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Vsevolod [243]
3 years ago
9

Can someone help me?It's urgent and thank you!

Mathematics
1 answer:
allochka39001 [22]3 years ago
3 0

Answer:

the first option

Step-by-step explanation:

because x^3 is exponential while ab^2 is linear

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1.) You are one of five people who have been hired to mow the lawn at the local college. Each week, the dimensions of the plot y
iren [92.7K]

Answer:

1a)  Length = 7x + 3  & Width = 4x - 2

1b)  Area = 28x^2 -2x -6

1c)  Area = 2774 sq. m

2.  (x-4)(y+7)

Step-by-step explanation:

1a)

The length given as words is "3 more than 7 times x"

The width given as words is "4 times x minus 2"

The expression for length would be  7x + 3

The expression for width would be 4x - 2

1b)

The area is length * width

Since we already know the algebraic expressions for length and width from part (a) above, we use the formula:

Area = (7x+3)(4x-2) = 28x^2 -14x + 12x - 6 = 28x^2 -2x -6

Area = 28x^2 -2x -6

1c)

Given x = 10, we put this into the area expression we found in (b) above.Let's see:

28x^2 -2x -6\\=28(10)^2 -2(10) -6\\=2774

Area = 2774 sq. m

2.

We can group the first two terms and next two terms and write up:

xy-4y+7x-28\\(xy-4y)+(7x-28)\\y(x-4)+7(x-4)\\(x-4)(y+7)

That's the factored form.

8 0
3 years ago
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Write 368% as a mixed number.
Allushta [10]

Answer:

3\frac{17}{25}

Step-by-step explanation:

368%

<em>convert to a fraction</em>

\frac{368}{100}

<em>divide top and bottom by 2</em>

<em />\frac{184}{50}<em />

<em>divide top and bottom by 2</em>

<em />\frac{92}{25}<em />

92/25 = 3 remainder 17

3\frac{17}{25}

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3 years ago
Find two number closest to 5000 that are divisible by 36,21,and 12​
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1,008 hope this helps
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3 years ago
6x-1=x+3 Proszę o pomoc!!!
timama [110]

Answer:

The answer is 4/5

Step-by-step explanation:

#Hope it helps uh.....

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2 years ago
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A sample of eight workers in a clothing manufacturing company gave the following figures for the amount of time(in minutes) need
lilavasa [31]

Answer:

10.108 < \mu < 13.892    

Step-by-step explanation:

1) 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 represent the sample mean for the sample  

\mu population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size  

We have the following distribution for the random variable:

X \sim N(\mu , \sigma=0.45)

And by the central theorem we know that the distribution for the sample mean is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

2) 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)

In order to calculate the mean and the sample deviation we can use the following formulas:  

\bar X= \sum_{i=1}^n \frac{x_i}{n} (2)  

s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}} (3)  

The mean calculated for this case is \bar X=12

The sample deviation calculated s=2.268

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

df=n-1=8-1=7

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(0.025,7)".And we see that t_{\alpha/2}=2.36

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

12-2.36\frac{2.268}{\sqrt{8}}=10.108    

12+2.36\frac{2.268}{\sqrt{8}}=13.892

So on this case the 95% confidence interval would be given by (10.108;13.892)

10.108 < \mu < 13.892    

7 0
3 years ago
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