Answer:
b. 63 units
Step-by-step explanation:
The breakeven point occurs when the revenue is equal to the expenses. It means that the profit is 0. So, for the Basic model, the revenue is the sell less the costs: $41 - $15 = $26.For the Deluxe model, the revenue per unit is 0 ($45 - $45).
So, calling x the Basic model units, ad y the Deluxe model units, the total revenue will be: 26x, which must be equal to the expenses = $1,310.40:
26x = 1310.40
x = 50.4 units
y = x/4, because for 1 Deluxe model four Basic models are selled.
y = 50.4/4 = 12.6 units
The total units for breakeven point is 50.4 + 12.6 = 63 units.
Answer: All you have to do is divide 39 and 3 and you get 13. That is how many in a row.
Step-by-step explanation:
I hope that is right if not sorry.
Answer:
Step-by-step explanation:
Cost (C) depends on the number of miles traveled (x).
So C is the dependent variable.
Or C(x) if they want you to be more specific.
x is your independent variable.
Miles driven do not depend on anything.
Answer:
257 is prime.
Step-by-step explanation:
To evaluate if a number is prime, we just need to evaluate it for the prime numbers that are equal or lesser than the said number's square root.
In this case, √257 = 16.03 so we just need to see if 257 is divisible by <u>2, 3, 5, 7, 11 and 13</u> (the prime numbers that come before 16)
- 257 is odd, so it is not divisible by 2.
- The sum of its digits is 14, therefore, it is not divisible by 3.
- 257 ends in 7, therefore it's not divisible by 5.
- 257/ 7 = 36.71 so it's not divisible by 7.
- 257/ 11 = 23.36 so it's not divisible by 11
- Finally 257 / 13= 19.76 so it's not divisible by 13.
Therefore, 257 is prime.
Answer:
Step-by-step explanation:
Hello!
Your study variable is X: "number of ColorSmart-5000 that didn't need repairs after 5 years of use, in a sample of 390"
X~Bi (n;ρ)
ρ: population proportion of ColorSmart-5000 that didn't need repairs after 5 years of use. ρ = 0.95
n= 390
x= 303
sample proportion ^ρ: x/n = 303/390 = 0.776 ≅ 0.78
Applying the Central Limit Theorem you approximate the distribution of the sample proportion to normal to obtain the statistic to use.
You are asked to estimate the population proportion of televisions that didn't require repairs with a confidence interval, the formula is:
^ρ±
* √[(^ρ(1-^ρ))/n]
= 
= 2.58
0.78±2.58* √[(0.78(1-0.78))/390]
0.0541
[0.726;0.834]
With a confidence level of 99% you'd expect that the interval [0.726;0.834] contains the true value of the proportion of ColorSmart-5000 that didn't need repairs after 5 years of use.
I hope it helps!
