Determine the null hypothesis and the alternate hypothesis: ************************** The August 2008 edition of Academy of Management Journal featured an investigation of the performance and timing of corporate acquisitions. The investigation discovered that in a random sample of 2778 firms, 748 announced one or more acquisitions during the year 2000. Does the sample provide sufficient evidence to indicate that the true percentage of all firms that announced one or more acquisitions during the year 2000 is less than 30%

Answer: 125.6 inches cubed.

Step-by-step explanation:

Formula for cylinder volume: Volume=(pi times radius cubed) times height

3.14 x 4(radius)=12.56

12.56 x 10 (height) = 125.6

Hope this helps

Answer:

[tex]\frac{7}{12} = 0.5833[/tex] = 58.33% probability that the outcome is less than 6

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

For the penny there are two outcomes, and for the die there are 6. So 2*6 = 12 total outcomes.

If the penny is tails, there are 5 outcomes which are less than 6. If it is heads, as the value is multiplied by 2, only 2 values of the die(1 or 2) will be below 6 after being multiplied by 2. So 5 + 2 = 7 total outcomes

What is the probability that the outcome is less than 6?

[tex]p = \frac{7}{12} = 0.5833[/tex]

[tex]\frac{7}{12} = 0.5833[/tex] = 58.33% probability that the outcome is less than 6

Answer:15-2x=-45

15-2=13

13=-45

Step-by-step explanation:

I hope that helps you!

Answer:

x = 30

Step-by-step explanation:

15 - 2x = -45

+ 2x to both sides

15 = 2x - 45

+ 45 to both sides

60 = 2x

divide both sides by two

x = 30

Answer:

$919.98

Step-by-step explanation:

To solve using a financial calculator do

N=8

I/Y=10

PMT=85

FV=1000

CMPT PV get 919.98

To do by hand find the present value of the interst payments

85*(1-(1/1.1)^8)

which is 453.4687

Find the present value of the final ballon payment

1000*(1/1.1)^8

which is 466.507

take the sum

466.507+453.4678= 919.98

The probability for the given event is P = 0.75

The probability for flipping both sides of the coin is exactly the same one because we have an even coin.

The probability of getting the first flip heads up is just 0.5, as we can expect.

The probability that exactly 5 flips come heads up is:

P = C(10, 5)*(0.5)^10 = (0.5)^10*(10*9*8*7*6)/(5*4*3*2*1) = 0.25

Then, adding these two, the total probability is:

p = 0.5 + 0.25 = 0.75

If you want to learn more about probability, you can read:

https://brainly.com/question/251701

Answer:

10

Step-by-step explanation:

7*6=3+4+6+9+a+10

42=32+a

42-32=a

a=10

Step-by-step explanation:

Mean =7

⇒(3+4+6+9+a+10)/6=7

⇒32+x=42

⇒x=10

Answer: 10.98 meters

Step-by-step explanation:

Answer: ( - 1, - 1) with center (-1, - 4). (x + 1) 2 + (y + 4) 2 = 9

Step-by-step explanation: I hope this is right :)

Answer:

Let's solve for h.

y=a3x−h+k

Step 1: Flip the equation.

a3x−h+k=y

Step 2: Add -a^3x to both sides.

a3x−h+k+−a3x=y+−a3x

−h+k=−a3x+y

Step 3: Add -k to both sides.

−h+k+−k=−a3x+y+−k

−h=−a3x−k+y

Step 4: Divide both sides by -1.

−h

−1

=

−a3x−k+y

−1

h=a3x+k−y

Answer:

h=a3x+k−y

Let's solve for k.

y=a3x−h+k

Step 1: Flip the equation.

a3x−h+k=y

Step 2: Add -a^3x to both sides.

a3x−h+k+−a3x=y+−a3x

−h+k=−a3x+y

Step 3: Add h to both sides.

−h+k+h=−a3x+y+h

k=−a^3x+h+y

Answer:

k=−a^3x+h+y

Step-by-step explanation:

The required values are h = 1 and k = 4 the given cube root function.

The cube root function is a function that takes the cube root of its input. The formula for the cube root function is:

f(x) = ∛x

The graph is given in the question, as shown.

To find the symmetric center of the cube root function, we need to find the point on the function that is equidistant from the two opposite sides of the function graph.

Since the given cube root function is an odd function, it is symmetric about the point (1, 4).

So, the symmetric center of the cube root function is the point (1, 4).

