Part 1 of 2
Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 12 people took the trip She was
able to purchase coach tickets for $130 and first class tickets for $990. She used her total budget for airfare for the trip, which was $5000 How many first class
tickets did she buy? How many coach tickets did she buy?
GOOD

The probability of having 14 purines out of 20 microrna is 0.2208.

The probability of having 14 purines out of 20 microrna can be calculated using the binomial probability formula. This formula states that the probability of having a certain number of successes (in this case, purines) out of a given number of trials (the microrna) is equal to the number of ways to get that number of successes, multiplied by the probability of success for each trial, to the power of the number of successes.

The formula is as follows: P(x successes) = \(nCx * p^x * (1-p)^(n-x)\).

In this case, n = 20, x = 14, p = 0.7. Therefore, the probability of having 14 purines out of 20 microrna is 0.2208.

To calculate this, we can first calculate nCx, which is the number of ways to get 14 successes out of 20 trials. This is equal to \(20!/14!(20-14)!\) which is \(20*19*18*17*16*15/14!\), which simplifies to 4845. We can then multiply this by 0.7^14 and (1-0.7)^6 (the probability of success for each trial and the number of trials that didn't result in success), which gives us 0.2208.

Therefore, the probability of having 14 purines out of 20 microrna is 0.2208.

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Therefore, the area of the tile shown is approximately 58 cm^2, which is closest to the first option, 58 cm^2.

We know that BC = 3 cm and CD = 7 cm. We also know that AD = 4 cm and BD = 6 cm. To find the length of AB, we can use the Pythagorean theorem:

AB^2 = Ad² + BD²

AB^2 = 4² + 6²

AB² = 52

AB = √(52) =

2 * √(13) cm

Area = (1/2) x (sum of parallel sides) x (distanc)

In this case, the sum of the parallel sides is AB + BC = 2sqrt(13) + 3 cm, and the distance between them is CD = 7 cm. So:

Area = (1/2) x (2* √(13) + 3) x 7

Area = (√(52) + 3/2) x 7

Area ≈ 58 cm²

Therefore, the area of the tile shown is approximately 58 cm^2, which is closest to the first option, 58 cm^2.

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A person weighing 240 lbs would receive approximately 1360 milligrams of medication, assuming the dosage is directly proportional to weight. However, please note that this is a hypothetical calculation, and it's crucial to consult with a healthcare professional for accurate dosage recommendations tailored to an individual's specific circumstances.

The dosage of a medication typically depends on various factors, including the patient's weight, medical condition, and specific instructions from the prescribing healthcare professional. Without additional information, it is difficult to provide an accurate dosage recommendation.

However, if we assume that the dosage is based solely on weight, we can calculate the dosage for a person weighing 240 lbs using the ratio of weight to dosage. Let's assume that the dosage for a 300 lb patient is 1700 milligrams.

The ratio of weight to dosage is constant, so we can set up a proportion to find the dosage for a 240 lb person:

300 lbs / 1700 mg = 240 lbs / x mg

To solve for x, we can cross-multiply and then divide:

300 lbs * x mg = 1700 mg * 240 lbs

x mg = (1700 mg * 240 lbs) / 300 lbs

Simplifying the equation:

x mg = (1700 * 240) / 300

x mg = 408,000 / 300

x mg ≈ 1360 mg

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Answer:B= 7/9 C=10/9 A=0.62

Step-by-step explanation:

i know this because i multiplyed by 1/3 by 3 to get 3/9 6/9 9/9 for the number line

1.  Exponential decay 2. Josh's function represents the situation correctly 3. V(x) = 1275(0.835)ˣ,  V(x) = 1275(1-0.165)ˣ

An exponential decay function is a mathematical function that describes the decrease in value of a quantity over time or through a series of events. It is often used to model natural phenomena such as radioactive decay or the spread of diseases.

In an exponential decay function, the value of the quantity decreases exponentially over time. This means that the rate of decrease is proportional to the value of the quantity at any given time.

The exponential decay function is characterized by a decreasing graph that approaches zero but never touches the x-axis. The rate of decay slows down over time, but the quantity never completely disappears. The function is used in various fields such as physics, chemistry, biology, finance, and economics, to name a few.

