9514 1404 393
Answer:
25
Step-by-step explanation:
Inverse variation means ...
y = k/x
For the given values, we can find k to be ...
k = xy = (5)(10) = 50
Then for x=2, we have ...
y = 50/x
y = 50/2
y = 25 . . . when x=2
Answer:
The 95% confidence interval for the concentration in whitefish found in Yellowknife Bay is (0.2698 mg/kg, 0.3702 mg/kg).
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used 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 = 8 - 1 = 7
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 7 degrees of freedom(y-axis) and a confidence level of 
. So we have T = 2.3246
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 0.32 - 0.0502 = 0.2698 mg/kg
The upper end of the interval is the sample mean added to M. So it is 0.32 + 0.0502 = 0.3702 mg/kg
The 95% confidence interval for the concentration in whitefish found in Yellowknife Bay is (0.2698 mg/kg, 0.3702 mg/kg).
Answer:
22 and 158
Step-by-step explanation:
Supplementary angles add to 180. This is means there is a small and large angle. Adding together, they make 180.
- "the larger angle measures four degrees more than seven times the measure of a smaller angle" is represented as 7x+4.
- "x represents the measure of the smaller angle" is represented as x.
x + 7x+4 =180
8x+4=180
8x=176
x= 22
This is the measure of the smaller angle. The larger angle is 7(22)+4 = 158
Answer:
Step-by-step explanation:
<u>Δ MHP is right triangle, therefore</u>
<u>ΔMNP is isosceles triangle as MN = MP, therefore</u>
- m∠NMP = 180° - 2*55° = 70°
Given:
ratio of altitude height = 2/3
Required:
ratio of volume
Solution:
Assuming that the only difference that the cylinders has is the height, we can solve for the ratio of the volume.
The volume of a cylinder is equal to πr²×height.
ratio of volume = πr²×2/πr²×3
We cancel the pi and the r² since we assume that the cylinders have the same radius.By cancelling, we are left with:
ratio of volume = 2/3
