Answer:
6%
Step-by-step explanation:
Step 1
The fist step is to define the probabilities.
The events are independent from each other. Each team wins with probability
and looses with probability
Let
be probability that Roses win and
be the probability that Roses loose.
Step 2
The second step is to calculate the probabilities by multiplying the probabilities with the first 3 terms in the product being the probability of a win and the last term being the probability of a loss.
The calculation is shown below,
![P(W_R)\times P(W_R)\times P(W_R)\times P(L_R)=\frac{1}{2} \times \frac{1}{2} \times\frac{1}{2} \times\frac{1}{2} =\frac{1}{16}](https://tex.z-dn.net/?f=P%28W_R%29%5Ctimes%20P%28W_R%29%5Ctimes%20P%28W_R%29%5Ctimes%20P%28L_R%29%3D%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%5Cfrac%7B1%7D%7B2%7D%20%3D%5Cfrac%7B1%7D%7B16%7D)
Step 3
The last step is to convert this probability into a percentage. Converting this probability to a percentage is done as shown below,
![\frac{1}{16} \times 100\%=6.25\%.](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B16%7D%20%5Ctimes%20100%5C%25%3D6.25%5C%25.)
Step 4
The next step is to round down the percentage . The value of 6.25% rounded down is 6%. The correct answer is 6%.
The equation is
8x +7=125
Answer:
158.76 cm²
Step-by-step explanation:
Quadrilateral ABCD is composed of 2 right triangles
Construct the line BD, then
Δ ABD and Δ BCD are the 2 right triangles.
The area (A) of a triangle is calculated using
A =
bh ( b is the base and h the perpendicular height )
Δ ABD with b = 18 and h = 7.5
A =
× 18 × 7.5 = 9 × 7.5 = 67.5 cm²
Δ BCD with b = 15.6 and h = 11.7
A =
× 15.6 × 11.7 = 7.8 × 11.7 = 91.26 cm²
Thus
area of ABCD = 67.5 + 91.26 = 158.76 cm²
Answer:
19/21 or .90
Step-by-step explanation:
Common denominator.
Multiply 4/7 by 3 which equals to 12/21
Multiply 1/3 by 7 which equals to 7/21
Add 12/21 and 7/21
Answer: 19/21
Never
they have the same ratio only
congruent triangles have equal sides