Answer:
Option E: 24.
Step-by-step explanation:
When Caleb (C) has 20 more books than Danica (D), we have:
(1)
Now, when Caleb gives Danica half of his books:
(2)
Danica will have 4 more books than Caleb, so:
(3)
Also we have that:
(4)
By entering equation (2) and equation (3) into equation (4) we have:
(5)
From (1) we have:
(6)
By entering (6) into (5):
And, from (6):
Therefore, the correct option is E, Caleb had to start with 24 books.
I hope it helps you!
Answer:
The probability associated with the range lethal morphine blood levels is 0.9902.
Step-by-step explanation:
Let <em>X</em> = lethal blood concentration of morphine.
The random variable <em>X</em> is normally distributed with parameter <em>μ</em> = 2.5 μg/ mL and <em>σ</em> = 0.95 μg/ mL.
Compute the probability of <em>X</em> within the range 0.05 to 4.95 μg/ mL as follows:
*Use a <em>z</em>-table for the probability.
Thus, the probability associated with the range lethal morphine blood levels is 0.9902.
Given maria has 
in the pennies & quarters.
she has twice as many pennies as quarters.
find out the coins
let us assume the quarters are x
than the pennies are 2x.
Formula
value of the pennies + value of the quarters = total value of coins
1 quarters =$ 0.25
1 pennies = $0.01
Thus
0.25x + 0.01 (2x) = 2.43
0.27 x = 2.43
x = 9
2x = 18
i.e the number of quarters are 9 and the number of pennies are 18.
Hence proved
Answer:
x = 3
Step-by-step explanation:
Multiply both sides by the exponent 2/3.
Solve for the exponent.
Add 8 to both sides.
Divide 8 into both sides.
Answer:
i think its D. C. or E. I'm not that great in math im kind of struggling thru it
