Answer:
x=9
Step-by-step explanation:
4(x-2)=2x+10
<=> 4x-8=2x+10
<=> 2x=18
<=>x=9
Given two numbers A and B, the commutative property of addition says:
A+B=B+A
Therefore:
9+8=8+9=17
ANSWER
4.1 units to the nearest tenth.
EXPLANATION
The graph of the two functions are shown in the attachment.
The coordinates of point A is (1.6,4.1).
The coordinates of point B is (7.1,6.1)
The x-axis represents the ground level.
The distance of point A from the ground level is how far the y-coordinate of this point is from the x-axis.
Which is |4.1-0|=4.1
Answer:
66.48% of full-term babies are between 19 and 21 inches long at birth
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean length of 20.5 inches and a standard deviation of 0.90 inches.
This means that 
What percentage of full-term babies are between 19 and 21 inches long at birth?
The proportion is the p-value of Z when X = 21 subtracted by the p-value of Z when X = 19. Then
X = 21



has a p-value of 0.7123
X = 19



has a p-value of 0.0475
0.7123 - 0.0475 = 0.6648
0.6648*100% = 66.48%
66.48% of full-term babies are between 19 and 21 inches long at birth
Answer:

Step-by-step explanation:
Given
Represent point A as thus;

Required
Determine the new position of A, when rotated counterclockwise
The new position will be denoted as A'
When a point is rotated counterclockwise, we start by switching the positions of x and y as follows:

Then, y is negated to give A'
