There are 120 people in a sport centre. 78 people use the gym. 46 people use the swimming pool. 45 people use the track. 21 people use the gym and the pool. 16 people use the pool and the track. 24 people use the gym and the track. 9 people use all three facilities. A person is selected at random. What is the probability that this person uses at least 2 facilities?

Answer:

the solution is (0,2) to the problem

Answer:

20 degrees

I know that it is acute, meaning it is less than 90. It is also less than 45 degrees, and is in the middle of 45 to 0 degree interval, so I say it is 20 degrees.

Answer:

V is inside the circle.

Step-by-step explanation:

We work out the radius of the circle which is the distance between K (0,0) and (6, -4).

Radius = √[(6 - 0)^2 + (-4 - 0)^2]

= √(16 + 36)

= √52.

Now find the distance of point V from K(0,0):

= √((√2-0)^2 + (-7-0)^2]

= √(2 + 49)

= √51.

This is less than the radius of the circle, so V lies inside it.

Answer:

+ closed

- closed

* closed

÷ not closed

Step-by-step explanation:

When you add integers, you will always get an integer so it is closed under addition

When you subtract integers, you will always get an integer so it is closed under subtraction

When you multiply integers, you will always get an integer so it is closed under multiplication

When you divide integers, you will not always get an integer so it is not closed under division

1/5 = .2 which is not an integer

Answer:

1. Yes

2. Yes

3. Yes

4. No

Step-by-step explanation:

The expression -8 + 5 shows the sum of two integers. This expression has a value of -3. Because -3 is also an integer, the set of integers appears to be closed under addition.

The expression 9 − (-11) shows the difference of two integers. This expression has a value of 20. Because 20 is also an integer, the set of integers appears to be closed under subtraction.

The expression 3 · (-4) shows the product of two integers. This expression has a value of -12. Because -12 is an integer, the set of integers appears to be closed under multiplication.

The expression, -1 ÷ 6, shows the quotient of two integers. This expression has a value -1/6, Because -1/6 is not an integer, the set of integers is not closed under division.

Answer:

10/8 pounds

Step-by-step explanation:

Answer:

5/4 or 1.25 pounds of choclate chips

Step-by-step explanation:

Answer:

the range of this function is c

it is on the right hand side

Answer:

w = 5 , w = -5

Step-by-step explanation:

w^2 = 25

Take the square root of  each side

sqrt(w^2) = ± sqrt(25)

w = ±5

Answer:-5 or 5

Step-by-step explanation: square root both sides, 5x5=25 and -5x-5 could equal 25

Answer:

Function 2.

Step-by-step explanation:

For the first equation, the y-intercept is the 'b' value in the equation

y = mx + b.

In the equation given, b = 5. This is the y-intercept for the equation.

To find the y-intercept, you need to look for the 'y' value at x = 0. Therefore:

In the table, notice that when t = 0, r = 5.25. This is the same as x = 0, y = 5.25. This means that the y-intercept of the table is y = 5.25.

Since 5.25 > 5, function 2 has a greater y intercept.

Answer:

(1/6)^2

Step-by-step explanation:

We want to find the fraction that is equivalent to 1/36.

Let us look at each of them individually:

a. [tex](\frac{1}{108})^3 = \frac{1}{1259712}[/tex]

b. [tex](\frac{1}{9})^4 = \frac{1}{6561}[/tex]

c. [tex](\frac{1}{6})^2 = \frac{1}{36}[/tex]

d. [tex](\frac{1}{5})^2 = \frac{1}{25}[/tex]

Therefore, the correct answer is c.

Answer:

1/6 to the second power, which is the third option.

Step-by-step explanation:

I took the test.

Answer:

I think is -0.4375

Step-by-step explanation:

Answer:

C. 22.28

Step-by-step explanation:

area of square is 4*4 =16

area of half of circle is

(Pi*r²)/2 = 3.14*4/2 = 6.28

16+6.28 = 22.28

Answer:

C. 22.28

Step-by-step explanation:

 4 x 4 = 16 (Pi x r²)/2 = 3.14 x 4/2 = 6.28

16 + 6.28 = 22.28

Answer: 37/40

Step-by-step explanation: 17+8+12 out of 40 total

Answer: I don't know the options but from this situation it is 3x+2 or x=3/2

Step-by-step explanation:

You add all the x together and that's the first option second divide it so x us all by itself

Answer:

median = 80 inches

mean = 79.692 inches

typical height = 80 inches

Step-by-step explanation:

Given height

84, 80, 87, 75, 77, 79, 80, 74, 76, 80, 80, 82, 82

arranging the height in increasing order we have

74,75,76,77,79,80,80,80,80,82,82,84,87

no, of terms in the heights = 13

We know

that median for any data set is the middle number, if data is arranged in increasing order of their occurrence.

