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4 years ago

Really struggling! Will give 20 points to answers correctly

Mathematics

2 answers:

Rom4ik [11]4 years ago

8 0

Answer:

8,820

Step-by-step explanation:

One candle:

½ × 10 × 7 × 6

= 210 cm³

42 candles:

42 × 210

= 8,820 cm³

Stolb23 [73]4 years ago

8 0

Answer:

8820 cm^3

Step-by-step explanation:

Volume of one prism = A(base prism)*height(prism)

A(base prism)= A(triangle) = 1/2*(base triangle)*Height(triangle)= 1/2*10*7 = 35 cm^2

Volume of one prism(or one candle) = A(base prism)*height(prism)= 35*6=210 cm^3

Volume of 42 candles = 210*42= 8820 cm^3

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No Explanation Please Don't Answer

vazorg [7]

Answer:

A) $\frac{1}{2}(9+15)w$

Step-by-step explanation:

Area of a trapezoid is $\frac{1}{2}(base1+base2) *h$

$A=\frac{1}{2}(9+15)*w$

8 0

3 years ago

What is the solution to 2(-4x+1)=2/3(x+2)

Rzqust [24]

Hello!

The answer to your problem is: $x=1/13$

Simplify both sides of the equation

$(2)(-4x)+(2)(1)=(2/3)(x)+(2/3)(2)$ $(Distribute)$

$-8x+2=2/3x+4/3$

Subtract 2/3x from both sides

$-8x+2-2/3x=2/3+4/3-2/3x$

$-26x+2=4/3$

Subtract 2 from both sides

$-26/3x+2-2=4/3-2$

$-26/3=-2/3$

Multiply both sides by 3/(-26)

$(3/26)*(-26/3x)=(3/-26)*(-2/3)$

Get your answer

$x=1/13$

Hope This Helps!

8 0

3 years ago

How can simple interest make saving money easier?

Lyrx [107]

Answer:

Your answer is b

4 0

3 years ago

Read 2 more answers

If the diameter of circle a measures half of the diameter of circle b, then the area of circle b is how many times the area of c

Eduardwww [97]

Circle b:

Diameter = x

Radius = $\frac{x}{2}$

Area = $\pi r^{2} = \pi ( \frac{x}{2} )^{2} = \frac{ \pi x^{2} }{4}$

Circle a:

Diameter = $\frac{x}{2}$

Radius = $\frac{x}{2} * \frac{1}{2} = \frac{x}{4}$

Area = $\pi r^{2} = \pi ( \frac{x}{4} )^{2} = \frac{ \pi x^{2} }{16}$

Thus,

Area of circle b to area of circle a

= $\frac{ \pi x^{2} }{4}$ ÷ $\frac{ \pi x^{2} }{16}$

= $\frac{ \pi x^{2} }{4}$ × $\frac{ 16 }{\pi x^{2}}$

= 4

Hence, the area of circle b is 4 times the area of circle a.

5 0

3 years ago

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