Answer:
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Answer:
Step-by-step explanation:
combine like terms (6n-4n)=(5-15)
2n=-20
n=20/2
n=10
Answer:
a. 0.17
b. 0.95
Step-by-step explanation:
The key to answering both questions is that we should understand that the probability of an event happening = 1 - the probability of the event not happening
Firstly, we want to calculate the probability of less than four
Probability of less than four = 1 - probability of four or more heads
that is 1 - 0.83 = 0.17
Probability of less than 8 = 1 - probability of 8 or more = 1-0.05 = 0.95
Answer:
Sin of x does not change
Step-by-step explanation:
Whenever a triangle is dilated, the angle remains the same as well as the ratio for sides of triangle. For smshapes with dimensions, when shapes are dilated the dimensions has increment with common factor.
From trigonometry,
Sin(x)=opposite/hypotenose
Where x=4/5
Sin(4/5)= opposite/hypotenose
But we were given the scale factor of 2 which means the dilation is to two times big.
Then we have
Sin(x)=(2×opposite)/(2×hypotenose)
Then,if we divide by 2 the numerator and denominator we still have
Sin(x)=opposite/hypotenose
Which means the two in numerator and denominator is cancelled out.
Then we still have the same sin of x. as sin(4/5)
Hence,Sin of x does not change
Answer:
16) 6%
17) 4 years
18) 2 years
Step-by-step explanation:
The formula for these questions is I = PRT
16) 27 = 900 (R) (0.5)
Notice how I used 0.5 instead of 6 for the T. T has to be measured in years, not months and 6 months is half a year.
R = 0.06 = 6 %
17) 480 = 2000 (0.06) (T)
T = 4 years
18) 1080 = 4500 (0.12) (T)
T = 2 years
