The bar graph shows a company’s income and expenses over the last 5 years. Which statement is supported by the information in the graph?

A) The income in Year 5 was twice the income in Year 1
B) The combined expenses in Years 3 and 4 were more than the combined income in Years 3 and 4
C) Expenses have increased each year over the last 5 years
D) The combined income in Years 1, 2, and 3 was equal to the combined expenses in Years 1, 2, and 3

Answer: This relation is not a function

Step-by-step explanation:

To find out if a relation is a function, we need to use the vertical line test, which means each input value only has one output value. This graph does not pass that vertical line test.

Answer:

I believe it is a function

Step-by-step explanation:

Answer:

m=2

Step-by-step explanation:

I hope this was helpful.

Answer:

(a) [tex]Total= 9000[/tex]

(b) [tex]Total = 4500[/tex]

(c) [tex]Total = 4536[/tex]

(d) [tex]Total = 2240[/tex]

(e) [tex]Pr = 0.5040[/tex] --- Probability of distinct digits

[tex]Pr = 0.2489[/tex] --- Probability of odd distinct digits

Step-by-step explanation:

Solving (a): Integers from 1000 to 9999

To do this, we simply add 1 to the range.

i.e.

[tex]Total= Range +1[/tex]

Range is the difference between the given interval.

[tex]Total= 9999 - 1000 +1[/tex]

[tex]Total= 9000[/tex]

Solving (b): Odd integers

This implies that the last digit must be any of 1, 3, 5, 7 and 9 (i.e. 5 digits)

The first digit can not be 0 (i.e any of the remaining 9 digits)

There is no restriction to other digits

Numbers from 1000 to 9999 are 4 digits, so the possible selection are:

[tex]First= 9\\Second = 10\\Third = 10\\Last = 5[/tex]

Total selection is:

[tex]Total = 9 * 10 * 10 * 5[/tex]

[tex]Total = 4500[/tex]

Solving (c): Distinct digits

This implies that all 4 digits are different and the first can not be 0.

So, we have:  

[tex]First = 9[/tex] i.e. (1 - 9)

[tex]Second = 9[/tex] i.e. (0 - 9) minus the first digit

[tex]Third = 8[/tex]

[tex]Fourth = 7[/tex]

Total selection is:

[tex]Total = 9*9*8*7[/tex]

[tex]Total = 4536[/tex]

Solving (d): Odd digits that are distinct

This implies that the last digit must be any of 1, 3, 5, 7 and 9 (i.e. 5 digits)

The first digit can not be 0 and must be different from the last (i.e 8 digits)

The second digit must be different from the first and the last(i.e. 8 digits)

The third digit must be different from the three other digits (i.e. 7 digits)

So,

[tex]Total = 5 * 8 * 8 * 7[/tex]

[tex]Total = 2240[/tex]

Solving (e): Probability that a number is distinct

In (a), total possible digits is 9000

In (c), total distints are 4536

So, the probability is:

[tex]Pr = \frac{4536}{9000}[/tex]

[tex]Pr = 0.5040[/tex]

In (d), total odd distinct digits are 2240

So, the probability is:

[tex]Pr = \frac{2240}{9000}[/tex]

[tex]Pr = 0.2489[/tex]

Answer:

Kathy bought 4 and Bob bought 11.

Step-by-step explanation:

since we already know he bought 3 more than her we can subtract 3 from 15 which is 12, since he bought twice more than her we can divide 12 by 3 which is 4. Multiply by 2 and you get 8, and when you add it to the subtracted 3 you get 11. So she bought 4 and he bought 11

Answer:

9

Step-by-step explanation:

PLEASE MARK AS BRAINLIEST

Answer:

I think it's 9.

Step-by-step explanation:

Answer:

answer b

Step-by-step explanation:

I definitely did it;)

Answer:

B

Step-by-step explanation:

In a 180° rotation, the signs for both the x and y values are changed.

Answer:

113.14cm^3

36π cm^3

Step-by-step explanation:

the composite solid is made up of a cylinder and a hemisphere

volume of solid = volume of cylinder + volume of hemisphere

volume of a cylinder = nr^2h

n = 22/7

(22/7) x (3^2) x 2 = 56.57 cm^3

or in terms of pi = 18π

volume of a hemisphere = (2/3) x (n) x (r^3)

n = 22/7

r = radius

(2/3) x (22/7) x (3^3) = 56.57 cm^3

or in terms of pi = 18π

volume of solid = 56.57 cm^3  x 2 = 113.14cm^3

or 18π x 2 = 36π cm^3

56.57

Answer:

40% probability

Step-by-step explanation:

First, you need to look at the sample space or number of outcomes:

The sample space, or number of outcomes, is 5

If you randomly select one marble and then select another marble after replacing it, you are taking out 2/5 of the marbles in the jar.

1/5 2/5 3/5 4/5 5/5

2/5 can be converted into a percentage by turning it into a decimal:

.4 can be converted into a percentage

This leaves you with the probability being 40%

Answer: it’s 30%

Step-by-step explanation:

Answer:

Option 3rd is correct

Step-by-step explanation:

(1,-6),(2,-4),(2,-2),(4,-2),(6,0)

Answer:

Type 2 error

Step-by-step explanation:

H0 : μ = 261

H0 : μ > 261

By failing to reject H0 ; when the it is false. This means accepting null hypothesis when it is actually FALSE. Then a type 2 error has been committed.

This is different from a type 1 error whereby the null hypothesis is rejected when it is actually TRUE.

Hence, by finding no evidence to reject the null hypothesis during statistical testing when the actual windspeed of an F5 tornado during statistical testing is actually greater than 261 mph.

