Hi! Your answer is q = -9
Please see an explanation for a better and clear understanding to your problem.
Any questions about my answer and explanation can be asked through comments! :)
Step-by-step explanation:
Since we want to solve for q-term. That means we are going to isolate q-term.

We can add 4 and 9 together.

Because we want to know the value of q. That means we have to isolate q-term by subtracting both sides by 13.

We are reaching to the final step where we divide the whole equation by 3.

Finally, the solution for this equation is q = -9. But what if you are not certain or sure about the answer? Let's check it out!
To check the answer, simply substitute q = -9 in the equation.

Notice that the equation is true for q = -9. Hence, we can conclude that the solution for this equation is q = -9.
Hope this helps!
Answer:
The probability is 0.2, or 20%.
Step-by-step explanation:
A probability is the ratio of the number of relevant outcomes and the number of all possible outcomes. If we know that the marble drawn is not red, the number of possible outcomes N is
N = (number of blue marbles) + (number of green marbles) = 25
and the number of relevant outcomes (marble being green) is n:
n = (number of green marbles) = 5
So, the probability is
P = n / N = 5 / 25 = 1 / 5 or 0.2, or 20%
Answer:
A yes ; it can be rotated 360° or less and match the original figure
Answer:
C. Ratio
True for this case we have a clear definition of the 0 since the 0 for the heigth and the weigth represent absence of mass. And the differences between numerical values for the two variables are meaingful.
Step-by-step explanation:
We want to know which type of variable represent the weigth and the height. Let's analyze one by one the options given:
A. Ordinal
False since by definition an ordinal variable is "is a categorical variable for which the possible values are ordered". And for this case the height and the weigth are not categorical since represent quantitative data.
B. Nominal
False by definition and ordinal variable is which one that can't be represented by numeric values, and for this case the weight and the height are not example of this definition.
C. Ratio
True for this case we have a clear definition of the 0 since the 0 for the heigth and the weigth represent absence of mass. And the differences between numerical values for the two variables are meaingful.
D. Interval
False on this scale we don't have a clear definition of the 0. And for this case the heigth and the weight have a known definition of the 0 corresponding to the absence of mass. And since the ratios are meaingful for the heigth and the weigth then can't be an interval variable.
Answer:
a) 50 degrees
b) 21 degrees
c) 64 degrees
d) 70 degrees
e) 105 degrees
Step-by-step explanation: