The population of a city in the year 2000 was 4,400. In 2010, the population was 5,060. Find the percent increase in the populat
2 answers:
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Step-by-step explanation:
Probability=
Probability for a randomly chosen girl to be senior=
Probability for a randomly chosen girl to be senior=
Probability for a randomly chosen boy to be senior=
Probability for a randomly chosen girl to be senior=
For two independent events,
Probability for both event 1 and event 2 to take place=
Since choosing boys and girls is independent,
Probability for both boy an girl chosen to be senior=
Probability for both boy and girl chosen to be senior=
So,required probability is
Answer:
<h2>3.6°</h2>Step-by-step explanation:
The question is incomplete. Here is the complete question.
Find the angle between the given vectors to the nearest tenth of a degree.
u = <8, 7>, v = <9, 7>
we will be using the formula below to calculate the angle between the two vectors;
is the angle between the two vectors.
u = 8i + 7j and v = 9i+7j
u*v = (8i + 7j )*(9i + 7j )
u*v = 8(9) + 7(7)
u*v = 72+49
u*v = 121
|u| = √8²+7²
|u| = √64+49
|u| = √113
|v| = √9²+7²
|v| = √81+49
|v| = √130
Substituting the values into the formula;
121= √113*√130 cos θ
cos θ = 121/121.20
cos θ = 0.998
θ = cos⁻¹0.998
θ = 3.6° (to nearest tenth)
Hence, the angle between the given vectors is 3.6°