Answers
Answer:
For this type of problem, it is best to use Venn diagrams as shown in the picture. The areas where the circles intersect are the mutual events that occur together. The area where all circles intersect is denoted as x. These are the students who play all sports. Assuming all of the students play sports in the school, all of the numbers in the circles should add up to 405. The remaining area would be the difference. The solution is as follows:
Students who play tennis and hockey: 45 - x
Students who play hockey and softball: 60 - x
Students who play only tennis and softball: 39 - x
Students who only play tennis:
251 - 45 + x - 39 +x -x = x + 167
Students who only play hockey:
157 - x - 45 + x - 60 + x = x + 52
Students who only play softball:
111 - x - 60 + x - 39 + x = x + 12
The sum of all of these should be 405:
45-x+60-x+39-x+x+167+x+52+x+12 = 405
Solving for x,
x = 30
Therefore, there are 30 pupils who play all sports; 15 pupils who play tennis and hockey; 30 pupils who play hockey and softball; 9 pupils who play tennis and softball; 197 pupil who only play tennis; 82 pupils who only play hockey; and 42 pupils who only play softball.
Step-by-step explanation:
Hope this is correct, if it is wrong then please feel free to critique me and I wil correct my mistake(s). I'm sorry in advance if it is incorrect.
Related Questions
Jacque needs to buy some pizzas for a party at her office. She's ordering from a restaurant that charges a $7.50, 7, point, 50 delivery fee and $14 per pizza. She wants to buy as many pizzas as she can, and she also needs to keep the delivery fee plus the cost of the pizzas under $60
Whats the Inequality
Answers
Answer:
7.50 + 14x < 60
x < 3.75
Step-by-step explanation:
Let
x = number of pizzas ordered
Delivery fee = $7.50
Cost per pizza = $14
Total cost should be less than $60
The inequality
7.50 + 14x < 60
14x < 60 - 7.50
14x < 52.5
x < 52.5/14
x < 3.75
whats 3x+34+23y=
frezz
Answers
Answer:
3x+34+23y, You can not add in this equation as there are no like numbers.
Step-by-step explanation:
Answer:
isnt it 60xy
Step-by-step explanation:
Triangle HIJ is similar to triangle KLM. Find the measure of side MK. Round your answer to the nearest tenth.
Answers
Answer:
[tex]MK\approx 87.7[/tex]
Step-by-step explanation:
By definition, similar polygons have corresponding sides in a constant proportion. Therefore, we can set up the following proportion (ratio of corresponding sides) to solve for [tex]MK[/tex]:
[tex]\frac{20}{13}=\frac{MK}{57},\\MK=\frac{57\cdot 20}{13}\approx \boxed{87.7}[/tex]
Answer:
87.7
Step-by-step explanation:
Like stated previously similar triangle have side lengths with common ratios
*Create a proportionality to solve for MK*
57/13 = MK / 20
Now solve for MK
Multiply each side by 20
57/13 * 20 = 87.7 ( rounded )
MK/20 * 20 = MK
We're left with MK = 87.7
Plz help ASAP I got 10 mins !!!!!
Answers
Answer:
x=5
Step-by-step explanation:
Since the triangles are similar we can use ratios to solve
4.5 7.5
---- = ------
3 x
Using cross products
4.5x = 3 * 7.5
4.5x = 22.5
Divide each side by 4.5
x = 22.5/4.5
x=5
Pls answer……………………..
Answers
Answer:
Step-by-step explanation:
J and k are parallel if
angle 1 = angle 4 (vertically opposite angles)
angle 2 + angle 5 = 180 degree (being co interior angles)
angle 4 = angle 5 (being alternate interior angles)
angle 1 = angle 5 (being corresponding angles)
Answer:
2 and 5 are co - interior angles
1 and 3 are corresponding angles
1 and 4 are alternate
6 and 8 are corresponding angles
Step-by-step explanation:
At Appliance Market, a salesperson sells a dishwasher for $569. She gets a commission rate of 18 percent. Which
expression represents how much she will receive in commission from the sale?
Answers
At Appliance Market, a salesperson sells a dishwasher for $569. She gets a commission rate of 18 percent. 569 (0.18) represents how much she will receive in commission from the sale.
Which similarity postulate or theorem can be used to verify that the two triangles shown below are similar?
Answers
Answer:
C. Similarity cannot be determined
Step-by-step explanation:
Two triangles are considered similar when all three angles are equal and also when the ratio of their corresponding side lengths are equal.
Since we only know the angles of the two triangles given and we are not given the side lengths to determine if their corresponding ratio is the same, we therefore cannot determine if the two triangles are similar in anyway.
