Answer:
The required amount of mice is 11.82 gram.
Step-by-step explanation:
Given : Assuming that it is known from previous studies that σ = 4.5 grams. If we wish to be 95% confident that the mean weight of the sample will be within 3 grams of the population mean for all mice subjected to this protein diet.
To find : How many mice should be included in our sample?
Solution :
The formula used in the situation is

Where, z value at 95% confidence interval is z=1.96
gram is the mean of the population
gram is the standard deviation of the sample
Substituting the value, to find x sample mean





Therefore, The required amount of mice is 11.82 gram.
Plug it into the midpoint formula.
x1+x2/2; y1+y2/2
R (-5,4) S (3,2)
-5+3/2; 4+2/2
-2/2; 6/2
(-1,3) or "C"
I hope this helps!
~cupcake
Sorry I can’t read that hand writing if I could just write it on brainly
Answer:
Angle CAB
Step-by-step explanation:
Given that a triangle ABC is rotated 100 degrees counterclockwise about a point P. New triangle formed is Triangle A'B'C'.
A rotation is a transformation in which the object is rotated about a fixed point. The direction of rotation can be clockwise or anticlockwise. The fixed point in which the rotation takes place is called the center of rotation.
Here fixed point is P and angle is 100 degrees
The property of rotation is rotation is a transformation of transforming a geometric figure to a similar figure.
In other words, by rotation here ABC will be similar to A'B'C'
Hence angles of ABC will remain equal to angles of A'B'C' in that order.
So m/_ C'A'B'=m /_CAB
Hey there!
4 + 5x + 66 = x + 10
70 + 5x = x + 10
5x + 70 = x + 10
SUBTRACT x to BOTH SIDES
5x + 70 - x = x + 10 - x
5x + 70 - 1x = 1x + 10 - 1x
SIMPLIFY IT!
4x + 70 = 10
SUBTRACT 70 to BOTH SIDES
4x + 70 - 70 = 10 - 70
SIMPLIFY IT!
4x = -60
DIVIDE 4 to BOTH SIDES
4x/4 = -60/4
SIMPLIFY IT!
x = -60/4
x = -15
Therefore, your answer is: x = -15
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)