If you would like to solve 9 5/9 - 6 5/6, you can calculate this using the following steps:
9 5/9 - 6 5/6 = 86/9 - 41/6 = 516/54 - 369/54 = (516 - 369) / 54 = 147/54 = 49/18 = 2 13/18
The correct result would be 2 13/18.
B! If you draw the line of symmetry diagonally, you have two triangles
Answer: 12
Step-by-step explanation:
The formula to find the sample size is given by:-
, where 
is the population standard deviation, 
is the z-value for the 
confidence interval and E is the margin of error .
As per given , we have
Population standard deviation : 
z-value for 95% confidence interval : 
Margin of error : E= 3
Then, the required minimum sample :-
Hence, the required minimum sample size = 12
Answer:
a) y = 0.74x + 18.99; b) 80; c) r = 0.92, r² = 0.85; r² tells us that 85% of the variance in the dependent variable, the final average, is predictable from the independent variable, the first test score.
Step-by-step explanation:
For part a,
We first plot the data using a graphing calculator. We then run a linear regression on the data.
In the form y = ax + b, we get an a value that rounds to 0.74 and a b value that rounds to 18.99. This gives us the equation
y = 0.74x + 18.99.
For part b,
To find the final average of a student who made an 83 on the first test, we substitute 83 in place of x in our regression equation:
y = 0.74(83) + 18.99
y = 61.42 + 18.99 = 80.41
Rounded to the nearest percent, this is 80.
For part c,
The value of r is 0.92. This tells us that the line is a 92% fit for the data.
The value of r² is 0.85. This is the coefficient of determination; it tells us how much of the dependent variable can be predicted from the independent variable.
Answer:
see explanation
Step-by-step explanation:
The first 3 terms of the arithmetic progression are
4, 13, 22, ...
(a)
with d = 13 - 4 = 22 - 9 = 9 ← common difference
(b)
The largest sector is the 9 th and the n th term is
= a + (n - 1)d
where a is the first term = 4, thus
= 4 + (8 × 9 ) = 4 + 72 = 76°
