The competitive advantage of small American factories such as Tolerance Contract Manufacturing lies in their ability to produce parts with highly narrow requirements, or tolerances, that are typical in the aerospace industry. Consider a product with specifications that call for a maximum variance in the lengths of the parts of 0.0008. Suppose the sample variance for 30 parts turns out to be s2 = 0.0009.

Required:
Use α = 0.05 to test whether the population variance specification is being violated. State the null and alternative hypotheses.

Answer:

Height, h = 21 millimeters.

Step-by-step explanation:

Given the following data;

Volume = 8792mm³

Radius = 20 mm

To find the height;

We know that the shape of an anthill is conical in nature.

Mathematically, the volume of a cone is given by the formula;

[tex] V = \frac{1}{3} \pi r^{2}h[/tex]

Where;

Substituting into the equation, we have;

[tex] 8792 = \frac{1}{3} * 3.142*20^{2}*h [/tex]

[tex] 8792 = \frac{1}{3} * 3.142*400*h [/tex]

[tex] 8792 = \frac{1}{3} * 1256.8*h [/tex]

[tex] 8792 = 418.93*h [/tex]

[tex] Height, h = \frac {8792}{418.93}[/tex]

Height, h = 20.99 ≈ 21 mm.

Therefore, the height of the cone is 21 millimeters.

Answer:

3

Step-by-step explanation:

9 divide by 3 is 3 itself so the answer is 3

Answer:

add my sc = bmic ava, no spaces

or add my discord = XoXo_ava

Step-by-step explanation:

Also have a great day and remember youre worth, dont let no boy/girl tear u down. leave them h*es aside and focus on yo self!!!

Answer:   b

Step-by-step explanation:

x= 5+√35 and 5-√35

Answer:

Since 15 mins are 90 degrees

10 mins are 60 degrees

Answer:

Step-by-step explanation:

According to www.cliffsnotes.com it says: The derivative of a function may be used to determine whether the function is increasing or decreasing on any intervals in its domain. If f′(x) > 0 at each point in an interval I, then the function is said to be increasing on I. f′(x) < 0 at each point in an interval I, then the function is said to be decreasing on I.

Hope this helps!!

ans of these is 180

Step-by-step explanation:

abckdkkdkekekekekeoe

Answer:

Step-by-step explanation:

Hollllaaaa

Answer:

width is 13.5 yards

Step-by-step explanation:

2" / 3 yds = 9" / 'x' yards

cross-multiply:

2x = 27

x = 13 1/2 yards

Answer:

dfdg

Step-by-step explanation:

fd

Answer:

Not a function.

Step-by-step explanation:

The vertical line test is when you run a line -vertical or AKA: up and down- through the path of a graph if the line runs through the path more than once, it has failed the vertical line test, and therefore is not a function. The graph in question fails this test, and cannot be a function.

Answer:

90°

Step-by-step explanation:

Actually the question should be AC is tangent to circle B at point C. What is the measure of angle BCA.

AC is tangent and BC is radius.

Radius is perpendicular to the tangent.

Therefore,

measure of angle BCA = 90°

Answer:

2√5 ≅ 4.47

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

The standard polynomial is given by:

[tex]f(x)=a(x-p)(x-q)...[/tex]

Where a is the leading coefficient and p and q are the zeros.

We are given that the zeros are x = 0, 1, and 1 + i.

First, by the Complex Root Theorem, if 1 + i is a zero, then 1 - i must also be a zero.

Therefore:

[tex]f(x)=1(x-(0))(x-(1))(x-(1+i))(x-(1-i))[/tex]

Simplify:

[tex]f(x)=x(x-1)(x-(1+i))(x-(1-i))[/tex]

Expand the third and fourth factors:

[tex](x-(1+i))(x-(1-i))=(x-(1+i))(x)-(x-(1+i))(1-i)[/tex]

Distribute:

[tex]=x^2-x-ix-(x(1-i)-(1+i)(1-i))[/tex]

Expand:

[tex]=x^2-x-ix-x+ix+(1-i+i-i^2)[/tex]

Therefore:

[tex]=x^2-2x+(2)=x^2-2x+2[/tex]

Hence, our polynomial function is:

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

Shorter Answer:

7 inches → 280 yards

1 inch → 280 ÷ 7 = 40 yards

5 inches → 40 x 5 = 200 yards

Area = 280 x 200 = 56 000 yards

Answer: 56 000 yards

LongerAnswer (going more into depth):

Area of the actual park is 56000 square yards.

