Answer:
33.04% probability that exactly five of them are black
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the buttons are chosen is not important. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
Desired outcomes:
Five black buttons, from a set of 10
Four brown buttons, from a set of 6.
Total outcomes:
Nine buttons, from a set of 16.
Probability:
33.04% probability that exactly five of them are black
24.
This is because if we double the base and the height in the area equation it will raise any number by a factor of 4.
Yes of course u divide 10 into 120 which is 1/12
The answer is (2,-2).
<h3>What do we mean by translation?</h3>
- Each point in a figure is moved the same distance in the same direction using a type of transformation known as translation.
- A transformation known as a translation involves shifting each point in a figure by the same amount and in the same direction. For instance, this transformation shifts the parallelogram 3 units upward and 5 units to the right.
- A transformation in geometry is an action that moves, flips, or modifies a shape (referred to as the preimage) to produce a new shape (called the image). An example of a transformation is a translation, which moves every point in a figure uniformly and in one direction.
Find the image of the given point under the given translation:
The rule of translation is (x+9, y - 3), P (-7, 1).
Here we need to add 9 from
x value is -7+9=2
y We need to subtract -3 from
y value is (1-3)=-2
So, P’=( 2,-2)
To learn more about translation, refer to:
brainly.com/question/24086234
#SPJ9
To find the area of the figure,we nees to first find the length of AC and BC by sine formula:
The length of AC:
24/sin90°=AC/sin45°
AC=24/sin90° x sin45°
AC=16.9705..
AC≈16.97ft
<BAC=180°-90°-45°=45°
As there are two same angles,it is an isosceles triangle,thus BC=AC≈16.97ft
The area:
16.97×16.97/2
=143.99...
≈144 sq.ft
Therefore, the answer is 144sq.ft
Hope it helps!