1. This situation represents exponential decay because the value of the computer decreases by 16.5% each year.

2. Josh's function represents the situation correctly because it involves the decay factor (0.835) which is less than 1, reflecting the decrease in value each year. Eve's function represents exponential growth which is not consistent with the situation where the value of the computer decreases each year.

3. V(x) = 1275(0.835)ˣ represents the function using the form V(x) = a(b)ˣ where a = 1275 and b = 0.835.

Alternatively, V(x) = 1275(1-0.165)ˣ represents the function using the form V(x) = a(1-r)ˣ where a = 1275 and r = 0.165.

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Answer:

We have, 80% × x = 100

or,

80/100×1 x = 100

Multiplying both sides by 100 and dividing both sides by 80,

we have x = 100 × 100/80

x = 125

If you are using a calculator, simply enter 100×100÷80, which will give you the answer.

Answer:

2.5

Step-by-step explanation:

45/18 = 2.5

35/24 = 2.5

40/16 = 2.5

Answer:

Step-by-step explanation:

V = B * h

B = pi r^2

r = 12 km

B = 12^2 * pi

B = 144 * pi

h = 7 km

Volume = 144 *7 * pi

Volume = 1008 * pi

Volume = 3165.1

The scale factor of the dilation of the triangles is 2

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

The similar triangles

The scale factor of the dilation is the division of the corresponding sides

So, we have

Scale factor = 6/3

When evaluated, we have

scale factor = 2

Hence the scale factor is 2

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The function representing the price for one dog to be trained in t years is option C: P(t) = \(2750(0.2)^t.\)

In mathematics, a function is a relation between two sets of values, where each input value from the first set (called the domain) corresponds to exactly one output value in the second set (called the range). The output value of a function is determined by its input value and any relevant rules or formulas.

Formally, a function can be defined as follows: Let X and Y be two non-empty sets. A function f from X to Y is a rule or formula that assigns to each element x in X a unique element y in Y, denoted by f(x), such that for any two elements x1 and x2 in X, if x1 = x2, then f(x1) = f(x2). The set X is called the domain of the function, and the set Y is called the codomain or range of the function.

Functions can be represented graphically, algebraically, or in tabular form. The graph of a function shows how the output value of the function varies with the input value, and can be used to visualize the behavior of the function. The algebraic representation of a function can be given by a formula or equation that expresses the output value in terms of the input value. A tabular representation of a function shows the input-output pairs in a table.

Functions are used in many areas of mathematics, science, engineering, and economics to model and describe relationships between variables. They are also used in practical applications, such as in computer programming, where they are used to define algorithms and data structures.

The total income is earned from training 400 dogs, so the price for one dog to be trained is the total income divided by the number of dogs trained:

P(t) = M(t) / D(t)

Substituting D(t) and M(t), we get:

P(t) =\((1100000(0.02)^t) / (400(0.1)^t)\)

P(t) = \(2750(0.2)^t\)

Therefore, the function representing the price for one dog to be trained in t years is option C: P(t) = \(2750(0.2)^t.\)

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Answer:

Step-by-step explanation:

Answer:

Side AB congruent to side DE

( being the side joining two congruent angles)

Answer:

Please see the attached picture for full solution.

Answer:

The expression represents the price you paid per gallon is:

Step-by-step explanation:

To identify the expression is right, I'll show you with an example: suppose that you paid $56 buying 7 gallons of gas, now you can replace those values in the expression I gave you:

And you can check this value by multiplying the price paid by the gallon and the number of gallons, which you obtain the number of dollars you spent:

Answer:

2(3 + 8k)

Step-by-step explanation:

GCF of 6 and 16 is 2.

6 + 16k = 2(3 + 8k)

Answer:

From the information given,

Area of rectangle = 36 cm^2

length of rectangle is 5 cm longer than its width

We want to find the length and width of the rectangle

Let W represent the width of the rectangle. It means that

length of rectangle = W + 5

Recall,

Area = length x width

Thus,

W(W + 5) = 36

W^2 + 5W = 36

W^2 + 5W - 36 = 0

This is a quadratic equation. We would solve by applying the method of factorization. The first step is to multiply W^2 with - 36. It becomes – 36W^2. We would find two terms such that their sum or difference is 5W and their product is – 36W^2. The terms are 9W and - 4W By replacing 5W with 9W - 4W, we have

W^2 + 9W - 4W - 36 = 0

Factorize by grouping. It becomes

W(W + 9) - 4(W + 9) = 0

Since W + 9 is common, it becomes

(W + 9)(W - 4) = 0

W + 9 = 0 or W - 4 = 0

W = - 9 or W = 4

Since the width cannot be negative,

W = 4

length = 4 + 5 = 9

Thus, the dimensions are

length = 9 cm

width = 4 cm

Step-by-step explanation:

The length is a single value

so is the width.

