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ankoles [38]
2 years ago
7

Thank you to anyone who answers .

Mathematics
1 answer:
Basile [38]2 years ago
4 0

Answer:

B: 33 3/4

Step-by-step explanation:

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Solve 240 = 6z + c for 'c'.<br><br> show steps please
Lunna [17]

There are two ways to find or determine for the value of c. In the first method, we can use addition and subtraction to isolate the variable c from the other variables. In the second method, we can use the transposition of variables to isolate the variable c from the other variables.

So solving for the value of c:

 

<span>Using 1st method: Addition and Subtraction</span>

We are given:

240 = 6 z + c

Simply subtract 6 z on both sides:

240 – 6 z = 6 z + c – 6 z

Cancelling 6 z – 6 z on the right side:

240 – 6 z = c

or

c = 240 – 6 z

 

<span>Using the 2nd method: Transposition</span>

240 = 6 z + c

What we are going to do here is to simply transpose the variable 6 z from the right side to the left side of the equation so that we are left with c alone on the right side. Always remember that when we transpose, the symbol becomes opposite. That is:

240 + (- 6 z) = c

240 – 6 z = c

or

<span>c = 240 – 6 z</span>

6 0
3 years ago
Find the 95% confidence interval for estimating the population mean μ
AVprozaik [17]

We first need to determine whether we are dealing with means or proportions in this problem. Since we are given the sample and population mean, we know that we are dealing with means.

Since we have one sample mean, this means we are creating a confidence interval for one sample (1 Samp T Int).

Normally we would check for conditions, but since this is not formulated as a "real-world scenario" type problem, it is hard to check for randomness and independence. Therefore, I will be excluding conditions from this answer.

<h3>Confidence Interval Formula</h3>

The formula for constructing a <u>confidence interval for means</u> is as follows:

  • \displaystyle \overline{x} \pm t^*\big{(}\frac{\sigma}{\sqrt{n} } \big{)}

We are given these variables:

  • \overline{x}=50
  • n=60
  • \sigma=10

Plug these values into the formula for the confidence interval:

  • \displaystyle 50\pm t^* \big{(}\frac{10}{\sqrt{60} } \big{)}

<h3>Finding the Critical Value (t*)</h3>

In order to find t*, we can use this formula:

  • \displaystyle \frac{1-C}{2}=A

Calculating the z-score associated with "A" will give us t*.

So, let's plug in the confidence interval 95% (.95) into the formula:

  • \displaystyle \frac{1-.95}{2}=.025

Use your calculator or a t-table to find the z-score associated with this area under the curve.. you should get:

  • t^*=1.96

<h3>Constructing Confidence Interval</h3>

Now, let's finish the confidence interval we created:

  • \displaystyle 50\pm 1.96 \big{(}\frac{10}{\sqrt{60} } \big{)}

We can calculate the confidence interval, using this formula, to be:

  • \boxed{(47.4697, \ 52.5303)}

<h3>Interpreting the Confidence Interval</h3>

We are 95% confident that the true population mean μ lies between <u>47.4697 and 52.5303</u>.

8 0
2 years ago
Help please!!! i’ve been stuck on this for days!
Snezhnost [94]

Answer:

Step-by-step explanation:

What is the full question?

3 0
3 years ago
Joshua sold his bike for 10% less than he paid for it. If he sold the bike for $585, how much did he pay for it?
oee [108]
He paid $643.5 for it originally

585 x .1 = 58.5

585+58.5= 643.5

hope this helps
6 0
3 years ago
Read 2 more answers
Which system of equations would have no solution? pls helpp
Leya [2.2K]

Answer:

3x+y=8 and 3x+y=9

Step-by-step explanation:

Assume these two equations:

a1x+b1y+c1=0

a2x+b2y+c2=0

If (a1/a2) = (b1/b2) ≠ (c1/c2) than those two would have no solution.

In these case, take a look at the last option:

3x  + y = 8 \\ 3x + y = 9

Re-write 'em as a standard form:

3x  + y - 8 = 0 \\ 3x + y - 9 = 0

So (a1/a2) = (b1/b2) ≠ (c1/c2) is true here:

\frac{3}{3}  =  \frac{1}{1}  ≠ \frac{ - 8}{ - 9}

And they do not have any collision point

6 0
2 years ago
Read 2 more answers
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