A bag contains seven tiles labeled B, C, D, E, F, G, and H. One tile will be randomly picked. What is the probability of picking a vowel?
Write your answer as a fraction in simplest form

Answer:

yes. ........ .........

Answer:

A B and C

Step-by-step explanation:

it's a simple question

The percentage of adults who planned to file their taxes electronically is approximately 63%.

A random telephone survey of 1,051 adults (aged 18 and older) was conducted by an online tax preparation and e-filing service. The survey results showed that 664 of those surveyed planned to file their taxes electronically.

Total number of adults surveyed = 1,051

Number of adults who planned to file their taxes electronically = 664

Percentage of adults who planned to file their taxes electronically is;

= (Number of adults who planned to file their taxes electronically / Total number of adults surveyed) x 100%

=(664/1051) x 100%

= 63.16 %

Therefore, the percentage of adults who planned to file their taxes electronically is approximately 63%.

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Answer:

dial it up

2:16

simplify

1:8

now multiply 8 by the number of gigs

2:16

3:24

and so on.....

ring ring

1:9

again multiply the cost by the number of gigs

2:18

3:27

and so on....

1. Objective Function and Constraints:

Maximize 2x1 + 3x2 + 5x3 subject to x1 + x2 + x3 ≤ 1500, x1 + x2 ≤ 1100, x2 ≤ 800, x3 ≤ 400.

2. Using Excel Solver, find the optimal allocation of funds.

3. The maximum value of the objective function is reported by Excel Solver.

We have,

Objective Function and Constraints:

Let:

x1 = amount spent on food

x2 = amount spent on shelter

x3 = amount spent on entertainment

Objective Function:

Maximize: 2x1 + 3x2 + 5x3 (since each dollar spent on food has a satisfaction value of 2, each dollar spent on shelter has a satisfaction value of 3, and each dollar spent on entertainment has a satisfaction value of 5)

Constraints:

Subject to:

x1 + x2 + x3 ≤ $1,500 (maximum disposable income)

x1 + x2 ≤ $1,100 (amount spent on food and shelter combined must not exceed $1,100)

x2 ≤ $800 (amount spent on shelter alone must not exceed $800)

x3 ≤ $400 (entertainment cannot exceed $400)

Using Excel Solver:

In Excel, set up a spreadsheet with the following columns:

Column A: Variable names (x1, x2, x3)

Column B: Objective function coefficients (2, 3, 5)

Column C: Constraints coefficients (1, 1, 1) for the first constraint (maximum disposable income)

Column D: Constraints coefficients (1, 1, 0) for the second constraint (amount spent on food and shelter combined)

Column E: Constraints coefficients (0, 1, 0) for the third constraint (amount spent on shelter alone)

Column F: Constraints coefficients (0, 0, 1) for the fourth constraint (entertainment limit)

Column G: Right-hand side values ($1,500, $1,100, $800, $400)

Apply the Excel Solver tool with the objective function and constraints to find the optimal allocation of funds.

Once the Excel Solver completes, it will report the maximum value of the objective function, which represents the optimal satisfaction value achieved within the given budget constraints.

Thus,

Objective Function and Constraints: Maximize 2x1 + 3x2 + 5x3 subject to x1 + x2 + x3 ≤ 1500, x1 + x2 ≤ 1100, x2 ≤ 800, x3 ≤ 400.

Using Excel Solver, find the optimal allocation of funds.

The maximum value of the objective function is reported by Excel Solver.

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From the calculations, the best loan option is

A. 3-year loan with a 7% annual simple interest rate

To determine which loan option would allow the customer to pay the least amount of interest, we need to compare the amount of interest charged by each loan option.

For the 3-year loan with a 7% annual simple interest rate,

the interest charged would be $15,000 x 7% x 3 = $2,550.

For the 4-year loan with a 5% annual simple interest rate,

the interest charged would be $15,000 x 5% x 4 = $3,000.

For the 5-year loan with a 4.5% annual simple interest rate,

the interest charged would be $15,000 x 4.5% x 5 = $3,375.

For the 6-year loan with a 3.7% annual simple interest rate,

the interest charged would be $15,000 x 3.7% x 6 = $3,870.

From the calculations, it is clear that the 3-year loan with a 7% annual simple interest rate would result in the least amount of interest charged, with $2,550.

