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velikii [3]
3 years ago
10

What is the value of f (6) ?

Mathematics
1 answer:
Marta_Voda [28]3 years ago
5 0

\huge{ \boxed{ \tt{Solution :-}}}

<h3><u>Given :</u></h3>
  • \sf{f(x) =  \dfrac{ x^2 - 4x }{20}}
<h3><u>T</u><u>o</u><u> </u><u>Find</u><u> </u><u>:</u></h3>
  • \sf{What\: is\: the\: value \:of \: f(6)?}

Now we solving it :

\sf {  : \implies{f(x) =  \dfrac{ x^2 - 4x }{20}}} \\  \\ \sf {  : \implies{f(6) =  \dfrac{ 6^2 - 4  \times 6}{20}}} \\  \\ \sf {  : \implies{f(6) =  \dfrac{ 36 - 24}{20}}} \\  \\ \sf {  : \implies{f(6) =  \dfrac{ 12}{20}}} \\  \\ :\implies{\boxed {\tt{f(6) =  \dfrac{ 3}{5}}}}

\bf {\therefore{The\:value\:of\:f (6)\:is\:\dfrac{ 3}{5}.}}

\rule {307}{2}

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Here you go! Hope this helps

7 0
3 years ago
To make 3 dinner rolls, 34 cup of flour is used. How many rolls can you make with 212 cups of flour?
mash [69]

Answer:

If 34 cups of flour was use to make 3dinner rolls. . To get the amount of cup which will make a dinner roll divide 34/3=11 approximately. So if 11.3 cups give us 1 dinner roll. To get how many dinner rolls 212 cups of flour divide 212/11.3=18.8 approximately. Or divide 212/34*3=18.8 approximately

Stepchild-by-step explanation:

6 0
3 years ago
In August Emily’s clothing store sold 460 shirts with the ration of short sleeve to long sleeve being 3:7. How many short sleeve
kiruha [24]

138 short sleve shirts

step 1) add up the ratio of short to long sleve shirts: 3 + 7 = 10

step 2) divide the total # of shirts by 10: 460 / 10 = 46

step 3) because you are finding how many short sleeve shirts are sold, you multiply 46 x 3 = 138 short sleave shirts

5 0
3 years ago
Evaluate log3 (8), given log3 (2) ≈ 0.631
IRINA_888 [86]

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Step-by-step explanation:

7 0
3 years ago
A factory makes propeller drive shafts for ships. A quality assurance engineer at the factory needs to estimate the true mean le
borishaifa [10]

Answer:

1000-1.96\frac{2}{\sqrt{4}}=998.04    

1000+1.96\frac{2}{\sqrt{4}}=1001.96    

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".

Solution to the problem

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

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)  

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 table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that z_{\alpha/2}=1.96

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

1000-1.96\frac{2}{\sqrt{4}}=998.04    

1000+1.96\frac{2}{\sqrt{4}}=1001.96    

5 0
3 years ago
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