A business journal investigation of the performance and timing of corporate acquisitions discovered that in a random sample of 2 comma 6402,640 ​firms, 709709 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 2929​%? Use alphaαequals=0.100.10 to make your decision.

Answer:

Let x=number of girls in the class

Then x+27 =total number of students in the class

So our equation to solve is :

40% of (x+27)=x or

0.40(x+27)=x get rid of parens

0.40x+10.8=x subtract 0.40x from each side

0.40x-0.40x+10.8=x-0.40x collect like terms

Step-by-step explanation:

The input-output tables represent a function that will be table C and table D.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

If the value of the output is single for each distinct value of the input. Then the table represents the function.

In option A, the number of outputs is 2 for a single value of the input that is x = 1. So, it does not represent a function.

In option B, the number of outputs is 2 for a single value of the input that is x = 5. So, it does not represent a function.

In option E, the number of outputs is 2 for a single value of the input that is x = 1. So, it does not represent a function.

The input-output tables represent a function that will be table C and table D.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ5

Answer:

4hdunzkzmfindudjdkzmd

The volume of the composite solid found using the volumes of cuboids is 510 cm³.

What is a cuboid?

A cuboid is a six-sided solid known as a hexahedron in geometry. Quadrilaterals make up its faces. A cuboid is similar to a cube in that a cuboid can become a cube by varying the lengths of the edges or the angles between the faces. Another name for a cuboid is a rectangular prism. Three dimensions, including length, breadth, and height, define a cuboid. A cuboid with integer edges is referred described as being perfect. The base rectangular face multiplied by the height gives a cuboid's volume.

This figure can be considered a composite figure consisting of two cuboids.

The total volume is the sum of the volumes of the larger and the smaller cuboids.

Larger cuboid dimensions

length l = 5cm

width w = 7cm

Height h = 12 cm

Volume V = l * w * h = 5 * 7 * 12 = 420 cm³

Smaller cuboid dimensions

length l = 5cm

width w = 2cm

Height h = 9 cm

Volume v = l * w * h = 5 * 2 * 9 =  90 cm³

The volume of the figure = V + v = 420 + 90 = 510cm³

Therefore the volume of the composite solid found using the volumes of cuboids is 510 cm³.

To learn more about the cuboid, follow the link.

https://brainly.com/question/26403859

#SPJ1

Answer:\(\frac{15}{8}\) or \(2 \frac{7}{8}\)

Step-by-step explanation:

Adding,

\(\frac{1}{2}+\frac{3}{4}+\frac{5}{8} =\frac{4+6+5}{8} =\frac{15}{8}\)\(=2\frac{7}{8}\)

The value of y is 18

Similar triangles have the same corresponding angle measures and proportional side lengths. The angles of the two triangle must be equal and it not necessary they have equal sides.

Therefore the corresponding angles of similar triangles are congruent and the ratio of corresponding sides of similar triangles are equal.

Therefore;

14/21 = 12/y

14y = 21 × 12

14y = 252

divide both sides by 14

y = 252/14

y = 18

Therefore the value of y is 18.

learn more about similar triangles from

https://brainly.com/question/14285697

#SPJ1

The author of the review is disappointed with the meatball sub casserole recipe posted on Recipe Masters, which did not turn out well despite following the recipe.

The author recommends that others should not attempt to make the recipe and believes that Recipe Masters should ensure that their posted recipes are reliable and thoroughly tested. The author also implies that the quality of the recipes on Recipe Masters is not as advertised, which could potentially lead subscribers to lose faith in the service and seek out free recipe sites instead.

Therefore, a suitable summary of the author's point of view would be: The author is dissatisfied with the meatball sub casserole recipe on Recipe Masters, which did not work out well and believes that Recipe Masters should provide reliable, thoroughly tested recipes as advertised.

To know more about Recipe Masters here

https://brainly.com/question/27897496

#SPJ4

Answer:

Answer: 1/4

Step-by-step explanation:

Algebraic Operations

The width of a rectangle is given as W=5x+3 and the length of the rectangle is given as L=20x+12.

