A hollow shaft has an outside diameter of 6.0cm and an inside
diameter of 4.0cm. The cross-sectional area of the shaft is:
Select one:
O a. 1571 mm sa
O b. 6283 mm sa
O c. 628 mm sa
O d. 1257 mm sa
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Solution :

The objective of the study is to test the claim that the loaded die behaves at a different way than a fair die.

Null hypothesis, [tex]$H_0:p_1=p_1=p_3=p_4=p_5=p_6=\frac{1}{6}$[/tex]

That is the loaded die behaves as a fair die.

Alternative hypothesis, [tex]$H_a$[/tex] : loaded die behave differently than the fair die.

Number of attempts , n = 200

Expected frequency, [tex]$E_i=np_i$[/tex]

                                        [tex]$=200 \times \frac{1}{6} = 33.333$[/tex]

Test statistics, [tex]$x^2= \sum^6_{i=1} \frac{(O_i-E_i)^2}{E_i} $[/tex]

                            [tex]$=\frac{(28-33.333)^2}{33.333}+\frac{(29-33.333)^2}{33.333}+\frac{(40-33.333)^2}{33.333}+\frac{(41-33.333)^2}{33.333}+\frac{(28-33.333)^2}{33.333}+$[/tex][tex]$\frac{(34-33.333)^2}{33.333}$[/tex]

≈ 5.8

Degrees of freedom, df = n - 1

                                       = 6 - 1

                                       = 5

Level of significance, α = 0.10

At α = 0.10 with df = 5, the critical value from the chi square table

[tex]$x^2_{\alpha}= \text{chi inv}(0.10,5)$[/tex]

     = 9.236

Thus the critical value is [tex]$x_{\alpha}^2=9.236$[/tex]

[tex]$P \text{ value} = P[x^2_{df} \geq x^2]$[/tex]

             [tex]$=P[x^2_5\geq 5.80]$[/tex]

             = chi dist (5.80, 5)

             = 0.3262

Decision : The value of test statistics 5.80 is not greater than the critical value 9.236, thus fail to reject [tex]$H_o$[/tex] at 10% LOS.

Conclusion : There is no enough evidence to support the claim that the loaded die behave in a different than a fair die.

Answer:

1)x⁴+x=14 (non linear)

2)5.3x+y=42 (linear)

Step-by-step explanation:

1)as it has only one variable

2)as it has more than one variable

Answer:

It's me again!!

It's A or the one u clicked on

Step-by-step explanation:

because (2^3)-5 eqeuals 1/32768

and 1/2^15 equals to 1/32768

Answer:

the price of the package without the discount is $150

Step-by-step explanation:

The computation of the price of the package without the discount is shown below:

Let us assume the price without discount be x

So after discount it would be x - 0.12x = 0.88x

Now the equation would be

0.88x = $132

x = $132 ÷ 0.88

= $150

hence, the price of the package without the discount is $150

We simply applied the above formula so that the correct value could come

And, the same is to be considered

Answer:

1e+44

Step-by-step explanation:

Answer:

1e+44

Step-by-step explanation:

Answer:

the last one [d)]

Step-by-step explanation:

First, we need to use the triangle inequality theorem. The sum of the lengths of the two sides must be greater than the third side.

a) 7+14=21=21 (this cannot represent a triangle)

b) 13+23=36<37 (this cannot represent a triangle)

c) 7+18=25=25 (this cannot represent a triangle)

d) 11+24=35>32 (this can represent a triangle)

d) is the answer

Hope this helps!

Answer: 0

Step-by-step explanation:

100/4 = 25 because 25x4=100 then 25 is rounded down to 0 because it’s below 50. If it was 60 we would round it up to 100

Answer:

320 Customers took the survey

Step-by-step explanation:

Answer:

Step-by-step explanation:

144 is 45% of the total customers who took the survey.

Total customers who took survey= 144 × 100/45 = 320

Answer:

i can't see the pic can u re upload it?

Step-by-step explanation:

Answer:

i dont know the answer but i did find a link to help u

Step-by-step explanation:

https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-add-negatives/v/adding-negative-numbers

Answer:

2700

Step-by-step explanation:

Answer: I think so A because it being multiple by 10 and u can get 6

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

because it has the smallest power

Answer:

C. x=4/3

Step-by-step explanation:

Answer:

4/3

Step-by-step explanation:

I got it right on the test

Step-by-step explanation:

According to the power law of indices, when base numbers are the same and multiplying,add their exponents but when base numbers are the same and dividing, subtract their exponents.

Applying the above rule to the numerators,we have 7^(8+3+4)=7^15

Applying to the denominators we have,

7^(9+5)=7^14

Now we have 7^15/7^14=7

Answer:

a. $13

b. $3

Step-by-step explanation:

Juan wants to start a lemonade stand to earn money. He needs money to purchase the materials before he can sell the lemonade and earn money. His mother agrees to loan him $10. He makes a list of the items he wants to buy.

Cups $2

Lemons $8

Sugar $3

a. How much money do the supplies cost?

b. How much money does he have to spend?

a. Cost of each supply;

Cups $2

Lemons $8

Sugar $3

Total cost of the supplies = $2 + $8 + $3

= $13

b. How much money does he have to spend?

His mother agreed to loan him $10

Total cost of supplies = $13

Amount of money he has to spend = Total cost of supplies - Loan from his mother

= $13 - $10

= $3

Answer:

How much money do the supplies? Answer: $13

How much money does he have to spend? Answer: $10

Step-by-step explanation:

I did it on edge 2021 & got it correct!

Hopefully this helps :)

bye <3

Answer: it’s a 16.667% increase

Step-by-step explanation:

Because you increased from 15 to 18 which is 3 over a total of 18 now.