If the number of terms is odd, then median is (n+1)/2 th term

If the number of terms is even, then median is taken average of  n/2 th term and( n/2 + 1)th term .

________________________________________

since here number of term is 13.

then median will be (13+1)/2 th term

i.e 7th term

as shown above seventh term is 80.

1. What is the median?

answer: Median is 80

_____________________________________

Mean is calculated average of all the terms

mean = sum of all the terms/ number of terms

mean = 74+75+76+77+79+80+80+80+80+82+82+84+87/13

         = 1036/13 = 79.692

Thus, means is 79.692

2. What is the mean?

Answer: Mean is 79.692

3. What is the typical height of a Knicks basketball player? Explain

Answer: Typical height for basket ball player will the height which  is the most commonly occurring height in the group.

The most commonly occurring data in the data set is also called mode.

Since, in this data group 80 inches occurring most number of times i.e 4 times.

Thus, typical height of group is 80 inches.

==============================================================

Explanation:

C is at (0,0). Ignore the other points.

Reflecting over y = 1 lands the point on (0,2) because we move 1 unit up to arrive at the line of reflection, and then we keep going one more unit (same direction) to complete the full reflection transformation. I'll call this point P.

Then we reflect point P over the line x = 2 to arrive at the location Q = (4,2). Note how we moved 2 units to the right to get to the line of reflection, and then keep moving the same direction 2 more units, then we have applied the operation of "reflect over the line x = 2"

So we have started at C = (0,0), moved to P = (0,2) and then finally arrived at the destination Q = (4,2). This is the location of C' as well.

All of this is shown in the diagram below.

Answer:

[tex]f(4) = \frac{256}{3}[/tex]

Step-by-step explanation:

To find f(4), '4' will need to be substituted in place of 'x'. Therefore:

[tex]f(x)\frac{1}{3} * 4^{x}[/tex] becomes:

[tex]f(4) = \frac{1}{3}* 4^{4}[/tex]

Simplify:

[tex]f(4) = \frac{1}{3}* 256\\ \\f(4) = \frac{256}{3}[/tex]

Therefore, f(4) equals [tex]\frac{256}{3}[/tex]

Answer:

Step-by-step explanation:

Think about how many boxes he had bought, which totals to over £80 which means he had received an 8 percent discount hope this is right

Answer:

Step-by-step explanation:

The probability will be number of Yellows divided by the total number of Marbles

Here there are 3 yellows and 11 marbles in total

The probability is

3/11

Don't mention it

Volume of Big Pyramid= 324 cubic feet

Volume of small pyramid= 12

Volume of a pyramid is given as V=⅓xBasexheight

For the big pyramid

324=⅓xbasexheight

But 324= 27x12

Then for the big pyramid,

12=1/3x1/27xbasexheight

For the small pyramid

12=1/3xbasex6

Since both base are similar and from the equations derived so far

1/3x1/27xheight=1/3x6

Height=27x3x1/3x6=162feet

Answer:

It's (A) and (D) like the person in the comments said. (B) is wrong.

Step-by-step explanation:

Answer:

j2nds 3 rd

Step-by-step explanation:

Answer:

Step-by-step explanation:

First we rewrite the expression:

 3sec (x) -2 = 1

 3 (1 / cos (x)) -2 = 1

 3 (1 / cos (x)) = 1 + 2

 3 (1 / cos (x)) = 3

 (1 / cos (x)) = 3/3

 cos (x) = 1

 x = 2 * pi * n

 on the interval [0, 2pi):

 x = 0

 Answer:

 x = 0 on the interval [0, 2pi)

Answer:

73.3 years

Step-by-step explanation:

Use the Compound Amount formula:

A = P(1 + r/n)^(n*t)

Here A = 3P, r = 0.015, n = 12, and so we have:

3 = (1 + 0.015/12)^(12*t).  Find t (in years)

3 = (1.00125)^(12*t)

Take the log of both sides.  We get:

log 3 = (12*t)(log 1.00125), or  0.47712 = (12*t)(5.425*10^(-4)

                                                 0.47712

Solving this for t, we get   t = ---------------------------  =  73.3 years

                                                 (12)(5.425*10^(-4))

Answer:

