Answer:
x = 12
m∠A = 104º
m∠B = 32º
m∠C = 44º
shortest side = B
middle side = C
longest side = A
Step-by-step explanation:
Recall that all angles in a triangle add up to 180º. Also recall that the side opposite largest angle is the longest side, and vice versa for the side opposite the smallest angle.
Answer:
c) H0 : p = 5.8%
H1 : p > 5.8%
Step-by-step explanation:
At the null hypothesis, we test that the percentage is equal to a certain value. At the alternate hypothesis, we have a test about this percentage, if it is more, less, or different from the tested value.
A psychologist claims that more than 5.8 percent of the population suffers from professional problems due to extreme shyness
At the null hypothesis, we test if the percentage is 5.8%
At the alternate hypothesis, we test if this percentage is more than 5.8%. So
This means that the correct answer is given by option c.
You must drive more than 40 miles to make option A the cheaper plan
<em><u>Solution:</u></em>
Two payment options to rent a car
Let "x" be the number of miles driven in one day
<em><u>You can pay $20 a day plus 25¢ a mile (Option A)</u></em>
25 cents is equal to 0.25 dollars
OPTION A : 20 + 0.25x
<em><u>You pay $10 a day plus 50¢ a mile (Option B)</u></em>
50 cents equal to 0.50 dollars
Option B: 10 + 0.50x
<em><u>For what amount of daily miles will option A be the cheaper plan ?</u></em>
For option A to be cheaper, Option A must be less than option B
Option A < Option B
Solve the inequality
Add -0.50x on both sides
Add - 20 on both sides,
Divide both sides by 0.25
Thus you must drive more than 40 miles to make option A the cheaper plan