Answer:
Standard deviation 46.3
Step-by-step explanation:
A 28% of the distribution is equivalent to a z score of -0.5828, you can use a z table to find that.
Z score is calculated as follows:

x is the number being evaluated
μ is the mean
σ is the standard deviation
And it is used to calculate how many standard deviations you are from the mean of the sample.
Replacing with the known information you can calculate the standard deviation:

It is 4,000. :P
The 6 in the hundreds tells you to round up. 4 and under, keep it. 5 and up, raise it by one. :)
Answer:
2670 square feet. Option e.
Step-by-step explanation:
Dan and Betty can paint 2,400 square feet in 4 hours.
They can paint in one hour
= 600 square feet.
Since given that Betty paints twice as fast as Dan. Let us take an equation:
Let Betty = B, Dan = D and Sue = S
B = 2D
4(B+D) = 2400
4B + 4D = 2400
12D = 2400
D = 200 sq. ft.
B = 2D = 400 sq. ft.
Therefore, Dan can paint 200 square feet in 1 hour and Betty paints twice 400 square feet in 1 hour.
Now given three of them can paint 3,600 square feet in 3 hours.
3( B+D+S) = 3600
3B + 3D + 3S = 3600
3(400) + 3(200) + 3(S) = 3600
1200 + 600 + 3S = 3600
S = 600 Sq. ft.
Sue can paint 600 square feet in one hour.
So sue can paint in 4 hours and 27 minutes.
× 600
= 2670 square feet. Option e.
Answer:
Step-by-step explanation:
The vector in component form is the difference of the coordinates of its end points:
rock - ship = (4, 7) - (1, 0) = (3, 7) . . . . vector from ship to rock
__
The angle from North can be found using the tangent relation:
tan(bearing) = (east distance)/(north distance) = 3/7
bearing = arctan(3/7) ≈ 23.1986°
The bearing of the rock is 23.20°.
So, the tram is scheduled to be about at 8:55, but it always leaves earlier by 6 minutes, so it really doesn't leave at 8:55 but 6 minutes before or 8:49, so you better be there at 8:49 to catch it.
the Phone Clock is slower by 6 minutes, so 8:49 on the phone will really be 8:43.
the Lounge Clock is slower than the Phone's by 10 minutes, so 8:43 on the phone is really 8:33 on the Lounge's Clock.
now to get to the tram stop, it takes you 20 minutes, so you can't go at 8:33 according to the lounge clock unless you're flash gordon, but you're not, it takes you 20 minutes to get there, so you need to leave 20 minutes before that, or 8:33 - 20 minutes, 8:13.