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solniwko [45]
1 year ago
9

F(x) = x^2 + 8x + 15; Find f(-14/5)

Mathematics
1 answer:
mamaluj [8]1 year ago
7 0

Answer:

either 449/25 or 11/25 depends on the -14/5 or

Step-by-step explanation:

-  \frac{14}{25}  or \:  \frac{ - 14}{25}

if it the first one then the answer should be 449/25 but if ut the second one it should be 11/25 .

u just substitute the -14/5 to x then solve

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3 years ago
Simplify by adding/subtracting the radicals<br>9) -3√6-376​
bearhunter [10]

Answer:

− 367 − 3 √ 6

Step-by-step explanation:

hope this helps!

5 0
3 years ago
Read 2 more answers
One step in the manufacture of a certain metal clamp involves the drilling of four holes. In a sample of 150 clamps, the average
Mandarinka [93]

Answer:

a) 72-1.52\frac{10}{\sqrt{150}}=70.76  

72+1.52\frac{10}{\sqrt{150}}=73.24  

So on this case the 87% confidence interval would be given by (70.76;73.24)  

b) ME= \frac{75-69}{2}= 3

And the margin of error is given by:

ME=t_{\alpha/2}\frac{s}{\sqrt{n}}

And replacing we can solve for the critical value t_{\alpha/2}

And we got:

t_{\alpha/2}= \frac{ME*\sqrt{n}}{s}= \frac{3* \sqrt{150}}{10}= 3.674

And we can find the significance level with this formula:

"=2*T.DIST(-3.674;149;TRUE)"

And the confidence level would be 1-0.000332= 0.999668

And then that correspond to 99.96%

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=72 represent the sample mean  

\mu population mean (variable of interest)  

s=10 represent the sample standard deviation  

n=150 represent the sample size  

87% confidence interval  

Part a

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 = 150-1=149

Since the Confidence is 0.87 or 87%, the value of \alpha=0.13 and \alpha/2 =0.065, and we can use excel, a calculator or a tabel to find the critical value. The excel command would be: "=-T.INV(0.065,149)".And we see that z_{\alpha/2}=1.52  

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

72-1.52\frac{10}{\sqrt{150}}=70.76  

72+1.52\frac{10}{\sqrt{150}}=73.24  

So on this case the 87% confidence interval would be given by (70.76;73.24)  

Part b

For this case the confidence interval is given by: (69,75)

We can estimate the margin of error like this:

ME= \frac{75-69}{2}= 3

And the margin of error is given by:

ME=t_{\alpha/2}\frac{s}{\sqrt{n}}

And replacing we can solve for the critical value t_{\alpha/2}

And we got:

t_{\alpha/2}= \frac{ME*\sqrt{n}}{s}= \frac{3* \sqrt{150}}{10}= 3.674

And we can find the significance level with this formula:

"=2*T.DIST(-3.674;149;TRUE)"

And the confidence level would be 1-0.000332= 0.999668

And then that correspond to 99.96%

3 0
3 years ago
Kevin deposited $250 each month for the first 3 months in his savings account. Then, he deposited $302.50 each month for the nex
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he averaged about $280 a month in deposits

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Which value cannot represent the probability of an event occurring?
Paha777 [63]

Answer:

D. 3/2

Step-by-step explanation:

Its over 100 percent because 3/2 is 150 percent

4 0
3 years ago
Read 2 more answers
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