d 1 1 logx tanx
dx x
    + + +

The student used 6 toonies (worth $12) and 8 $10 bills (worth $80) to pay for the bike.

what is distribution?

Distribution can refer to various things depending on the context, but in general, it means the act of dividing or sharing something among a group of people or things.

In mathematics and statistics, distribution refers to the pattern or spread of values of a variable in a population or a sample. It describes how the values of a variable are distributed or arranged, and can be represented by a probability distribution or a frequency distribution.

In business and economics, distribution refers to the process of getting products or services from the manufacturer or producer to the consumer or end user. It involves various activities such as transportation, warehousing, and retailing, and is an important part of the supply chain management.

In politics and social sciences, distribution can refer to the allocation of resources or benefits among individuals or groups in a society. It can involve issues such as income distribution, wealth distribution, and resource allocation, and is a key concern in social justice and welfare policies.

In general, distribution is a fundamental concept that involves the division or sharing of something, and can be applied in various fields and contexts.

Let's start by using algebra to solve the problem. Let x be the number of toonies and x + 2 be the number of $10 bills.

The total cost of the bike is $92, which is equivalent to 9200 cents. The number of toonies is x, which is worth 200 cents each, so the total value of the toonies is 200x cents. The number of $10 bills is x + 2, which is worth 1000 cents each, so the total value of the $10 bills is 1000(x + 2) cents. Therefore, we can write the equation:

200x + 1000(x + 2) = 9200

Simplifying and solving for x:

1200x + 2000 = 9200

1200x = 7200

x = 6

Therefore, the student used 6 toonies (worth $12) and 8 $10 bills (worth $80) to pay for the bike.

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Answer:

3(2040x-4039)/4x

Step-by-step explanation:

Answer:

The answer is 31

Step-by-step explanation:

ZTB= 31

The measure of angle ∠ZTB of triangle SRT is 31°.

A triangle is a flat geometric figure that has three sides and three angles. The sum of the interior angles of a triangle is equal to 180°. The exterior angles sum up to 360°.

For the given situation,

Let S R T be a triangle, and point Z is the in center of triangle S R T.

Lines are drawn from point Z to the sides of the triangle to form right angles and line segments Z A, Z B, and Z C as shown in the below figure.

Here, ∠ AZR = 35°, ∠ZRC = 35°, ∠ BSZ = 24°, ∠ZSA = 24°, ∠ZTB = ?

The in center of a triangle is the intersection point of all the three interior angle bisectors of the triangle. It can be defined as the point where the internal angle bisectors of the triangle cross.

According to the angle bisector theorem,

⇒ \(\angle ZRC = \angle ARZ\)

⇒ \(\angle ARZ = 35\degree\)

Let the unknown angle, ∠ZTB be x. Then ∠BTC = 2x

The sum of the interior angles of a triangle is equal to 180°,

So, \(24+24+35+35+2x=180\)

⇒ \(118+2x=180\)

⇒ \(2x=180-118\)

⇒ \(x=\frac{62}{2}\)

⇒ \(x=31\)

Hence we can conclude that the measure of angle ∠ZTB of triangle SRT is 31°.

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The expression representing the perimeter of the polygon is given as follows:

7mn³/3 + 4m² + 3mn².

The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.

Hence the perimeter for the polygon in this problem is given as follows:

mn³(1/3 + 2) + m²(1 + 3) + mn²(1 + 2) = 7mn³/3 + 4m² + 3mn².

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The coordinates of V' include the following: V' (-5, -10).

In Geometry, a dilation is a type of transformation which typically changes the side lengths of a geometric object, but not its shape.

This ultimately implies that, the dimension (size) or side lengths of the dilated geometric object would increase or decrease depending on the scale factor applied.

In this scenario an exercise, we would dilate the coordinates of V at (-2, -4) by applying a scale factor of 2.5 that is centered at the origin as follows:

V (-2, -4) → V' (-2 × 2.5, -4 × 2.5) = V' (-5, -10).

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Answer:

Parametric tests are used for interval and ratio data and Non parametric tests are used for ordinal and nominal data.

Step-by-step explanation:

Parametric tests are used for interval and ratio data and Non parametric tests are used for ordinal and nominal data.

The interval data shows data with differences or intervals.

The ratio data is the one in which statistical inferences is used and can be added ,subtracted , multiplied, or divided.

Ordinal data is one in which we measure quantitative data such as height , weight  but is in order.

Nominal data  is one in which we measure quantitative data such as hair color eye color  without order or which does not require order or sequence.

Answer:

B

Step-by-step explanation:

Part 1: The polynomial that represents the area of the hot tub = x² ft²; pool = (12x²-60x+75)ft² ; patio =.

