Answer:
rate of the plane in still air is 33 miles per hour and the rate of the wind is 11 miles per hour
Step-by-step explanation:
We will make a table of the trip there and back using the formula distance = rate x time
d = r x t
there
back
The distance there and back is 264 miles, so we can split that in half and put each half under d:
d = r x t
there 132
back 132
It tells us that the trip there is with the wind and the trip back is against the wind:
d = r x t
there 132 = (r + w)
back 132 = (r - w)
Finally, the trip there took 3 hours and the trip back took 6:
d = r * t
there 132 = (r + w) * 3
back 132 = (r - w) * 6
There's the table. Using the distance formula we have 2 equations that result from that info:
132 = 3(r + w) and 132 = 6(r - w)
We are looking to solve for both r and w. We have 2 equations with 2 unknowns, so we will solve the first equation for r, sub that value for r into the second equation to solve for w:
132 = 3r + 3w and
132 - 3w = 3r so
44 - w = r. Subbing that into the second equation:
132 = 6(44 - w) - 6w and
132 = 264 - 6w - 6w and
-132 = -12w so
w = 11
Subbing w in to solve for r:
132 = 3r + 3(11) and
132 = 3r + 33 so
99 = 3r and
r = 33
Answer:
B. -40°F
Step-by-step explanation:
its- clearly lower than -30
Answer:
Probability that the sample mean would be greater than 141.4 millimetres is 0.3594.
Step-by-step explanation:
We are given that Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 141 millimetres, and a standard deviation of 7.
A random sample of 39 steel bolts is selected.
Let
= <u><em>sample mean diameter</em></u>
The z score probability distribution for sample mean is given by;
Z =
~ N(0,1)
where,
= population mean diameter = 141 millimetres
= standard deviation = 7 millimetres
n = sample of steel bolts = 39
Now, Percentage the sample mean would be greater than 141.4 millimetres is given by = P(
> 141.4 millimetres)
P(
> 141.4) = P(
>
) = P(Z > 0.36) = 1 - P(Z
0.36)
= 1 - 0.6406 = <u>0.3594</u>
The above probability is calculated by looking at the value of x = 0.36 in the z table which has an area of 0.6406.
Answer:
A-does not exist
Step-by-step explanation:
The pythagorian theorem :
- 12²+x²= (x-2)²
- 144+x²= x²-4x+4
- 144-4+x²-x²= -4x
- 140 = -4x
- x = 140/-4
- x= -35
That's absurd . A side cannot be negative since it's a distance
It was obvious from the beginning since one of the sides is greater than the hypotenus wich is impossible x≥x-2
Answer:
153.9
Step-by-step explanation:
You use the formula πr^2 for the area, where r is the radius of the circle which is equal to half the diameter