Thus, h = 1 and k = 4

Therefore, the required values are h = 1 and k = 4 the given cube root function.

Learn more about the cube root function here:

https://brainly.com/question/29082141

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The complete question would be as:

Answer:

C: Employees are assigned to one of four pay scales. Randomly select a pay scale and survey every employee in that pay scale

Step-by-step explanation:

Looking at the given options, the one that will likely result in undercoverage will be option C. This is because even after assigning employees to any of the 4 payscales, when randomly selecting for survey, he picked only one pay scale and surveyed every on there. Since he didn't include at least one person in the other pay scales, he will not have covered every pay scale which he will need to make a conclusion on job satisfaction experienced by his employees.

Answer:

a) Domain: x≥0

b) Range:  y≤-2

c) x-intercepts: None

d) y-intercepts: (0,-2)

e) f(4)= -4

Step-by-step explanation:

If this helps please mark as brainliest

(a) domain is [0,∞)

(b)  Range is [-2,-∞)

(c) X intercept is none

(D) Y intercept is (0,-2)

(E) f(4)=-4

Given :

Use the given graph to determine the domain , range etc.

Explanation :

Domain is the set of x values on the graph

The graph starts at x=0 and goes on .

So domain is [0,∞)

Range is the set of y values on the graph

The graph starts at y=-2 and it goes down

Range is [-2,-∞)

X intercepts are the points where the graph crosses or touches x axis

The graph does not cross the x axis

X intercept is none

Y intercepts are the points where the graph crosses or touches  y axis

The graph touches y axis at -2

Y intercept is (0,-2)

To find out f(4) we look at the y value when x=4

f(4)=-4

Learn more :  brainly.com/question/23527715

Answer:

#4: 130/60, simplified is 13/6 (divide numerator and denominator by 10)

#5: 110/130, simplified is 11/13 (divide numerator and denominator by 10)

#6: 5/12

#7: 4/12, simplified is 1/3 (divide numerator and denominator by 4)

#8: 12/4, simplified is 3, or 3/1 (divide numerator and denominator by 4)

Step-by-step explanation:

#4: Part 1 is 60 miles, and the whole trip is 60 + 20 + 50 = 130 miles

So while #1 was 60 over 130 for "60 to 130", now we'll put the 130 on top of the 60 for "130 to 60" as a spoken ratio

#5: I think they mean add part 1 to part 3, then compare to the whole.

so 60 + 50 = 110, and your answer is 110/130

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

Punch: 3 pints Hawaiian punch, 4 pints of orange juice, 5 pints of ginger ale is the recipe. When you pour that all together, you have 3 + 4 + 5 pints of mixed punch as a total, or 12 pints.

#6: 5 pints of ginger ale to 12 pints of punch: 5/12

#7: 4 pints of orange juice to 12 pints of punch: 4/12

#8 12 pints of the whole drink to 4 pints of orange juice: 12/4

Answer:

The volume of the cube is of 729 cubic meters.

Step-by-step explanation:

Volume of a cube:

The volume of a cube with edge length a is given by:

[tex]V = a^3[/tex]

In this question:

The edge length is of 9 meters, so [tex]a = 9[/tex]. The volume, in cubic meters, is:

[tex]V = a^3 = 9^3 = 729[/tex]

The volume of the cube is of 729 cubic meters.

Answer:

y= 18.582

⨝⨝⨝⨝⨝⨝⨝⨝⨝

Answer:

120 cm²

Step-by-step explanation:

Applying,

A = Ph................... Equation 1

Where A = Literal Area of the triangular prism, P = Perimeter of the base, h = height.

But,

P = a+b+c............... Equation 2

Where a, b, c represent the three sides of the triangular base

Therefore,

A = h(a+b+c)............... Equation 3

From the question,

Given: h = 8 cm, a = 4 cm, b = 5 cm, c = 6 cm

Substitute these values into equation 3

A = 8(4+5+6)

A = 8(15)

A = 120 cm²

Answer:

13) B

14) A

Step-by-step explanation:

13) Knowing that the interior angles of a triangle add up to 180, we can see that angle A is 53°. To find length c, we can use either sine or cosine. Let's use sine:

sin 37° = b/c = 15.9/c ---> c = 15.9/sin 37 = 26.4

To solve for side a, use cosine:

cos 37° = a/26.4 ---> a = 26.4cos37 = 21.1

14) Again, knowing that the interior angles of a triangle add up to 180, we know that angle B is 52°. This time,let's use cosine (although you may choose sine if you want):

cos 38° = b/16 ---> b = 16cos38 = 12.6

To find side a, use sine:

sin 38° = a/16 ---> a = 16sin38 = 9.9

Answer:

3 bottles

Step-by-step explanation:

1 bottle -- $1.20

x bottles -- 3.60 (total cost)

Therefore, number of bottles -- (3.60/1.20) = 3

She bought 3 bottles.

