A select soccer team had tryouts for the upcoming season. The team typically has 25% of the players in the tryouts process come back for a second evaluation. If the team asked 17 players back for a second evaluation, how many players showed up for the first tryout

Answer:

To graph the inequality y ≤ x - 2 on the axes, you would:

Plot the line y = x - 2 on the graph. The line will be a straight line passing through the point (-2,0) and has a slope of 1.

Determine the direction of the inequality symbol. Since it is a less-than-or-equal-to symbol, we will shade the region that is less than or equal to the line.

Shade the region that is less than or equal to the line in the graph. In this case, the region above the line y = x - 2.

The line is solid, it's not dotted.

Note: The graph will be a straight line that is tilted towards the top right of the coordinate axes, the region above the line will be shaded.

Step-by-step explanation:

The area of the 125 degree sector for a circle with a radius of 12 m is approximately 158 square meters.

To find the area of a 125 degree sector of a circle with a radius of 12 m, we need to use the formula for the area of a sector:

Area of sector = (θ/360) x πr², where θ is the central angle of the sector, r is the radius of the circle, and π is a constant equal to approximately 3.14.

Substituting the given values, we get: Area of sector = (125/360) x π x 12² = (0.3472) x π x 144 = 158.03

Rounding to the nearest whole number, we get the area of the sector as 158 square meters. Therefore, the area of the 125 degree sector for a circle with a radius of 12 m is approximately 158 square meters.

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Answer:

im guessing you add the overtime work money to the weeks normal wage, which would be 192.5$.

Step-by-step explanation:

6.5 hours x 5/hr$ = 32.5$ + 160$

Answer: 28 y

Step-by-step explanation: All you really have to do is multiply 7 by 4y. 7(4y) 28y

Answer:

6$

Step-by-step explanation:

1 turkey sub = 26-20

= 6$

I hope it helps.

Answer:

the tim age is 6 years

Step-by-step explanation:

The computation of the tim age is shown below:

Given that

Sam age is 42 years

And, sam would be 7 times than the tim age

Based on the above information

The tim age would be

= sam age ÷ number of times

= 42 ÷ 7

= 6 years

hence, the tim age is 6 years

The same should be considered

we get,$$a ≈ 17.011$$Therefore, the length of side a is ≈ 17.011.Hence, option (A) is the correct answer.

The Law of Cosines states that in a triangle with sides of lengths "a," "b," and "c" and opposite angles "A," "B," and "C" respectively, the following equation holds:

\(c^2 = a^2 + b^2 - 2ab * cos(C)\)

To find the length of side "a," you would rearrange the equation as follows:

\(a^2 = b^2 + c^2 - 2bc * cos(A)\)

Then, take the square root of both sides to isolate "a":

\(a = √(b^2 + c^2 - 2bc * cos(A))\)

Once you have the values for "b," "c," and angle "A," you can substitute them into the equation and calculate the length of side "a."

Please provide the values for "b," "c," and angle "A" in order for me to assist you further

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Answer:

Step-by-step explanation:

To solve the given equation \(\sf x - y = 4 \\\), we can perform the following calculations:

a) To find the value of \(\sf 3(x - y) \\\):

\(\sf 3(x - y) = 3 \cdot 4 = 12 \\\)

b) To find the value of \(\sf 6x - 6y \\\):

\(\sf 6x - 6y = 6(x - y) = 6 \cdot 4 = 24 \\\)

c) To find the value of \(\sf y - x \\\):

\(\sf y - x = - (x - y) = -4 \\\)

Therefore:

a) The value of \(\sf 3(x - y) \\\) is 12.

b) The value of \(\sf 6x - 6y \\\) is 24.

c) The value of \(\sf y - x \\\) is -4.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

(-infinity, 1)

Step-by-step explanation:

According to the graph, the largest value y can take on is +1.  

Thus, the range of this function is (-infinity, 1)

Answer:

A

Step-by-step explanation:

true true true true true true

Answer:

False

Step-by-step explanation:

In order to tell if an inverse is a function, you have to do the horizontal line test. Create an imaginary line going horizontally on the map and if the graphed function goes through more than one line, then the inverse won't be a function. There can only be one point going through the imaginary line. Does that make sense?

The symmetry of the distribution depends on the probability of success and the number of trials, as it can be skewed when the probability of success is not equal to 0.5.

