please help! thank you. ​

The player who has the better record between Jamal and Brian as required in the task content is; Jamal.

It follows from the task content that the player who has the better record between Jamal and Brian is to be determined.

Since it is given that Jamal and Brian 7/9 and 5/8 of their free throws respectively;

It follows that when expressed as a percentage; we have;

For Jamal;

7 / 9 × 100% = 77.78%

For Brian;

5 / 8 × 100% = 62.5%.

Ultimately, the player who has the better record for free throws is; Jamal since he has a greater percentage success rate for free throws.

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7.7 in

Explanation

Step 1

Let

AB=5.1( black)

BC=2.6(red)

AC=?

AC is the line that goes from A to C, (blue)

Also

Step 2

replace

so, the answer is 7.7

The graph which represents the function; y = 2 x - 2 is the second graph from the left.

By considering the slope-intercept form of the equation of a straight line;

By observation, the graph of the function has y-intercept, -2 and has slope, m = 2

The graph most comparable to the information above is the third graph and hence is the graph of the function.

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Answer:

3rd one or c

Step-by-step explanation:

It conclude the Tyson-brand exceeds proportion of Perdue-brand chickens testing positive.

The test statistic and p-value are 2.33 and 0.0001 respectively.

The p-value < significance level, reject null hypothesis.

To test the hypothesis,

The proportion of Tyson-brand chickens testing positive exceeds the proportion of Perdue-brand chickens testing positive,

Use a two-proportion z-test. Let us state the relevant hypotheses.

Null Hypothesis (H₀),  p₁ ≤ p₂

Alternative Hypothesis (H₁), p₁ > p₂

Where

p₁ = Proportion of Perdue-brand chickens testing positive

p₂ = Proportion of Tyson-brand chickens testing positive

Now, let us calculate the test statistic and p-value,

First, calculate the sample proportions,

p₁ = 35/80

   = 0.4375 (proportion of Perdue-brand chickens testing positive)

p₂= 66/80

   = 0.825 (proportion of Tyson-brand chickens testing positive)

Next, calculate the standard error (SE) of the difference between two proportions,

SE = √[(p₁ × (1 - p₁) / n₁) + (p₂ × (1 - p₂) / n₂)]

= √[(0.4375 × (1 - 0.4375) / 80) + (0.825 × (1 - 0.825) / 80)]

≈ 0.0844

Then, calculate the test statistic (z),

z = (p₁ - p₂) / SE

= (0.4375 - 0.825) / 0.0844

≈ -4.5821

Using a significance level of 0.01, the critical z-value for a one-tailed test is approximately 2.33 using z-calculator.

Finally, calculate the p-value associated with the test statistic.

p-value = P(Z > -4.5821)

Using a z-calculator, find that the p-value is very close to 0 (p-value < 0.0001).

Interpreting the results,

Since the p-value (0.0001) is less than the significance level (0.01), we reject the null hypothesis.

Therefore, sufficient evidence to conclude proportion of Tyson-brand chickens testing positive exceeds proportion of Perdue-brand chickens testing positive.

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The above question is incomplete, the complete question is:

An article in the publication Consumer Reports reported the following data: * 35 of 80 randomly selected Perdue-brand chickens tested positive for campylobacter bacteria, salmonella bacteria, or both. * 66 of 80 randomly selected Tyson-brand chickens tested positive for campylobacter bacteria, salmonella bacteria, or both. From these data, would you conclude that the proportion of Tyson-brand chickens that test positive exceeds the proportion of Perdue-brand chickens that test positive.

Carry out a test of hypotheses using a significance level 0.01. (Use p1 for Brand A and p2 for Brand B.)

State the relevant hypotheses.

Calculate the test statistic and P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.)

To find the conditional probability of the event that the sum is 3, given that the green dice is either 1 or 2, we can use Bayes' theorem. Let's denote the event that the sum is 3 as A and the event that the green die is either 1 or 2 as B. Then we have:

P(A|B) = P(B|A) * P(A) / P(B)

We can calculate each of these probabilities as follows:

P(A): The probability that the sum of two dice is 3. There are only two ways to get a sum of 3: (1,2) and (2,1). Since each dice is fair and there are 36 possible outcomes in total, the probability of getting a sum of 3 is 2/36 or 1/18.

P(B): The probability that the green die is either 1 or 2. There are two ways to get a 1 on the green die and two ways to get a 2 on the green die, for a total of 4 out of 36 possible outcomes. Therefore, the probability of getting a green die of 1 or 2 is 4/36 or 1/9.

P(B|A): The probability of getting a green die of 1 or 2, given that the sum is 3. Since we know that the sum is 3, we can look at the two ways to get a sum of 3 and see that in both cases, the green die is 1. Therefore, P(B|A) is 2/36 or 1/18.

