Answer:
Pythagorian theorem:
7^2=13+b^2 -> b^2=49-13=36
The square root of 36 is obviously 6.
So, the other leg has a length of 6 inches
Step-by-step explanation:
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Correlation Coefficient (r) = 0.989
alph=0.05
Number of observations (n) = 8
determine if there is a linear correlation between chest size and weight.
Yes, there exists a linear relationship between chest size and weight as the value of the correlation Coefficient exceeds the critical value.
What proportion of the variation in weight can be explained by the linear relationship between weight and chest size?
To determine the the proportion of variation in weight that can be explained by the linear regression line between weight and chest size, we need to obtain the Coefficient of determination(r^2) of the model.
r^2 = square of the correlation Coefficient
r^2 = 0.989^2 = 0.978121
Hence, about 0.978 (97.8%) of the variation in weight can be explained by the linear relationship between weight and chest size.
Step-by-step explanation:
If the tens digit of the number is X and the ones digit is Y then the number is equal to 10*X + Y
If you reverse the digits then the number is equal to 10*Y + X
If reversing the digits decreases the number by 36 then
10*Y + X = 10*X + Y - 36
The sum of the digits is 4 so X + Y = 4 ==> X = 4 - Y
Substitute this value of X into the 1st equation
10*Y + (4 - Y) = 10*(4 - Y) + Y - 36
9*Y + 4 = 40 - 9*Y - 36
18*Y = 0
Y = 0
I hope it helps you
So X = 4 - 0 = 4 and the number is 40
so, let's check 40 - 04 = 36
Answer:
We conclude that the total amount accrued, principal plus interest, from compound interest on an original principal of $2500 at a rate of 5% per year compounded 6 times per year over 8 years is $3723.38.
Step-by-step explanation:
Given
Principle P = $2500
Interest rate r = 5% = 0.05
Time period t = 8 years
To determine
Accrue Amount A = ?
Using the compound interest equation

where:
A represents the Accrue Amount
P represents the Principal Amount
r represents the interest rate
t represents the time period in years
n represents the number of compounding periods per unit t
Important tip:
- Given that the interest is compounded 6 times each year, therefore, the value of n = 6.
now substituting P = 2500, r = 0.05, t = 8 and n = 6 in the equation



∵ 
$
Therefore, we conclude that the total amount accrued, principal plus interest, from compound interest on an original principal of $2500 at a rate of 5% per year compounded 6 times per year over 8 years is $3723.38.
Xy = 12 because if you look at the pattern the top one is 16 and the bottom one is 8 so the middle of those would be 12.