Mathematics College

2.
In an annual function of a school every student has to participate either in sport or
in music. Out of 180 students, if 120 participate in sport and 40 participate in both
activities, find,
(i) how many students participate only in music?
(ii) Represent the above information in a Venn-diagram

Answers

Answer 1

Answer:

1.) 60 students

11.) kindly check attached picture

Step-by-step explanation:

Given that:

Total number of students = n(Total) = 180

Number who participate in sport = n(Sport) = 120

Number who participate in both = n(Sport n Music) = 40

Number who participate only in Music =?

Let number who participate in Music = x

Hence, n(Music only) = x - 40

n(Sport only) = 120 - 40 = 80 students

Summing all should give us n(total)

n(sport only) + n(sport n music) + n(music only) = 180

80 + 40 + (x - 40) = 180

80 + 40 + x - 40 = 180

80 + x = 180

x = 180 - 80

x = 100 students

Therefore,

n(Music only) = x - 40 = 100 - 40 = 60 students

2.In An Annual Function Of A School Every Student Has To Participate Either In Sport Orin Music. Out

Related Questions

Please explain how to do it so I can learn it

Answers

It is D because it means supplementary angles which equal up to 180

Holly is making fruit salad. She bought 3 pounds and 3 ounces of fruit. How many ounces of fruit did she buy? *Needed ASAP​

Answers

Answer:

Step-by-step explanation:

do 3 x 16 = 48 + 3 is 51

at one high school, the mean time for running the 100-yard dash is 15.2 seconds with a standard deviation of 0.9 seconds. the times are very closely approximated by a normal curve. find the percent of times that are at least 14.3 seconds

Answers

Answer:

The percent of times that are at least 14.3 seconds is approximately 16%.

Step-by-step explanation:

Let X denote the time for running the 100-yard dash.

It is provided that the times are very closely approximated by a normal curve.

So, the random variable X follows a normal distribution with a mean time of 15.2 seconds and with a standard deviation of 0.9 seconds.

Compute the probability of times that are at least 14.3 seconds as follows:

[tex]P(X\geq 14.3)=P(\frac{X-\mu}{\sigma}\geq \frac{14.3-15.2}{0.9})[/tex]

                    [tex]=P(Z\geq -1)\\\\=1-P(Z<-1)\\\\=P(Z<-1)\\\\=0.15866\\\\\approx 0.159[/tex]

*Use a z-table.

Thus, the percent of times that are at least 14.3 seconds is approximately 16%.

A snail travels 10 cm in 4 minutes. At this rate, how far will the snail get in 10 minutes?

Answers

Answer:

25CM

Step-by-step explanation:

Answer:

25 cm

Step-by-step explanation:

10*2.5 is the method I used.

Thirteen less than four times a number is 17

Answers

Answer: 9x

Step-by-step explanation:

Answer:

4x - 13 = 17

Step-by-step explanation:

Which set of ordered pairs
represents a function?
A. (5,-8),(8,-1),(8,7),(-4,2)
B. (-9,-9),(7,-9),(-7,-7),(9,-8)
C. (4,7),(-7,-4),(6,8),(-7,6)
D. (0,8),(-7,2),(4,-9),(4,-3)

Answers

Answer:

C. (4,7), (-7, -4), (6, 8), (-7, 6)

Step-by-step explanation:

There are no repeating numbers. For example, in answer A, 8 is repeated, (8, -1) and (8, 7)

Hope that helped! If you have any questions, just ask!

Type ALL the steps of writing the equation of the line given the slope of the line is −4 and a point on the line is (−2,1).

Answers

Answer:

y = -4x - 7

Step-by-step explanation:

we use the slope intercept formula given by; y = mx + b

b = y intercept, which is when x = 0

m = slope

so they tell us the slope.. we just need to find b - the y intercept.

y = mx + b

plug in your coordinates (-2,1)

1 = -4(-2) + b

1 = 8 + b

1 - 8 = b

-7 = b

put it all together.

y = -4x - 7

Help plz it’s 50 points help

Answers

Answer:

Step-by-step explanation:

Answer:

frist answer is right

Step-by-step explanation:

9X3 + 9 X 2 -43 X - 35


Melanie worked last weekend at her part-time jobs. She
earned $67.60. Place an X in the appropriate cell for
each row to indicate whether each situation represents
the additive inverse of how much Melanie earned last
weekend.
Additive Inverse
Not Additive
Inverse
finding $67.00
lo sin g $67.60
spending 567.60
recieving a gift of 67.00

Answers

Answer:

Step-by-step explanation:

HadsRIC

Thomas needed a loan to buy a car. He borrowed $24,000 from the bank at a rate of 8.25% simple interest for 36 months. What was the total amount that Thomas had to pay back?