Putting it all together, we have:

P(A|B) = P(B|A) * P(A) / P(B)

= (1/18) * (1/18) / (1/9)

= 1/2

Therefore, the conditional probability of the sum is 3, given that the green die is either 1 or 2, which is 1/2.

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The given statement is regarding USA Today that reports the average expenditure on Valentine's Day is $100.89. Now we have to find if there is any difference in the amount of money spent by male and female consumers.

The null hypothesis is given below:H0: µ1 = µ2The alternative hypothesis is given below:

Ha: µ1 ≠ µ2Where, µ1 is the population mean for male consumers and µ2 is the population mean for female consumers. The significance level of the test is given below:α = 0.01The sample mean, sample size, and the sample standard deviation for male and female consumers are given below: Sample mean of male consumers = $135.67Sample size of male consumers = 40Sample standard deviation of male consumers = $35Sample mean of female consumers = $68.64Sample size of female consumers = 30Sample standard deviation of female consumers = $20Now we will calculate the test statistic as shown below: Where, s1 is the sample standard deviation for male consumers, s2 is the sample standard deviation for female consumers, x1 is the sample mean for male consumers, x2 is the sample mean for female consumers, n1 is the sample size for male consumers, and n2 is the sample size for female consumers. Now, we will find the critical value of the test statistic for a two-tailed test using the t-distribution table below:

Degrees of Freedom (df) 0.005 0.001 60 2.660 3.745Since the sample size is small and the population standard deviation is unknown, we must use the t-distribution table to find the critical value of the test statistic. At α = 0.01 and df = n1 + n2 - 2 = 40 + 30 - 2 = 68, the critical values of the test statistic are -2.660 and 2.660. The calculated test statistic value is 4.42 which is greater than the critical value. Hence, the null hypothesis is rejected. It means there is a significant difference in the amount of money spent by male and female consumers.

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Answer:

x^-3=1/x^3

This is how we do it.

Answer:

Take the reciprocal. 1/x^3

Step-by-step explanation:

When you take the reciprocal of a number or a variable, the exponent changes sign.

Answer:

f[g(x)] = 9x + 10

Step-by-step explanation:

f[g(x)] means to replace the x of function f(x) with function g(x)

Given:

Therefore:

f[g(x)] = 3[g(x)] + 13

         = 3(3x - 1) + 13

          = 9x - 3 + 13

          = 9x + 10

The value of W''(5/2) is 2/3.

Given: W(t) = ∫ ln(x - 1) dx, where the limits of integration are from 2 to t.

To find the first derivative, we can apply the Fundamental Theorem of Calculus:

W'(t) = d/dt [∫ ln(x - 1) dx]

By the chain rule, we have:

W'(t) = ln(t - 1) * d/dt(t) - ln(2 - 1) * d/dt(2)

Since d/dt(t) = 1 and d/dt(2) = 0, the equation simplifies to:

W'(t) = ln(t - 1)

Now, to find the second derivative, we differentiate W'(t) with respect to t:

W''(t) = d/dt [ln(t - 1)]

By the chain rule, we have:

W''(t) = 1/(t - 1) * d/dt(t - 1)

Since d/dt(t - 1) = 1, the equation simplifies to:

W''(t) = 1/(t - 1)

Now, we can evaluate W''(5/2) by substituting t = 5/2 into the equation:

W''(5/2) = 1/((5/2) - 1)

W''(5/2) = 1/(5/2 - 2/2)

W''(5/2) = 1/(3/2)

W''(5/2) = 2/3

Therefore, W''(5/2) = 2/3.

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Yellow shirt probability is 1/4, 0.25 and 25%

Answer/Step-by-step explanation:

Common ratio of a sequence can be gotten by dividing any of the consecutive term in a sequence, by the term before it.

Thus,

For the sequence, \( 3, 9, 27. . . \) : \( a_1 = 3 \)

\( r = \frac{9}{3} = 3 \)

For the sequence, \( 8, 4, 2, 1. . . \) : \( a_1 = 8 \)

\( r = \frac{4}{8} = \frac{1}{2} \)

For the sequence, \( -16, 64, -256 . . \) : \( a_1 = -16 \)

\( r = \frac{64}{-16} = -4 \)

Factoring the sum or difference of cubes involves using specific formulas to simplify expressions.

The sum of cubes formula, a^3 + b^3 = (a + b)(a^2 - ab + b^2), and the difference of cubes formula, a^3 - b^3 = (a - b)(a^2 + ab + b^2), allow us to break down these expressions into more manageable factors.

To factor the sum or difference of cubes, you can use the following formulas:

Sum of Cubes: a^3 + b^3 = (a + b)(a^2 - ab + b^2)

Cube difference: (a - b)(a - b)(a - b)(a - b)(a - b)

Sum of Cubes:

The sum of cubes formula states that the sum of two cubes, a^3 + b^3, can be factored into (a + b) multiplied by the quadratic expression a^2 - ab + b^2.

