Answer:
3/4
Step-by-step explanation:
We can find the slope from the two points given
m = (y2-y1)/(x2-x1)
= (1- -2)/(2 - -2)
= (1+2)/(2+2)
= 3/4
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 ![1 - \frac{1 - 0.99}{2} = 0.905([tex]t_{995}](https://tex.z-dn.net/?f=1%20-%20%5Cfrac%7B1%20-%200.99%7D%7B2%7D%20%3D%200.905%28%5Btex%5Dt_%7B995%7D)
). 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.
25 - 7 = 18 |
18 - 3 = 15
The school received 15 kits in the box.
The reason why is because there are 3 kits that they haven't received yet. Then there were 7 that they already had, so that means there are 10 kits that wont be included in the box.
To find the volume of something (freezer in this case) use the formula
Length x width x height
72.5 x 24.5 x 36 = <span>63945
63945 is your answer (if it is inch</span>²)
if not, you will have to use proportions to change it to the correct one
hope this helps
Answer:
20,365.7 seconds
Step-by-step explanation:
First, we need to know how to convert yards to miles, as the question is in miles. We know that 1 mile is equivalent to 1760 yards. So we have:
1 mi = 1760 yards
If we multiply both sides by 81:
81 mi = 142,560 yards
And we know that the sprinter needs 8 second to run 56 yards:
8 s = 56 yards
If we divide both sides by 56 we get the time he needs for 1 yard:
8/56 s = 56/56 yards
1/7 s = 1 yard
So, takes him 1/7 seconds to run one yard. At this rate he runs 142,560 yards in:
(1/7) * 142,560 = 20,365.7
So, he needs 20,365.7 seconds to run 81 miles (142,560 yards)
