Answer:
Step-by-step explanation:
Supplementary angles add up to 180°.
“θ is 148° more than its supplement”
Supplement of θ = 180°-θ
θ = (180°-θ) + 148°
2θ = 328°
θ = 164°
Supplement of θ = 180°-164° = 16°
Answer:
75% confidence interval is 91.8±16.66. That is between 75.1 and 108.5 pounds.
Step-by-step explanation:
The question is missing. It is as follows:
Adult wild mountain lions (18 months or older) captured and released for the first time in the San Andres Mountains had the following weights (pounds): 69 104 125 129 60 64
Assume that the population of x values has an approximately normal distribution.
Find a 75% confidence interval for the population average weight μ of all adult mountain lions in the specified region. (Round your answers to one decimal place.)
75% Confidence Interval can be calculated using M±ME where
- M is the sample mean weight of the wild mountain lions ()
- ME is the margin of error of the mean
And margin of error (ME) of the mean can be calculated using the formula
ME= where
- t is the corresponding statistic in the 75% confidence level and 5 degrees of freedom (1.30)
- s is the standard deviation of the sample(31.4)
Thus, ME= ≈16.66
Then 75% confidence interval is 91.8±16.66. That is between 75.1 and 108.5
To start off, simplify the equation if needed:
3m>=21
Since both sides are divisible by 3, you can simplify for the equation to be
m>=7
Next is to find the domain of the line graph. Since the sign is more than or equal to (>=), the circle is closed.
And since m is MORE THAN OR EQUAL TO, the section starts at 7 (closed circle), and continues after. Therefore, your answer will be the third selection.