For this case we are going to define the original coordinates:
(x, y): original coordinates.
We apply the transformation:
(x, y) -------> (-x, y + k)
We have:
-x: reflection on the y axis.
y + k: translation k units up.
Answer:
The point was reflected over the y-axis and translated up.
Answer:
0.7881 = 78.81% probability that the percent of 18 to 34 year olds who check social media before getting out of bed in the morning is, at most, 32.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean
and standard deviation
, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this question:

Find the probability that the percent of 18 to 34 year olds who check social media before getting out of bed in the morning is, at most, 32.
This is the pvalue of Z when X = 32. So



has a pvalue of 0.7881
0.7881 = 78.81% probability that the percent of 18 to 34 year olds who check social media before getting out of bed in the morning is, at most, 32.
Answer:
The standard form of the equation for this line can be:
l: 2x + 5y = -15.
Step-by-step explanation:
Start by finding the slope of this line.
For a line that goes through the two points
and
,
.
For this line,
.
Find the slope-point form of this line's equation using
, and- The point
(using the point
should also work.)
The slope-point form of the equation of a line
- with slope
and - point
should be
.
For this line,
The equation in slope-point form will be
.
The standard form of the equation of a line in a cartesian plane is
where
,
, and
are integers.
.
Multiply both sides of the slope-point form equation of this line by
:
.
Add
to both sides of the equation:
.
Therefore, the equation of this line in standard form is
.
A. .x -x=0
x+ -x=0
0=0
all real numbers are solutions
b. x-y+(-x)=x-y+(-x)
-y=-y
0=0
x=0/0 0 over 0
Since there are two events happening simultaneously (windy and no sun), we can apply the concept of conditional probability here.
P(A|B) = P(A∩B)/P(B)
where it means that given B is happening, the probability that A is happening as well is the ratio of the chance for A and B to happen simultaneously over the chance of B to happen.
For our case, this can be interpreted as
P(A|B): it is the probability that it is windy (A) GIVEN that there is no sun (B)
P(A∩B) : chance of wind and no sun
P(B) : chance that there is no sun tomorrow
The chance of P(A∩B) is already given as 20% or 0.20. Since there is 10% or 0.10 chance of sun, then chances of having no sun tomorrow is (1-0.10) = 0.90.
Thus, we have P(A|B) = 0.2/0.9 ≈ 0.22 or 22%.
So, answer is B: 22%<span>.</span>