It's required to determine the ratio of the width to the length, that is:

\(\displaystyle \frac{W}{L}=\frac{ 5x+3}{20x+12}\)

This fraction can be simplified if we factor the expression in the denominator. The LCF of 20x and 12 is 4, thus:

\(\displaystyle \frac{W}{L}=\frac{ 5x+3}{4(5x+3)}\)

Now note we have the exact same expression up and down, thus simplifying:

\(\displaystyle \frac{W}{L}= \frac{1}{4}\)

Answer: 1/4

Answer:

16 deliveries

Step-by-step explanation:

238 ≤ 10d + 78

160 ≤ 10d

16 ≤ d

Thus, he needs to make at least 16 deliveries to make at least $238 in one day.  Any less than 16 deliveries will cause him to fall short of his goal and any more than 16 deliveries will cause him to exceed his goal.

a) The probability of not matching any of the six winning numbers is the probability that all six numbers chosen by the player are not among the six winning numbers. The probability of choosing a number that is not a winning number is 39/45 since there are 45 total numbers and only 6 are winning numbers. The probability of choosing six non-winning numbers is:

(39/45) x (38/44) x (37/43) x (36/42) x (35/41) x (34/40) = 0.4361

hence, the probability that none of the player's numbers match the six winning numbers is approximately 0.4361.

b) To determine if events E and E2 are independent, we need to check if the probability of both events occurring is equal to the product of their individual probabilities.

The probability of E, the event that the bit string chosen begins with 01, is 1/4. This is because there are four possible bit strings that begin with 01: 0100, 0101, 0110, and 0111, and there are 16 possible bit strings in total (2^4).

The probability of E2, the event that the bit string chosen ends with 10, is also 1/4. This is because there are four possible bit strings that end with 10: 0010, 0110, 1010, and 1110.

The probability of both E and E2 occurring is the probability of choosing a bit string that begins with 010 and ends with 10. There are two such bit strings: 0101 and 0100. Since there are 16 possible bit strings, the probability of both E and E2 occurring is 2/16 = 1/8.

To determine if E and E2 are independent, we need to check if the probability of both events occurring is equal to the product of their individual probabilities. That is, we need to check if:

P(E and E2) = P(E) x P(E2)

Substituting the probabilities we have calculated, we get:

1/8 = (1/4) x (1/4)

Since this equation is true, we can conclude that events E and E2 are independent.

Learn more about probability:

https://brainly.com/question/13032389

#SPJ4

Answer: x= −16

Step-by-step explanation:

Answer:

$66.15

Step-by-step explanation:

(9.95x2)+(6.75x3)+26=66.15

Answer:

The Answer is 66.15 By the person above

A graph may or may not represent a function.

The true statement is: (b) Yes, the graph passes the vertical line test.

The vertical line test is used to determine if a graph represents a function or not.

When a vertical line is drawn through the graph, the line would only intersect with the curve at a point.

This means that:

The graph represents a function.

Hence, option (b) is true

Read more about functions and vertical line tests at:

https://brainly.com/question/17081515

a) The population of the valley in 1990 can be found by setting t=0 in the function:

P(t) = 35t^2 + 105t + 140 + 70

P(0) = 35 * 0^2 + 105 * 0 + 140 + 70

= 210

So, the population of the valley in 1990 is 210 thousands.

b) The population of the valley at the beginning of year 2000 can be found by setting t=10 in the function:

P(t) = 35t^2 + 105t + 140 + 70

P(10) = 35 * 10^2 + 105 * 10 + 140 + 70

= 3500 + 1050 + 210

= 4860

So, the population of the valley at the beginning of year 2000 is 4860 thousands.

c) The average rate of change in the population between 1990 and 2000 can be found by dividing the difference in population by the difference in time:

P(10) - P(0) = 4860 - 210 = 4650

Average rate of change = (P(10) - P(0)) / (10 - 0) = 4650 / 10 = 465

So, the average rate of change in the population between 1990 and 2000 is 465 thousands per year.

d) To find the expected population of the valley in the long term, we need to find the limit of P(t) as t approaches infinity.

Since the function P(t) contains a t^2 term, which grows much faster than the linear term as t increases, the limit of P(t) as t approaches infinity will be infinity.

So, the expected population of the valley in the long term is infinity.

To know more about Functions

https://brainly.com/question/11624077

#SPJ4

Answer:

30.39 and 10.26 pounds.

