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2 years ago

3x=3(x-1) Step by step ( 20 pts )

Mathematics

1 answer:

sattari [20]2 years ago

8 0

Answer:

No solution.

Step-by-step explanation:

$\textbf{Given that,}\\\\~~~~~~~~3x = 3(x-1)\\\\\\\implies \dfrac{3x}3 = \dfrac{3(x-1)}{3}~~~~~~~~~~~~~~~~~;\textbf{Dividing both sides by 3}\\\\\\\implies x = x-1\\\\\\\implies x-x = x-1-x~~~~~~~~~~~~~;\textbf{Subtracting}~ x ~ \textbf{from both sides} \\\\\\\implies 0 = -1\\\\\\\textbf{Which is not true, so there are no solutions.}$

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400 students were randomly sampled from a large university, and 289 said they did not get enough sleep. Conduct a hypothesis tes

melomori [17]

Answer:

The sample proportion represents a statistically significant difference from 50%

Step-by-step explanation:

Null hypothesis: The sample proportion is the same as 50%

Alternate hypothesis: The sample proportion is not the same as 50%

z = (p' - p) ÷ sqrt[p(1 - p) ÷ n]

p' is sample proportion = 289/400 = 0.7225

p is population proportion = 50% = 0.5

n is number of students sampled = 400

z = (0.7225 - 0.5) ÷ sqrt[0.5(1 - 0.5) ÷ 400] = 0.2225 ÷ 0.025 = 8.9

The test is a two-tailed test. Using a 0.01 significance level, critical value is 2.576. The region of no rejection of the null hypothesis is -2.576 and 2.576.

Conclusion:

Reject the null hypothesis because the test statistic 8.9 falls outside the region bounded by the critical values -2.576 and 2.576.

There is sufficient evidence to conclude that the sample proportion represents a statistically significant difference from 50%.

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3 years ago

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ra1l [238]

Answer:

(4.7 x 104) x (3.0 x 105)

Step-by-step explanation:

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4 years ago

Evaluate x + 4 when x = 3

Andrej [43]

7 is the correct answer
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What’s 4.3 x .8 because I just don’t get it

oee [108]

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3 years ago

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GCF & LCM PICTURE INCLUDED

svp [43]

Answer: A) 6250, 2500

Step-by-step explanation:

Factor the numbers. What they have in common is the GCF.

The GCF times everything leftover is the LCM.

6250: 5 × 5 × 5 × 5 × 5 × 2

2500: 5 × 5 × 5 × 5 × 2 × 2

What they have in common is the GCF:

6250: 5 × 5 × 5 × 5 × 5 × 2

2500: 5 × 5 × 5 × 5 × 2 × 2

GCF = 5 × 5 × 5 × 5 × 2 = 1250

GCF times everything leftover is the LCM:

6250: 5 × 5 × 5 × 5 × 5 × 2

2500: 5 × 5 × 5 × 5 × 2 × 2

LCM: 1250 × 5 × 2 = 12500

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3 years ago