Answer:
The two step equation that we can use to find michael's age is x = (f-2)/4 where f = 30. So Michael is 7 years old.
Step-by-step explanation:
In order to solve this problem we will attribute variables to the ages of Michael and his father. For his father age we will attribute a variable called "f" and for Michael's age we will attribute a variable called "x". The first information that the problem gives us is that Michael's dad is 30 years of age, so we have:
f = 30
Then the problem states that the age of the father is 2 years "more" than four "times" Michaels age. The "more" implies a sum and the "times" implies a product, so we have:
f = 2 + 4*x
We can now find Michael's age, for that we need to isolate the "x" variable. We have:
f - 2 = 4*x
4*x = f - 2
x = (f-2)/4
x = (30 - 2)/4 = 7 years
The two step equation that we can use to find michael's age is x = (f-2)/4 where f = 30. So Michael is 7 years old.
The domain would negative infinity to positive infinity . Domain would be the smallest through the largest possibly value of X. If you also need the range it’s ( -4,infinity]
Answer:
(12÷2)×8
Step-by-step explanation:
Answer:
70 degrees
Step-by-step explanation:
Since the angles of a triangle have to add up to 180 degrees, you know that the third angle of the triangle on the left would be 180 - 60 - 65 = 55 degrees. Then, since the angles on a straight line have to add up to 180 degrees you could find one of the two missing angles of the second triangle by doing
180 - 55 - 50 = 75.
Then, you have 2 out of the 3 angles of the triangle on the right and you can find the third, the ?, by doing 180 - 75 - 35 = 70 degrees
Answer:
H0 : flavor and serving size are independent
H1: Flavor and serving size are not independent
Step-by-step explanation:
The claim or hypothesis is to test if there is a relationship between the different types of flavor (vanilla, strawberry and chocolate) and the size (large, medium and. Small) being ordered. This is the the Alternative hypothesis, in other words to establish that flavor type and size are not independent, (that is the two variables are correlated).
The Null hypothesis will be the opposite of the alternative, establish that both variables are independent.
Hence ;
Null hypothesis ; H0 : flavor and serving size are independent
Alternative ; H1: Flavor and serving size are not independent