For example, let's factorize 8x^3 + 27:

We can identify a = 2x and b = 3, so using the sum of cubes formula:

8x^3 + 27 = (2x + 3)(4x^2 - 6x + 9)

Difference of Cubes:

The difference of cubes formula states that the difference between two cubes, a^3 - b^3, can be factored into (a - b) multiplied by the quadratic expression a^2 + ab + b^2.

For example, let's factorize 64y^3 - 125:

We can identify a = 4y and b = 5, so using the difference of cubes formula:

64y^3 - 125 = (4y - 5)(16y^2 + 20y + 25)

Factoring the sum or difference of cubes involves using specific formulas to simplify expressions. The sum of cubes formula, a^3 + b^3 = (a + b)(a^2 - ab + b^2), and the difference of cubes formula, a^3 - b^3 = (a - b)(a^2 + ab + b^2), allow us to break down these expressions into more manageable factors. Factoring such expressions can be useful in various algebraic calculations and simplifications.

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The correct option is c) Easier interpretation. One of the main advantages of simple models is their ease of interpretation. Simple models tend to have fewer parameters and less complex mathematical equations, making it easier to understand and interpret how the model is making predictions.

This interpretability can be valuable in various domains, such as medicine, finance, or legal systems, where it is important to have transparent and understandable decision-making processes.

Complex models, on the other hand, often involve intricate relationships and numerous parameters, which can make it challenging to comprehend the underlying reasoning behind their predictions. While complex models can sometimes offer higher accuracy or make more detailed predictions, they often sacrifice interpretability in the process.

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Using mathematical operations, we know that Sofia will spend $56 and order 7 additional rolls of sushi (84 pieces).

An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value.

The operation's arity is determined by the number of operands.

PEMDAS stands for Parentheses, Exponents, Multiplication, Division, and Addition Subtraction (from left to right).

So, they require at least 100 sushi pieces.

24 pieces of sushi had previously been ordered and paid for by Sofia.

Roll sushi is available.

Each roll = 12 pieces at $8

R = additional rolls that Sofia orders

Additional sushi = Needed sushi - ordered sushi

=100-24

=76 pieces of sushi

A roll contains 12 pieces.

76/12 = 6.33

Rolls must be ordered by Sofia.

She will therefore place 7 additional sushi rolls, each with 12 pieces.

12*7=84 pieces

Remember that they need at least 100 pieces, so there may be more than 100 in total.

84 pieces plus the 24 pieces Sofia has previously ordered.

The total number of pieces will be 108.

Therefore, using mathematical operations, we know that Sofia will spend $56 and order 7 additional rolls of sushi (84 pieces).

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Complete question:
Sofia ordered sushi for a company meeting. They change plans and increase how many of people

will be at the meeting, so they need at least 100 pieces of sushi in total.

Sofia had already ordered and paid for 24 pieces of sushi, so she needs to order additional sushi.

The sushi comes in rolls, and each roll contains 12 pieces and costs $8. How many more sushi Sofia will order and of what amount?

A symmetrical distribution of exam scores in a college course indicates that the student's scores are evenly distributed across the entire range of scores. This suggests that about an equal number of students had relatively high and relatively low scores.

Correct answer will be b) About an equal number of students had relatively high and relatively low scores.

And that there is no single group that overwhelmingly outperformed or underperformed the others. Furthermore, it indicates that there were a substantial number of students who achieved high scores, as well as a substantial number who achieved low scores.

This type of even distribution of scores is often seen when students are equally prepared, and when the exam is designed to be neither too difficult nor too simple.

In conclusion, a symmetrical distribution of exam scores suggests that the students were similarly prepared and that the exam was appropriately challenging.

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The length of the other leg of a right triangle, as per the Pythagoras theorem, is option B: 13.0 cm.

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse. The calculation of the other leg of tbe triangle is given as follows.

According to the Pythagoras theorem:

(Hypotenuse)² = (Base)² + (Height)²

As per the question,

The height or the length of a leg of a right triangle is given equal to 11 cm and hypotenuse is given 17 cm. The other leg, or the base can be calculated as:

(Base)² = (Hypotenuse)² - (height)²

b² = (17)² - (11)²

b² = 289 - 121

b² = 168

b = √168

b = 12.96

or b = 13cm.

Thus, the base or the other leg of the right triangle is equal to 13 cm.

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Answer:

\(a_n=4n-11\)

Step-by-step explanation:

The common difference is \(d=4\) with the first term being \(a_1=-7\), so we can generate an explicit formula for this arithmetic sequence:

\(a_n=a_1+(n-1)d\\a_n=-7+(n-1)(4)\\a_n=-7+4n-4\\a_n=4n-11\)

Answer:

6.2

Step-by-step explanation:

I don't think you need my explanation anymore.

