If the data below are represented by a comparative bar graph the bar representing, which of these would be the shortest?

Answer:

2

Step-by-step explanation:

The common difference is the difference between two consecutive terms in an arithmetic progression

The number 2/5 is both a ratio and a fraction.

The number 2/5 is both a ratio and a fraction. Fractions are meant to signify the numerator and denominator in an expression. in the above expression, we have the denominator as 5 and the numerator as 2.

The expression is also a ratio because it indicates the quantitative relationship between the figures.

Learn more about ratios and fractions here:

https://brainly.com/question/2328454

#SPJ1

Answer:

False.

Step-by-step explanation:

In this equation the first part is correct 2/5 = 0.4 but when you divide 1 by 4 you get 0.25 which is not equal to 0.5, like this:

2 / 5 = 0.4

1/4 = 0.25

But that would mean the equation would look more like this:

0.4 + 0.25 = 0.4 + 0.5

or

0.65 = 0.9

So this equation is false.

Hope this helps you!!

Answer:

7. -21-15g

8. x+3y+7

Step-by-step explanation:

use multiplication for number 7

number 8 is just rearranging the numbers

number 9 is confusing since i don't know if it's a point or another symbol

135 as a product of its prime factors is written as  3 × 3 x 3 x 5

The prime factors are those prime digits that can divide a particular digit evenly and without leaving any remainder. To put it differently, these are the main digits that, when multiplied with one another, result in the initial number.

In mathematics and number theory, prime factors hold significant value as they enhance comprehension of number properties and interconnections. In addition, they are utilized in a range of mathematical calculations and algorithms.

From the information given, we have the value as;

135

The prime factors are  3 × 3 x 3 x 5

Learn more about prime factors at: https://brainly.com/question/1081523

#SPJ1

Answer:

64x^3 + 996x^2 + 48x + 8

Step-by-step explanation:

Answer:

12x+6

Step-by-step explanation:

\((4x+2)3\)

Use the distributive property to multiply (4x+2) by 3:-

\(12x+6\)

Answer:

∠ AEB = 114°

Step-by-step explanation:

the chord- chord angle AEB is half the sum of the measures of the arcs intercepted by the angle and its vertical angle , that is

∠ AEB = \(\frac{1}{2}\) (AB + CD) = \(\frac{1}{2}\) (140 + 88)° = \(\frac{1}{2}\) × 228° = 114°

Answer:

16.16

Step-by-step explanation:

10^2 + b^2 = 19^2

100 + b^2 = 361

b^2 = 261

b = 16.16

A. The displacement is the change in position, which is given by the change in the height, so:

i. [1,2] = -5.46 m/s

ii. [1,1.1) = -1.39 m/s

iii. [1,1.01) = -0.138 m/s

iv. [1,1.001) = -0.0138 m/s

(a) To find the average velocity over a time interval, we need to calculate the displacement during that time interval and divide it by the length of the interval. The displacement is the change in position, which is given by the change in the height, so:

i. [1,2]: Δs = y(2) - y(1) = [20(2) - 1.87(2)²] - [20(1) - 1.87(1)²] ≈ -5.46

Average velocity = Δs / Δt = -5.46 / (2 - 1) = -5.46 m/s

ii. [1,1.1): Δs = y(1.1) - y(1) = [20(1.1) - 1.87(1.1)²] - [20(1) - 1.87(1)²] ≈ -1.39

Average velocity = Δs / Δt = -1.39 / (1.1 - 1) = -1.39 m/s

iii. [1,1.01): Δs = y(1.01) - y(1) = [20(1.01) - 1.87(1.01)²] - [20(1) - 1.87(1)²] ≈ -0.138

Average velocity = Δs / Δt = -0.138 / (1.01 - 1) = -0.138 m/s

iv. [1,1.001): Δs = y(1.001) - y(1) = [20(1.001) - 1.87(1.001)²] - [20(1) - 1.87(1)²] ≈ -0.0138

