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2 years ago

Factorise... 3x2 - 6x

Mathematics

1 answer:

Thepotemich [5.8K]2 years ago

5 0

How to solve your question- 3 2 − 6

Grouping

The Common factor- 3 2 − 6 3 ( 2 − 2 )
Rewrite in factored form- 3 ( 2 − 2 ) 3 ( − 2 ) ⋅

Solution- 3 ( − 2 ) ⋅

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A researcher collated data on Americans’ leisure time activities. She found the mean number of hours spent watching television e

ikadub [295]

The value of the z statistic for the considered data is given by: Option A: -3.87 approximately.

<h3>How to find the z score (z statistic) for the sample mean?</h3>

If we're given that:

Sample mean = $\overline{x}$
Sample size = n
Population mean = $\mu$
Sample standard deviation = s

Then, we get:

$z = \dfrac{\overline{x} - \mu}{s}$

If the sample standard deviation is not given, then we can estimate it(in some cases) by:

$s = \dfrac{\sigma}{\sqrt{n}}$

where $\sigma$ population standard deviation

For this case, we're specified that:

Sample mean = $\overline{x}$ = 2.3
Sample size = n = 15
Population mean = $\mu$ = 2.7
Population standard deviation = $\sigma$ = 0.4

Thus, the value of the z-statistic is evaluated as:

$z = \dfrac{\overline{x} - \mu}{\sigma/\sqrt{n}} = \dfrac{2.3- 2.7}{0.4/\sqrt{15}} \approx -3.87$

Thus, the value of the z statistic for the considered data is given by: Option A: -3.87 approximately.

Learn more about z statistic here:

brainly.com/question/27003351

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2 years ago

What problem makes 49

torisob [31]

45 + 4 makes 49 if that counts

6 0

3 years ago

Find the range of the data. .

AlekseyPX

Answer: 4

Step-by-step explanation: Range is the difference between the highest and lowest number, so since 5 is the highest and 1 is the lowest you subtract 1 from 5 to get your answer: 4.

7 0

2 years ago

Read 2 more answers

Which of the following is most likely the next step in the series?

Nostrana [21]

Answer:

A is most likely the next step in the series

Step-by-step explanation:

Each step, the number of sides is increasing by 1.

4,5,6 means that the next number of sides would be 7. Option A has 7 sides.

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3 years ago

During a scuba dive, Lainey descended to a point 19 feet below the ocean surface. She continued her descent at a rate of 25 feet

Leno4ka [110]

Answer:

$25t+19\leq 144$

$t\leq5$

The number of minutes she can continue to descend if she does not want to reach a point more than 144 feet below the ocean surface is <u>at most 5 minutes.</u>

Step-by-step explanation:

Given:

Initial depth of the scuba dive = 19 ft

Rate of descent = 25 ft/min

Maximum depth to be reached = 144 ft

Now, after 't' minutes, the depth reached by the scuba dive is equal to the sum of the initial depth and the depth covered in 't' minutes moving at the given rate.

Framing in equation form, we get:

Total depth = Initial Depth + Rate of descent × Time

Total depth = $19+25t$

Now, as per question, the total depth should not be more than 144 feet. So,

$\textrm{Total depth}\leq 144\ ft\\\\19+25t\leq 144\\\\or\ 25t+19\leq 144$

Solving the above inequality for time 't', we get:

$25t+19\leq 144\\\\25t\leq 144-19\\\\25t\leq 125\\\\t\leq \frac{125}{25}\\\\t\leq 5\ min$

Therefore, the number of minutes she can continue to descend if she does not want to reach a point more than 144 feet below the ocean surface is at most 5 minutes.

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3 years ago