Width of the playground is 33 foot.
<u>Explanation:</u>
A fence around the playground represents the perimeter.
If the playground is rectangular in shape, then the perimeter of the rectangle is known.
Perimeter of the rectangle = 144 foot
Let, width = b foot
Given:
length (l) = b+6 foot
We know,
Perimeter of the rectangle = 2 (l + b)
Putting the values of l and b in above equation we get,

length (l) = 33 + 6 foot
l = 39 foot
Hence, width of the playground is 33 foot.
Volume = base area x height
Volume = 1/2 x 9 x 9 x 6 = 243 cm³
Answer: 243 cm³
Answer:
0.7558 = 75.58% probability this sale has occurred in Dallas
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is

In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Belt sold
Event B: Sold in Dallas.
Probability of belt being sold:
50% of 65%(made in Dallas)
30% of 100 - 65 = 35%(made in Phoenix). So

Sold in Dallas:
50% of 65%. So

What is the probability this sale has occurred in Dallas?

0.7558 = 75.58% probability this sale has occurred in Dallas
Answer:
AB=36
Step-by-step explanation:
BC=AC
AB=√(AC²+BC²)=√[(18√2)²+(18√2)²]=√(2×18²×2)=2×18=36
Answer:
103
Step-by-step explanation:
We substitute x with 5:

Solve the exponent first:

<em>Note: We are using order of operations (consecutively)</em>
- <em>Parentheses </em>
- <em>Exponents</em>
- <em>Multiplication</em>
- <em>Division</em>
- <em>Addition </em>
- <em>Subtraction</em>
Multiply:
25 * 4 = 100
Add:
100 + 3 = 103
Our answer is 103
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