Step-by-step explanation:
Below is an attachment containing the solution.
Answer:
<em>( - 1 , - 4 ) </em>
Step-by-step explanation:
y = 3x - 1
y = x - 3
3x - 1 = x - 3 ⇒ <u><em>x = - 1</em></u>
y = 3( - 1 ) - 1 = - 4
<u><em>y = - 4</em></u>
<em>( - 1 , - 4 )</em>
We use the kinetic energy equation and substitute our data solving for the mass:
ke = (1/2)mv^2
m = 2*ke/v^2
m = 2*600/4^2
m = 1200/16
m = 75 kg
we can substitute directly because the units are homogeneus in the SI system: J, m/s, kg
Answer:
Step-by-step explanation:
1)
Percentile is related to the area under the standard normal curve to the LEFT of a certain data value (which in this case would be 26.1 inches).
On my Texas Instruments TI-83 Plus calculator, I found this area as follows:
normcdf(-100, 26.1, 28.4,1.2), where the range -100 to 26.1 represents the area (as a decimal fraction) to the left of 26.1 inches. My result was 0.028, which corresponds to the 3rd percentile (0.028 rounds off to 0.03, which would be 3rd percentile).
2) The mean waist size is 28.4 inches, represented by a vertical line through the standard normal curve lying between 24 and 32. We use the same function on the calculator: normcdf(24, 32, 28.4, 1.2).
The result is 0.9985. Subtracting this from 1.0000, we get 0.001, or 0.1%, which is the percentage of female soldiers requiring custom uniforms.
