What is the volume of a hemisphere with a diameter of 8.9 cm, rounded to the nearest tenth of a cubic centimeter?

Solution :

From the table,

Number of countries = [tex]$N_i$[/tex]

Mean = [tex]$\overline Y_i$[/tex]

Standard deviation = [tex]$\sigma_i$[/tex]

Margin of error of B = 50,000 acres

So we determine the [tex]$\text{sample size n}$[/tex] and then allocate the four regions of [tex]$n_1, n_2, n_3$[/tex] and [tex]$n_4$[/tex].

Under the [tex]$\text{proportional allocation}$[/tex], the [tex]$\text{equation}$[/tex] for the value of [tex]$n_1$[/tex] which yields [tex]$V(\overline Y_{st}) = D = \frac{B^2}{H}$[/tex]  is given by :

[tex]$n=\frac{\sum_{K=1}^L N_K \sigma^2_K}{ND+\frac{1}{N}\sum_{K=1}^L N_K \sigma^2_K}$[/tex]

Let us complete the numerator

[tex]$\sum_{K=1}^L N_K \sigma^2_K = N_1\sigma_1^2 + N_2\sigma_2^2 + N_3\sigma_3^2 + N_4\sigma_4^2$[/tex]

                [tex]$= 1052 \times (271)^2 + 210 \times (79)^2 + 1376 \times (244)^2 + 418 \times (837)^2 $[/tex]

                = 453329920

The bound on the error of estimation is B = 50,000 acres

Hence we get

[tex]$D=\frac{B^2}{H}$[/tex]

  [tex]$=\frac{50000^2}{4}$[/tex]

  = 625,000,000

[tex]$n=\frac{\sum_{K=1}^L N_K \sigma^2_K}{ND+\frac{1}{N}\sum_{K=1}^L N_K \sigma^2_K}$[/tex]

  [tex]$=\frac{453329920}{3056 \times 625 + \frac{1}{3056} \times 453329920}$[/tex]

 = 220.24044

≈ 221 (approximately)

Therefore, the sample size under the proportional allocation from each stratum are given by :

[tex]$n_1=n\left[\frac{N_1}{\sum_{K=1}^\mu N_K}\right]$[/tex]

   [tex]$=221\left[\frac{1052}{3056}\right]$[/tex]

   ≈ 76

[tex]$n_2=n\left[\frac{N_2}{\sum_{K=1}^\mu N_K}\right]$[/tex]

   [tex]$=221\left[\frac{210}{3056}\right]$[/tex]

   ≈ 15

[tex]$n_3=n\left[\frac{N_3}{\sum_{K=1}^\mu N_K}\right]$[/tex]

   [tex]$=221\left[\frac{1376}{3056}\right]$[/tex]

   ≈ 100

[tex]$n_4=n\left[\frac{N_4}{\sum_{K=1}^\mu N_K}\right]$[/tex]

   [tex]$=221\left[\frac{418}{3056}\right]$[/tex]

   ≈ 30

Thus, we should select 76 counties from North central region, 15 counties from the north east region, 100 from south region and 30 from west region.

We can also estimate mean acreage of each county across all the county with a margin of error of 50,000 acres.

Answer:

Step-by-step explanation:

[tex]14^2 = b^2+6^2\\b^2 = 14^2-6^2\\b = \sqrt{14^2-6^2} \\ = \sqrt{160}\\ = 12.6491106407[/tex]

Rounding off to nearest tenth:

b ≈ 12.6

tanθ = 6/12.6

[tex]tan^{-1} (6/12.6)\\ = 25.46334506\\[/tex]

Hence angle A ≈ 25.5

Angle B = 180-25.5-90

Angle B = 64.53665494

Hence, Angle B ≈ 64.5

Feel free to mark as brainliest

Answer:

A

Step-by-step explanation:

Answer:

for number 2:

(6cm x 4cm) + (6cm x 3cm)

24cm + 18cm + 12cm

2 x 54cm

108cm

for number 3:

80m + 1920m

2,000m

Answer:

Step-by-step explanation:

Convert the equation into slope-intercept form.

5x-6y =30           Subtract 5x from each side

-6y = -5x + 30     Multiply each term by -1

6y = 5x – 30       Divide each side by 6

y = ⅚x - 5

2. Create a table of different x and y values,

x        ⅚x – 5        y  

-12      ⅚(-12) – 5     -15  

-6      ⅚(-6) – 5       -10

0       ⅚(0) – 5         -5

6       ⅚(6) – 5          0

12        ⅚(12) – 5        5

3. Convert the table to ordered pairs

(-12,-15)

(-6, -10)

(0, -5)

(6, 0)

(12, -5)

4. Plot the points and draw a line through them.

Answer:

the number of callers on average are in the system at any given time is 440

Step-by-step explanation:

Given that

The calls that arrive in a call center have an average rate of 100 per min

But it we involve the waiting time so the call needed 4.4 minutes

We need to to find no of callers are in the system at any given time

SO,

= 100 per min × 4.4

= 440

hence, the number of callers on average are in the system at any given time is 440

The same would be considered

Answer:

20 seconds

Step-by-step explanation:

roots are (0,0) and (20,0) so 20-0 will provide the time from takeoff to landing

Answer:

75 boys

Step-by-step explanation:

[tex]\frac{5}{4}[/tex] = [tex]\frac{x}{60}[/tex]

4x = 300

x = 75

Answer:

75

Step-by-step explanation:

5/4 = x/60

4x = 300               300 divided by 4 equals 75

Answer:

the answer is 17 fhydsfgy

Answer:

More than half of the players are under age

40.

