Answer:
.065
Step-by-step explanation:
The total number of marbles is
4 blue marbles+ 6 red marbles+ 3 yellow marbles+5 black marbles=18
P(1st black) = Black/total = 5/18
You keep the marble
The total number of marbles is
4 blue marbles+ 6 red marbles+ 3 yellow marbles+4 black marbles=17
P(2st black) = Black/total = 4/17
Multiply the probabilities together
P(black,black)= 5/18 * 4/17 =10/153=.065359477 =.065
*If you need me to do #5, DM me!
3. The area of a triangle can be given by (just plug and chug as always):

The area of the triangle is
6ft².
4. I will divide into a triangle and a rectangle (because the actual equation for the area of a pentagon requires it to be a perfect pentagon). Let's do the triangle first (height is 3 because you subtract 12 from 15):


Now we just add them:

So, the area of that pentagon is
108m².
5. You are actually wrong on this one because the area of a triangle is:

So, just halve your answer and it will be correct.
6. We can just split it into 4 triangles of equal area and then multiply the area of 1 triangle by 4 to get the total area. Let's do just that:

Multiply by 4 to get total area:

So, the area of the given rhombus is
25cm².
Answer:
Step-by-step explanation:
Given that X the time to complete a standardized exam in the BYU-Idaho Testing Center is approximately normal with a mean of 70 minutes and a standard deviation of 10 minutes.
We have 68 rule as 2/3 of total would lie within 1 std deviation, and 95 rule as nearly 95% lie within 2 std deviations from the mean.
We have std deviation = 10
Hence 2 std deviations from the mean
= Mean ±2 std deviations
=
±20
= 
Below 50, 0.25 or 2.5% would complete the exam.
In geometry, the three undefined terms are: the point, the plane and the straight line.
Since all the given graphs represent lines,we will need to choose the straight line among them.
Straight line is a line that has no start and no end.
From the choices:
Figures a and c are rays
figure b is a line segment
figure d is a straight line
Therefore, the correct choice is: D