Answer:
a) 72 cm^2
b) 9 cm^2
c) 9 cm^2
d) 60.39 cm^2
Step-by-step explanation:
a) the the length is 12 cm and the width is 6 cm. Area = lw
A=(12)(6)
A=72 cm^2
b) base equals 3 cm
Height equals 6 cm
A=1/2(3)(6)
A= 9 cm^2
c) base = 3 cm
height=6 cm
Area=1/2(3)(6)
A=9 cm^2
d) to to find the area of the parallelogram, You need to use Pythagorean theorem for one of the triangles.
3^2 + 6^2 = x^2
9 + 36 = x^2
45=x^2
✓45 = ✓x^2
x = 6.71 cm
12-3 = 9
now that you have all the sides for the parallelogram, multiply 6.71 times 9 to get the area.
A= 60.39 cm^2
<u>Answer:</u>
-2
<u>Step-by-step explanation:</u>
We have been given a function f(x)=\frac{-2x}{x+1} and we are asked to find the horizontal asymptote of our given function.
Recalling the rules for a horizontal asymptote:
1. If the numerator and denominator have equal degree, the horizontal asymptote will be the ratio of the leading coefficients.
2. If the polynomial of denominator has larger degree than the numerator, then the horizontal asymptote will be the x-axis or y=0.
3. If the polynomial of numerator has larger degree than denominator, then the function has no horizontal asymptote.
Here, the numerator and denominator are of the same degree. So the horizontal asymptote will be the ratio of the coefficients.
Horizontal asymptote =
= -2
Answer:
- p=0.7103 (4-game series)
- p=0.6480 (2-game series)
Step-by-step explanation:
Let X be the random variable equal the the first 4 straight wins. An overall win for the stronger team implies a negative binomial function with the parameters n=4, p=0.6:

#We find probabilities for the different values of i:

Hence, probability of the stronger team winning overall is:

#Define Y as the random variable for winning 2/3 games.:

Hence, probability of the stronger team winning in 2 out 3 game series is 0.6480
The stronger team has a higher chance of winning in a 4-game series(0.7103>0.6480)
9514 1404 393
Answer:
Tk 173.25
Step-by-step explanation:
The firm will break even if its cost is equal to its revenue. That is, the price of each item sold must equal the cost of producing it. To cover the fixed cost, a share of it must be added to each of the items sold. Then the break-even price for 80 items is ...
price = variable cost + share of fixed cost
price = Tk 60.75 +9000/80 = Tk 60.75 +112.50 = Tk 173.25