professional tennis player serena williams has a career win record of 81%. if we took a simple random sample of 60 of her matches, what is the probability that at least 50 would be wins?

Answer:

1359.54m^3

Step-by-step explanation:

The formula for the volume of a triangular prism is:

1/2(\(b \times l )\times h\)

b= base

l = length

h= height

Step 1: Plug the numbers into the formula

1/2(12.6*13)*16.6

Step 2: Simplify

163.8*16.6

1359.54

Step 3: Add units

The units used in the question were in meters, so the answer is also in meters.

Volume is always cubed, so it would be to the third power...1359.54m^3

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Answer:

37

Step-by-step explanation:

10z=3 and z=4

substitute

10(4)-3

simplify

40-3

answer

37

a). The difference between the two population means is estimated at a location to be 2.7.

b). 49 different possible outcomes make up the t distribution. The margin of error at 95% confidence is 1.7.

c). The range of the difference between the two population means' 95% confidence interval is (0.0, 5.4).

d). The (0.0, 5.4) represents the 95% confidence interval for the difference among the two population means.

The variability or spread in a set of data is commonly measured by the standard deviation. The deviation between the values in the data set and the mean, or average, value, is measured. A low standard deviation, for instance, denotes a tendency for data values to be close to the mean, whereas a high standard deviation denotes a larger range of data values.

Using the equation \(x_1-x_2\), we can determine the point estimate of the difference between the two population means. In this instance, we calculate the point estimate as 2.7 by taking the mean of Sample

\(1(x_1=22.8)\) and deducting it from the mean of Sample \(2(x_2=20.1)\).

With the use of the equation \(df=n_1+n_2-2\), it is possible to determine the degrees of freedom for the t distribution. In this instance, the degrees of freedom are 49 because \(n_1\) = 20 and \(n_2\) = 30.

We must apply the formula to determine the margin of error at 95% confidence \(ME=t*\sqrt[s]{n}\).

The sample standard deviation (s) is equal to the average of \(s_1\) and \(s_2\) (3.4), the t value with 95% confidence is 1.67, and n is equal to the

average of \(n_1\) and \(n_2\) (25). When these values are entered into the formula, we get \(ME=1.67*\sqrt[3.4]{25}=1.7\).

Finally, we apply the procedure to determine the 95% confidence interval for the difference between the two population means \(CI=x_1-x_2+/-ME\).

The confidence interval's bottom limit in this instance is \(x_1-x_2-ME2.7-1.7=0.0\) and the upper limit is \(x_1+x_2+ME=2.7+1.7=5.4\).

As a result, the (0.0, 5.4) represents the 95% confidence interval for the difference among the two population means.

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Answer:

  no, the vertex of Function A is 6 units lower

Step-by-step explanation:

The vertex of Function A can be found several ways:

__

To put the equation in vertex form, we can consider separately the variabel terms and the constant. Once we have the variable terms separated, we can "complete the square" and then simplify the result to vertex form. The vertex form of a quadratic is ...

  y = a(x -h)² +k . . . . for vertical scale factor 'a' and vertex (h, k)

We have ...

  y = 2x² +12x +10

  y = 2(x² +6x) +10

We complete the square by adding the square of half the x-coefficient inside parentheses. We subtract the same quantity outside parentheses, so we don't change the equation any.

  y = 2(x² +6x +9) +10 -2(9)

  y = 2(x +3)² -8 . . . . . . simplify to vertex form

The vertex of Function A is (-3, -8), which is (-2 -(-8)) = 6 units lower than the vertex of Function B in the graph. Bob is incorrect.

__

The axis of symmetry of quadratic expression ax² +bx +c is x=-b/(2a). For the given Function A, the axis of symmetry is ...

  x = -12/(2(2)) = -3

The height of the vertex is the y-value for that x-value:

  y = 2(-3)² +12(-3) +10 = 18 -36 +10 = -8

This is lower than the vertex of the graphed function, which is at y=-2. Bob is incorrect.

__

The graph of Function A is the solid red curve in the attached. The graph of Function B is added as the dashed blue curve for reference. The graph clearly shows the vertex of Function A is lower than that of Function B. Bob is incorrect.

_____

Additional comment

Modern graphing calculators make the graphing option the quickest and easiest way to find the vertex of the function. The only "work" is to type the equation into the calculator.

