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IceJOKER [234]
3 years ago
7

A fair die is cast four times. Calculate

Mathematics
1 answer:
Anestetic [448]3 years ago
4 0

Answer:

0.1319 or 13.2%

Step-by-step explanation:

You can solve this using the binomial probability formula.

The fact that "obtaining at least two 6s" requires you to include cases where you would get three and four 6s as well.

Then, we can set the equation as follows:

P(X≥x) = ∑(k=x to n) C(n k) p^k q^(n-k)

n=4, x=2, k=2

when x=2  (4 2)(1/6)^2(5/6)^4-2 = 0.1157

when x=3  (4 3)(1/6)^3(5/6)^4-3 = 0.0154

when x=4 (4 4)(1/6)^4(5/6)^4-4 = 0.0008

Add them up, and you should get 0.1319 or 13.2% (rounded to the nearest tenth)

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How to divide 11 by 110
jarptica [38.1K]
We want to simplify this as much as possible. 11/110=1/10 since 110=11*10. Therefore, the answer is 0.1
3 0
3 years ago
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Which of the following is an example of quantitative data? A the player’s number on a baseball uniform B the serial number on a
Taya2010 [7]

Answer:

The number of people in a waiting line is a quantitative data as we can count them.

Step-by-step explanation:

Consider the provided information.

The value of quantitative data can be determined by counting or measuring something.

Now consider the provided options.

The player’s number on a baseball uniform, the serial number on a one-dollar bill and the part number of an inventory item is not a quantitative data because we can't  measure them.

The number of people in a waiting line is a quantitative data as we can count them.

7 0
3 years ago
What is the equation in vertex form of the quadratic function with a vertex at (-1, -4) that goes through (1, 8)?
cestrela7 [59]

Answer:

y = 3(x+1)^2 - 4

Step-by-step explanation:The general form of the equation of a quadratic function whose vertex is (h,k) and whose leading coefficient is a is:

y - k = a(x-h)^2, or

y      = a(x-h)^2 - k

Substituting the coefficients of the vertex (-1, -4), we get:

y      = a(x + 1)^2 - 4

Substituting the coordinates of the given point, (1,8), we get:

8      = a(1+1)^2 - 4, which simplifies to:

8      = a(2)^2 - 4, or

8  = 4a - 4.  Then 4a = 12, and a = 3.

Thus, the desired equation is y = 3(x+1)^2 - 4 (answer j).


5 0
3 years ago
Help on these 2 please!!
gladu [14]
Hope this helps
7 \frac{1}{5}  - 2 \frac{3}{5}  =  \frac{36}{5}  -  \frac{13}{5}  =  \frac{23}{5}  = 4 \frac{3}{5}

8 \frac{2}{5}  - 4 \frac{3}{5}  =  \frac{42}{5}  -  \frac{23}{5}  =  \frac{19}{5}  = 3 \frac{4}{5}
good luck
6 0
3 years ago
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 5 to 3 . If there were
cestrela7 [59]
First you divide 4955 by 5 to get 991, then you multiply that by 3 to get 2973, the amount of no votes, then you add those together to get 7928 total votes
7 0
3 years ago
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