Step-by-step explanation:

Step 1 of 2: if the variables x (for 41% alloy) and y (for 54% alloy), then

Step 1 of 2: it is possible to make up the system of two equations:

\(\left \{ {{x+y=0.45*40} \atop {0.41x+0.54y=0.45(x+y)}} \right. < = > \ \left \{ {{y=\frac{72}{13} } \atop {x=\frac{162}{13}}} \right.\)

then the mass of the alloy containing 41% of coper is 162/13:0.41≈30.39

the mass of the alloy containing 54% of copper is 72/13:0.54=10.26.

Answer:

456

Step-by-step explanation:

Product means an answer derived from multiplication.  Therefore, if the product is 155952, and one value is 342, then the following equation is true:

342x = 155952, or 342 * x = 155952

Divide 155952 by 342 to get: 456.

Check the work in the equation:

342(456) = 155952

155952 = 155952, which is true, so the answer is 456.

If I helped, please make this answer brainliest! ;)

Answer:

2

Step-by-step explanation:

We already have the zeros, so we can write the cubic polynomial in this general form:

\(y = a(x - x_1)(x - x_2)(x - x_3)\)

Where:

\(x_1 = 5\)

\(x_2 = 5i\)

\(x_3 = -5i\)

So we have that:

\(y = a(x -5)(x - 5i)(x + 5i)\)

\(y = a(x -5)(x^2 + 25)\)

To find the value of the leading coefficient 'a', we can use the point (1, -208) given:

\(-208 = a(1 -5)(1 + 25)\)

\(-208 = a(-4)(26)\)

\(a = -208 / (-104) = 2\)

So the leading coefficient is 2.

Answer:

5

Step-by-step explanation:

2/6=x/15

cross multiply

6x=30

x=5

Answer:

14

Step-by-step explanation:

\(8 \times 12 = 96 \)

\(96 - 22.5 = 73.5\)

\(73.5 \div 5.25 = 14\)

Step-by-step explanation:

Answer is 14 I hope you get it

The answer would be C - "Cheetah B has a higher ratio of miles per minute than Cheetah A because 17 over 8 is less than 56 over 20."

also "get it right please" ?! how rude

Answer:

Hello!

Step-by-step explanation:

To find the area of a triangle, multiply the base by the height, and then divide by 2. The division by 2 comes from the fact that a parallelogram can be divided into 2 triangles. For example, in the diagram to the left, the area of each triangle is equal to one-half the area of the parallelogram.

So,you have to multiply.

Hope this helps.

Saving for a down payment was worth it for Isabel. It reduces the total amount paid for the car by lowering the loan amount, resulting in less interest paid over time.

When evaluating whether saving for a down payment on a car was worth it for Isabel, we need to consider the difference in the total amount paid for the car in two scenarios: with a down payment and without a down payment. Let's analyze the two scenarios to make a judgment.

Scenario 1: With a down payment

In this scenario, Isabel saved up and made a down payment on the car. As a result, her monthly loan payment fits within her budget. By making a down payment, she reduces the principal amount borrowed and, subsequently, the interest charged on the loan.

The benefits of saving for a down payment include:

Lower loan amount: By making a down payment, Isabel reduces the total amount borrowed from the lender.

Reduced interest: With a lower loan amount, the interest charged on the loan is also reduced.

Shorter loan term: A down payment can help Isabel secure a shorter loan term, reducing the overall interest paid over time.

Scenario 2: Without a down payment

In this scenario, Isabel does not make a down payment and finances the entire purchase price of the car. As a result, her monthly loan payment may be higher, as she is borrowing a larger sum and potentially paying more interest over the loan term.

The drawbacks of not saving for a down payment include:

Higher loan amount: Without a down payment, the entire purchase price is financed, leading to a higher loan amount.

Increased interest: With a higher loan amount, more interest may accumulate over the loan term, resulting in a higher total cost of the car.

By comparing the two scenarios, we can assess the impact on the total amount paid for the car. Generally, having a down payment reduces the loan amount, decreases interest charges, and may result in a shorter loan term. This, in turn, can lead to substantial savings in the long run.

To determine the exact difference in the total amount paid for the car in each scenario, we would need specific details such as the purchase price of the car, the interest rate, and the loan term. With these figures, we could calculate the total cost of the car, including interest, in both scenarios and compare the results. Based on this analysis, we can then determine if saving for a down payment was worth it for Isabel.

