g A sanitation supervisor is interested in testing to see if the mean amount of garbage per bin is different from 50. In a random sample of 36 bins, the sample mean amount was 50.67 pounds and the sample standard deviation was 3.9 pounds. Conduct the appropriate hypothesis test using a 0.01 level of significance.

Answer:

a) 2

b) 1

c) 4

d) 8

e) 3

f)  9

g) 6

h) 5

i)  7

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

So remember that a quarter of a circle is 90 degrees, a half of a circle is 180 degrees, and a whole circle is 360 degrees.

Looking at the image shown, it must be half a circle, whihc is 180 degrees. The image tells us that the 1st angle is 7 degrees. Now, we must find the 2nd angle.

Heres what we know however:

angle 1 + angle 2 = 180 degrees.

How do we know this?

Well, there are only 2 angles in this 180 degrees. We know that the first one is 7 degrees.

Lets input that into our nice lil equation to get an answer:

7 degrees+angle 2 = 180 degrees

Now lets solve.

Subtract 7 on both sides, and your left with:

angle 2 = 173 degrees.

So the answer must be:

173 degrees

Hope this helps! ;)

Answer:

3 ; 4/3

Step-by-step explanation:

x + 4(1/x) = 13/3

x + 4/x = 13/3

x^2 -13/3x + 4 = 0

3x^2 - 13x + 12 = 0

Δ = 169 - 144 = 25

x1 = (13 + 5)/6 = 3

x2 = (13-5)/6 = 4/3

Answer:

4/3 or 3

Step-by-step explanation:

Let, the number be x.

According to the question,

x+4×1/x=13/3

or, x+4/x=13/3

or, x^2+4/x=13/3

or, 3(x^2+4)=13x

or, 3x^2+12=13x

or, 3x^2-13x+12=0

or, 3x^2-(4+9)x+12=0

or, 3x^2-4x-9x+12=0

or, x(3x-4)-3(3x-4)=0

or, (3x-4)(x-3)=0

Either, Or,

3x-4=0 x-3=0

or, 3x=4 .•. x=3

.•. x=4/3

So, the possible numbers are 4/3 or 3.

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Since [tex]\frac{1}{6} and \frac{1}{6}[/tex] have the same denominators, we add them first. We then add [tex]\frac{1}{3}[/tex] to the result.

Answer:

the answer is 40.

Step-by-step explanation:

[tex]t \: = \: \frac{600}{9 + 6} = 40[/tex]

Answer:

2.4

Step-by-step explanation:

5/12 * _ = 1

0.41666666666 x 2.4 = 1

Answer:

b

Step-by-step explanation:

There are four solid and dotted sections and eight sections in total so the probability is 4/8 or 1/2

This one takes time to type all the math work.

Let me see.

There are two triangles here.

They both have the same area.

A = (1/2)(base)(height) times 2

A = (1/2)(42)(56) times 2

A = 1,176 times 2

A = 2,352 inches^2.

We also have three rectangles. We need to find the area of each rectangle individually.

Area of bottom rectangle = 42 times 72 or 3,024 inches^2.

Area of back rectangle = 56 times 72 or 4,032 inches^2.

Area of slanted rectangle = 70 times 72 0r 5,040 inches^2.

We now add all the areas together to find the total area of the entire figure.

Total Area = 2,352 inches^2 + 3,040 inches^2 + 4,032 inches^2 + 5,040 inches^2

Total area = 14,448 inches^2

Done!

Did you understand what was done here?

Answer to the question:

145.18519533

Area of the composite figure, which is not drawn to scale is,

⇒ 488 cm²

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

To find the area of the composite figure, which is not drawn to scale.

Now, The figure is made by a rectangle and a triangle.

We know that;

Area of rectangle = Lenght x Width

Hence, We get;

Area of rectangle = Lenght x Width

Area of rectangle = 22 x 17

Area of rectangle = 374 cm²

And, Area of triangle = 1/2 × Height × Base

⇒ Area of triangle = 1/2 × (22 - 10) × 19

⇒ Area of triangle = 1/2 × 12 × 19

⇒ Area of triangle = 114 cm²

Thus, Area of the composite figure, which is not drawn to scale is,

⇒ 374 + 114 cm²

⇒ 488 cm²

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Answer:

B

Step-by-step explanation:

The mean is the average of all ages meaning that the ages are close to 11.6 but don't necessarily have to be 11.6.

