Answer:
10
Step-by-step explanation:
Double the first equation we get 10p + 6s = 101.00
Subtract the second equation from the one we just got,
=> (10p + 6s) - (2p + 6s) = 101.00 - 31.00
8p = 80
p = 10
23. 3^2 is 9 and 9 x 2 = 18 + 5 = 23
The length and width that will maximize the area are 175 ft and 87.5 ft respectively
The largest area that can be enclosed is 15312.5 ft²
<h3>Area of a rectangle</h3>
where
l = length
w = width
The fencing is 350 ft it is use to enclose a rectangular plot with a river occupying one part.
Therefore,
perimeter = l + 2w
350 = l + 2w
l = 350 - 2w
area = (350 - 2w)w
(350 - 2w)w = 0
where
w = 0 or 175
average = 175/2 = 87.5
Hence, the max area is at w = 87.5 ft
Therefore,
l = 350 - 2(87.5) = 175 ft
length = 175 ft
width = 87.5 ft
Therefore,
area = 175 × 87.5 = 15312.5 ft²
Therefore, the largest area that can be enclosed is 15312.5 ft²
learn more on rectangle here: brainly.com/question/11630499
The probability that she makes 6 of them is 0.242
The probability is the likelihood that something will happen, to put it simply. When we don't know how something will turn out, we can talk about the possibility of one outcome or the likelihood of several. The study of events that fit into a probability distribution is known as statistics.
Given,
A basketball player has a probability = 0. 603
The player shoots 10 free throws.
Let x be a random variable that represents the number of free throws made by a basketball player.
x ≈ Binomial (n,p)
p = 0.603
n= 10
P(x=k) = n
P(6) = ₁₀
=
= 210 ( 0.048 ) ( 0.024)
= 0.242
Therefore, the probability that she makes 6 of them is 0.242
Learn more about probability here: brainly.com/question/28046280
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Answer:
Step-by-step explanation: