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Orlov [11]
3 years ago
10

In order to solve the equation -3x - 6 = 5, the first step is to:

Mathematics
2 answers:
xz_007 [3.2K]3 years ago
7 0
3x = - 6 + 5
3x = - 1
x = - 1/3

i am a mathematics teacher. if anything to ask please pm me
7nadin3 [17]3 years ago
3 0
Add 6 to both sides so that you can get the variable by itself
You might be interested in
A manufacturer reported a sample mean = 22.0 g and a sample standard deviation = 2.5 g based on a sample of 20 of their products
tester [92]

Answer:

n=(\frac{1.640(2.5)}{2})^2 =4.2 \approx 5

So the answer for this case would be n=5 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=22 represent the sample mean

\mu population mean (variable of interest)

s=2.5 represent the sample standard deviation

n represent the sample size  

ME = 2 represent the margin of error accepted

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

The margin of error is given by this formula:

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

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 (2) we got:

n=(\frac{z_{\alpha/2} s}{ME})^2   (3)

We can use as estimator for the population deviation the sample deviation \hat \sigma = s

The critical value for 90% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.05;0;1)", and we got z_{\alpha/2}=1.640, replacing into formula (3) we got:

n=(\frac{1.640(2.5)}{2})^2 =4.2 \approx 5

So the answer for this case would be n=5 rounded up to the nearest integer

6 0
3 years ago
PLEASE HURRY AND HELP WILL GIVE BRAINLIEST!!
mamaluj [8]

Using the given equation:

10PI/X = 240/360

Cross multiply:

(10PI*360) = (240*X)

3600PI = 240X

Divide both sides by 240:

X = 3600PI / 240

X = 15PI in^2

3 0
3 years ago
Convert <br>431 base 10 divided by 112base 10 Then u should convert the final answer to base 5​
Rainbow [258]

Answer:

32115

Step-by-step explanation:

Step1

Converting 431 to base 10.

4*102=400

3*101=30

1*100=1

Adding all to get Ans=43110

Step2 converting 43110 to 5

The equation calculation formula for 43110 number to 5 is like this below.

5|431

5|86|1

5|17|1

5|3|2

5|3|3

Ans:32115

5 0
3 years ago
Question is on picture attached
Travka [436]
  • nasa picure po yung sagot
  • #HOPE IT HELPS

8 0
2 years ago
Marco has a jug with 37 1/2 ounces of juice. He wants to use some small cups to pass out samples of the juice Each cup holds 2 1
vladimir2022 [97]
37.5 divided by 2.5 is equal to 15.
4 0
3 years ago
Read 2 more answers
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