2/5+4/7 = Simplified

The correct option is B.

Thus, 68% percentage of the balls weigh within one standard deviation of the mean.

The Empirical Rule indicates that 99.7% of data that are observed to have a normal distribution fall within 3 standard deviations of the mean. According to this formula, 68 percent of the data are within one standard deviation, 95 percent are within two standard deviations, and 99.7 percent are within three standard deviations of the mean.

Because approximately 68% of the data falls within a standard deviation of the mean, according to the empirical rule, 68% of the balls' weights fall within that range.

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I understand that the question you are looking for is:

The weights of tennis balls are normally distributed, with the mean being 5.15 ounces and the standard deviation being 0.10. what percentage of the balls weigh within one standard deviation of the mean

A. 50%

B. 68%

C. 95%

D. 99.7%

Answer:

(A) 6 minutes

Step-by-step explanation:

it takes 20 and 30 minutes to fill the whole tub, so it takes only 10 and 15 minutes to fill half the tub.

in 1 minute the cold faucet can do 1/10 of the work (to fill half the tub).

in 1 minute the hot faucet can do 1/15 of the work (to fill half the tub).

so, together, they do in 1 minute

1/10 + 1/15 of the work (to fill half the tub).

1/10 + 1/15 =3/30 + 2/30 = 5/30 = 1/6

so, together, they do in 1 minute 1/6 of the work (to fill half the tub).

therefore, for the full work they need 6 times that amount of time of 1 minute.

together, they can fill half the tub in 6 minutes.

Answer:

What are the sets/the answer choices?

Step-by-step explanation:

Answer:

121 degrees

Step-by-step explanation: First you have to find all the angles in the triangle which you can do by subtracting 180- 79-42 which equal 59 then you slice for (x). So then you know that a straight line is 180 degrees so basically you subtract 180 from 59 which gives you ur answer.

Answer:

47°

Step-by-step explanation:

45+88= 133

180-133=47

The probability P(A and B) has a value of (d) 0.2

From the question, we have the following parameters that can be used in our computation:

These mean that

P(A) = 0.4

P(B) = 0.5

From the question, we have

The events are independent events

This means that

P(A and B) = P(A) * P(B)

So, we have

P(A and B) = 0.4 * 0.5

Evaluate

P(A and B) = 0.2

Hence, value is 0.2

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Answer:

3:25 pm

Step-by-step explanation:

The distance between New Orleans and Houston is : 353 miles

Departure time of the bus : 12:20 pm

Speed of the bus: 60 mph

After 45 minutes, the bus will be at a distance of : 45/60 * 60 = 45 miles

Distance remaining to cover = 353-45 = 308 miles

Speed of the motorcycle = 72 mph

Relative speed = 60 + 72 = 132 mph

Time the two will meet = 308 / 132 =  7/3 hrs

7/3 hrs = 2 hrs  20 minutes

Time the two will meet is ;

12:20 pm + 45 minutes + 2 hrs 20 minutes

= 3:25 pm

Both the bus and the motorcycle are driving opposite to each other.

From the given data, the time at which both the bus and the motorcycle will pass each other is 3:25 PM

The time at which both the motorcycle and the  bus will pass each other.

Let after t hour from the time when motorcycle starts, they both meet.

Then we have:

353 miles = 45 minute traveled by bus + distance traveled by bus in t hour + distance traveled by motorcycle in t time.

Since 45 minutes is three fourth of an hour, thus:

Distance traveled by bus in 45 minutes is calculated as:

\(D_{Bus}(45 \:\rm min) = 60 \times \dfrac{3}{4} \: \rm miles = 45 \: \rm miles\)

Distance traveled by bus in t hours is:

\(D_{Bus}(t \: \rm hours) = 60 \times t \: \rm miles = 60t \: \rm miles\)

Distance traveled by motorcycle in t hour is:

\(D_{motorcycle}(t \: \rm hours) = 72 \times t \: \rm miles = 72t \: \rm miles.\)

Thus, we have:

\(353 = 60t + 72t + 45\\\\308= 132t\\\\t = \dfrac{308}{132}\\\\t= \dfrac{7}{3}\: \rm hours\\\\t=2 \: \rm hours + 20 \: \rm minutes\)

Thus, time at which they meet was 12:20 PM + 45 minutes + 2 hours + 20 minutes = 3:25 PM

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1. Domain: The domain of g(x) is (-4, infinity).

