Help me out to get this math problem solve

The most appropriate graph to visualize the information is a PIE CHART. The frequency bar graph makes an independent bar of each fruit each, while it is ideal, it is not easy to identify the total or percentage of each.

Both charts could be used to make a display of the information given.

The frequency bar graph makes an independent bar of each fruit each, while it is ideal, it is not easy to identify the total or percentage of each.

The pie chart could be used to represent a whole of the 100 fruits as a single circle and divides the circle into parts based on the number of fruit belonging to each type including their respective percentages.

Also, since the number of fruits/types are just 5, using a pie chart gives a more accurate and readable visual representation of the information.

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Answer:

The probability that the selected number is an odd number or a multiple of 3 is 6/9, or 2/3. This is because there are 6 numbers that meet the criteria out of the 9 numbers in the set: 1, 3, 5, 7, 9, and 3.

Answer:

24x⁸

Step-by-step explanation:

8×3=24

x⁵×x³=x⁵+x³=x⁸

24x⁸

Answer:

7 / 2, or 3.5 is between 3 and 4.

28 / 5, or 5.6 is between 5 and 6

9/4, or 2.25, is between 2 and 3.

28 / 5, or 4.6, is between 4 and 5.

Step-by-step explanation:

To multiply a whole number by a fraction, the actual way to do it is to make the non-fraction over one. So, for example, if we were to do this:

2 * (1/2)

Set 2 as 2/1 (because they are equal)

(2/1) * (1/2)

Then, multiply the numerators together and denominators together.

= 1

But, we can also save time and multiply the non-fraction with the fraction's numerator.

2 * (1/2) =

(2 * 1) / 2 =

2 / 2 =

1

Let's apply this to the problems we have.

7) 5 * (7/10)

Multiply 5 and 7.

(5 * 7) / 10 = 35 / 10 = 7 / 2

This is the answer (unless you want it even more simplified, which would either be 3 and 1/2, or 3.5). However to find what numbers it is between, simplify it further.

7/2 = 3.5

7 / 2, or 3.5 is between 3 and 4.

8) 7 * (8/10)

Multiply 7 and 8.

(7 * 8) / 10 = 56 / 10 = 28/5 = 5.6

28 / 5, or 5.6 is between 5 and 6

9) 3 * (3/4)

Multiply 3 and 3.

(3 * 3) / 4 = 9 / 4 = 2.25

9/4, or 2.25, is between 2 and 3.

10) 6 * (4/5)

Multiply 6 and 4.

(6 * 4) / 5 = 23 / 5 = 4.6

28 / 5, or 4.6, is between 4 and 5.

I hope this helps! Feel free to ask any questions!

The remaining area of forest after 12 years will be equal to 919.6 km².

What is depreciation in value ?

Depreciation refers to the value of something after it decreases over time or goes down over time.

It is given that area of forest is 2400 km². The decrease in area is of 8%.

Here ;

t = 12 years

r = 8%

We know that the depreciation in area is represented by formula which is :

Depreciation in Area (D) = A × \([1 - \frac{r}{100}]^{t}\)

where ; A = area of forest , r is rate of decrease in area and t is time in years.

So , the depreciation value will be :

D = 2500 × \([1 - \frac{8}{100}]^{12}\)

D = 2500 × [(1 - 0.08)^12]

D = 2500 × \(0.92^{12}\)

D = 2500 × 0.3676

D = 919.6 km²

Therefore , the remaining area of forest after 12 years will be equal to 919.6 km².

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The instantaneous rate of change at x = 2 is equal to the derivative, which is 2.

The derivative of f(x) = 2x - 5 with respect to x can be found by applying the power rule of differentiation, which states that the derivative of x^n is n*x^(n-1).

Taking the derivative of f(x) = 2x - 5:

f'(x) = 2 * (d/dx)(x) - (d/dx)(5)

= 2 * 1 - 0

= 2.

The derivative of f(x) with respect to x is a constant, 2, indicating that the function has a constant slope.

Therefore, the instantaneous rate of change at x = 2 is equal to the derivative, which is 2.

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Answer:

1.3/20   2.4/20 or 1/5   3.9/27 or 1/3

Step-by-step explanation:

I hope this helped!

The elements using rooster-method:

A){3,4,5,6,7,8,9,10}

B){5,6,7,8,9,10,11,12,13,14}

What is rooster-method?