3/18=1/6=16.667%

Answer:

20%

Step-by-step explanation:

.15 is 1 percent of 15. .15 x 20 = 3. 15 + 3 = 18 PLS MARK ME BRAINLIEST

Answer:50.27

Step-by-step explanation:

Answer:

200 miles

Step-by-step explanation:

First have to find how many miles he drives in 1 hour. So, we divide 120 miles by 3 hours, since we assume that he managed to drive an equal amount in each hour.

120/3=40

This shows that Mr. Sanchez drove at a rate of 40 mph.

But, this isn't the answer. 40 miles is the distance for one hour of driving. To find the distance for 5 hours, we have to multiply the distance by 5 as well.

40 times 5=200

O 200 miles

120 ÷ 3

=

40

40 × 5

=

200

Hope I helped!!

41.4

Step-by-step explanation:

Hope this helps ∞<3

let me know if its right or wrong

sorry dude I'm stupid I would help but I'm a idot

Answer:constrictive intergers

Step-by-step explanation:

Answer:

[tex]140,141,142,143[/tex]

Step-by-step explanation:

[tex]Let \: x \: be \: the \: lowest \: number .\\ We \: have \: an \: equation:x + (x + 1) + (x + 2) + (x + 3) = 566 \\ \Leftrightarrow 4x + 6 = 566 \\ \Leftrightarrow 4x = 560 \\ \Leftrightarrow x = 140 \\ \Rightarrow 4 \: consecutive \: numbers:140,141,142,143[/tex]

Answer:

Exact length = 2*sqrt(137)   cm

Approximate length = 23.409  cm

====================================================

Work Shown:

Use the Pythagorean theorem

a^2 + b^2 = c^2

8^2 + 22^2 = c^2

64 + 484 = c^2

548 = c^2

c^2 = 548

c = sqrt(548)

c = sqrt(4*137)

c = sqrt(4)*sqrt(137) ..... use the rule sqrt(x*y) = sqrt(x)*sqrt(y)

c = 2*sqrt(137)  .... this is the exact length

c = 23.4093998214392 ... use your calculator to find the approximate length

c = 23.409

I rounded to three decimal places, but feel free to round however you want. Or be sure to follow any rounding instructions your teacher provides.

Answer: x = (4,0) (-5,0)

Step-by-step explanation: You Have To Use The 5 and the 4 to graph the points and since those were the only number They Stay At (4,0) and (-5,0)

Answer: C the set of all integers, the set of all rational numbers, and the set of all real numbers

Step-by-step explanation: The value of square root of 9 is ±3. This means that there two answers to square root of 9: 3 and -3.

As far as 3 is concerned, it is one of the elements of the natural number set. It is already known that natural numbers are also whole numbers, also integers, also rational numbers, and also real numbers.

As far as -3 is concerned, it is not a natural number since the set of natural numbers does not contain negative numbers. -3 is an integer. Which means that -3 is also a rational number and also a real number.

After identifying the common sets and taking the intersection of both the above classifications, it yields the set of all integers, the set of all rational numbers, and the set of all real numbers

Hopes this helps bro

Answer:

B.The slope is approximately 1.33 and the y-intercept is 2.

Step-by-step explanation:

On the graph we are going based off where the line starts and in this case it starts on the y line and that shows our y-intercept is 2. The line also doesn't have a rate of change that is directly being put onto an intersecting point like (2,2) which would make it a decimal 1.33.

Answer:

B. The slope is approximately 1.33 and the y-intercept is 2.

Step-by-step explanation:

We can eliminate answers C and D because the y-intercept is 2.

The slop is approximately 1.33 because if we go over 1 unit, we must go up approximately 1.33 units to follow the line.

Answer:

[tex]35\ units[/tex]

Step-by-step explanation:

[tex]We\ are\ given\ that,\\Side\ JK=(4x+19)\\Side\ KL=(9x-1)\\Now, By\ observing\ the\ triangle, we\ notice\ that\ \angle K = \angle L = \angle J.\\ Hence,\triangle JKL\ is\ an\ equilateral\ triangle\ as\ all\ its\ angles\ are\ equal.\\Hence,\\Another\ property\ of\ an\ equilateral\ triangle\ is\ its\ sides\ are\ equal\ too.\\Hence,\\Side\ JK= Side\ KL= Side\ JL\\Hence,\\By\ focusing\ only\ over\ the\ Sides\ JK\ and KL,\\(4x+19)=(9x-1)\\Hence,\\By\ solving\ the\ equation,\\4x+19=9x-1\\[/tex]

[tex]19+1=9x-4x\\By\ using\ the\ Symmetric\ Property\ Of\ Equation,\\9x-4x=19+1\\Hence,\\5x=20\\x=4\\Now,\\As\ KL=(9x-1)\\By\ substituting\ x=4\ in\ (9x-1) ,\\9*4-1\\=36-1\\=35[/tex]

Answer:

I believe it is

1) yes

2) no

3) no

4)no

Step-by-step explanation:

It can only be a solution if you put the x in from the table into the x of the equation and the y in from the same ordered pair into the equation for y and if you get 1 for the fist equation it is a solution but you also have to get 7 for the second equation for it to fully be a solution. Also, you can go to desmos and enter the equations and then substitute the x's and y's... you will have to delete the =1 and =7 in order for the website to tell you what it equals.

Answer:

Step-by-step explanation:

178.54-35.65=142.89

then you do 142.89/12.99=11

She bought 11 CDs

Answer:

between 5 and 6

Step-by-step explanation:

You mean the square root of 35? You can get that by pressing the omega symbol at the bottom of the editor. Ω It's the √ the third one on the top row.

Anyway that does nothing to add to your question.

√35 is very nearly √36 which is 6

√35 is between 5 and 6. (Choice 4 down).