Answer: Yes
Step-by-step explanation:
You could subtract the measure of the first angle from 90 degres to find the measure of the second angle.
Answer:
f(5.9)= 15.7
Step-by-step explanation:
f(x) = 3x -2
f(5.9) = 3(5.9) -2
f(5.9) = 17.7 -2
f(5.9) = 15.7
Word Explination
If the (x) in f(x) is replaced by another variable (in this case, a number) any other x seen in the equation is replaced by that variable. For this question, the x in f(x) is replaced by 5.9. And so any other x in this equation needs to be replaced by 5.9 as well. From there on out, you solve.
Answer: a. 69.72 ± 1.37
Step-by-step explanation:
We want to determine a 90% confidence interval for the mean height (in inches) of adult men in the United States.
Number of sample, n = 25
Mean, u = 69.72 inches
Standard deviation, s = 4.15
For a confidence level of 90%, the corresponding z value is 1.645. This is determined from the normal distribution table.
We will apply the formula
Confidence interval
= mean ± z × standard deviation/√n
It becomes
69.72 ± 1.645 × 4.15/√25
= 69.72 ± 1.645 × 0.83
= 69.72 ± 1.37
The lower end of the confidence interval is 69.72 - 1.37 = 68.35
The upper end of the confidence interval is 69.72 + 1.37 = 71.09
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Answer:
20 apples
Step-by-step explanation:
First, there are 320 apples that need to be split up between the siblings. We are first working with percentages. The total amount will be 100 percent. James has 45% and his brother has 30%. 45% + 30% is 75%. We subtract that from 100% and get 25%. That means that Eden gets 25% of 320 apple's. That's 320 * .25 or 320 / 4. That is 80 apples for Eden. If she gives 75% of her 80 apples, that means she gives 60 apples away. 80*.75 = 60. Eden would then only have 20 apples left. 80-60=20.
