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Masteriza [31]
3 years ago
8

franklin deposited $75 in a no-interest bank account when he opened it. After that, he deposits $50 per month in the account. As

sume he makes no other withdrawls or deposits. The equation below can be used to find m, the number of months it take him to save a total of $175 . What number should he use as the coefficient of m ??
Mathematics
1 answer:
Furkat [3]3 years ago
8 0
To solve this question the equation is
175=75+50m
Where m is the number of months
Solve the equation for m
175-75=50m
100=50m
M=100÷50
M=2 months
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We are interested in conducting a study to determine the percentage of voters of a state would vote for the incumbent governor.
Vladimir [108]

Answer:

n=\frac{0.5(1-0.5)}{(\frac{0.05}{1.96})^2}=384.16  

And rounded up we have that n=385

Step-by-step explanation:

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 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

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 0.05 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)  

The estimated proportion for this case is \hat p=0.5. And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.05}{1.96})^2}=384.16  

And rounded up we have that n=385

4 0
3 years ago
Using a rounded version of a conversion ratio allows for a quick estimate of a unit conversion
dolphi86 [110]

The conversion ratio that can be illustrated will be converting 2030m to kilometers.

<h3>How to illustrate the conversion?</h3>

The unit conversion that can be illustrated based on the information can be convert 2030m to kilometers.

It should be noted that 1000 meters makes 1 kilometer. Therefore, rounding up 2030m mentally will be 2000m and the conversion to kilometers will be:

= 2000/1000

= 2 km

Learn more about ratio on:

brainly.com/question/2328454

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6 0
2 years ago
There is a spinner with 15 equal areas, numbered 1 through 15. If the spinner is spun
Brrunno [24]

Answer:

1/3 and 1.5

Step-by-step explanation:

1,2,3,4,5,6,7,8,9,10,11,12,13,14,15

There are 5 Multiples of 3 on the Spinner and 3 multiples of four.

5/15 is the probability for a multiple of 3 which can be simplified to 1/3

3/15 is the probability for a multiple of 4 which can be simplified to 1/5

Hope this Helps!

5 0
4 years ago
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Nataly_w [17]

Answer:

139968

Step-by-step explanation:

Multiply the all of the numbers together and you have your answer (:

7 0
3 years ago
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diamong [38]

Answer:

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Step-by-step explanation:

12

213

213

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7 0
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