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3 years ago

2x = 150 What is the value of x?

Mathematics

2 answers:

d1i1m1o1n [39]3 years ago

6 0

Answer:

x = 75

Step-by-step explanation:

2x = 150

shift the 2 to the other side to divide (since 2 is multiplied to x, when shifted must be a division)

x = $\frac{150}{2}$

x = 75

Marina86 [1]3 years ago

3 0

Answer:

2x = 150

divide both sides by 2

x = 75

Step-by-step explanation:

hope this helps :)

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The Information Technology Department at a large university wishes to estimate the proportion of students living in the dormitor

nadya68 [22]

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.05}{1.96})^2}=384.16$

And rounded up we have that n=385

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by $\alpha=1-0.99=0.01$ and $\alpha/2 =0.005$ . And the critical value would be given by:

$z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.05$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

We can use as an estimator for p $\hat p =0.5$ . And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.05}{1.96})^2}=384.16$

And rounded up we have that n=385

3 0

3 years ago

function expressed by formula y=-0.5x is there a value of x for which y=-150 if there is such value then solve it

vekshin1

Answer:

3000

Step-by-step explanation:

y=-.05x

y=-150

x*.05=150

150/.05=3000

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3 years ago

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Evaluate.<br>4-6(3-5)1-3<br>

CaHeK987 [17]

Answer:

Step-by-step explanation:

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3 years ago

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HELP NEEDED!!

LenKa [72]

Answer:

Step-by-step explanation:

Given

2| x - 3 | + 5 = 17 ( subtract 5 from both sides )

2| x - 3 | = 12 ( divide both sides by 2 )

| x - 3 | = 6

The absolute value function always returns a positive value but the expression inside can be positive or negative, that is

x - 3 = 6 OR -( x - 3) = 6

x - 3 = 6 ( add 3 to both sides )

x = 9

-( x - 3) = 6 ← distribute left side

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- x = 3 ( multiply both sides by - 1 )

x = - 3

As a check

Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.

x = 9 → 2|9 - 3| + 5 = 2|6| + 5 = (2 × 6) + 5 = 12 + 5 = 17 ← True

x = - 3 → 2|- 3 - 3| + 5 = 2| - 6 | + 5 = (2 × 6) + 5 = 12 + 5 = 17 ← True

Hence x = 9 or x = - 3 are the solutions → a

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The five members of a band are getting new outfits. Shirts cost $12 each, pants cost $29 each, and boots cost $49 a pair. What i

WINSTONCH [101]

You add all the shirts pants etc together...which is 12+29+49 then you times it by 5 because there are 5 members in the group, this will leave you with the total cost of the bands outfits! you total should be $450 in the end

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4 years ago

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