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zloy xaker [14]
3 years ago
9

A farmer has a total of 21 cows and chickens altogether The animals have 54 legs how many cows and how many chickens does the fa

rmer have?
Mathematics
1 answer:
Alexeev081 [22]3 years ago
4 0
4p+2c=54
4p+2(21-p)=54
4p+42-2p=54
2p+42=54
2p=12
p=6

4p+2c=54
4(6)+2c=54
24+2c=54
2c=30
c=15

p=6, c=15
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For i≥1 , let Xi∼G1/2 be distributed Geometrically with parameter 1/2 . Define Yn=1n−−√∑i=1n(Xi−2) Approximate P(−1≤Yn≤2) with l
murzikaleks [220]

Answer:

The answer is "0.68".

Step-by-step explanation:

Given value:

X_i \sim \frac{G_1}{2}

E(X_i)=2 \\

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Now we calculate the \bar X \sim N(2, \sqrt{\frac{2}{n}})\\

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\to \sum^n_{i=1}  \frac{X_i - 2}{n}  \times\sqrt{\frac{n}{2}}}  \sim  N(0, 1)\\\\\to  \sum^n_{i=1}  \frac{X_i - 2}{\sqrt{2n}}  \sim  N(0, 1)\\

\to Z_n = \frac{1}{\sqrt{n}} \sum^n_{i=1} (X_i -2) \sim N(0, 2)\\

\to P(-1 \leq X_n \leq 2)  = P(Z_n \leq Z) -P(Z_n \leq -1) \\\\

                               = 0.92 -0.24\\\\= 0.68

6 0
3 years ago
Your friend says that the absolute value equation ∣3x + 8 ∣ − 9 = −5 has no solution because the constant on the right side of t
SashulF [63]
No, ur friend is not correct

| 3x + 8 | - 9 = -5....u have to get the absolute value (and everything in it) on one side of the equal sign, and everything else on the other side. So we have to get that -9 across the equal sign by adding 9 to both sides
| 3x + 8 } = -5 + 9
| 3x + 8 | = 4...so that number is not negative anymore
now u can set up ur 2 equations and solve for x...ur 2 equations would be: 
3x + 8 = 4 and 3x + 8 = -4...so there will be 2 solutions

** if that -9 would not have been there, then ur friend would have been correct
5 0
3 years ago
Read 2 more answers
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Liula [17]
H(10) is the altitude of a hot air balloon overtime after 10 minutes. In order to find h(10)'s value, you just have to substitute 10 as t in the equation. h(10) and h(t) represents the value of y in a linear equation. So pretty much: h(10)= 210 - 15(10). If calculated correctly, h(10)=60.
8 0
3 years ago
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igomit [66]

Answer:

14 mi

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5 0
3 years ago
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My name is Ann [436]

No options are given for the question :

Answer:

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Step-by-step explanation:

Given that :

Length of pole = 15 feet

Height below the ground = t

Height above the ground = 10

Tge linear equation which represents the scenario can be modeled as :

Entire length of pole = 15 feets

Length above ground = 10

Length below ground = t

Length below + length above = total length

t + 10 = 15

8 0
3 years ago
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