Answer:
Fraction: 81/100
Decimal: 0.81
Percentage: 81%
Step-by-step explanation:
The question is complete but the diagram mentioned can be found in
brainly.com/question/12188410
First step is to find the area of the whole square and then the area of the part that was shaded.
From the diagram, there are 100 squares in the whole square. 81 of those squares are shaded.
Area of the whole square = 10 by 10
= 10×10 = 100unit²
Area of shaded region = (10 by 8) + 1
= 80+1 = 81unit²
shaded area expressed as a fraction = 81unit²/100unit²
= 81/100
Shaded area expressed as a decimal = 81/100
You take the number 81 and carry the point by two decimal place from the right
= 0.81
Shaded area expressed as a percent of the whole = (81/100) × 100
= (81×100)/100
= 81%
Note the coordinates of each point: R(-4, 5), S(5, 1), T(2, -3).
The centroid is the point whose coordinates are the average of the coordinates of R, S, and T.
<em>x</em>-coordinate: (-4 + 5 + 2)/3 = 3/3 = 1
<em>y</em>-coordinate: (5 + 1 - 3)/3 = 3/3 = 1
So the centroid is (1, 1).
Answer:
So about 95 percent of the observations lie between 480 and 520.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviations of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
The mean is 500 and the standard deviation is 10.
About 95 percent of the observations lie between what two values?
From the Empirical Rule, this is from 500 - 2*10 = 480 to 500 + 2*10 = 520.
So about 95 percent of the observations lie between 480 and 520.
Answer:
see below
Step-by-step explanation:
dilation with a scale factor of 1/3 means the distances to the center shrink by 1/3
so for center (4,-2)
distance of (7,4) is 3 n 6 to center
1/3 of distance = 1 n 2
so (7,4) become (4+1, -2+2) = (5, 0) after the dilation
similarly u can find the other 2 pts
distance of (-2,4) is -6 n 6 to center
1/3 of distance = -2 n 2
so (-2,4) become (4-2, -2+2) = (2, 0) after the dilation
distance of (1, 10) is -3 n 12 to center
1/3 of distance = -1 n 4
so (1,10) become (4-1, -2+4) = (3, 2) after the dilation
plot the new triangle using the 3 pts
Answer:
mulltiply
Step-by-step explanation: you mulitply all