35 out of 48 people chose Nike as their favorite brand.If you were to ask 528 people how many would pick Nike?

Answer:

let length of Ribbon B l

Therefore

L=30

Ribbons cutted in ratio 5 is to 3

Therefore length of ribbonS

Be 30*5

=150

And 3*30=90

Therefore lengths of ribbons be 150 and 90

hope this helps :)

have a great day ahead!

There are 4 integers between 20 and 30 that have a prime factorization with exactly 3 factors that are not necessarily unique.

To find the integers with a prime factorization having exactly 3 factors, we need to look for numbers that can be expressed as the product of two distinct prime numbers.

Step 1: Identify the prime numbers between 20 and 30. The prime numbers in this range are 23, 29.
Step 2: Determine all possible pairs of distinct prime numbers. In this case, we have only one pair: (23, 29).
Step 3: Calculate the products of these pairs. The products of (23, 29) are 667 and 667.
Step 4: Count the integers between 20 and 30 that match these products. We have two integers that match, which are 21 and 27.
Step 5: Check if these integers have exactly 3 factors. The factors of 21 are 1, 3, 7, and 21 (a total of 4 factors), so it does not meet the criteria. The factors of 27 are 1, 3, 9, and 27 (a total of 4 factors), so it also does not meet the criteria.

Therefore, there are no integers between 20 and 30 with a prime factorization having exactly 3 factors that are not necessarily unique.

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The series ∑3ke − k/28 is a divergent series.

To determine whether the series ∑3ke − k/28 converges or diverges, we can use the ratio test.

The ratio test states that if lim┬(n→∞)⁡|an+1/an|<1, then the series converges absolutely; if lim┬(n→∞)⁡|an+1/an|>1, then the series diverges; and if lim┬(n→∞)⁡|an+1/an|=1, then the test is inconclusive.

Let's apply the ratio test to our series:

|a(n + 1)/a(n)| = |3(n + 1) \(e^(^-^(^n^+^1^)/28) / (3n e^(^-^n^/^2^8^))|\)

= |(n+1)/n| * |\(e^(^-^1^/^2^8^)\)| * |3/3|

= (1 + 1/n) * \(e^(^-^1^/^2^8^)\)

As n approaches infinity, the expression (1 + 1/n) approaches 1, and \(e^(^-^1^/^2^8^)\) is a constant. Therefore, the limit of the ratio is 1.

Since the limit of the ratio test is equal to 1, the test is inconclusive. We need to use another method to determine convergence or divergence.

One possible method is to use the fact that \(e^x > x^2^/^2\) for all x > 0. This implies that \(e^(^-^k^/^2^8^)\) < \((28/k)^2^/^2\) for all k > 0.

Therefore,

|a(k)| = 3k \(e^(^-^k^/^2^8^)\) < 3k\((28/k)^2^/^2\)

= 42k/k²

= 42/k

Since ∑1/k is a divergent series, we can use the comparison test to conclude that ∑|a(k)| diverges.

Therefore, the series ∑3ke − k/28 also diverges.

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Answer:

Correct Answer:A sample size greater than 25

Step-by-step explanation:

hope this helps

Answer:

Slope of the line, m = 4/3

Step-by-step explanation:

Given;

4x - 1 = 3y + 5

Make y the subject

4x - 1 = 3y + 5

4x - 3y = 5 + 1

4x - 3y = 6

-3y = 6 - 4x

Divide both sides by -3

y = (6 - 4x) / -3

y = -2 + 4/3x

Slope intercept form is given by

y = mx + b

Where,

m = slope

y = - 2 + 4/3x

m = 4/3

Slope of the line, m = 4/3

Answer:

Above answer is INCORRECT.

The CORRECT answer is 2/3

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Solve. Technically, there are two methods. You can first multiply, or first divide.

Essentially the question is:

(5 * 2)/5

or

2 * (5/5)

Solve. Remember to follow PEMDAS. First solve the parenthesis, then simplify:

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

2 * (5/5) = 2 * 1 = 2

2 is your answer.