Suppose that the regression equation y = 16.99 + 0.32 x1 + 0.41 x2 + 5.31 x3 predicts an adult's height (y) given the individual's mother's height (x1), his or her father's height (x2), and whether the individual is male (x3 = 1) or female (x3 = 0). All heights are measured in inches. In this equation, the coefficient of ______ means that ______. x1; if two individuals have mothers whose heights differ by 0.32 inch, then the individuals' heights will differ by 1 inch. x1; if two individuals have mothers whose heights differ by 0.5 inch, then the individuals' heights will differ by 0.32 inch. x2; if two individuals have fathers whose heights differ by 1 inch, then the individuals' heights will differ by 0.41 inches. x2; if two individuals have mothers whose heights differ by 1 inch, then the individuals' heights will differ by 0.41 inches. x3; a brother is expected to be 5.31 inches taller than his sister
Answers
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Given equation:
[tex]\to y = 16.99 + 0.32 x_1 + 0.41 x_2 + 5.31 x_3[/tex]
Predicts a height [tex](y)[/tex]of adults provided the height of the mother [tex](x_1)[/tex], the height [tex](x_2)[/tex] of a father but if the person is male [tex](x_3 = 1)[/tex] or female [tex](x_3 = 0)[/tex].
The factor[tex]x_1 = 0.32[/tex] is an increase in the kid's length even as the mother increases by one inch.
Likewise, the coefficient [tex]x_2 = 0.42[/tex] was its rise in child length as just a result of the increase of one inch in dad.
The coefficient [tex]x_3 = 5.31[/tex] is an increase of a child's height cos of the male as opposed to that same female.
2. Based on the cash flows shown in the chart below, compute the IRR and MIRR for Project Erie. Suppose that the appropriate cost of capital is 12 percent. Advise the organization about whether it should accept or reject the project.
Project Erie
Time 0 1 2 3 4 5
Cash Flow $12,000 $2,360 $4,390 $1,520 $980 $1,250
Answers
Answer:
IRR = -5.19%
MIRR = 3.33%
The company should reject the project
Step-by-step explanation:
Internal rate of return is the discount rate that equates the after-tax cash flows from an investment to the amount invested
IRR can be calculated with a financial calculator
Cash flow in year 0 = -$12,000
Cash flow in year 1 = $2,360
Cash flow in year 2 = $4,390
Cash flow in year 3 = $1,520
Cash flow in year 4 = $980
Cash flow in year 5 = $1,250
IRR = 5.19%
The modified internal rate of return is a capital budgeting method used to determine the profitability of an investment. The MIRR assumes that cash inflows are reinvested at the firm's cost of capital and outflows are financed at the firm's financing cost.
MIRR = (Future value of a firm's cash inflow / present value of the firm's cash outflow)^ (1/n) - 1
n = number of years
present value of the firm's cash outflow = $12,000
Future value of a firm's cash inflow
Future value of year 1's cash flow = $2,360 x (1.12^4) = $3,713.51
Future value of year 2's cash flow =$4,390 x (1.12^3) = $6167.63
Future value of year 3's cash flow =$1,520 x (1.12^2) = $1906.69
Future value of year 4's cash flow = $980 X 1.12 = 1097.60
Future value of year 5's cash flow = 1250
Add the future values together = $14,135.43
($14,135.43 / $12,000)^0.2 - 1 = 3.33%
The project should be rejected because the IRR is negative.
To find the IRR using a financial calculator:
1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.
2. After inputting all the cash flows, press the IRR button and then press the compute button.
PERFORMANCE TASK : “TRANSVERSAL CITY MAP”
This project will help you to demonstrate your knowledge of parallel lines, transversals and the angles that are created by them. You will be designing a city map using the guidelines listed below. Your map must be drawn on construction paper or poster board. Use a ruler to make your streets straight! Have a title for your map, and make it neat and organized! You will be graded on accuracy, creativity and neatness.
Guidelines:
1) There must be a title for your map.
2) Your city must have three streets that are parallel to each other and one street that intersects all three of the parallel streets. You must name all of these streets.
3) Your city has a hospital that is alternate exterior to the school that is in your city. Draw and name the hospital and the school.
4) The school and the drugstore are at corresponding locations. Draw and name the drugstore.
5) The drugstore and the pet shop are at vertical locations. Draw and name the pet shop.
6) The pet shop and the gas station are at alternate interior locations. Draw and name the gas station.
7) The hospital and the park are at same side exterior locations. Draw and name the park.
8) The gas station and the grocery store are at same side interior locations. Draw and name the grocery store.
9) The grocery store and the nail salon are at vertical locations. Draw and name the salon.
10) The nail salon and bank are at corresponding locations. Draw Target.
11) The bank and a fast food restaurant are at same side interior locations. Draw and name the fast food restaurant.
