Hello there! A. 3.75 hours is your answer.
Okay, so lets start by finding the unit rate. To find the unit rate, we can use this formula: total ÷ time = unit rate.
total (72 cookies) ÷ time (2.5 hours) = unit rate. (how many cookies she can decorate and bake in an hour)
72 ÷ 2.5 = 28.8 cookies an hour
Now that we have this information, replace the 180 cookies in for the total number and use algebra to solve.
180 cookies ÷ x time = 28.8
Since 180 is a little more than 2 times 72, A would best fit since 3.75 is much closer to 2.5 than the other options. To check this, we can place 3.75 in for x in 180 ÷ x = 28.8.
180 ÷ 3.75 = 28.8.
So, this is your correct answer.
Answer:
180 different menus
Step-by-step explanation:
I believe that the way you solve this question is to multiply all the numbers of choices together. The product is the answer to this question
34 is the original number.
This is because 34 times 2 is 68 and 68 plus 3 is 71.
Answer:
Step-by-step explanation:
Remove the parentheses and take out the constansts.
Simplify 7 x 3 to 21.
Use the product rule: 
Simplify 2+5 to 7.
Simplfiy 3 + 8 to 11.
Answer:
The probability that a ship that is declared defecive is sound is 0.375
Step-by-step explanation:
Let P(A|B) denote the conditional probability of A given B. We will make use of the equation
P(A|B) = P(A) × P(B|A) / P(B)
We have the probabilities:
- P(Declared Defective (detected) | Defective) = 0.95
- P(not Detected | Defective) = 1-0.95=0.05
- P(Declared Sound | Sound) = 0.97
- P(Declared Defective |Sound) = 1-0.97=0.03
We can calculate:
P(Declared Defective)= P(Detected | Defective)×P(Defective) + P(Declared Defective |Sound) ×P(Sound) = 0.95×0.05 + 0.03×0.95=0.076
P(S | Declared Defective) =
(P(Sound) × P(Declared Defective | Sound)) / P(Declared Defective)
=0.95×0.03 /0.076 =0.375
