Answer:
234ft²
Step-by-step explanation:
Surface of the triangular prism
= ab+3bh
= (6ft×13ft)+(3×13ft×4ft)
= 78ft²+156ft²
= 234ft²
Hence, the surface area of the given triangular prism is 234ft².
Answer:
The range will be 103 because 148-45 = 103
Answer:
the probability of the treasure being in the area given that no treasure is found is 0.0625 (6.25%)
Step-by-step explanation:
denoting the event N= no treasure is found , then
P(N) = probability that the lost treasure is in the area* probability that the lost treasure is not found in the treasure's area + probability that the lost treasure is not in the area* probability that the lost treasure is not found in other areas = 0.4*0.1 + 0.6*1 = 0.64
P(N) = 0.64
then we can get the conditional probability using the theorem of Bayes . Denoting the event A= the treasure being in the area
P(A/N) = P(A∩N)/P(N) = 0.4*0.1/0.64 = 0.0625 (6.25%)
where
P(A∩N) = probability of the treasure being in the area and no treasure is found
P(A/N) = probability of the treasure being in the area given that no treasure is found
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:
32
Step-by-step explanation:
so because there is 1 cup of kernels which makes 4 cups of pop corn and there are 8 cups of crenels you would multiply 8 and 4.
135 – 60 = h
B.
135 + h = 60
C.
60 + 135 = h
D.
60 – h = 135
Answer:
18-5i
Step-by-step explanation:
Answer: 12-i
12-(√-1)
Step-by-step explanation:
Original Question
Split
Solve for square root
Subtract
You can substitute for i
Substitute