Width of the rectangle is 12 cm.
Solution:
The length of a rectangle is 4 cm more than its width , and the area of the rectangle is 96 cm². Find the width of the rectangle.
Given data:
Let x be width of the rectangle.
Length of the rectangle = (x + 4) cm
Area of the rectangle = 96 cm²
length × breadth = 96
Subtract 96 from both sides.
Let us factor the polynomial.
Take x common in 1st two terms and -12 common in next two terms.
Now, take (x + 8) common in both terms.
x + 8 = 0 and x - 12 = 0
x = -8 and x = 12
Dimension cannot be in negative terms, so ignore x = -8.
Width = 12 cm
Width of the rectangle is 12 cm.
STEP 1
Equation at the end of step
((14 • (x2)) - 7xy) - (3•72y2)
Equation at the end of step 2
((2•7x2) - 7xy) - (3•72y2)
STEP 3
STEP 4
Pulling out like terms
4.1 Pull out like factors :
14x2 - 7xy - 147y2 = 7 • (2x2 - xy - 21y2)
Trying to factor a multi variable polynomial :
4.2 Factoring 2x2 - xy - 21y2
Try to factor this multi-variable trinomial using trial and error
Found a factorization : (2x - 7y)•(x + 3y)
Answer:
B. 6
Step-by-step explanation:
The triangles are similar by AA Similarity.
The lengths of corresponding sides of the triangles are proportional.
AB/PQ = AC/PR
20/5 = 24/PR
4 = 24/PR
4PR = 24
PR = 6
Answer: PR = 6
Answer:
The z-score for the trainee is of 2.
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.
The mean of the test scores is 72 with a standard deviation of 5.
This means that 
Find the z-score for a trainee, given a score of 82.
This is Z when X = 82. So
The z-score for the trainee is of 2.
Answer:
yesss
Step-by-step explanation:
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