Answer:
y=1/2x+5
Step-by-step explanation:
first you have to find the slope by using 
so when you plot in your points and you will get 1/2x.
then you need to find your y-intercept
and since you don't have a 0 you have to slove by using y=mx+b (slope-intercept) formula
you plug in your points and you will get
b=5 and that is how you get your equation.
Let s represent the measure of the second angle.
The measure of the first angle is 15° less than the second, so we can represent the first angle by (s-15).
The measure of the third angle is 45° more than half the second, so we can represent the third angle by (45+(s/2)).
The sum of these angles is 180°, so we can represent the sum as
... (s-15) + s + (45+s/2) = 180
Collecting terms, we have
... 2.5s +30 = 180
... 2.5s = 150 . . . . . . subtract 30
... s = 150/2.5 = 60 . . . . divide by the coefficient of s
The first angle is 60-15 = 45.
The second angle is 60.
The third angle is 45+60/2 = 75.
_____
<u>Check</u>
The sum of the three angles is 45 +60 +75 = 180.
Answer: -11, -3, 17
Step-by-step explanation:
There are three answers depending on what x equals. In this case, x can equal: -2, 0, or 5.
Part 1:
Step 1: Substitute -2 for x
-3 + 4(2)
Step 2: Solve
-3 + 8 = 5
This is the first answer
Part 2:
Step 1: Substitute 0 for x
-3 + 4(0)
Step 2: Solve
-3 + 0 = -3
This is the second answer
Part 3:
Step 1: Substitue 5 for x
-3 + 4(5)
Step 2: Solve
-3 + 20 = 17
This is the third answer
Answer:
The 80% confidence level estimate for how much a typical parent would spend on their child's birthday gift is between $33.954 and $35.246.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution should be used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 28 - 1 = 27
80% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 27 degrees of freedom(y-axis) and a confidence level of 
. So we have T = 1.314
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 34.6 - 0.646 = $33.954
The upper end of the interval is the sample mean added to M. So it is 34.6 + 0.646 = $35.246
The 80% confidence level estimate for how much a typical parent would spend on their child's birthday gift is between $33.954 and $35.246.
Given that Jaquelyn was tardy on Monday, there is a 12 percent chance she will be late on Tuesday as well.
What is the Probability?
How likely it is that a stated event would occur is assessed using probability. The event would have a probability of 1 if it happened with certainty. The probability of an occurrence would be zero if it were absolutely guaranteed that it would not occur.
As getting late on Monday and Tuesday are independent events, their probabilities can be multiplied.
So the probability of getting late on Tuesday, given she was late to school on Monday = Probability of being late on Monday x Probability of she being late on Monday and she is late on Tuesday 60% of the time.
= 0.2 x 0.6
= 0.12
Thus the approximate probability that Jaquelyn will be late on Tuesday, given she was late to school on Monday will be 0.12
Learn more about Probability here :
brainly.com/question/11234923
#SPJ1
