So pretty much you can get 2 pieces out of each cake with 1/2 left over. Now do this, 2+2+2+2+2=10 now take that 1/2 and do this .5+.5+.5+.5+.5= 2.5 now add that to the 10 and that is your answer
$1000 dollars is how much you need to pay for the trip.
You already have $350.
$1000 - $350 = $650. So, you need to make $650 more.
$650 <span>÷ 8 = 81.25
So you final answer is: 81.25 hours.
Hope this helped you! :D
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Answer:
We reject the null hypothesis.
Step-by-step explanation:
We are given the following information in the question:
Sample size, n = 71
Population variance is known.
Level of significance, α = 0.08
The null and alternate hypothesis are:
We use one-tailed z test to perform this hypothesis.
Formula:
Now, 
Since,
We fail to accept the null hypothesis and reject it and accept the alternate hypothesis.
Answer:
Resultant speed = 12 km/h.
Bearing is 107.14 degrees.
Step-by-step explanation:
This can be represented by a triangle of velocities with lengths 15 and 5 with the included angle = 45 degrees.
To find the velocity of the resultant we use cosine rule:
v^2 = 15^2 + 5^2 - 2*5*15cos 45
v^2 = 143.934
v = 12.0 km/h to the nearest tenth.
To find the bearing we use the sine rule to find the angle down from due east>
12 / sin 45 = 5/ sin x
sin x = 5 sin 45 / 12 = 0.2946278
x = 17.14 degrees.
Bearing is therefore 90 + 17.14 = 107.14 degrees.
