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Artist 52 [7]
3 years ago
9

Math question on big ideas math the 1/3 confuses me I hate fractions

Mathematics
1 answer:
jok3333 [9.3K]3 years ago
6 0

a simple way to do away with denominators, is we can simply multiply both sides by the LCD, in this case the LCD is 3, so let's multiply both sides by 3.


\bf 3\left( \cfrac{1}{3}x+y \right)=3(4)\implies x+3y=12\implies 3y=12-x
\\\\\\
y=\cfrac{12-x}{3}\implies \stackrel{\textit{distributing the denominator}}{y=\cfrac{12}{3}-\cfrac{x}{3}}\implies y=4-\cfrac{1}{3}x

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Kitty [74]

Answer: No , at 0.05 level of significance , we have sufficient evidence to reject the claim that LTCC Intermediate Algebra students get less than seven hours of sleep per night, on average.

Step-by-step explanation:

Let \mu denotes the average hours of sleep per night.

As per given , we have

H_0:\mu=7\\H_a:\mu

, since H_a is left-tailed and population standard deviation is unknown, so the test is a left-tailed t -test.

Also , it is given that ,

Sample size : n= 22

Sample mean : \overline{x}=7.24

Sample  standard deviation : s= 1.93

Test statistic : t=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}

i.e.  t=\dfrac{7.24-7}{\dfrac{1.93}{\sqrt{22}}}\approx0.58

For significance level \alpha=0.05 and degree of freedom 21 (df=n-1),

Critical t-value for left-tailed test= t_{\alpha, df}=t_{0.05,21}=- 1.7207

Decision : Since the test statistic value (0.58) > critical value  1.7207, it means we are failed to reject the null hypothesis .

[Note : When |t_{cal}|>|t_{cri}|, then we accept the null hypothesis.]

Conclusion: We have sufficient evidence to reject the claim that LTCC Intermediate Algebra students get less than seven hours of sleep per night, on average.

6 0
3 years ago
the nationalities listed in a recent survey (for example, Asian, European, or Hispanic) 19 A) nominal B) interval C) ordinal D)
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Answer:

A

Step-by-step explanation:

8 0
3 years ago
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Answer:

The $2,000 decrease in Carlos's taxable income will save him

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Step-by-step explanation:

i) Carlos is in the 12% tax bracket.

ii)The $2,000 decrease in Carlos's taxable income will save him

= \frac{12}{100} \times \$2000 = \$240.

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3 years ago
What is the solution for x in the equation? <br>-x + 3/7 = 2x -25/7<br>​
Harlamova29_29 [7]

Answer:

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Decimal Form:

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Mixed Number Form:

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Step-by-step explanation:

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