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3 years ago

Simplify 3(7t-5) - 2t = 4

Mathematics

1 answer:

Inga [223]3 years ago

4 0

Answer:

Step-by-step explanation:

3(7t - 5) - 2t = 4

3*7t - 3*5 - 2t = 4

21t - 15 - 2t = 4 {combine like terms}

21t - 2t - 15 = 4

19t - 15 = 4 {Add 15 to both sides}

19t = 4 + 15

19t = 19 {Divide both sides by 19}

t = 19/19

t = 1

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In a random sample of 30 people who rode a roller coaster one day, the mean wait time is 46.7 minutes with a standard deviation

Rainbow [258]

Answer: C. $(29,\ 37.8)$

Step-by-step explanation:

The confidence interval for difference of two population mean is given by :-

$\overline{x}_1-\overline{x}_2\pm z_{\alpha/2}\sqrt{\dfrac{s_1^2}{n_1}+\dfrac{s_2^2}{n_2}}$

Given : Level of significance : $1-\alpha:0.99$

Then , significance level : $\alpha: 1-0.99=0.01$

Critical value : $z_{\alpha/2}=z_{0.005}=2.576$

$n_1=30\ ;\ n_2=50\\\\\overline{x}_1=46.7\ ;\ \overline{x}_2=13.3\\\\s_1=9.2\ ;\ s_2=1.9$

$46.7-13.3\pm(2.576)\sqrt{\dfrac{9.2^2}{30}+\dfrac{1.9^2}{50}}\approx33.4\pm4.38=(29.02\ ,37.78)\approx(29,\ 37.8)$

Hence, a 99% confidence interval for the difference between the mean wait times of everyone who rode both rides $(29,\ 37.8)$

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4 years ago

What is the result of isolating y2 in the equation below? 9x2 + 7y2 = 42

ElenaW [278]

First, move 9x^2 to the right:

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Then, divide 7 on both sides:

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3 years ago

Evaluate the expression 14C2

lisabon 2012 [21]

$\bf _nC_r= \cfrac{n!}{r!(n-r)!}\qquad \qquad _{14}C_2=\cfrac{14!}{2!(14-2)!}$

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4 years ago

The double number line shows that 5 kilograms of avocados cost $9 dollar

svlad2 [7]

Answer:

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Step-by-step explanation:

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3 years ago

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AlexFokin [52]

Answer:

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Rearrange, find common denominator.

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3 years ago

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Simplify 3(7t-5) - 2t = 4​

Simplify 3(7t-5) - 2t = 4