Answer:
cos Ф = adj / hyp = √5 / 3
Step-by-step explanation:
If sin Ф is +, then Ф must be in either Quadrant 1 or Quadrant 2.
If tan Ф < 0, then Ф must be in either Quadrant 2 or Quadrant 3.
So we conclude that Ф is in Quadrant 2.
If sin Ф = opp / hyp = 2/3, then opp = 2 and hyp = 3, and adj is found using the Pythagorean Theorem:
adj = √( 3² - 2² ) = √( 5 )
With adj = √5 and hyp = 3, cos Ф = adj / hyp = √5 / 3
Let s be the scale factor then:
4s=10 and 6s=15
s=10/4 and s=15/6
s=5/2 and s=5/2
s=2.5
The scale factor is 2.5.
Answer:
2.
Step-by-step explanation:
Answer:
c) 95% of all random samples of customers will show that 82% to 94% oders arrive on time
Step-by-step explanation:
From problem statement we take 88 as a mean of a normal distribution, in that case we know, about relation between mean and standard deviation
μ ± σ ⇒ [ μ - σ ; μ + σ ] ⇒ [ 88 - 6 ; 88 + 6 ] ⇒ [ 82 ; 94 ]
The above mentioned interval get 95.7 % of all values for a normal distribution, so we must be sure that a 95 % of all random samples of customers will show that 82% to 94% of orders arrive on time
Set the first number as x.
Note that three consecutive integers are 3 numbers that are 1 greater than the previous.
(x) + (x + 1) + (x + 2) = 72
Simplify. Combine like terms
3x + 3 = 72
Isolate the x. Note the equal sign. What you do to one side, you do to the other. Do the opposite of PEMDAS. First, subtract 3 from both sides
3x + 3 (-3) = 72 (-3)
3x = 69
Next, divide 3 from both sides
3x/3 = 69/3
x = 23
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23 is your first answer
Plug in 23 for each x.
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(x) + (x + 1) + (x + 2) = 72
(x) = 23
(x + 1) = 23 + 1 = 24
(x + 2) = 23 + 2 = 25
23, 24, 25 are your answers
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<em>~Rise Above the Ordinary</em>