Answer:

2.046

Step-by-step explanation:

Answer:

267,500

Step-by-step explanation:

10,000 × 3 = 30,000

30,000 + 72,000 + 47,500 + 65,000 = 214,500

482,000 - 214,500 =267,500

The stadium's profit margin last month was 267,500 dollars.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given that stadium has fixed expenses of $10,000 per event.

Since it put on three major events and spent $72,000, $47the,500, and $65 this event raising for them last month respectively

Thus,

10,000 × 3 = 30,000

Total = 30,000 + 72,000 + 47,500 + 65,000 = 214,500

According to the accountant, total amount these event earned ;

$482,000 in revenue.

So,

482,000 - 214,500 =267,500

Hence, the stadium's profit margin last month was 267,500 dollars.

To learn more about the unitary method, please visit the link given below;

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Answer:

The vector

V

=

(

4

,

-

3

)

is at an angle of

−

36.67

°

to the positive

x

-axis.

Explanation:

I'll presume you're looking for the angle which the vector makes with the

x

-axis.

We use our old friend

tan

for this.

tan

θ

=

y

x

⇒

θ

=

tan

−

1

(

y

x

)

⇒

θ

=

tan

−

1

(

−

3

4

)

=

tan

−

1

(

−

0.75

)

⇒

θ

=

−

0.64

⇒

θ

≈

−

36.67

°

Because

tan

−

1

can only return angles between -90° and +90° (that is, in

Q

IV

or

Q

I

), we then check which quadrant the point

(

4

,

-

3

)

is in, to confirm whether we can keep this answer or if we need to add 180°.

(

4

,

-

3

)

is in quadrant 4, and so the value given by

tan

−

1

is fine as it is.

The vector

V

=

(

4

,

-

3

)

is at an angle of

−

36.67

°

to the positive

x

-axis.

Step-by-step explanation:

[tex] \frac{1367}{60 } = 22.783[/tex]

Answer:-95°

Step-by-step explanation: a p e x

The negative angle that is equivalent to 265° would be equal to negative 85 degrees.

The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.

The negative angle is equivalent to 265°.

We know that the sum of angles is always 180

So,

we will subtract the angle 180 from the angle of 265 degrees.

265 - 180

= 85°

Learn more about the triangles;

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Answer:

Hey there!

I belive the answer is 17952 ft

which if you multiply 3.4 miles x 5280 is equal to 17952 ft.

Hope this can help! Please correct me if im wrong!

Answer:

Muhammad Ali was one of the greatest boxers in history, the first fighter to win the world heavyweight championship on three separate occasions. In addition, he was known for his social message of black pride and black resistance to white domination and for refusing induction into the U.S. Army during the Vietnam War.His quickness and mobility was a His quickness and mobility was a revelation in the 1960s; big men simply did not move like that. His amazing speed and reflexes allowed him to introduce a level of artistry and elegance to heavyweight boxing which changed the public's perception of the sport and pioneered new tactics and techniques.revelation in the 1960s; big men simply did not move like that. His amazing speed and reflexes allowed him to introduce a level of artistry and elegance to heavyweight boxing which changed the public's perception of the sport and pioneered new tactics and techniques.

Answer:

area = length x width

96/8= 12 = something i have no idea what is breadth, but it doesnt matter

perimeter = 2(length) + 2(width)

2(12) + 2(8)=40cm

hope that answers your question

ps. fix your typing...skill, or word vocabulary thing...

Step-by-step explanation:

Answer:

40 cm

Step-by-step explanation:

Data:

Area (a): 96 cm

Width (b): 8 cm

a = b•h

96 = 8•h

96/8 = h

12 = h

The perimeter is the sum of all the sides, so.

Perimeter:

12+12+8+8 = 40

Answer: its 40.0 m²

Step-by-step explanation:

A=wl=4·10=40.0 m²

your welcome

Answer:

the answer is D

Step-by-step explanation:

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The cycle time of 1.5 minutes tells us that each workstation has 1.5 minutes to complete its assigned tasks. We assign tasks as follows.

Starting from a list of eligible tasks—those with no unworked preceding tasks—the selection criterion says we must choose the one with the longest task time. We continue in this way until the time remaining on the workstation is less than the time required for the longest eligible task. At that point, we open a new workstation and repeat the process.

__

Comments on the solution

The numbers highlighted in red are the idle time for the workstation. Ideally, they are all positive, so as to be able to absorb any delays in executing the tasks. Here, we find that workstation 3 has no idle time, so any delay there will be a delay in required production of pumps.

The flow we have arranged is from Workstation 1 → Workstation 2 → Workstation 3. If flow back and forth between workstations were allowed, then we could assign task H to workstation 2 and tasks D and G to workstation 3 to create an idle time of 0.1 minutes at each workstation. Such an assignment would not strictly adhere to the "longest task first" criterion.

Answer:

I think it's a

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

13x + 4 = 180 - 98

x = 6

Answer:

100 ml

Step-by-step explanation:

Answer:

70 degrees

Step-by-step explanation:

Angle BZA = Angle BZC = 20 degrees

Reason : These two angles are Vertically opposite angles.

Angle BZA + Angle BZC = 90

20 + Angle BZC = 90

Angle BZC = 90 - 20

Angle BZC = 70 degrees

Answer:

D) y= x^2 +3

Step-by-step explanation:

Answer:

$250

Step-by-step explanation:

The formula for simple interest is I = PRT, where I= interest earned or paid, P = principal deposited or borrowed, R = interest rate as a decimal, and T = time in years.

I = PRT

I = (1000)(0.05)(5)

I = 250

Answer:

Step-by-step explanation:

Formula

SA = 2*L*w + 2*L*h + 2*h*w

Givens

L =  15

w = 5

h = 3

Solution

SA = 2*15*5 + 2*15*3 + 2*5*3

SA = 150 + 90 + 30

SA = 270 cm^2