Answer: x= 5
Step-by-step explanation:
8x+32=1/5(25x−15)−4x
8x + 32 = <u>25x -15</u> - 4x <u><em>- 25x -15/ 5</em></u>
5
8x + 32 = 5x -3 - 4x
8x + 4x - 5x = -32 - 3
7x =-35
x = 35/7
x= 5
Answer: 12a.) slope is 125, y-intercept is 50 (started at 50 ft)
12b.) f(3) = 425 feet
12c.) 3.6 hours
Step-by-step explanation:
12a.) The slope equation is y = mx+b, where m is the slope, and b is the y intercept.
12b.) to find f(3) you could either plug it into the equation given (125x+50) or pretend there is a vertical line at 3 on the x axis, and where it crosses the line given would be the answer.
12c.) He is climbing a 500 ft cliff, and according to the graph, it takes him 3.6 hours to do it. Another way to find this answer would be to find f(3.6), which is indeed 500 ft.
Hope this helps!
Answer:
The mean of the sampling distribution of x is 0.5 and the standard deviation is 0.083.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean 
and standard deviation 
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation 
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For the population, we have that:
Mean = 0.5
Standard deviaiton = 0.289
Sample of 12
By the Central Limit Theorem
Mean = 0.5
Standard deviation 
The mean of the sampling distribution of x is 0.5 and the standard deviation is 0.083.
Answer:
I got 17.
Step-by-step explanation:
Because it takes 4 days to make 20 small frames, it takes 8 days to make 40. And because it takes 3 days to make 21 frames, and 21 multiplied by 3 is 63 (one less than 64), it would take 9 days (3 times the amount for 21) to make 64 large frames. In all, it would take APPROXIMATELY 17 days (9 +8 is 17)