Answer:

Measure of ladder is 11 m

Step-by-step explanation:

Here, we want to calculate the length of the ladder

From the description in the question, we have a right angled triangle with the length of the ladder forming the hypotenuse, which is the longest side of the triangle

So the height at which the top of the ladder is from the ground is 9 m

Thus mathematically;

we use the sine trigonometric tattoo to get the length of the ladder

sine = length of opposite/length of hypotenuse

sine 58 = 9/h

h = 9/sin 58

h = 10.612 meters

which to the nearest integer is 11 m

Explanation

Let the number of hours Joe worked at the first job be x while the number of hours he worked at the second job be y.

Therefore, since he works 20 hours per week, we can say that

Also, since he made $127 in a week;

Isolate for x in equation one.

Substitute the above in equation 2.

Also,

Answer: Job A= 10 hours

Job B= 10 hours

Answer:

r = -7

Step-by-step explanation:

r-4+6r = 3+8r

Combine like terms.

7r-4 = 3+8r

Separate the terms with the like terms together.

-4-3 = 8r-7r

Simplify.

r = -7

The yield to maturity of a coupon bond can be determined by solving for the discount rate that equates the present value of the bond's future cash flows to its current market price. In this case, with a coupon bond priced at $4000, a term of 4 years, a face value of $7000, and a coupon rate of 4 percent, the yield to maturity can be calculated.

The yield to maturity (YTM) is the annualized rate of return an investor would earn by holding the bond until its maturity date. To calculate the YTM, we need to find the discount rate that makes the present value of the bond's cash flows equal to its market price.

The cash flows of the bond consist of the periodic coupon payments and the face value received at maturity. In this case, the bond has a coupon rate of 4 percent and a face value of $7000. The coupon payment can be calculated as 4% of $7000, which equals $280 per year. The bond has a term of 4 years, so there will be four coupon payments of $280 each. At maturity, the bondholder will also receive the face value of $7000.

To calculate the present value of the bond, we discount each cash flow using the discount rate. The discount rate represents the yield to maturity that we want to find. By trial and error or by using financial calculators or software, we can find that the yield to maturity for this bond is approximately 7.33 percent. Therefore, the yield to the nearest hundredth of a percent is 7.33%.

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Answer:

If a relationship between two quantities is not proportional then when the fraction is reduced there should not be an equal ratio and the graph should not be a line that passes through the origin.

The equality holds true for the values of resulting vector is: ⟨t - 4, 2s t⟩ = ⟨-3, 2/3⟩ for s = 1/3, t = 1,

⟨t - 4, 2s t⟩ = ⟨-9, 4⟩ for s = 2, t = -1 and

⟨t - 4, 2s t⟩ = ⟨-47/6, -5⟩ for s = 3, t = -5/6

The given equality is:

⟨t−4,2s t⟩=⟨s 3t,3t−2⟩

This means that the components of the two vectors on both sides must be equal. Thus we have:

t - 4 = s * 3t .......(1)

2s t = 3t - 2 .......(2)

From equation (2), we get:

t = (3 - 2s)/(2s) ......(3)

Substituting the value of t from equation (3) into equation (1), we get:

(3 - 2s)/(2s) - 4 = s * 3((3 - 2s)/(2s))

Simplifying this equation, we get:

3s^3 - 20s^2 + 27s - 18 = 0

This is a cubic equation, which can be solved to obtain the values of s. After solving the equation, we get:

s = 1/3, 2, 3

Substituting these values of s into equation (3), we get the corresponding values of t:

s = 1/3 => t = 1

s = 2 => t = -1

s = 3 => t = -5/6

Therefore, the equality holds true for s = 1/3, t = 1; s = 2, t = -1; and s = 3, t = -5/6.

