Answer:
282.74
Step-by-step explanation:
πr2h
Step-by-step explanation:
Let the larger number be y and the smaller be x.
All you need to do is convert the English statements to mathematical statements.
y = 3x – 1 /the larger of two numbers is 1 less than 3 times the smaller number/
2x + y = 18 + y /if twice the smaller number is increased by the larger number, the result is 18 more than the larger number/
Solve the second equation.
2x + y = 18 + y
2x = 18
x = 9
Then substitute the value of x in the first equation.
y = 3x – 1 = 3(9) – 1 = 27 – 1 = 26
Answer:
28inches
Step-by-step explanation:
∠A + ∠B + ∠C = 180°
∠A + 65° +93° = 180°
∠A + 158° = 180°
∠A= 180°-158° = 22°
Using Law of Sines
a/sinA= b/sinB
a/sin22= 68 inches/sin65
a/sin22 = 68/0.9063 = 75.03
a = 75.03 x sin 22
a = 75.03 x 0.3746 = 28.106238≈28 inches
Answer:
The probability that the sample mean would be greater than 77.21 WPM = 0.9945
Step-by-step explanation:
Mean number of Words per Minute = u = 81
Standard Deviation = s = 17
sample size = n = 130
Target value = x = 77.21
we can find the probability by converting <u>x</u> to z-score.
The formula for z-score = ![\frac{x-u}{\frac{s}{\sqrt{n} } }](https://tex.z-dn.net/?f=%5Cfrac%7Bx-u%7D%7B%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%20%7D%20%7D)
using given values, z-score = ![\frac{77.21-81}{\frac{17}{\sqrt{130} } }](https://tex.z-dn.net/?f=%5Cfrac%7B77.21-81%7D%7B%5Cfrac%7B17%7D%7B%5Csqrt%7B130%7D%20%7D%20%7D)
=> -2.54
using the z table, we can find the find the probability of -2.54, that is 0.9945.
Therefore, the probability that the sample mean would be greater than 77.21 WPM = 0.9945