Answer:
|F net| = 20.22 N
θ ≈ 19.8°
Step-by-step explanation:
F net = 15N i + 8cos(60°)N i + 8sin(60°)N j
= 15N i + 8×½N i + 8×√3/2N j
= 15N i + 4N i + 4√3N j
= 19N i + 4√3N j
|F net| = √(19²+(4√3)²) = √(361+48) = √409 ≈ 20.22N
tan(θ) = 4√3 ÷ 19 ≈ 0.36 → θ ≈ arctan(0.36) = 19.8°
Answer:
264,666.
Step-by-step explanation:
We have been given that a number has seven digits.
All digits are 6 except the hundred-thousands' digit.
Hundred thousands: 100,000.
The hundred thousand's digit is 2, so its value would be 200,000.
We have been given that thousands's digit is 4, so its value would be:
4 thousands: 4,000
The number with given hundred thousand's and thousands's digit would be 204,000.
Since all digits are 6 except the hundred-thousands' digit, therefore, our number would be 264,666.
Answer:
Mean= 5.70
Standard deviation= 0.132
Step-by-step explanation:
For the distribution of sample mean:
Mean of the sampling distrubution = \mu = 5.70
Standard deviation of the sampling distrubution = sigma/sqrt{n} = 1.7201 /sqrt{170} = 0.132