Answer:
Small fish= 7
Big fish= 21/4 (so she'll get 5 big fish)
Step-by-step explanation:
With the problem, there are two equations, one for the cost, and one for the amount of water. For the first equation, Alaina can spend 70 dollars and the fish cost 8 and 3 dollars so the equation is 70=8b+4s (s for small and b for big). Then for the second equation there are 14 available gallons and the fish require 2 and .5 gallons so 14=2b+0.5s. Then you just solve the system of equations.
Simplify 3x × 2 to 6x
6x - x + 8y + 4x × 2 - 3x - 5y
Simplify 4x × 2 to 8x
6x - x + 8y + 8x - 3x - 5y
Simplify
<u>10x + 3y</u>
Answer:
Null hypothesis: <em>H₀</em>: <em>p</em>₁ = <em>p</em>₂.
Alternate hypothesis: <em>H₀</em>: <em>p</em>₁ ≠ <em>p</em>₂.
Step-by-step explanation:
A statistical experiment is conducted to determine whether the proportions of unemployed and underemployed people who had relationship problems were different.
Let <em>p</em>₁ = the proportion of unemployed people who had relationship problems and <em>p</em>₂ = the proportion of underemployed people who had relationship problems.
A hypothesis test for difference between proportions, can be conducted to determine if there is any difference between the two population proportions.
Use a <em>z</em>-test for the test statistic.
The hypothesis test is:
<em>H₀</em>: There is no difference between the proportions of unemployed and underemployed people who had relationship problems, i.e. <em>p</em>₁ = <em>p</em>₂.
<em>Hₐ</em>: There is a significant difference between the proportions of unemployed and underemployed people who had relationship problems, i.e. <em>p</em>₁ ≠ <em>p</em>₂.
Pi/3 - pi/6
Adding or subtracting radians is solve the same way we add and subtract fractions.
1st step, find the least common denominator of the fractions.
3: 3, 6
6: 6 LCD is 6.
Multiply each fraction by a fraction that will result of a denominator of 6.
pi/3 * 2/2 = 2pi/6
pi/6 * 1/1 = pi/6
2pi/6 - pi/6 = (2pi - pi) / 6 = pi/6
So, pi/3 - pi/6 = pi/6.