Find the area of the circle. Round your answer to the nearest hundredth. 3 in

Answer:

The calculated χ² =  17.0281    falls in the critical region χ² ≥  9.49  so we reject the null hypothesis that  the quality of management and the reputation of the company are independent and conclude quality of management and the reputation of the company are dependent

The p-value is 0 .001909. The result is significant at p < 0.05

Part b:

40 > 8.5

35> 7.5

25> 4

Step-by-step explanation:

1) Let the null and alternative hypothesis as

H0: the quality of management and the reputation of the company are independent

against the claim

Ha: the quality of management and the reputation of the company are dependent

2) The significance level alpha is set at 0.05

3) The test statistic under H0 is

χ²= ∑ (o - e)²/ e where O is the observed and e is the expected frequency

which has an approximate chi square distribution with ( 3-1) (3-1)=  4 d.f

4) Computations:

Under H0 ,

Observed       Expected E              χ²= ∑(O-e)²/e

40                      35.00                          0.71

25                      24.50                         0.01

5                         10.50                         2.88  

35                      40.00                         0.62

35                      28.0                          1.75

10                       12.00                           0.33  

25                      25.00                             0.00

10                        17.50                              3.21

15                       7.50                                 7.50  

∑                                                               17.0281

Column Totals 100 70 30   200  (Grand Total)

5) The critical region is χ² ≥ χ² (0.05)2 = 9.49

6) Conclusion:

The calculated χ² =  17.0281    falls in the critical region χ² ≥  9.49  so we reject the null hypothesis that  the quality of management and the reputation of the company are independent and conclude quality of management and the reputation of the company are dependent.

7) The p-value is 0 .001909. The result is significant at p < 0.05

The p- values tells that the variables are dependent.

Part b:

If we take the excellent row total = 70 and compare it with the excellent column total= 100

If we take the good row total = 70 and compare it with the good column total= 80

If we take the fair row total = 50 and compare it with the fair column total= 30

The two attributes are said to be associated if

Thus we see that ( where (A)(B) are row and columns totals and AB are the cell contents)

AB> (A)(B)/N  

40 > 1700/200

40 > 8.5

35> 1500/200

35> 7.5

25> 800/200

25> 4

and so on.

Hence they are positively associated

Answer:

A /  D /  E

Step-by-step explanation:

f (1) = 1

f(2) = 5

f(3) = 9

Answer:

The interest rate and the number of compounding periods best describe the factors that determine the amount of interest because they encompass the ideas of time and yield.

Step-by-step explanation:

Hope this helps!!!

Answer:

A:

STR= -

TSAL= +

INC=+

SGL=-

B:

231.89 - .50 - .02 + .29 -.88

B2:

STR=Y

TSAL=N

INC=Y

SGL=Y

C:

234.89

D:

240.69

Step-by-step explanation:

Answer:

this is your answer as it lies in a same ratio..

Answer:

5) x = 25

6) x = 48

Step-by-step explanation:

5)

65 + x = 90

65 - 65 + x = 90 - 65

x = 25

--------------------------------------

6)

A complementary angle is 90 degrees.

42 + x = 90

42 - 42 + x = 90 - 42

x = 48

Answer:

51

Step-by-step explanation:

Use an online calculator

Answer:

"2.82" seems to be the correct solution.

Step-by-step explanation:

As we know,

A bag (Bag A) contains,

Red balls = 3

Blue ball = 1

A second bag (Bag B) contains,

Red balls = 1

Blue ball = 1

Now,

⇒ P(Bag A, red ball) = [tex]P(A)\times P(r)\times P(r)[/tex]

On substituting the values, we get

⇒                                = [tex]\frac{1}{2}\times \frac{3}{4}\times \frac{2}{3}[/tex]

⇒                                = [tex]\frac{1}{4}[/tex]

Similarly,

Probability of second bag will be:

⇒  P(Bag B) = [tex]\frac{1}{2}[/tex]

hence,

In the first bag (Bag A), the expected number of red balls will be:

⇒  [tex]E(n)=\Sigma P(n)\times n[/tex]

On substituting the values, we get

⇒           [tex]=3 (\frac{1}{4})+2(\frac{1}{8} )+4(\frac{1}{24} )+3(\frac{1}{12} )+3(\frac{4}{20} )+4(\frac{1}{20} )+2(\frac{3}{20} )+\frac{2}{20}[/tex]

⇒           [tex]= \frac{169}{60}[/tex]

⇒           [tex]=2.82[/tex]

Answer:

Rule: dilation about the origin by a scale factor of 2

Step-by-step explanation:

Given

See attachment for QRST and Q'R'S'T

Required

The dilation rule

First, we calculate the scale factor (k)

From the attachment, we have:

[tex]QR = 4[/tex]

[tex]Q'R' = 8[/tex]

k, is then calculated as:

[tex]k = \frac{Q'R'}{QR}[/tex]

[tex]k = \frac{8}{4}[/tex]

[tex]k =2[/tex]

Hence, QRST is dilated by a factor of 2

Answer:In my opinion 10 is the answer

hope it helps you

Answer:

x=70

Step-by-step explanation:

[tex]2x + 1 = 141 \\ 2x = 140 \\ x = 70[/tex]

Answer:

x=70

Step-by-step explanation:

I hope i was right have a good day!!

