Math Find the Distance Between Two Points (3,4) , (-2,1)
(
3
,
4
)
(
3
,
4
)
,
(
−
2
,
1
)
(
-
2
,
1
)
Use the distance formula to determine the distance between the two points.
Distance
=
√
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
Distance
=
(
x
2
-
x
1
)
2
+
(
y
2
-
y
1
)
2
Substitute the actual values of the points into the distance formula.
√
(
(
−
2
)
−
3
)
2
+
(
1
−
4
)
2
(
(
-
2
)
-
3
)
2
+
(
1
-
4
)
2
Simplify.
Tap for more steps...
√
34
34
The result can be shown in multiple forms.
Exact Form:
√
34
34
Decimal Form:
5.83095189
…
Answer:
Step-by-step explanation:
Population of X is {1, 1, 2, 2, 2, 3, 3, 3}
Based on that, X's expected value, variance and standard deviation can be calculated as follows:
Expected Value, μ = 2.125 or 2.13
Variance, σ2 = 0.609375 0r 0.61
Standard Deviation, σ = 0.78062475 or 0.78
5(100)= 500
5(90)= 450
5(8)= 40
500+450+40= 990
The answer is 990. Hope this helps!
-28 have a great day mark me brainiest!!
<span>y=
-0.000475x^2 + 0.851x
How high above is the
river bridge (the top of the arch)?
You have to find the vertex of of the parabole: the y-coordinate is the highest point.
Remember that the x-coordinate of the vertex of a parabole is at - b / 2a.
That is x = - 0.851 / [ 2(-0.000475) = 895.79
The corresponden y is y = </span><span>-0.000475(895.79)^2 + 0.851(895.79) = 381.16 feet above the river.
How long is section of bridge above
the arch?
The section of the brige is equal to the difference of the two roots
Roots: </span><span>y=
-0.000475x^2 + 0.851x = 0
=> x( - 0.000475x + 0.851) = 0
=> x = 0 and x = 0.851 / 0.000475 = 1791.58
Then the section is 1791.58 feet long.
Therefore, the answer is the option </span><span>D)The bridge is about 381.16 ft. above the river, and the length of the bridge above the arch is about 1,791.58 ft
</span>
