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3 years ago

How do you solve 5+25:5x8-2

Mathematics

1 answer:

kodGreya [7K]3 years ago

7 0

I hope I helped you

Step-by-step explanation:

First you solve: 25:5=?

After: the number you find×8=?

And:?+5=?

The number -2

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The amount of money spent on textbooks per year for students is approximately normal.

Ostrovityanka [42]

Answer:a

$336.04 < \mu < 443.96$

The margin of error will increase

The margin of error will decreases

The 99% confidence interval is $0.4107 < p < 0.4293$

Step-by-step explanation:

From the question we are told that

The sample size $n = 19$

The sample mean is $\= x = \$\ 390$

The standard deviation is $\sigma = \$ \ 120$

Given that the confidence level is 95% then the level of significance is mathematically represented as

$\alpha = 100 - 95$

$\alpha = 5 \%$

$\alpha = 0.05$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the normal distribution table

$Z_{\frac{\alpha }{2} } = 1.96$

The margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }$

=> $E = 1.96 * \frac{120}{\sqrt{19} }$

=> $E = 53.96$

The 95% confidence interval is

$\= x - E < \mu < \= x + E$

=> $390 - 53.96 < \mu < 390 - 53.96$

=> $336.04 < \mu < 443.96$

When the confidence level increases the $Z_{\frac{\alpha }{2} }$ also increases which increases the margin of error hence the confidence level becomes wider

Generally the sample size mathematically varies with margin of error as follows

$n \ \ \alpha \ \ \frac{1}{E^2 }$

So if the sample size increases the margin of error decrease

The sample proportion is mathematically represented as

$\r p = \frac{210}{500}$

$\r p = 0.42$

Given that the confidence level is 0.99 the level of significance is $\alpha = 0.01$

The critical value of $\frac{\alpha }{2}$ from the normal distribution table is

$Z_{\frac{\alpha }{2} } = 2.58$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} }* \sqrt{ \frac{\r p (1- \r p )}{n} }$

=> $E = 0.42 * \sqrt{ \frac{0.42 (1- 0.42 )}{ 500} }$

=> $E = 0.0093$

The 99% confidence interval is

$\r p - E < p < \r p + E$

$0.42 - 0.0093 < p < 0.42 + 0.0093$

$0.4107 < p < 0.4293$

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3 years ago

A perfect square trinomial can be represented by a square model with equivalent length and width. Which polynomial can be repres

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From the given options, x^2 - 6x + 9 = (x - 3)^2 is a perfect square.

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3 years ago

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Answer to this question?

Readme [11.4K]

A midsegment is given by the formula:
$\frac{x1+x2}{2} , \frac{y1+y2}{2}$

Where x1, x2, y1, and y2 correspond to their respective coordinates. We can do the equation:

$\frac{-3+5}{2} , \frac{-1+3}{2}$
This gets us a midpoint coordinate of <span>(1,1)

</span>As for distance, it will be found by doing:
$\sqrt{(x2-x1)^2+(y2-y1)^2}$
We can do the following:

$\sqrt{(5-(-3))^2+(3-(-1))^2}$
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A 17.2 gallon gasoline tank is 1/2 full. How many gallons will it take to fill the tank?

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Answer:

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Step-by-step explanation:

We know that the tank is filled halfway, and it can hold 17.2 gallons, so we can just divide to figure out how much is half the tank (the amount we need to fill it)

17.2 / 2 = 8.6

We can check our work by multiplying

8.6 x 2 = 17.2

So it would take 8.6gal to fill it up. I hope this helps :)

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3 years ago

2x-3y=42 solve for y

PtichkaEL [24]

Answer:

y=14+(2/3x)

Step-by-step explanation:

Your main goal is to get Y by itself on one side.

To start subtract 2x from both sides. This will give you -3y=42-2x.

Then you divide both sides by -3 to get Y by itself.

That will leave you with ...

y=14+(2/3x)

(remember the negatives cancel each other out)

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