A binomial experiment is characterized by certain features, and among the statements provided, the two that accurately describe these features are:
1. Trials are independent: In a binomial experiment, each trial is conducted independently of one another, meaning the outcome of one trial does not affect the outcome of any other trial. This independence ensures that the probability of success remains constant across all trials.
2. The outcome of a trial can be classified as either a success or a failure: In a binomial experiment, there are only two possible outcomes for each trial - success or failure. This simplifies the experiment's setup and makes it easier to calculate probabilities, as it focuses on the number of successful outcomes out of a fixed number of trials.
The other two statements are not accurate descriptions of a binomial experiment. The trials do not represent selection without replacement, and the distribution is not always symmetrical.

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Answer:

59400

Step-by-step explanation:

59407

4 is the hundredth

0 is the number before 4 so it doesn't round up

so it's 59400

Answer:

59,400

Step-by-step explanation:

If it were 59,450 then it would be 59,500 but it is 59.407 witch would mean we are rounding down to 59,400

the answer is 3x²

Step-by-step explanation:

we know that k = 3x

when we look at the actual equasion we can se that y = kx, meaning we have to multiply x by 3x which would give us 3x²

Answer:  the answer is 3x^2 three x to the power of 2

The value of inductor is $L = 408.25 mH. The value of L is 408.25 mH.

Given transfer function is as follows: \frac{V_{2}(s)}{V_{1(s)}} = \frac{2s}{s^2+2s+6}

Now, comparing the given transfer function with a general second order transfer function of the form:

\frac{V_{out}(s)}{V_{in}(s)} = \frac{ω_n^2}{s^2 + 2ζω_n s + ω_n^2}

We get the following values:

ω_n^2 = 6, and 2ζω_n = 2$So, we have ζ = \frac{1}{\sqrt{6}}

Now, the circuit can be represented in Laplace domain as follows:

V_1(s) - I(s)R - \frac{1}{sC}V_2(s) = 0\Rightarrow V_1(s) - I(s)R = \frac{V_2(s)}{sC}Also, we have $$I(s) = \frac{V_2(s)}{Ls}

Solving these equations, we get:

\frac{V_2(s)}{V_1(s)} = \frac{s^2}{s^2 + \frac{sR}{L} + \frac{1}{LC}}\frac{2s}{s^2+2s+6} = \frac{s^2}{s^2 + \frac{sR}{L} + \frac{1}{LC}}

Comparing the above two equations, we get:

\frac{sR}{L} = 2, \frac{1}{LC} = 6\ Rightarrow R = 2\sqrt{6}L, \text{ and } \frac{1}{LC} = 6\ Rightarrow C = \frac{1}{6L^2} = 500\mu F

Solving, we getL = 408.25mH

Hence, the value of inductor is $L = 408.25 mH$. Therefore, the value of L is 408.25 mH.

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Answer:

153.86

Step-by-step explanation:

formula - πr²

= 3.14 * 7²

= 153.86

The missing number in the unit conversion problem is composed as follows:

9 ft = 108 inches.

The missing number is obtained applying the proportions in the context of the problem.

The unit conversion rate between ft and inches is given as follows:

1 feet = 12 inches.

Hence the number of inches in 9 feet is obtained multiplying 9 by 12, as follows:

9 x 12 = 108 inches.

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We need approximately 10 deposits to reach a balance of $31,300 four years after the last deposit which is compounded semi-annually.

To solve this problem, we can use the formula for the future value of an annuity:

\(FV = P * ((1 + r)^n - 1) / r\)

Where:

FV is the future value of the annuity

P is the periodic payment or deposit amount

r is the interest rate per period

n is the number of periods

In this case, the deposit amount is $726.56, the interest rate is 6.45% compounded semi-annually, and the future value is $31,300. We need to find the number of deposits (n).

We can rearrange the formula and solve for n:

n = log((FV * r) / (P * r + FV)) / log(1 + r)

Substituting the given values:

n = log((31,300 * 0.03225) / (726.56 * 0.03225 + 31,300)) / log(1 + 0.03225)

Using a calculator or software, we find that n ≈ 9.989.

Therefore, we need approximately 10 deposits to reach a balance of $31,300 four years after the last deposit.

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The estimate for the area under the graph of \(f(x) = x^2 + 4x\) from x = 5 to x = 11 using 3 approximating rectangles and left endpoints is 478

Let's calculate the width of each rectangle first. Since we have three subintervals of equal length, the width of each rectangle is (11 - 5) / 3 = 2.