Answer:

The sample size 'n' = 72,030

Step-by-step explanation:

Step(i):-

Given that the Estimate Error = 0.013

Given that the standard deviation of the Population = 1.5

The estimated error is determined by

[tex]E = \frac{Z_{0.98} S.D }{\sqrt{n} }[/tex]

Step(ii):-

Given that the Level of significance = 0.98 or 0.02

Z₀.₀₂ =   2.326

The estimated error is determined by

        [tex]E = \frac{Z_{0.98} S.D }{\sqrt{n} }[/tex]

   [tex]0.013 = \frac{2.326 X 1.5 }{\sqrt{n} }[/tex]

      [tex]\sqrt{n} = \frac{3.489}{0.013} = 268.38[/tex]

Squaring on both sides, we get

    n =  72,030

Final answer:-

The sample size 'n' = 72,030

Answer:

1. R = T/3 ( R = Ruth's earnings, T = total earnings)

2. C = D - 5 ( C = Carl's age, D = Donald's age)

3. M = 35h ( M = Miles traveled, h = No. of hours )

4. S = R - 4 ( S and R = Sam and Randy's allowance respectively )

I hope this helps.

Answer: approximately normal

Step-by-step explanation:

Answer:

4 , 12 divided by 3 equals 4

Step-by-step explanation:

9514 1404 393

Answer:

  $131,600

Step-by-step explanation:

If the listing price is P, then the net is the difference between that and all of the various costs.

  P -(5%×P) -94,000 -16000 = 15,000

  0.95P = 125,000

  P ≈ 131,600 . . . . . . divide by 0.95

The minimum listing price must be $131,600.

Answer:

use a calculator

Step-by-step explanation:

also if this is easier change 1/2 and 1/3 to 0.5 and 0.3 where it would be 8.5 x 3.3

Answer:

V>_8

Step-by-step explanation:

20+2.5v >_ 40

The number of visits Nolan can make to earn his first free movie ticket is 8.

The inequality that represents the information in the question is: 20 + 2.5x ≥ 40.

Where x represents the number of visits to the movie theater.

In order to determine the value of x, take the following steps combine similar terms

2.5x  ≥40 - 20

Add similar terms

2.5x  ≥ 20

Divide both sides by 2.5

x  ≥ 8

To learn more about inequality, please check: https://brainly.com/question/5031619

Answer:

Top one, least to greatest:

[tex]-\sqrt{54}[/tex], [tex]-\frac{3}{9}[/tex], [tex]\frac{9}{5}[/tex], [tex]\pi[/tex], 6.6, [tex]\sqrt{75}[/tex]

Bottom one, greatest to least

9.6, [tex]\sqrt{34}[/tex], [tex]\frac{9}{9}[/tex], -4.2, [tex]-7\frac{2}{5}[/tex], [tex]-\sqrt{85}[/tex]

Answer:

Hope I helped and the answers are bellow

Step-by-step explanation:

Part A

-_/- 54 = - 7.38

-3/9 = - 0.3333

9/5 = 1.80

Pi= 3.14

Then 6.6

And finally _/- 75 = 8.66

Part B

9.6

_/- 34 = 5.83

9/9 = 1

-4.2

-7 2/5 = -7.40

-_/- 85 = - 9.21

Answer:

The second option which is 9π

Step-by-step explanation:

Well the fromula for finding area of a circle is

a=πr^2

We have the radius which is 3

3^2=9

9*π= 9π

9π=a

Answer:

3

Step-by-step explanation:

and i know this ;-;

Answer:

16.44 would be your right answer

Step-by-step explanation:

Answer:

46.44 cm 3

Step-by-step explanation:

9514 1404 393

Answer:

  40 square units

Step-by-step explanation:

The area can be considered as that of two trapezoids, a rectangle, and a triangle. The total area is the sum of the areas of these.

Draw two horizontal lines, one beginning at the left-most point, and another 2 units below that. Draw a vertical line segment extending the vertical line at the top down to the first horizontal line. Now the figure is divided as described above.

The upper left trapezoid has bases of 3 and 5, and a height of 4. Its area is ...

  A = 1/2(b1 +b2)h

  A = (1/2)(3 +5)(4) = 16

The trapezoid between the two horizontal lines has bases of 8 and 7, and a height of 2. Its area is ...

  A = (1/2)(8 +7)(2) = 15

The rectangle at upper right has a base of 2 and a height of 3. Its area is ...

  A = bh

  A = 2(3) = 6

The triangle at the bottom has a base of 3 and a height of 2. Its area is ...

  A = 1/2bh

  A = 1/2(3)(2) = 3

Then the total area of all of these pieces is ...

