Answer:
It would take the smaller pipe 28 minutes to fill up the truck.
Step-by-step explanation:
Since the larger pipe takes 84 minutes and is three times faster than the smaller pipe, you have to divide 84 by 3 to get 28. To check if this is correct you have to multiply 28 by 3 and you get 84. Showing that the larger pipe is three times faster.
Answer:
Step-by-step explanation:
1) -28r +14=-12r-2
-16r=-16
r=1
~~~~~~~~~~~~~~~~
2) -35x+5=6x-36
-41x=-41
x=1
Answer:
12
Step-by-step explanation:
First, find out how wide his shelf is in inches. 2.25*12=27. So his shelf is 27 inches wide. Then divide that by 2.25 to find the number of encyclopedias will fit.
Answer:
E
Step-by-step explanation:
Solution:-
- We are to investigate the confidence interval of 95% for the population mean of walking times from Fretwell Building to the college of education building.
- The survey team took a sample of size n = 24 students and obtained the following results:
Sample mean ( x^ ) = 12.3 mins
Sample standard deviation ( s ) = 3.2 mins
- The sample taken was random and independent. We can assume normality of the sample.
- First we compute the critical value for the statistics.
- The z-distribution is a function of two inputs as follows:
- Significance Level ( α / 2 ) = ( 1 - CI ) / 2 = 0.05/2 = 0.025
Compute: z-critical = z_0.025 = +/- 1.96
- The confidence interval for the population mean ( u ) of walking times is given below:
[ x^ - z-critical*s / √n , x^ + z-critical*s / √n ]
Answer: [ 12.3 - 1.96*3.2 / √24 , 12.3 + 1.96*3.2 / √24 ]
F - Irrational, -13.8
Because the negative sign is not inside of the radical, we can tell that the number is being multiplied by the negative. Thus, do the radical equation first, get the answer 13.8202... and multiply by -1 to get the answer. Also, it is irrational because it is not a perfect square.