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klio [65]
3 years ago
13

Quick math question ghghghujhghj

Mathematics
1 answer:
yawa3891 [41]3 years ago
3 0

\text{Hey there!}

\bf{3(4x + 1) - (5x + 7)}

\text{FIRST: distribute the NEGATIVE sign}\text{(On the RIGHT side of the problem/equation)}

\bf{-1 (5x + 7)}

\bf{-1(5x) + -1(7)}

\bf{-1(5x) = -5x}

\bf{-1(7) = -7}

\bf{\underline{= -5x - 7}}

\text{SECOND: distribute the LEFT side of the problem/equation}

\bf{3(4x+1)}

\bf{3(4x) + 3(1)}

\bf{3(4x) = 12x}

\bf{3(1) = 3}

\bf{\underline{12x+3}}

\text{THIRD: make the new equation}

\text{Equation becomes: \bf{12x + 3 - 5x - 7}}

\text{FOURTH: COMBINE your like terms}

\bf{(12x - 5x) + (3 - 7)}

\bf{12x  - 5x  = 7x}

\bf{3 - 7 = -4}

\text{ANSWER}

\boxed{\text{Thus, your answer is: \boxed{\huge\text{\bf7x - 4}}}}}\checkmark

\text{Good luck on your assignment and enjoy your day!}

~\frak{LoveYourselfFirst:)}

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Answer:

We conclude that children in district are brighter, on average, than the general population.

Step-by-step explanation:

We are given the following data set:

105, 109, 115, 112, 124, 115, 103, 110, 125, 99

Formula:

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Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

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S.D = \sqrt{\frac{642.1}{49}} = 8.44

We are given the following in the question:  

Population mean, μ = 106

Sample mean, \bar{x} = 111.7

Sample size, n = 10

Alpha, α = 0.05

Sample standard deviation, s = 8.44

First, we design the null and the alternate hypothesis

H_{0}: \mu = 106\\H_A: \mu > 106

We use one-tailed(right) t test to perform this hypothesis.

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{111.7 - 106}{\frac{8.44}{\sqrt{10}} } = 2.135

Now,

t_{critical} \text{ at 0.05 level of significance, 9 degree of freedom } = 1.833

Since,                  

t_{stat} > t_{critical}

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.

We conclude that children in district are brighter, on average, than the general population.

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<span>(2) y is the total cost, x is the number of months of service, $40 is the installation fee, and $90 is the service charge per month.</span>
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