A school sports team contains 68 students. 33 do field events, 40 do track events, 23 do swimming, 14 do both field and track events. If 15 students do field events only and 10 do both swimming and track events, how many students do a) swimming knly b)track events only c) all three events?

Answer:

2232.48 meters

Step-by-step explanation:

From the diagram:

Radius of semicircle = 74

Length of straightway on each side = 1000

The length of school track:

Straightway on each side = 2 * 1000 m = 2000m

Length of semicircle = πr/2

Length of both semicircle  = 2 * 3.142 * 74 /2 = 232.47785

Total Length = ( 2000 + 232.47785) = 2232.48 meters

Hope this helps!

Answer: 41, think of PEMDAS while reviewing. Good luck!

Step-by-step explanation:

80 + 6(-5) + (-9)

80 + (-30) + (-9)

80 + (-39)

= 41

Answer:

DH

Step-by-step explanation:

Answer:  x = 249

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Its straight and a straight line like that means your staying there for a long period of time.

Answer:

4/2

Step-by-step explanation:

Answer:

3 times (18+ 2) - 100

3 (18+2) - 100 = -40

Answer:

3 both sides

Step-by-step explanation:

Answer:

There are 6 pears and 9 apples.

Step-by-step explanation:

The equation would be a=3+2p

Answer: x=9

Step-by-step explanation:

2x+10=28

2x=18

x=9

Answer:

9

Step-by-step explanation:

because 2 times 9 is 18 then plus 10 equals 28

Answer:

8 CDs

Step-by-step explanation:

Veronica started with 50 CDs

After giving 8 CDs to Leslie, Veronica now has 42 CDs

Now Veronica made 6 equal sets

Hence, 42/6 = 8

So there are 8 CDs in each set.

Answer:

Option C. Rational numbers can be written as a fraction where denominator is not zero.

Answer:

B

Step-by-step explanation:

Hope this helps D:

Answer:

the answer is yes.

Step-by-step explanation:

Answer:

It is a which is (-2,2).............

Answer:

51

Step-by-step explanation:

24 ^2+45^2=x^2

=51

Answer:

3/4

Step-by-step explanation:

The greatest common factor is 2 since 2 divides both into 6 and 8 so 3/4 is the answer since 3x2/4x2

Answer:

a, b, e

Step-by-step explanation:

It is proportional since it goes at the same rate on the x and y

It has a rate of 8.5 since 17/2=8.5

at the rate of 8.5 y per one x then 4 8.5's would make 34

Answer:

1) (x + 12)²+(y+6)²= 28

comparing above equation with(x-h)²+(y-k)²=r²

we get

r=√28

h=-12

k=-6

;.centre=(-12,-6)

radius =√28 units

2) x²+(y+7)²=15

comparing above equation with(x-h)²+(y-k)²=r²

we get

r=√15

h=0

k=-7

;.centre=(0,-7)

radius=√15 units

3) (x + 4)²+(y - 1)² = 4

comparing above equation with(x-h)²+(y-k)²=r²

we get

r=√4=2units

h=-4

k=1

;.centre=(-4,1)

radius=√2units

4) (x+3)²+(y-1)²= 8

comparing above equation with(x-h)²+(y-k)²=r²

we get

r=√8=2√2units

h=-3

k=1

;.centre=(-3,1)

radius=2√2units

The unbiased estimator

Answer:

[tex]g = \frac{ x - 2}{3} [/tex]

Answer: g=x-2/3

Step-by-step explanation:

When it says make g the subject it means make it on it's own in front of the '=' sign.

To make g the subject, you have to do the inverse to 'undo' the equation.

So, instead of adding 2, you have to take away 2 from x. This would now look like this:

x-2=3g

In algebra, when a number is next to a letter it means times. So instead of multiplying g by 3, you would have to divide x-2 by 3. This would now look like this:

x-2/3=g

Hope this helps :)

Answer:

3

Step-by-step explanation:

im in 8th grade this is what were doing right now

Answer:

25 and 13

Step-by-step explanation:

25 - 13 = 12  

25 + 2 = 27

13 -10 =3

27 is 9 times larger than 3

Answer:

L = 7.14

Step-by-step explanation:

using the Pythagorean theorem:

L² = 10² - 7²

L² = 100 - 49= 51

L = 7.14

Answer:

7.14

Step-by-step explanation:

to answer this you need to use pythagoras theorem and that is A²+B²=c²

in this case C²-A²=B²

10²=100

7²=49

100-49=51

then you need to square root 51 which gives your answer 7.14

So the first digit could be 0-9.

second is the same 0-9

And the 3rd 0-9 and lastly the 4th 0-9

There is a [tex]\frac{1}{10} *\frac{1}{10} *\frac{1}{10}* \frac{1}{10}[/tex] chance that they will get it right by guessing.

So that means a [tex]\frac{1}{10000}[/tex] chance that they will get it right.

So their are 10000 possible codes.

Answer is in the file below

tinyurl.com/wpazsebu

Your Welcome!!!!

The answer is in the picture!!!! :3

Answer:

0.2297 ;

78% of drivers use their turn signal. Part A: What is the probability that exactly 3 drivers use their turn signal if a police officer pulls over five drivers? (5 points) Part B: What is the probability the next driver using their turn signal that the police officer pulls over if the fifth driver? (5 points) (10 points)

Step-by-step explanation:

p = 0.78

1 - p = 0.22

P(x = 3)

Using the binomial distribution formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

P(x = 3) = 5C3 * 0.78^3 * 0.22^2

P(x = 3) = 10 * 0.78^3 * 0.22^2

P(x = 3) = 0.2297

2121, 3625,6540 and 8750 is the answer.

hope it helps

Answer:

X=2

Step-by-step explanation:

first combine like terms

subtract the x

add 5

lastly divide by 7

-5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8

1   2  3  4 5 6 7 8 9 10 11 12 13

The distance is 12

Edit: I did it wrong, sorry

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hope it helps

Answer:

The distance between the two points is 13 units

Step-by-step explanation:

on a graph, to find the distance you can either count each square/unit or you could add the points together not counting if they're negative or not

basically just add them in absolute value |-5| + 8= 13

hope this helps <3