The angle between two vectors is given by:
cos (x) = (v1.v2) / (lv1l * lv2l)
We have then:
v1.v2 = (2, -5). (4, -3)
v1.v2 = (2 * 4) + (-5 * (- 3))
v1.v2 = 8 + 15
v1.v2 = 23
We look for the vector module:
lv1l = root ((2) ^ 2 + (-5) ^ 2)
lv1l = 5.385164807
lv2l = root ((4) ^ 2 + (-3) ^ 2)
lv2l = 5
Substituting values:
cos (x) = (23) / ((5.385164807) * (5))
x = acos ((23) / ((5.385164807) * (5)))
x = 31.33 degrees
Answer:
The angle between the two vectors is:
x = 31.33 degrees
Negative divided by negative makes a positive
Answer and Step-by-step explanation:
We know that t is in minutes, and 1 hours is equal to 60 minutes, so we plug in 60 for t.
C = 0.25(60) + 3.50
C = 15 + 3.50
C = 18.50
<em><u>The cost to rent the canoe is $18.50.</u></em>
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<em><u>#teamtrees #PAW (Plant And Water)</u></em>
Multiplication would be first
Answer:
0.024
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean
and standard deviation 
Suppose the true proportion of high school juniors who skateboard is 0.18.
This means that 
Samples of 250 high school juniors are taken
This means that 
By how much would their sample proportions typically vary from the true proportion?
This is the standard error, so:



So 0.024 is the answer.