In a certain Algebra 2 class of 24 students, 6 of them play basketball and 16 of them play baseball. There are 6 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?

Answer:

We are looking for 2 numbers that have a product of 72 and a sum of 17. These 2 numbers are 9 and 8. Therefore, the factored version would be (z + 9)(z + 8), or A.

Hope this helps!

Answer:

39200

Step-by-step explanation:

Revenue = number of cameras * cost

R(m) = N(m) * C(m)

        = (50m+600) * (4m^2-15m+45)

The months since may is June July August September = 4 months

R(4) = (50*4+600) * (4*4^2-15*4+45)

        (200+600) * (64-60+45)

           800*49

                39200

Answer:

39,200

Step-by-step explanation:

September is 4 months after may, so m = 4

No. of cameras:

N(4)=50(4)+600 = 800

Cost per camera:

C(4)=4(4²)-15(4)+45 = 49

Total cost:

N × C

800 × 49

39200

Answer:

slope = -4

y-intercept = -10

Step-by-step explanation:

First, isolate the y. Note the equal sign, what you do to one side, you do to the other. Subtract 4x from both sides:

4x + y = -10

4x (-4x) + y = -10 (-4x)

y = -4x - 10

Note the slope intercept form: y = mx + b

y = y

m = slope = -4

x = x

b = y-intercept = -10

Answer:

slope m=-4

y intercepts (0,-10)

Step-by-step explanation:

Answer:

Domain- {-2,2}

Range-{-3,2}

Step-by-step explanation:

Find each boundary of the line and make the corresponding points because its a continuous line.

Answer: On a coordinate plane, a curve crosses the y-axis at (0, 0). It has a maximum of 1 and a minimum of negative 1. it goes through 2 cycles at 8 pi.

Step-by-step explanation:

The function is y = sin(0.5*x)

We know that sin(0) = 0, so this graph must pass trough the point (0,0)

We know that the maximum of the sin(x) is 1, when x = pi/2. and the minimum is -1 when x = (3/2)*pi

but in our case the function is valuated in 0.5*x

then the maximum is when:

0.5*x = pi/2

x = pi/(2*0.5) = pi

and the minimum is when

0.5*x = (3/2)*pi

x = 3*pi

Now, knowing that sin(2*pi) = 0

The other 0 of the sin is when we have 0.5*x = 2*pi

x = 2*pi/0.5 = 4*pi

this means that in 4*pi we have one cycle, then in 8*pi we have tow cycles.

Then the correct option is:

"On a coordinate plane, a curve crosses the y-axis at (0, 0). It has a maximum of 1 and a minimum of negative 1. it goes through 2 cycles at 8 pi."

Answer:

d

Step-by-step explanation:

Answer:

one package = $5. / double package= $14

Step-by-step explanation:

Lets say x is a package and y a double package

6x + 4y = $86

2(3x + 5y = $85)

6x + 10y = $170

-6x -4y. -86

6y = $ 84

÷6. ÷6

y= $14

6x +4y = $86

6x + 4($14) = $86

6x + $56 = $86

-56. -56

6x = $30

÷6. ÷6

x = $5

Answer:

chocolate chip = 5

double chocolate chip=14

Step-by-step explanation:

c = chocolate chip

d = double chocolate chip

Brenda

6c+4d = 86

Jasmine

3c+ 5d = 85

Multiply the second equation by -2

-6c -10d = -170

Add this to the first equation

-6c -10d = -170

6c+4d = 86

--------------------

   - 6d = -84

Divide by -6

-6d /-6 = -84/-6

d =14

Now we can find c

3c+ 5d = 85

3c+5*14 = 85

3c +70 = 85

Subtract 70

3c = 85-70

3c = 15

Divide by 3

3c/3 = 15/3

c = 5

Answer:

  512

Step-by-step explanation:

You can figure this a couple of ways.

1) Figure the number of muffin boxes that goes into each dimension of the larger box:

  (2 ft)/(3 in) = (24 in)/(3 in) = 8 . . . . muffin boxes in each direction.

Then the total number of muffin boxes that will fit in a larger box is ...

  8×8×8 = 512

512 muffin boxes can fit into the larger box.

__

2) The volume of a muffin box in cubic feet is ...

  ((3 in)/(12 in/ft))^3 = (1/4 ft)^3 = 1/64 ft^3

The volume of a larger box in cubic feet is ...

  (2 ft)^3 = 8 ft^3

Then the number of smaller boxes that will fit in the larger box is ...

  (8 ft^3)/(1/64 ft^3) = 8×64 = 512

512 muffin boxes can fit into the larger box.

Answer:

There is a 1/3 chance of getting a hobbit, and a 0.1/11 chance of getting an umbrella.

Answer:

0.80x dolllars

Step-by-step explanation:

20% discount of the total amount is

0.20 * x dolllars

So if you start with x dollars you need to subtract the discount to get the new (lower ) price.

x - (0.20 * x) dolllars

1* x - 0.20 * x

x * 1 - 0.20 * x

x * ( 1 - 0.20 )

x * ( 0.80 )

0.80x dolllars

Answer:

in the ordered pair, (0,4), the zero represents the x number, meaning that you would not move in any direction on the x axis( it stays on the origin). the 4 means you will move 4 units up the y axis. in the end you will have one point that in 4 units up from the origin.

