Answer:
A. Ratio boys to girls ---> 19 : 26
B. Ratio of 5th grade to 6th grade ---> 21 : 24
C. Ratio of girls to total number of chorus students ---> 26 : 45
Step-by-step explanation:
A. the amount of boys is 9 + 10, the amount of girls is 12 + 26
B. the amount of 5th graders is 12 + 9, the amount of 6th graders is 14 + 10
C. the number of girls is 12 + 14, and the number of chorus students is 12+9+14+10
Hi there!
Since there is a 50% chance of any coin landing on heads and a 50% chance of any coin landing on tails, the chance that all 3 coins land on either heads or tails (the same side) is 50% * 50% * 50%.
50% * 50% * 50%
= 0.5 * 0.5 * 0.5
= 0.25 * 0.5
= 0.125
Now, we need to convert into a percentage:
0.125 = 12.5%
So, the answer is 12.5%.
Hope this helps!
Answer:
The answer to your question is a = 40, b = 5/8
Step-by-step explanation:
Data
ab = 25
log₄a - log₄b = 3
Process
1.- Use the law log of a quotient
log₄ a/b = 3
2.- Convert the log to an exponent
a/b = 4³
a/b = 64 Equation l
ab = 25 Equation ll
3.- Solve equation l for a
a = 64b
4.- Substitute in equation ll
(64b)b = 25
-Simplify
64b² = 25
-Solve for b
b² = 25/64
b = 5/8
5.- Substitute the value of b to find a
a = 64(5/8)
-Simplification
a = 40
let's firstly change the 1.2 to a fraction
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![-\cfrac{\stackrel{4}{~~\begin{matrix} 24 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{5}\cdot -\cfrac{1}{\underset{1}{~~\begin{matrix} 6 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\implies \boxed{\cfrac{4}{5}}](https://tex.z-dn.net/?f=-%5Ccfrac%7B%5Cstackrel%7B4%7D%7B~~%5Cbegin%7Bmatrix%7D%2024%20%5C%5C%5B-0.7em%5D%5Ccline%7B1-1%7D%5C%5C%5B-5pt%5D%5Cend%7Bmatrix%7D~~%7D%7D%7B5%7D%5Ccdot%20-%5Ccfrac%7B1%7D%7B%5Cunderset%7B1%7D%7B~~%5Cbegin%7Bmatrix%7D%206%20%5C%5C%5B-0.7em%5D%5Ccline%7B1-1%7D%5C%5C%5B-5pt%5D%5Cend%7Bmatrix%7D~~%7D%7D%5Cimplies%20%5Cboxed%7B%5Ccfrac%7B4%7D%7B5%7D%7D)
