Answer:
first 1 I think
Step-by-step explanation:
Let q represent the number of quarters he has. Then q-9 is the number of dimes, and 3q is the number of nickels. His total change is ...
0.25q + 0.10(q-9) + 0.05(3q) = 7.10
0.50q - 0.90 = 7.10
q = (7.10 +0.90)/0.50 = 16
The carrier has 16 quarters, 7 dimes, and 48 nickels.
The probability that a customer will order french fries is 0.49.
Complete parts a and b below.
a. If a customer places an order, what is the probability that the order will include a soft drink and no fries, if these two events are independent? (Round to four decimal places as needed.)
The probability is____________.
b. The restaurant has also determined that, if a customer orders a hamburger, the probability the customer will order fries is 0.71.
Determine the probability that the order will include a hamburger and fries. (Round to four decimal places as needed.)
The probability is________
Answer:
A) P(soft drink, hamburger, no fries) = 0.1912
B) P(fries and hamburger) = 0.3763
Step-by-step explanation:
A) Probability that the order will include a soft drink, a hamburger and no fries is;
P(soft drink, hamburger, no fries) = P(soft drink) x P(hamburger) x P(no French fries)
P(soft drink, hamburger, no fries) = 0.88 x 0.53 x (1 - 0.49) = 0.88 × 0.53 × 0.41 ≈ 0.1912
B) we are told that;
P(fries|hamburger)=0.71
Since P(fries|hamburger) = P(fries and hamburger)/P(hamburger)
Thus;
0.71 = P(fries and hamburger)/0.53
P(fries and hamburger)= 0.71 *0.53
P(fries and hamburger) = 0.3763
Question a's answer is 0.4488 meaning there's a 44.88% chance a customer will order a soft drink and no fries. For question b, the answer is 0.3763 meaning there's a 37.63% chance that an order will include a hamburger and fries.
To calculate probabilities of independent events, you simply multiply the probability of each event happening.
For question a. the probability of ordering a soft drink is given as 0.88, and the probability of ordering fries is given as 0.49. However, we want the probability of ordering a soft drink and not ordering fries, which means we need to take the complement of the fries event (1-0.49) which is 0.51. Multiply the probability of ordering a soft drink (0.88) with the probability of not ordering fries (0.51):
0.88 x 0.51 = 0.4488
Therefore the probability of a customer ordering a soft drink and no fries is 0.4488.
For question b. we are given the conditional probability that a customer will order fries given they have already ordered a hamburger, which is 0.71. To calculate the joint probability of both events (hamburger and fries), we must multiply the conditional probability by the probability of the hamburger event:
0.71 x 0.53 = 0.3763
Therefore the probability of an order including a hamburger and fries is 0.3763.
#SPJ3
Answer:
Explanation:
Given that three out of every fourteen trick-or-treaters were dressed as pirates
The proportion of the tick-or-treaters that were not dressed as pirates is the subtraction of the proportion of the people d
Dressed as pirates = 3/14
Not dressed as pirates = 14/14 - 3/14
= 11/14
Answer:
Noah's mixture will taste more like orange, than Andre's mixture.
Step-by-step explanation:
Given:
Noah mixes 4 scoops of powder with 6 cups of water.
Means Noah ratio will be or 0.67
Andre mixes 5 scoops of powder with 8 cups of water
Means Andre ratio will be or 0.62
As,
or
0.66 > 0.62
We can say that content of orange powder will be more in Noah mixture than in Andre's Mixture.
Hence, Noah's mixture will taste more like orange, than Andre's mixture.