Average velocity = Δs / Δt = -0.0138 / (1.001 - 1) = -0.0138 m/s

(b) The instantaneous velocity at t=1 is given by the derivative of the height function with respect to time, which is:

dy/dt = 20 - 3.74t

So the instantaneous velocity at t=1 is:

dy/dt(1) = 20 - 3.74(1) = 16.26 m/s (approximately)

learn more about velocity: https://brainly.com/question/25749514

#SPJ1

The transformation of f(x) to g(x) is :

From the question, we have the following parameters that can be used in our computation:

The functions f(x) and g(x)

Where, we have

f(x) = x

g(x) = 1/9x - 2

The graph of the functions f(x) and g(x) are added as an attachment

And we have the transformations to be:

Read more about transformation at

brainly.com/question/27224272

#SPJ1

Answer:

a. Probability density function for the battery life

\(f(x)={\begin{cases}{\dfrac {1}{12-8.5}}=\dfrac{1}{3.5}&\mathrm {for} \ 8.5\leq x\leq 12,\\[8pt]0&\mathrm {for} \ x<8.5\ \mathrm {or} \ x>12\end{cases}}\)

b. P(x<11) = 0.7143

Step-by-step explanation:

The question is incomplete

In October, Apple introduced a much smaller variant of the Apple iPad, known as the iPad Mini. Weighing less than 11 ounces, it was about 50% lighter than the standard iPad. Battery tests for the iPad Mini showed a mean life of hours (The Wall Street Journal, October 31, 2012). Assume that battery life of the iPad Mini is uniformly distributed between 8.5 and 12 hours.

a. Give a mathematical expression for the probability density function of battery life.

b. What is the probability that the battery life for an iPad Mini will be 11 hours or less (to 4 decimals).

a. We model the battery life as random variable with an uniform distribution with parameters a (min. value)=8.5 hours and b (max. value)=12 hours.

The probability that the battery life takes any value between 8.5 and 12 is constant. Also, the probability that takes any value outside the interval (8.5, 12) is 0.

We can express that as:

\(f(x)={\begin{cases}{\dfrac {1}{12-8.5}}=\dfrac{1}{3.5}&\mathrm {for} \ 8.5\leq x\leq 12,\\[8pt]0&\mathrm {for} \ x<8.5\ \mathrm {or} \ x>12\end{cases}}\)

The last is the probability density function for the battery life.

b. We can calculate P(x<11) using the cumulative density function or integrating the density function between x=0 (or x=a=8.5) and x=11.

\(P(x<11)=\int\limits^{11}_{8.5} \dfrac{1}{3.5} \, dx=\dfrac{1}{3.5}(x_2-x_1)=\dfrac{1}{3.5}(11-8.5)=\dfrac{2.5}{3.5}= 0.7143\)

Answer:

it's either 20 or 80..

Answer:

80 shoes

Step-by-step explanation:

40×2

Answer:

C)Only III follows

Step-by-step explanation:

Let's review the conclusions;

I. Some proses are songs.

This is false because of the statement; No song is prose.

II. Some epics are lullabies.

This is false because of the following statements; A lullaby is a song. and No song is prose.

III. Some songs are lullabies.

This follows because of the statement; A lullaby is a song.

The correct option is;

C)Only III follows

The correct conclusion based on the logical statements is C) Only III follows.

1. A lullaby is a song.

2. No song is prose.

3. Some proses are epics.

I. Some proses are songs.

II. Some epics are lullabies.

III. Some songs are lullabies.

The first conclusion that some proses are songs is not sound because the earlier claim is that "no song is prose." In the same light, the second conclusion is incorrect because a lullaby is usually a song as asserted in statement 1. While epics can be prose or poem, a lullaby is not prose but a poem or a song.

Thus, the correct conclusion based on the logical statements is C) Only III follows.