Next, we'll find the left endpoints of each subinterval to determine the heights of the rectangles. The left endpoint of the first subinterval [5, 7] is x = 5, the left endpoint of the second subinterval [7, 9] is x = 7, and the left endpoint of the third subinterval [9, 11] is x = 9.

Now, we can calculate the heights of the rectangles by substituting the left endpoints into the function\(f(x) = x^2 + 4x.\) For the first rectangle, with x = 5, the height is f(5) = \(5^2 + 4(5) = 25 + 20 = 45.\)

For the second rectangle, with x = 7, the height is \(f(7) = 7^2 + 4(7) = 49 + 28 = 77\). For the third rectangle, with x = 9, the height is \(f(9) = 9^2 + 4(9) = 81 + 36 = 117.\)

Now, we can calculate the area of each rectangle by multiplying the width and height of each rectangle. For the first rectangle, the area is 2 * 45 = 90 For the second rectangle, the area is 2 * 77 = 154. For the third rectangle, the area is 2 * 117 = 234.

Finally, we can estimate the area under the graph of \(f(x) = x^2 + 4x\) from x = 5 to x = 11 by summing up the areas of the three rectangles: Estimated area = 90 + 154 + 234 = 478.

Therefore, the estimate for the area under the graph of \(f(x) = x^2 + 4x\)from x = 5 to x = 11 using 3 approximating rectangles and left endpoints is 478

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Answer:

its A

Step-by-step explanation:

8-3=5 and 9/10-4/10=5/10=1/2

Answer:

A. 5 1/2

Step-by-step explanation:

\(8\frac{9}{10}-3\frac{4}{10}\\\text{Convert the mixed numbers into improper fractions.}\\(\frac{80}{10}+\frac{9}{10})-(\frac{30}{10}+\frac{4}{10})\\\text{Combine the fractions.}\\\frac{89}{10}-\frac{34}{10}\\\text{Since the denominators are the same, simply subtract the numerators.}\\\frac{89-34}{10}\\\frac{55}{10}\\\text{Split the fraction into two so one part becomes a whole number.}\\\frac{50}{10}+\frac{5}{10}\\\text{Evaluate 50 over 10.}\\5+\frac{5}{10}\\\text{Simplify the fraction 5/10.}\\\)

\(5+\frac{5/5}{10/5}\\5+\frac{1}{2}\\\text{Combine the mixed number.}\\5\frac{1}{2}\)

Answer:

31 inches

Step-by-step explanation:

you can get this answer by 2 ways. one is using number patterns.

find the difference between each of the heights.

13-10=3

16-13=3

19-16=3

therefore the common difference is 3

now create a number pattern.

first term + common difference× (n-1)= nth term

a+(n-1)d

let's check this with the 2nd month

10+ 3× (2-1)

10+3=13

in second month 13 inches

so this pattern works

let's find the height in 8th month

10+ 3(8-1)

10+ 21=31 inches

height in 8th month is 31 inches.

you can find this by just adding too. but forming an equation is always good and safe

Answer:

-2

Step-by-step explanation:

The value of a. P(x > 1,050) = 0.4013, b. P(x < 960) = 0.4207, c. P(x > 1,100) = 0.3085.

a. To find P(x > 1,050), we need to standardize the value of x using the formula:

z = (x - µ) / σ

where µ is the mean of the population and σ is the standard deviation.

In this case, µ = 1000 and σ = 200.

z = (1,050 - 1,000) / 200 = 0.25

Using a standard normal distribution table or calculator, we can find that the probability of z being greater than 0.25 is approximately 0.4013.

Therefore, P(x > 1,050) = 0.4013.

b. To find P(x < 960), we again need to standardize the value of x:

z = (x - µ) / σ

z = (960 - 1000) / 200 = -0.2

Using the same table or calculator, we can find that the probability of z being less than -0.2 is approximately 0.4207.

Therefore, P(x < 960) = 0.4207.

c. To find P(x > 1,100), we standardize x:

z = (x - µ) / σ

z = (1,100 - 1,000) / 200 = 0.5

Using the table or calculator, we can find that the probability of z being greater than 0.5 is approximately 0.3085.

Therefore, P(x > 1,100) = 0.3085.

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Answer:

(1, 1)

Step-by-step explanation:

if you do not want to graph it then you can substitute 'x' and 'y' values and check:

does 2(5) + 3(5) equal 5?  NO

does 2(1) + 3(2) equal 5?  NO

does 2(1) + 3(1) equal 5?  YES

does 2(2) + 3(5) equal 5?  NO

Answer:

245, 3, 453

Step-by-step explanation:

-11 squared = 121

121 multiplied by 2 = 242

242 + 3 = 245

0 squared is 0

0 multiplied by 2 = 0

0 + 3 = 3

15 squared is 225

225 multiplied by 2 = 450

450 + 3 = 453

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(a) The volume of the prism is 144 cubic units. (b) Area of shaded base is 16 square units. Volume of prism is 144 cubic units. Both methods give the same result for the volume of the prism.

