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3 years ago

3(m + 4) = 36 What is m

Mathematics

2 answers:

lys-0071 [83]3 years ago

8 0

Answer:

m = 8

Step-by-step explanation:

Step 1: Write the equation neatly. {3 (m + 4) = 36}

Step 2: Distribute 3 to m and 4. {3 x m = 3m} {3 x 4 = 12}

Step 3: Write the new equation. {3m + 12 = 36}

Step 4: Subtract 12 from both sides. {12 - 12 = 0} {36 - 12 = 24}

Step 5: Write the new equation. {3m = 24}

Step 6: Divide 3 from both sides. {3m / 3 = m} {24 / 3 = 8}

Step 7: Write the new equation and you get your answer. {m = 8}

Virty [35]3 years ago

6 0

M is equal to 8 hope this helps

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Answer:

$122 \leq \mu \leq 138$

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And the correct interpretation for this case is:

c. If the procedure were repeated many times, 95% of the resulting confidence intervals would contain the population mean systolic blood pressure.

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 % where by a population means lies between an upper and lower interval".

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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)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=25-1=24$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,24)".And we see that $t_{\alpha/2}=2.06$

Now we have everything in order to replace into formula (1), for this case we got:

$122 \leq \mu \leq 138$

The 95% confidence interval would be given by (122;138)

And the correct interpretation for this case is:

c. If the procedure were repeated many times, 95% of the resulting confidence intervals would contain the population mean systolic blood pressure.

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3 years ago

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kvv77 [185]

Answer:

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Step-by-step explanation:

So this is a question that kind of uses spoken words rather than numbers and it involves PEMDAS (if you haven't gotten to PEMDAS yet, don't worry about it, it's ok, it's easy). PEMDAS is simply an acronym for Parenthesis, Exponent, Multiply, Divide, Add, Subtract. Its the order in wwhich you do more complicaterd math problems.

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