Step-by-step explanation:

Evaluating the expression : More than half of the players are under age 40.

Below 40s :

Number of players in 20s = 19

Number of players in 30s = 24

(19 + 24) = 43 players

40s and above :

40s = 8 players

50s = 10 players

60s = 5 players

70s = 2 players

(8 + 10 + 5 + 2) = 25 players

Hence, total number of players below 30s is more Than half of the total players

y=3

x=1

1+3=4

(X+3)4>3(y)

Answer:

560

Step-by-step explanation:

So we know that 20% goes into 100% 5 times.

700/5 will give you a clean 140, meaning 20% of the price is 140

Thus 700-140 and you get 560 dollars

If you have a calc you could also do 700 x .80 (since .80 is also equal to 80%) and get the same answer

Step-by-step explanation:

from the triangle

let angle close to 130⁰ be y

130⁰+y⁰=180⁰(sum of angles on a straight line)

y⁰= 180⁰-130⁰

y = 50⁰

70 + y + x = 180⁰(sum of angles in a triangle)

70 + 50 + x= 180⁰

x= 180⁰-120⁰

x=60⁰

Answer: im not shore how to answer but here is to answers: 980 ft when multiplied and 31ft when added

Step-by-step explanation:

plz mark brainlyest

Answer:

6 should be the correct answer!

Step-by-step explanation:

all of the work I did, you can ignore these:

1 x 2 = 2

2 x 2 = 4

2 x (2 - 1) = 2 x 1 = 2

2 + 4 = 6

Answer:

The answer is 6

Step-by-step explanation:

Answer:

I believe it's 6^2.

Step-by-step explanation: 6^2 is the same as 6 times 6. Here's a tip, if you see a 2 as an exponent, you can also say x squared. X to the power of 2 is the same as x squared.

Answer:

[tex]6^{2}[/tex]

Step-by-step explanation:

[tex]6^{1}[/tex] = 6        [tex]\sqrt{6}[/tex] = 2.45 (NOT a perfect square)

[tex]6^{2}[/tex] = 36      [tex]\sqrt{36}[/tex] = 6 (perfect square)

[tex]6^{3}[/tex] = 216     [tex]\sqrt{216}[/tex] = 14.7 (NOT a perfect square)

[tex]6^{5}[/tex] = 7776   [tex]\sqrt{7776}[/tex] = 88.18 (NOT a perfect square)

If the answer ends with a decimal, they are not perfect squares.

Answer:

y = 2x - 4

Step-by-step explanation:

y = (slope)x + (y intersept)

y = (2)x + (-4)

y = 2x - 4

Answer:

The answer is

(0 , 0)

Good luck!

Answer:

It's A

Step-by-step explanation:

5,29×10=52,9

you move coma one place to the right when times 10

Answer:

52.9.

Step-by-step explanation:

[tex]5.29*10=52.9[/tex]

Whenever a number is multiplied by 10, move the decimal one place to the right.

Whenever a number is multiplied by 100, move the decimal two places to the right.

Whenever a number is multiplied by 1000, move the decimal three places to the right.

I'm sure you understand now.

Therefore, the product is 52.9.

However, I do not see an answer choice for this. Perhaps you made a mistake?

Answer:

the top box plot should be the way to go

Answer:

this is the answer

Step-by-step explanation:

I hope it was helpful

B is the answer

Answer:

need help too

Step-by-step explanation:

Answer:

(11.605 ; 22.195)

Step-by-step explanation:

11 10 16 15 18 12 25 20 18 24

Sample mean, xbar = Σx / n = 169 / 10 = 16.9

Standard deviation = 5.152 ( using calculator)

Confidence interval :

Xbar ± Margin of error

Margin of Error = Tcritical * s/√n

Df = n - 1 = 10 - 1 = 9

Tcritical at 99%, df =9 = 3.2498

Margin of Error = 3.2498 * 5.152/√10 = 5.2946

Lower boundary :

16.9 - 5.2946 = 11.6054

Upper boundary :

16.9 + 5.2946 = 22.1946

(11.605 ; 22.195)

Answer:

y=-2x+13

Step-by-step explanation:

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

m=(5-3)/(4-5)

m=2/-1

m=-2

y-y1=m(x-x1)

y-3=-2(x-5)

y=-2x+10+3

y=-2x+13

Answer:

47 yd

Step-by-step explanation:

just add all the values of the sides up to find perimeter

[tex]11 + 6 + 10 + 4 + 16 = 47[/tex]

Answer:

=28

Step-by-step explanation:

3(5 p - 1 p ) - 4 ( 3 p -7) when p = 4​

3 (20-4) -4 ( 12 - 7)

60 - 12 -48 +28

= 28

3 ( 5p - p ) - 4 ( 3p - 7 ) =

3 ( 4p ) - 12p + 28 =

12p - 12p + 28 =

0 + 28 = 28

Thus the value of p is not importent at all and the answer is always 28 .

Answer:

the last one it goes in the opposite direction

Answer:

The median for the first plot is 3

The median for the second plot is 7

The largest value for the first plot is 6

So the difference for the first plot is 6 - 3 = 3

The largest value for the second plot is 10

So the difference for the second plot is 10 - 7 = 3

This means the variation quadrial  is bigger for the red plot, but the difference beetween the points is equal.

Answer:

not 75 points

Step-by-step explanation:

question seems incomplete

there are no notations for inequalities