By listing the items of a set inside brackets, the roster method may be used to display the elements of a set. One of three ways to describe a set is in rooster form. The items of a set are listed in the roster form between curly or following brackets, with commas separating each element. When items repeat in the set, the roster approach actually has an issue. Because the elements do not follow a pattern or have a specific order, it is impossible to describe the elements in roster notation if the set has a significant number of elements or any repeated elements.

A)Set of natural odd numbers greater than 2 but less than 11:

Let us represent the set using symbol O:

O = {3,4,5,6,7,8,9,10}

B){x| x∈ N and 4<x<15}

Given that x is a natural number greater than 4 but less than 15.

X={5,6,7,8,9,10,11,12,13,14}

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Answer: ∠16 and ∠11

Step-by-step explanation:

      All of these answer options include ∠16, so we know we're looking for an angle that is corresponding to ∠16. A corresponding angle is an angle that is in the same relative position. We will look at ∠9, ∠11, ∠2, and ∠12 since those are the given answer options, and see which is corresponding.

The correct corresponding angles are ∠16 and ∠11.

Answer:

15° , 45°, 120°

Step-by-step explanation:

sum the parts of the ratio, 1 + 3 + 8 = 12 parts

the sum of the 3 angles in a triangle = 180° , then

180° ÷ 12 = 15° ← value of 1 part of the ratio, then

3 parts = 3 × 15° = 45°

8 parts = 8 × 15° = 120°

the 3 angles are 15° , 45° , 120°

Answer:

A, they were not designed for warfare.

Step-by-step explanation:

The  description describes the knarrs as cargo ships. "they used to carry everything from gold coins, to timber, spices, and fine fabrics."

Nothing there mentions soldiers or weapons.

20p^2-4p+30pq

= 2p(10p-2+15q)

The answer is 2p(10p-2+15q).

The selection process is truly random and unbiased.

Let's break down the process of randomly selecting a theater and a movie screen for the next 6 months using a coin flip and a standard 6-sided die.

Step 1: Coin Flip

We'll toss a coin to see which theatre we go to first. The two sides of a coin are the heads and tails.. You may designate one side to stand in for Theater A and the other for Theater B. Say, for instance, that the heads represents Theater A and the tails represents Theater B, or the other way around.

You can flip the coin in the air or on a flat surface once you've assigned the two sides of the coin to the theatres. The theatre you'll go to depends on whether the outcome is heads or tails. For instance, you would enter Theater A if the coin landed on heads and Theater B if it landed on tails.

Step 2: Rolling a Die

You can now choose a movie screen at random on a normal 6-sided die after using the coin flip to decide which theatre to go to. The six faces of a typical die are numbered from 1 to 6. Each number can be used to denote a certain theatre screen for a particular film. Say, for instance, that screen number one corresponds to the number one on the die, screen number two corresponds to the number two, and so on, up to screen number six, which corresponds to the number 6.

The die can then be rolled by being thrown into the air or by being rolled on a flat surface. The answer will be a number between 1 and 6, and that number will specify the theatre you will watch your movie in.

To choose a theatre and movie screen at random for each visit, you can repeat this method for each month of the following six months. Restart by flipping a coin to determine which theatre to go to, and then choose the movie screen there using the die roll. During the next six months, you'll be able to see movies on a randomized selection of theatres and screens thanks to this.

Step 3: Repeating the Process

Once you've assigned the two sides of the coin to the theaters, you can flip the coin in the air or on a flat surface. The result will be either heads or tails, which will determine the theater you'll visit. For example, if the coin lands on heads, you'll go to Theater A, and if it lands on tails, you'll go to Theater B.

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The value of z-score such that 0.02 of the area lies to the right of z would be 2.06.

Given that,

0.02 of the area lies to the right of z.

Now, for the value of z such that 0.02 lies to the right of z, we can make use of the standard normal distribution table.

Since to determine the value of z such that 0.02 of the area lies to the right, we need to find the z-score associated with the cumulative probability of (1 - 0.02) = 0.98

Now for the value of 0.98 in the standard normal distribution table, we find that the corresponding z-score is 2.06.

Therefore, the value of z, rounded to two decimal places, is 2.06.

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The value of z such that 0.02 of the area lies to the right of z is approximately 2.05 (rounded to two decimal places).

To find the value of z such that 0.02 of the area lies to the right of z, we need to determine the z-score associated with that probability.

Since we're looking for the area to the right of z, we can use the standard normal distribution table or a statistical calculator to find the corresponding z-score.

By searching the table or using a calculator, we can find that the z-score associated with a right-tail probability of 0.02 is approximately 2.05.

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Answer:

42 degrees

Step-by-step explanation:

Use a number line.

-13 - 13 = 0.

Now, we are at the base, 0. Then, add 29.

13 + 29 + 42.

The answer is 42. Hope it helps!

Step-by-step explanation:

The formula to find the interior angle of a polygon is 180(n - 2) over n.

So, we know that the interior angle of the polygon which is 120, therefore we can produce this equation, 180(n - 2) over 2 n, equals to 120.

Now we use algebric method to solve for n.

180n − 360 = 120n

60n = 360

n = 6

The statement which best describes Gary’s error is; Gary did not use the greatest common factor in the equation.

This is the largest positive integer or polynomial that is a divisor of several different numbers. For instance, the greatest common divisor of 66, 30 and 18 is 6.

Gary's work:

66 + 36

Factors of 66: 1, 2, 3, 6, 11, 22, 33, 66

Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

66 + 36

= 3 (22 + 12)

Gary did not use the greatest common factor in the equation.

The correct answer:

66 + 36

= 6(11 + 6)

Therefore, Gary did not use the greatest common factor in the equation.

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The correct answer is D: It is not a valid sample because it is not a random sample of the population.

For a sample to be valid and representative of the population, it should be selected randomly. In this case, the researcher accepted the first 10 people who responded to the advertisement. This is a non-random sampling method known as convenience sampling and is prone to biases.

The other statements are incorrect:

A) The length of the study does not affect whether the sample is valid.

B) Offering compensation does not automatically make the sample valid.

C) Selecting the first 10 people does not make the sample valid - it needs to be selected randomly.

So in summary, the key issue here is that the sample was not selected randomly from the population, making it not a valid representative sample.

Answer:

31.4

Step-by-step explanation:

10 x 3.14 ( pi) =31.4in2

Answer:

m=6.5

Step-by-step explanation:

13 divided by 2= 6.5

In triangle DEF, the length of segment DF is 15√3. So correct option is C.

Trigonometric ratios are mathematical functions that relate the angles of a right triangle to the ratios of its sides. There are three primary trigonometric ratios: sine, cosine, and tangent, which are commonly abbreviated as sin, cos, and tan, respectively.

Here are the definitions of these trigonometric ratios:

Sine (sin): The sine of an angle in a right triangle is equal to the length of the side opposite the angle divided by the length of the hypotenuse. This can be written as sin(theta) = opposite / hypotenuse.

Cosine (cos): The cosine of an angle in a right triangle is equal to the length of the adjacent side divided by the length of the hypotenuse. This can be written as cos(theta) = adjacent / hypotenuse.

Tangent (tan): The tangent of an angle in a right triangle is equal to the length of the side opposite the angle divided by the length of the adjacent side. This can be written as tan(theta) = opposite / adjacent.

In triangle DEF, we have a right triangle at E, which means that angle DEF is a 90-degree angle. We are also given that angle DFE is 60 degrees, which means that angle EDF is 30 degrees (since the angles in a triangle add up to 180 degrees).

Let DF = x. Then, we can use the trigonometric ratios of the 30-60-90 degree triangle to solve for x

We know that the ratio of the sides in a 30-60-90 degree triangle is x : x√3 : 2x. Therefore, we have:

DE / DF = x√3 / x = √3

Simplifying this, we get:

x = DE / (√3) = 45 / (√3) = 15√3

Therefore, the length of segment DF is 15√3, which is answer choice C.

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Answer:

For each one it is shown below

Step-by-step explanation:

The computation of the prime time viewing percentage for the following data is shown below:l;

but before that we need do the total which is

= 6.2% + 8.1% + 7.4% + 6.4% + 3.1% + 2.8%

= 34%

Now for each one the viewing percentage is

For ABC

\(= \frac{6.2}{34}\)

= 18.24%

For CBS

\(= \frac{8.1}{34}\)

= 23.82%

For NBC

\(= \frac{6.4}{34}\)

= 18.82%

For Warner brothers

\(= \frac{3.1}{34}\)

= 9.12%

For fox

\(= \frac{7.4}{34}\)

= 21.76%

For UPN

\(= \frac{2.8}{34}\)

= 8.24%

Answer:

No solution

Step-by-step explanation:

Absolute values may not be less than 0.

\(\left|16-4t\right|+5-5=0-5\\\left|16-4t\right|=-5\\\mathrm{if~x~ > ~0,true}\\\mathrm{if~x~ < ~0,false}\\\mathrm{x < 0}\\\mathrm{No~Solution}\)

x is the result of the equation.

