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:
D. 
Step-by-step explanation:
Answer:
The square root of 145.
Step-by-step explanation:
For this problem, make a right triangle between these two points. To solve for distance, use the Pythagorean formula. We know that one side is 8, and the other side is 9, so square 8 and 9 to get 64 plus 81. When you add these together, you get the square root of 145. You cannot further simplify the square root of 145, so that is the distance between the pair of points.
Answer:
He can buy 2 outfits
Step-by-step explanation:
How to arrive at the answer is: Since it says that Mr. Trager bought a new bike for $273.98. Subtract $ 273.98 from $ 500.00. The answer is $ 226.02. Then it says he bought 3 bike reflectors for $ 7.23.To find how much the bike reflectors cost, multiply 7.23 by 3. The answer is $21.69. Then subtract $ 21.69 from $ 226.02. The answer is $ 204.33. Then it says he bought a helmet for $ 42.36. Subtract $ 42.36 from $ 204.33. The answer is $ 161.97. Then it says he plans to buy cycling outfits for $ 78.12 each. To find out how many he can buy, subtract $ 78.12 until you can't anymore. You can subtract $ 78.12 once and the answer is $ 83.85. It looks like we can subtract one more time. Then we subtract $ 78.12 again, and he has $ 5.73 left. We subtracted twice, so he can buy 2 outfits.
Answer:
22.
Step 1: Find area of inner square = 4 ft × 12 ft = 48ft2
Step 2: Find area of outer shape =
25 ft +11 ft = 36 cm2
Step 3: Area of shaded region = area of outer shape – area of inner square
= 36 ft2 – 48 ft2
= 12 ft2