Answer:
-8
Step-by-step explanation:
Use PEMDAS (solve for parenthesis first):
4(2 + -3)2
4(2 - 3)2
4(-1)2
(-4)2
-8
Slope intercept form: y= mx +b
Parallel lines= same slope
Find slope of this line first:
2x + 3y =8
Subtract 2x from left side and add it to right side.
3y = -2x + 8
Divide by 3
Y= -2x/3 +8/3
slope= -2x/3
Y= mx + b —-} b is y intercept which is unknown and m is slope
Plug in -2/3x for slope.
Y= -2/3x +b
To find y intercept plug in point (-2, 3)
Y= -2/3x+b
3= -2/3(-2) +b
3 = 4/3+b
3-4/3 =b
5/3 =b
Y= -2/3x +5/3 is new equation
It is 12.5%
Hope it helps!
Answer:
a) The cumulative distribution function would be given by:
x 0 1 2 3 4 5
F(X) 0.05 0.15 0.30 0.55 0.9 1
b)
And replacing we got:
Step-by-step explanation:
For this case we have the following probability distribution function given:
x 0 1 2 3 4 5
P(X) 0.05 0.1 0.15 0.25 0.35 0.1
We satisfy the conditions in order to have a probability distribution:
1)
2)
Part a
The cumulative distribution function would be given by:
x 0 1 2 3 4 5
F(X) 0.05 0.15 0.30 0.55 0.9 1
Part b
For this case we want to find this probability:
And replacing we got:
Total customers= 71+139+9 = 219
Probability that the next person will purchase no costume = 71/219=0.3242009132