  Area = 16 +15 +6 +3 = 40 . . . . square units

Answer:

the answer is 40 square units

Answer: 96 cubic units

Step-by-step explanation: I checked on Khan and that’s what they’re saying is the correct answer.

Answer:

The volume of the cone is 96 cubic unit.

Step-by-step explanation:

volume of squared based pyramid = (1/3) × (Base Area) × (Height).

                      96 [tex]unit^{3}[/tex]                        = (1/3)× 30×(Height)

                                            9.6 unit    = Height

volume of cone  = (1/3) × (Base Area) × (Height).

                             = (1/3) × 30 ×      9.6 unit    

                             = 96[tex]unit^{3}[/tex]  

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Answer:

a. We fail to reject the null hypothesis

b. p > 0.01

c. The test result is not statistically significant

d. There not is enough statistical evidence to suggest that regular exercise improves academic achievement

Step-by-step explanation:

No. Physical Exercise (X₂); 3.75, 2.74, 3.42, 1.67, 3, 3.25, 2.65

Physical Exercise (X₁); 4.00, 2.67, 3.65, 2.11, 3.21, 3.60, 2.80

GPAs Pair number; 1, 2, 3, 4, 5, 6, 7

The null hypothesis, H₀; μ₁ ≤ μ₂

The alternative hypothesis, Hₐ; μ₁ > μ₂

From the data, we have;

[tex]\overline d[/tex] ≈ 0.222857

Where;

d = X₁ - X₂

[tex]\overline d = \dfrac{1}{n} \times \sum_{i = 1}^{n} d_i[/tex]

Similarly, we have;

[tex]s_d^2=\dfrac{\sum \left (d-\overline d \right )^{2} }{n - 1}[/tex]

From which we get;

[tex]s_d[/tex] ≈ 0.160905

The critical-t at n - 1 = 7 - 1 = 6 degrees of freedom for α = 1% = 0.01, is given as follows;

[tex]t_{\alpha /2}[/tex] = [tex]t_{(0.005, \, 6)}[/tex] = 3.707

The test statistic, t = [tex]\overline d[/tex]/([tex]s_d[/tex]/√n)

∴ t = 0.222857/(0.160905/√7) ≈ 3.664

The test statistic , t ≈ 3.664

Therefore, given that the test statistic is smaller than the critical-t,

b. The p-value estimate is p > 0.01

c. The test result is not statistically significant

d. The test result can be reported in a literature as that there is not enough statistical evidence to reject the null hypothesis, therefore, there not is enough statistical evidence to suggest that regular exercise improves academic achievement

Answer:

The answer is A. 8, 9, 10

Answer:

A. 8, 9, 10.

Step-by-step explanation:

Consecutive numbers counting numbers which are 1 greater than the other, therefore:

x + (x + 1) + (x + 2) = 27

(x + x + x) + (1 + 2) = 27

3x + 3 = 27

–3 –3

3x = 24

÷3 ÷3

x = 8.

x = 8 → [ x + (x + 1) + (x + 2) ] =

(8) + (8 + 1) + (8 + 2) = 8 + 9 + 10

Answer:

0.1190

Step-by-step explanation:

If z = -1.18, the total area to the left under the standard normal curve is taken from the z-distribution table attached;

P(z < - 1.18) = 0.1190

Also, to the right of z = 1.18, we have;

P(z > 1.18) = 1 - P(z < 1.18)

From the second image attached from z-table, we have;

P(z > 1.18) = 1 - 0.8810

P(z > 1.18) = 0.1190

Thus, the total area to the left of z= - 1.18 and to the right of z= 1.18 under the standard normal curve is 0.1190

Answer:

formula for finding the perimeter of a triangle is A+B+C simply if the angles are equal

Answer:

The answer is 8

Answer:

16 inches

Step-by-step explanation:

First, do 56/7. You do this to see how much more feet it is than the scale. The answer is 8.

Because the answer is 8, you would multiply 2 inches by 8 to be proportional to 56 feet.

Answer:

The population growth rate is of 1.86%.

Step-by-step explanation:

Population growth rate:

Immigration plus births subtracted by emigration and deaths.

In this question, we have that:

Birth: 14.3 per 1000

Death: 11.8 per 1000

Immigrations: 21.6 per 1000

Emigrations: 5.5 per 1000

Rate:

[tex]\frac{14.3 + 21.6 - 11.8 - 5.5}{1000} = \frac{18.6}{1000} = 0.0186[/tex]

As a percentage:

Multiply by 100%. So

0.0186*100% = 1.86%

The population growth rate is of 1.86%.