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o-na [289]
3 years ago
5

A piece of string is 112 inches long. The student wants to cut it into 2 pieces so that one piece is 3 times as long as the othe

r. How long is each piece?
Mathematics
2 answers:
goldenfox [79]3 years ago
6 0
112/2 = 56x3 = 168 im pretty sure :/
gogolik [260]3 years ago
3 0
37.33333333333 so about 37" I'm thinking..
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In 2009, Zane paid $9,540 in federal income tax. In 2010, he paid 10% less. How much did Zane pay in 2010?
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Answer: $940

Step-by-step explanation:

You multiply the 9540 by .10 because 10% turns into .10 and then when you multiply that which is.... 9540x.10= 954

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Simplify the product using the rules for exponents 14^3• 14^4
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Answer:

105,413,504

Step-by-step explanation:

14x14x14= 2,744

14x14x14x14= 38,416

2,744x38,416= 105,413,504

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How much material, in square inches, is needed to make the flag? square inches if the material costs $0.15 per square inch, how
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The amount needed to purchase materials needed to cover the area of the triangular flag is: $54.

<h3>What is the Area of a Triangle?</h3>

Area of a triangle = 1/2(bh)

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base (b) = 18 in.

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Michael is paid $9 per hour to work at the movie theater and $7 per hour when he helps his aunt at her bakery. Michael cannot wo
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if he works at the theater he can make $288 in 32 hours, if he works at his aunts he can make $224 in 32 hours. he should work at the theater to meet his goal.

I really hope this helps

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2 years ago
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A linear regression model is fitted to the data x y 37.0 65.0 36.4 67.2 35.8 70.3 34.3 71.9 33.7 73.8 32.1 75.7 31.5 77.9 with x
andrey2020 [161]

Answer:

b0= 144.59

b= -2.12

Se²= 1.02

99%CI E(Y/X=35): [68.78; 71.99]

Step-by-step explanation:

Hello!

I've arranged the given data:

X: 37.0, 36.4, 35.8, 34.3, 33.7, 32.1, 31.5

Y: 65.0, 67.2, 70.3, 71.9, 73.8, 75.7, 77.9

The equation of the linear regression model is:

Yi= β₀ + βXi + εi

Where

Yi is the dependent variable

Xi is the independent variable

εi represents the errors or residues

β₀ is the intercept of the line

β is the slope

The conditions to make a linear regression analysis are:

For each given value of X, there is a population of Y~N(μy;σy²)

Each value of Y is independent of the others.

The population variances of each population of Y are equal.

From these conditions the following characteristic is deduced:

εi~N(0;σ²)

The parameters of the regression are:

β₀, β, and σ²

If the conditions are met then you can estimate the regression line:

Yi= bo * bXi + ei.

And the point estimation of the parameters can be calculated using the formulas:

β₀ ⇒ b0= (∑y/n)-b(∑x/n)

β ⇒ b= [∑xy- ((∑x)(∑y))/n]/(∑x²-((∑x)²/n))

σ²⇒ Se²= 1/(n-2)*[∑y²-(∑y)²/n - b²(∑x²-(∑x)²/n)]

n= 7

∑y= 501.80

∑y²= 36097.88

∑x= 240.80

∑x²= 8310.44

∑xy= 17204.87

b0= 144.59

b= -2.12

Se²= 1.02

The estimated regression line is:

Yi= 144.59 -2.12Xi

You need to calculate a 99%CI E(Y/X=35), the formula is:

(b0 + bX0) ± t_{n-2;1-\alpha /2}*\sqrt{S_e^2(\frac{1}{n}+\frac{(X_0-X[bar])^2}{sumX^2-(\frac{(sumX)^2}{n} )} )}

(144.59 + (-2.12*35)) ± 4.032*\sqrt{1.02(\frac{1}{7}+\frac{(35-34.4)^2}{8310.44-(\frac{(240.80)^2}{7} )} )}

[68.78; 71.99]

With a 99% confidence level youd expect that the interval [68.78; 71.99] contains the true value of the average of Y when X= 35.

I hope it helps!

6 0
3 years ago
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