Grandma makes chocolate chip cookies in batch of 100, and you choose one cookie at random. How many chips should she put in the dough so that the probability your cookie contains no chip is 0.02?

Answers

Answer 1

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


Related Questions

A board measures 15 meters in length and is cut into two pieces. One-piece measures 7 meters. Write an equation to find the length of the other piece?
Pls help

Answers

Answer:  7.2 + L= 19.5

answers are

A. 41 degrees
B. 15 degrees
C.90 degrees
D. 83 degrees ​

Answers

Answer:

Step-by-step explanation:

Ok so what you are going to do is  set up and equation where 6x-7=4x-23

you will get x= -8 now plug it in

A new, healthy drink has 160% of the “recommended daily allowance” (RDA) of vitamin J. If the RDA is 40 milligrams, how much vitamin J is in the new health drink?

Answers

Answer:

80

Step-by-step explanation:

Im not really sure just the thingy says that 80 was the right anwser

Answer:

64

Step-by-step explanation:

Sorry I'm really late.

Find 2 consecutive odd integers such that the sum of twice the larger integer and the smallest integer is 85.

Answers

Answer: Find an answer to your question Find 2 consecutive odd integers such that the sum of twice the larger integer and the smallest integer is 85.

Step-by-step explanation:

Iman and Mark went out for lunch. Part A: Their food and beverages cost $21.75, and there was a 7% meals tax. How much was the bill? A. $1.52 B. $15.23 C. $23.27 D. $23.49 Part B: After adding a tip, the total lunch cost was $27.19. What percent tip did Iman and Mark leave? A. 25% B. 18% C. 14% D. 10%

Answers

Answer:

C- The total is $23.27

The 7% tax is $1.52

Which of the following expressions is a factor of the polynomial x2+3/2x-1?
x-1
x-1/2
X-2
x+3/2

Answers

Answer:

the answer is x-1/2

Here see the attachment

DETERMINE WHETHER THE EXPRESSIONS BELOW ARE CORRECT OR NOT AND DO THE CORRECTION

1. 12% + 13%= 25%

2. a%=5 = a=5%

BTW ill make the first one to answer the brainliest

Answers

Answer:

First ans is true but second one is not the cotrect

one

Answer:

the 12%+13%=25%is correct while the a%=55a=5% is not correct

what is the solution to the following equation

Answers

Answer:

x²+5x+7 = 0

comparing above equation with ax² + bx +c

a=1, b = 5, c= 7

then

using quardatic formula

x = -b ±[tex]\sqrt{b^{2} - 4ac[/tex]

        2a

on solving option d is correct answer

Step-by-step explanation:

Solve plz, this is due Tomorrow!!

Answers

.

Step-by-step explanation:

25) h=11

26). two sides are same = 12cm

27). time = 15 hours

28). veronica travelled = 6+1 = 7 days

29). number of tickets buyed by people each showing : 231

30) ©

Kevin has completed 36% of his running marathon. he has ran 9 miles. How long is the marathon?

Answers

Answer:

25 miles

pls tell if I'm wrong

bye guys take some points its my last day

if tammy has two banna how many bannas does she have
A.1
B.2
C.3
D.4

Answers

Answer:

B. 2

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Find 3 consecutive integers such that the sum of all 3 integers is equal to 4 times the smallest integer minus 9. Please help I need it asap I will appreciate it a lotttt

Answers

Answer:

The three integers are 12,13 and 14

Step-by-step explanation:

Let

x,x+1,x+2 be three consecutive integers.

Out of these, the smallest one is x and largest is x+2 as it comes at last in the integers.

So according to given statement

[tex]x+(x+1)+(x+2) = 4x-9[/tex]

This is a linear equation in one variable, which can simply be solved by using equality properties

[tex]x+x+1+x+2 = 4x-9\\3x+3 = 4x-9[/tex]

Subtracting 4x from both sides

[tex]3x+3-4x = 4x-9-4x\\-x+3=-9[/tex]

Subtracting 3 from both sides

[tex]-x+3-3 = -9-3\\-x = -12\\x = 12[/tex]

The smallest integer is 12.

The other integers are:

x+1 = 12+1 = 13

x+2 = 12+2 = 14

Hence,

The three integers are 12,13 and 14

84 y is directly proportional to x. Given that y = 144 and x = 12. Find the value of y when x = 7.

Answers

84y = k x X
84 x 144 = 12,096
12,096 = k x 12 Divide by 12 each side
1,008 = k
84 y = 1,008 x 7
84y = 7056 divide by 84 each side

Y = 84

what situation can be modeled using the same equation -4 + 4 equals 0​

Answers

The answer is B because it is at -4 then increases 4 so now it is 0 degrees .

could you plz answer these questions plzzzzzzzz​​

Answers

can you post a better picture I don’t have good eyesight but I really want to help you!

Answer:

11. 74

12. 8.5

13. 194

14. 56

15. the second one so 30.5 is more expensive

16. Manju walked further

Step-by-step explanation:

11. perimeter so add all the sides together

oh they are all perimeter so add the two numbers in each problem and then multiply that number by 2

60 vs 122 so the 30.5 is more expensive

280 vs 288 so manju walked more

brainliest would be greatly appriciated! Thanks!

Please help i need it done asap
Thank you have a great day

Answers

I did this and I got the last answer
Hope this helps I know for sure it’s right so let me know if you got it right

Heidi has $4.55. She needs to buy bolts at the hardware store. Bolts cost $0.13 each.

What division equation and related multiplication equation could Heidi use to find how many bolts she can buy?

