Answer:
sqrt7
Step-by-step explanation:
cosA = b/3 = sqrt2 /3
so b = sqrt2
apply the pythagorean theorem
a = sqrt7
Answer: 5 * 23 = 115 so 40<
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
Remember PEMDAS!
So first parentheses:
1.6^2 = 2.56
8.7 + 9.3 = 18.
Because that is inside another parentheses you multipy them.
2.56 x 18 = 46.08
Now: 46.08 divided by 1.8 = 25.6
Now subtract:
25.6 - 3.7 - 1.9 which equals 20!
Hope that helped!
9514 1404 393
Answer:
- 3/2
- it is the ratio of oil to vinegar in the dressing
- y = 3/2x
Step-by-step explanation:
1. The table can be filled in like this:
- (x, y)
- (0, 0)
- (2, 3)
- (4, 6)
- (6, 9)
The constant of proportionality is the ratio of y to x:
k = 3/2
__
2. The meaning of the constant of proportionality is just what it is defined to mean: the ratio of oil to vinegar in the dressing.
__
3. The equation is y=kx, where k is the value in part 1:
y = (3/2)x
Answer:
The confidence interval is 
, in which n is the size of the sample.
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Z-table as such z has a p-value of 
.
That is z with a pvalue of 
, so Z = 1.96.
Now, find the margin of error M as such
In which 
is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 
The upper end of the interval is the sample mean added to M. So it is 
The confidence interval is , in which n is the size of the sample.
