3/4 and 2/3 need to be converted.
4&3 both have the same multiple of 12. So both denominators become 12. For 3/4 you multiply 4 by 3 to get 12, so you also have to multiply 3 by 3 (to get 9) because you multiplied 4 by 3.(3/4 = 9/12)
Max = For 2/3 you multiply 3 by 4 to get 12, so you multiply 2 by 4. (2/3 = 8/12)
So Max painted 8/12 of the room.
Answer and Step-by-step explanation:
To calculate a confidence interval for a proportion:
1) Determine the proportion

p = 0.616
2) A 90% confidence interval has z-score that is 1.645.
3) Calculate margin of error

where
n is the sample size
So


ME = 0.02175
Then the interval is given by
p ± z(ME)
0.62 ± 1.645(0.02175)
0.62 ± 0.035
The interval will be
0.585 < p < 0.655
What this means is that we are 90% confident that the true proportion of Katy Perry's Twitter female followers is between 0.585 and 0.655.
Answer:
(a) Output = 37
(b) Input = 9
Step-by-step explanation:
Given

Solving (a): Output, when input = 8
This means that, we solve for y when x = 8
So, we have:




Solving (b): Input, when output = 42
This means that, we solve for x when y = 42
So, we have:


Collect like terms


Divide both sides by 5

Answer:
C. f(-1) =12
Step-by-step explanation:
f(x)= 3x^2+9
Let x=-1
f(-1) = 3(-1)^2 +9
= 3(1)+9
= 3+9
= 12
f(-1) =12
Answer: 34%
Step-by-step explanation:
Given : The distribution of the number of daily requests is bell-shaped and has a
and
.
We can see that 41 = 35+6 , it 41 is one standard deviation from mean in the right side . (1)
According to the 68-95-99.7% rule, 68% of the population falls within 1 standard deviation from the mean.
34% (half of 68%) of the population on right side and 34% population on the left side of the density curve. (2)
From (1) and (2), the approximate percentage of light bulb replacement requests numbering between 35 and 41= 34%