Answer:
Option B) The battery storage capacity is significantly different than 60 Ah, at a confidence level of 95 %
Step-by-step explanation:
We are given the following in the question:
Mean storage capacity = 60 ampere-hour
95% confidence interval =
Thus, the correct answer based on the confidence interval is
Option B) The battery storage capacity is significantly different than 60 Ah, at a confidence level of 95 %
Since it is a two sided test we test whether the mean storage capacity is 60 Ah or different than 60 Ah
Thus, the battery storage is different from 60 Ah because the mean storage capacity does not lie in the 95% confidence interval.
Answer:
Answer:
Option 2nd is correct.
=0.
Step-by-step explanation:
Given the function:
Solve:
First calculate:
f[g(x)]
Substitute the function g(x)
Replace x with x-8 in the function f(x) we get;
The distributive property says that:
Using distributive property:
⇒
Put x = 6 we get;
Therefore, the value of is 0.
Step-by-step explanation:
Answer:
8x³ + 12x² - 16x - 16
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Distributive Property
Step-by-step explanation:
<u>Step 1: Define expression</u>
(4x² - 2x - 4)(2x + 4)
<u>Step 2: Simplify</u>
- Expand: 8x³ - 4x² - 8x + 16x² - 8x - 16
- Combine like terms (x²): 8x³ + 12x² - 8x - 8x - 16
- Combine like terms (x): 8x³ + 12x² - 16x - 16
Answer:
Cleanser that costs 50 cents is 1400 liters, Cleanser that costs 80 cents is 600 liters.
Step-by-step explanation:
We can solve this by using <em>simultaneous equations</em>:
- Let us express the question in terms of equations
Let a be cleanser at 50 cents and let b be the cleanser at 80 cents.
Equation 1: 0.5a + 0.8b = 0.59(a+b)
Equation 2: a + b = 2000
From equation 2, a = 2000 - b (Let's call this equation 3)
2. Substituting equations 2 and 3 in Equation 1:
0.5a + 0.8b = 0.59(a+b)
0.5(2000 - b) + 0.8b = 0.59(2000)
1000 - 0.5b + 0.8b = 1180
0.3b = 180
b = 600
Substitute in equation 3:
a = 2000 - 600
a = 1400
As a note, I formed equation 1 because I know for a fact the cost per liter of a and b. I also know it is sold at 0.59 cents per liter. We are selling 2000 liters in this instance, therefore 0.59(2000) = 1180, which in this case is the selling price.
Answer:
35
Step-by-step explanation:
x + 55 = 90
x = 90 - 55
x = 35
