Can you guys help with this?

Answer:

The maximum error in the calculated surface area is approximately 8.3083 square centimeters.

Step-by-step explanation:

The circumference ([tex]s[/tex]), in centimeters, and the surface area ([tex]A_{s}[/tex]), in square centimeters, of a sphere are represented by following formulas:

[tex]A_{s} = 4\pi\cdot r^{2}[/tex] (1)

[tex]s = 2\pi\cdot r[/tex] (2)

Where [tex]r[/tex] is the radius of the sphere, in centimeters.

By applying (2) in (1), we derive this expression:

[tex]A_{s} = 4\pi\cdot \left(\frac{s}{2\pi} \right)^{2}[/tex]

[tex]A_{s} = \frac{s^{2}}{\pi^{2}}[/tex] (3)

By definition of Total Differential, which is equivalent to definition of Linear Approximation in this case, we determine an expression for the maximum error in the calculated surface area ([tex]\Delta A_{s}[/tex]), in square centimeters:

[tex]\Delta A_{s} = \frac{\partial A_{s}}{\partial s} \cdot \Delta s[/tex]

[tex]\Delta A_{s} = \frac{2\cdot s\cdot \Delta s}{\pi^{2}}[/tex] (4)

Where:

[tex]s[/tex] - Measure circumference, in centimeters.

[tex]\Delta s[/tex] - Possible error in circumference, in centimeters.

If we know that [tex]s = 82\,cm[/tex] and [tex]\Delta s = 0.5\,cm[/tex], then the maximum error is:

[tex]\Delta A_{s} \approx 8.3083\,cm^{2}[/tex]

The maximum error in the calculated surface area is approximately 8.3083 square centimeters.

Answer:

The required sample size is 329.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

31% of all computer users in a recent year had tried to get on a Wi-Fi network that was not their own in order to save money.

This means that [tex]\pi = 0.31[/tex]

Confidence level is not given, so we assume 95%.

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

What is the required sample size if you want to estimate this proportion with a margin of error of 0.05?

We need a sample size of n. n is found when M = 0.05. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.05 = 1.96\sqrt{\frac{0.31*0.69}{n}}[/tex]

[tex]0.05\sqrt{n} = 1.96\sqrt{0.31*0.69}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.31*0.69}}{0.05}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.31*0.69}}{0.05})^2[/tex]

[tex]n = 328.6[/tex]

Rounding up

The required sample size is 329.

Answer:

A, because A is the answer(I have my reasons) so A.

okey no links here u go

Answer:

2

Step-by-step explanation:

[4^2/(-1+3)^3+2*10] / (10+1)

= [16/8+20] / 11

= 22/11

=2

Hope this helps :) Giving me brainiest would help a lot :))

Answer:

y=2x+1

Step-by-step explanation:

y=mx+b

m=(13-5)/(6-2)

m=8/4

m=2

b=y-mx

b=5-2*2

b=5-4

b=1

y=2x+1

Answer:

y=2x+1

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(13-5)/(6-2)

m=8/4

m=2

y-y1=m(x-x1)

y-5=2(x-2)

y-5=2x-4

y=2x-4+5

y=2x+1

Answer:

Top : 24cm²

Bottom : 24cm²

Step-by-step explanation:

Surface area : Base × Height

Top :

3 × 8 = 24

Bottom :

3 × 8 = 24

Answer:

896.784

Step-by-step explanation:

Comment if you want the explanation

Answer: Try using calculatorsoup dot com Significant Figures auto Don't put m in the answer there's No Unit(s)

a = 12 m

b = 5 m

c = 13 m

P = 30 m

s = 15 m

K = 30 m2

ha = 5 m

hb = 12 m

hc = 4.6153846153846 m

Step-by-step explanation:

Answer:

80in²

Step-by-step explanation:

Hey There!

So the first step of this problem is to find the width of the scale drawing

To do so we need to find the scale factor

To find the scale factor we divide the length of the room by the length of the scale factor

32/8=4

so the scale factor is 4

now to find the width

40/4=10

so the width of the scale drawing is 10 in

now we can find the area given the length and the width

10x8=80in²

so we can conclude that the area of the scale drawing is 80in²

Answer:

Answer is 6(3x-1)

Step-by-step explanation:

I hope it's helpful!