A rectangular prism is a three-dimensional geometric figure that consists of six rectangular faces that meet at right angles. It is also known as a rectangular cuboid or a rectangular parallelepiped. The rectangular prism is a special case of a parallelepiped, where all six faces are rectangles.

The rectangular prism has three pairs of parallel faces, each pair being congruent to each other. The length, width, and height of a rectangular prism are its three dimensions, and they are usually denoted as l, w, and h respectively.

(a) The expression to find the volume of the prism is:

Volume of prism = length x width x height

Substituting the given values, we get:

Volume of prism = 8 x 2 x 9 = 144 cubic units

(b) The shaded base of the prism is a rectangle with dimensions 8 by 2. Therefore, the area of the shaded base is:

Area of shaded base = length x width = 8 x 2 = 16 square units

We can also find the volume of the prism by multiplying the area of the shaded base by the height of the prism. The expression to find the volume of the prism using the area of the shaded base is:

Volume of prism = area of shaded base x height

Substituting the values, we get:

Volume of prism = 16 x 9 = 144 cubic units

As expected, both methods give the same result for the volume of the prism.

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The correct answers are -

1. Probability of drawing a yellow is 12/99

2. Odds in favour of drawing are 12/87

3. Probability and odds are related through favourable and unfavourable outcomes.

Firstly calculating the total number of candies.

Total number of candies = 115 + 75 + 95 + 60 + 45 + 50 + 55

Performing addition on Right Hand Side of the equation

Total number of candies = 495

Now, the probability of drawing a yellow = number of yellow candies ÷ total number of candies

Probability of drawing a yellow = 60 ÷ 495

Performing division on Right Hand Side of the equation

Probability of drawing a yellow = 0.12

Now, for calculation of second part and answer of third part, relating the probability and odds.

Odds = favourable outcomes ÷ non favourable outcomes

Simplifying the probability in fractional form = 12/99

Favourable outcomes = 12

Non favourable outcomes = 99 - 12

Non favourable outcomes = 87

Odds = 12/87

Thus, probability is 0.12 and odds are 12/87.

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The complete question is attached in the figure.

The probability of choosing a 't' or an 'e' from the word 'committee' = 4/9

We know that the formula for the probability of an event is given by,

P = number of favourable outcomes / total number of possible outcomes of an event

Let us assume that event A : choosing a letter 't'  from the word 'committee'

and event B: choosing a letter 'e' from the word 'committee'

Here, sample space is the number of letters in the the word 'committee'

So, n(S) = 9

We know that there are two 't' letters in the the word 'committee'

So, n(A) = 2

And there are 2 'e'  letters in the the word 'committee'

So, n(B) = 2

To find the required probability, the number of favourable outcomes

= 2 + 2

= 4

So, the required probability would be:

P = 4/9​

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The rate of simple interest is 0.05, which is equivalent to 5% when expressed as a percentage.

To calculate the rate of simple interest, we can use the formula:

Interest = Principal * Rate * Time

Given that Hilaria borrowed $8,000 and paid back $1,600 in interest after four years, we can set up the equation:

$1,600 = $8,000 * Rate * 4

Divide both sides of the equation by $8,000 * 4

$1,600 / ($8,000 * 4) = Rate

Simplifying the equation: 0.05 = Rate

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Answer:

How can we do collaboration

Answer:

it depends on what kind of math you're learning because I got 360y2

Given the hypotheses H0: μ ≤ 6 and Ha: μ > 6, this is a right-tailed test. So, the correct answer is B. right-tail.

The hypotheses given are about the population mean μ being either less than or equal to 6 (null hypothesis, H0) or greater than 6 (alternative hypothesis, Ha). The alternative hypothesis Ha indicates a one-sided or directional hypothesis because it specifies a particular direction of change (i.e., increase) in the population mean.

In this case, the test is a right-tailed test because the alternative hypothesis indicates that the population mean is greater than the null hypothesis value of 6. A right-tailed test is used when the alternative hypothesis suggests that the population parameter of interest is greater than the null hypothesis value.

Therefore, the answer is B. right-tail.

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