Step-by-step explanation:

A scale drawing of a rectangular park has dimensions as 5 inches width and 7 inches length.

Actual length of the park has been given as 280 yards.

So scale factor used in the drawing is 7 inches = 280 yards

Or 1 inch = 40 yards

Since width of the rectangular park is = 5 inch  

So actual width of the park will be = 5×40 = 200 yards

Now we can calculate the area of the park.

Actual area of the park = Length × Width

= 280×200

= 56000 yards²

Therefore, area of the actual park is 56000 square yards.

Answer:

the answer is 7/10, and yes it is between a whole and a half because 7/10 is over 1/2 but less that a whole.

Answer:

a) The deviations from the mean

|x-x⁻|  :   1.06       |-0.04 |       |-0.84 |     |-0.34 |     | 0.16  |  

b)

The variance of the sample      S² = 0.493

The standard deviation of the sample  S =√0.493 = 0.7021

Step-by-step explanation:

Step(i):-

Given that the sample observations

   x   :    116.8       115.7     114.9     115.4     115.9

Mean of the sample

                       = ∑ x/n

 Mean of sample x⁻  = [tex]\frac{116.8+115.7+114.9+115.4+115.9}{5}[/tex]

 Mean of sample x⁻ = 115.74        

Step(ii):-    

The deviations from the mean

|x-x⁻|  :  116.8-115.74       115.7-115.74   114.9-115.74  115.4-115.74   115.9-115.74

|x-x⁻|  :   1.06                 |-0.04 |               |-0.84 |         |-0.34 |             | 0.16  |  

|x-x⁻||²:    1.1236             0.0016             0.7056          0.1156             0.0256

The variance of the given sample observations

          S²  = ∑ (x-x⁻)² / n-1

         [tex]S^{2} = \frac{1.1236+0.0016+0.7056+0.1156+0.0256}{5-1} = 0.493[/tex]

The variance of the sample      S² = 0.493

The standard deviation of the sample  S =√0.493 = 0.7021

Answer:

100 cubic cm

Step-by-step explanation:

5 x 2 = 10

10 x 10 = 100

Answer:

hope it helped have a good day mate

Answer: $156

Step-by-step explanation: 312 divided by 2 = 156

Answer:

10 per hour

Step-by-step explanation:

Answer: 75

Step-by-step explanation:

Tell me if it’s wrong or not

a= 224in^3

b= 240in^3

2. 144ft^3

3. 135in^3

4. l=4

   w= 3

   h=3

   A= 36in³

Answer:

The growth rate for the period was of 17.86%.

Step-by-step explanation:

To find the growth rate as a percent, we multiply the change by 100, and divide by the initial value.

A house cost $112,000 in 2010. By the year 2015, the house had a value of $132,000.

Change: 132 - 112 = 20

Initial value: 112

Growth rate as a percent:

20*100/112 = 17.86%

The growth rate for the period was of 17.86%.

Answer:b

Step-by-step explanation:

Answer: 4x-6= 18

4x=24

x= 24 & 4

x=6

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

I'm not exactly sure of what you mean by property but I think it might be associative property of multiplication?  

But to solve for x you would subtract 6 from 18 which gives your 12. Then you divide by 4 to get the x alone and 12/4 is 3.

Answer:

Step-by-step explanation:

18 hours : 48 hours = 3:8

Answer:

Step-by-step explanation:

You need to find the slopes of the line segments.

If the lines are perpendicular to each other, the product of their slopes is -1.

If the lines are parallel, they have the same slope.

Answer:

B. 2x-3

Step-by-step explanation:

14 and 21 have a common factor which is 7 so divide both by 7 to get 2x-3.

Answer:b

Step-by-step explanation: took the test

Answer:

x=40°

Step-by-step explanation:

x=180-75-65=40°

Answer:

hello! have a good day!

21 x 15 = (20 + 1) x 15 = 315