People of different ages were asked the question "Do you listen to audiobooks?” The bar chart displays the percentage of "yes” responses in each age group.

A bar graph titled audiobook listeners has age on the x-axis and relative frequency on the y-axis. 13 to 17, 0.08; 18 to 25, 0.15; 26 to 35, 0.23; 36 to 45, 0.45; 46 and over, 0.47.

Would it be appropriate to display the data with a pie chart?

No, because the proportions are not parts of a whole.
No, because the data categories are too broad.
Yes, because the data are grouped into categories.
Yes, because the data can be represented by a relative frequency compared to the whole.
Mark this and return

Given: The numbers below

To Determine: The arrangement of the numbers from left to right

Solutions

It can be observed that the lowest number from the given numbers is - 7.3 and the highest number is - 3.8

Hence, arranging these numbers from left to right would give us

- 7.3, - 6.8, - 5.4, - 4.5, - 3.8

Amplitude of  f(x)=5cosx

= 5

The amplitude of a periodic variable is a measure of its change in a single period. The amplitude of a non-periodic signal is its magnitude as compared with a reference value. there are numerous definitions of amplitude, which can be all functions of the magnitude of the differences between the variable's extreme values.

It refers to most displacement from the equilibrium that an object in periodic motion show. as an example, a pendulum swings through its equilibrium point (straight down), and then swings to a maximum distance away from the center.

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Answer:

a)

b)-4

Step-by-step explanation:

a) f(13) = 13-7=

b) f(3)= 3-7= -4

Answer:

\( - 4x {}^{5} - 42x {}^{5} \)

\( = ( - 4 - 42)x {}^{5} \)

\( = - 46x {}^{5} \)

A graph of the exponential function \(f(n)=37000(1.06)^n\) is shown in the image attached below.

In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:

\(f(x)=a(b)^x\)

Where:

Based on the information provided above, your salary can be modeled or represented by the following exponential function;

\(f(n)=37000(1.06)^n\)

Lastly, we would use an online graphing calculator to plot the given exponential function as shown in the graph attached below.

In conclusion, the rate of change of this exponential function is equal to 1.06.

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Answer:

18

Step-by-step explanation:

x-15=3

x=15+3

x=18

Answer:

the answer is c for Friday and 6 3/12 hours for them both combined

Step-by-step explanation:

because 3 5/12 is closest to 3 1/2=3 6/12

for fir day and Saturday day combined it would be 6 3/12

because 5/6 is 10/12 and 5/12 + 10/12 is 15/12 which is also 1 3/12

so add 3 +2=5 and then add the fraction 1 3/12 which would be 6 3/12 hours

Answer:

y =2/3 -9

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

The hypotenuse of a 45-45-90 triangle is equal to the length of a leg times \(\sqrt{2}\)

So, in your problem,

\(x = 6\sqrt{2} (\sqrt{2}\)

  = 6(2) = 12

The length of the hypotenuse is x = 6√2.

Option B is the correct answer.

There are three commonly used trigonometric identities.

Sin x = Perpendicular / Hypotenuse

Cosec = Hypotenuse / Perpendicular

Cos x = Base / Hypotenuse

Sec x = Hypotenuse / Base

Tan x = Perpendicular / Base

Cot x = Base / Perpendicular

We have,

In a right triangle, the height is one leg of the triangle and the hypotenuse is the longest side.

We can use trigonometric ratios to find the length of the other leg.

Since the angle opposite the height is 45 degrees, and we know that the tangent of 45 degrees is 1, we can write:

tan(45°) = opposite/adjacent = 6√2/x

Multiplying both sides by x gives:

x tan(45°) = 6√2

Since tan(45°) = 1, we can simplify it to:

x = 6√2

Thus,

The length of the hypotenuse is x = 6√2.

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Answer:100,000

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

2- 1 1/4= 3/4

Answer:

3/4

Step-by-step explanation:

The maximum temperature during summer in that year was 34°C.

It's not possible for the maximum temperature in Gulmarg, Kashmir to rise by 44°C during the summer.

A temperature rise of that magnitude would be extremely unusual and potentially dangerous.

However, assuming that the question meant to ask about the difference between the minimum temperature in January and the maximum temperature in summer, we can proceed with the calculation.

The minimum temperature in January was -10°C, and if we add 44°C to it, we get:

-10°C + 44°C = 34°C

Therefore, the maximum temperature during summer in that year was 34°C.

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Answer:

A. Quadratic trinomial

Step-by-step explanation:

You can easily eliminate B and C because trinomial means there are three terms. B has monomial (one term) and C has binomial (two terms).

Now you have A and D. D is cubic which means the first term (4x²) would have to be cubed (4x³). Quadratic means it is squared.

Answer:

photo is not clear so i can't help u

Answer:

i cant really see the q so sorry but goodluck <3

Answer

a=24

Step-by-step explanation:

12 times 24 equals 288 plus 14 equals 302

Given statement solution is :- The present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

To calculate the present value of an investment with compound interest, we can use the formula for the present value of an annuity:

PV = A *\((1 - (1 + r)^(-n)) / r\)

Where:

PV = Present value

A = Annual payment or cash flow

r = Interest rate per period

n = Number of periods

In this case, the annual payment (A) is R13,000, the interest rate (r) is 10% per year, and the investment is made for 8 years (n).

