There are 28 tables in the cafeteria. Each table has 12 students sitting at it. Fourth graders sit at 13 of the tables. Fifth graders sit at the rest of the tables.

How many fifth graders are there?

Answer:

P(A) = 31/1296

P(B) = 125/1296

Step-by-step explanation:

Here, we want to find P(A) and P(B)

Let’s start with A

In a roll of a die, the probability that there will be a 5 is 1/6

The probability of not having a 5 is therefore 1-1/6 = 5/6

So out of four rolls , we want to find the probability of having at least two fives

This means there could be 2, 3 or 4 fives;

For two fives;

We have 2 fives and two non-fives

= (1/6 * 1/6 * 5/6 * 5/6) = 25/1296

For 3 fives;

we have 3 fives and 1 non five

= 1/6 * 1/6 * 1/6 * 5/6 = 5/1296

For 4 fives;

= 1/6 * 1/6 * 1/6 * 1/6 = 1/1296

So the probability of at least two fives is;

1/1296 + 5/1296 + 25/1296 = 31/1296

Event B is the probability that there is at most one five among the four rolls

That means there are 3 non fives and 1 five

P(B) = 1/6 * 5/6 * 5/6 * 5/6 = 125/1296

Answer:

See explanation

Step-by-step explanation:

Required

Divide 157 by 10 repeatedly.

This is done as follows...

157 Divided by 10 = 15 Remainder 7

15 Divided by 10 = 1 Remainder 5

1 Divided by 10 = 0 Remainder 1

As per the requirement of the question, no further action or operation is required

Answer: x=12

Step-by-step explanation:

20 squared= 400 and 16 squared= 256. The Protagorean Theorm is a sqaured plus b sqaured equals c squared. You just reverse the Theorm to C sqaured minus B squared= A squared. 400-256=144 (12x12= 144)

Answer:

First, remember the definition of a vertical contraction/dilation.

If we have a function f(x), and we dilate it with a factor A, such as:

g(x) = A*f(x).

If A is larger than 1, then we are dilating the graph of f(x)

if A is smaller than 1, then we are contracting the graph of f(x).

In this case we have:

f(x) = x + 10 and g(x) = 0.3*f(x) = 0.3*x + 0.3*10 = 0.3*x + 3.

A = 0.3

then we have a contraction.

From this, we can conclude that the effects of this transformation in the graph will be that the graph of g(x) will be a vertical contraction of the graph of f(x).

(Where contracting means that in a given interval [x1, x2] the associated interval [f(x1), f(x2)] will be larger than [g(x1), g(x2)])

Below you can see both graphs, and see the difference between them, where green is f(x) and blue is g(x)

3/6 because absolute value of any number has to be positive and you have to subtract the 2 answers to find the distance

Answer:

Step-by-step explanation:

We know that ohms law is given by the expression

V=IR

In the problem, we are given that

voltage v= 17.5volts

currents I=125 amps

Substituting our data into the expression we have

17.5=125*R

R=17.5/125

R=0.14 ohms

Hence the current is 0.14 ohms

Answer:

[tex]y=x^{2} +8x+12[/tex]  is the quadratic function.

Step-by-step explanation:

We know that -6 and -2 are the zeros. So, they are both equal to x.

x = -6 and x = -2

Add them to x.

(x + 6) (x + 2)

Now, multiply the two binomials together.

[tex]x^{2} +6x+8x+12[/tex]

Combine like terms.

[tex]y=x^{2} +8x+12[/tex]

[tex]y=x^{2} +8x+12[/tex] is the answer.

Answer:

B. No, because one x-value corresponds to two different y-values.

Step-by-step explanation:

Answer:

I believe It's B

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

this is because

(10x+5-6x-2)

(10x-6x)+(5-2)

which equals 4x+3

then

(5x + 1 - (x - 2))

5x+1−x+2

(5x−x)+(1+2)

also equals

4x+3

answer: a≤ 5/3

Step-by-step explanation:

First you have to subtract 4 from both sides making: 3a≤ 9

Next you divide both sides by 3 making: a≤ 3

Answer:

55:5

121:11

Step-by-step explanation:

Answer:

$2.50tip

Step-by-step explanation:

12.50*0.20=2.50

Answer:

1- 50

2-49

3-22

Step-by-step explanation:

just add the sides that you have and then subtract the sum by 90 becasue theu are right triangles

The answer for 8 is a $27 tip

The answer for 9 is a $26.92 tip

Answer:

15 loonies = $15.00

12 quarters = $3.00

CHECK:

15+12=27

3+15=18

So there are 15 loonies :)

Answer:

42/14

Step-by-step explanation:

division is multiplication by its reciprocal so its gonna be 6/7x7/2=42/14

(simplify of course)

Answer:

The volume of the rectangular prism is 3/20 (or 0.15) mm³.

