Explain the 2 different answers you can get when solving an equation and the variable is eliminated.

2 answers:

6 0

When you're solving an equation, there are three possibilities. Two of which are chosen if your statement is true or not.

If you're able to get x alone, there is one solution. However, If all of the variables are eliminated and you're left with a false statement, that will be no solution. Example: 1=5? False.

If all of the variables are eliminated and you're left with a true statement, that solution is all real numbers. Example: 5=5? True.

SashulF [63]3 years ago

4 0

Answer:

Step-by-step explanation:

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True or false: is 1 and 2 adjacent angles (look at picture)

Contact [7]

Answer:

True

Step-by-step explanation:

1 and 2 are next to each other and adjacent means next to each other.

6 0

3 years ago

Read 2 more answers

Suppose that an internal report submitted to the managers at a bank in Boston showed that with 95 percent confidence, the propor

Dmitry [639]

Answer:

The sample size used to compute the 95% confidence interval is 1066.

Step-by-step explanation:

The (1 - α)% confidence interval for population proportion is:

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

The 95% confidence interval for proportion of the bank's customers who also have accounts at one or more other banks is (0.45, 0.51).

To compute the sample size used we first need to compute the sample proportion value.

The value of sample proportion is:

$\hat p=\frac{Upper\ limit+Lower\ limit}{2}=\frac{0.45+0.51}{2}=0.48$

Now compute the value of margin of error as follows:

$MOE=\frac{Upper\ limit-Lower\ limit}{2}=\frac{0.51-0.45}{2}=0.03$

The critical value of z for 95% confidence level is:

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

Compute the value of sample size as follows:

$MOE=z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\\0.03=1.96\times \sqrt{\frac{0.48(1-0.48)}{n}}\\(\frac{0.03}{1.96})^{2}=\frac{0.48(1-0.48)}{n}\\n=1065.404\\n\approx1066$