Find \tan(\beta)tan(β)tangent, left parenthesis, beta, right parenthesis in the triangle.

Mathematics

1 answer:

goldenfox [79]2 years ago

3 0

Answer:

the correct answer is C 8/15

Step-by-step explanation:

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3^6 over 3^? = 3^4<br><br> What is the missing value?

netineya [11]

For the question mark, we can insert a variable considering it is an unknown number.

$\frac{3^6}{3^x} = 3^4 \\ \\ 3^{6-x} = 3^4 \ / \ use \ qotient \ rule \\ \\ 6 - x = 4 \ / \ cancel \ out \ 3 \\ \\ -x = 4 - 6 \ / \ subtract \ 6 \ from \ each \ side \\ \\ -x = -2 \ / \ simplify \\ \\ x = 2 \ / \ multiply \ each \ side \ by \ -1 \\ \\ Answer: \fbox {x = 2}$

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A random sample of 28 fields of spring wheat has a mean yield of 44.7 bushels per acre and standard deviation of 6.96 bushels pe

Bingel [31]

Answer:

$44.7-2.052\frac{6.96}{\sqrt{28}}=42.001$

$44.7+2.052\frac{6.96}{\sqrt{28}}=47.399$

And the confidence interval would be between 42.001 and 47.399

Step-by-step explanation:

Information given

$\bar X=44.7$ represent the sample mean for the sample

$\mu$ population mean

s=6.96 represent the sample standard deviation

n=28 represent the sample size

Confidence interval

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The degrees of freedom are given by:

$df=n-1=28-1=27$

The Confidence interval is 0.95 or 95%, the significance is $\alpha=0.05$ and $\alpha/2 =0.025$ ,the critical value for this case would be $t_{\alpha/2}=2.052$