For these values of s and t, the resulting vector is:

⟨t - 4, 2s t⟩ = ⟨-3, 2/3⟩ for s = 1/3, t = 1

⟨t - 4, 2s t⟩ = ⟨-9, 4⟩ for s = 2, t = -1

⟨t - 4, 2s t⟩ = ⟨-47/6, -5⟩ for s = 3, t = -5/6

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Answer:

30000000 x 200 = 6,000,000,000

Step-by-step explanation:

The 20° angle is equal to the angle next you friend.

since they are interior alternate angles

The height of the ballon is 600 feet

Let x be the missing distance we are looking for

so the missing distance is 1754 feet

Here I represented the situation to visualize the problem

Let h be L be the length of the ladder

so the ladder is 14 ft

A) The average energy lost to ions in the second of two collisions separated by a time t is (eEt)2 2m is (1/3) (eEt)2 / m

B) The average energy loss to the ions per collision is (eEt)2/m is (ne2 / m) E2

In the Drude model, collisions between electrons and ions can cause energy loss, and this loss can be calculated using the average energy lost per collision. Specifically, if an electron experiences two collisions separated by a time t, the average energy lost to the ions in the second collision can be calculated.

We can use the formula for the energy gained by an electron in a uniform electric field: ΔE = eEt, where e is the charge of an electron, E is the electric field strength, and t is the time during which the electron experiences the field.

To do this, we can use the fact that the mean free path of an electron in a metal, before it experiences a collision, is given by λ = vτ, where v is the mean speed of the electron and τ is the average time between collisions.

The average energy lost in the second collision, over all directions of motion, is then given by:

(1/4π) ∫∫ ΔE2 (cosθ) dΩ

where θ is the angle between the direction of motion before the first collision and the direction of motion after the second collision, and dΩ is an element of solid angle. The factor (cosθ) accounts for the projection of the energy loss along the direction of motion.

After some calculations, we obtain the result:

(1/3) (eEt)2 / m

where m is the mass of an electron. This is the average energy lost to the ions in the second collision, over all possible directions of motion.

To answer part (b) of the question, we need to use the result of Problem 1(b), which states that the average time between collisions is given by τ = m/(ne2), where n is the number density of electrons in the metal. Using this formula, we can express the average energy loss per collision as:

(eEt)2 / mτ = (eEt)2 / (m^2 / ne2) = ne2 (eEt)2 / m

This is the average energy lost to the ions per collision, and we can use it to calculate the average loss per unit volume of the metal, which is given by:

(ne2 / m) E2

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Answer:

Brand B is the better price because it is approx $0.13 per pencil, and Brand A is more expensive because it is $0.17 per pencil.

Step-by-step explanation:

Brand A:

7.97/48 = 0.16604166666 = approx $0.17 per pencil

Branch B:

9/72 = 0.125 = approx $0.13 per pencil

Brand B is the better price because it is approx $0.13 per pencil and Brand A is more expensive because it is $0.17 per pencil.

Answer:

slope = - \(\frac{13}{28}\)

Step-by-step explanation:

calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (17, - 6 ) and (x₂, y₂ ) = (- 11, 7 )

m = \(\frac{7-(-6)}{-11-17}\) = \(\frac{7+6}{-28}\) = - \(\frac{13}{28}\)

Answer:

10 units²

Step-by-step explanation:

In the second photo.

The total number of roots for the given polynomial is for f(x)= 3x^6+2x^5+x^4-2x^3+6 is 6  and for g(x) =  5x-12x^2+3 is 2

Since for finding the number of roots, we just  need to see what is the degree fro the given polynomial, where the degree of the polynomial is nothing but the highest exponent.For the function f (x) = 3x6 2x5 x4 - 2x3, here the degree is 6, and the respective function is having 6 numbers of roots, which be real roots and complex roots too.For the function g(x) =  5x-12x^2+3, here the degree is 2, so the respective function has 2 roots.

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Answer:

f (x) = 3x6 + 2x5 + x4 - 2x3 = 6 roots g(x) = 5x - 12x2 + 3 = 2 roots f (x) = (3x4 + 1)2 = 8 roots g(x) = (x - 5)2 + 2x3 = 3 roots

Answer:

q = 2p - r - s

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

2p - q = r + s

Step 2: Solve for q

Answer:

\(f^{8} + 7\)

Step-by-step explanation:

Answer:

$ 4500

Step-by-step explanation:

Dejar;

Principal sea P

El tiempo sea T

Tasa sea R

Interés sea yo

De la pregunta;

R = 8%, T = 1 año, I = $ 360, P =?

De;

I = PRT / 100

100I = PRT

P = 100 I / RT

P = 100 * 360/8 * 1

P = $ 4500

S" > 0 indicates that the rate of change of sales is increasing.

