Answer:
Mean = 78 ;
Standard deviation = 14
Step-by-step explanation:
Given that:
Mean score = 68
Standard deviation = 14
When a constant value is added to the individual value of a dataset, the new mean value will become the sum of the initial mean value and the constant term added to the values.
Constant Added score = 10
The mean of scaled test score will be:
Mean score + constant added score
68 + 10 = 78
The standard deviation remains unchanged ; Hence, standard deviation = 14
Answer:
76° is the other one
Step-by-step explanation:
nope, no precise calculation here. the option are thankfully enough apart that solving it graphically is just fine. look at the screenshot. the upper intersection is the one with the 7° angle
the lower one is somewhat less than 90° :P
L = 4w
2L + 2W ≤ 130 cm
I would use the substitution method for this one.
Answer = 2(4w) + 2w ≤ 130 cm
Answer:
370 millimeters of compound B is needed for 666 millimeters of solution.
Step-by-step explanation:
Given that:
4 millimeters of compound A are used for every 5 millimeters of compound B.
The scientist wants to make 666 millimeters of solution.
Let,
x be the multiplier number of the compounds in the solution.
Then,
4x + 5x = 666
9x = 666
Dividing both sides by 9
![\frac{9x}{9}=\frac{666}{9}\\x=74](https://tex.z-dn.net/?f=%5Cfrac%7B9x%7D%7B9%7D%3D%5Cfrac%7B666%7D%7B9%7D%5C%5Cx%3D74)
Millimeters of compound B = 5x = 5(74) = 370 millimeters
Hence,
370 millimeters of compound B is needed for 666 millimeters of solution.
Observe the figure below.
Statement Reason
1. AC and BD bisect each other Given
2. AE = EC and BE = ED Definition of bisection
3.
Vertical angle theorem
Vertical angle theorem states " When two lines intersect each other, the vertically opposite angles are always equal".
4.
SAS criterion for congruence
5.
Corresponding angles of congruent triangles are congruent
6.
Converse of alternate interior angle theorem
7.
Vertical angle theorem
8.
SAS criterion for congruence
9.
Converse of alternate interior angle theorem
As,
, so
as corresponding parts of corresponding triangles are equal. As these angles are alternate interior angles, so the lines BC and AD are parallel by "Converse of alternate interior angle theorem".