Learn more about logical statements and conclusions at https://brainly.com/question/18575348

Answer: 6 hours

Step-by-step explanation:

Answer:

C. 6 hours

Step-by-step explanation:

So we have the ratio of 15 pages to 2 hours. To find how long it will take him to read 45 pages, divide 45 by 15 to find what 15 was multiplied by.

45/15 = 3.

Because the answer is 3, multiply the 2 hours by 3 as well.

2 x 3 = 6.

Therefore, it will take Don 6 hours to read 45 pages.

Hope this helps!! Ask questions if you need!

The principal if the bank manager also wants to advertise that one can earn $10 the first month is $4000.

From the information, the simple interest is $10 and the rate is illustrated as 3%.

The formula for the simple interest in a month is illustrated as:

S = (p × r × t/12 / 100)

r = rate

t = time

S = interest

Place the values in the formula:

10 = p × 3 × 1 / 100 × 12

10 = 3p/1200

Cross multiply

3p = 12000

Divide

p = 12000/3

p = 4000

The principal is $4000.

Learn more about principal on;

brainly.com/question/19105603

#SPJ1

Answer:

for part b the vertex is (2, 13)

Step-by-step explanation:

no (ice)

Answer:

It could be (2, 13)..

Step-by-step explanation:

First, we will determine the amount paid in a year. Since there are equal payments of 5000 in six months intervals we have that in a year there will be:

That means that we have 10000 per year. Now we multiply by the number of years to get the total payments:

Therefore, the total amount paid will be 200000.

Now we subtract the total payments from the face amount and we get:

Now, since the market rate is 2% we get the 2% from the 250000:

Therefore, the fair price is 5000.

The lines CA and CD are tangents to the circle O, hence; EA = 4, AB = 15, m∠ABO = 90°, m∠ODC = 90°, and m∠EAB = 30°.

The tangent to a circle theorem states that a line is tangent to a circle if and only if the line is perpendicular to the radius drawn to the point of tangency

If OB = 6 and AB = 8, then;

OA = √(8² + 6²) {by Pythagoras rule}

OA = √100

OA = 10

EA = OA - OE(radius)

EA = 10 - 6 = 4

If DE = 16 and EA = 9, then;

OA = (diameter/2) + EA

OA = 8 + 9 = 17

AB = √(17² - 8²)

AB = √225

AB = 15

OB is perpendicular to line CA tangent to the circle so m∠ABO = 90°

OD is perpendicular to the line CD tangent to the circle so m∠ODC = 90°

If m∠DOB = 120° then;

120° = m∠ABO + m∠EAB {exterior angle of a triangle is equal to the two opposite interior angles}

m∠EAB = 120° - 90°

m∠EAB = 30°

In conclusion, for the lines tangent to the circle, we have that;

EA = 4, AB = 15, m∠ABO = 90°, m∠ODC = 90°, and m∠EAB = 30°

Know more about tangent to a circle here:https://brainly.com/question/11067500

#SPJ1

Answer:

A convenient formula to use is

S = ((1 + i)^n - 1) / i where S is the value of 1$ deposited for n periods at an interest rate of i

in this case n = 12 * 28 = 336 periods of deposit at an interest rate of

.0021 / 12 = .00175 = i

S = (1.00175^336 - 1) / .00175 = 456.8338  the value of 1$ after 336 periods

350 * 456.8338 = 159891.81   the value of 350 deposited monthly

Note that 350 * 336 would be 117,600

One must be careful to distinguish the above formula from

(1 - (1 + i)^-n) / i which gives the value of 1$ when the borrower is "paying" an interest rate of i - this would be the case for a mortgage - or what is  the value of 1$ paid for n periods when paying an interest rate of i

The equation of the line in slope-point form is:

y - 7 = -4/5(x + 6)

The equation of a line in slope-point form is given by:

y - y₁ = m(x - x₁)

where:

(x₁, y₁) represents the coordinates of a point on the line.

m represents the slope of the line.