Part 2: Cost of hot tub= $320; pool=$2541; patio = $104

To determine the area of the hot tub, pool and patio is carried out using the formula for the area of rectangle. That is; Area of rectangle = length× width

length = X ft

width = X ft

area = x² ft²

length = (6x-15) ft

width = (2x-5) ft

area = 6x -15× 2x-5

= 12x²-30x-30x+75

= (12x²-60x+75)ft²

length= (10x-12) ft

width = 2 +(2x-5)

= (2x-3) ft²

The cost of hot tub, pool and patio when X= 8 would be as follows:

area = x²

X = 8

area = 64ft²

But 1 ft² = 5$

64 ft² = ?

cost of hot hub = 64×5 = $320

area = (12x²-60x+75)ft²

where X = 8

area = 12(8)²-60(8)+75

= 768-480+75

= 363ft²

But 1 ft² = $7

363ft² = ?

cost of the pool = 363×7 =$2541

Area = (2x-3) ft²

X = 8

area = 2(8)-3

= 13ft

But 1 ft² = $8

. 13ft² = ?

Cost of patio = 13×8 = $104

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The factors of the polynomial function f(x) must be x, x + 6  and x + 3

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

The graph (see attachment)

On the graph, we have the zeros of the function to be

x = -6, x = -3 and x = 0

Set the equations to 0

So, we have the following representation

x + 6 = 0, x + 3 = 0 and x = 0

This means that the factors are

x, x + 6  and x + 3

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Answer:

$1060

Step-by-step explanation:

as the average amount of DVD and digital camera is $925 so the television cost:

$1985-$925

=$1060

Answer:

Hello!

______________________

It is for shedding their outer skin or exoskeleton. During the process, they grow and develop. This is controlled by hormones. If these hormones are not formed, their body will become deformed and they will die.

Step-by-step explanation: In many insects in the larval stages, about 5 nos, moulting occurs. The science of moulting is an intricate subject. Man also undergoes hormonal stages in life. But in case of insects, they shed outer skin, to enable them grow, leading to pupal stage and adult stage. Hormones are wonderful chemicals and they play a major role in biology.

Hope this helped you!

Answer:

it is to allow their bodies to expand under controlled and protected conditions/environments.

Hope that helps...

Answer:

0.03398 or 3.398%

Step-by-step explanation:

-This is a binomial probability problem.

-Given p=0.24, n=100, the probability that exactly 30 people is calculated as:

Hence, the probability that exactly 30 people have hypertension is 0.03398

Answer:

HD = 10.5

Step-by-step explanation:

Given BH = 3, GH = 2, BF = 10

Step 1: To find HF:

HF = BF – BH

HF = 10 – 3

HF = 7

Step 2: To find HD:

We know that if two chords intersects inside a circle, the product of the lengths of the segments of one chord equals the product of the lengths of the segments of the other chord.

⇒ GH × HD = BH × HF

⇒ 2 × HD = 3 × 7

⇒ HD = 10.5

Hence, the value of HD = 10.5.

I hope this helps a little bit.

Answer:

HD= 10.5

Step-by-step explanation:

it's 10.5

Answer:

2.5

Step-by-step explanation:

We Know

You buy 4 5/8 blue fabric and 2 1/8 green fabric .

4 5/8 = 37/8 = 4.625 blue fabric

2 1/8 = 17/8 = 2.125 green fabric

How much blue than green did you buy?

We Take

4.625 - 2.125 = 2.5

So, you buy 2.5 blue more than green.

F is the correct answer (option A) that is, the relation is like many to one. So, it is a function.

Given mapping diagram that represents the relation.

We have to determine whether the relation is a function.

(-8, -6), (-5, 2), (-8, 1), (7, 3)

Here,

Domain = (-8, -5, 7)

Range = (-6, 2, 1, 3)

A function is a relation where each input has only one output.

Here,

F. The relation is like many to one. So, it is a function.

G. The relation is many to one. So, it is a function.

H. The relation is one to many. It is not a function.

G. The relation is one to many. It is not a function.

So, F is the correct answer (option A) that is, the relation is like many to one. So, it is a function.

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Answer:

C) x = 3.7

Step-by-step explanation:

sin 41° = x/5.6

0.6561 = x/5.6

x = 3.7

Answer:

-5

Step-by-step explanation:

5-(-5)/3-5=10/-2=-5

(can I get brainliest please)

ANSWER:

D.

STEP-BY-STEP EXPLANATION:

In this case, we have the following:

3 quarters, 2 dimes, 3 nickels, and 1 penny.

Let Q, quarters

Let D, dimes

Let N, nickels

Let P, penny

Now,

Since there is only 1 penny, it cannot go out twice.

But in the case of Q, D and N, if they can come out twice, there are more than one.

Then you could choose one of each, just like this:

QD

QN

QP

DN

DP

NP

Therfore, the option that includes all those options is the last option D.

