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2 years ago

True or false if two half planes never intersect, then their system of inqeualities has no solution

Mathematics

2 answers:

Fittoniya [83]2 years ago

8 0

Answer:

its false

Step-by-step explanation:

faust18 [17]2 years ago

4 0

Answer:

True

Step-by-step explanation:

If two of the half planes never intersect, there is no way for the lines to reach each other hence giving no soultion

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In Ms. Henrick's class, there are 10 boys and 12 girls. What is the ratio of boys to girls? Express your answer as a fraction in

OleMash [197]

Answer:

5:6

Step-by-step explanation:

the ratio before would be 10/12 so you would have to divide both sides by 2 so you would get 5/6.Hope this helped

4 0

2 years ago

Solve the question: 3(.5y-6)=12

makvit [3.9K]

Answer:

y = 20.

Step-by-step explanation:

Distribute:

$3(0.5y)-3(6)=12$

$1.5y-18=12$

Add 18 to both sides:

$1.5y-18+18=12+18$

$1.5y=30$

Solve for y:

$\frac{1.5y}{1.5}=\frac{30}{1.5}$

$y=20$

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2 years ago

In a recent survey of 25 voters, 17 favor a new city regulation and 8 oppose it. What is the probability that in a random sample

Rasek [7]

Answer:

$P(X=2)=(6C2)(0.68)^2 (1-0.68)^{6-2}=0.0727$

Step-by-step explanation:

1) Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

2) Solution to the problem

The probability in favor of the regulation based on the recent survey is:

$p = \frac{17}{25}=0.68$

Let X the random variable of interest "Number of favor respondents about the regulation", on this case we now that:

$X \sim Binom(n=6, p=0.68)$

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:

$P(X=2)=(6C2)(0.68)^2 (1-0.68)^{6-2}=0.0727$

If we use X= "Number of respondednts opposed to the regulation we got the same answer", but on this case p = 1-0.68=0.32, and we want this probability:

$P(X=4)=(6C4)(0.32)^4 (1-0.32)^{6-4}=0.0727$

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2 years ago

Which expression is equivalent to x^6-9

svlad2 [7]

Answer: (x^3)^2 - 3^2

Step-by-step explanation:

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2 years ago

Which type of line of symmetry does the figure have? <br>

9966 [12]

Answer:vertical

Step-by-step explanation:

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2 years ago