What is rate?

A rate is a measure of the amount of change of one quantity with respect to another quantity, typically expressed as a ratio.

The derivative of a function represents its rate of change at a particular point. In this case, S represents the monthly sales of Bluetooth headphones, and its derivative S' represents the rate of change of sales. If S' is increasing, it means that the rate of change of sales is getting larger over time.

Mathematically, this means that the second derivative S" (which represents the rate of change of the rate of change) is positive, since an increasing slope of the original function (S') corresponds to a positive value for the second derivative.

Therefore, S" > 0 indicates that the rate of change of sales is increasing.

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Answer:

Maybe -2,0,2,4 but I'm not sureee

Eekkkkk sorryy

Answer:

24

Step-by-step explanation:

8 - (3x-2)2 for x =-2

8 - (-6 -2)2

8 - (-8)2

8 - (-16)

8 + 16 = 24

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Answer:

24

Step-by-step explanation:

8-(3x-2)2

Multiply 3 and -2

8-(3(-2)-2)2

You should get 8-(-6-2)2

Subtract -6 from 2. You should get -8

8-(-8)2

Since there are 2 negatives your 8 will become a positive and your subtraction sign will become a addition sign.

8+8*2

You should get 8+16

16 plus 8 equals 24.

Therefore, your answer is 24

If the series ∑an and ∑bn are both convergent series with positive terms, then the series ∑anbn is also convergent.

This can be proven using the Comparison Test for series convergence. Since an and bn are both positive terms, we can compare the series ∑anbn with the series ∑an∑bn.

If ∑an and ∑bn are both convergent, then their respective partial sums are bounded. Let's denote the partial sums of ∑an as Sn and the partial sums of ∑bn as Tn.

Then, we have:

0 ≤ Sn ≤ M1 for all n (Sn is bounded)

0 ≤ Tn ≤ M2 for all n (Tn is bounded)

Now, let's consider the partial sums of the series ∑an∑bn:

Pn = a1(T1) + a2(T2) + ... + an(Tn)

Since each term of the series ∑anbn is positive, we can see that each term of Pn is the product of a positive term from ∑an and a positive term from ∑bn.

Using the properties of the partial sums, we have:

0 ≤ Pn ≤ (M1)(Tn) ≤ (M1)(M2)

Hence, if ∑an and ∑bn are both convergent series with positive terms, then ∑anbn is also convergent.

Therefore, the given statement is True.

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The minimum distance you can park from a driveway leading from a fire department can vary depending on the local laws and regulations in your area.

However, it is important to keep in mind that fire departments need clear and unobstructed access to their driveways at all times, in case of an emergency.
In many areas, the law requires a minimum distance of 20 feet from the edge of a fire department driveway to the nearest parked vehicle. This distance allows fire trucks and emergency vehicles enough space to turn, enter, and exit the driveway without any obstruction or delay.
It is also important to note that blocking a fire department driveway can result in a hefty fine or even a vehicle being towed away. This is because obstructing the entrance and exit to a fire department can cause unnecessary delay, which can be dangerous or even fatal in emergency situations.
Overall, it is important to always be aware of your surroundings and the laws in your area when parking near a fire department or any other emergency service. By doing so, you can ensure the safety and accessibility of these essential services at all times.

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a) The percentage increase in sales from 2004 to 2014 for Company A was 21.25%.

b) The company that had the most sales per worker in 2014 was Company A.

The percentage increase refers to the amount of increase (that is the difference between the current value and the initial value) divided by the initial value, multiplied by 100.

Percentage increases are determined as the quotients of division operations, which are multiplied by 100 to express the value in percentage terms.

a) Percentage increase in sales from 2004 to 2014 for Company A:

Sales increase = $68 ($388 - $320)

Percentage increase = 21.25% ($68/$320 x 100)

b) Sales per Worker in 2014:

Company A = $121,250 ($388,000,000/3,200)

Company B = $89,062.50 ($57,000,000/640)

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                    Company A                                      Company B

              Sales        Number of Workers        Sales       Number of Workers

           ($ millions)                                        ($ millions)

2004      $320               2,960                        $48                   605

2014         388               3,200                           57                   640

(b) Which company had the most sales per worker in 2014. Company A or Company B?

Answer:

C. y = 1/4x -2

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