The results of a survey of students about whether they attended the dance are shown in the table. What is the best estimate of the probability that a randomly selected boy attended the dance?
a. 7/20
b. 7/15
c. 7/9
d. 7/8
Answers
Answer:
7/9 the answer is C
Step-by-step explanation:
Related Questions
The US government spent
$2500 billion. If 21% was
spent for Social Security, how
much was that
Answers
Answer:
If your number was 250,000,000,000
The amount of social security would be 52,000,000,000
Step-by-step explanation:
Make x the subject of this formula: c = 7x - hx
Answers
Answer:
x = c / (7 - h)
Step-by-step explanation:
c = 7x - hx
c = x(7 - h)
x = c / (7 - h)
whst will be the multiplicative inverse of
3/5 - 4/27 + 5/18
Answers
Answer:


Find the multiplicative inverse of the following
(i) -13 (ii) -13/19 (iii) 1/5 (iv) -5/8 × -3/7 (v) -1 × -2/5
(vi) -1
Solution:
The reciprocal of a given rational number is known as its multiplicative inverse. The product of a rational number and its multiplicative inverse is 1.
(i) The Multiplicative inverse of -13 is -1/13
∵ -13 × (-1/13) = 1
(ii) The Multiplicative inverse of -13/19 is -19/13
∵ -13/19 × (-19/13) = 1
(iii) The Multiplicative inverse of 1/5 is 5
∵ 1/5 × 5 = 1
(iv) The Multiplicative inverse of -5/8 × -3/7 is 56/15
∵ -5/8 × (-3/7) = 15/56 and 15/56 × 56/15 = 1
(v) The Multiplicative inverse of -1 × -2/5 is 5/2
∵ -1 × (-2/5) = 2/5 and 2/5 × 5/2 = 1
(vi) The Multiplicative inverse of -1 is -1
∵ -1 × (-1) = 1
A group of 2129 students were surveyed about the courses they were taking at their college with the following results:
921 students said they were taking History.
987 students said they were taking Dance.
1012 students said they were taking Psychology.
474 students said they were taking Dance and History.
466 students said they were taking Psychology and History.
457 students said they were taking Dance and Psychology.
235 students said they were taking all three courses.
a) How many students took Dance or didn't take Psychology?
b) How many students took Dance & Psychology or took Psychology & History?
c) How many students took Dance, Psychology, or History?
d) How many students took Dance or History, but not Psychology?
e) How many students took none of the courses?
f) How many students took Psychology and History, but not Dance?
Answers
Using the Venn sets, the amounts are given as follows:
a) 1358 students.
b) 688 students.
c) 1758 students.
d) 746 students.
e) 371 students.
f) 771 students.
What are the Venn Sets?For this problem, we consider the following sets:
Set A: students taking History.Set B: students taking Dance.Set C: Students taking Psychology.235 students said they were taking all three courses, hence:
(A ∩ B ∩ C) = 235.
457 students said they were taking Dance and Psychology, hence:
(B ∩ C) + (A ∩ B ∩ C) = 457
(B ∩ C) = 222.
466 students said they were taking Psychology and History, hence:
(A ∩ C) + (A ∩ B ∩ C) = 466
(A ∩ C) = 231.
474 students said they were taking Dance and History, hence:
(A ∩ B) + (A ∩ B ∩ C) = 474
(A ∩ B) = 239.
1012 students said they were taking Psychology, hence:
C + (A ∩ C) + (B ∩ C) + (A ∩ B ∩ C) = 1012
C + 231 + 222 + 235 = 1012
C + 688 = 1012
C = 324.
987 students said they were taking Dance, hence:
B + (A ∩ B) + (B ∩ C) + (A ∩ B ∩ C) = 987
B + 239 + 222 + 235 = 987
B + 696 = 987
B = 291.
921 students said they were taking History, hence:
A + (A ∩ B) + (A ∩ C) + (A ∩ B ∩ C) = 921
A + 239 + 231 + 235 = 921
A + 705 = 921
A = 216.
The number of students who took no courses is given as follows:
None + A + B + C + (A ∩ B) + (A ∩ C) + (B ∩ C) + (A ∩ B ∩ C) = 2129
None + 216 + 291 + 324 + 239 + 231 + 222 + 235 = 2129
None + 1758 = 2129
None = 2129 - 1758
None = 371.
For item a, the amount is:
Dance + None = 987 + 371 = 1358 students.
