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Fynjy0 [20]
3 years ago
5

Write all the three digit numbers containing a 1, 2, and 3. which of these numbers is divisible by 4?

Mathematics
1 answer:
AlekseyPX3 years ago
5 0
All three digit numbers containing 1, 2, and 3 are:
123, 132, 213, 231, 312, 321
They are all divisible by 4 but you can only divide 2 of them by 4 and still have a whole number

please mark brainliest

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AB = 150 degrees

Step-by-step explanation:

Right triangle has a 90 degree angle. One angle is 30 degrees. There is 180 degrees in one triangle. 180-30= 150.

<h3>Hope this is Helps!!!!</h3>
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A fast food restaurant executive wishes to know how many fast food meals adults eat each week. They want to construct a 98% conf
adelina 88 [10]

Answer:

n=(\frac{2.326(1.1)}{0.07})^2 =1336.006 \approx 1337

So the answer for this case would be n=1337 rounded up to the nearest integer

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=1.1 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 =0.07 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 98% of confidence interval now can be founded using the normal distribution. And in excel we can use this formula to find it:"=-NORM.INV(0.01;0;1)", and we got z_{\alpha/2}=2.326, replacing into formula (b) we got:

n=(\frac{2.326(1.1)}{0.07})^2 =1336.006 \approx 1337

So the answer for this case would be n=1337 rounded up to the nearest integer

3 0
3 years ago
How many solutions does the following equation have?
RoseWind [281]

Answer:

There will be No solution for the equation 9x - 4 = - 3x + 5 + 12x. Option B is correct.

Step-by-step explanation:

We need to determine how many solutions the equation 9x - 4 = - 3x + 5 + 12x have.

Solving the equation and finding the solutions

9x - 4 = - 3x + 5 + 12x

Combining like terms, Moving 3x and 12x to left side of equality and changing their signs and moving 4 on right side of equation and changing sign.

9x +3x-12x =  5 + 4

Simplifying

12x-12x =  9\\0=9

Solving the equation we get 0=9 which is false. So, there will be No solution for the equation 9x - 4 = - 3x + 5 + 12x. Option B is correct.

5 0
3 years ago
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