12) Your city has a mall that is in a corresponding location to the bookstore that is in your city. Draw and name the mall and the bookstore. (If you did all of the others correctly, then the bookstore and the mall only have one place to be located)
Answers
In constructing a transversal city map by applying the knowledge of transversal and parallel lines, a map named California City Map has been drawn as shown in the image attached below.
(See attachment).
Recall:
Parallel lines are straight lines that do not meet each other.Transversal line is a that run through two or more straight lines that are parallel.Special angles are formed when transversal intersects parallel lines, which are: corresponding angles, same-side interior angles, same-side exterior angles, alternate exterior and alternate interior angles, and vertical angles.Using the knowledge of all these, an map named, "California City Map" has been drawn as shown in the image attached below.
The details are as follows:
1. Title for the map is:
California City Map.2. The three streets that are parallel are:
Adams BoulevardBeverly DriveCarroll AvenueThe street (transversal) that intersects the three is:
Darlin Way3. St. Michael Hospital is alternate exterior to Baptist Model School
4. Baptist Model School and Living Well Drug Store are in corresponding locations to each other.
5. Living Well Drug Store and Vik Pet Store are at vertical locations.
6. Vik Pet Store and Elite Gas-station are at alternate interior locations.
7. St. Michael Hospital and Livingstone Park are at same-side exterior locations.
8. Elite Gas-station and Richie Grocery Store are at same-side interior locations.
9. Richie Grocery Store and Beautyjay Nail salon are at vertical locations.
10. Beautyjay Nail salon and Retro Bank Plc are at corresponding locations.
11. Retro Bank Plc and Tessy's Fast Food Restaurant are at same-side interior locations.
12. California City Mall and Remis Bookstore are at corresponding locations.
In summary, in constructing a transversal city map by applying the knowledge of transversal and parallel lines, a map named California City Map has been drawn as shown in the image attached below.
(See attachment).
Learn more here:
https://brainly.com/question/13207832
the bag of skittles has 3 parts red skittles , 5 parts yellow skittles and 7 parts orange skittle. Represent this ratio three ways;visually, using ratio notation and using fraction notation
Answers
Step-by-step explanation:
Given that,
The bag of skittles has 3 parts red skittles, 5 parts yellow skittles and 7 parts orange skittle.
Ratio notation is= 3:5:7
Frction notation,
Red skittle[tex]=\dfrac{3}{3+5+7}=\dfrac{1}{5}[/tex]
Yellow skittle [tex]=\dfrac{5}{3+5+7}=\dfrac{1}{3}[/tex]
Orange skittle [tex]=\frac{7}{3+5+7}=\dfrac{7}{15}[/tex]
Hence, this is the required solution.
Please answer i will give brainliest
Answers
Answer:
sorry bro......sis
Step-by-step explanation:
don,t know its answer
Degree= radian x 57.3 = 5π/9 x 57.3 = 100.007 degree
I hope that helps and wish you the best !!
Find x . Please and thank you
Answers
Answer:
x = 6
Step-by-step explanation:
In similar triangles, corresponding sides are in same ratio
[tex]\frac{x+3}{3}= \frac{6}{2}\\\\ \frac{x+3}{3}=3\\\\x+3 = 3*3\\\\x+3 = 9\\\\x = 9-3\\\\x = 6[/tex]
No Docs/No Files only real answer
5-star rated and I will give a brainliest
Answers
Answer:
question a is technically 7.5 and question b is 7.5
Step-by-step explanation:
half half
What is the value of [tex]\frac{81^4}{3^5}[/tex]? (Express your answer in exponential form.)
Answers
Answer:[tex]3^1^1\\[/tex]
Step-by-step explanation:
[tex]\frac{81^4}{3^5}[/tex]
[tex]\frac{3^1^6}{3^5}[/tex]
The base is same power can be add or subtract
[tex]3^1^6^-^5[/tex]
[tex]3^1^1[/tex]
1850=12
2918=20
5044 = ?
7573=56
Answers
Answer:
1623 jajaggkcgaiahvs Kah kaye kaha
Last year, samantha spent $2,478 for natural gas. This year, she decided to use balance billing. What will her monthly payment be this year?
Answers
Answer:
She will need to pay $206.50 per month.
Step-by-step explanation:
Divide the total cost ($2,478) by the number of months (12 mos) to obtain Sam's monthly payment:
$2,478
---------------- = $206.50/month
12 months
She will need to pay $206.50 per month.
What is the range of the relation (-2, 4), (3,-2), (1, 0), (5,5)?
A. {-2, 3, 1,5}
B. {4,-2, 0,5}
C. {-2, 4, 5, -2}
D. {-2,-1, 0, 5}
Is it D?
Answers
Answer:
A.{-2,3,1,5 } or D. {-2, -1, 0,5}
A battery with a voltage of 3 V provides a voltage of 0.56 C to some circuits. Calculate the electrical power provided by this battery
Answers
Answer:
The power is 1.68 W.
Step-by-step explanation:
Voltage, V = 3 V
charge, q = 0.56 C
time, t = 1 s
Let the power is P.
P = V q /t
P = 3 x 0.56 / 1 = 1.68 W
If y varies directly as x, and y is 48 when x is 6, which expression can be used to find the value of y when x is 2
Answers
Answer:
y = 8(2) = 16
Step-by-step explanation:
"If y varies directly as x," then y = kx, where k is the constant of proportionality.
Here, when x = 6, y = 48. This data lets us calculate k:
48 = k*6, or k = 8.
Then the pertinent equation is y = 8x.
If x = 2, y = 8(2) = 16
Hiiioo! Can someone please help me out! :)❤️
Answers
Answer:
-2/3
3/2
Step-by-step explanation:
slope is m in the equation y = m*x+b.
3y=-2x-3
y=-2/3x-1
parallel lines have the same slope, so slope of parallel lines is -2/3
perpendicular lines have negative the inverse
so -(-3/2)=3/2
Solve the system of equations by graphing on a separate sheet of paper. Write your solutions as ordered pairs from least to greatest with respect to the x-coordinate.
y=x2+6x+4
y=x
Answers
Answer:
x= -2
y= -2
Step-by-step explanation:
y = 8x + 14
y = x
Now by subtraction of these two equation,
So 0 = 7x + 14
x = -2
y = -2
I'll give brainliest to the best answer if you help me with the image down below!
Includes: an explanation please
Answers
Answer:
3 Pounds
Step-by-step explanation:
2.82 rounded to the nearest whole number is 3.
If we wanted to round 2.82 to 2, it would have to be 2.49 or less
What is the area? Bit confused on this one.
Answers
Answer:
A = 9x² + 12x
Step-by-step explanation:
The area (A) of the rectangle is calculated as
A = height × width
= 3(3x² + 4x) ← distribute parenthesis by 3
= 9x² + 12x
Answer:
For the blue one:
A1=length*breadth
=3*3x^2
=9x^2
For pink:
A2=length*breadth
=3*4x
=12x
So the total area is:
A=A1+A2
=9x^2+12x
Last question, so please help me out ASAP!
Answers
Answer:
5/18
Step-by-step explanation:
conditional probability formula:
A|B (a given b) = (A∩B)/(B)
so
Moderate|college (moderate given college)= (moderate∩college)/college
moderate∩college= 15
college= 11+15+28= 54
15/54= 5/18
I need help fast please!!!!
Answers
Answer:
f translates right 2 units to get g. sorry about my English
How do I solve this please? Can SOMEONE please help me this and the ones Iposted on my page.
Answers
Answer: [tex]\dfrac{15}{64}[/tex]
Step-by-step explanation:
Given
Inside radius of figure [tex]r_1=\frac{14}{2}=7\ ft[/tex]
Outside radius of figure [tex]r_2=\frac{16}{2}=8\ ft[/tex]
Area of outside region is [tex]A_1=\pi (8^2)[/tex]
Area of inside region [tex]A_2=\pi (7)^2[/tex]
Area of shaded region [tex]A_1-A_2[/tex]
Probability that point lies inside the shaded region is
[tex]\Rightarrow P=\dfrac{A_1-A_2}{A_1}\\\\\Rightarrow P=\dfrac{\pi (8^2-7^2)}{\pi 8^2}\\\\\Rightarrow P=\dfrac{64-49}{64}\\\\\Rightarrow P=\dfrac{15}{64}[/tex]
If each dimension of the cylinder is doubled, how many
times larger will the volume of the cylinder be?
Answers
son las partes de las que se compone el reporte de la encuesta:
A)lnicio, desarrollo y fin.
B) lntroduccion, desarrollo y conclusiones.
C ) Entrada,cuerpo y cierre
D )Ninguno de los anteriores
Answers
Answer:
Na dimio reso
Ta pidi yo
Era olvida yo contigo
Step-by-step explanation:
there's no explanation
NEED HELP FAST ILL MAKE BRAINLIEST
Jenna's English teacher tells her that there are 5 vowels in the alphabet. Based on this information, Jenna states that given any word in the English language, the probability of randomly choosing a vowel from among the word's letters is 5/26.
Explain the flaw in Jenna's reasoning.
Provide a word where the probability of randomly choosing a vowel from the word's letters is 1/2.
Answers
Answer:
Number of alphabets in English = 26 Number of vowels = 5 (a, e, i, o ,u) So, the probability of choosing a vowel = 5/ 26.