For item b, the amount is:
(B ∩ C) + (A ∩ B ∩ C) + (A ∩ C) = 457 + 231 = 688 students.
For item c, the amount is the total subtracted by none, hence:
2129 - 371 = 1758 students.
For item d, the amount is:
A + B + (A ∩ B) = 216 + 291 + 239 = 746 students.
For item e, the amount is of 371, as we found previously.
For item f, the amount is:
A + C + (A ∩ C) = 216 + 324 + 231 = 771 students.
More can be learned about Venn sets at brainly.com/question/24388608
#SPJ1
Which mixed number is equivalent to the improper fraction?
37
3
O A. 12
OB. 3/1/2
O C. 10
3
OD. 12/
Answers
Answer:
Mixed fractions is equivalent to improper fraction both A and C
A. 12 1/3
C. 10 7/3
A textbook store sold a combined total of 414 physics and psychology textbooks in a week. The number of physics textbooks sold was 68
more than the number of psychology textbooks sold. How many textbooks of each type were sold?
Answers
Solve for x.
8x - 2 = 3x + 5x
Answers
Answer:
x=-8
Step-by-step explanation:
8x-2=3x+5x
1. Combine Like Terms
3x+5x=8x
Now your equation looks like this:
8x-2=8x
+8x +8x
2. Move Variables to one side
Now this is your equation:
-2=16x
3. Divide to isolate "x"
16/-2
x=-8
Let me know if this helped! :)
The percent of 12th graders in a certain state who have ever used cigarettes for each of the years 2000 through 2014 can be modeled by p= -1.773t+60.442, where p is equal to the percent
and t is equal to number of years after 2000. When will the percent be less than 30 %?
The percent will be less than 30% after the year
(Round to the nearest year as needed.)
example Get more help -
Answers
The percent will be less than 30% after the year 2017
Let 'p' be the percent of 12th graders in a certain state who have ever used cigarettes for each of the years 2000 through 2014.
Let 't' be the number of years after 2000.
We have to find when the percent is less than 30%.
The function modelling the percent and the number of years through 2000 and 2014 is p= -1.773t+60.442
So first we need to find the number of years corresponding to 30%.
Substitute p = 30 in the above linear equation.
i.e., 30 = -1.773t+60.442
-1.773t = 30 - 60.442 = -30.442
Therefore, t = 30.442/1.773 = 17.17 ≈ 17 years
Since t denotes the number of years after 2000, when t = 17, the year is 2000+17 = 2017
So the percent will be less than 30% after the year 2017
Learn more about function modelling at https://brainly.com/question/24853174
#SPJ1
Estimate the sum by rounding to the nearest ten thousand. 18,789 + 19,019 = A) 40,000 B) 41,000 C) 20,000 D) none of the above
Answers
The estimation of the value is A. 40000.
How to calculate the value?Based on the information, we are to estimate the sum by rounding to the nearest ten thousand. 18,789 + 19,019.
It should be noted that 18789 to the nearest ten thousand is 20000.
Also, 19019 to the nearest ten thousand will be 20000.
Therefore, the addition will be:
= 20000 + 20000
= 40000
Learn more about estimation on:
brainly.com/question/107747
#SPJ1
When the admission price for a baseball game was $5 per ticket, 35,000 tickets were sold. When the price was raised to $6, only 30,000 tickets were sold. Assume that the demand function is linear and that the variable and fixed costs for the ball park owners are $0.10 and $95,000 respectively.
(a)
Find the profit P as a function of x, the number of tickets sold
Answers
The profit function is P(x) = ( - x² / 5000 ) + 11.9x - 95000.
35,000 baseball game tickets were sold at $5 per ticket.
When the price is raised to $6, then 30,000 tickets were sold.
The variable and fixed costs for the ballpark owners are $0.10 and $95,000 respectively.
Let's say x is the number of tickets sold, and P is the profit.
Then,
P = ax + b
At P = 5,
5 = (35000)a + b ---------(1)
At P = 6,
6 = (30000)a + b --------(2)
Subtracting (2) from (1),
5 - 6 = (35000)a + b - (30000)a - b
- 1 = 5000(a)
a = ( - 1/5000)
So if a = ( - 1/5000),
Then,
5 = (35000)a + b
5 = (35000)( - 1 / 5000 ) + b
5 = - 7 + b
b = 12
Therefore,
P(x) = ( - x /5000) + 12
Now, the profit function is:
Profit = Revenue - Costs
P(x) = R(x) - C(x)
Now, R(x) = xp(x)
R(x) = x[ ( - x/5000) + 12]
R(x) = ( - x² / 5000 ) + 12x
The fixed cost is F(x) = $95000
Hence, the costs will be:
C(x) = 95000 + (0.10)x
Therefore the profit function is:
P(x) = R(x) - C(x)
P(x) = ( - x² / 5000 ) + 12x - 95000 - (0.10)x
P(x) = ( - x² / 5000 ) + 11.9x - 95000
Learn more about profit function here:
https://brainly.com/question/21497949
#SPJ9
The perimeter of a rectangle is 28 cm. Which of the following express the area of the rectangle in terms of the width x?
