Answer:
391 chips
Step-by-step explanation:
This is a Poisson distribution problem with the formula;
P(X = k) = (e^(-λ) × λ^(k))/k!
Let n be the number of chips she puts in the dough.
Since she makes chocolate chip cookies in batch of 100, then the mean number of chips is n/100.
So, λ = n/100
Now, we want to find how many chips should she put in the dough so that the probability your cookie contains no chip is 0.02.
Thus;
P(X = 0) = (e^(-λ) × λ^(0))/0! = 0.02
This gives;
e^(-λ) = 0.02
Putting λ = n/100, we have;
e^(-n/100) = 0.02
-n/100 = In 0.02
-n/100 = -3.912
n = -100 × -3.912
n ≈ 391 chips
Answer:
V = 7385.28
Step-by-step explanation:
Formula of the volume of a cylinder: V = pi*r^2*h
Since you are told to replace pi with 3.14, now plug in the numbers that you are given into the formula...
V = (3.14)(14)^2*(12)
= 7385.28
Notes: Remember you always have to divide your radius in half if it gives you a diameter, BUT since in this question it's given, you don't have to do any extra work :)
Y- intercept =-5
y-y1=m(x-x1)
y-(-1)=4(x-1)
y+1=4(x-1)
y+1=4x-4
y=4x-4-1
y=4x-5
Or
y=4x+b
-1=4(1)+b
-1=4+b
-1-4=b
-5=b. Y-intercept is -5
You would do 1/4 and get the answer plus 3/8s answer
Add the zeros on to 7.5 to which you would move the decimal and it should be like this 750.0 or 750
