I think the answer for this question is the second one
PL= sqrt(4^2+12^2)=4sqrt(1+9)=4sqrt(10)
Using similarity gives that AM=4/3.
ML=40/3
[PLMU]=40/3 * 4 = 160/3 (53.33)
Or
PM= sqrt(4^2+16/9)=sqrt(160/9)=4sqrt(10)/3
4sqrt(10)*4sqrt(10)/3=160/3 or approximately 53.33
Answer:
The percentage that of people who gave the movie a rating between 6.8 and 8.8
<em>P(6.8≤X≤8.8) = 83.9≅ 84 percentage</em>
Step-by-step explanation:
<u> Step(i):-</u>
Mean of the Population = 8.3 points
Standard deviation of the Population = 0.5 points
Let 'X' be the random variable in normal distribution
<em>Let X = 6.8</em>
Let X = 8.8
The probability that of people who gave the movie a rating between 6.8 and 8.8
<em>P(6.8≤X≤8.8) = P(-3≤Z≤1)</em>
= P(Z≤1)- P(Z≤-3)
= 0.5 + A(1) - ( 0.5 -A(-3))
= A(1) + A(3) (∵A(-3)=A(3)
= 0.3413 +0.4986 (∵ From Normal table)
= 0.8399
<u><em>Conclusion:-</em></u>
The percentage that of people who gave the movie a rating between 6.8 and 8.8
<em>P(6.8≤X≤8.8) = 83.9≅ 84 percentage</em>
Answer:
Slope: 5
Y-intercept: 0
Equation: y=5x
Step-by-step explanation:
Lets look for an equation of the format y = mx + b, where m is the slope and b is the y-intercept (the value of y when x = 0).
Slope is defined as the "Rise/Run" of the line. The change in y(the rise) for a change in x(the run). This can be calculated by taking any two of the given data points. I'll pick (1,5) and (5,25):
Rise = (25 - 5) = 20
Run = (5 - 1) = 4
The Rise/Run, or slope, m, is (20/4) or 5.
<u>The equation becomes y = 5x + b.</u>
To find b, the y-intercept, enter <u>any</u> of the points into the equation and solve for b:
y = 5x + b
y = 5x + b for (4,20)
20 = 5*(4) + b
b = 0
The line goes through the origin at x = 0 (0,0).
The equation is y = 5x + 0 or just y = 5x.
Slope: 5
Y-intercept: 0
Equation: y=5x
Suzette ran for 1.6 hours and biked for 2.4 hours.
Let x = total hours Suzette ran.
Let y = total hours Suzette biked.
The equation to solve the question will be:
x + y = 4 ...... i
6.5x + 14y = 44.75 ....... ii
From i, y = 4 - x
Put the value of y into equation ii
6.5x + 14y = 44.75
6.5x + 14(4 - x) = 44.75
6.5x + 56 - 14x = 44.75
Collect like terms
6.5x - 14x = 44.75 - 56
-7.5x = -11.25
x = 11.25/7.5
x = 1.6 hours
Since x + y = 4
1.6 + y = 4
y = 4 - 1.6
y = 2.4 hours.
Suzette ran for 1.6 hours and biked for 2.4 hours.
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