Answer:154 miles
Hi, to answer this question we simply have to multiply the distance that he walks every day (7 miles) by the number of days that he works in a month (22). Zack walks 154 miles in one month.
Step-by-step explanation:
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Step-by-step explanation:
Formula: z = (x-μ)/σ
So, plug in the numbers.
N(14,4), find the z score for 9
x is the number you're finding, so x=9
μ is the mean, so μ = 14
σ is the st. deviation, so σ=4
Plug them in, so it's z=(9-14)/4 and you'll get your answer :)
hint: it should be a negative number
Answer:
Step-by-step explanation:
4/50 = 0.08
0.08(100) = 8%
Diagonal of a Rhombus are perpendicular & intersects in their middle point:
Assume the diagonals intersects in H
A(0,-8), B(1,-0), C(8,-4) & D(x, y) are the vertices of the rhombus and we have to calculate D(x, y)
Consider the diagonal AC. Find the coordinate (x₁, y₁) H, the middle of AC
Coordinate (x₁, y₁) of H, middle of A(0,-8), C(8,-4)
x₁ (0+8)/2 & y₁=(-8-4)/2 ==> H(4, -6)
Now let's calculate again the coordinate of H, middle of the diagonal BD
B(1,-0), D(x, y)
x value = (1+x)/2 & y value=(y+0)/2 ==> x= (1+x)/2 & y=y/2
(1+x)/2 & y/2 are the coordinate of the center H, already calculated, then:
H(4, -6) = [(1+x)/2 , y/2]==>(1+x)/2 =4 ==> x=7 & y/2 = -6 ==> y= -12
Hence the coordinates of the 4th vertex D(7, -12)
