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Kobotan [32]
3 years ago
15

A fair dice is rolled 6 times. What is the probability of having no 2 and no 3 among the rolls? Round your answer to three decim

al places.
Mathematics
1 answer:
Ede4ka [16]3 years ago
4 0

Answer:

64/729

or 0.088 to 3 decimal places.

Step-by-step explanation:

The probability of no 2 and no 3 on one throw of the dices = 4/6 = 2/3.

For 6 rolls we multiply this 6 times because each throw is independent.

The answer is (2/3)^6

=  64/729

or 0.088 to 3 decimal places.

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What is the area of the base of the cone below? Round the answer to the nearest tenth if necessary. A cone with height 8 inches
docker41 [41]

Answer:

The area of the circle is 19.5 in²

Step-by-step explanation:

First of all to solve this problem we have to know the formula to calculate the volume of a cone

v = volume  = 52 in³

r = radius

h = height  = 8 in

π = 3.14

v = 1/3 * π * r² * h

we solve r

3 * v /h * π = r²

we replace the known values

3 * 52 in³ / 3.14 * 8 in = r²

156 in³ / 25.12 in = r²

6.21 in² = r²

√6.21 in² = r

2.49 in = r

now that we have the radius we need to use the area formula of a circle:

a = area

r = radius = 2.49 in

π = 3.14

a = π * r²

we replace the known values

a = 3.14 * (2.49 in)²

a = 3.14 * 6.21 in²

a = 19.5 in²

The area of the circle is 19.5 in²

7 0
3 years ago
Read 2 more answers
You know of a relative who is addicted to pain killers. Due to his history, 2.3g of Tylenol per day is dangerous. He takes 200 m
Nezavi [6.7K]

Answer: So, your relative takes N tablets each 6 hours. a day has 24 hours, and 24/6 = 4, so he takes N tablets 4 times per day, so he takes 4*N tablets.

each tablet has 200mg, and 2.3 g (or 2300 mg) is toxic.

this means that 4*N*200mg must be less than 2300, if we are seeking for the maximum N possible, then:

4*N*200mg = 2300mg

4*N = 2300/200 = 11.5

N = 11.5/4 = 2.87

if you round up this number, you will end up taking more than 2.3g of tylenol per day, this implies that N must be equal to 2.

So your relative needs to take maximum 2 tablets per day.

7 0
3 years ago
Hep please will give brainiest and other!!!
Vaselesa [24]

y = -9

Ok so to write the equation of the line you will need the slope and y-intercept. Since we are given two-point we can easily find the slope by using this equation for slope formula:

\frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

So now that we have our equation we can just plug in the numbers:

\frac{(-9)-(-9)}{5-(-3)}

After subtracting you should get:

0/8

Since zero is in the numerator and you can't divide zero by anything, the slope is 0. We still need the y-intercept for the equation however since the slope is 0 there is no need to put anything else.

Then to find the y-intercept all you have to do is plug in one of the coordinatines into the slope equation to solve, for example, using the point (5,-9):

(-9) = 5(0) + b

B is the variable for the y-intercept. Also notice how I put 0 as our slope into the equation. Now all you have to do is solve for b. Which you would get b = -9. Since you have your slope and your y-intercept now you just write out your equatoin for the line which is:

y = 0x - 9

**Just write it as

y = -9

5 0
2 years ago
Read 2 more answers
I WILL MARK BRAINLIEST :]
Maurinko [17]

Answer:

A. . A cheeseburger is $7.95 plus $1.00 for each additional topping.

Step-by-step explanation:

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3 years ago
Solve the system by substitution.<br> -2x-10y=-2<br> -4y=x
Julli [10]

maybe xd ad something else please

8 0
3 years ago
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