Calculator = -0.176091259
Answer:
10.55% probability
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the CDs are chosen is not important. So we use the combinations formula to solve this question.
1 Bach CD, from a set of 4.
1 Beethoven CD, from a set of 6.
1 Brahms CD, from a set of 3.
1 Handel CD, from a set of 2.
So, D=144
4 CDs from a set of 4+6+3+2 = 15.
So, T= 1365
p= D/T= 144/1365 = 0.1055
10.55% probability that she will choose one by each composer
X = pencils, y = pens
8x + 6y = 8.50
4x + 4y = 5.....multiply by -2
----------------
8x + 6y = 8.50
-8x - 8y = -10 (result of multiplying by -2)
-----------------add
-2y = - 1.50
y = -1.50 / -2
y = 0.75 <=== pens cost 0.75
4x + 4y = 5
4x + 4(0.75) = 5
4x + 3 = 5
4x = 5 - 3
4x = 2
x = 2/4
x = 0.50 <== pencils cost 0.50
To order numbers, they need to all be under the form. So let's transform all this numbers to the decimal form.
3/5 = 0.6
-24% = -24/100 = -0.24
√9 = 3 = 3.0 (all integers are decimals with a zero after the decimal point)
-2 = -2.0
1.6 bar = 1.66666666666 (the bar above the 6 represents an endless number of the digit 6)
π² = 9.86........ endless
(4√5)/2 = 4.47...... endless
4(4/5) = 4 + 4/5 = 4 + 0.8 = 4.8
Now that we got all forms under the decimal form, we can order the numbers from least to greatest:
-2.0 < -0.24 < 0.6 < 1.6666 < 4.47 < 4.8 < 9.86 < 3.0
By correspondence, we get:
-2 < -24% < 3/5 < 1.6 bar < (4√5)/2 < 4(4/5) < π² < 3
Hope this helps! :D
