Answer:
k = 4
Step-by-step explanation:
Given that a varies directly as b then the equation relating them is
a = kb ← k is the constant of variation
To find k use the condition a = 8 when b = 2
k = =
= 4
Question 15 I mark as brainliest
1 answer:
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9514 1404 393
Answer:
D
Step-by-step explanation:
In the second quadrant, ...
c = 180° -arcsin(24/25) ≈ 106.26°
In the third quadrant, ...
d = 360° -arccos(-3/4) ≈ 221.41°
Then cos(c+d) = cos(327.67°) ≈ 0.84498
This is a positive irrational number, greater than 21/100, so the only reasonable choice is the last one:
_____
Perhaps you want to work this out using the trig identities.
cos(c) = -√(1 -sin(c)²) = -7/25
sin(d) = -√(1 -cos(d)²) = -(√7)/4
Then the desired cosine is ...
cos(c+d) = cos(c)cos(d) -sin(c)sin(d)
cos(c+d) = (-7/25)(-3/4) -(24/25)(-√7/4)
cos(c+d) = (21 +24√7)/100 . . . . matches choice D
Answer:
1/2 or 0.50
Step-by-step explanation:
To find the probability of getting either blue or green on a spinner, we must add both probabilities together.
To make adding our two fractions easier, we need to make sure they have like denominators.
Now that the denominators of our probabilities are the same, we can add them together to get our answer.
or
Answer:
Step-by-step explanation:
From the question we are told that:
Sample size n=100
Sample space n'=36
Generally the equation for the mean number of times odds appears is mathematically given by
Generally the equation for standard deviation is mathematically given by
Therefore probability to make wrong decision P(n>55)