Answer: 1 1/2 yards of yarn
Step-by-step explanation: For this problem, we will simply be multiply 1/2 yard by 3 to get the amount of yard that Ahlam will need.
1/2 x 3/1 = 3/2 or 1 1/2 yards of yarn. Basically you multiply the top of the fractions first (1 x 3) = 3 Then, you multiply the bottom of the fractions second (2 x 1) = 2 (3/2 or 1 1/2)
Answer: First option is correct.
Step-by-step explanation:
Since we have given that
PA = 22
PB = 22+40=62
PC = 26
PD = 26+d
As we know the rule of tangents :
PA.PB=PC.PD

Hence, First option is correct.
I beleive the answer is C
Answer:
Regression function: 
The function predicts that population will reach 14,000 in year 2068.
Step-by-step explanation:
We have to determine a function
by applying linear regression. The data we have is 5 pair of points which relates population to year.
According to the simple regression model (one independent variable), if we minimize the error between the model (the linear function) and the points given, the parameters are:
We start calculating the average of x and y

The sample covariance can be calculated as

The variance of x can be calculated as

Now we can calculate the parameters of the regression model

The function then become:

With this linear equation we can predict when the population will reach 14,000:

7 divided by 3 is 3.5
half of 6 is 3 and you can't evenly divided 7 by 2 so you would say that
3.5
+ 3.5
__________
7