Answer:
x= 105
y= 40
Step-by-step explanation:
3y=4y-40 because they are alternate interior
Solve for y.
y=40
4y-40=x+15 because they are vertical angles.
Substitute 40 in for y.
4(40)-40=x+15
Solve.
x=105
Answer:
Step-by-step explanation:
Range goes from the lowest point on a graph to the highest point, not including anything in between those 2 extremes. We will evaluate the quadratic for the values given. First f(2):
so
f(2) = -1
Now, f(4):
so
f(4) = 11
Now, f(7):
so
f(7) = 44
The lowest y value is -1 and the highest is 44, so the range is from -1 to 44 (I can't tell which of your choices reflects that because it's too small!)
The required probability is 
<u>Solution:</u>
Given, a shipment of 11 printers contains 2 that are defective.
We have to find the probability that a sample of size 2, drawn from the 11, will not contain a defective printer.
Now, we know that, 
Probability for first draw to be non-defective 
(total printers = 11; total defective printers = 2)
Probability for second draw to be non defective 
(printers after first slot = 10; total defective printers = 2)
Then, total probability 
Answer:
Valentina and Laura finished the same total number of shirts in
hours.
Total number of shirts finished by Valentina 
Total number of shirts finished by Laura 
Step-by-step explanation:
Suppose that Valentina and Laura finished the same total number of shirts in
hours.
Valentina can embroider 2 shirts per hour and Valentina has already completed 15 shirts.
Total number of shirts finished by Valentina 
Laura can get through 3 shirts per hour and Laura has completed 11 shirts.
Total number of shirts finished by Laura 
Therefore,

So,
Valentina and Laura finished the same total number of shirts in
hours.
Total number of shirts finished by Valentina 
Total number of shirts finished by Laura 