To find the distance you would use the distance formula which is:
This equals:
The rope tied to the tree will make a triangle.
The height of the triangle = 180cm
The base of the triangle = 200cm
to find how much rope you need, work out the hypotenuse using Pythagoras:
180^2 + 200^2 = 72400
√72400 = 269.0724809
This is the length of rope he needs, however you need to +30 as this is what he will need when he ties the rope:
269.0724809 + 30 = 299.0724809
299.0724809 is less than the 270cm of rope he has, so he would need more.
Answer:
Let's simplify step-by-step.
0.8x+19−0.7x
=0.8x+19+−0.7x
Combine Like Terms:
=0.8x+19+−0.7x
=(0.8x+−0.7x)+(19)
=0.1x+19
Answer:
=0.1x+19
Step-by-step explanation:
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Answer:
B. $ 1.30
Step-by-step explanation:
Answer:
With n = 50, both conditions(np > 5, n(1-p) > 5) are satisfied, so a random sample of 50 cars would have been large enough.
Step-by-step explanation:
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to the normal distribution if:
np > 5, n(1-p) > 5
70% of the drivers traveling on a major interstate highway exceed the speed limit.
So p = 0.7.
Would a random sample of 50 cars have been large enough and why?
With n = 50
np = 50*0.7 = 35 > 5
n(1-p) = 50*0.3 = 15 > 5
With n = 50, both conditions(np > 5, n(1-p) > 5) are satisfied, so a random sample of 50 cars would have been large enough.