Answer:

The expression is negative

Step-by-step explanation:

11/-3 is negative

-11/-3 is positive

negative + positive or positive + negative =  negative

Answer:

15, y = 1/2x + 3.75

Step-by-step explanation:

Am not 100% sure but for #15

cuz I graphed it & it looks alike

Answer:

b. the stage

Step-by-step explanation:

The stage typically has a stage clip on either side to hold the slide firmly in place.

Answer:

height be 4 in

length be 9 in

ANd, the width be 7 in

Step-by-step explanation:

Let us assume the height of the box be x

So the length would be 2x + 1

And, the width be x + 3

As we know that

The volume of the rectangular box = length × width × height

252 = (2x + 1) × (x + 3) × (x)

252 = (2x^2 + x) × (x + 3)

252 = 2x^3 + 6x^2 + x^2 + 3x

2x^3 + 7x^2 + 3x = 252

2x^3 + 7x^2 + 3x - 252 = 0

after solving this

x = 4

So height be 4 in

length be 9 in

ANd, the width be 7 in

Answer: d=20?

Step-by-step explanation:

Answer:

2 and 10

Step-by-step explanation:

6+4=10, and 6-4=2.

The number four units away from 6 are 2 and 10 and are represented below the number line.

The number line is a straight line containing numbers arranged at equal segments or periods throughout its duration.

A horizontal number line is the most common representation and can be extended infinitely in any direction.

Given that,

Four units away from 6

Four units higher →

6 + 4 = 10

Four units lower →

6 - 4 = 2

In the below number line, it is shown diagrammatically.

Hence "The number four units away from 6 are 2 and 10 and are represented below the number line".

To learn more about the number line,

https://brainly.com/question/13189025

#SPJ5

Answer:

here's the link to the answer

Step-by-step explanation:

WWW.math.com/int.etg

Answer:

5/9 and 3/9

Step-by-step explanation:

run through the different possibilities and see what has a difference of 2/9th. Here is the way I ran through it

1/9 + 8/9 Difference is not 2/9th

2/9 + 6/9 Difference is not 2/9th

3/9 + 5/9 Difference is 2/9th. This is our answer

Step-by-step explanation:

5/9 and 3/9.....add 5/9 and 3/9 and you will get 8/9....if you subtract 5 and 3 it will give you 2....5/9-3/9=2/9

Answer:

y=4

Step-by-step explanation:

Answer:

-50y+(-80)

Step-by-step explanation:

Answer:

Exact form: 5/2

Decimal form: 2.5

Mixed number form: 2 and 1/2

Step-by-step explanation:

when you divide a fraction you keep, change, flip

Equation: 5/8 ÷ 1/4

keep 5/8 the same

change the divide symbol into a multipulcation symbol

flip 1/4 the other way, so it's 4/1 (it's a whole number now)

then just multiply across

Equation now: 5/8 × 4/1

Answer:

more information

Step-by-step explanation:

Answer:

[tex]f(x) = (x + 19)(x^2 + 1)[/tex]

Step-by-step explanation:

Complex numbers:

The following relation is important for complex numbers:

[tex]i^2 = -1[/tex]

Zeros of a function:

Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.

Has zeros −19 and −i

If -i is a zero, its conjugate i is also a zero. So

[tex]f(x) = a(x - (-19))(x - (-i))(x - i) = a(x+19)(x+i)(x-i) = a(x+19)(x^2 - i^2) = a(x + 19)(x^2 + 1)[/tex]

Output of 40 when x=1

This means that when [tex]x = 1, f(x) = 40[/tex]. We use this to find the leading coefficient a. So

[tex]f(x) = a(x + 19)(x^2 + 1)[/tex]

[tex]40 = a(20)(2)[/tex]

[tex]40a = 40[/tex]

[tex]a = 1[/tex]

The polynomial is:

[tex]f(x) = (x + 19)(x^2 + 1)[/tex]

Answer:

C

Step-by-step explanation:

Answer:

x + f(x) + g(x)

Step-by-step explanation:

(f+g) = f(x) + g(x)

Therefore, x + (f+g) = x + f(x) + g(x)

If you are given equations to go with f(x) and g(x), you would plug in those equations to the above expression then combine like terms to find the fully simplified expression equal to x + (f+g).

Answer:

[tex]Area = 8\ unit^2[/tex]

Step-by-step explanation:

Given

The 7 * 3 grid

Required

Determine the area of the shaded

From the grid, 4 cells on 2 rows were shaded.

Since 1 grid cell = 1 unit.

The area is:

[tex]Area = 4\ unit * 2\ unit[/tex]

[tex]Area = 8\ unit^2[/tex]