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4 years ago

PLEASE HELP! HURRY! since its 2 questions, ILL GIVE MORE POINTS!

Mathematics

1 answer:

VARVARA [1.3K]4 years ago

6 0

A. m = 0 || This is incorrect, because m being equal to 0 is a solution in and of itself.

B. m = m || This is incorrect, because m being equal to itself means that there are an infinite number of solutions.

C. 2m + 1 = m - 2 | m = -3 || This is incorrect, because m can be solved for and has a solution.

D. m + 4 = m - 4 | 4 = -4 || This is correct because 4 is not equal to -4, and thus there is no solution.

Hope this helps!! :)

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Which of the following points lie in the solution set to the following system of inequalities?

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A. NOT

(-5, 2) → x = -5, y = 2

y ≤ x - 5 → 2 ≤ -5 - 5 → 2 ≤ -10 FALSE

B. YES

(5, -2) → x = 5, y = -2

y ≤ x - 5 → -2 ≤ 5 - 5 → -2 ≤ 0 TRUE

y ≥ -x - 4 → -2 ≥ -5 - 4 → -2 ≥ -9 TRUE

C. NOT

(-5, -2) → x = -5, y = -2

y ≤ x - 5 → -2 ≤ -5 - 5 → -2 ≤ -10 FALSE

D. NOT

(5, 2) → x = 5, y = 2

y ≤ x - 5 → 2 ≤ 5 - 5 → 2 ≤ 0 FALSE

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3 years ago

Which of these is an example of a continuous random variable?

brilliants [131]

The answer to the question is B

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3 years ago

Read 2 more answers

In the united states, voters who are neither democrat nor republican are called independent. it is believed that 12% of voters a

Nitella [24]

Answer:

a) 0.0245 = 2.45%

b) 0.9483 = 94.83%

c) 0.6931 = 69.31%

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are independent, or they are not. The probability of a person being independent is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

It is believed that 12% of voters are independent.

This means that $p = 0.12$

Survey of 29 people

This means that $n = 29$

a. what is the probability that none of the people are independent? probability =

This is P(X = 0). So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{29,0}.(0.12)^{0}.(0.88)^{29} = 0.0245$

0.0245 = 2.45% probability that none of the people are independent

b. what is the probability that fewer than 7 are independent? probability =

$P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{29,0}.(0.12)^{0}.(0.88)^{29} = 0.0245$

$P(X = 1) = C_{29,1}.(0.12)^{1}.(0.88)^{28} = 0.0971$

$P(X = 2) = C_{29,2}.(0.12)^{2}.(0.88)^{27} = 0.1853$

$P(X = 3) = C_{29,3}.(0.12)^{3}.(0.88)^{26} = 0.2274$

$P(X = 4) = C_{29,4}.(0.12)^{4}.(0.88)^{25} = 0.2016$

$P(X = 5) = C_{29,5}.(0.12)^{5}.(0.88)^{24} = 0.1374$

$P(X = 6) = C_{29,6}.(0.12)^{6}.(0.88)^{23} = 0.0750$

$P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) = 0.0245 + 0.0971 + 0.1853 + 0.2274 + 0.2016 + 0.1374 + 0.0750 = 0.9483$

0.9483 = 94.83% probability that fewer than 7 are independent

c. what is the probability that more than 2 people are independent? probability =

Either two or less are, or at least 3 are independent. The sum of the probabilities of these events is decimal 1. So

$P(X \leq 2) + P(X > 2) = 1$

We want P(X > 2). So

$P(X > 2) = 1 - P(X \leq 2)$

In which

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{29,0}.(0.12)^{0}.(0.88)^{29} = 0.0245$

$P(X = 1) = C_{29,1}.(0.12)^{1}.(0.88)^{28} = 0.0971$

$P(X = 2) = C_{29,2}.(0.12)^{2}.(0.88)^{27} = 0.1853$

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0245 + 0.0971 + 0.1853 = 0.3069$

$P(X > 2) = 1 - P(X \leq 2) = 1 - 0.3069 = 0.6931$

0.6931 = 69.31% probability that more than 2 people are independent

3 0

3 years ago

Antonio did some chores for his mom. She gave him $7.00. Then he bought a

ASHA 777 [7]

Answer:

$5.89

Step-by-step explanation:

if you do 12.89 minus the seven dollars you get 5.89

6 0

4 years ago

Plz help!!! My grade is an F i dont understand any of the packet and finals start this friday!

natali 33 [55]

Remark
When you have two parallel lines cutting the sides of a triangle and one of them is the base of the triangle, then the 2 sides cut form a proportion. The safest way to handle this is to set up the proportion so that you are talking about sides of similar triangles..

Givens
BD || AE
CD = 16
CE = 16 + 4
CB = 12
CA = 12 + x

Set Up the Proportion
CD/CE = CB / CA

Substitute and Solve
16/20 = 12/(12 + x) Cross multiply
16*(12 + x) = 20 * 12 Combine the right
16*(12 + x) = 240 Remove the brackets.
192 + 16x = 240 Subtract 192 from both sides.
16x = 240 - 192
16x = 48 Divide by 16
x = 48 / 16
x = 3

8 0

4 years ago