Please help !! Find the value of x

Mathematics

1 answer:

Naily [24]3 years ago

5 0

Answer:

Step-by-step explanation:

6x-3+75=180

6x=180-72

6x=108

x=108/6=18°

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What is the solution to the equation below? Log6 4x^2-log6x-2

Helen [10]

Simplified ; log(6)

Decimal ; 0.77815125

Hope this was helpful !

3 0

3 years ago

An IQ test is designed so that the mean is 100 and the standard deviation is 1010 for the population of normal adults. Find the

Serjik [45]

Answer:

$n=(\frac{1.960(10)}{2})^2 =96.04 \approx 97$

So the answer for this case would be n=97 rounded up to the nearest integer . And this value is reaonable and possible in the reality.

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".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma$ represent the population standard deviation

n represent the sample size

Solution to the problem

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =2 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

The critical value for 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025;0;1)", and we got $z_{\alpha/2}=1.960$ , replacing into formula (b) we got: