Answer:
(5,12)
Step-by-step explanation:
because 18-13=5 and 20-8=12
AC is a tangent so by definition, it touches the circle at exactly one point (point C) and forms a right angle at the tangency point. So angle ACO is 90 degrees
The remaining angle OAC must be 45 degrees because we need to have all three angles add to 180
45+45+90 = 90+90 = 180
Alternatively you can solve algebraically like so
(angle OAC) + (angle OCA) + (angle COA) = 180
(angle OAC) + (90 degrees) + (45 degrees) = 180
(angle OAC) + 90+45 = 180
(angle OAC) + 135 = 180
(angle OAC) + 135 - 135 = 180 - 135
angle OAC = 45 degrees
Side Note: Triangle OCA is an isosceles right triangle. It is of the template 45-45-90.
The answer is D hope it help
Answer:
The correct null hypothesis in words is:
D. The long-run proportion of private colleges in the US, that have tenure-track faculty is 0.5.
Step-by-step explanation:
He wants to test the claim that the proportion of private schools that have avenues for professors to apply for tenure is significantly higher than 0.5, as happen with the public schools.
Then, the alternative hypothesis is:
The null hypothesis represents the opposite claim, where the proportion is not significantly higher than 0.5. Then, the null hypothesis is expressed as:
The correct null hypothesis in words is:
D. The long-run proportion of private colleges in the US, that have tenure-track faculty is 0.5.
When working with percents, don't divide them, because it will give you the wrong answer. So you must find the equivalent of the percent you're working with in decimal form, then multiply it by your number.
So, you would do 550 X .24 which equals 132 customers.
