In a city, 1 person in 5 is left handed.(a) Find the probability that in a random sample of 10 peoplei. exactly 3 will be left handed,i. more than half will be left handed.(b Find the mean and the standard deviation of the number of left handed people in arandom sample of 25 people. (c) How large must a random sample be if the probability that it contains at least oneleft handed person is to be greater than 0.95?

Shoe Town provides the finest ultimate price, so Raven should purchase the boots there.

possessing an identical or consistent ratio or connection between two quantities: If y/x = k, in which k is the proportionality constant, then the numbers y and x are proportionate.

To determine which one is the best store for Raven let's calculate the price in each case.

Shoe Town

Total price:

Initial price - Mark down  + Sales tax

85.95 - 15% + 7.16 %

85.95 - 12.89 + 7.16 %

73.06 + 7. 16%

73.06 + 5.23 = 78.29

Lace Up

Total price:

Initial price - Mark down - Coupon + Sales tax

85.95 - 10% - 5 + 7.15%

89.95 - 8.99 - 5 + 7.15%

80.96 - 5 + 7.15%

75.96 + 7.15%

75.96 + 5.43 = 81.39

Run, Don't Walk

Total price:

Initial price + shipping

71.99 + 6.50 = 78.45

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Answer: The amount of water draining at a rate of 2.5 gallons per minute.

Step-by-step explanation: A non-proportional relationship is when the slope passes through the origin. A non-proportional relationship does NOT have a fee.

AnswerProbability = the number of wanted outcomes/the number of possible outcomes

The probability of drawing a green marble is  

number of green marbles/ total number of marbles in the bag

7/16

If you replace the marble each time, each time your chance of drawing green is 7/16.  If this is done 3 times, the probability is

(7/16)(7/16)(7/16) = 0.084

For not replacing green, there is no impact on the first draw, the probability of getting green on the first draw is still 7/16. If you do not replace, this means that there are no longer 16 marbles in the bag for the second draw, there are now 15.  And since you already drew one green one, there are no longer 7 green ones, there are now 6.  So probability for green on the second draw is 6/15.  If you draw a 3rd time and there isn't replacement,  there are no longer 15 marbles in the bag for the second draw, there are now 14. And since you already drew one green one, there are no longer 6 green ones, there are now 5. So probability for green on the third draw is 5/14.  Combining the 3 draws together:

(7/16)(6/15)(5/14) = 0.063

The probability of drawing 3 with replacement is higher than without.:

After combining like terms to create equivalent expression we get (-1.9 + 1.2) + (5.1 - 3.6)t. Simplifying further, we get: -0.7 + 1.5t.

To combine like terms, we add or subtract the coefficients of the same variables. In this case, the variables are t and the constant terms (without variables) are -3.6, -1.9, and 1.2.

So the equivalent expression after combining like terms is:

(-1.9 + 1.2) + (5.1 - 3.6)t

Simplifying further, we get:

-0.7 + 1.5t

A coefficient is a numerical factor that is multiplied by a variable in an algebraic expression. It tells you how many times the variable appears in the expression. For example, in the expression 3x + 2, the coefficient of x is 3. Variables are symbols used to represent unknown quantities in mathematical equations or expressions. They can take on different values, and their value can be solved for using algebraic techniques. Equivalent expressions are expressions that have the same value for all possible values of the variables involved. For example, 2x + 4 and 4 + 2x are equivalent expressions since they simplify to the same value. Equivalent expressions can be useful in simplifying and solving algebraic equations.

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Complete Question

Combine like terms to create an equivalent expression. −

3. 6−1. 9+1. 2+5. 1 −3. 6−1. 9t+1. 2+5.

The equilibrium number of firms will be the smallest integer such that the price is 6 or higher. This occurs when n = 2. At this equilibrium, the price is P = 6, the output of each firm is y = 3/2, the industry's output is Y = 3, and the profit of each firm  = -2.

a) Supply curve of an individual firm

The price received by the individual firm will be P. Its demand curve is given by

D(p) = 20 - p.

Each firm chooses output to maximize its profit. Profit maximization occurs when the price is equal to the marginal cost. Mathematically,

P = MC(y)

4y = P

y = P/4

Thus the supply curve of the firm is y = P/4

b) The smallest price at which the product can be sold. The product can be sold at the minimum of the supply curve, which is y = 0, given P ≥ 0. Therefore the smallest price is P = 0.

c) Equilibrium price and output

Equilibrium occurs when each firm is producing at its profit-maximizing output given the output of other firms. Let the number of firms in the industry be n. The output of the industry is Y = ny. The industry supply curve is given by

S(P) = nP/4

The equilibrium price intersects the industry supply curve with the demand curve. Thus the equilibrium price satisfies

S(P) = Y

nP/4 = 20 - P

=> P = 80/(4 + n).