Answers
Answer:
14x−x
2
Step-by-step explanation:
Perimeter is 2x + 2y = 28 (y is the length BTW)
To find y, transfer equations
28-2x=2y
Divide both sides by 2
14-x = y
Now you have your length in terms of x
Multiplt length and width
x(14-x)
14x - x {}^{2}14x−x
2
Please this question correctly if you answer right I’ll give u brainlest
Answers
Answer:
Subtraction
Step-by-step explanation: Your subtracting 4 to the equation
A(n) integer is greater than 0.
Answers
The question you are asking doesn't provide a ton of info on what you are looking for, however:
________________________________________________________
Integers: "What Are They?"An integer is a number with no fraction part or decimal, and it contains both negative and positive numbers, including the number 0 on a X and Y graph.
~Positive Numbers~ - These include any integer that has greater values than the number 0. They are also commonly referred to as positive integers, natural numbers and whole numbers.Example: 1, 2, 3, 4, and 5 are all positive integers and are greater than 0.~Negative Numbers~ - These include any integer that has values less than the number 0.Example: -1, -2, -3, -4, and -5 are all negative integers that are less than 0.________________________________________________________
Hope this kind of helps you to better understand the topic and hopefully get closer to the answer you seek. Good luck!
A piece of rope 20 feet long is cut from a longer piece that is at least 32 feet long. The remainder is cut into four pieces of equal length. Describe the length of each of the four pieces.
Answers
Answer:
3
Step-by-step explanation:
32 - 20 = 12
12/4 = 3
This assumes that by remainder they mean they twelve feet left over and not the twenty feet removed. This is likely what it means.
This is a conversion graph between litres and gallons. Use the graph to convert 60 gallons to litres
Answers
Disclaimer: The conversion graph is missing in the question.
60 gallons is equal to 227.125 litres.
Refer to the attached image for the conversion of litres to gallons.
And gallons to litres.
In this image, a vertical line is drawn from the given value of gallon until it meets the cross line. And then a horizontal line is drawn, which touches the litres line.
At the point at which this horizontal line touches the litres line, that value is considered as the corresponding litres for the given gallons.
Similarly, a vertical line is drawn from the litres line until it meets the cross line. And then a vertical line is drawn, which touches the gallons line.
At the point at which this vertical line touches the gallons line, that value is considered as the corresponding gallons for the given litres.
Learn more at:
https://www.unitconverters.net/volume/gallons-to-liters.htm
#SPJ9
What is the meaning of selling price?
Answers
Answer:
noun. Britannica Dictionary definition of SELLING PRICE. [singular] : the price for which something actually sells. They asked $200,000 for the house, but the eventual selling price was $175,000.
The governor of state A earns $54,900 more than the governor of state B. If the total of their salaries is $310,850, find the salaries of each.
need to find a and b
Answers
Answer:
$127975, $182875
Step-by-step explanation:
Let the salary in state A be x. Then, the salary in state B is x+54900.
[tex]x+x+54900=310850 \\ \\ 2x=255950 \\ \\ x=127975 \\ \\ x+54900=182875[/tex]
A student is given this proof.
Given: AOM DON
Prove: CON~ BOM
ZAOM ZDON
given
ZBOM DON
vertical angles
theorem
ZAOM ZBOM
transitive
property of
congruence
ZAOM ZCON
vertical angles
theorem
ZCON BOM
transitive
property of
congruence
The student says that the proof shows that AOM BOM because they
are vertical angles.
Which statement best corrects the student's interpretation?
Answers
From the steps below, it has been proved that by transitive property of congruence, we can say that; ∠CON ≅ ∠BOM
How to prove congruent angles?
We are given;
∠AOM ≅ ∠DON
To prove that;
∠CON ≅ ∠BOM
Now, from the image attached, we can say that;
∠BOM ≅ ∠DON because of vertical angles theorem
Similarly, we can say that ∠AOM ≅ ∠BOM due to transitive property of congruence.
