If two 12-sided dice are rolled, what is the probability that both numbers will be even?
ANSWERS:
1/2
73/144
1/4
71/144

Answer:

Explained below.

Step-by-step explanation:

(1)

Sample space is a set of all possible outcomes of an experiment.

The sample space in this case is:

S = {HF, HW, MF, MW}

(a)

Compute the value of P (W) as follows:

P (F) + P (W) = 1

P (W) = 1 - P (F)

P (W) = 1 - 0.50

P (W) = 0.50

(b)

Compute the value of P (MF) as follows:

P (HF) + P (MF) = P (F)

P (MF) = P (F) - P (HF)

P (MF) = 0.50 - 0.20

P (MF) = 0.30

(c)

Compute the value of P (M) as follows:

P (M) = P (MF) + P (MW)

P (M) = 0.30 + 0.10

P (M) = 0.40

Compute the value of P (H) as follows:

P (H) + P (M) = 1

P (H) = 1 - P (M)

P (H) = 1 - 0.40

P (H) = 0.60

9514 1404 393

Answer:

  8

Step-by-step explanation:

Let s represent the number of problems Coach South solved. Then Mr Dr Coach Rhodes solved ...

  2s +4 = 20

  2s = 16

  s = 8

Coach South solved 8 problems.

Answer:

An inequality 'c ≥ 5' represents this situation.

Step-by-step explanation:

We know that the inequality symbol '≥' represents 'at least'.

For example, 'x≥y' means 'x' is greater than or equal to b. It means 'x' is at least equal to 'y'.

Let 'c' represent the number of minivans sold each week.

As a car dealer ship sells at least 5 minivans. It means the dealer can also sell more than 5.

i.e. c ≥ 5

Therefore, an inequality 'c ≥ 5' represents this situation.

Answer:

The answer is 86.08, hope this helps.

Step-by-step explanation:

Answer:

$86.08

Step-by-step explanation:

If Dan makes $5.38 for HALF an hour how much does he make for a full hour? He makes $10.76 for an entire hour.

$10.76 x 8= $86.08

Answer:

For 20  t shirts  the weight is 2900 grams

and for 25 t- shirts the weight is 3562.5 gms  

Step-by-step explanation:

W = 250 + 132.5T

1) If we know the total weight we can find the number of t- shirts and

2) if the number of shirts are known the total weight can be calculated.

For example if the expression W= 250 + 132.5T is written like is written like

2900 = 250 + 132.5T

2900-250 = 132.5T

T = 2650/132.5= 20 shirts

Similarly if we have 25 t- shirts then the weight would be

W = 250 + 132.5(25)

W= 250+ 3312.5=  3562.5 gms  

Answer:

x=3

Step-by-step explanation:

2x - 1.50 = 1.50x

.50x = 1.50

x=3

the answer is m = 0. i hope this helps-

Step-by-step explanation:

Given equations:

       y  = x² + 3x - 29    ------ (i)

       y  = 2x - 9  ---------------- (ii)

Now to solve this problem, we must determine the value of x and y;

 Equate equations 1 and 2;

       x² + 3x - 29 = 2x - 9

       x² + 3x - 2x - 29 + 9  = 0

       x² + x - 20  = 0

       x² + 5x - 4x - 20  = 0

       x(x + 5 ) - 4(x + 5) = 0

      (x - 4) (x+ 5) = 0

       x  - 4  = 0 or x + 5  = 0

      x  = 4 or x = -5;

So;   solve for y now;

     y = 2x - 9

     input x  = 4 or x = -5;

    y  = 2(4) - 9 or y = 2(-5) - 9

    y = -1 or y = -19

Step-by-step explanation:

V15 is rational ( contradiction method). V15=a/b (a and b are not common factor). squaring on both sides, we get, 15= a^2/b^2. 15b^2=a^2 (a=15c) b^2=15/a^2 (assume, a^2 =225c^2) 15b^2=225c^2 b^2=225c^2/15 b^2=15c^2 c^2=15/b^2 c =15/b. 15 divided both a and b which is a contradiction. ie, is irrational.

Answer: there is no question. Its empty

Step-by-step explanation:

Answer:

with what

Step-by-step explanation:

Answer:

F(1) represents the first term of the sequence.

Step-by-step explanation:

Let us suppose the sequence function

[tex]F(n) = 16-3n[/tex]

We can find the first term of the sequence by substituting n=1 in the function sequence

[tex]F(1) = 16-3(1)[/tex]

        [tex]= 16-3[/tex]

        [tex]=13[/tex]

We can find the 2nd term of the sequence by substituting n=2 in the function sequence

[tex]F(2) = 16-3(2)[/tex]

        [tex]= 16-6[/tex]

        [tex]=10[/tex]

We can find the 3rd term of the sequence by substituting n=3 in the function sequence

[tex]F(3) = 16-3(3)[/tex]

        [tex]= 16-9[/tex]

        [tex]=7[/tex]

So the first three terms of the sequence is:

13, 10, 7...

As the common difference is the same.

i.e. d = 10-13 = -3, d = 7-10 = -3

Hence, it is an Arithmetic sequence.

As the first term is 13, which can be obtained by putting n=1 in the function sequence.

Therefore, from the above discussion, we can conclude that F(1) represents the first term of the sequence.