The probability that the person will not die will be D. 0.99548

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1. In this case, 0 denotes the impossibility of the event and 1 represents certainty.

Since the probability that the person will die is 814/1000000, the probability that the person will not die will be:

= 1 - 452/100000

= 99548/100000

= 0.99548

The correct option is D.

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If the probability that a person will die in the next year is 452/100000, the probability that the person will not die in the next year?

A. 99%

B. 0.99548

C. 0.00452

D. 0.99548

Answer:

True

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

It's the other way around. A yard is three feet.

6 tables are required. Each prime number attender should serve 3 customers each.

The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

All the numbers other than prime numbers are composite numbers.

The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.

Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.

Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables

Therefore, 6 tables are required.

Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.

Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.

Thus, each prime number attender should serve 3 customers each.

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The value of function which cross the y-axis at point (0, 7) will be;

⇒ y = x + 7

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The point which cross the function = (0, 7)

Now,

Since, The point which cross the function = (0, 7)

Hence, The point must be satisfy the function.

By option (1);

⇒ y = x + 7

Put (x, y) = (0, 7)

⇒ 7 = 0 + 7

⇒ 7 = 7

Thus, The correct function which passes through the point (0, 7) is,

⇒ y = x + 7

Option (i) is true.

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Answer:

\(\begin{array}{ccccccccccccccc}{1} & {3} & {4} & {12} & {15} & {18}& {18 } & {26} & {29} & {30} & {32} & {57} & {58} & {61} \\ \end{array}\)

Step-by-step explanation:

Given

\(\begin{array}{ccccccccccccccc}{1} & {[ \ ]} & {4} & {[ \ ] } & {15} & {18}& {[ \ ] } & {[ \ ]} & {29} & {30} & {32} & {[ \ ]} & {58} & {[ \ ]} \\ \end{array}\)

Required

Fill in the box

From the question, the range is:

\(Range = 60\)

Range is calculated as:

\(Range = Highest - Least\)

From the box, we have:

\(Least = 1\)

So:

\(60 = Highest - 1\)

\(Highest = 60 +1\)

\(Highest = 61\)

The box, becomes:

\(\begin{array}{ccccccccccccccc}{1} & {[ \ ]} & {4} & {[ \ ] } & {15} & {18}& {[ \ ] } & {[ \ ]} & {29} & {30} & {32} & {[ \ ]} & {58} & {61} \\ \end{array}\)

From the question:

\(IQR = 20\) --- interquartile range

This is calculated as:

\(IQR = Q_3 - Q_1\)

\(Q_3\) is the median of the upper half while \(Q_1\) is the median of the lower half.

So, we need to split the given boxes into two equal halves (7 each)

Lower half:

\(\begin{array}{ccccccc}{1} & {[ \ ]} & {4} & {[ \ ] } & {15} & {18}& {[ \ ] } \\ \end{array}\)

Upper half

\(\begin{array}{ccccccc}{[ \ ]} & {29} & {30} & {32} & {[ \ ]} & {58} & {61} \\ \end{array}\)

The quartile is calculated by calculating the median for each of the above halves is calculated as:

\(Median = \frac{N + 1}{2}th\)

Where N = 7

So, we have:

\(Median = \frac{7 + 1}{2}th = \frac{8}{2}th = 4th\)

So,

\(Q_3\) = 4th item of the upper halves

\(Q_1\)= 4th item of the lower halves

From the upper halves

\(\begin{array}{ccccccc}{[ \ ]} & {29} & {30} & {32} & {[ \ ]} & {58} & {61} \\ \end{array}\)

We have:

\(Q_3 = 32\)

\(Q_1\) can not be determined from the lower halves because the 4th item is missing.

So, we make use of:

\(IQR = Q_3 - Q_1\)

Where \(Q_3 = 32\) and \(IQR = 20\)

So:

\(20 = 32 - Q_1\)

\(Q_1 = 32 - 20\)

\(Q_1 = 12\)

So, the lower half becomes:

Lower half:

\(\begin{array}{ccccccc}{1} & {[ \ ]} & {4} & {12 } & {15} & {18}& {[ \ ] } \\ \end{array}\)

From this, the updated values of the box is:

\(\begin{array}{ccccccccccccccc}{1} & {[ \ ]} & {4} & {12} & {15} & {18}& {[ \ ] } & {[ \ ]} & {29} & {30} & {32} & {[ \ ]} & {58} & {61} \\ \end{array}\)

From the question, the median is:

\(Median = 22\) and \(N = 14\)

To calculate the median, we make use of:

\(Median = \frac{N + 1}{2}th\)

\(Median = \frac{14 + 1}{2}th\)

\(Median = \frac{15}{2}th\)

\(Median = 7.5th\)

This means that, the median is the average of the 7th and 8th items.

The 7th and 8th items are blanks.