Also, we can say that from vertical angles theorem, ∠AOM ≅ ∠CON
Finally, since ∠AOM ≅ ∠BOM, then by transitive property of congruence, we can say that;∠CON ≅ ∠BOM
Read more about Congruent Angles at; https://brainly.com/question/3168048
#SPJ1
Find the area of AXYZ. (Hint: Draw a rectangle whose sides contain points X, Y, and Z.)
Ay
Y
-4
X
-2
Area: I
4
2
-2
N
2
square units
4 x
So
Answers
The area of triangle XYZ is of 13.3 units².
What is the missing information?The missing information are the vertices of the triangle, given as follows:
X(-3,2).Z(1,-1).Y(3,4).What is the area of a triangle?The area of a triangle is given by half the base multiplied by the height, that is:
A = 0.5bh
For this problem, the have that the base is the length of segment XZ, which is found applying the distance between two points as follows:
[tex]b = \sqrt{(1 + 3)^2+(-1 - 2)^2}[/tex]
b = sqrt(25)
b = 5.
The height is the distance between the midpoint of XZ and Y. The midpoint of XZ(mean of the coordinates) is (-1, 0.5), hence the height is:
[tex]h = \sqrt{(-1 - 3)^2+(4 - 0.5)^2}[/tex]
h = sqrt(4² + 3.5²)
h = 5.32.
Thus the area of the triangle is given by:
A = 0.5 x 5 x 5.32 = 13.3 units².
More can be learned about the area of a triangle at https://brainly.com/question/17335144
#SPJ1
determine whether the graph is a fraction
Answers
Answer:
no, in a function x can not repeat so points (2,-1) and (2,-2) makes it wrong bc 2 is your x
Translate the sentence into an equation.
Five times the sum of a number and 3 equals 7.
Use the variable x for the unknown number.
Answers
Answer:
(5x) + 3 = 7
Step-by-step explanation:
Times means 'The answer when you multiply' So we are working in multiplication. ( x )
5x is the multiplication.
It says 'and' which can also mean addition. So we add 3. So far our equation is: (5x) + 3 (Brackets are needed as we are multiplying 5 by x and not multiplying 5 by x+3)
Lastly it says the answer must be 7 so we add that at the end. So the answer is:
(5x) + 3 = 7
please help asap !!!!
Answers
On the graph, the circle will be open because that is what the less than or equal to stands for on that. The line goes to the left because x is equal to any number less than 7.
Hope this helped :)
Estimate actual problem by rounding all the way and do actual division: LU 1-1(2), LU 1-3(2)
Actual. Estimate
695)8,950
Answers
The actual problem will be 9000 % 700, with the remainder 600 and quotient 12.
Since we are with the actual problem, which is 8,950 % 695, here the dividend is 8950 and the divisor is 695, the actual division we come up with the 12 as quotient and remainder 620. Now making the expression simple using the round-off rule, here in the dividend 8950, the last two digits are 50, so we can round off it to 9000 and in the divisor 695, the last digit is 5, so we add 1 in the preceding number converting it to 700, after the actual division of the estimated expression, the quotient we come up with is 12, and the remainder is 600.
To know more about the round-off rule refers to the link https://brainly.com/question/28673593?referrer=searchResults.
#SPJ1
A theater group made appearances in two cities. The hotel charge before tax in the second city was $1500 higher than in the first. The tax in the first city was 7.5%, and the tax in the second city was 5.5%. The total hotel tax paid for the two cities was $700. How much was the hotel charge in each city before tax?
Answers
The hotel charge in city one is $767 and the hotel charge in city two is $2276.
Let x = the charge in 1st city before taxes and
Let y = the charge in 2nd city before taxes
The equation before taxes:
y = x ₊ 1500 ..eq(1)
The equation for total tax paid:
0.075x ₊ 0.055y = 700 ..eq(2)
Substitute equation 1 that is y value in equation 2.
0.075x ₊ 0.055(x₊1500) = 700
0.075x ₊ 0.055x ₊ 82.5 = 700
add the variables and subtract the constants.
0.805x = 700 ₋ 82.5
0.805x = 617.5
x = 617.5/0.805
x = 767
now substitute x value in equation 1.
y = 767 ₊ 1500
y = 2267
Hence the hotel charge before the tax in the first city was $767 and in the second city was $2267.