Thenks and maek me brainliest :))

Answer:

[m] slope = -2

[b] y-intercept = -1 ; (0, -1)

[y = mx + b] slope-intercept = -2x – 1

Step-by-step explanation:

Given the algebraic equation 6x + 3y = -3 currently in standard form:

Ax + By = C →

By = C – Ax →

By = -Ax + C →

y = -Ax / B + C / B →

y = (-A / B)x + (C / B) →

y = mx + b →

m = -A / B. b = C / B.

6x + 3y = -3

↓ ↓ ↓

A = 6. B = 3. C = -3.

[Substitute]

m = -A / B. b = C / B

m = -(6) / (3). b = (-3) / (3)

↓ ↓

m = -2. b = -1.

↓. ↓

Slope = -2. y-intercept = -1.

_______________________

Slope is ∆y/∆x [change in y over the change in x] = y2 – y1 / x2 – x1.

The y-intercept is the point where x is 0.

The easiest way to determine this is to substitute 0 in for x in an equation and solve for y.

This means that the y intercept in coordinate form is (0, b).

Answer: 6

Step-by-step explanation:

Since we are informed that two pipes with lengths of 42 inches and 54 inches respectively are to be cut in pieces of equal lengths and we want to know the number of pieces that they can be cut into.

This question simply means that we need to find the factors of both 42 and 54 and choose the highest.

42 = 1, 2, 3, 6, 7, 14, 21, and 42.

54 = 1, 2, 3, 6, 9, 18, 27, and 54.

Therefore, the highest common factor is 6. Therefore, the greatest possible length will be 6 inches

Answer:

killiliters

Step-by-step explanation: r u asking wah kl stads for

Answer: 224

Step-by-step explanation:

The total degrees of a 7-sided shape is 900. You can find that out using the equation (n-2) times 180. Where n is the number of sides. If you add up all the interior angles they equal 676. Then just subtract 676 from 900. 900-676= 224 degrees. That is the missing interior angle.

Answer:

P=34ft

Step-by-step explanation:

Solution

P=2(l+w)=2·(12+5)=34ft

Answer:

C. Reflection over x- axis, down 6 right 3

Step-by-step explanation:

Answer:

(0,9),(9,2)

Step-by-step explanation:

Answer:

B. 61.5

Step-by-step explanation:

I calculated it logically

Answer:

1) [tex]2^{\frac{5}{3} }[/tex] = [tex]2^{\frac{5}{3} (3) }[/tex] = [tex]2^{5}[/tex]

2) [tex]2^{\frac{5}{3} }[/tex] = [tex]\sqrt[3]{2^{5} }[/tex] = [tex]\sqrt[3]{32 }[/tex]

3) [tex]2^{\frac{5}{3} }[/tex] = 3.17...

1^2 = 1

2^2 = 4

[tex]2^{\frac{5}{3} }[/tex]  is between 1 and 2 to the power of 2

Answer:

x = -5

Step-by-step explanation:

The ( x , y ) values = ( -5 , 20 )

attached below is the schematic representation of the solution

following the Given path : starting from ( 0,0 ) following the arrow directions, at the end of your walk the value of x = -5

Answer:

140°

Step-by-step explanation:

The value of supplement is 40 and X. We know that the sum of the sumplementary angles is 180. Therefore ,

=> x + 40° = 180°

=> x = 180° - 40°

=> x = 140°

Answer:

C

Step-by-step explanation:

There is a common ratio between consecutive terms

r = 24 ÷ 16 = 36 ÷ 24 = 54 ÷ 36 = 1.5 = [tex]\frac{3}{2}[/tex]

This indicates the sequence is geometric with nth term ( explicit formula )

f(n) = a₁[tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 16 and r = [tex]\frac{3}{2}[/tex] , then

f(n) = 16 [tex](\frac{3}{2}) ^{n-1}[/tex] → C