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alexandr402 [8]
3 years ago
10

I need help with algebra2

Mathematics
1 answer:
Tomtit [17]3 years ago
4 0

Answer:

i can help all you have to do is post the question.

Step-by-step explanation:

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Here are summary statistics for randomly selected weights of newborn​ girls: nequals=174174​, x overbarxequals=30.930.9 ​hg, seq
MaRussiya [10]

Answer:

The 95% confidence interval would be given by (29.780;32.020)  

Step-by-step explanation:

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=30.9 represent the sample mean for the sample  

\mu population mean (variable of interest)

s=7.5 represent the sample standard deviation

n=174 represent the sample size  

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

df=n-1=174-1=173

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a tabel to find the critical value. The excel command would be: "=-T.INV(0.025,173)".And we see that t_{\alpha/2}=1.97, this value is similar to the obtained with the normal standard distribution since the sample size is large to approximate the t distribution with the normal distribution.  

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

30.9-1.97\frac{7.5}{\sqrt{174}}=29.780    

30.9+1.97\frac{7.5}{\sqrt{174}}=32.020

So on this case the 95% confidence interval would be given by (29.780;32.020)    

The value 29.6 is not contained on the interval calculated.

5 0
3 years ago
A cyclist travels 4 miles in 15 minutes and then a further 6 miles in 25 minutes without stopping.
Tcecarenko [31]

Total distance traveled = 4 + 6 = 10 miles

Total time = 15 + 25 = 40 minutes

Speed = 10 miles ÷ 40 minutes = 0.25 mph

7 0
3 years ago
Read 2 more answers
A criminal has escaped in a train wreck. The police believe he could have traveled no more than 7 mi in any direction from the w
adelina 88 [10]

Answer:

A = 153.94 sq mi

Step-by-step explanation:

In this scenario, we would be starting from the center point and searching the area of a square since the distance in every direction would the same 7 mi. This 7-mile distance would be our radius in this scenario. We now need to use the formula for the Area of a circle to calculate the search area. This formula is the following

A = \pi r^{2}

A = \pi 7^{2}

A = \pi 49

A = 153.94 sq mi

A total of 153.94 square miles must be searched.

5 0
2 years ago
How do I solve inequalities with fractions on both sides?
KIM [24]
Please comment if you have any questions... :)

6 0
3 years ago
I need help and I dont get this at all
mel-nik [20]

Answer:

The sides form a <u>right triangle</u>

Step-by-step explanation:

\sqrt(130)km = 11.4 km

4 0
2 years ago
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