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3 years ago

Is (2, 2) a solution of y < 4x – 6?

Mathematics

1 answer:

Roman55 [17]3 years ago

6 0

Answer:

Step-by-step explanation:

To see if (2,2) is a solution, substitute them into the inequality and see if it is true.

2 is our x value, and 2 is also our y value

y < 4x – 6

2< 4(2)– 6

2 < 8 – 6

2 < 2

This statement is false. 2 is not less than 2, so (2,2) is not a solution to this equation.

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A recent study focused on the number of times men and women send a Twitter message in a day. The information is summarized below

jok3333 [9.3K]

Answer:

The value of the test statistic = 2.58

Test statistic Z = - 4.805

|Z| = 4.805 > 2.58

Null hypothesis is rejected The value of the test statistic = 2.58

There is significant difference between in the mean number of times men and women send a Twitter message in a day

Step-by-step explanation:

Step(i):-

Sample size of men n₁ = 25

mean of the first sample x₁⁻ = 20

Standard deviation of the first sample σ₁ = 5

Sample size of women n₂ = 30

mean of the second sample x₂⁻ = 30

Standard deviation of the first sample σ₂ = 10

Level of significance ∝= 0.01

<u>Step(ii)</u>:-

Null Hypothesis : H₀: There is no significant difference between in the mean number of times men and women send a Twitter message in a day

Alternative Hypothesis :H₁:There is significant difference between in the mean number of times men and women send a Twitter message in a day

Test statistic

$Z = \frac{x^{-} _{1} - x^{-} _{2} }{\sqrt{\frac{S.D_{1} ^{2} }{n_{1} }+\frac{ S.D_{2} ^{2}}{n_{2} } } }$

$Z = \frac{20 - 30 }{\sqrt{\frac{(5)^{2} }{25 }+\frac{ (10)^{2} }{ 30} } }$

Z = $\frac{-10}{2.081} = - 4.805$

The value of the test statistic = 2.58 C

|Z| = 4.805 > 2.58

Null hypothesis is rejected The value of the test statistic = 2.58

<u>Conclusion:</u>-

There is significant difference between in the mean number of times men and women send a Twitter message in a day

7 0

3 years ago

You have already saved $55. You can earn $9 per hour at your job. You are saving for a bicycle that costs $199. What inequality

Sveta_85 [38]

y = 9x + 55 because the 9x is the amount you get paid an hour, and to get to the 199 you need to include to rate at which you get paid, and add that to how much you already have saved.

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3 years ago

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Use algebraic rules of equations to predict the solution type to the system of equations. Include all of your work for full cred

Tasya [4]

y=-4-x

y=2x-1

-4-x=2x-1

3x=-3

x=-1

y=-3

The type of equation is consistent because they intersect at ( -1,-3 )

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3 years ago

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In my carpenter shop I make 3 legged stools and 4 legged chairs. I looked at my days output and counted 55 legs and 16 seats. Ho

Stells [14]

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3 years ago

4(p-7)=44I wrote this question can you answer it

pav-90 [236]

Answer:

p=117.25

Step-by-step explanation:

441/4=110.25

110.25+7=117.25

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3 years ago

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