The translation moved point B(-5, -2) to B'(6, -5). Although a graph isn't necessary, it helps visualize what happened.
What happened to the x-coordinate of B? It changed from -5 to 6, an INCREASE of 11. So point B moved 11 units to the RIGHT.
What happened to the y-coordinate of B? It changed from -2 to -5, a DECREASE of 3. So point B moved 3 units DOWN.
To solve this problem, we make use of the z statistic.
What we have to do here is to find for the z score using the given data and
from the standard probability tables for z, we locate the proportion of the
fish longer than 12 inches.
The formula for calculating the z score is:
z = (x – μ) / σ
where,
x = the sample value = 12 inches
μ = the sample mean = 11 inches
σ = 2 inches
so,
z = (12 – 11) / 2
z = 1 / 2
z = 0.5
Since we are looking for the values greater than 12, so
this is a right tailed test. Using the tables, the value of p at this value of
z is:
p (z = 0.5) = 0.3085
Therefore there is a 30.85% probability that the fish is
longer than 12 inches.
Answer:
Step-by-step explanation:
P1(3,3)
P2(1, -5)
M= (-5-3)/(1-3)=-8/-2=4
Y=4x-9
Answer:
You need to find the surface of each area and sum them up.
Step-by-step explanation:
You will need the surface area for each side.
So 2 up-bottom, 2 left-right and two front-back
2*(4*3) + 2*(2*4) + 2(3*2)
2*12 + 2*8 + 2*6
24 + 16 + 12
Total area = 52
Answer:
About 67 men
Step-by-step explanation:
You multiply 112 by 3/5 or .6 to get 67.2 which rounds to 67 because there can not be .2 of a person.
