Perpendicular = opposite sign and reciprocal slope
Y = 3/2x + 1
The slope is 3/2, opposite sign = -3/2 now reciprocal = -2/3
Y = -2/3x + b
Plug in the point (6,-2)
-2 = -2/3(6) + b
-2 = -12/3 + b
-2 = -4 + b, b =2
Solution: y = -2/3x + 2
Answer:
C.
Step-by-step explanation:
Answer:
y = m/3
Step-by-step explanation:
y 1
---- = --------
m 3
Cross multiply
3*y = 1*m
3y = m
Divide each side by 3
3y/3 = m/3
y = m/3
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 ]
Answer:
58 number of dimes.
A. $5.8
B. 131.602 grams.
Step-by-step explanation:
A U.S. dime has a thickness of
mm.
Now, Gary has a stack of dimes that is
mm in height.
Therefore, Gary has
dimes in total.
A. Now, each dime is equivalent to $0.1.
Therefore, the total value of the dimes that Gary has is $(0.1 × 58) = $5.8.
B. If each dime weighs 2.269 grams, then the mass of the entire stack of dimes will be (2.269 × 58) = 131.602 grams. (Answer)