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Answer:

I do believe that the answer is 30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

you set up the equation below to get you answer:

x+119+31 = 180

you solve this by adding together 119 and 31, and then subtract 180 by what you get from adding 119 and 31

119+31 = 150

180-150 = 30

therefore, x = 30

Answer:

last year = 530570

this year = 424456

decreased plants = 530570-424456 = 106114

decreased percent = 106114÷530570×100%

= 20%

therefore 20% is the decrease precent in the number of potted plants ordered anually

Answer:

  (-∞, -1) ∪ (-1, ∞)

Step-by-step explanation:

You want to know the domain of f(x) = (3x -7)/(x +1).

The domain of a function is the set of x-values for which it is defined. The function f(x) is defined for all real numbers except the value of x that makes the denominator zero: x = -1. In interval notation, that is ...

  (-∞, -1) ∪ (-1, ∞)

Answer:

Step-by-step explanation:

so if x is the money he had in the beginning, than

m=x-5(3.55)

m=x-$17.75

Answer: x=33/5

Step-by-step explanation:

5x-28=5

5x=33

x=33/5

Answer:

12 brown

Step-by-step explanation:

Answer:

Blue: 3. Green: 25. Brown: 12

Step-by-step explanation:

Total: Child: 36

         Teenager: 14

          Adult: 40

          Total: (On the bottom) 37, 25, 28

          So 90 people in total!

On solving the provided question, we can say that - Probability of ace on 1st card and king on 2ndis 4/663

A branch of mathematics known as probability measures the possibility of an event happening or a proposition being true. The probability of an occurrence is a number between 0 and 1, where roughly 0 denotes the event's improbability and 1 denotes certainty. A probability is a numerical representation of the possibility or probability that a specific event will take place. Probabilities can alternatively be stated as percentages ranging from 0% to 100%, or as percentages from 0 to 1.

probability of drawing a specific second card depends on the identity of the first card.

\(P(ace on 1st card and king on 2nd) = 4/663\\ P(king on 1st card and ace on 2nd) = 4/663\)

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The integral is convergent. To evaluate it, we use the formula for the integral of e^x, which is e^x + C. So, integrating e^-6p gives us (-1/6)e^-6p. Evaluating this from 0 to infinity, we get: (-1/6)e^-6(infinity) - (-1/6)e^0.

Since e^-6(infinity) approaches 0 as p approaches infinity, the first term becomes 0. Therefore, the integral evaluates to: (-1/6)e^0 = -1/6, So the quantity converges to -1/6.To determine whether the given integral is convergent or divergent, we need to analyze the integral: ∫[2, ∞] e^(-6p) dp.

To evaluate this integral, we first apply the Fundamental Theorem of Calculus. We find the antiderivative of e^(-6p) with respect to p, which is (-1/6)e^(-6p). Now, we need to evaluate the limit: lim (b → ∞) [(-1/6)e^(-6p)] [2, b].

When we take the limit as b approaches infinity, e^(-6p) approaches 0 because the exponent becomes increasingly negative. Thus, the integral is convergent.

To find the value of the convergent integral, we can calculate: ((-1/6)e^(-6*2)) - ((-1/6)e^(-6*∞)) = (-1/6)e^(-12) - 0 = (-1/6)e^(-12), So, the integral is convergent, and its value is (-1/6)e^(-12).

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Answer: a

Step-by-step explanation:

Given that a fishing boat F is 20 km away from S on a bearing of 095°. We have to mark the position of the fishing boat F with a cross. We have to determine the coordinates of F to mark its position.

To find the position of the fishing boat F, we have to use trigonometry, the Pythagoras theorem, and bearing.In right triangle OST: we have:SO = 20 kmOSB = 95°Using trigonometrytan(SOB) = BT / SOwhere BT = ST - BS = ST - (SO * tan(SOB))Using Pythagoras theorem:ST² = SO² + BT²ST² = 20² + (ST - 20 * tan(95°))²ST² = 400 + ST² - 40 * ST * tan(95°) + 400 * tan²(95°)ST² - ST² + 40 * ST * tan(95°) - 400 * tan²(95°) - 400 = 0

Solving the above quadratic equation using the quadratic formula:We get, ST ≈ 62.65 kmTherefore, the position of fishing boat F is approximately (x, y) = (30.54 km, 53.26 km)

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The boxplot which is reasonable to the summary of the data used to create the histogram is equals to boxplot A. So, correct answer is option (c).

Histogram is a graph which discribes the distribution of data by using of bars of different heights and same width. In this problem, we'll have a histogram and 3 box plots as box plot A, box plot B and box plot C, and we have to choose here which of these 3 box spots is a reasonable summary of the data. We can see that the histogram in above figure is skewed to left because it's maximum data present on the right end. The box plot C, is representing a normally distributed data, but are data is right side distributed so, it is wrong. Similarly, as we see box plot B shows distribution of data in left end, which is also not right choice. So, boxplot A is correct because it's showing the maximum data and the median where we have. We can see the median line over her median on the right hand. Thus, data is very highly negatively skewed hence boxplot A is appropriate.