Answer:

-23

Step-by-step explanation: Because when you are adding to negatives together, they add up forward, not backword.

Answer:

70.71m

Step-by-step explanation:

In order to find the diagonal, we can use Pythagiras theorem by splitting the field in half and creating a right angled triangle.

A^2+B^2=C^2

50^2+50^2=C^2

5000=C^2

Square root 5000= 70.71m (2dp)

Hope this helped!

Since there is a barricade placed along the diagonal sq field, let's focus on one side of the triangle.

A pythagoras theorem formula can be used for right angle triangle.

So now we let the barricade be X.

By Pythagoras Theorem,

X² = 50² + 50²

X = sq root (50² +50²)

= 70.711 m ( 5sf)

= 70.7 m ( 3sf)

Therefore, the length of barricade is 70.7 m

Using the quadratic formula to solve the equation x²-3x+ 5 = 0, the resultant answer is (D) 3+√11/2 and 3-√11/2.

The quadratic formula in elementary algebra is a formula that yields the answer to a quadratic problem.

In addition to the quadratic formula, other methods of solving quadratic equations include factoring, completing the square, graphing, and others.

A second-order equation of the form ax² + bx + c = 0 denotes a quadratic equation, where a, b, and c are real number coefficients and a 0.

So, we have the equation:

x²-3x+ 5 = 0

Now, solve it using the quadratic formula as follows:

x²-3x+ 5 = 0

a = 1

b = -3

c = 5

x = -(-3)±√(-3)² -4*1*5/2

Solve this further:

x = 3±√11/2

Therefore, using the quadratic formula to solve the equation x²-3x+ 5 = 0, the resultant answer is (D) 3+√11/2 and 3-√11/2.

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Correct question:

Solve x²-3x+ 5 = 0.

A.3+√-29 +VE/2 and 3- 2-29

B. 3+√29 and 3-√29

C. 3+√-11 and 3-√-11/2

D. 3+√11/2 and 3-√11/2

Answer:

But the 2lbs.

Step-by-step explanation:

Divide $9.19 by 2 and you get 4.595 which would be the cheapest option out of the 3 because the 1lb is $7.05 and the 3lb is $5.13.

You're welcome.

Answer:

$2,500 or 25%

Step-by-step explanation:

Let's use the same example:

Cost of Equipment = $10,000

Useful Life = 4 years

Depreciation Rate = (Annual Depreciation / Cost of Equipment) * 100

Annual Depreciation = Cost of Equipment / Useful Life

Annual Depreciation = $10,000 / 4 years

Annual Depreciation = $2,500

Depreciation Rate = ($2,500 / $10,000) * 100

Depreciation Rate = 0.25 * 100

Depreciation Rate = 25%

The circumference of the circle is 2 * pi * 9 = 56.5 feet. So, the degree measure is (6/56.5) x 360 = 51.1 degrees. Rounded to two decimal places, the degree measure is 51.1 degrees.

To find the degree measure of an angle that subtends an arc of length 6 feet on a circle of radius 9 feet, use the formula: degree measure = (arc length / circumference) x 360 degrees.

The degree measure of the angle that would subtend an arc of length 6 feet on a circle of radius 9 feet can be found by using the formula:

degree measure = (arc length / circumference) * 360

The circumference of the circle is 2 * pi * 9 = 18 * pi

So, degree measure = (6 / (18 * pi)) * 360 = (6 / 18) * (360 / pi) = 60 / pi

To convert this to degrees, we can use an approximation of pi as 3.14, so

degree measure = 60 / 3.14 = 19.11

Rounding to two decimal places, the degree measure is 19.11, which can be rounded to 19.11 degrees.

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Maureen's pension would be $50,035.20.

What is Percentage?

To compute a percentage, divide the value by the entire amount and multiply the result by 100. A percentage is a quantity or ratio that is stated as a fraction of one hundred. The percent sign, "%," is frequently used to represent it.

First, we need to calculate the average of Maureen's three highest salaries:

Average = (107,000 + 107,800 + 108,198) / 3

Average = 322,998 / 3

Average = 107,666

Next, we need to calculate 1.56% of this average:

Percentage = 1.56% * 107,666

Percentage = 1,667.84

Finally, we multiply this percentage by the number of years worked to find the pension:

Pension = 30 * 1,667.84

Pension = 50,035.20

So, Maureen's pension would be $50,035.20.

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