Step-by-step explanation:

The volume of the rectangular prism can be calculated as follows:

[tex] V = l*w*h [/tex]     (1)

Where:

l: is the length = 4/5 mm

w: is the width = 1/2 mm

h: is the height = 3/8 mm  

By entering the values of l, w, and h into equation (1) we can find the volume:

[tex] V = l*w*h = \frac{4}{5} mm*\frac{1}{2} mm*\frac{3}{8} mm = \frac{3}{20} mm^{3} = 0.15 mm^{3} [/tex]

Therefore, the volume of the rectangular prism is 3/20 (or 0.15) mm³.

I hope it helps you!

Answer:

I'm pretty sure its 0...since anything multiplied by zero is 0

Answer:

Sorry you will have to clarify more on the width I do not under stand :/

Step-by-step explanation:

Answer: A=14

Step-by-step explanation: 1 foot = 12 inches so 30 feet = 20 inches which is 30 - 10 so 24 - 10= 14

Answer:

C does not represent a function

Step-by-step explanation:

you find 2 for each y- coordinate. Whenever you have a reputation in number for y axis means its not a function

Complete Question

The complete question is shown on the first uploaded image

Answer:

The expression are

        [tex]\Delta E  = \Delta E _1 + \Delta E_2[/tex]

and

     [tex]\Delta E  = \Delta E _3 + \Delta E_4[/tex]

Step-by-step explanation:

Generally from the diagram  the energy change from state A to  state B is  

        [tex].\  \ \Delta E_2 \ \ \ \ \  \  \ \ \Delta E_2  \\A  \ \ \to \ \ \  C \ \ \ \to \ \ \  B\\[/tex]

Also  

[tex].\  \ \Delta E_3 \ \ \ \ \  \  \ \ \Delta E_4  \\A  \ \ \to \ \ \  D \ \ \ \to \ \ \  B\\[/tex]

So  two expressions for the difference in internal energy between state a and state b are  

      [tex]\Delta E  = \Delta E _1 + \Delta E_2[/tex]

and

     [tex]\Delta E  = \Delta E _3 + \Delta E_4[/tex]

Answer:

True

Step-by-step explanation:

5 times 3 equal 15. 15 minus 3 equals 12

Answer:

x= -11

Step-by-step explanation:

Use Math  way.

Answer:

Which equation is true when the value of x is -12    HERE YOU GO!!

Step-by-step explanation:

tricky ... let's see ...

I notice that if we subtract xy from both sides we get

7x + xy - xy = xy - xy + 21

then

7x = 21

and

x = 21/7 = 3

so there is only one value of x that satisfies the equation

x = 3

Going back to the original equation we see that any value of y will satisfy the original equation

we can see this by rearranging things:

7x + xy - xy = 21

here, I have performed the subtraction of xy on the right side as above, but have left the left side undone

(so we don't lose the presence of y)

Note that the above can also be written as

7x + (x - x)y = 21

or

7x + 0y =21

now, since anything times zero equals zero,

y may be any number.

Let's summarize:

1) x = 3

2) y = anything

looking back at the original question;

1) the equation is true for all ordered pairs

FALSE (only one x works, not all x)

2) there are no x and y pairs for which the equation is true.

FALSE (x=3, y=anything) makes it true, i.e. (3,1)  

3) For each value of x, there is one and only one value of y that makes the equation true,

FALSE for each value of x, for the one value of x, x=3, y can be any number, which is an infinite number, not one

4) for each value of y, there is one and only on value of x that makes the equation true.

TRUE!! for all the infinite values of y you may pick, there is one and only one x you may pick, x = 3

ANSWER: STATEMENT 4 is CORRECT (TRUE)

Answer:

3(3+7)

Step-by-step explanation: you factor out the greatest common multiple. 3 times 3 is 9 and 3 times 7 is 21

Answer:

Area =  [tex]L x W[/tex]

=  [tex]99 by 99[/tex]

=  [tex]9801 feet2[/tex]

-BBBM

Answer:

Technically, it already works because you have $16.15

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

according to the pythagorous theorem

Answer:

t=2/f-5

Step-by-step explanation:

2/t=f-5

or,2=(f-5)/t

t=2/(f-5)