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2 years ago

6

Dennis recently purchased an old car for $1000, and he knows that each year, the car’s value will increase by 2% each year. What

is the value of the car after 20 years?

1 answer:

Studentka2010 [4]2 years ago

6 0

It is going to be 1400

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Birth weights in the United States are normally distributed with a mean of 3420 g and a standard deviation of 495 g. The Newport

s344n2d4d5 [400]

Answer:

$P(2450$

And we can find this probability with this difference:

$P(-1.96$

If we use the normal standard table or excel we got:

$P(-1.96$

And that represent 95% of the data. so then the percentage below 2450 is 2.5% and above 4390 is 2.5 %

Step-by-step explanation:

Let X the random variable that represent the birth weights of a population, and for this case we know the distribution for X is given by:

$X \sim N(3420,495)$

Where $\mu=3420$ and $\sigma=495$

We are interested on this probability

$P(2450$

And we can use the z score formula given byÑ

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(2450$

And we can find this probability with this difference:

$P(-1.96$

If we use the normal standard table or excel we got:

$P(-1.96$

And that represent 95% of the data. so then the percentage below 2450 is 2.5% and above 4390 is 2.5 %

6 0

2 years ago

Compare the surface area-to-volume ratios of the moon and mars. express your answer using two significant figures.

antoniya [11.8K]

we know that

For a spherical planet of radius r, the volume V and the surface area SA is equal to

$V=\frac{4}{3} *\pi *r^{3} \\ \\ SA=4*\pi *r^{2}$

The
ratio of these two quantities may be written as

$SAV =\frac{(4*\pi*r^{2})}{(\frac{4}{3}*\pi*r^{3})} \\ \\ SAV =\frac{3}{r}$

we know

$rMoon=1,738Km\\ rMars=3,397 Km$

$\frac{SAV Moon}{SAV Mars} =\frac{3}{rMoon} *\frac{rMars}{3} \\ \\ \frac{SAV Moon}{SAV Mars} =\frac{rMars}{rMoon} \\ \\ \frac{SAV Moon}{SAV Mars} =\frac{3,397}{1,738} \\ \\ \frac{SAV Moon}{SAV Mars} =1.9545$

therefore

the answer is

$1.9$

5 0

3 years ago

Read 2 more answers

6a_6b+3a+4b pleas help me and cool

Ahat [919]

Answer:

9a - 2b

Step-by-step explanation:

6a - 6b +3a +4b . . . . . . . we assume your _ is supposed to be -

= a(6 +3) +b(-6 +4)

= 9a -2b

8 0

3 years ago

8th grade math . Pythagorran practice <br>

Serhud [2]

The answers according to rows are:

ROW 1 : diameter of base = 10, base area = 25π, volume of cylinder = 175π volume of cone = $\frac{175}{3}$ π

ROW 2 : base radius = 3, base area = 9π, height = 40/3, volume of cylinder = 120π
ROW 3 : base radius = 6, base diameter = 12, height = 4, volume of cylinder = 144π

<h3>What is mensuration?</h3>

Mensuration is an aspect of geometry that deals with measurement of volumes and area.

Analysis:

Row 1

Diameter of base = 2 x radius = 2 x 5 = 10

Base area = π $r^{2}$ = π $(5)^{2}$ = 25 $\pi$

Volume of cylinder = base area x height = 25π x 7 = 175π

Volume of cone = 1/3 x volume of cylinder = 175π/3

Row 2

Base radius = base diameter/2 = 6/2 = 3

Base area = π $r^{2}$ = π $(3)^{2}$ = 9π

Volume of cone = 1/3 x base area x height

base area x height = 3 x volume of cone

base area x height = 3 x 40π

Height = 120π/9π = 40/3

Cylinder volume = 3 x cone volume = 3 x 40π = 120π

Row 3

Base area = π $r^{2}$

36π = π $r^{2}$

r2 = $\sqrt{36}$

r = 6

Base diameter = 2 x 6 = 12

Volume of cone = 1/3 x base area x height

48π = 1/3 x 36π x height

Height = 4

Cylinder volume = 3 x 48 = 144π

In conclusion,

ROW 1 : diameter of base = 10, base area = 25π, volume of cylinder = 175π

volume of cone = $\frac{175}{3}$ π

ROW 2 : base radius = 3, base area = 9π, height = 40/3, volume of cylinder = 120π

ROW 3 : base radius = 6, base diameter = 12, height = 4, volume of cylinder = 144π

Learn more about mensuration: brainly.com/question/18541562

#SPJ1

4 0

1 year ago

Passing through (5, -4) and parallel to the line whose equation is y=-2x+3;<br> point-slope form

Marina CMI [18]

The answer is y=-2x+6

8 0

2 years ago