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maks197457 [2]
3 years ago
10

Help me pleaseeeeee!!!!!!

Mathematics
1 answer:
quester [9]3 years ago
6 0
Angle angle side bc theres two angles and a side
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One person wants to get a 95% z-confidence interval with a margin of error of at most 15 based on a population standard deviatio
Bess [88]

Answer:

n=(\frac{1.96(60)}{15})^2 =61.46 \approx 62  

So the answer for this case would be n=62 rounded up to the nearest integer  

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

\sigma=60 represent the population standard deviation  

n represent the sample size (variable of interest)  

Confidence =95% or 0.95

The margin of error is given by this formula:  

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}} (1)  

And on this case we have that ME =15, and we are interested in order to find the value of n, if we solve n from equation (1) we got:  

n=(\frac{z_{\alpha/2} \sigma}{ME})^2 (2)  

The critical value for 95% of confidence interval is provided, z_{\alpha/2}=1.96, replacing into formula (2) we got:  

n=(\frac{1.96(60)}{15})^2 =61.46 \approx 62  

So the answer for this case would be n=62 rounded up to the nearest integer  

6 0
3 years ago
Graph an inequality on a number line: 15>m
barxatty [35]

When the sign is ≤ or ≥ ("less/greater than <u>or equal to</u>"), the dot if filled in.

When the sign is < or >, the dot is not filled in/open circle.


15 > m

[15 is greater than m, or m is less than 15]

Since m is less than 15, the arrow is going to the left (the numbers to the left are less than 15)

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3 years ago
a total of $21,000 is invested in two bonds that pay 4% and 7.5% simple interest. The bond with 7.5 % interest rate earned 6 tim
hjlf
21000=a+b
ax.075xt=6xbx.04xt
t cancels out
a=3.2b
21000= 3.2b+b
21000=4.2b
b=5000
a=16000

account with 7.5% had 16000 invested in it.
account with 4% had 5000 invested in it
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PLEASE HELP ASAP, MARKING BRAINLIEST!!<br><br> Find the value of x.
Elodia [21]

Answer:

A+*in a house*127^0/0

underfined

Step-by-step explanation:

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