Using the formula and substituting the given values, we can calculate the present value:

PV = \(13000 * (1 - (1 + 0.10)^(-8)) / 0.10\)

Calculating this expression:

PV = \(13000 * (1 - 1.10^(-8)) / 0.10\)

= 13000 * (1 - 0.46318) / 0.10

= 13000 * 0.53682 / 0.10

= 6977.66 / 0.10

= 69776.6

Therefore, the present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

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Answer: Answers and explanations down below.

Step-by-step explanation:

1. 90- 24= 66

m<FCG= 66 degrees

2. 24+31=55

180-55= 125

m<BCD= 125 degrees

3. 90+24=114

m<FCB=114 degrees

4. 90+66=156

m<ACG=156 degrees

Step-by-step explanation:

FCG=66°

BCD=125°

FCB=114°

ACG=156°

If the certain truck traveled 7,605 miles in 15 days. The average number of miles traveled per day will be 507.

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

It is given that, a certain truck traveled 7,605 miles in 15 days.

The average number of miles traveled per day is obtained by dividing the total distance traveled by the total time taken as,

Suppose the average number of miles traveled per day is x,

x=76015 / 15

x=507 miles per day.

Thus, if the certain truck traveled 7,605 miles in 15 days. The average number of miles traveled per day will be 507.

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Answer:

c. outcomes

Step-by-step explanation:

Answer:

2/729

Step-by-step explanation:

This is a geometric progression.

Answer:

53\(x_{123}\) == 134 cf

Step-by-step explanation:

A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a​

The height of the building is approximately 78.63 meters.

The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.

Therefore, the height of the building is approximately 78.63 meters.

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Answer:

forgot so I have been eating much of my friends are for sure what pic and send you a few weeks I have been a bit but we are not what pic my wife is to inform that

Answer:

We do not have the image, so we can answer in a general way.

We know that the boundary line is y = -2*x - 5

We can have 4 cases:

1) a dashed line and the shaded part is above the line.

y >  -2*x - 5

2) a dashed line and the shaded part is below the line

y < -2*x - 5

Here we have dashed lines because the values of the line are not solutions for the inequality.

3) a solid line and the shaded part is above the line.

y ≥  -2*x - 5

4) a solid line and the shaded part is below the line.

y ≤  -2*x - 5

Here we have solid lines because the values in the line itself are solutions.

Answer:

Step-by-step explanation:

The graph shows the inequality y≥−2x−5.

The line y=−2x−5 is the boundary line. On one side of the line are the points with y>−2x−5, and on the other side of the line are the points with y<−2x−5.

Let's test the point (0,0), which is inside of the shaded region, and determine which inequality describes the side of the boundary line that contains the test point.

At (0,0), which inequality is true?

The shaded region contains the point (0,0); therefore, the inequality that contains (0,0), y>−2x−5 has the correct shaded side.

Notice that since the boundary line is graphed with a solid line, the inequality includes the equal sign.

Answer:

(3b - 1)(3b + 1).

Step-by-step explanation:

Difference of 2 squares:

a^2 - b^2 = (a - b)(a + b) so here we have:

9b^2 - 1 = (3b - 1)(3b + 1).

The equation formed after the transformations is given as follows:

\(g(x) = \frac{1}{6}\sqrt{x + 3}\)

The parent function in this problem is defined as follows:

\(f(x) = \sqrt{x}\)

For the vertical shrink by a factor of 1/6, the function is multiplied by 1/6, hence it is given as follows:

\(g(x) = \frac{1}{6}\sqrt{x}\)

For the translation left 3 units, we have that x -> x + 3, hence:

\(g(x) = \frac{1}{6}\sqrt{x + 3}\)

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Answer:

59

Step-by-step explanation:

6 plus 4 equals 8 plus 9

Answer:D

Step-by-step explanation:

The answer is D, -24/25

Answer: d. -24/25

Step-by-step explanation:

If two dice are rolled, the probability that one face is 4 is 11/36

The probability of an event is a number that indicates how likely the event is to occur. It is expressed as a number in the range from 0 and 1, or, using percentage notation, in the range from 0% to 100%.

So if If two dice are rolled, the outcomes are

1,1  1,2  1,3  1,4  1,5  1,6

2,1  2,2  2,3  2,4  2,5  2,6

3,1  3,2 3,3  3,4  3,5  3,6

4,1  4,2  4,3  4,4  4,5  4,6

5,1  5,2  5,3  5,4  5,5  5,6

61,  6,2  6,3  6,4  6,5  6,6

total number of possible outcomes = 36

Number of one face appearing 4 are

14 24 34 41 42 43  44  45 46 54 64 = 11

Therefore the probability is 11/36

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Using L'hopital we can see that the limit is equal to 1/22

Here we want to take the limit of x tending to zero for x/sin(22x)

Notice that when x = 0, both numerator and denominator are zero, so we need to take the limit of the first derivatives, for:

y = x

y' = 1

And for:

y = sin(22x)

y' = 22*cos(22x)

Now taking the limit we will get:

\(\lim_{x \to 0} \frac{1}{22cos(22x)} = \frac{1}{22cos(0)} = 1/22\)

That is the value of the limit.

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