Answer:
4.71 ft^2
Step-by-step explanation:
to calculate area its pie * diameter with the diameter in this question being 1.5 and when it says to the nearest hundredth it means to the second away from the point
Answer:
Step-by-step explanation:
1) Number of children = c
Number of adults = a
Total ticket = 250
c + a = 250 -------------------(I)
Cost of 'c' children tickets = 200c
Cost of 'a' adult tickets = 450a
Total cost = 76000
200c + 450a = 76000 ------------------(II)
Multiply (I) by (-200) and then add
(I)*(-200) -200c - 200a = -50000
(II) <u> 200c + 450a = 76000 </u>
<u> </u> 250a = 26000
a = 26000/250
a = 104
Plug in a = 104 in equation (1)
c + 104 = 250
c = 250 - 104
c = 146
2)Number of children = 146
Number of adults = 104
Answer:
The probability that our guess is correct = 0.857.
Step-by-step explanation:
The given question is based on A Conditional Probability with Biased Coins.
Given data:
P(Head | A) = 0.1
P(Head | B) = 0.6
<u>By using Bayes' theorem:</u>
We know that P(B) = 0.5 = P(A), because coins A and B are equally likely to be picked.
Now,
P(Head) = P(A) × P(head | A) + P(B) × P(Head | B)
By putting the value, we get
P(Head) = 0.5 × 0.1 + 0.5 × 0.6
P(Head) = 0.35
Now put this value in , we get
Similarly.
Hence, the probability that our guess is correct = 0.857.
First of all if it is increasing then then it would start at the negative numbers. First is -1.2 second is 1/5 then it is 0.5 and finally 3/5
Answer:
Length: 5 ft; width: 4 ft.
Step-by-step explanation:
A = LW formula for area of rectangle
(2x + 1)(2x) = 20 substitute length, width, and area into formula
4x² + 2x - 20 = 0 use the distributive property to multiply out left side
2x² + x - 10 = 0 divide both sides of equation by 2
(2x + 5)(x - 2) = 0 factor out trinomial
2x + 5 = 0 or x - 2 = 0 use zero product rule to solve for x
2x = -5 or x = 2 subtract 5 from both sides; add 2 to both sides
x = -5/2 or x = 2
We discard x = -5/2 since it would give negative length and width, and the length and width cannot be negative.
Length: 2x + 1 = 2(2) + 1 = 5
Width: 2x = 2(2) = 4
Length: 5 ft; width: 4 ft.
