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3 years ago

The inequality x + 2y ≥ 3 is satisfied by point (1, 1). True False

2 answers:

7 0

In the given statement above, in this case, the answer would be TRUE. It is true that the inequality x + 2y ≥ 3 is satisfied by point (1, 1). In order to prove this, we just have to plug in the values. 1 + 2(1) <span> ≥ 3
So the result is 1 + 2 </span> ≥ 3. 3 <span> ≥ 3, which makes it true, because it states that it is "more than or equal to", therefore, our answer is true. Hope this answer helps.</span>

ki77a [65]3 years ago

6 0

Answer:

True

Step-by-step explanation:

We can check by substitute x=1 into the inequality to determine if the y will be equal to 1 or more:

1+2y≥3

solve for y:

2y≥3-1

y≥2/2

y≥1

y is equal to 1 or more. Therefore the inequality is satisfied for point (1,1)

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3 years ago

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A nationwide survey of seniors by the University of Michigan reveals that almost 18.0% disapprove of daily pot smoking. If 8 sen

UNO [17]

Answer:

$P(X\geq 2)=1- P(X$

And using the probability mass function we can find the individual probabilities:

$P(X=0)=(8C0)(0.18)^0 (1-0.18)^{8-0}=0.2044$

$P(X=1)=(8C1)(0.18)^1 (1-0.18)^{0-1}=0.3590$

And replacing we got:

$P(X\geq 2)=1 -[0.2044 +0.3590]= 0.4366$

Then the probability that at least 2 disapprove of daily pot smoking is 0.4366

Step-by-step explanation:

Let X the random variable of interest "number of seniors who disapprove of daily smoking ", on this case we now that:

$X \sim Binom(n=8, p=0.18)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

And we want to find this probability:

$P(X\geq 2)=1- P(X$

And using the probability mass function we can find the individual probabilities:

$P(X=0)=(8C0)(0.18)^0 (1-0.18)^{8-0}=0.2044$

$P(X=1)=(8C1)(0.18)^1 (1-0.18)^{0-1}=0.3590$

And replacing we got:

$P(X\geq 2)=1 -[0.2044 +0.3590]= 0.4366$

Then the probability that at least 2 disapprove of daily pot smoking is 0.4366

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3 years ago

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Nataly [62]

Answer:

Step-by-step explanation:

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3 years ago

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No, the sum of a negative and a positive is a negative only if the negative number is larger than the positive one. for example:
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since negative 5 is larger, and it's negative that's why the answer is negative.
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since 5 is the larger number, and it's positive, the number is positive.
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3 years ago

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Simora [160]

Answer:

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Step-by-step explanation:

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