Answer:
116 degrees
Step-by-step explanation:
Supplementary Angles=180 degrees
64+x=180
180-64=116
116=116
Answer:
x= −1/3 y+5/3
Step-by-step explanation:
Let's solve for x.
y=−3x+5
Step 1: Flip the equation.
−3x+5=y
Step 2: Add -5 to both sides.
−3x+5+−5=y+−5
−3x=y−5
Step 3: Divide both sides by -3.
−3x
−3
=
y−5
−3
x=
−1
3
y+
5
3
For this case we have that the cost of each pizza is given by the following function:

Where:
r: It's the radius of the pizza
IF a pizza cost $26.32 we have:

We cleared the radius, using
:

We choose the positive value:

So, the radius of the pizza is 
Then, the diameter is: 
Finally, the diameter of the pizza is:
Answer:
Option B
Answer:
The z-score for SAT exam of junior is much small than his ACT score. This means he performed well in his ACT exam and performed poor in his SAT exam.
Step-by-step explanation:
Mean SAT scores = 1026
Standard Deviation = 209
Mean ACT score = 20.8
Standard Deviation = 4.8
We are given SAT and ACT scores of a student and we have to compare them. We cannot compare them directly so we have to Normalize them i.e. convert them into such a form that we can compare the numbers in a meaningful manner. The best way out is to convert both the values into their equivalent z-scores and then do the comparison. Comparison of equivalent z-scores will tell us which score is higher and which is lower.
The formula to calculate the z-score is:

Here, μ is the mean and σ is the standard deviation. x is the value we want to convert to z score.
z-score for junior scoring 860 in SAT exam will be:

z-score for junior scoring 16 in ACT exam will be:

The z-score for SAT exam of junior is much small than his ACT score. This means he performed well in his ACT exam and performed poor in his SAT exam.