The equilibrium number of firms is the number that makes the industry supply curve equal to the demand curve. Thus

20 - P = nP/4

=> P = 80/(4 + n)

=> n = (80 - 20P)/P

= 20/P - 4.

Thus the equilibrium number of firms is a function of P and can range between 1 and infinity, but it must be an integer. The equilibrium output of each firm is given by

y = P/4 = 20/(4n + n²)

The equilibrium output of the industry is given by

Y = n

y = 5/P = (n² + 4n)/80.

d) Equilibrium number of firms with new demand curve D(p) = 21 - p.

The intersection of this curve with the marginal cost curve is at p = 21/5. This is greater than the minimum possible price of 0. Thus there is a positive profit to be earned in this industry, and new firms can enter the market.

e) Equilibrium price and output with new demand curve with the new demand curve D(p) = 21 - p, the industry supply curve and the equilibrium price are as given in part (d). The equilibrium output of each firm is given by y = P/4 = 21/20, and the equilibrium output of the industry is given by Y = 21/4.

f) Equilibrium number of firms, price, output, and profit with demand curve D(p) = 24 - p. This demand curve intersects the marginal cost curve at p = 6. The minimum possible price is P = 0. Thus there is a range of prices from 0 to 6 where firms can profit positively.

The equilibrium number of firms will be the smallest integer such that the price is 6 or higher. This occurs when n = 2. At this equilibrium, the price is P = 6, the output of each firm is y = 3/2, the output of the industry is Y = 3, and the profit of each firm is (6)(3/2) - (2)(2(3/2)² + 8) = -2.

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Answer:

1/3

Step-by-step explanation:

1/4 is equal to 3/12. So then we add the 3/12 and the 1/12 and get 4/12. 4/12 is equal to 1/3, so that is our answer. Hope this helps!

Therefore, the length of the curve is 10√(34).

We need to find the length of the curve given by r(t) = 5t, 3 cos(t), 3 sin(t) on the interval -5 ≤ t ≤ 5.

The length of the curve is given by the formula:

L = ∫_a^b ||r'(t)|| dt

where ||r'(t)|| represents the magnitude of the derivative of the vector function r(t).

First, we find the derivative of r(t):

r'(t) = 5, -3 sin(t), 3 cos(t)

Then, we find the magnitude of r'(t):

||r'(t)|| = √(5^2 + (-3 sin(t))^2 + (3 cos(t))^2)

= √(25 + 9 sin^2(t) + 9 cos^2(t))

= √(34)

Thus, the length of the curve is:

L = ∫_{-5}^5 ||r'(t)|| dt

= ∫_{-5}^5 √(34) dt

= √(34) [t]_{-5}^5

= √(34) (5 - (-5))

= 10√(34)

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1550 sq. in

hope it helps..!!!

After two years, the Frigbox refrigerator will be worth $880, the Arctic Air refrigerator will be worth $1420, and it will take 8 years for both refrigerators to have the same worth.

The function F(t) for the value of the Frigbox refrigerator, t years after it is purchased, can be calculated using the initial price of $1000 and the annual depreciation rate of $60:

F(t) = $1000 - $60t

The function A(t) for the value of the Arctic Air refrigerator, t years after it is purchased, can be determined using the initial price of $1720 and the annual depreciation rate of $150:

A(t) = $1720 - $150t

Using the functions above, after two years, the Frigbox refrigerator will have a value of $880 (F(2) = $1000 - $60*2 = $880), and the Arctic Air refrigerator will be worth $1420 (A(2) = $1720 - $150*2 = $1420). Then, after t years, both refrigerators will have the same worth when they are valued at:

F(t) = A(t)

Substituting the functions, we can solve for t:

$1000 - $60t = $1720 - $150t

Simplifying the equation, we find:

$90t = $720

t = 8

Therefore, after 8 years, both refrigerators will have the same worth.

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Two non-adjacent angles formed by two intersecting lines are vertical angles.

Below you can see a graph with two intersecting lines where 4 angles are formed.

There are two pairs of angles.

In the image:

Are adjacent.

Are vertical.

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The range of the function represented by the graph is 1 < y < 8

The domain of the function is the set of input values of the graph

The range of a function is the set of output values of the graph.