m = (y₂ - y₁)/(x₂ - x₁)

(x₁, y₁) represents the coordinates of the 1st point on the line

where (x₂, y₂) represents the coordinates of the 2nd point on the line

We have

(x₁, y₁) = (-6, 7)

(x₂, y₂) = (4, -1)

m = (y₂ - y₁)/(x₂ - x₁)

m = (-1 - 7) / (4 - (-6))

m = -8/10

m = -4/5

Using y - y₁ = m(x - x₁):

y - 7 = -4/5(x - (-6))

y - 7 = -4/5(x + 6)

Learn more about equation of a line on:

brainly.com/question/12626026

#SPJ1

Answer:

Thus, the dimensions of the desk in the drawing are 4 cm long and 2 cm wide.

Step-by-step explanation:

Scaling

The scale factor established to represent a desk 2 meters long and 1 meter wide is:

1 centimeter = 0.5 meter

We need to convert the real dimensions to the scaled dimensions. To complete the task, it's a good idea to multiply the real dimensions by the ratio:

\(\displaystyle \frac{1\ cm}{0.5\ m}\)

to get the scaled dimensions.

The length of 2 meters is scaled to:

\(\displaystyle 2\ m\frac{1\ cm}{0.5\ m}=4\ cm\)

And the width of 1 meter is scaled to:

\displaystyle 1\ m\frac{1\ cm}{0.5\ m}=2 cm

Thus, the dimensions of the desk in the drawing are 4 cm long and 2 cm wide.

y = x - 4 is  the equation of the line in slope-intercept form.

How do you interpret a slope-intercept form?

The data provided by that form can be used to graph a linear equation in slope-intercept form. As an illustration, the equation y=2x+3 indicates that the line's slope is 2 and that its y-intercept is located at (0,3). This reveals the single point at which the line passes as well as the direction in which we should draw the full line after that.

Point from graph = (2, -2 )

                slope (m) = y/x

                                = -2/2

                                = 1

slope-intercept form ⇒ y = mx + c    

                                        -2 = 1 * 2 + c

                                          - 2 = 2 + c

                                               c = -4

 slope-intercept form ⇒ y = x - 4

Learn more about slope-intercept form

brainly.com/question/29146348

#SPJ1

The triangle that has been shown is a scalene obtuse triangle.

A triangle called a scalene triangle has three sides that are all different lengths. In other words, a scalene triangle has three different angles and no two of its sides have the same length.

A triangle with one obtuse angle is referred to as an obtuse triangle. Any angle that is greater than 90 degrees but less than 180 degrees is referred to as an obtuse angle.

Thus we have a scalene obtuse triangle.

Learn more about triangle:https://brainly.com/question/2773823

#SPJ1

Answer:

-$114/11 months

Step-by-step explanation:

The price is decreasing which means the number is going down which makes the rate negative

The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.

Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:

1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.

2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.

3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.

4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.

5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.

for more such questions on sampling method

https://brainly.com/question/13219833

#SPJ8

Answer:

2/9 should be the answer.

Step-by-step explanation:

In this example, the first thing we have to do is convert 3 to a fraction so that we can work with it, so 3 with turn into 3/1. Now we set up the problem using the keep change flip method. You 2/3 as it is, and you change the sign to multiplication. Then you flip the second fraction which is 3/1 to get 1/3. Now you have 2/3 x 1/3. Now multiply them and simplify if possible.

Was this supposed to be a question? =|

The statement that describes the distribution based on the given information is:

A) The distribution is approximately Normal, with a mean of 128 messages and a standard deviation of 98 messages.

The graph shows a normal distribution, as indicated by the shape of the curve. The highest point of the curve (the peak) is at 128, which represents the mean of the distribution.

The standard deviation measures the spread of the data, and based on the information given, it is 98. Therefore, option A accurately describes the distribution.

Learn more about standard deviation at https://brainly.com/question/475676

#SPJ1