Answer:
The length of the rectangle is 37 yards, and the width of the rectangle is 17 yards.
Step-by-step explanation:
Given that the length of a rectangle is 3 yards more than twice the width, and the area of the rectangle is 54 yards, the following calculation must be performed to find the dimensions of the rectangle, knowing that the area of a rectangle arises from multiplying its base by its height:
2X + 3 + X = 54
3X + 3 = 54
3X = 54 - 3
X = 51/3
X = 17
(17 x 2) + 3 = 37
Therefore, the length of the rectangle is 37 yards, and the width of the rectangle is 17 yards.
40w - 8y + 16
-8 x -5w = 40w
-8 x y = -8y
-8 x -2 = 16
Answer:
the probability that a random sample of 17 persons will exceed the weight limit of 3,417 pounds is 0.0166
Step-by-step explanation:
The summary of the given statistical data set are:
Sample Mean = 186
Standard deviation = 29
Maximum capacity 3,417 pounds or 17 persons.
sample size = 17
population mean =3417
The objective is to determine the probability that a random sample of 17 persons will exceed the weight limit of 3,417 pounds
In order to do that;
Let assume X to be the random variable that follows the normal distribution;
where;
Mean
= 186 × 17 = 3162
Standard deviation = 
Standard deviation = 119.57






Therefore; the probability that a random sample of 17 persons will exceed the weight limit of 3,417 pounds is 0.0166
3 strips of 2.5 feet can be cut from the 7.5 feet long roll of ribbon.
Step-by-step explanation:
<u>DATA:</u>
Length of strips Eli need is 2.5 feet long
Length of roll of ribbon is 7.5 feet long
Number of strips that can be cut from the 7.5 feet long roll is x
<u>SOLUTION:</u>
To determine how many strips can be cut, divide total length of roll of ribbon by the length of strips needed.
Number of strips that can be cut = 
x =
(expression)
x = 3 strips
Therefore, 3 strips of 2.5 feet can be cut from the 7.5 feet long roll of ribbon.
Key words: fraction
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The first step to simplify this equation is to multiply the numbers
1512

×

next,, youll multiply the terms with the same base by adding their exponents
1512

finally,, youll add the numbers together
1512

since you cant simplify any further,, the correct answer to your question is 1512

let me know if you have any further questions
:)