Find y. Round to the nearest tenth: у 270 350 ft y = [? ]ft
2 answers:
Answer:
178.3
Step-by-step explanation:
Hello There!
We can find the value of y using trigonometry
These are the trigonometric ratios
Remember SOHCAHTOA
Sine = Opposite over Hypotenuse
Cosine = Adjacent over Hypotenuse
Tangent = Opposite over Adjacent
For the angle that has a measure of 27 degrees
we are given its adjacent angle and we need to find its opposite angle (y)
Adjacent and Opposite sides corresponds with the trigonometric ratio Tangent so we are going to use the trigonometric ratio tan to solve for y
Now we set up an equation (remember tangent = opposite over adjacent)
Now that we have created an equation we want to solve for y
What we want to do is isolate the variable using inverse operations
So basically we want to get rid of the 350
The opposite of division is multiplication so we multiply each side by 350 to get rid of it
so we can conclude that y = 178.3339073
finally we want to round to the nearest tenth and we get that the answer is 178.3
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Answer
given,
mean = 12 Kg
standard deviation = 0.5 Kg
assume the observed statistic is = 11.1
now,
assuming the number of sample = 4
n = 4
Hypothesis test:
H₀ : μ≥ 12
Ha : μ < 12
now,
significant level α = 0.05
z* = -3.60
Test statistics, Z* = -3.60
P-value
P(Z<-3.60) = 0.002 (from z- table)
P- value = 0.002
now,
reject the value of H₀ when P-value < α
0.002 < 0.05
since, it is less P-value < α , we have to reject the null hypothesis
Answer: (2;-9).
Step-by-step explanation: