Answer:
C
Step-by-step explanation:
The last one.
Hope this helped!
Answer:
Step-by-step explanation:
The initial height of a Japanese maple sapling is 14 inches.
The tree is expected to grow 2.5 inches each month. This increase in height is linear, thus it is in arithmetic progression.
The expression for arithmetic progression is
Tn = a + (n-1)d
Where a = the first term of the series
d = common difference
Tn is the nth term of the series
n = the number of terms.
From the information given
a = 14 inches because it is the initial height of the tree
d = 2.5 because it is the difference in height between 2 consecutive months
n = m( number of months)
Tn = f(m)
function models the relationship between the height of the tree f(m) and the number of m months of growth will be
f(m) = 14 + 2.5(m-1)
If you graph out y = x^2 - 1, you'll see that it is a curved parabola. It is not a straight line. So visually this shows the equation is not linear. It's considered nonlinear.
Algebraically, the given equation does not fit the form y = mx+b which is slope intercept form. So this is more confirmation that we do not have a linear function.
Answer:
$6.3
Step-by-step explanation:
Original price = $18
Percentage Discount = 65%
Discount = 18*65% = 18*0.65 = $11.7
Sale Price = Original price - Discount
= $18 - $11.7
= $6.3
Answer:
The critical value that should be used in constructing the interval is T = 5.8408.
The 99% confidence interval for the true mean yield is between 2.943 bushels per acre and 96.268 bushels per acre.
Step-by-step explanation:
We have the standard deviation of the sample, so we use the students t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 4 - 1 = 3
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 3 degrees of freedom(y-axis) and a confidence level of
. So we have T = 5.8408. This is the critical value.
The margin of error is:
M = T*s = 5.8408*7.99 = 46.668 bushels per acre
In which s is the standard deviation of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 49.6 - 46.668 = 2.943 bushels per acre.
The upper end of the interval is the sample mean added to M. So it is 49.6 + 46.668 = 96.268 bushels per acre.
The 99% confidence interval for the true mean yield is between 2.943 bushels per acre and 96.268 bushels per acre.