This is one proportion that can be created from the given information

.
You would then use cross product to solve it. Also reduce 36/24 to 3/2
3(3x + 7) = 2(6x - 6)
9x + 21 = 12x - 12
33 = 3x I subtracted 9x from both sides and added 12 to both sides
11 = x
Answer:
The probability that he answered neither of the problems correctly is 0.0625.
Step-by-step explanation:
We are given that a student ran out of time on a multiple-choice exam and randomly guess the answers for two problems each problem have four answer choices ABCD and only one correct answer.
Let X = <u><em>Number of problems correctly answered by a student</em></u>.
The above situation can be represented through binomial distribution;
where, n = number of trials (samples) taken = 2 problems
r = number of success = neither of the problems are correct
p = probability of success which in our question is probability that
a student answer correctly, i.e; p =
= 0.75.
So, X ~ Binom(n = 2, p = 0.75)
Now, the probability that he answered neither of the problems correctly is given by = P(X = 0)
P(X = 0) = 
= 
= <u>0.0625</u>
Q7: D
Q8: B
Step-by-step explanation:
Q7:
A cuboid is a three-dimensional shape, having six faces, where all the faces (top, bottom, and lateral faces) of the prism are rectangles, and every two opposing side faces are identical.
Therefore a cuboid is a rectangular prism.
Q8:
Volume of a cube
= l³
= 6 x 6 x 6
= 216 m³
Answer:
x= -4
3/6 is 1/2 so -2/4 is equal to one half
;) you can do it.
Answer:
The answer to your question is 116.53 ft
Step-by-step explanation:
Data
length = 29 ft
width = 21 ft
π = 3.14
Process
1.- Calculate perimeter of the rectangle and subtract 1 length
Perimeter of the rectangle = 2l + 2w - l
Perimeter of the rectangle = 2(29) + 2(21) - 29
= 58 + 42 - 29
= 71 ft
2.- Calculate the perimeter of a semicircle
Perimeter = 2πr/2 = πr
radius = r = 29/2
= 14.5 ft
Perimeter = (3.14)(14.5)
= 45.53 ft
3.- Calculate the total length of the fence
fence = 45.53 + 71
= 116.53 ft