Which of the following are solutions to | x+3 = 4x - 7? Check all that apply.
1 answer:
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Answer:
Y = 32.7°
Step-by-step explanation:
We will apply the Cosine law in the given triangle XYZ,
x = 90 ft
y = 55 ft
z = 50 ft
We have to find the measure of angle Y.
y² = x² + z² - 2xzCosY
(55)² = (90)² + (50)² - 2(90)(50)cosY
3025 = 8100 + 2500 - 9000.cosY
9000.cosY = 10600 - 3025
cosY =
= 0.84167
Y =
Y = 32.68 ≈ 32.7°
Therefore, measure of angle Y = 32.7°
Answer:
The value of the test statistic and degrees of freedom is 2.148 and 11 respectively.
Step-by-step explanation:
Consider the provided information.
The mean annual tuition and fees for a sample of 12 private colleges was 36,800 with a standard deviation of 5,000 .
Thus, n = 12, σ = 5000
degrees of freedom = n-1 = 12-1 = 11
Formula to find the value of z is:
Where is mean of sample, μ is the mean of population, σ is the standard deviation of population and n is number of observations.
Hence, the value of the test statistic and degrees of freedom is 2.148 and 11 respectively.