Answer:
16 cm²
Step-by-step explanation:
The figure is a trapezoid with two parallel sides.
The formula for the area is
A = ½(a + b)h
Data:
a = 5 cm
b = 3 cm
h = 4 cm
Calculation:
A = ½(5 + 3) × 4 = ½ × 8 × 4 = 16 cm²
The area of the trapezoid is 16 cm².
This is the formula for slope between two points:
![\frac{y_{2}-y_{1} }{x_{2}-x_{1} }](https://tex.z-dn.net/?f=%5Cfrac%7By_%7B2%7D-y_%7B1%7D%20%20%7D%7Bx_%7B2%7D-x_%7B1%7D%20%20%7D)
![y_{2} =20\\y_{1} =12\\x_{2} =4\\x_{1}=2](https://tex.z-dn.net/?f=y_%7B2%7D%20%3D20%5C%5Cy_%7B1%7D%20%3D12%5C%5Cx_%7B2%7D%20%3D4%5C%5Cx_%7B1%7D%3D2)
so...
![\frac{20-12}{4-2}](https://tex.z-dn.net/?f=%5Cfrac%7B20-12%7D%7B4-2%7D)
![\frac{8}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B2%7D)
4
The slope is 4
Hope this helped!
Answer:
Therefore the experimental probability that she will roll an even number is
C ) 0.5
Step-by-step explanation:
Let S be the sample space for the given experiment that to Roll six sided number Cube
∴ S ≡ { 1, 2, 3, 4, 5, 6}
∴ n(S) = 6
Let 'A' be the event of experiment that she will roll an even number
∴ A ≡ { 2, 4, 6 }
∴ n(A) = 3
To Find:
P(A) = ?
Solution:
We know that for any experiment probability is given by
![\textrm{probability of the experiment}=\dfrac{\textrm{number of favourable outcomes}}{\textrm{total number of outcomes}}](https://tex.z-dn.net/?f=%5Ctextrm%7Bprobability%20of%20the%20experiment%7D%3D%5Cdfrac%7B%5Ctextrm%7Bnumber%20of%20favourable%20outcomes%7D%7D%7B%5Ctextrm%7Btotal%20number%20of%20outcomes%7D%7D)
Substituting the values we get
![P(A)=\frac{n(A)}{n(S)} =\frac{3}{6} =\frac{1}{2} =0.5](https://tex.z-dn.net/?f=P%28A%29%3D%5Cfrac%7Bn%28A%29%7D%7Bn%28S%29%7D%20%3D%5Cfrac%7B3%7D%7B6%7D%20%3D%5Cfrac%7B1%7D%7B2%7D%20%3D0.5)
Therefore the experimental probability that she will roll an even number is
C ) 0.5
The cost of Zero bags of candy :) hope this helped
counterexample.
One way to show that a statement is NOT a good definition
is to find a counterexample. In description, counterexample is an exception to
a “proposed general rule or law”. Philosophically, counterexample somehow
generalizes a set of ideas or a notion declared in its position. For example,
all colors are white. Therefore it is wrong to say that red, orange, blue or
any other “color” is not a color by which the statement declared itself.
Moreover, in mathematics counterexamples are utilized frequently
to testify theorems' limitations.