Answers

Answer:

5,940.00

Step-by-step explanation:

Well its was really simple your welcome

The editors of a local
newspaper went to lunch to
celebrate birthdays. The
lunch costs $17.8.25 and they
left a 15% tip. What was the
cost of the meal?

Answers

Answer:

$111.52

Step-by-step explanation:

You have to divide your total amount by 1.15 and that will give you your answer. To check your work you can add your answer and 15% of your answer together. {111.52+(111.52x0.15)=128.25}

CAN SOMEONE PLEASE HELP ME??

Answers

The answer would be the third one, all you are doing is substituting a value of 1 when you see an x in the function

find the three consecutive even numbers which add up to 1524

Answers

Answer:  pretty sure 506,  508, 510

Step-by-step explanation:

Answer:

507,508,509

Step-by-step explanation:

3x+3=1524. 3x+3-3=1524

3x=1521. 3x/3=1521/3

x=507 which means the other numbers are 508 and 509

Stephanie put $300 into an account with 3% annual simple interest.
How long will it take for Stephanie to earn $90 in interest?

Answers

Answer:

Step-by-step explanation:

10 years

Need help will give brainleist

Answers

Answer:

41º

Step-by-step explanation:

Because of parallel lines, (2x-5)º=180º-113º, so (2x-5)º=67º.

(2x-5)º=67º2x-5=67º2xº=72ºx=36º

The angle that says (2x)º will be (2[36])º=72º.

So the other angle will be 180-67-72=41º as the sum of a triangle's interior angles is 180º.

Answer:

41°

Step-by-step explanation:

The angle below (2x-5) is also 113° (which i hope you know why)

Then to find (2x-5)° you would subtract 180 - 113 to get the angle because both those angles would add up to 180° because it is a straight angle which gives you 67°

Then you need to find x by solving the equation 2x - 5 = 67 which would give you x = 36, so you would multiply that by 2 for the angle on the side which would be 72°

Then bc the angles on the inside of the triangle all add up to 180° as well, you would add 72 + 67 = 139, then do 180 - 139 giving you d° as 41°

Deanna Jones opened a video rental store this year with 400 tapes. She plans to buy 150 new tapes each year from now on. Deanna expects to have 1300 tapes available during her fifth year in business. At her current purchasing rate, will she reach her goal? Explain.

A. No, she will have only 1150 tapes.
B. Yes, she will have exactly 1300 tapes.
C. Yes, she will have over 1300 tapes.
HURRY NEED SOON PLEASE

Answers

She will have exactly 1300 because 150x6 is 900 and 400+900 is exactly 1300

A video streaming company charges a yearly membership fee of $119. Some movies and episodes not included in the annual subscription cost $2.99 each to download. Write the equation to find the amount it will cost to download m movies in one year?

Answers

answer

the equation is $119 ÷ $2.99

jill bought 14 feet of fabric. the fabric cost $3.25 a foot, including tax. what is the total cost of the fabric?

Answers

Answer:

$45.5

Step-by-step explanation:

3.25 times 14 is 45.5

Answer:

$47.74

Step-by-step explanation:

Sales tax rate: 5%;

Price without tax: $3.25 dollars;

Amount of sales tax ≈ $0.16 dollars;

Price with sales tax ≈ $3.41 dollars;

Detailed calculations below:Amount of sales tax =

Sales tax rate × Price without sales tax =

5% × 3.25 =

5/100 × 3.25 =

0.05 × 3.25 =

0.1625 ≈

0.16;

Price with sales tax =

Price without sales tax + Amount of sales tax =

3.25 + 0.1625 =

3.4125 ≈

3.41;

means that we need to do 3.41 times 14 there your answer

how many solutions are there to the equation below
6x+30+4x=10(x+3)
a)0
b) infinitely many
c) one​

Answers

Answer:

b) infinitely many

hope it helps

If a data set has mean of 150 and a standard deviation of 25, what is the z-score of an element with a value of 250?

Answers

Answer:

Z-score is 4

Step-by-step explanation:

N(150, 25^2)

Use z-score formula (can be found from internet with miu and sigma symbol)

[tex]z = \frac{250 - 150}{25} \\ z = \frac{100}{25} \\ z = 4[/tex]

The distance between P and T on the coordinate grid is ___ units. (Input whole numbers only.)

