Answer: Last Option
Step-by-step explanation:
In this case we have a uniform probability. In the graph the horizontal axis represents the possible values of the variable x and the vertical axis represents the probability P(x).
To calculate the probability that x is between 4.71 and 7.4 we calculate the area under the curve.
The horizontal length between 4.71 and 7.4 is:
.
Then notice that the vertical length in this interval is 0.125.
Then the area of a rectangle is:
Where l is the length and w is the width.
In this case we have to:
So
Answer:
The Correct option is Last one 
Therefore, equation of the line in slope-intercept that passes through (-2,4) and is parallel to the line 
is
Step-by-step explanation:
Given:
To Find:
Equation of line passing through ( -2, 4) and is parallel to the line y=-4x-3
Solution:
..........Given
Comparing with Slope-Intercept form,
Where m =slope
We get
We know that parallel lines have Equal slopes.
Therefore the slope of the required line passing through (-2 , 4) will also have the slope = m = -4.
Now the equation of line in slope point form given by
Substituting the points and so we will get the required equation of the line,
Therefore, equation of the line in slope-intercept that passes through (-2,4) and is parallel to the line is
Answer:
210
Step-by-step explanation:
6×7×10÷2=210
hope this is correct
<span>√109</span>≈<span>10.44030650 <--- Answer
</span>Distance=<span>√<span><span><span>(<span>x2</span>−<span>x1</span>)</span>2</span>+<span><span>(<span>y2</span>−<span>y1</span>)</span><span>2
</span></span></span></span>√<span><span><span>(<span>(−1)</span>−<span>(2)</span>)</span>2</span>+<span><span>(<span>(−5)</span>−<span>(5)</span>)</span><span>2
That check sign is the square root, since they wouldnt let me put it in...</span></span></span>
Answer:
Step-by-step explanation:
15. (-4-3)/(-5-0)= -7/-5= 7/5
y - 3 = 7/5x - 0
y = 7/5x + 3
16. (-2-3)/(4-0)= -5/4
y - 3 = -5/4x - 0
y = -5/4x + 3
17. (-3+5)/(0+3)= 2/3
y + 5 = 2/3(x + 3)
y + 5 = 2/3x + 2
y = 2/3x - 3
18. (-2-2)/(0+4)= -4/4= -1
y - 2 = -1(x + 4)
y - 2 = -x - 4
y = -x - 2
19. y - 3 = 1/2x - 0
y = 1/2x + 3
20. y - 2 = -(x + 1)
y - 2 = -x - 1
y = -x + 1
21. perp. -5/3
y + 5 = -5/3x + 0
y = -5/3x - 5
22. perp. 1/2
y + 1 = 1/2(x + 4)
y + 1 = 1/2x + 2
y = 1/2x + 1
23. perp. 3/4
y + 5 = 3/4(x + 4)
y + 5 = 3/4x + 3
y = 3/4x - 2
24. perp. 7/5
y - 4 = 7/5(x - 5)
y - 4 = 7/5x - 7
y = 7/5x - 3
