2. A number cube is labelled 1 to 6
The cube is rolled 60 times.
Predict how many times each outcome will occur.
Explain each answer.
a) 1 is rolled.
b) An even number is rolled
c) A number greater than 3 is rolled.
d) 9 is rolled.
I

Answer:

(a) Output = 37

(b) Input = 9

Step-by-step explanation:

Given

[tex]y =x5 - 3[/tex]

Solving (a): Output, when input = 8

This means that, we solve for y when x = 8

So, we have:

[tex]y =x5 - 3[/tex]

[tex]y =8*5 - 3[/tex]

[tex]y =40 - 3[/tex]

[tex]y = 37[/tex]

Solving (b): Input, when output = 42

This means that, we solve for x when y = 42

So, we have:

[tex]y =x5 - 3[/tex]

[tex]42 = x5 - 3[/tex]

Collect like terms

[tex]x5 = 42 + 3[/tex]

[tex]x5 = 45[/tex]

Divide both sides by 5

[tex]x = 9[/tex]

Answer:

3/10

Step-by-step explanation:

y2 - y1 / x2 - x1

4 - 1 / 4 - (-6)

3/ 10

Answer:

Step-by-step explanation:

y1-y2

--------

x1-x2

so

and (x1,y1) and (x2,y2) are those points so plug it in

(1-4)/(-6-4) so that simplifies to -3/-10 so just 3/10 is the slope.

Hope this helps!

Answer:

[tex]2^2+2+6^2[/tex]

Step-by-step explanation:

Answer:

3/5

Step-by-step explanation:

there are 5 cards and chances of picking 4 or 7 which are three cards (since there are two 7s) gives u a probability of 3/5 or 60% chance.

Answer:

-3/2

Step-by-step explanation:

Answer:

Mean = 78 ;

Standard deviation = 14

Step-by-step explanation:

Given that:

Mean score = 68

Standard deviation = 14

When a constant value is added to the individual value of a dataset, the new mean value will become the sum of the initial mean value and the constant term added to the values.

Constant Added score = 10

The mean of scaled test score will be:

Mean score + constant added score

68 + 10 = 78

The standard deviation remains unchanged ; Hence, standard deviation = 14

Answer:

B)

Step-by-step explanation:

to get the converse, interchange the hypothesis and conclusion

in this case the hypothesis is "if it is snowing" and the conclusion is "then it is my birthday"

Converse would then be "If it is my birthday, then it is snowing"

Answer:

Perimeter of PQR = 37 units (Approx.)

Step-by-step explanation:

Using graph;

Coordinate of P = (-2 , -4)

Coordinate of Q = (16 , -4)

Coordinate of R = (7 , -7)

Find:

Perimeter of PQR

Computation:

Distance between two point = √(x1 - x2)² + (y1 - y2)²

Distance between PQ = √(-2 - 16)² + (-4 - 4)²

Distance between PQ = 18 unit

Distance between QR = √(16 - 7)² + (-4 + 7)²

Distance between QR = √81 + 9

Distance between QR = 9.48 unit (Approx.)

Distance between RP = √(7 + 2)² + (-7 + 4)²

Distance between RP = √81 + 9

Distance between RP = 9.48 unit (Approx.)

Perimeter of PQR = PQ + QR + RP

Perimeter of PQR = 18 + 9.48 + 9.48

Perimeter of PQR = 36.96

Perimeter of PQR = 37 units (Approx.)

Answer:

the answer is

52 square feet

Answer:

8

Step-by-step explanation:

4³ ÷ 2³

= 64 ÷ 8

= 8

Answer:

the answer is D have a good day

Answer:

35 or -35

Step-by-step explanation:

i have no idea what u mean by value, so it's either 35, because of absolute value, or -35.

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hope it helps

Answer:

Ask properly! Question is not clear!

Answer: Por ejemplo, un televisor podría costarle originalmente $ 5000. Determine el porcentaje de descuento: en nuestra tienda de ejemplo, todo tiene un 75% de descuento. La suma que queda en su bolsillo, sus ahorros, es simplemente estos dos valores multiplicados entre sí: 75% * $ 5000 = 0,75 * $ 5000 = $ 3750.

Answer:

33.69

Step-by-step explanation:

Answer:

Step-by-step explanation:

tan (?) = 2/3

On the calculator do tan^(-1)=2/3

you get around 33.69 degrees

Answer:

0.027

Step-by-step explanation:

0.1×0.1×0.1=0.027----->2.7×10^-2

Answer:

4 hours

Step-by-step explanation:

If it took them together with a total of 6 hours and Oliver is half as fast meaning Jose is faster it will take Jose 4 hours.

A simple equation is

6= 4+2

And the 2 would be Oliver since Oliver is half as fast.

Step-by-step explanation:

TPC and DPC are supplementary angles so

DPC=180-123=57°

Answer:

m arc BDT = 270°

Step-by-step explanation:

m arc BDT = 360° -90° = 270°

________________

Answer:

1st One: 12

2nd One: 27.3

Step-by-step explanation:

Both shapes- from what I can see- are right triangles. This means each shape is 90 degrees. If you subtract the given number by 90, you'll have your missing value :)

Answer:

2-Angle V= 90-78=12°

4-Angle Y= 90-62.7=27.3°

Answer: C

Step-by-step explanation:

The two lines meet at (3,2). always read these things by doing the horazontal line and then the vertical one.

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

Explanation:

The quotient is the result after a division problem.

As another example, we would say that 9 is the quotient of 27 and 3 because 27 ÷ 3 = 9

We can use the slash symbol / to mean division. So we could say 27/3 = 9

Going back to the answer, we could rewrite j ÷ 9 as j/9

The order is important. This means j ÷ 9 is different from 9 ÷ j which represents "the quotient of 9 and j".

Answer:

She will need 21.3 total wire.

Answer:

21.26 ft

Step-by-step explanation:

For calculating, you need to use the Pythagorean theorem:

length of one cable = [tex]\sqrt{7^2+8^2}[/tex]= 10,63 ft

length of two cable = 10,63*2 = 21,26 ft

Answer:

babylonia asyria and south merica this

Answer:

Locate two corresponding ordered pairs of the two shapes. Calculate how much the pre-image values were multiplied by to obtain the image values. This is your scale factor. You can calculate this by dividing the coordinates of the mage by the corresponding coordinates of the pre-image.

Step-by-step explanation:

Answer:

Area = B x H + L (sum of sides of triangle)

        = 9 x 12 + 10 (12 + 15 + 9)

        = 108 + 360

        =[tex]468in^2[/tex]

Either your options are wrong or question is to find lateral surface.

Lateral Surface area = ( a + b + c) x H , where a, b , c are sides of the triangle.

Lateral Surface Area = (12 + 15 + 9) x 10

                                =[tex]360in^2[/tex]                    

Answer:

17.50

Step-by-step explanation:

you really don't need to know the tax amount.

20% of x = 3.50

(20/100) x = 3.50  Divide top and bottom of the left number by 20

(20÷20) / (100÷20)  *  x = 3.50

(1/5) x = 3.50           Multiply both sides by 5  

x = 3.50 * 5

x = 17.50

The meal cost 17.50

HOPE THIS HELPS

Answer:ik i am late but it is 4.4 for the people that need it now

Step-by-step explanation:

Option B is your answer

✄--------------

[tex]Min=2[/tex]

[tex]Q1=4[/tex]

[tex]Median=6[/tex]

[tex]Q3=8[/tex]

[tex]Maximum=11[/tex]

Answer:

1230.88

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h where r is the radius and h is the height

V = (3.14) * (7)^2 * 8

V = 3.14 * 49*8

V =1230.88