Answer:
b ) the intersection of two events
Step-by-step explanation:
Gary and Steve are both hosting . There are 50 buttons total, 15 buttons are blue and 27 buttons are red. Gary puts all of the buttons into a bag. Steve and Gary both want to wear red buttons.What is the probability ? To solve this problem, you need to understand the Multiplication Rule of Probability.This probability means to find the probability of the intersection of two events, multiply the two probabilities.
Probability of two events occurring that is called intersection of two events. There are two different set of events , called independent and dependent events.
Independent events event is not affected by a previous event.
A dependent event is when one event influences the outcome of another event . To find the intersection of two events, whether they are independent or dependent, multiply the two probabilities together.
Answer:
We need to solve for the 4th side
4th side base = 75.5 -60.5 = 10 feet
4th side height = 16
4th side LENGTH^2 = 10^2 + 16^2
4th side = sq root (356) = 18.8679622641
Trapezoid Area = [(sum of the bases) / 2 ] * height
Trapezoid Area = [(136)/2] * 16
Trapezoid Area = 1,088 square feet, which is MUCH smaller
than 73,084
Step-by-step explanation:
Answer:
The graph is shown below.
Step-by-step explanation:
Given:
The inequality of a line to graph is given as:

In order to graph it, we first make the 'inequality' sign to 'equal to' sign. This gives,

Now, we plot this line on a graph. The given line is of the form:
Where, 'm' is the slope and 'b' is the y-intercept.
So, for the line
, 
The y-intercept is at (0, -3).
In order to draw the line correctly we find another point. Let the 'y' value be 0.
Now, 
So, the point is (3, 0).
Now, we mark these points and draw a line passing through these two points.
Now, consider the line inequality
. The 'y' value is less than
. So, the solution region will be region below the line and excluding all the points on the line. So, we draw a broken line and shade the region below it.
The graph is shown below.
Answer:
Follows are the solution to this question:
Step-by-step explanation:
- It is true because the square of the standard error of its estimate was its total square error divided only by the degree of freedom.
- It is true because Its coefficient with Standardized Regression, beta, will have the same value as r, the approximate similarity.
- It is false because Its slope b, of its equation of regression, will have the same value as r, the projected correlation.
Answer:
P = 0.300 or 30%
Step-by-step explanation:
There are two possibilities for a player to test positive:
1-) He does not take steroids (95%) with a 12% chance of testing positive:
P= 0.95 x 0.12
2-) He does take steroids (5%) with a 98% chance of testing positive:
P= 0.05 x 0.98
So the probability that a player tests positive is:
P = 0.95 x 0.12 + 0.05 x 0.98 =0.163
Therefore, the probability that a soccer player who tests positive takes steroids is:
