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Vladimir [108]
3 years ago
7

Dylan is saving for a new computer and has saved $213. He is saving a $3 a day and needs no more than $654 for the computer he w

ants. How many days will it take him to save for the computer he wants?
Mathematics
2 answers:
shutvik [7]3 years ago
4 0

Answer:

147

Step-by-step explanation:

654 = 213 + 3x

-213    -213

441 = 3x

/3       /3

147 = x

zysi [14]3 years ago
3 0

Answer:

147 days

Step-by-step explanation:

$654 - $213 = $441

*Notice how he said he saves $3 a day :)

That's why you divide $441 by 3 :)

$441 / 3 = 147

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hjlf
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First figure out of it is a arithmetic or geometric sequence, in this case it is a geometric sequence because you have to multiply, not add to find the next number.

Divide one number, I'll pick 324 by the number before it, 108, you get three.

Now divide 36 by 3, you get 12.

To check, multiply 12 by 3, you get 36, multiply that by 3, you get 108, and so on and so forth.
3 0
3 years ago
Your state is considering raising the legal age for consumption of alcoholic beverages to 21 years old. How large a sample size
julsineya [31]

Answer:

n=\frac{0.5(1-0.5)}{(\frac{0.01}{2.58})^2}=16641  

And rounded up we have that n=16641

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".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.005. And the critical value would be given by:

z_{\alpha/2}=-2.58, t_{1-\alpha/2}=2.58

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.01 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

For this case we can use as estimator for the proportion \hat p =0.5, since we don't have any other previous info. And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.01}{2.58})^2}=16641  

And rounded up we have that n=16641

8 0
3 years ago
On September 25, 2014 Colson Corp. sold 200,000 widgetrons to Cavanaugh Corp at $5 per unit. Half of the units were delivered on
borishaifa [10]
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2 years ago
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Step-by-step explanation:

thr standard form for a quadratic equation is:

ax²+bx+c

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6 0
1 year ago
At a concession​ stand, three hot dog(s) and two hamburger(s) cost ​$8.00​; two hot dog(s) and three hamburger(s) cost ​$8.25. F
qaws [65]

Answer:

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Step-by-step explanation:

Solve by graphing the system of equations where x = the number of hot dogs and y = the number of hamburgers

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The solution is (1.5, 1.75)

-- Check attachment for graph

5 0
2 years ago
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