In conclusion, saving for a down payment on a car can offer financial benefits such as lower loan amounts, reduced interest charges, and potentially shorter loan terms. Considering the potential cost savings and improved financial stability, it is generally advisable for Isabel to save for a down payment, making it worth the effort and consideration.

for such more question on total amount

https://brainly.com/question/25109150

#SPJ11

Question

The down payment makes the monthly loan payment fit into Isabel's budget. Besides this benefit, do you think saving for a down payment on the car was worth it for Isabel? Use each monthly payment with and without a down payment) to find the difference of the total amount paid for the car in each scenario to justify your answer.

The ant is finally at a position -4.6 centimeters on the number line.

To learn more about number line, visit :

https://brainly.com/question/13425491

#SPJ1

Answer:

x = 20

Step-by-step explanation:

These angles are vertical angles.

Vertical angles are congruent!! So we set them equal to one another.

2 + 3x = 62

-2           -2

3x = 60

----    ---

3       3

x = 20

Answer: x = 20

Concept:

Vertical angles: Pairs of opposite angles made by intersecting lines.

Vertical Angle Theorem: If 2 angles are vertical, then they are congruent.

If you cannot understand this, please refer to the attachment below for a graphical explanation.

Solve:

Given information

Angle 1 = (2 + 3x)°

Angle 2 = 62°

Set equation

Angle 1 = Angle 2

2 + 3x = 62

Subtract 2 on both sides

2 + 3x - 2 = 62 - 2

3x = 60

Divide 3 on both sides

3x / 3 = 60 / 3

\(\boxed{x=20}\)

Hope this helps!! :)

Please let me know if you have any questions

For the given question,

The coordinates of the three lines are given with the end points.

Part a: The slope  piece wise rule for defined graph is-

Part b: calculate the three equations-

First find the slope for the three given lines;

slope (blue line);

coordinates - (0, -4) and (1, -1)

m = (-1 + 4)/(-1 - 0)

m = -3

Equation of line;

y + 4 = -3(x -0)

y = -3x - 4

slope (red line);

coordinates - (1, 4) and (5, 8)

m = (8 - 4)/(5 - 1)

m = 4/4

m = 1

Equation of line;

y - 4 = 1(x - 1)

y = x + 3

slope (green line);

coordinates - (5, 8) and (8, 8)

m = (8 - 8)/(8 - 5)

m = 0

Equation of line;

y - 8 = 0(x - 5)

y = 8

Thus, the three equation of line are found.

To know more about the slope of a line, here

https://brainly.com/question/16949303

#SPJ13

Answer:

First one hypotenuse leg

Step-by-step explanation:

Answer: $0.15

Step-by-step explanation:

1.80 divided by 12 = 0.15

Hope that helped :)

Answer:

3/4

Step-by-step explanation:

1/4 : 1/3 = 1/4 x 3/1

= 3/4

Using trigonometric identities, we found that sec Φ = -7/(2√10), sin Φ = 3/7, tan β = √11/5, and sin β = √11/6 for the given values of csc Φ, cot Φ, and sec β.

1. We can start by using the Pythagorean identity to find the values of sin Φ:

\(sin^2\) Φ + \(cos^2\) Φ = 1

Since csc Φ = 1/sin Φ, we can substitute and solve for sin Φ:

1/(7/3) = sin Φ

sin Φ = 3/7

Next, we can use the fact that cot Φ = cos Φ/sin Φ:

cot Φ = cos Φ/(3/7) = - (2√10)/(3)

Simplifying this expression, we get:

cos Φ = - (2√10)/(3) * (3/7) = - 2√10/7

Finally, we can use the fact that sec Φ = 1/cos Φ:

sec Φ = 1/(- 2√10/7) = -7/(2√10)

2. We can use the fact that sec β = 1/cos β to find the value of cos β:

sec β = 6/5

cos β = 5/6

Next, we can use the Pythagorean identity to find the value of sin β:

\(sin^2\) β + \(cos^2\) β = 1

sin β = √(1 - \(cos^2\) β) = √(1 - 25/36) = √(11/36) = √11/6

Finally, we can use the fact that tan β = sin β/cos β:

tan β = (√11/6)/(5/6) = √11/5

To learn more about Pythagorean please click on below link        

https://brainly.com/question/29069676

#SPJ1