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Julli [10]
3 years ago
5

Need help with thisssssss

Mathematics
1 answer:
Naddika [18.5K]3 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

The perimeter of a rectangle = 2l + 2w ( l is length and w is width )

given w = 63, then

2l + (2 × 63) = 324

2l + 126 = 324 ( subtract 126 from both sides )

2l = 198 ( divide both sides by 2 )

l = 99 m ← length of garden

-----------------------------------------------------------------

The area of a rectangle = lw ( l is length and w is width )

given l = 94, then

94w = 5828 ( divide both sides by 94 )

w = 62 cm ← width of window

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4 0
3 years ago
I need help with this if anyone can help
Fiesta28 [93]

Answer: \Large\boxed{Fourth~Choice.~f(x)=2-i}

Concept:

Here, we need to know the power of imaginary numbers

i = √(-1)

i² = -1

i³ = -i

i⁴ = 1

Solve:

<u>Given function expression</u>

f(x)=x^3-2x^2

<u>Given the requirement of the question</u>

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<u>Substitute values into the expression</u>

f(x)=(i)^3-2(i)^2

<u>Simplify the exponents</u>

f(x)=(-i)-2(-1)

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\Large\boxed{f(x)=2-i}

Hope this helps!! :)

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3 0
2 years ago
Read 2 more answers
Researchers are interested if a school breakfast program leads to taller children. Assume that the population of all 5 year-old
DedPeter [7]

Answer:

39-1.96\frac{1}{\sqrt{25}}=38.608    

39+1.96\frac{1}{\sqrt{25}}=39.392    

So on this case the 95% confidence interval would be given by (38.608;39.392)    

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=39 represent the sample mean for the sample  

\mu population mean (variable of interest)

\sigma=1 represent the population standard deviation

n=25 represent the sample size  

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)

The margin of error is given by:

ME= z_{\alpha/2}\frac{\sigma}{\sqrt{n}}

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: "=-NORM.INV(0.025,0,1)".And we see that z_{\alpha/2}=1.96

And replacing we got:

ME= 1.96 *\frac{1}{\sqrt{25}}= 0.392

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

39-1.96\frac{1}{\sqrt{25}}=38.608    

39+1.96\frac{1}{\sqrt{25}}=39.392    

So on this case the 95% confidence interval would be given by (38.608;39.392)    

7 0
3 years ago
Rewrite the subtraction number sentence as an addition number sentence.<br>5- (-2)<br>​
GrogVix [38]

Answer:

5 + 2          

Step-by-step explanation:

We have to rewrite the given statement in addition form.

The integers have  property of:

Negative(-)  Negative(-) = Positive(+)

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The given statement is:

5-(-2)

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Thus, the given statement can be written in positive form as

5 + 2

4 0
4 years ago
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liraira [26]

Answer:

D. x = 5.4, y = 6.67

Step-by-step explanation:

The triangles are similar as per problem description, so the ratios match:

y/5 = 4/3

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y/5 = 4/3

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x/3 = 9/5

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