Answer:
The diagonal is 39.54 in
Step-by-step explanation:
First we use the Pythagorean theorem to calculate the length of the diagonal of the base.
If the base measures 13 inches by 35 inches then the diagonal is:
Now we use the Pythagorean theorem again to find the diagonal of the cube.
If the height of the box is 13 inches and the diagonal of the base is 37.34 inches then the diagonal of the cube will be
The baton will fit in the box if it is placed in the direction of the diagonal of the cube, since:
39.54\ in > 38 inches
Answer:
When Mary raises the probability that she has a better hand is 0.273
Step-by-step explanation:
In the poker game it is given that the probability that Mary has a better hand than John is 0.04.
Let the event that Mary has a better hand than John be A.
Let the event that that Mary raises the stakes be B.
It is also given that if Mary has a better hand than John then she would raise with a probability of 0.9
Therefore p(B | A) = 0.9
If Mary has a poorer hand she will raise with a probability of 0.1
Therefore p(B | A') = 0.1
Given that Mary raises the probability that she has a better hand is given by
p(A | B)
= 
= 0.273
So when Mary raises the probability that she has a better hand is 0.273
For this case we have that by definition, the equation of a line in the slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cut-off point with the y axis.
According to the statement data we have:
Thus, the equation is of the form:
We substitute the given point and find the cut-off point:
Finally, the equation is:
We manipulate algebraically to obtain the standard form:
We multiply by 3 on both sides of the equation:
We multiply by -1 on both sides:
Answer:
