Answer:
Step-by-step explanation:
Let the fraction be .
That would mean:
(1) x+y = 19
&
(2) y+8 = 2x or 2x = y+8
In order to use substitution, we multiply equation by 2:
(3) 2x+2y = 38
Then we substitute equation (2) into (3):
y+8 + 2y = 38
3y + 8 = 38
3y = 30
y = 10
Substitute this into equation (1)
x + 10 = 19
x = 9
Therefore the fraction would be:
Answer: 6
Step-by-step explanation:
If we call each team, A, B, C and D, each team has to play each other team once. Let's call each pairing between 2 teams the 2 teams' letters next to each other, e.g. AB is A playing against B. A has to play against B, C and D so we have AB, AC and AD. So we have 3 so far.
We have already counted that B is playing A but we haven't counted B playing C and D yet so we also have BC and BD. So we have 5 in total
Lastly, C needs to play D, we have already counted C playing B and C playing A so we have CD left. In total that gives 6.
Now we have already included D playing every other team so we don't include any other pairings.
In total, now every team has played every other team giving a total of 6.
(another way of solving this is doing "3!2 but if you haven't learnt factorials yet stick to the first method.
Answer:
x- coordinate of P is - 6
Step-by-step explanation:
The coordinates of any point in the form of an ordered pair (x, y )
Point P has coordinates P (- 6, 2 )
Answer:
a) 0.64
b) -1.13
Step-by-step explanation:
We are given the following information in the question:
Women:
Mean, μ = 64.2 inches
Standard Deviation, σ = 2.8 inches
We are given that the distribution of heights of women is a bell shaped distribution that is a normal distribution.
Men:
Mean, μ = 69.4 inches
Standard Deviation, σ = 3.0 inches
We are given that the distribution of heights of men is a bell shaped distribution that is a normal distribution.
Formula:
5.5 feet = 66 inches
a) z‑score for a woman 5.5 feet tall
b) z‑score for a man 5.5 feet tall