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4 years ago

How do I find and solve for x??

1 answer:

7 0

You have to solve the equation that is giving to you. Number 1 you most use PEMDAS. If there is no Parentheses then you move on. If there is then you must always do that first. There usely not any Exponents but when there is you must do that like say you have 2^3. Then you do 2*2*2 which would equal out to 6. tat's how you solve that don't do 2*3 cause that is not the answer. The next one is Multiplication easy find what you need to mutlipy and do that to solve you're problem. Next on is Division you dived that's it that's all. Oh yea and if Division comes before multiplication then you do the division. Same for Adding and Subtraction which are the last to if subtraction comes first then you do that and if addition comes first then that's what you need to do. Ever thing that I just told has a major key in solving for X which is equations. To help remember this use this Please Excuse My Dear Aunt Sally works very well. Hope I helped you understand more :) <3

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The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airp

ale4655 [162]

Answer:

$6.26-2.01\frac{2.47}{\sqrt{50}}=5.56$

$6.26+2.01\frac{2.47}{\sqrt{50}}=6.96$

So on this case the 95% confidence interval would be given by (5.56;6.96)

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)

s represent the sample standard deviation

n represent the sample size

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 mean and the sample deviation we can use the following formulas:

$\bar X= \sum_{i=1}^n \frac{x_i}{n}$ (2)

$s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}}$ (3)

The mean calculated for this case is $\bar X=6.26$

The sample deviation calculated $s=2.47$

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

$df=n-1=50-1=49$

Assuming a Confidence of 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(0.025,49)".And we see that $t_{\alpha/2}=2.01$

Now we have everything in order to replace into formula (1):

$6.26-2.01\frac{2.47}{\sqrt{50}}=5.56$

$6.26+2.01\frac{2.47}{\sqrt{50}}=6.96$

So on this case the 95% confidence interval would be given by (5.56;6.96)

6 0

3 years ago

Three workers sort 66 boxes in a day. One of the workers is three times more productive than the second worker and twice as prod

Lelechka [254]

1 worker $=x$

2 worker $= \frac{worker1}{2}= \frac{x}{3}$

3 worker $= \frac{worker1}{3}= \frac{x}{3}$

so:

$66=x+ \frac{x}{3}+ \frac{x}{2}$

$66=x+\frac{2x}{6}+ \frac{3x}{6}$

$66*6=6x+2x+3x$

$396=11x$

$x=36$

so:

worker $1$ sorted $36$ boxes
worker $2$ sorted $18$ boxes
worker $3$ sorted $12$ boxes

7 0

4 years ago

The football team has 30 more members than the basketball teams. If each group had 10 more members, the ratio of their membershi

PIT_PIT [208]

<span>the football team has 30 more players than the basketball team, so the number of players on the football team is x= 30 + y.

Then you have to add on the extra ten players to each team so that the ratio fits. Now the football team is </span>

<span>10 + 30 + y (or 40 + y) and the basketball team is 10 + y.

Next you need to divide the ratio by its respective parts since a third of the football team is equal to half of the basketball team. So you end up with this equation:

(40 + y)/3 = (10 + y)/2

multiply the three over to the other side to cancel it out. Same with the two. So, now the equation is:

80 + 2y = 30 + 3y

Subtract the 30 from the 80 and the 2y from the 3y and you have your answer: y = 50.

Go back up to the top where you found out that x = 30 + y and put the 50 in place of the y, giving you x = 80</span>

3 0

3 years ago

A roofer calculates his bid price using the formula P = 1.85s + 4.2f, where s is the area of the roof in square feet and f is th

Fynjy0 [20]

Basically you have to round the numbers to find and get your answer

6 0

4 years ago

I need help with this question please.

lesantik [10]

Answer:b

Step-by-step explanation:

6 0

3 years ago