Learn more about Linear equations here:
brainly.com/question/1884491
#SPJ9
In an election of a municipality two candidates A and B stood for the post of Mayor and 25000 people were in the voter list. Voters were supposed to cast the vote for a single candidate. 12000 people cast vote for A, 10000 people cast for B and 1000 people cast vote even for both. Show these informations in a Venn-diagram. How many people didn't cast vote ? Find it. How many votes were valid ? Find it.
Answers
Venn diagram{image attached},2000 people didn't cast their vote and 1000 votes are not valid in the election
Given that In a municipal election, two candidates, A and B, ran for the position of Mayor, and 25000 people voted. Voters were supposed to vote for only one candidate. A received 12000 votes, B received 10,000 votes, and 1000 cast votes for A and B both.
Number of votes for A=12,000
Number of votes for B=10,000
1000 cast votes to Both A and B, these votes are not valid because each one is supposed to vote only for one.
Therefore, the number of votes not valid is 1000
Total people cast vote= sum of votes for every party
Total people cast vote=12,000+10,000+1000
Total people casted vote=23,000
Therefore, Venn diagram{image attached},2000 people didn't cast their vote and 1000 votes are not valid in the election
Learn more about vote here:
https://brainly.com/question/13974806
#SPJ9
Divide 4 and 5 over 6 ÷ negative 2 and 1 over 7.
Answers
Answer:
I don't get the question will please can u snap it so I can see it my self and I will help u
Answer: -2 1 over 2
Step-by-step explanation:
Anais bought 5/2 yards of ribbon. She had 1 feet 6 inches of ribbon left after trimming some curtains. How many inches of ribbon did Anais use to trim the curtains?
Answers
Answer: The number of ribbons used to trim the Curtains are 72 inches.
Step-by-step explanation:
Let us convert all numbers into inches.
Then, 1 yard= 36 inches
Given data, 5/2yards
So, 5/2 yards means.,
5/2= 2.5 yards
We can write: 2.5yards=2.5x36inches
=90inches
We convert feet into inches
1feet=12inches
We consider 1feet=12inches
In this question she had 1feet 6 inches of ribbons left.
Then 1x12=12inches
More 6 inches: 12+6=18inches
Now subtract 18 inches from 90 inches to get the inches used to trim curtains
Then, 90inches-18inches=72 inches
Thus, the number of ribbons used to trim the Curtains are 72 inches.
Learn about more information https://brainly.in/question/11941065
#SPJ9
Incorrect
7(14+49)
7(2+49)
Question 5
60
0/1 pts
Fabric is sold in stores from bolts that are 45 or 60 inches wide. What is the
width, in inches, of the widest strips of fabric you can cut from either bolt
without wasting any of the fabric if each strip has the same width?
Answers
Answer:
15
Step-by-step explanation:
The greatest common factor of 45 and 60 is 15.
For the equation, find three ordered pair solutions by completing the table. Then use any two of the ordered pairs to graph the equation.
x - y = 4
Answers
Answer:
Please see picture below.
Step-by-step explanation:
Find the slope of the line passing through the points (-4,6) and (3,6)
Slope:
Find the slope of the line passing through the points (-5,8) and (-5,-6)
Slope:
Answers
1. 0
2. Undefined
Explanation:
To find the slope of the two points, you first have to subtract the y1 from the y2 (6-6). Then, you do the same thing with the x1, and the x2 (3-(-4). Your slope is 0/7. 0/7 simplified is 0, since the 0 is the numerator, not the denominator.
Next, you can do the same thing with the second slopes. First is -6-8, which is the numerator, and then do -5-(-5), which is the denominator. Your answer comes out to -14/0. If the denominator is 0, the answer is will always be undefined.
Hope that helped!!
Required answer:
0Not DefinedDetailed explanation:
To find the slope of the line, given that it passes through two points, use the formula:
[tex]\bf{m=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
Where:
m = slopePlug in the data:
[tex]\bf{m=\dfrac{6-6}{3-(-4)}=\dfrac{0}{3+4}=\dfrac{0}{7}=\boxed{\bf{0}}[/tex]
- - - - - - - - - - - - - - - - - - - - - -
Given the pair of points: (-5,8) and (-5,-6), plug them into the slope formula:
[tex]\bf{m=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
Evaluate:
[tex]\bf{m=\dfrac{-6-8}{-5(-5)}=\dfrac{-14}{-5+5}=\dfrac{-14}{0}=\boxed{\bf{Not\:De fined}}[/tex]
- - - - - - - - - - - - - - - - - - - - - - -
