Answer:
The length and width of the rectangle are 20 inches and 17 inches .
Step-by-step explanation:
Formula
Area of a rectangle = Length × Breadth
As given
The width of a rectangle is 3 inches less than its length. The area of the rectangle is 340 square inches.
Let us assume that the length is denoted by l.
Thus
Breadth = l - 3
Put in the above formula
340 = l × (l - 3)
340 = l² - 3l
l² - 3l - 340 = 0
l² - 20l + 17l - 340 = 0
l(l-20) + 17 (l-20) = 0
(l - 20) ( l+ 17) = 0
l = 20
l = -17 (This valueof length is neglected because length cannot be negative.)
As l = 20 inches
Breadth = 20 - 3
= 17 inches
Therefore the length and width of the rectangle are 20 inches and 17 inches .
Answer:
(69.94, 72.06)
Step-by-step explanation:
Confidence Interval formula = Mean ± z × Standard deviation/√n
Mean = 71 ounces
Standard deviation = 2.8 ounces
z score = 95% confidence interval = 1.96
Confidence Interval = 71 ± 1.96 × 2.8/√27
= 71 ± 1.96 × 0.5388602512
= 71 ± 1.0561660924
71 - 1.0561660924
= 69.943833908 ounces
Approximately = 69.94 ounces
71 + 1.0561660924
= 72.0561660924 ounces
Approximately = 72.06 ounces
95% Confidence Interval = (69.94, 72.06).
Answer:
49.6
Step-by-step explanation:
just divide 397 by 8
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Answer:
Let's simplify step-by-step.
− x + 3 − ( x − 5 )
Distribute the Negative Sign:
= − x + 3 + − 1 ( x − 5 )
= − x + 3 + − 1x + ( − 1 ) ( − 5 )
= − x + 3 + − x + 5
Combine Like Terms:
= − x + 3 + − x + 5
= ( − x + − x ) + ( 3 + 5 )
= − 2x + 8
Answer:
= − 2x + 8
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