The graph represents the given parameters

On the graph, we have the following endpoints

Closed circle at (-13, 4)

Open circle at (11, 1)

Maximum = (4, 8)

The definition of the range implies that the range of a function is the set of y values of the graph.

Recall that

Closed circle at (-13, 4)

Open circle at (11, 1)

Maximum = (4, 8)

Remove the larger y value of the endpoints

Open circle at (11, 1)

Maximum = (4, 8)

Remove the x coordinates

So, we have

Open circle at (1)

Maximum = (8)

Combine the y values

1 < y < 8

Hence, the range of the function is 1 < y < 8

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Given, A random variable X takes a value k.Consider a sequence of independent coin flips with a coin that shows heads with probability p.Hence, for X to take the value k, there must be k heads and n - k tails.

The probability of k heads and n - k tails is:

\(P(X = k) = {n \choose k}p^{k}(1 - p)^{n-k}\)

Thus,  the probability of X taking the value k in a sequence of independent coin flips with a coin that shows heads with probability p is given by the formula

\(P(X = k) = {n \choose k}p^{k}(1 - p)^{n-k}\)

When the sequence of independent coin flips takes place and the coin shows heads with probability p, then X can take a value k only if there are k heads and n - k tails in the sequence. The probability of obtaining k heads and n - k tails is given by the binomial distribution formula. The formula takes the form:

\(P(X = k) = {n \choose k}p^{k}(1 - p)^{n-k}\)

where n is the number of flips, k is the number of heads, p is the probability of getting a head and 1-p is the probability of getting a tail.

Therefore, from the above explanation and derivation, we can conclude that the probability of X taking the value k in a sequence of independent coin flips with a coin that shows heads with probability p is given by the formula

\(P(X = k) = {n \choose k}p^{k}(1 - p)^{n-k}\)

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The line r has slope 6 and coordinates in the specified coordinate plane, based on the given dilation (0, 12)

Dilation:

Dilation is the scaling factor multiplied by the supplied line to line ratio.

Given

Line p in the coordinate plane has a y-intercept and a slope of 6. (0, 8). Line p is dilated by a factor of 4 with center to produce line r. (0, 4).

Here, we need to determine line r's slope and y-intercept.

Here, the scaling factor is known to be 4.

Consider the line r's slope, which won't change, and its intercept, which will be their ordinate added.

So, it can be written as,

=> Intercept = 8 + 4

=> Intercept = 12

Therefore, the line r has slope 6 and coordinate (0, 12).

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Answer: B

Step-by-step explanation:

\((x1,y1)=(5,4)\)

Point slope form:

\(y-y_{1}=m(x-x_{1} )\)

\(m=-\frac{2}{3}\)

Thus, we have:

\(y-4=-\frac{2}{3}(x-5)\)

Use Distributive property

\(y-4=-\frac{2}{3}x+\frac{10}{3}\)

Add 4 to both sides.

\(y=-\frac{2}{3}x+\frac{10}{3}+\frac{4}{1}\)

This equals:

\(y=-\frac{2}{3}x+\frac{10}{3}+\frac{12}{3}\)

\(y=-\frac{2}{3}x+\frac{22}{3}\)

We need to turn this into standard form.

\(Ax+By=C\)

Multiplying 3 to our original equation we have:

\(3y=-2x+22\)

Adding 2x to both sides, we get:

\(2x+3y=22\)

Therefore, the answer is B. Hope this helps!!!

The probability that x forms are required is known to be proportional to  c = 1/15.   c= 2/5  c= 3/5, c= 1.1

(a) Since the probabilities must sum to 1, we have:

pX(1) + pX(2) + pX(3) + pX(4) + pX(5) = c(1 + 2 + 3 + 4 + 5) = 15c

Therefore, c = 1/(1 + 2 + 3 + 4 + 5) = 1/15.

(b) The probability that at most three forms are required is:

P(X ≤ 3) = pX(1) + pX(2) + pX(3) = c(1 + 2 + 3) = 6c = 2/5.

(c) The probability that between two and four forms (inclusive) are required is:

P(2 ≤ X ≤ 4) = pX(2) + pX(3) + pX(4) = c(2 + 3 + 4) = 9c = 3/5.

(d) No, because the probabilities do not sum to 1:

Σ pX(x) from x = 1 to 5

= (1/50)(1 + 4 + 9 + 16 + 25)

= 55/50

= 1.1

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Answer:36

Step-by-step explanation: 3X4 or 3 rectangles plus tow rectanges that = 12

Answer:

Yeah people did not do this in 5th grade just to let you know

and just do the numbers pointing to the other numbers top to bottom

Step-by-step explanation:

Answer:

The answer is 3/8.

