Answer:
The probability that the first card is a Heart and the second card is a Spade is 0.064.
Step-by-step explanation:
A standard deck of 52 cards is shuffled and two cards are drawn without replacement.
The denominations of the cards are as follows:
Spades (S) = 13
Hearts (H) = 13
Diamonds (D) = 13
Clubs (C) = 13
Compute the probability of selecting a Heart first as follows:

Compute the probability of selecting a Spade second as follows:

Since the two cards are selected without replacement the second draw is independent of the other.
Then the probability that the first card is a Heart and the second card is a Spade is:


Thus, the probability that the first card is a Heart and the second card is a Spade is 0.064.
Answer:
Answer: The mean increases by 3
Step-by-step explanation:
The original data set is
{50, 76, 78, 79, 79, 80, 81, 82, 82, 83}
The outlier is 50 because it is not near the group of values from 76 to 83 which is where the main cluster is.
The original mean is M = (50+76+78+79+79+80+81+82+82+83)/10 = 77
If we take out the outlier 50, the new mean is N = (76+78+79+79+80+81+82+82+83)/9 = 80
So in summary so far
old mean = M = 77
new mean = N = 80
The difference in values is N-M = 80-77 = 3
So that's why the mean increases by 3
Given:
Henry can type 3500 words in 70 minutes.
Colin can type 1500 in 30 minutes.
Brian can type 2200 words in 40 minutes.
To find:
The person who types at the fastest rate of words per minute.
Solution:
We know that,

Using this formula, we get



Since 55>50, therefore Brian's types at the fastest rate of words per minute.
Answer:
11 percent
Step-by-step explanation:
if you subtract 50 - 39 = 11
so 11 percent is the change from the first value to the second value.
Hope this helps :)
Heyo Kiddo. How are you doing today?
Let's figure this out.
So, if "one number is p," then we can say the other number can represent the variable z.
We can conclude that: p + z = 45
For us to solve for z :
p + z = 45
- p -p
So then,
z = 45 - p
You're welcome. :)