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Zinaida [17]
3 years ago
14

In this triangle, the product of tan A and Tan C is ( a. 1 b. 4.24 c. 17.98 or d. Insufficient data )

Mathematics
1 answer:
Sholpan [36]3 years ago
8 0
Answer would be c I believe
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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 cylinder has a height of 10 inches and a radius of 5.5 inches. What is the
umka2103 [35]

Answer: 949.85 in 3

Step-by-step explanation:i took the test lol

5 0
2 years ago
HELP PLEASE! <br><br><br><br><br><br>Please explain Slovin's formula​
ycow [4]

Answer:

I need more information, meaning his formula.

Step-by-step explanation:

3 0
3 years ago
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An expression that is equivalent to (-8a-1)-(-7a+5)
horrorfan [7]

Answer:

Step-by-step explanation:

(-8a - 1)- (-7a + 5) = -8a - 1 - 7a*(-1) + 5*(-1) { (-1) is disturbed to all the terms in (-7a +5)}

                         = -8a - 1 + 7a - 5

                         = -8a + 7a -1 - 5 {Combine like terms}

                         = -a - 6

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3 years ago
Is a number that is multiplied by a variable.
Nimfa-mama [501]
The answer would be yes
7 0
3 years ago
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