The magnitude of his displacement is 77.221952836296 m

In this question,

A baseball player hits a triple and ends up on third base.

A baseball "diamond" is a square, each side of length 25.740650945432 m, with home plate and the three bases on the four corners.

We need find the the magnitude of his displacement.

The magnitude of his displacement is the distance from home plate to the third base.

the distance from home plate to the third base is

= 3 × 25.740650945432

= 77.221952836296 m

Therefore, the magnitude of his displacement is 77.221952836296 m

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Farmer Ed has 3,000 meters of fencing and wants to enclose a rectangular plot that borders on a river.The largest area that can be enclosed is 750,000 square meters.

To get the largest area that can be enclosed, we have to find the dimensions of the rectangular plot. Let's assume that the width of the rectangle is x meters.The length of the rectangle can be found by subtracting the width from the total length of fencing available:L = 3000 - x. The area of the rectangle can be found by multiplying the length and width:Area = L × W = (3000 - x) × x = 3000x - x²To find the maximum value of the area, we can differentiate the area equation with respect to x and set it equal to zero.

Then we can solve for x: dA/dx = 3000 - 2x = 0x = 1500. This means that the width of the rectangle is 1500 meters and the length is 3000 - 1500 = 1500 meters.The area of the rectangle is therefore: Area = L × W = (3000 - 1500) × 1500 = 750,000 square meters. So the largest area that can be enclosed is 750,000 square meters.

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The equation to determine the length and width of the rug is

28 = w² + 12w

Since, the shape of the rug is rectangle, therefore area of rectangle has been used to obtain the solution.

What is a rectangle?

Rectangle is a flat, two-dimensional shape, having four sides and vertices with opposite sides being equal and parallel. We may easily represent a rectangle in an XY plane by using its length and breadth as the arms of the x and y axes, respectively.

Rectangles can also be referred to as parallelograms because their opposite sides are equal and parallel.

We are given a rectangular rug with an area of 28 square feet.

Also, the rug is 12 feet longer than it is wide.

So,

Let 'l' be the length of the rug and 'w' be the width of the rug

As given, Length is 12 feet longer than its width

Therefore, l = w + 12

We know Area of rectangle = Length * Width and area is given to be 28 square feet.

So,

⇒28 = (w + 12)w

⇒28 = w² + 12w

Hence, the equation to determine the length and width of the rug is

28 = w² + 12w.

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Question: Tammy has a rectangular rug with an area of 28 square feet. The rug is 12 feet longer than it is wide.

Create an equation to determine the length and the width of the rug.

Answer:

32

Step-by-step explanation:

4 ÷ 1/8

4/1 · 8/1 = 32/1

32

I hope this helps & God bless!

AREA

=================================================================

This is the formula for finding area :

\(A=\pi r^{2}\)

We know that r=8:

\(A=\pi (8)^2\)

Square:

\(A=64\pi\)

We leave our Answer in this form, since we need it in terms of pi.

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These special prime pairs are best known as "twin primes."

The question is about the unproven conjecture that there exist infinitely many pairs of prime numbers that differ by two, which are best known as a specific term. These special prime numbers, such as (17 and 19) or (1019 and 1021), are sometimes called "prime pairs" but they are best known as "twin primes."

Twin primes are the pairs of prime numbers that differ by a number of two, such as (3, 5), (5, 7), (11, 13), (17, 19), and so on. The conjecture that there are infinitely many twin primes is one of the oldest unsolved problems in number theory.

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Answer:

w+h+10=10wh

Step-by-step explanation:

The point- slope form of the line is y-5 = -0.25(x+6).

What is line?

A line is an one-dimensional figure. It has length but no width. A line can be made of a set of points which is extended in opposite directions to infinity. There are straight line, horizontal, vertical lines or may be parallel lines perpendicular lines etc.

A line with a slope of –1/4 passes through the point (–6,5)

Any line in point - slope form can be written as

y - y₁= m(x -x₁) -------(1)

where,

y= y coordinate of second point

y₁ = y coordinate of first point

m= slope of the line

x= x coordinate of second point

x₁ = x coordinate of first point

In the given problem (x₁ , y₁) = (-6,5) and m= -1/4

Putting all these values in equation (1) we get,

y-5= (-1/4) (x- (-6))

⇒ y-5 = -0.25(x+6)

Hence, the point- slope form of the line is y-5 = -0.25(x+6).

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Answer:

Step-by-step explanation:

Your welcome

Answer:y + x -6x (y -5x -2)

5x + 4x -3x (x)

2x + 3 - x -4 (x - 1)

Step-by-step explanation:

A=C

B=B

C=A