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Complete question:

See the above figure, which box plot a, b, or c is a reasonable summary of the data used to create the histogram? there are 16 data points.

a) boxplot C

b) boxplot B

c) boxplot A

To determine whether the given mappings are injective or not, we need to check if each mapping satisfies the injective property. Hence,

Mapping f is injective.

Mapping g is not injective.

Mapping h is not injective.

To determine whether the given mappings are injective or not, we need to check if each mapping satisfies the injective property, which means that each element in the domain maps to a unique element in the codomain.

Mapping f: (0, +oo) → R, defined as f(x) = x × ln(x³):

To determine if f is injective, we need to check if different elements in the domain can map to the same element in the codomain.

Taking the derivative of f, we get f'(x) = 1 + 3ln(x³).

Since the derivative is positive for all x > 0, we can conclude that f is strictly increasing.

Therefore, different elements in the domain will map to different elements in the codomain.

Hence, f is injective.

Mapping g: (0, +[infinity]) → R, defined as g(x) = x × (x + sin(7x)):

To determine if g is injective, we need to check if different elements in the domain can map to the same element in the codomain.

Since the function includes the sine function, it can introduce periodic behavior and potentially map different elements to the same element.

Therefore, g is not injective.

Mapping h: (0, +[infinity]) → R, defined as h(x) = x × x + sin(7x):

Similar to the previous case, the presence of the sine function suggests the possibility of periodic behavior and non-injectiveness.

Therefore, h is not injective.

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To calculate the cost of 1 ap pound, we can use the unit price formula, which is:

Unit Price = Total Cost ÷ Total Quantity

the $64 strip loin weighs 13 lbs as purchased.

We can find the cost per pound using the unit price formula as follows:

Total Quantity = 13 lbsTotal Cost = $64Unit Price = Total Cost ÷ Total QuantityUnit Price

= $64 ÷ 13 lbsUnit Price = $4.92 per pound

Therefore, the cost of 1 ap pound of the $64 strip loin is $4.92.

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9% of 89

\( \frac{9}{100} \times 89\)

801/100

= 8.01

Answer:

the answer should be 16, if you're looking for X that is

Answer: \(\sqrt{73}\) for number 7

Step-by-step explanation:

a²+b²=c²

3²+8²=c²

9+64=c²

\(\sqrt{73}=\sqrt{c^2}\\\sqrt{73}=c\)

Answer:

x = 14

Step-by-step explanation:

add 6 to both sides:

8+6 = 6-6+x

14 = x

x = 14

Answer:

23

Step-by-step explanation:

The rewritten expression using a common factor is:

4x + 16 = 4*(x + 16)

Here we want to rewrite the expression:

4x + 16

Ussing a common factor, so let's factorize the terms.

The first one is simple:

4x = 4*x

The second one is also simple, we can write:

16 = 4*4

Then the common factor is 4, and we can rewrite the expression as:

4x + 16 = 4*(x + 16)

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Answer:  D) csc (2π/3)

Step-by-step explanation:

2π/3 is in Quadrant II

Quadrant II has a negative x-value and a positive y-value.

x-values are: cos & sec

y-values are: sin & csc

tan = y/x so will be negative in Quadrant II

A) sec = -

B) tan = -

C) cos = -

D) csc = +     this works!

Step-by-step explanation:

f(g(x))

means we have to calculate g(x) first, and then we use that result as input value for f and calculate that as the final result.

in general, the expression for that combined function is created by putting the expression of g(x) into every place of x in f(x) :

(f○g)(x) = f(g(x)) = 2(3x + 4) + 1 = 6x + 8 + 1 = 6x + 9

therefore,

f(g(8)) = 6×8 + 9 = 48 + 9 = 57

let's try it with basic steps :

g(8) = 3×8 + 4 = 24 + 4 = 28

and then

f(28) = 2×28 + 1 = 56 + 1 = 57

so, no, the showing number "21" is not correct.

I cannot see what you did to get 21.

the only way seems to be that you calculated f(8) = 17. and then you used this 17 to replace the whole 3x and not just x and got 17 + 4 = 21.

if that is what you did, you made 2 mistakes at once.

first you used 8 as input value for f(x) and not for g(x).

so, you tried to calculate g(f(8)).

and then, as mentioned, you replaced 3x (why ? what made you think that that's a valid thing) in g(x) by that result, instead of x.