Answers

Answer:

[tex]5\ units[/tex]

Step-by-step explanation:

[tex]From\ the\ graph,\\Coordinates\ of\ Point\ P=x_1,y_1=-10,15\\Coordinates\ of\ Point\ T=x_2,y_2=15,15\\Hence,\\As\ we\ know\ that,\\Linear\ Distance(d)\ between\ any\ two\ points\ on\ the\ cartesian\ plane\\ is\ given\ by:\\d=\sqrt{(x_2-x_1)+(y_2-y_1)} \\Hence, here\\Distance\ between\ Points\ P\ and\ T=\sqrt{(15-(-10))+(15-15)\\[/tex]

[tex]Distance\ between\ Points\ P\ and\ T=\sqrt{(15+10)}\\Distance\ between\ Points\ P\ and\ T=\sqrt{25}\\ Hence,\\Distance\ between\ Points\ P\ and\ T=5\ units[/tex]

Which one A,B,C,D This times so I need a answer in a hurry

Answers

Answer:

um c? i think so, i dont rly know

Step-by-step explanation:

Surface area of 9cm, 10cm, and 15cm

Answers

Answer: The answer is 750 cm

5y + 3y + 5 ≤ ‐2(2y + 4)

Answers

Answer:

y≤−13/12

Step-by-step explanation:

Answer:

y ≤ -13/12 or y = (-oo, -13/12]

Step-by-step explanation:

5y + 3y + 5 ≤ ‐2(2y + 4)8y + 5 ≤ - 4y - 88y + 4y ≤ -8 - 512y ≤ -13y ≤ -13/12ory = (-oo, -13/12]

hellllllllllllllllllllllllllp me plzzzzz

Answers

D. 7 miles

Step-by-step explanation:

26.5/4 =6.62

So the best estimate is 7 miles

find slope and y intercept 3x + 2y = -9

Answers

slope= -3/2
y-intercept= 0, -9/2

Answer:

Slope: -3/2          Y-intercept: (0, -9/2)

Step-by-step explanation:

~ Hope this helps ~

If the coefficient of determination is 0.394, what percentage of the data about the regression line is unexplained

Answers

Answer:

The percentage [regression line is unexplained]  = 60.6%

Step-by-step explanation:

Given:

Coefficient of determination = 0.394

Find:

The percentage [regression line is unexplained]

Computation:

Coefficient of determination = 0.394

Coefficient of determination = 39.4%

The percentage [regression line is unexplained]  = 100% - Coefficient of determination

The percentage [regression line is unexplained]  = 100% - 39.4%

The percentage [regression line is unexplained]  = 60.6%

Name the subset(s) of real numbers to which each number belongs. Then order the numbers from least to greatest.
45−−√ , 16/5 , −1

Answers

Answer:

I'm assuming 45−−√ is [tex]\sqrt{45}[/tex], and that it belongs to the subset of irrational numbers.

16/5 is a rational number, and -1 is an integer.

All numbers belong to the subset of real numbers.

Step-by-step explanation:

Hope this helped!

What is the perimeter of this polygon?

L2FwcGhvc3RpbmdfcHJvZC9ibG9icy9BRW5CMlVwYkZOdjFTNENGM2w5NTZIbzhybUFJSFlheFNqdmRHMm5BaFpQMUJONnRQcUJobDZYM3AxY29yRFVwWFJWeXc5cU5GQWhDajdDZGN3YUpSYVRmNV8wUzV2LVhSZy54azBYdVdxSDBkeHYxQ0Fs?w=400&h=400

a
24 units
b
22 units
c
28 units
d
26 units

Answers

Answer:

I am pretty sure it is

B. 22 units

Step-by-step explanation:

Answer:

24 units.

Count how many boxes make up the outside of the shape. Perimeter is just the distance around the shape.

Let me know of any other questions! :)

Bill and Ted are each saving money for a trip to Europe. Bill started with $75 and saves an additional $15 per week. Ted began with $120 and saves an additional $10 per week. After how many weeks, x, will they have the same amount of money saved? Explain how you arrived at your answer.​

Answers

Answer:

9 weeks

Step-by-step explanation:

After x weeks Bill will save money:

75 + 15x

And Ted will save:

120 + 10x

Since they save same amount, we have equation:

75 + 15x = 120 + 10x15x - 10x = 120 - 755x = 45x = 45/5x = 9 weeks
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