~

Answer:

the answer is 2

Step-by-step explanation:

First, divide 2/5= 0.4

Then, multiply 0.4 by 5 = 2

Answer:

m=5

Step-by-step explanation:

c=30m+50

c=20m+100

substitute

20m+100=30m+50

like terms

100-50=30m-20m

50=10m

m=5

Answer:

m = 5

Step-by-step explanation:

We know that c = c.

Since c is also equal to 30m+50 and 20m+100, 30m+50 = 20m+100 is just saying c = c. Then we solve that equation:

30m+50 = 20m+100

Same to both sides

10m = 50

divide by 10

m = 5

Let me know if you have any questions

The complete table:

Number of paces per minute      Pace length (metres)

63                                                            0.45

70                                                             0.5

77                                                             0.55

84                                                            0.6

To fill in the missing numbers in the table, we can use the relationship given as:

n / P = 140

Where n is the number of paces per minute, and P is the pace length in meters.

For the second row, we are given the number of paces per minute, n = 70, and we need to find the pace length, P. We can rearrange the formula as:

P = n / 140

Substituting the values, we get:

P = 70 / 140 = 0.5 meters

So the missing pace length in the table is 0.5 meters.

For the fourth row, we are given the pace length, P = 0.6 meters, and we need to find the number of paces per minute, n. We can rearrange the formula as

n = P x 140

Substituting the values, we get:

n = 0.6 x 140 = 84

So the missing number of paces per minute in the table is 84.

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Area of the given triangle is 132 sqr inches.

The size of a section on a surface is determined by its area. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a shape or planar lamina. Area is the total amount of area occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the region that its boundary encloses. The quantity of unit squares that span a closed figure's surface is its area.

Heron's formula in mathematics provides the triangle's area in terms of its three side lengths, a, b, and c. it is given by

area= \(\sqrt{s(s-a)(s-b)(s-c)}\) where s is the semi perimeter.

In the given triangle,

let a=15

b= 18

c= 21

s= \(\frac{a+b+c}{2}\)

s=\(\frac{15+18+21}{2}\)= 27

using heron's formula,

area= \(\sqrt{s(s-a)(s-b)(s-c)}\)

area= \(\sqrt{27(27-15)(27-18)(27-21)}\)

       = \(\sqrt{17496}\)= 132.27 sqr inches

        ≈132 sqr inches

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Answer: 54 sqrt 6

Step-by-step explanation: I have no clue how to get to this answer, but I got it wrong on the test and this is what it says the right answer is.

The function y=x²+5x-6 has a minimum value. All real numbers are included in the function's domain. The function has a range of y ≤ 12.25, the correct option is (c).

The parabola has a minimum value and widens upwards since the x² term's coefficient is positive.

To find the minimum value, we can use the formula for the x-coordinate of the vertex:

x=-b/2a=-5/(2 × 1)=-2.5.

Plugging this value into the equation, we get

y=(-2.5)²+5(-2.5)-6=-12.25.

Therefore, the function has a minimum value of -12.25.

The function is a polynomial, which means it is defined for all real numbers.

Since the function has a minimum value of -12.25, the range of the function is all real numbers less than or equal to -12.25, i.e., {y ≤ 12.25}.

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The complete question is:

Consider the equation y=x^(2)+5x-6. Determine whether the function has a maximum or minimum value. State the maximum or minimum value. What are the domain and range of the function

a. minimum; 0; D: (all real numbers); R: {all real numbers}

b. maximum; 0; D (all real numbers); R: {y <-0}

c. minimum; -12.25; D (all real numbers); R: {y <-12.25}

d. maximum; -12.25; D {x <- 2.5}; R: {all real numbers}

The price per T-shirt should be at least $15 to achieve a profit of $250.

To calculate the price per T-shirt that will yield a profit of at least $250, we need to consider the cost of production, the desired profit, and the number of shirts to be sold.

Given that the cost to make each T-shirt is $10, and we want to sell 50 shirts, the total cost of production would be 10 * 50 = $500.

Now, let's calculate the minimum revenue needed to achieve a profit of $250. We add the desired profit to the total cost of production: $500 + $250 = $750.

Finally, to determine the price per T-shirt, we divide the total revenue by the number of shirts: $750 ÷ 50 = $15.

Therefore, to make a profit of at least $250, the price per T-shirt should be set at $15.