Answer:

1/q^30

Step-by-step explanation:

Simplified

Answer:

Step-by-step explanation:

25.30*8% tax = 2.02 tax

total 25.30+2.02= $27.32

Answer:

$27.32

Step-by-step explanation:

Multiply $25.30 by 0.08 (8% is equal to 0.08)

2.024

Add 2.024 to $25.30

That would be 27.324

Round to the nearest hundredth

$27.32

Hope this helps :)

Please consider Brainliest :)

Answer:

20

Step-by-step explanation:

first take out the cost of the cup 31.75-6.75=25

then divide by the cost of the refills 25/1.25=20

hope this helps :)

Answer:

Answer:

The probability of obtaining the sum of 10 is 1/12 or 0.0833

Step-by-step explanation:

Given

2 fair dice

Required

Probability of obtaining the sum of 10

To solve this, we have to list out the sample space.

Sample space is the total possible sum that can be obtained when she rolls the dice.

Let the first die be represented with S1 and the second be represented with S2.

S1 = {1,2,3,4,5,6}

S2 = {1,2,3,4,5,6}

To get the sample space, we have to add individual elements of S1 and S2.

This is done as follows.

When S1 = 1 and S2 = {1,2,3,4,5,6}

Sum = 1+1, 1+2, 1+3, 1+4, 1+5, 1+6

Sum = 2, 3, 4, 5, 6, 7

When S1 = 2 and S2 = {1,2,3,4,5,6}

Sum = 2+1, 2+2, 2+3, 2+4, 2+5, 2+6

Sum = 3,4,5,6,7,8

Using the same pattern as used above

When S1 = 3 and S2 = {1,2,3,4,5,6}

Sum = 4,5,6,7,8,9

When S1 = 4 and S2 = {1,2,3,4,5,6}

Sum = 5,6,7,8,9,10

When S1 = 5 and S2 = {1,2,3,4,5,6}

Sum = 6,7,8,9,10,11

When S1 = 6 and S2 = {1,2,3,4,5,6}

Sum = 7,8,9,10,11,12

Writing out the Sum, will give us the sample space.

Sample Space = {2, 3, 4, 5, 6, 7, 3, 4, 5, 6, 7, 8, 4, 5, 6, 7, 8, 9, 5, 6, 7, 8, 9, 10, 6, 7, 8, 9, 10, 11, 7, 8, 9, 10, 11, 12}

The sample space has a total of 36 elements

To calculate the probability of obtaining the sum of 10,

We have to count the number of 10's in the sample space

Number of 10 = 3

Probability = Number of 10 / Number of Sample Space

Probability = 3 / 36

Probability = 1/12

Probability = 0.0833

Hence, the probability of obtaining the sum of 10 is 1/12 or 0.0833

Answer:

4

Step-by-step explanation:

4444

Answer:

55

Step-by-step explanation:

If the can holds 1/5 of a gallon, he will have to fill it up 5 times to fill 1 gallon of the tank. Since the tank holds 11 gallons, he will have to fill up the can 5 × 11 = 55 times.

Answer:

3 x 108 =324 United States

4 x 107 =428 california

Step-by-step explanation:

United States is 3 times greater while california is 4 time greater

Answer:

20 men will paint the same wall in 3/4 hours.

Step-by-step explanation:

Given information is:

5 men paint a wall in 3 hours

Let x be the number of men

It is also mentioned that the rate will be same with x men. So we have to put both the rates/proportions equivalent to find the number of men.

So,

[tex]men * hours = men*hours\\5*3 = x*\frac{3}{4}\\15 = \frac{3}{4}x\\x = \frac{4}{3} * 15\\x = 20[/tex]

Hence,

20 men will paint the same wall in 3/4 hours.

Answer:

8.517 in expanded form is 8*1) + (5*0.1) + (1*0.01) + (7*0.001). 8.517 in word form is eight and five hundred seventeen thousandths.

Answer:

8x

Step-by-step explanation:

it's the slope

y = 8x or y = 8/1x

Do not place /1.

The system understands that there is a invisible 1 that's how all whole number can turn into equations.

The +7 at the end effectively adds 7 to each y coordinate output, which is why the entire graph shifts up 7 units. For instance, a point like (1,2) moves to (1,9) after shifting up 7 units.

Side note: The function f(x)=⌈x⌉ is the ceiling function. It takes any decimal value and rounds it up to the nearest whole number. If you had an input like x = 2.01 then the output would be y = 3 even though 2.01 is closer to 2 than it is to 3.

Answer: A) shift up 7 units

Step-by-step explanation:

The +7 at the end effectively adds 7 to each y coordinate output, which is why the entire graph shifts up 7 units. For instance, a point like (1,2) moves to (1,9) after shifting up 7 units.

Side note: The function f(x)=⌈x⌉ is the ceiling function. It takes any decimal value and rounds it up to the nearest whole number. If you had an input like x = 2.01 then the output would be y = 3 even though 2.01 is closer to 2 than it is to 3.

Answer:

-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

178/890= .2 or 20%

Answer:

It is 11 and 4/7 I am pretty sure hope I helped!

Answer:

Horizontal line ⇒ y = -4

Vertical line ⇒ x = -3

Step-by-step explanation:

∵ A horizontal line passes through the point (-3, -4)

→ That means the y-coordinates of all points on the line have

   the same value

∴ The equation of the line is y = -4

∵ A vertical line passes through the point (-3, -4)

→ That means the x-coordinates of all points on the line have

   the same value

∴ The equation of the line is x = -3

Answer:

B

Step-by-step explanation:

Answer:

B is correct

Step-by-step explanation:

√5 ≈ 2,24

since it is - √5 the answer must be -2,24 so B is correct

7. c

8. d

those are the answers

114 + 70 + n ≥ 200

184 + n ≥ 200

n ≥ 200 -184

n ≥ 16