B

Step-by-step explanation:

b = number of blue bikes

9 = 9 red bikes

1. "The sum of," this tells us that the answer will be addition based. Based on this information we can solve the question as there is only one answer with an addition symbol (B)

Answer:

-8

Step-by-step explanation:

47 = -7x -9

Add 9 to each side

47+9 = -7x-9+9

56 = -7x

divide each side by -7

56/-7 = -7x/-7

-8 = x

Answer: 30 white  and 20 yellow

the aswer is c and can u place mack it clear

Step-by-step explanation:

Answer:

21cm, 12cm

Step-by-step explanation:

width=x cm

length=2x-3 cm

area= 252cm²

l*b= 252 cm²

(2x-3)(x)=252

2x²-3x= 252

this is how I did it

we need to find the nearest square of the number (it should be lesser than the area)

that is 225, whose square root is 15.

since there is a coefficient to the x², the value of x would be calculate like this 15- (2+1)= 15-3 = 12

x= 12

we can verify it too,

2*(12)² - 3*12=252

288-36=252

252=252

therefore width is 12 cm and width is 2*12-3= 24-3= 21 cm

verify;

21*12= 252

252=252

hence the dimensions are 12 am (width) and 21 cm(length).

Answer:

Range: 11

Median: 3

Step-by-step explanation:

2, 2, 2, 3, 3, 6, 13

Range: Highest value - Lowest value = final answer

Median: the middle number on the data set or the listed numbers.

Range: 13 - 2 = 11

Median: 3

Answer:

a) [tex]x = 10^{18}\,\mu m^{2}[/tex], b) [tex]x = 10^{18}[/tex], c) [tex]x = 10^{21}\,\mu m^{2}[/tex], d) [tex]x = 10^{21}[/tex], e) [tex]x = \frac{1}{10^{21}}[/tex],  f) [tex]x = 10^{3}\,nm^{2}[/tex], g) [tex]x = 10^{3}\,nm^{2}[/tex]

Step-by-step explanation:

a) The product of one terameter and one micrometer is:

[tex]x = (1\,tm)\cdot (10^{12}\,\frac{m}{tm})\cdot (10^{6}\,\frac{\mu m}{m} ) \cdot (1\,\mu m)[/tex]

[tex]x = (10^{18}\,\mu m)\cdot (1\,\mu m)[/tex]

[tex]x = 10^{18}\,\mu m^{2}[/tex]

b) The quotient of one terameter and one micrometer is:

[tex]x = \frac{(1\,tm)\cdot (10^{12}\,\frac{m}{tm} )\cdot (10^{6}\,\frac{\mu m}{m} )}{1\,\mu m}[/tex]

[tex]x = \frac{10^{18}\,\mu m}{1\,\mu m}[/tex]

[tex]x = 10^{18}[/tex]

c) The product of terameter and one nanometer is:

[tex]x = (1\,tm)\cdot (10^{12}\,\frac{m}{tm})\cdot (10^{9}\,\frac{nm}{m} ) \cdot (1\,nm)[/tex]

[tex]x = (10^{21}\,nm)\cdot (1\,nm)[/tex]

[tex]x = 10^{21}\,\mu m^{2}[/tex]

d) The quotient of one terameter and one nanometer is:

[tex]x = \frac{(1\,tm)\cdot (10^{12}\,\frac{m}{tm} )\cdot (10^{9}\,\frac{nm}{m} )}{1\,nm}[/tex]

[tex]x = \frac{10^{21}\,nm}{1\,nm}[/tex]

[tex]x = 10^{21}[/tex]

e) The quotient of one nanometer and one terameter is:

[tex]x = \frac{1\,nm}{(1\,tm)\cdot (10^{12}\,\frac{m}{tm} )\cdot (10^{9}\,\frac{nm}{m} )}[/tex]

[tex]x = \frac{1\,nm}{10^{21}\,nm}[/tex]

[tex]x = \frac{1}{10^{21}}[/tex]

f) The quotient of one nanometer and one micrometer is:

[tex]x = \frac{1\,nm}{(1\,\mu m)\cdot (10^{3}\,\frac{nm}{\mu m} )}[/tex]

[tex]x = \frac{1\,nm}{10^{3}\,nm}[/tex]

[tex]x = \frac{1}{10^{3}}[/tex]

g) The product of one nanometer and one micrometer is:

[tex]x = (1\,nm)\cdot (1\,\mu m)\cdot (10^{3}\,\frac{nm}{\mu m} )[/tex]

[tex]x = 10^{3}\,nm^{2}[/tex]