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RSB [31]
4 years ago
11

Solve this inequality:−9x−6≥−3(x−4)

Mathematics
2 answers:
lozanna [386]4 years ago
8 0
X ≤ <span>− 3; First solve for the (), so </span><span><span>−<span>9x</span></span>−6</span>≥<span><span>−<span>3x</span></span>+12. Then you combine </span>Add 3x to both sides: <span><span><span>−<span>9x</span></span>−6</span>+<span>3x</span></span>≥<span><span><span>−<span>3x</span></span>+12</span>+<span>3x</span></span><span><span><span>−<span>6x</span></span>−6</span>≥<span>12
Same for 6 : </span></span><span><span><span>−<span>6x</span></span>−6</span>+6</span>≥<span>12+6</span><span><span>−<span>6x</span></span>≥18 
</span><span>Divide both sides by -6; Your done!</span>
Ratling [72]4 years ago
4 0
X ≥ 0 is the answer for -9x-6≥ -3(x-4)
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3 years ago
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Ms. Stevens gave a 30 question quiz to her Algebra 1 class. After grading the quizzes, her students received the following score
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4 years ago
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Lera25 [3.4K]

Answer:

=615961

Step by step explanation:

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Grasshoppers are distributed at random in a large field according to a Poisson process with parameter a 5 2 per square yard. How
HACTEHA [7]

In this question, the Poisson distribution is used.

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

Parameter of 5.2 per square yard:

This means that \mu = 5.2r, in which r is the radius.

How large should the radius R of a circular sampling region be taken so that the probability of finding at least one in the region equals 0.99?

We want:

P(X \geq 1) = 1 - P(X = 0) = 0.99

Thus:

P(X = 0) = 1 - 0.99 = 0.01

We have that:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-5.2r}*(5.2r)^{0}}{(0)!} = e^{-5.2r}

Then

e^{-5.2r} = 0.01

\ln{e^{-5.2r}} = \ln{0.01}

-5.2r = \ln{0.01}

r = -\frac{\ln{0.01}}{5.2}

r = 0.89

Thus, the radius should be of at least 0.89.

Another example of a Poisson distribution is found at brainly.com/question/24098004

3 0
3 years ago
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Aleksandr [31]
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