Answer:
A. X = 30º
Step-by-step explanation:
The angle labeled x & the right angle are vertical angles to the one labeled 120º.
Therefore:
X + 90 = 120
Solve for x:
X + (90-90) = 120 - 90
X = 30
Hope this helps! Have a great day!
Assume that the amount needed from the 5% solution is x and that the amount needed from the 65% solution is y.
We are given that, the final solution should be 42 ml, this means that:
x + y = 42 ...........> equation I
This can also be written as:
x = 42-y .......> equation II
We are also given that the final concentration should be 45%, this means that:
5% x + 65% y = 45% (x+y)
0.05x + 0.65y = 0.45(x+y)
We have x+y = 42 from equation I, therefore:
0.05x + 0.65y = 0.45(42)
0.05x + 0.65y = 18.9 .........> equation III
Substitute with equation II in equation III as follows:
0.05x + 0.65y = 18.9
0.05(42-y) + 0.65y = 18.9
2.1 - 0.05y + 0.65y = 18.9
0.6y = 18.9 - 2.1
0.6y = 16.8
y = 28 ml
Substitute with y in equation II to get x as follows:
x = 42-y
x = 42 - 28
x = 14 ml
Based on the above calculations:
amount of 5% solution = x = 14 ml
amount of 65% solution = y = 28 ml
The correct choice is:
The teacher will need 14 mL of the 5% solution and 28 mL of the 65% solution.
I believe the answer to this is C. English.
Answer:
99+100+101
Step-by-step explanation:
Answer:
Step-by-step explanation:
Data given
n=20 represent the sampel size
represent the sample mean for the independent variable (IQ score of the husband)
represent the sample mean for the dependent variable.
r =0.925 represent the correlation coefficient
Solution to the problem
The general expression for a linear model is given by:
Where 
is the intercept and 
the slope
For this case we have a linear model given by the following expression:
Where -3.34 is the intercept and 1.07 the slope. In order to find the best predicted value when X = 91 we just need to replace into the equation the value of 91 and we got this:
On this case is the best predicted value because 
we have an unbiased estimator.