Answers

Answer

35

Step-by-step explanation:

4.55/.13=35. Also, Heidi could do 35x13. I hope this helps!

A student has a range of values from 0.000001 to 1,000,000, but limited paper to graph these values on. How might the student be able to graph these results clearly?

Answers

Answer:

logarithmic scale

The student might be able to graph these results clearly by taking the log of the values.

What is logarithm of a number?"Logarithms are the inverse of exponents. ""x is the logarithm of n to the base b if [tex]b^x=n[/tex]"

For given question,

A student has a range of values from 0.000001 to 1,000,000

We need to find the way so that the student will be able to graph these results.

We can write  0.000001 as [tex]1\times 10^{-6}[/tex]

[tex]\Rightarrow 0.000001=10^{-6}[/tex]

and 1,000,000 as [tex]1\times 10^6[/tex]

[tex]\Rightarrow 1,000,000=10^6[/tex]

If we take the log of these range values, then it would be,

[tex]\Rightarrow log(10^{-6})=-6[/tex]

and [tex]log(10^6)=6[/tex]

This means, the student might be able to graph these results clearly by taking the log of the values.

Learn more about logarithm here:

https://brainly.com/question/20785664

#SPJ3

what is the correct evaluation of 15-3x, when x is equal to -2?

-15

21

15

-21​

Answers

Answer:

Step-by-step explanation:

15-3x

15-3(-2)

15+6

21

Answer:

21 is the correct answer

Need help fast plss will give brainliest to who is correct plss help

Answers

Answer:

A) (-3,-2)

Step-by-step explanation:

Please help and I’ll mark brainliest if u give a small explanation

Answers

Answer:its 60

Step-by-step explanation:

look at g and put the number thats there on g

What is the 100th term of the sequence if the first term is 5
and the common difference is 2?

Answers

Answer:

505

Step-by-step explanation:

sn=2a+(n-1)d

2*5+(100-1)5

10+(99)5

505

I really need help, please

Answers

Answer:

C: [tex]\frac{5}{2} + \frac{1}{2} i[/tex]

Step-by-step explanation:

Did this through my TI-89 calculator. ^^

find the slope and the y-intercept of 7x = 2y-4

Answers

Answer:

Slope: [tex]\frac{7}{2}[/tex]

Y-intercept: (0, 2)

Step-by-step explanation:

7x = 2y - 4

-2y = -7x - 4

y = [tex]\frac{-7}{-2}[/tex] x - [tex]\frac{4}{-2}[/tex]

y = [tex]\frac{7}{2}[/tex] x + 2

The slope is always the coefficient of x and the y-intercept is always the constant. It looks like (0, constant) when written in y-int form.

Answer:

slope (m) is 7/2 (aka 3.5) and y-int is (0,2)

Step-by-step explanation:

I don't really have an explanation, basically rearrange the problem so that to y is on the left but it would be 2y so divide the right side by two. I an explain further in depth if needed

Points (-2, 3) and (x, 0) have a slope of 1/5.Find the x coordinate of the point.

Answers

Answer:

x = -17

Step-by-step explanation:

y - y1 = m(x - x1)

y - 3 = 1/5(x - (-2))

y - 3 = 1/5(x + 2)

y - 3 = 1/5x + 0.4

y = 1/5x + 0.4 + 3

y = 1/5x + 3.4

Now we plug in y as 0 to find x

y = 1/5x + 3.4

(0) = 1/5x + 3.4

-3.4 = 1/5x + 3.4 - 3.4

-3.4 = 1/5x times 5

-3.4 times 5 = x

-17 = x

Answer:

x = -17 (Verified Answer) ✅

Step-by-step explanation:

If we know the slope, we can solve for an unknown coordinate. First, let's review how to calculate slope.

Slope = Rise/Run (Change in y/Change in x)

In this case, we know the slope, so we will write out the slope formula. We will use the substitution method to solve this.

m = rise/run

rise = y2- y1 substituting ----> 3 - 0 = 3

run = x2 - x1 substituting ----> -2 - x = run

Now, we can return to the slope formula, as we now have enough information to solve.

1/5 = 3/R

To solve, we simply need to find the equivalent fraction of 1/5. We will use a proportion.

1R = 5 x 3

R = 15

Now that we know R, we can substitute it into the equation for run.

So, we now have:

15 = -2 - x

Subtracting -2 from both sides, gives us x = -17.

Finally, we must check our answer to make sure we are getting the correct slope when we calculate.

m = (3 - 0)/(-2 - -17)

m = 3/15 OR 1/5

Since. this matches the original slope we were given, we can be sure the answer is correct.

Under certain​ conditions, the average cost of driving a medium sedan in 2012 was ​$0.64 per mile. How much would it have cost to drive such a car 13000 miles in​ 2012?

Answers

Answer:

$8320

Step-by-step explanation:

.64 x 13000

Can someone help me please

Answers

P: -3x, 1y
Z:-3x, -4y
I: -1x, -4y

help me please? i needa help. am bad at maths.

Answers

Answer:

6/3 or 2 (you should probably write 2 though)

(there’s a couple notes in the pic too that will help you with slopes)

find the product of 7.64​

Answers

Answer:

58.3696

Step-by-step explanation

7.64 *7.64=58.3696


!! please help timed

If the value of "y" varies directly with "x"
and y = -8 when x = 20, find "y" if x = -4.
Enter the number that belongs in the green box.
Reduce to simplest form.

Answers

Answer:

Step-by-step explanation:

Y= -2/5 x -4/1 so the answer is Y=8/5

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