Answer:
(3,-2)
Step-by-step explanation:
The vertex is the lowest point of the arc!
Hope I helped!
The z-score is given by the formula:
z=(x-μ)/σ
μ=1252
σ=129
The answer to the questions given will be as follows:
a] <span>what is the probability that a randomly selected bag contains between 1100 and 1400 chocolate chips?
z=(1400-1252)/129
z=1.15625
P(x</span>≤<span>1400)=0.8770
z=(1100-1252)/129
z=0.1190
P(X</span>≤1100<span>)=0.1190
the answer will be:
P(1100</span>≤x≤1400<span>)=0.8770-0.1190=0.758
b]</span><span>what is the probability that a randomly selected bag contains fewer than 1000 chocolate chips?
</span>z=(1000-1252)/129=-1.954
P(X≤1000)=0.0256
c] <span>what proportion of bags contains more than 1200 chocolate chips?
z=(1200-1252)/129
z=-0.4031
P(X</span>≥1200<span>)=1-P(X</span>≤1200<span>)=1-0.4031=0.5969
</span>
Answer:
Future value, A = $642
Step-by-step explanation:
Given the following data;
Principal = $500
Interest rate = 5% = 5/100 = 0.05
Time, t = 5 years
n = 365
To find the future value, we would use the compound interest formula;
Where;
A is the future value.
P is the principal or starting amount.
r is annual interest rate.
n is the number of times the interest is compounded in a year.
t is the number of years for the compound interest.
Substituting into the equation, we have;
Future value, A = $642
Answer:
y=-x
Step-by-step explanation:
It's going left one by one, meaning the slope is negative and has a slope of -1 or -x.