Step-by-step explanation:

Answer:

The number of batches of paving stones Eric needs is 5 batches

Step-by-step explanation:

Here we have the size of of one paving stone = 1 ft²

The dimensions, size, of one patio = 7 ft × 8 ft = 56 ft²

Therefore, the number of paving stones Eric needs per patio is given by the relation;

[tex]Number\, of\ paving\ stones \ required =\frac{size\, of \, one\, patio}{size \, of \, one\, paving\, stone} = \frac{56 \, ft^2}{1 ft^2/(paving \, stone)} = 56 \, paving \, stones[/tex]

Since the paving stones are sold in batches of one dozen, we have ;

4 batches = 48 paving stones and 5 batches = 60 paving stones

Therefore, the number of batches of paving stones Eric needs = 5 batches.

Answer:

-4y - 7

Step-by-step explanation:

−4y−4+(−3)

Combine like terms

-4y - 7

Answer:

5

Step-by-step explanation:

y= 4+ 4 - 3

Answer: it’s answer C.

Step-by-step explanation: 708.6 ÷ 6 = 118.1(0)

Answer:

c

Step-by-step explanation:

Answer:

9,216π or 28,938.2 meters³

Step-by-step explanation:

Given: diameter 48 inches

Radius 24 inches

Note:

Volume of hemisphere = volume of sphere / 2

Volume of hemisphere = 1/2 • 4/3 • πr³

= 1/2• 4/3×π×24³

= 1/2•18432π

= 9,216π

= 28,938.2 meters³

Answer:

728

Step-by-step explanation:

2+6+18+...+486

a=2

r=6/2=3

[tex]a_{n}=ar^{n-1}\\486=2(3)^{n-1}\\3^{n-1}=486/2=243=3^5\\n-1=5\\n=5+1=6\\S_{6}=2\frac{3^6-1}{3-1} \\=2\frac{729-1}{2}\\=728[/tex]

Answer:

surburu

Step-by-step explanation:

Answer:

B. [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

I got this question correct. :)

P(Surfed|Snowboarded) = P(Surfed and Snowboarded) / P(Snowboarded)

P(B|A) = [tex]\frac{36}{48}[/tex] = [tex]\frac{3}{4}[/tex]

Apologies for lack of explanation, but I think this will do it.

Answer:

38

Step-by-step explanation:

3 x {10 +1} +5.

PEMDAS

Parentheses first

3 x {11} +5.

Then multiply and divide

33+5

38

Answer:

38

Step-by-step explanation:

3 x {10 +1} +5             Following PEMDAS, solve in the parentheses

3 x 11 + 5                   Multiply 3 x 11

33 + 5                       Add

38

Answer:

The answer would be {y|y>0}

Step-by-step explanation:

hope this helps

Answer:

c=13

Step-by-step explanation:

You then square root both sides of the equation and the square root of 169 is 13.

Hope this helps! :)

Answer:

c is 13

Step-by-step explanation:

trust me bro

Answer:

$93,996

Step-by-step explanation:

i = prt

i = ($53,712)(.15)(5)

i = $40, 284

$40, 284 + $53,712

$93,996

Answer:

$92996

Step-by-step explanation:

Using the given formula :

I = P × R × T

I = 53712 × 15/100 × 5

I = $40284

He has = 40284 + 53712 = $93996

Answer:

720

Step-by-step explanation:

125tablets, 2 of which had broken screens.

multiply 45000 by 2, then divide 125=720

Answer:

720

Step-by-step explanation:

125 tablets, 2 of which had broken screens.

Multiply the 45,000 by 2, then divide by 125.

So therefore, the answer is 720.

Answer:

52

Step-by-step explanation:

39, 40, 44, 49, 50, 54, 56, 61, 62, 68

39, 40, 44, 49, 50, 54, 56, 61, 62, 68

[tex]\frac{50 + 54}{2}[/tex] = [tex]\frac{104}{2}[/tex] = 52

Answer:

52

Step-by-step explanation:

Answer:

287.64

Step-by-step explanation:

2πrh is the formula you use for the lateral surface area.

to get radius, we know its half of the diameter so 4.2.

plug them in and you get your answer :)

Answer:

0.52 cubic inches

Step-by-step explanation:

Given: circumference of a basketball is 31.4 inches.

[tex]\pi =3.14[/tex]

To find: basketball's volume to the nearest cubic inches

Solution:

circumference of a basketball (sphere) = 6.28(radius)

Also, circumference of a basketball = 31.4 inches.

So, 6.28(radius) = 3.14

radius = [tex]\frac{3.14}{6.28}=\frac{1}{2}[/tex] inch

Volume of the basketball (sphere) = [tex]\frac{4}{3}(\pi )(radius)^3=\frac{4}{3}(3.14)(\frac{1}{2})^3=0.52\,\,cubic\,\,inches[/tex]

Answer:

$25+$45=$70

Step-by-step explanation:

The only thing you have to do is add $25 and $45 hope this helps :)

Answer:

x+y= idk

Step-by-step explanation:

sorry i need the points

Answer:

15

Step-by-step explanation:

so you know that the hypotenuse for the triangle with "x"'s is 5 square root two, and because we know that the triangle is an isoceles triangle we know the other two side are equal and as a result x=5. Now for the next triangle it is 5 square root 2 on both sides and that is also an isoceles triangle and y is the hypotenuse so it 5 square root 2 times square root 2 which just becomes 2 so then it is 5 times 2 which is 10. So Y=10 and X=5 so X+Y=15.

Answer:

2.24

Step-by-step explanation:

If you mean sqrt(5), then the answer is 2.236, which rounds to 2.24

I'm going to assume you mean √5.

√5 is not a perfect square but it can evaluated into a non-terminating decimal.

√5 = 2.23606797...

Round to the nearest hundredth.

2.23606797... → 2.24

Therefore, the answer is 2.24

Best of Luck!