Ask question

Ask question

All categories

Varvara68 [4.7K]

3 years ago

13

Ben rolls two standard number cubes 36 time. predict how many time he will roll a sum of four.

1 answer:

rusak2 [61]3 years ago

6 0

You can make a 6 x 6 square to illustrate the probabilities

1 2 3 4 5 6
1 2 3 4 5 6 7
2 3 4 5 6 7 8
3 4 5 6 7 8 9
4 5 6 7 8 9 *
5 6 7 8 9 * &
6 7 8 9 * & $

* =10, & =11, $ = 12, I wanted maintain spacing

There are 3 4's. So it is 3/36 chance, which is 1/12 chance.

You might be interested in

If a cyclist increases his speed by 3 miles per hour, he can reduce the time required for a 6 mile trip by 10 minutes. What is t

raketka [301]

Answer:

Slower speed = 9 mph

Step-by-step explanation:

Let the initial speed (slower speed) = s mph

Speed 's' = $\frac{\text{Distance}}{\text{Time}}$

s = $\frac{6}{t}$ -------(1)

If the cyclist increases the speed by 3 mph then the final speed = (s + 3) mph

He can reduce the time 't' by 10 minutes ( $\frac{1}{6}$ hours)

Now, (s + 3) = $\frac{6}{t-\frac{1}{6}}$

s + 3 = $\frac{36}{6t-1}$ --------(2)

Substitute the value of 's' from equation (1) to the equation (2).

$\frac{6}{t}+3=\frac{36}{6t-1}$

$\frac{2}{t}+1=\frac{12}{6t-1}$

$\frac{2}{t}-\frac{12}{6t-1}=-1$

$\frac{2(6t-1)-12t}{t(6t-1)}=-1$

$\frac{12t-2-12t}{t(6t-1)}=-1$

$-\frac{2}{t(6t-1)}=-1$

6t² - t = 2

6t² - t - 2 = 0

6t² - 4t + 3t - 2 = 0

2t(3t - 2) + 1(3t - 2) = 0

(2t + 1)(3t - 2) = 0

t = $-\frac{1}{2},\frac{2}{3}$ hours

But the time can't be negative.

Therefore, t = $\frac{2}{3}$ hours is the answer.

From equation (1),

s = $\frac{6}{\frac{2}{3}}$

s = 9 miles per hour.

Slower speed = 9 mph is the answer.

6 0

3 years ago

(-1)+(-5)= please answer

vichka [17]

Answer:

-6

Step-by-step explanation:

→ Remove the brackets

-1 - 5

→ Simplify

-6

4 0

3 years ago

Read 2 more answers

What is the sum of -2.8 and +3.6

Juli2301 [7.4K]

Answer:

0.8

Step-by-step explanation:

-2.8 + 3.6 = 0.8

6 0

3 years ago

Read 2 more answers

Solve for x. Round to the nearest hundredth

PIT_PIT [208]

Given that the length of one leg is 6 and the angle is 40°

The hypotenuse is x.

We need to determine the value of x.

<u>Value of x:</u>

The value of x can be determined using the trigonometric ratio.

Thus, we have;

$cos \ \theta=\frac{adj}{hyp}$

Substituting the values, we get;

$cos \ 45^{\circ}=\frac{6}{x}$

Simplifying, we have;

$x=\frac{6}{cos \ 45^{\circ}}$

$x=\frac{6}{0.766}$

Dividing, we get;

$x\approx7.83$

Therefore, the value of x is 7.83(app.)

Hence, Option A is the correct answer.

3 0

3 years ago

F(x) = -x^2 + 5x – 2<br> Find f(-4)

disa [49]

Answer:

2

Step-by-step explanation:

if f(4), than -4^2=-16

5(4)=20

-16+20-2=2

8 0

3 years ago