By selling each T-shirt for $15, the total revenue would be $15 * 50 = $750. From this revenue, we subtract the total production cost of $500 to calculate the profit, which amounts to $750 - $500 = $250. Thus, by charging $15 per T-shirt, the desired profit of $250 is achieved.

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Answer:

The answer is below

Step-by-step explanation:

We must first define the concepts a little:

We have that when the sides are congruent that is to say that they have the same direction and the same size and also the two opposite sides are parallel, the angles will be the same.

Now, in an isosceles triangle, two angles are congruent, because their two sides are congruent.

Answer:

hi

Step-by-step explanation:

Answer:

6x^2+4xy

Step-by-step explanation:

Hope that helps you out!

Answer:

Step-by-step explanation:

6x^2+4xy

Sell $500,000 worth of real estate in order to earn a commission of $35,000 at a rate of 7%. So the correct answer is D) $500,000.

Use the given information to set up a proportion and solve for the unknown sales amount:

Commission earned / Sales amount = Commission rate

$21,000 / $300,000 = 0.07

Now we can use this proportion to find the sales amount needed to earn $35,000:

$35,000 / 0.07 = $500,000

Therefore, they would need to sell $500,000 worth of real estate in order to earn a commission of $35,000 at a rate of 7%. So the correct answer is D) $500,000.

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To model the evolution of the populations of frogs, flies, and crocodiles over time, we can use the following system of differential equations: dP/dt = k1PQ - k2P

dQ/dt = k3Q - k4PQ
dR/dt = -k5R + k6PQ

where P, Q, and R represent the populations of frogs, flies, and crocodiles at time t, and k1 through k6 are positive constants representing various factors affecting the populations.

In the first equation, the term k1PQ represents the growth of the fly population due to the presence of frogs, while the term k2P represents the natural decay of the frog population.

In the second equation, the term k3Q represents the growth of the fly population in the absence of crocodiles, while the term k4PQ represents the impact of the frog population on the fly population.

In the third equation, the term k5R represents the natural decay of the crocodile population, while the term k6PQ represents the impact of the frog and fly populations on the crocodile population.

The plus or minus signs in these equations depend on the direction of the population change. For example, the term k1PQ is positive because an increase in the frog population (P) will lead to an increase in the fly population (Q).

However, the term -k5R is negative because an increase in the crocodile population (R) will lead to a decrease in the crocodile population over time.

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While linear regression can be a useful tool for prediction, it is important to consider the quality of the data, assess the linearity assumption, and be cautious when extrapolating beyond the observed data range.

This is an example of using linear regression to predict the weight of a kitten at a specific time (10 weeks in this case) based on the given linear model ŷ = 1.7 + 1.48t.

Using linear regression to make predictions is a common practice and can provide reasonable estimates in many cases. However, whether it is considered a best practice for prediction depends on various factors. Here are a few considerations:

Data quality: The accuracy and reliability of the predictions heavily depend on the quality of the data used to build the linear model. If the data used for training the model is representative and accurately reflects the underlying relationship, the predictions are likely to be more reliable.

Linearity assumption: Linear regression assumes a linear relationship between the predictor variable (in this case, time) and the response variable (kitten weight). If the relationship is not truly linear, the predictions may be less accurate. It is important to assess the linearity assumption and consider alternative models if needed.

Extrapolation: When making predictions outside the range of the observed data (such as predicting the weight at 10 weeks when the data only goes up to 8 weeks), caution should be exercised. Extrapolating beyond the observed range can introduce more uncertainty and may lead to less accurate predictions.

In summary, while linear regression can be a useful tool for prediction, it is important to consider the quality of the data, assess the linearity assumption, and be cautious when extrapolating beyond the observed data range.

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1. The probability of selecting exactly one tank with high-viscosity material is 0.

2. The probability of selecting at least one tank with high-viscosity material is 1.

3. The probability of selecting exactly one tank with high-viscosity material and exactly one tank with high impurities is 0.25.

1. The probability of selecting exactly one tank with high-viscosity material is calculated by the binomial distribution formula, P(X = n) = (nCx)p^x(1-p)^n-x, where n is the number of trials, x is the number of successes, and p is the probability of success. In this case, n = 4, x = 1, and p = 24/24 = 1. Therefore, P(X = 1) = (4C1)1^1(1-1)^4-1 = 0.

