Assuming the fish pond is round, what you're given is the circumference.
So you know that 2<span>πr = 27.
We want to solve for the diameter, or d = 2r. We should isolate that.
2r = 27/</span><span>π
2r = 8.59 yards, or ~9 yards.</span>
Answer:
ok so first lets find the answer to the original question
28+7=35
so lets find which one is equal to 35
7(4+1)=28+7=35 yes
4(7+1)=28+4=32 no
4(7+3)=28+12=40 no
7(4+7)=28+49=77 no
a is the answer
Hope This Helps!!!
Answer: a = c^(1/2) which is the first answer choice of the list
Work Shown:
a = b^(2/3) ... given equation
a = (c^(3/4))^(2/3) ... replace b with c^(3/4)
a = c^((3/4)*(2/3)) .... multiply exponents
a = c^(1/2) .... Simplify; note the 3's cancel, also 2/4 turns into 1/2
Answer:
The surface area of the rectangular prism is 52 square feet (ft²), if the height is 4 feet, width is 3 feet and depth is 2 feet.
Step-by-step explanation:
The given is,
A prism of
Let, h - height of the prism
w - Width of the prism
d - Depth of the prism
Step:1
From given,
h = 4 feet
w = 3 feet
d = 2 feet
Step:2
Formula to calculate the surface area of the rectangular prism is,
A=2(wd+hd+hw)
Substitute the values of w,d and h
= 2 [(3×2) + (4×2) + (4×3)]
= 2 (6+8+12)
= 2 × 26
= 52
A = 52 Square feet
Result:
Thus the surface area of the rectangular prism is 52 square feet (ft²), if the height is 4 feet, width is 3 feet and depth is 2 feet.
Using the binomial distribution, it is found that:
The probability that the student will get 15 correct questions in this test by guessing is 0.0207 = 2.07%.
For each question, there are only two possible outcomes, either the guess is correct, or it is not. The guess on a question is independent of any other question, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem:
- There are 20 questions, hence
.
- Each question has 2 options, one of which is correct, hence

The probability is:

In which:







Then:

The probability that the student will get 15 correct questions in this test by guessing is 0.0207 = 2.07%.
You can learn more about the binomial distribution at brainly.com/question/24863377