Answer:
Step-by-step explanation:
We know that the length is four times the width, so:
We also know the area, which is 324 m². The formula for area:
Insert the known values:
Solve for w. Simplify by removing parentheses:
Divide 4 from both sides to isolate the variable:
Find the square root of both sides:
The width is 9 m.
We know the width. Now find the length by using the area formula and inserting known values:
Solve for l. Divide both sides by 9:
The length of the rectangle is 36. (You can check: 4 times 9 is 36)
Now find the perimeter:
Insert values:
The perimeter is 90 m.
Answer:
552
Step-by-step explanation:
23x + 4y when x=20 and y=23
if x=20 and y=23 all you have to do is replace the numbers and solve
23(20) + 4(23)
Multiply 23*20 which is equal to 460
Then you multiply 4*23 which is equal to 92
The problem is now 460 + 92
add it, and you get 552.
Hope this helps!!
-Ketifa
Hello from MrBillDoesMath!
Answer:
I think your formula (2y/x2) is equivalent to
(2*y)/(x^2) where x^2 means x-squared.
If so, then
(2*y)/(x^2) = (2*3)/(4*4) = 6/16 = 3/8
Thank you,
MrB
Answer:
0.8413 = 84.13% probability that a bolt has a length greater than 2.96 cm.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 3 cm and a standard deviation of 0.04 cm.
This means that 
What is the probability that a bolt has a length greater than 2.96 cm?
This is 1 subtracted by the p-value of Z when X = 2.96. So
has a p-value of 0.1587.
1 - 0.1587 = 0.8413
0.8413 = 84.13% probability that a bolt has a length greater than 2.96 cm.
Answer:
Step-by-step explanation
The length of the left sloping line
= √ (5^2 + 7^2) = √74.
The right sloping line
= √(5^2 + 5^2) = √50.
So the perimeter:
= √74 + √50 + 2 + 2 * 4 + 14
= 39.67 to nearest hundreth.
Area = 1/2 * 5 * 7 + 2*5 + 1/2 * 5 * 5 + 4*14
= 96.