2. The probability of selecting at least one tank with high-viscosity material is calculated by the complement rule, P(X > 0) = 1 - P(X = 0). In this case, P(X > 0) = 1 - (4C0)1^0(1-1)^4-0 = 1.

3. The probability of selecting exactly one tank with high-viscosity material and exactly one tank with high impurities is calculated by the binomial distribution formula, P(X = n) = (nCx)p^x(1-p)^n-x, where n is the number of trials, x is the number of successes, and p is the probability of success. In this case, n = 8, x = 2, and p = 24/24 = 1. Therefore, P(X = 2) = (8C2)1^2(1-1)^8-2 = 0.25.

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a)The value of c can be found by using the fact that the sum of all probabilities in a probability mass function (PMF) must equal 1. Therefore, we have:

ΣP(x) = cM + c(M + 1) + c(M + 2) + ... = 1

This is an infinite geometric series with the first term a = cM and common ratio r = 1, so we can use the formula for the sum of an infinite geometric series:

Sum = a / (1 - r) = cM / (1 - 1) = cM / 0

Since we cannot divide by zero, the only way to satisfy this equation is for cM = 0, which means c = 0.

b) P(X = 0) can be found by simply plugging x = 0 into the probability mass function P(x) = cM:

P(X = 0) = c(0) = 0

c) P(X > 2) can be found by summing the probabilities of all possible values greater than 2:

P(X > 2) = P(X = 3) + P(X = 4) + P(X = 5) + ...

Using the PMF P(x) = cM, we have:

P(X > 2) = c(3) + c(4) + c(5) + ... = 0 (since c = 0)

So, the answers to your question are: c = 0, P(X = 0) = 0, and P(X > 2) = 0.

First, let me clarify that a probability mass function is a function that maps each possible value of a random variable to the probability of that value occurring. In this case, we have a discrete random variable X that can take on the values 0, 1, 2, and so on.

Now, let's tackle the questions one by one:

a) To find the value of c, we need to use the fact that the probabilities for all possible values of X must add up to 1. In other words, we need to find the sum of P(X = x) over all possible values of x, and set it equal to 1:

P(X=0) + P(X=1) + P(X=2) + ... = 1

Using the formula given, we can write this as:

CM + CM + C(M+1) + C(M+2) + ... = 1

Simplifying the sum using the formula for the sum of an arithmetic series, we get:

CM(1 + 1 + 2 + 3 + ...) = 1

Note that the sum 1 + 1 + 2 + 3 + ... is equal to the sum of the first M natural numbers, which is M(M+1)/2. Substituting this, we get:

CM(M(M+1)/2) = 1

Solving for c, we get:

c = 2/(M(M+1))

b) To find P(X=0), we simply plug in x=0 into the formula given:

P(X=0) = CM = c(0) = 0

c) To find P(X > 2), we need to sum up the probabilities for all values of X that are greater than 2:

P(X > 2) = P(X=3) + P(X=4) + ...

Using the formula given, we can write this as:

P(X > 2) = C(M+3) + C(M+4) + ...

Simplifying the sum using the formula for the sum of an arithmetic series, we get:

P(X > 2) = C(3+4+...) = C(1+2+3+...) = CM(M+1)/2

Substituting the value of c we found in part a), we get:
P(X > 2) = 1/2

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a) The PMF of X is described in the following table:

X | 0 | 1 | 2

P(X) | 0.5 | 0.3 | 0.15

b) The expected value of X is 0.6.

(a) Probability mass function (PMF) of X:

The experiment ends when a red marble is drawn.

X represents the number of green marbles drawn before the first red marble is drawn.

X can take values from 0 to 2, as there are only 3 green marbles in the urn.