The length cannot be written as a multiplication of two numbers

The statement 'when finding a minimum in a linear programming problem, it is possible to find more than one minimum value' is True.

In this question, we have been given a statement - 'when finding a minimum in a linear programming problem, it is possible to find more than one minimum value.'

We need to state whether it is true or false.

We know that, the minimum value of the objective function Z = ax + by in a linear programming problem can also occur at more than one corner points of the feasible region.

Therefore, when finding a minimum in a linear programming problem, it is possible to find more than one minimum value.

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Answer:

x-1 and x+4. srry if i am wrong

Step-by-step explanation:

Test of significance is  the observed effect due to chance. Option (c) is correct .

What is a significance test?

What makes significance significant?

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Answer:

-12

Step-by-step explanation:

Let b = -1 and a = -3

The average rate of change = \(\frac{f(b) - f(a)}{b - a}\)

f(b) = f(-1) = 3(-1)^2 - 5 = 3 - 5 = -2

f(a) = f(-3) = 3(-3)^2 - 5 =27 - 5 = 22

f(b) - f(a) = -2 - 22 = -24

b - a = -1 + 3 = 2

\(\frac{f(b) - f(a)}{b - a}\) = -24/2 = -12

Answer:

The perimeter of the triangle is 30 cm.

The perimeter of the rectangle is also 30 cm.

Step-by-step explanation:

The perimeter of the triangle is 30 cm.

The perimeter of the rectangle is also 30 cm.

The average balance in the bank account is $1,125.64.

So, the average balance of the account will be:

Fill in the values and solve as follows:

Therefore, the average balance in the bank account is $1,125.64.

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The equation of a parabola of vertex (2,-3), going through the point (0,-4), is given as follows:

A. y = 1/4(x - 2)² - 3.

The quadratic function of vertex(h,k) is given by the rule presented as follows:

y = a(x - h)² + k

In which:

The vertex of parabola is (2, -3), hence the parameters h and k are given as follows:

h = 2, k = -3.

Then:

y = a(x - 2)² - 3.

When x = 0, y = -4, hence the leading coefficient a is obtained as follows:

-4 = 4a - 3

4a = 1

a = 1/4.

Hence the equation is given as follows:

y = 1/4(x - 2)² - 3.

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Answer:

x = 9

Step-by-step explanation:

(7x + 7) + 60 = 13x + 13 (exterior angle)

7x + 67 = 13x + 13

6x = 54

x = 9

Answer:

10.7a - 6

Step-by-step explanation:

(3 + 16.4a) − (9 + 5.7a)= 3 + 16.4a - 9 - 5.7a

                                   = 10.7a - 6

Step-by-step explanation:

the answer is = 650/50 = 13

so, she got 13, 50 rupee note.

hope this helps.

Answer:

x=0.0000−3.0000i

x=0.0000+3.0000i

Hoped I helped

Answer:

x  = 3√3 - 3

x  = -3√3 - 3

Step-by-step explanation:

(3+x)² + 9 = 36

(x + 3)² + 9 - 9 = 36 - 9

(x + 3)² = 27

x + 3 = 3√3

x + 3 = -3√3

therefore,

x  = 3√3 - 3

x  = -3√3 - 3

Answer:

10.8 kilometers

Answer:

18 servings

Step-by-step explanation:

Answer:

\(\underline{\underline{ -10x +2}}\)

Step-by-step explanation:

A expression is given to us and we need to simplify out the expression . The given expression is ,

\(\implies 2(-3x +1)-4x \)

Open the brackets .

\(\implies -6x +2-4x \)

Simplify the like terms .

\(\underline{\underline{ -10x +2}}\)

Hence the correct option is (4) .