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3 years ago

8

You roll a fair six-sided die twice. Find the probability of rolling a 2 the first time and a number greater than 6 the second t

ime.
can you explain the steps

1 answer:

borishaifa [10]3 years ago

8 0

Answer:

the number 2 is present on one side of the six-sided die giving you a 1 in 6 chance of rolling a 2.

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Ber [7]

live to be 80 years old and sleep 8 hours a day, How many years have I slept

Solution

A day has 24 hours

24 = 8 + 8 + 8

So you spent 1/3 of your time sleeping.

You can get the same answer if you do 8/24

8/24 = (8 ÷ 8) / ( 24 ÷ 8) = 1/3

All you need to do now is to find 1/3 of 80

1/3 of 80 = 1/3 × 80 = 80/3

80 / 3 = (78 + 2) / 3 = 78 / 3 + 2 / 3 = 26 + 2/3

So that is 26 years + ( 2/3 of a year)

What is 2 / 3 of a year?

Since 2 /3 of a year is a fraction of a year, the answer for 2 / 3 of a year will be in months.

1 year = 12 months.

Just find out what 2/3 of 12 is

2/3 of 12 is 2/3 times 12

2/3 times 12 = (2 times 12) / 3 = 24 / 3 = 8 months

Putting everything together, you slept for 26 years and 8 months during your lifetime.

Hope it helped!

8 0

3 years ago

Find the area 12ft 12ft

Svetlanka [38]

144 square feet
12 x 12 = 144

7 0

3 years ago

Read 2 more answers

David wants to build a rectangular fencing with the 5 identical parts for his animals. He has 780 feet of fencing to make it. Wh

Vladimir79 [104]

Answer:

65 ft by 39 ft

Step-by-step explanation:

Let x ft be the length of each part and y ft be the width of each part. The total perimeter of all 5 parts is

$6x+10y=780$

The length of the large rectangle is 5y ft and the width of the large rectangle is x, so the total area is

$A=x\cdot 5y$

From the first equation,

$y=78-0.6x$

Substitute it into the area expression:

$A(x)=x\cdot 5(78-0.6x)=390x-3x^2$

Find the derivative:

$A'(x)=390-3\cdot 2x=390-6x$

Equate it to 0:

$390-6x=0\\ \\6x=390\\ \\x=65$

Then

$y=78-0.6\cdot 65=78-39=39$

5 0

3 years ago

6(q − 87) = 36 what does q equal?

babunello [35]

Answer:q=-81

Step-by-step explanation:6(q-87)=36

6q-522=36

-522 from each side

6q=-486

Divide 6 from each side

q=-81

3 0

3 years ago

GC - If the principal amount of money put into a bank is $2000 with a 3.5% rate compounded quarterly, what is the amount after 6

alisha [4.7K]

Given:

Principal amount = $2000

Rate of interest = 3.5% compounded quarterly.

Time = 6 years

To find:

The amount after 6 years.

Solution:

The formula for amount after compound interest is:

$A=P\left(1+\dfrac{r}{n}\right)^{nt}$

Where, P is principal, r is rate of interest in decimal, n is the number of time interest compounded in an year and t is the number of years.

The interest is compounded quarterly, so $n=4$ .

Substituting $P=2000,r=0.035,n=4,t=6$ , we get

$A=2000\left(1+\dfrac{0.035}{4}\right)^{4(6)}$

$A=2000\left(1+0.00875\right)^{24}$

$A=2000\left(1.00875\right)^{24}$

$A=2465.10340$

Approximate the value to the nearest hundredth.

$A\approx 2465.10$

The amount after 6 years us $2465.10. Therefore, the correct option is A.

4 0

3 years ago