The probability of drawing 0 green marbles (X = 0):

P(X = 0) = (3/6) = 0.5

The probability of drawing 1 green marble (X = 1):

P(X = 1) = (3/6) * (3/5) = 0.3

The probability of drawing 2 green marbles (X = 2):

P(X = 2) = (3/6) * (2/5) * (3/4) = 0.15

(b) Expected value (E(X)):

E(X) = (0 * 0.5) + (1 * 0.3) + (2 * 0.15)

E(X) = 0 + 0.3 + 0.3

E(X) = 0.6

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The sum of the given fraction is -1/3

Fractions are expressions written as a ratio of two integers

Given the expression below;

5/6+(-1 1/6)

Convert the mixed fraction into improper fraction

5/6+(- 7/6)

Expand

5/6 - 7/6

Subtract

-2/6

-1/3

Hence the sum of the given fraction is -1/3

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Answer:

1. ▲ABC ~ ▲A'B'C' because ▲A'B'C' is obtained by dilating ▲ABC by a scale factor of 1/3 and then rotating it about the origin by 180 degrees.

Step-by-step explanation:

given;

ABC / A= (-12, 12) / B= (-9, 6) / C= (-3, 12)

A'B'C' / A'= (4, -4) / B'= (3, -2) / C'= (1, -4)

consider line AC = 9

                      A'C' = 3

ratio is 9/3, so the factor is 1/3

The numerical values of the Nash equilibrium prices for Firm X and Firm Y are PX = 64 and PY = 8, respectively

In a duopoly market with two firms, X and Y, the demand functions and marginal cost for each firm are given. To find the "best responses" for each firm, we need to determine the optimal price for each firm in terms of the rival's price. Subsequently, we can find the Nash equilibrium prices, where both firms play their best responses simultaneously.

For Firm X:

ProfitX = (90 - 3PX + 2PY - 10) * PX

Taking the derivative with respect to PX and setting it equal to zero:

d(ProfitX) / dPX = 90 - 6PX + 2PY - 10 = 0

Simplifying the equation:

6PX = 80 - 2PY

PX = (80 - 2PY) / 6

For Firm Y:

ProfitY = (90 - 3PY + 2PX - 10) * PY

Taking the derivative with respect to PY and setting it equal to zero:

d(ProfitY) / dPY = 90 - 6PY + 2PX - 10 = 0

Simplifying the equation:

6PY = 2PX - 80

PY = (2PX - 80) / 6

These equations represent the best responses for each firm in terms of the rival's price.

To find the numerical values of the Nash equilibrium prices, we need to solve these equations simultaneously. Substituting the expression for PY in terms of PX into the equation for PX, we get:

PX = (80 - 2[(2PX - 80) / 6]) / 6

Simplifying the equation:

PX = (80 - (4PX - 160) / 6) / 6

Multiplying through by 6:

6PX = 480 - 4PX + 160

10PX = 640

PX = 64

Substituting this value of PX into the equation for PY, we get:

PY = (2 * 64 - 80) / 6

PY = 8

Therefore, the numerical values of the Nash equilibrium prices for Firm X and Firm Y are PX = 64 and PY = 8, respectively.

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Answer:

perpendicular lines

Step-by-step explanation:

Two lines that intersect and form right angles are called perpendicular lines. The symbol ⊥ is used to denote perpendicular lines. Two lines, both in the same plane, that never intersect are called parallel lines. Parallel lines remain the same distance apart at all times.

The three points to plot for the equation 2y = 3x + 11 are (0, 5.5), (1, 7), and (-1, 4).

To graph the equation 2y = 3x + 11, we can choose any three points that satisfy the equation. Let's select three points and plot them on a coordinate plane:

Point 1:

Let's set x = 0 and solve for y:

2y = 3(0) + 11

2y = 0 + 11

2y = 11

y = 11/2 = 5.5

So, the first point is (0, 5.5).

Point 2:

Let's set x = 1 and solve for y:

2y = 3(1) + 11

2y = 3 + 11

2y = 14

y = 14/2 = 7

The second point is (1, 7).

Point 3:

Let's set x = -1 and solve for y:

2y = 3(-1) + 11

2y = -3 + 11

2y = 8

y = 8/2 = 4

The third point is (-1, 4).

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Answer:

31.40

Step-by-step explanation:

Have a wonderful Day!!!

Answer:

31.4

Step-by-step explanation:

When solving for these circumference questions, you must know the formula. The formula for circumference is 2πr (r represents radius)

1. Multiply 2 x 3.14 x 5

2. You will get your answer of 31.4

It's not hard if you know the formula :)

Answer:

the answer is No

Step-by-step explanation:

he needs $800 yet he only has $650, he will need $150 more