ANSWER:
As we know, diagonals of parallelogram (||gm) bisect each other.
So, AE = EC
2x - 10 = 8x - 70
2x - 8x = - 70 + 10
- 6x = - 60
x = 10
1) the area of the "side" of the cylinder is A1= pi (4 in).
2) the total area of the circular ends of the cyl. is A2 = 2 pi (2 in)^2 (since the radius of the cyl. is 2 in).
The desired total surface area is A = A1 + A2. Keep "pi;" do not substitute a numerical value for "pi."
Answer:
c. (12.12, 18.48)
Step-by-step explanation:
Hello!
The study variable is X: number of times a racehorse is raced during its career.
The average number is X[bar]= 15.3 and the standard deviation is S= 6.8 obtained from a sample of n=20 horses.
To estimate the population mean you need that the variable has a normal distribution, in this case, we have no information about its distribution so I'll assume that it has a normal distribution. With n=20 the most accurate statistic to use for the estimation is a Students-t for one sample, the formula for the interval is:
X[bar] ± 

[15.3 ± 2.093 *
]
[12.12; 18.48]
Using a significance level of 95% you'd expect that the true average of times racehorses are raced during their career is included in the interval [12.12; 18.48].
I hope it helps!
Answer:
r = -1
Step-by-step explanation:
To get r isolated, you have to divide each side by -7
7 divided by -7 is -1, therefore r = -1