However, from the question; the mode is:

\(Mode = 18\)

Since the values of the box are in increasing order and the average of 18 and 18 do not equal 22 (i.e. the median), then the 7th item is:

\(7th = 18\)

The 8th item is calculated as thus:

\(Median = \frac{1}{2}(7th + 8th)\)

\(22= \frac{1}{2}(18 + 8th)\)

Multiply through by 2

\(44 = 18 + 8th\)

\(8th = 44 - 18\)

\(8th = 26\)

The updated values of the box is:

\(\begin{array}{ccccccccccccccc}{1} & {[ \ ]} & {4} & {12} & {15} & {18}& {18 } & {26} & {29} & {30} & {32} & {[ \ ]} & {58} & {61} \\ \end{array}\)

From the question.

\(Mean = 26\)

Mean is calculated as:

\(Mean = \frac{\sum x}{n}\)

So, we have:

\(26= \frac{1 + 2nd + 4 + 12 + 15 + 18 + 18 + 26 + 29 + 30 + 32 + 12th + 58 + 61}{14}\)

Collect like terms

\(26= \frac{ 2nd + 12th+1 + 4 + 12 + 15 + 18 + 18 + 26 + 29 + 30 + 32 + 58 + 61}{14}\)

\(26= \frac{ 2nd + 12th+304}{14}\)

Multiply through by 14

\(14 * 26= 2nd + 12th+304\)

\(364= 2nd + 12th+304\)

This gives:

\(2nd + 12th = 364 - 304\)

\(2nd + 12th = 60\)

From the updated box,

\(\begin{array}{ccccccccccccccc}{1} & {[ \ ]} & {4} & {12} & {15} & {18}& {18 } & {26} & {29} & {30} & {32} & {[ \ ]} & {58} & {61} \\ \end{array}\)

We know that:

The 2nd value can only be either 2 or 3

The 12th value can take any of the range 33 to 57

Of these values, the only possible values of 2nd and 12th that give a sum of 60 are:

\(2nd = 3\)

\(12th = 57\)

i.e.

\(2nd + 12th = 60\)

\(3 + 57 = 60\)

So, the complete box is:

\(\begin{array}{ccccccccccccccc}{1} & {3} & {4} & {12} & {15} & {18}& {18 } & {26} & {29} & {30} & {32} & {57} & {58} & {61} \\ \end{array}\)

Answer:

A.) F=5+x

Step-by-step explanation:

I think A is the answer because 5 year period is fixed. The x equals pounds per year is what we don't know .

Explanation:

We have 8 choices for the first slot, 7 for the second, and so on. We count our way down until we have 1 choice left for the eighth slot.

We'll get 8*7*6*5*4*3*2*1 = 40,320 different permutations.

You could use the nPr formula

\(_nP_r = \frac{n!}{(n-r)!}\)

with n = 8 and r = 8 to get the same result. The exclamation marks indicate factorials.

The 8 violinists can be seated in 40,320 ways.

A permutation is an arrangement of items in a specific direction or sequence. One should consider both the selection and the arrangement while dealing with permutation. In permutations, ordering is crucially important. The permutation is seen as an ordered combination, in other words.

Given In the orchestra, there are eight violinists in the front row,

the sitting arrangement of violinists is done with the help of permutation,

ⁿPₓ = n!/(n - x)!

here n = 8 and x = 8

(n - x)! = (8 - 8)!

(n - x)! = = 0! = 1

⁸P₈ = 8!/1

⁸P₈ = 8 x 7 x 6 x 5 x 4 x 3 x 2 x1

⁸P₈ = 40,320

Hence they can be seated in 40,320 ways.

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\(\huge\text{Hey there!}\)

\(\large\textsf{13 - 4.5 + (-8)}\\\\\large\textsf{= 13 - 4.5 - 8}\\\\\large\textsf{13 - 4.5 = \boxed{\bf 8.5}}\large\checkmark\\\\\large\textsf{8.5 - 8}\\\\\boxed{\large\textsf{= \bf 0.5}}\large\checkmark\\\\\\\\\boxed{\boxed{\large\textsf{Answer: \huge \bf 0.5}}}\huge\checkmark\)

\(\large\text{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer: 1.5 (Decimal Form) or 3/2 (Exact Form)

Step-by-step explanation:

So what you do is put the whole number which in this case is 4, into a fraction so your problem will look like this:

3 / 8 * 4 / 1 =

Then, you will have to multiply all the numbers across:

3 * 4 = 12

8 * 1 = 8

Your answer will then look like this:

12 / 8

You will have to simplify with the greatest common factor which would be 4:

12 / 4 = 3

8 / 4 = 2

So, you get your answer:

3 / 2 or 1.5

Answer:

86.60254

Step-by-step explanation:

30-60-90 triangle, which means that the base is 10. 1/2(10)(10 rt 3). Simplify answer as needed :)