Hope this helped!!

Answer:

[3/3+5](2-(-14))+(-14)

Step-by-step explanation:

3:5 Ratio means that the m/m+n would be 3/3+5.

Then X2 is 2 and X1 is -14.

X2-X1 is 2-(-14)

Answer:

The value of x = 6

Step-by-step explanation:

=> 4(x + 2) = 32

=> 4x + 8 = 32

=> 4x = 32 - 8

=> 4x = 24

=> x = 24/4

=> x = 6

Answer:

15.7

Step-by-step explanation:

C = 2πr

C = 2(3.14)(2.5)

C = 15.7

Answer:

C. 10

Step-by-step explanation:

Answer:

C= 10

Step-by-step explanation:

Standard error of the proportion is 0.05.

A random sample of 60 beer drinkers was selected and according to the Beer Institute, craft beer now represents 28% of the market share of beer consumption. The formula for standard error of the proportion is:

`SEp = √pq/n`, where p is the proportion of success (in this case, 0.28 since it represents the proportion of craft beer drinkers), q = 1-p and n is the sample size (in this case, 60).Therefore, substituting the values given: `p = 0.28` and `q = 1 - 0.28 = 0.72`, `n = 60`SEp = √p q /n`= √(0.28)(0.72)/60`SEp = 0.051 or 0.05 (approx)

Hence, the standard error of the proportion is 0.05.

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Answer:

The answer is 6.

Step-by-step explanation:

A negative and a negative makes a positive when the problem is written as
x - (-x)

So 2 - (-4) equals 2 + 4

which is simply 6

Answer:

6

Step-by-step explanation:

Two negatives cancel out a positive.

2-(4) should turn into 2 +4

2+4 =6

Answer:

ye

Step-by-step explanation:

sorry!

Answer:

No

Step-by-step explanation:

Even though he has a 1/6 chance of rolling it he still has a 16.67% percent chance

Answer:

here's the sample answer!

Jamie is not correct. No matter how many times the cube is rolled, the probability of rolling a 5 will be 1/6.

Step-by-step explanation:

Based on the information provided, it is not clear what type of study the sales director is conducting. To determine the type of study, we need more specific details about the methodology and purpose of the study.  A survey involves collecting data by asking individuals a set of predetermined questions.

If the sales director is collecting data by asking participants about their opinions, preferences, or experiences, then it could be a survey.An observational study involves observing and recording data without intervening or manipulating any variables. If the sales director is simply observing and recording the sales behaviors and patterns of the sales team without any intervention.

An experiment involves manipulating variables and studying the effects on the outcome. If the sales director is testing different sales techniques or strategies by manipulating variables and measuring the impact on sales performance, then it could be an experiment.

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The sales director is conducting a survey. The sales director is conducting a survey to gather information from customers or other individuals. A survey is a useful research method for collecting data and gaining insights that can inform business decisions.

A survey is a research method that involves gathering information from a sample of individuals through the use of questionnaires, interviews, or online forms. It is commonly used to collect data on people's opinions, attitudes, behaviors, or characteristics.

In this case, the sales director is likely using a survey to gather information about customers, sales strategies, or market trends. Surveys can provide valuable insights that help businesses make informed decisions and improve their sales performance.

For example, the sales director may distribute a survey to customers to gather feedback on their satisfaction with the company's products or services. The survey could include questions about their buying preferences, reasons for choosing the company, or suggestions for improvement. By analyzing the responses, the sales director can identify areas of strength and areas that need improvement, ultimately helping to drive sales growth.

It is important to note that a survey is different from an observational study or an experiment. In an observational study, researchers simply observe and record data without intervening or manipulating variables. On the other hand, an experiment involves intentionally manipulating variables to determine cause-and-effect relationships.

In summary, the sales director is conducting a survey to gather information from customers or other individuals. A survey is a useful research method for collecting data and gaining insights that can inform business decisions.

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Answer: To match the shapes produced by the slice through the triangular prism, we need to consider the orientation of the slice relative to the prism. Here are the matching options:

A. Perpendicular to the base: Rectangle

B. Parallel to the base: Triangle with dimensions equal to the base

C. Diagonal from vertex to vertex: Triangle with unknown dimensions

Answer:

225 coins

Step-by-step explanation:

9----------4%

x------------100%

Cross multiplication

4x = 900

x=225