m_1=-\frac{3}{4}[/tex] and
[tex]m_2=-\frac{p}{12}[/tex]
Since it is given that there is no unique solution for the given pair of equations we can write,
[tex]m_1=m_2[/tex]
⇒[tex]-\frac{3}{4} =-\frac{p}{12}[/tex]
⇒[tex]p=9[/tex]
Therefore, the value of "p" when the pair of equations [tex]3x + 4y = 12[/tex] and [tex]px + 12y = 30[/tex] do not have a unique solution is 9.
Learn more about linear equations here:
https://brainly.com/question/7563683
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If p represents a number, which expression represents "p divided by 7, increased by 8"?
Answers
Answer: p/7 + 8
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
John bought a video game that was 30% off. The game was originally $70. What was the sale price of the game?
Answers
Answer:
49 Dollars
Step-by-step explanation:
If you subtract 70- 30%, you get 49 dollars
Hope this helps =)
The equation for velocity is v = distance time . Evaluate the velocity of an object that travels 15 meters in 2.5 seconds.
Answers
Answer:
What is acceleration?
Imagine you are playing golf, and you’ve just set up the golf ball on the tee. You test your grip, take a few practice swings, and peer into the distance at the flag pole marking the first hole for the course. Your wise golf ball guru (who happens to also teach physics) tells you to “Be the ball, young grasshopper.” So you close your eyes and picture the distance the ball must travel. “Yes, young earthworm”, your sensei says, “that distance you see is the displacement you must achieve, displacement is the change in position from one place to another.”
Step-by-step explanation:
Please no links just the letter answer and explanation please
Answers
Answer:
-6.5 degrees/km
Step-by-step explanation:
I couldn't rlly find the answer myself, but this quizzis link has it. Question 7 on the quizzis btw https://quizizz.com/admin/quiz/5cbe6de57d6ff2001bf22fc3/2019-algebra-i-staar-review-day-2
Which expression is equivalent to the expression 6h + 2?
(2 + 4h) + 2
(2 + 4h) + h
(1 + 5h) + 2
(2 + 5h) + h
Answers
Answer:
D
Step-by-step explanation:
Find the positive of x that makes the equation true.
x^2 = 225
Answers
Answer:
x = 15
Step-by-step explanation:
15 * 15 = 225
Answer:
X = 15
Step-by-step explanation:
This is because if you square 15, you get 225.
cara played a card game using a deck of 52 cards after she dealt the same number of cards to 4 players she had 24 cards left over how many cards did each player get
Answers
Answer:
7Step-by-step explanation:
Assume each player get x cards. Total number of cards now is 4x+24=52.
Therefore, 4x=52-24=28.
Then, x= 28/4=7.
What is the common difference between successive terms in the sequence? 0.36, 0.26, 0.16, 0.06, -0.04, -0.14,
Answers
Answer:
The common difference between successive terms in the sequence is -0.1
Step-by-step explanation:
Common difference in an arithmetic sequence:
In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.
0.36, 0.26, 0.16, 0.06, -0.04, -0.14
Subtraction of each term by its predecessor. So
0.26 - 0.36 = 0.16 - 0.26 = -0.1
The common difference between successive terms in the sequence is -0.1
en la pastelería de Luisa le regalan a una casa hogar 18 galletas dé cada 60 que se hornean a la semana si la semana pasada hornearon 720 galletas Cuántas regalaron
Answers
Answer:
La pastelería de Luisa regaló 216 galletas a la casa hogar.
Step-by-step explanation:
De acuerdo con el enunciado, la pastelería de Luisa regalan 18 galletas a una casa hogar por cada 60 galletas horneadas en una semana. El total de galletas regaladas por hornear 720 galletas se determina por la siguiente Regla de Tres Simple:
[tex]x = \frac{18}{60}\times 720[/tex]
[tex]x = 216[/tex]
La pastelería de Luisa regaló 216 galletas a la casa hogar.
Connor’s temperature was 0.7 degrees higher last night than it was this morning. His temperature this morning was 101.2 degrees. What was his temperature last night?
Answers
Answer:
101.9 degrees
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Let's define what we have:
Conner's morning temperature: 101.2 degrees
Conner's last night temperature: morning temperature + 0.7 degrees
We know that Conner's last night temperature is addition because it was higher (key word) than the morning temperature.
Therefore, we simply add the values together to get our answer:
101.2 + 0.7 = 101.9 degrees
How many joules of gravitational potential energy does a 15 kg object have when it is lifted from the floor and held 0.6 meters above the ground?
