Answer:
.27
Step-by-step explanation:
The length of the rectangle is 20 inches, and the width of the rectangle is 4 inches if the table runner has an area of 80 square inches. The length and width of the table runner are whole numbers. The length is 5 times greater than the width.
<h3>What is the area of the rectangle?</h3>
It is defined as the space occupied by the rectangle which is planner 2-dimensional geometry.
The formula for finding the area of a rectangle is given by:
Area of rectangle = length × width
The area of the table runner = 80 square inches
Let's assume the length of the rectangle is L and the width is W
Then L = 5×W ...(1)
L×W = 80 ...(2)
Put the value of L in the equation (2)
5W(W) = 80
5W² = 80
W² = 16
W = ±4
Width cannot be negative.
W = 4 inches putting this value in the equation (1)
L = 5(4) = 20 inches
Thus, the length of the rectangle is 20 inches, and the width of the rectangle is 4 inches if the table runner has an area of 80 square inches. The length and width of the table runner are whole numbers. The length is 5 times greater than the width.
Learn more about the area here:
brainly.com/question/14383947
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Step-by-step explanation:
<h3>• C. P = Cost Price.. , S. P (Sell Price) , </h3>
<h3>→ C.P = 100×S.P/100+Profit (when profit) </h3>
<h3>(a) C.P = 100 × 55/100 + 10 = 5500/110 </h3>
<h2> C.P » $ 50</h2><h3 /><h3 /><h3>(b) C.P = 100 × 558/100+24 = 55800/124 </h3>
<h2> C.P » $ 450</h2><h3 /><h3 /><h3 /><h3 /><h3 /><h3>→ C. P = 100 × S.P/100 - loss (when loss) </h3>
<h3> (c) C. P = 100 × 680 / 100 - 15 = 68000/85</h3>
<h2> C. P » $ 800</h2>
<h3>(d) C. P = 100 × 11.78 / 100 - 5 = 1178/95 </h3>
<h2> C. P » $ 12.4</h2>
Answer:
Since the sample size is larger than 30, the cognitive psychologist can assume that the sampling distribution of M will be approximately normal.
Step-by-step explanation:
We use the central limit theorem to solve this question.
The Central Limit Theorem estabilishes that, for a random variable X, with mean 
and standard deviation 
, a sample size larger than 30 can be approximated to a normal distribution with mean and standard deviation 
So
Since the sample size is larger than 30, the cognitive psychologist can assume that the sampling distribution of M will be approximately normal.
Answer:
(9, -5)
Step-by-step explanation:
The vector AC has coordinates (27, -18), because:
21 - (-6) = 27
-13 - 5 = -18
If the ratio of AB to BC is 5 to 4, it means that
AB = [5/(5+4)]AC = (5/9)AC
Therefore, we have
AB = (5/9)AC = (5/9) (27, -18) = (15, -10)
Which means that:
xB - xA = 15 <=> xB - (-6) = 15 <=> xB + 6 = 15 <=> xB = 9
yB - yA = -10 <=> yB - 5 = -10 <=> yB = -10 + 5 <=> yB = -5
So B has coordinates (9, -5).
