Set up an equation when x is the cost of a book. If we know that 45 + 5 = 50:
45x = 50(x - .1)
Now, multiply across the parentheses:
45x = 50x - 5 (Now, combine terms over the equal sign)
-50x -50x
-5x = -5 (Now, divide off the -5 from both sides)
/-5 /-5
x = 1
This means that the current cost of a book is <em><u>$1.</u></em> This works out if you test it.
Hope this helps!
~<em>ArchimedesEleven</em>
Approximately 65% of the distribution lies within one standard deviation of the mean, which is to say,
P(72 ≤ x ≤ 86) ≈ 0.65
Normal distributions are symmetric, so the percentage of values one standard deviation below the mean is equal to the percentage of values one standard deviation above the mean.
P(72 ≤ x ≤ 79) = P(79 ≤ x ≤ 86)
but since the sum of these make up P(72 ≤ x ≤ 86), we find
P(72 ≤ x ≤ 79) ≈ 0.65/2 = 0.325
Also due to symmetry, exactly half of the distribution lies to either side of the mean; namely,
P(x ≥ 79) = 0.5
It follows that
P(x ≥ 72) = P(72 ≤ x ≤ 79) + P(79 ≤ x)
P(x ≥ 72) = 0.325 + 0.5
P(x ≥ 72) = 0.825 ≈ 0.84
Answer:
6
Step-by-step explanation:
On the fourth day, there were b^3 beads and 216 beads on the belt, which means b^3 = 216. Taking the cube root of both sides, we have b = 6, which means there were 6 beads on the belt on the first day.
Answer:
4th option
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = 
with (x₁, y₁ ) = (2, 12) and (x₂, y₂ ) = (6, 6) ← 2 points on the line
m = 
= 
= - 
the line crosses the y- axis at (0, 15 ) ⇒ c = 15
y = - x + 15 ← approximate equation of line of best fit
Answer:
24
Step-by-step explanation:
The delivery person can take 24 boxes of books up the elevator at one time. This was my process:
(1140-150) / 40
990 / 40
24.75
But you cannot have three quarters of a box so the final answer would be 24.