Answers
Answer:
88.29joules
Step-by-step explanation:
mgh=gravitational potential energy
(15kg)(9.81)(0.6)= 88.29joules
A toy rocket is launched from the roof of a building. The graph below shows the height of the rocket x seconds after it was launched. What is the average rate of change of the height of the rocket during its descent?
A. -32 ft/sec
B. -24 ft/sec
C. -64/3 ft/sec
D. -16 ft/sec
Answers
Using it's concept, it is found that the average rate of change of the height of the rocket during its descent is given by:
D. -16 ft/sec
What is the average rate of change of a function?It is given by the change in the output divided by the change in the input.
In this problem, the input changed from 0 s to 3 s, while the output changed from 48 ft to 0 ft, hence:
r = -48 ft/3 s = -16 ft/s
Hence option D is correct.
More can be learned about the average rate of change at https://brainly.com/question/24313700
How many different 12 member juries can be chosen from a pool of 20 people?
Answers
Answer:
1,007,760
Step-by-step explanation:
This is a question that bothers on selection
Using the combination formula
nCr = n!/(n-r)!r!
20C12 = 20!/(20-12)!12!
20C12 = 20!/8!12!
20C12 = 20*19*18*17*16*15*14*13*12!/8!12!
20C12 = 20*19*18*17*16*15*14*13/8!
20C12 = 20*19*18*17*16*15*14*13/8*7*6*5*4*3*2
20C12 = 5,079,110,400/5040
20C12 = 1,007,760
Hence this can be done 1,007,760 different ways
PLEASE HELP MEEEEE ASAP 100 POINTS
Answers
Answer:
3. D 4. B
Step-by-step explanation:
3. e^2 = g^2 + f^2, answer is d
4. Let a = 3, b = 4, c = 5
2c = 10
2b = 8
2a = 6
10^2 = 8^2 + 6^2
answer is b
3. The Pythagorean theorem states the hypotenuse squared is equal to each side squared added to each other.
The answer is D. E^2 = f^2 + g^2
4.
To keep the proportion you could multiply the sides by the same numbers . The answer would be 2A, 2b, 2c
2y^2 + 4y^2 + 8 + 3 helpp
Answers
Answer:
11
Step-by-step explanation:
2y + 4y = 6y = 6y + 8 + 3 Add the numbers: 8 + 3 = 11 hope this helps ;) ITS A ME LUIGI ON THE XBOX ONE WAAAAAAAAAAAAAAAAAAAAAAAAHHOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
What is one thing that you found interesting about future value and present value for compound interest? 100 words ^
Answers
Answer:
Compound interest is that which, once generated, is added to the capital, in order to expand the calculation base on which, in turn, new interests will be generated. Thus, in short, if the interest is, for example, 5 percent, said interest will be added to the initial capital, with which that 5% generated will be increasing, since it will be calculated on an increasingly large basis.
Compound interest is very important for financial investments, as it maximizes the results of said investments, even more so when compared to simple interest, in which the interest generated is not added to the initial capital.
Use the number line to answer the questions that follow
Answers
Answer:
A. make a point on the line to the right 2 units from 0
B. the opposite of 2 isn't located at the same place as point P on the number line because the opposite of 2 is -2 and the point P is the opposite of negative 2 which would be positive 2. So the two points are not in the same place because they have different signs.
Step-by-step explanation:
hope this helps
I know the wording is a bit complicated lol <3
52.76= 52+0.7+____
i hate this app a bit
Answers
Answer:
52.76= 52+0.7+52.76
Step-by-step explanation:
RQ= x+1 QP=7 RP=2x+8 solve for RP
Answers
Answer:
RP = 8
Step-by-step explanation:
RQ + QP = RP (segment addition theorem)
(x + 1) + 7 = 2x + 8 (substitution)
Add like terms
x + 8 = 2x + 8
8 - 8 = 2x - x
0 = x
x = 0
✔️RP = (x + 1) + 7
Plug in the value of x
RP = (0 + 1) + 7
RP = 1 + 7
RP = 8
If you answer correctly you get one of those crown things
Answers
Answer:
CDBE
Step-by-step explanation:
If you add angle CD and BE together it would be CDBE
Which two prisms have the same height
Answers
Answer:
The height of prism A is 4, the height of prism B is 5, the height of prism C is 4, and the height or prism D is 2. Since 4=4, prisms A and C have the same height.
Hope this helped! If it did, please give me brainliest! It would help a lot! Thanks! :D