Answer:
The answer is 5/6, or .833, 3 repeated.
Step-by-step explanation:
The 4 is only one side of the die, or 1/6 if the surface of the die. So the other part that is left is the other 5/6 of the surface.
Answer:
K = 9
Step-by-step explanation:
K/3 -2 =1
+2 +2.
K/3 = 3
*3 *3
K = 9
Answer:
Diana approximately had 128 cards
Step-by-step explanation:
Let n be the number of cards Diana had. She knows that
- there are 17 kings among n cards
- 4 kings among 30 cards
Write a proportion:
Cross multiply:
Answer:
Step-by-step explanation:
1) Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Let X the random variable that represent the scores, and for this case we know the distribution for X is given by:
And let represent the sample mean, the distribution for the sample mean is given by:
On this case
2) Calculate the probability
We want this probability:
The best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
(x-h)^2+(y-k)^2=r^2
(h,k) is center
r=radius
(x-2)^2+(y-(-3))^2=2^2
center is (2,-3)
radius is 2
A. (2,-5) is on the circle, not inside
B. (2,-4) is inside
C. (0,-3) is on the circle, not inside
D. (2,0) is on the circle, not inside
answer is B