Which lists the side lengths in order from shortest to longest?
1 answer:
Answer:
A. d, e, f
Step-by-step explanation:
Suppose there is a triangle DEF in which,
EF = d, DF = e, DE = f, ∠D = 48°, ∠F = 73°,
∵ Sum of all interior angles of a triangle is 180°,
⇒ ∠D + ∠F + ∠E = 180°,
⇒ 48° + 73° + ∠E = 180°,
⇒ 121° + ∠E = 180°,
⇒∠E = 59°,
Now, in a triangle the angle opposite to the largest side is largest, opposite to medium angle is medium and opposite to the smallest side is smallest,
∵ ∠F > ∠E > ∠D
By the above statement,
f > e > d
Hence, FIRST OPTION is correct.
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Complete Question:
The mean hourly wage for employees in goods-producing industries is currently $24.57 (Bureau of Labor Statistics website, April, 1 2, 201 2). Suppose we take a sample of employees from the manufacturing industry to see if the mean hourly wage differs from the reported mean of $24.57 for the goods-producing industries. State the null and alternative hypotheses we should use to test whether the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries
Answer:
Null hypothesis, H₀ : μ = 24.57
Alternative hypothesis, : μ ≠ 24.57
Step-by-step explanation:
The mean hourly wage for the goods producing industry = $24.57
Since we want to see if the mean of hourly wage for the manufacturing industry is equal to $24.57( The mean f hourly wage for the good producing industry)
Therefore the, null hypothesis will be that there is no significant difference between the means of the hourly wages of both the goods producing and the manufacturing industries, while the alternative hypothesis will be that the means of their hourly wages are significantly different
Null hypothesis, H₀ : μ = 24.57
Alternative hypothesis, : μ ≠ 24.57