For the composite function g(f(x)), the function f(x) goes first in terms of evaluation. This is the inner most function. You would read it from right to left in terms of determining the order of evaluation.
Answer:
y=-7x+16
Step-by-step explanation:
y-y=m(x-x1)
y-2=-7(x-2)
y-2=-7x+14
+2 +2
y=-7x+16
Answer:
yes
Step-by-step explanation:
note that 20% =
= 
Hence to find 20% of a number, dividing the number by 5 is correct
20% of £30 =
= £6
Answer:
10%
Step-by-step explanation:
if he has 60 boxes then it would be 60/600
simplify that to 6/60 which further simplifies to 1/10 which is 10%
Answer:
The 99% two-sided confidence interval for the average sugar packet weight is between 0.882 kg and 1.224 kg.
Step-by-step explanation:
We are in posession of the sample's standard deviation, so we use the student's t-distribution to find the confidence interval.
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 = 16 - 1 = 15
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 35 degrees of freedom(y-axis) and a confidence level of
). So we have T = 2.9467
The margin of error is:
M = T*s = 2.9467*0.058 = 0.171
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 1.053 - 0.171 = 0.882kg
The upper end of the interval is the sample mean added to M. So it is 1.053 + 0.171 = 1.224 kg.
The 99% two-sided confidence interval for the average sugar packet weight is between 0.882 kg and 1.224 kg.