Answer:
51,51 and 78
Step-by-step explanation:
3x+9=4x-5
3x=4x-14
-x=-14
x=14
The sample mean is the sum of the sample values divided by the number of them:
(7 +7 +10 +6 +9 +6 +8 +7.5 +8.5 +8)/10 = 77/10 = 7.7
The sample mean is 7.7.
Answer:
Probability that all winner are men = 0.0035 (Approx.)
Step-by-step explanation:
Given:
Number of women = 50
Number of men = 26
Total number winner = 5
Find:
Probability that all winner are men
Computation:
Total competitor = 50 + 26 = 76
Probability that all winner are men = 26/76 x 25/75 x 24/74 x 23/73 x 22/72
Probability that all winner are men = 7,893,600 / 2,216,980,800
Probability that all winner are men = 0.0035 (Approx.)
Answer:
flipped
Step-by-step explanation:
A reflection is a transformation representing a flip of a image. images can be reflected in a plane, line, and point. When reflecting a image/figure in a line or in a point, the image is congruent to the preimage. A reflection maps every point of a figure to an image across a fixed line.
Answer:
a vertical shift of 6 units up
Step-by-step explanation:
We have the transformation:
g(x) = f(x) + k
This is what we call a vertical shift, this transformation moves the graph of f(x) k units, and the motion is upwards if k is positive, and downwards if k is negative.
Here we can see that the graph of f(x) intersects the y-axis at y = -2
While the graph of g(x) intersects the y-axis at y = 4.
Then the distance between these two points is:
4 - (-2) = 6
This means that the graph of g(x) is 6 units above the graph of f(x)
Then we have that k must be equal to 6, then the transformation is:
g(x) = f(x) + 6
This is a vertical shift of 6 units up.
