Answer:
$720
Step-by-step explanation:
Given :
Mean, m = 600
Standard deviation, s = 120
Z = (x - m) / s
P(Z > x) = 84%
P(Z > x) = 0.84
Zscore corresponding to P(Z > x) = 0.84 will be -0.994
Hence,
-0.994 = (x - 600) / 120
120 * -0.994 = x - 600
119.28 = x - 600
119.28 + 600 = x
719.28 = x
Hence,
X = $720
Solve:
"<span>twice the number minus three times the reciprocal of the number is equal to 1."
3(1)
Let the number be n. Then 2n - ------- = 1
n
Mult all 3 terms by n to elim. the fractions:
2n^2 - 3 = n. Rearranging this, we get 2n^2 - n - 3 = 0.
We need to find the roots (zeros or solutions) of this quadratic equation.
Here a=2, b= -1 and c= -3. Let's find the discriminant b^2-4ac first:
disc. = (-1)^2 - 4(2)(-3) = 1 + 24 = 25.
That's good, because 25 is a perfect square.
-(-1) plus or minus 5 1 plus or minus 5
Then x = ------------------------------ = --------------------------
2(2) 4
x could be 6/4 = 3/2, or -5/4.
You must check both answers in the original equation. If the equation is true for one or the other or for both, then you have found one or more solutions.</span>
Answer:
Clockwise rotation 90 ° about origin
R_{90, clockwise, origin}(x,y) -> (y,-x)
J(-4,1) therefore
R_{90, clockwise, origin}J(-4,1) -> J'(1,+4) this answer was form other person credits to him/her
Step-by-step explanation:
Answer:
The slope, or m, is equal to 1/2.
Step-by-step explanation:
m = y2 - y1/x2 - x1
m = 2 - 4/3 - 7
m = -2/-4
m = 1/2
Find the ticket unit cost: divide the total paid, $324, by the number of tickets, x. Then the form of the unit cost is
$324
--------- .
x
This question is highly unusual in that you write "x" as the number of tickets sold, instead of a specific number of tickets. Supposing that you'd sold 100 tickets for $324, then the unit cost would be, much more typically, a numeric ratio:
$324
----------------- = $3.24/ticket
100 tickets