Answer:

i don't know

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

the total surface area of a solid is the sum of all faces both the bottom (base) and the top

Answer:

Step-by-step explanation:

If you are talking about a die with 6 faces, then 16 isn't possible. 12 is the highest possible number.

If you are talking about some other kind of die, you have to specify it.

I'm going to assume you made a mistake and meant 6.

There are 5 ways to get six

3 - 3

4 - 2

2 - 4

5 - 1

1  - 5

There are  36 ways of throwing 2 dice.

So the probability = 5/36 = 0.1389

If you really did mean 16 then the probability = 0

Answer:

Step-by-step explanation: A

Answer:

A = 2

B= 2

C= -6

Step-by-step explanation:

1.  2x³ - 8x² -24x  -Factor

2. 2x (x² - 4x - 12) - Factor

3. 2x (x - 6) (x + 2)

   ax (x + b) (x + c)  

Answer:

26

Step-by-step explanation:

a complementary angle measures 90 degrees. minus the 64 would be 26

Answer:

The investment will generate $ 60 in interest, with which the new balance will be $ 1060.

Step-by-step explanation:

To determine how much interest would $ 1,000 earn in one year at a rate of 6%, compounded annually, and what would be the new balance, the following calculations must be performed:

1000 x (1 + 0.06 / 1) ^ 1x1 = X

1000 x 1.06 ^ 1 = X

1000 x 1.06 = X

1060 = X

Therefore, the investment will generate $ 60 in interest, with which the new balance will be $ 1060.

Answer:

volume of box(v)=l×b×h

=1×6×4

=24ft^3

so it required 24volume sand to fill the box

Answer:

False

Step-by-step explanation:

The origin is at 0 on the x-axis, and 0 on the y-axis. Hence, (0,0) lies on both the axis.

hope this helps and is right. p.s. i really need brainliest :)

if my answer is wrong then i am incredibly sorry!

The statement "The origin is a point anywhere along the x-axis" is False.

Origin is referred to as the first point or the starting point from which we begin our calculations or measurements in mathematics, particularly in the subject of coordinate geometry. The 0 on a ruler is the point at which we begin taking measurements; as a result, it is referred regarded as the scale's origin.

As, The intersection of the x and y axes in a coordinate plane is where the origin is located.

Coordinates can be used to name any point on the coordinate plane.

The coordinates are where the origin is ( 0, 0 ).

So, the x- coordinate is 0 and y- coordinates is 0.

Hence, the given statement is False.

Learn more about Origin here:

https://brainly.com/question/30135643

#SPJ2

Answer:

[tex](7 \times 2 + 8) - ( {x}^{2} - 2) \\ (14 + 8) - ( {x}^{2} - 2) \\ 14 + 8 - {x}^{2} + 2 \\ 22 + {x}^{2} + 2 \\ 24 + {x}^{2} [/tex]

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

Answer:

45 sweets.

Step-by-step explanation:

6:2:1

To solve how many Jim and Dan has I did 6 x n and 1 x n until the difference of the two numbers equaled 25.

6 x 5 = 30

1 x 5 = 5

30 - 5 = 25.

So, Jim as 30 candy and Dan has 1. How much does David have?

Just do the same thing but with 2 x n:

2 x 5 = 10.

Now add them together:

30 + 10 + 5 = 45.

Therefore, 45 sweets!

Answer:

I would use the sale price.

Step-by-step explanation:

20% of 150 is 30. So, you get $30 off if you use the sale price rather then the $15 coupon.

Answer:

98 degrees

Step-by-step explanation:

HJ = (5x - 7)

Because it's a full circle:

61 + 34 + (5x - 7) + (9x - 22) = 360

95 + (14x - 29) = 360

14x = 360 - 95 + 29 = 294

x = 21

HJ = 5x - 7 = 5 * 21 - 7 = 105 - 7 = 98

Answer:

212 m²

Step-by-step explanation:

4 x 4 x 5 = 80

6+6+50+30+40

Answer:

false.........

Step-by-step explanation:

......