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.
It will take them 5 Hours to charge the same. The rental charge will be 510.
I did a manual computation per company: My computation is entirely based on trial and error.
Red Bus Co. has a fixed rental rate of 150 and additional rental of 72 per hour while Blue Bus Co. has a fixed rental rate of 240 and additional rental of 54 per hour. Both fixed rental rate are one time charges only and total rental will vary on the number of hours spent in using both vehicles.
Let's start with the Red Bus Co. I will be posting the charges per hour and its running balance. The running balance is the sum.
Fixed Rate 150 Running Balance: 150 => 150 + 0
Hr 1 72 222 => 150 + 72
Hr 2 72 294 => 222 + 72
Hr 3 72 366 => 294 + 72
Hr 4 72 438 => 366 + 72
Hr 5 72 510 => 438 + 72
I'll do the same process with Blue Bus Co.
Fixed Rate 240 Running Balanc: 240 => 240 + 0
Hr 1 54 294 => 240 + 54
Hr 2 54 348 => 294 + 54
Hr 3 54 402 => 348 + 54
Hr 4 54 456 => 402 + 54
Hr 5 54 510 => 456 + 54
Answer:
a₁₅₇ = 1,088
Step-by-step explanation:
aₙ = a₁ + d(n-1); where 'd' if common difference
a₁₅₇ = -4 + 7(156)
= -4 + 1092
= 1,088
Answer:
Option (C). 4.6 cm
Step-by-step explanation:
In the figure attached,
A right triangle has been given with hypotenuse = 6 cm, leg 1 = x cm, leg 2 = y cm and one angle = 50°
By applying Sine rule in this triangle,
Sin(50)° = 
Sin(50)° = 
x = 6(Sin50°)
x = 4.59
x ≈ 4.6 cm
Therefore, Option (C) will be the answer.
Answer:
Slope <em>m</em> = -3
y-intercept (0, 0)
General Formulas and Concepts:
<u>Algebra I</u>
Slope-Intercept Form: y = mx + b
- m - slope
- b - y-intercept
Step-by-step explanation:
<u>Step 1: Define</u>
y = -3x
<u>Step 2: Break Function</u>
<em>Identify Parts.</em>
Slope <em>m</em> = -3
y-intercept <em>b</em> = 0