2. Vertical Asymptote: x = -4 is a vertical asymptote for the function g(x).

3.  End Behavior:  the end behavior of g(x) as x approaches positive infinity  is positive infinity.

The function given is g(x) = ln(3x + 12) + 1.3.

1. Domain: The domain of the function is the set of all real numbers x for which the function is defined. In this case, the natural logarithm function ln(3x + 12) is defined when the argument inside the logarithm is positive. Therefore, 3x + 12 > 0. Solving this inequality, we get x > -4. Thus, the domain of g(x) is (-4, infinity).

2. Vertical Asymptote: A vertical asymptote occurs when the function approaches infinity or negative infinity as x approaches a certain value. For the given function, the argument of the natural logarithm, 3x + 12, will approach zero as x approaches -4, because ln(0) is undefined. Therefore, x = -4 is a vertical asymptote for the function g(x).

3. End Behavior: As x approaches negative infinity, the argument 3x + 12 will become more negative, and the natural logarithm ln(3x + 12) will tend towards negative infinity. Thus, the end behavior of g(x) as x approaches negative infinity is negative infinity. As x approaches positive infinity, the argument 3x + 12 will become larger and the natural logarithm ln(3x + 12) will approach infinity. Therefore, the end behavior of g(x) as x approaches positive infinity is positive infinity.

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\(give \: me \: brainliest \\ Thanks!\)

Answer:

the answer is 43.1

Step-by-step explanation:

because i searched it up

As per the permutation, there are 5040 number of different ways are available for seating.

The term permutation in math is known as  a mathematical calculation of the number of ways a particular set can be arranged

Here we know that there are 8! ways that you can arrange 8 people.

Now here we have to imagine a specific arrangement.

Here we have consider that everyone get up and move one seat to their right.

Then in that arrangement was counted separately from the first one in the 8!

Here have to know that it’s really the same since if each person looks to their left and their right and here they’re sitting next to the same person. Then here there are 8 such “identical rotations” for each possible seating arrangement so the total number of seating's is calculated as,

=> 8! / 8

=> 7! = 5040.

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If the columns of matrix B are linearly dependent, then the columns of AB are also linearly dependent.

Suppose the columns of matrix B are linearly dependent, which means there exist constants c₁, c₂, ..., cₙ (not all zero) such that c₁b₁ + c₂b₂ + ... + cₙbₙ = 0, where b₁, b₂, ..., bₙ are the columns of B.

Now, let's consider the product AB. Suppose A is an m × n matrix.

The jth column of AB is given by the product AB(:, j) = A(b₁j) + A(b₂j) + ... + A(bₙj), where b₁j, b₂j, ..., bₙj are the jth columns of B.

Substituting the linear dependence relation for the columns of B into the expression for AB(:, j), we get:

AB(:, j) = A(c₁b₁ + c₂b₂ + ... + cₙbₙ)

         = c₁A(b₁) + c₂A(b₂) + ... + cₙA(bₙ)

Since matrix multiplication distributes over column vectors, we have:

AB(:, j) = c₁A(b₁) + c₂A(b₂) + ... + cₙA(bₙ)

This shows that the jth column of AB can be expressed as a linear combination of the columns of A, multiplied by the corresponding coefficients c₁, c₂, ..., cₙ. Therefore, if the columns of B are linearly dependent, the columns of AB are also linearly dependent.

In conclusion, if the columns of matrix B are linearly dependent, then so are the columns of the product AB.

Complete Question:

Show that if the columns of B are linearly dependent, then so are the columns of AB.

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The function f(x,y) = 6 + x ln(xy-7) is differentiable at the point (4,2).

We can find the partial derivative fx(x,y) by applying the chain rule of differentiation to the function f(x,y) = 6 + x ln(xy-7), as follows:

fx(x,y) = ln(xy-7) + x(1/(xy-7))(ydx/dx)

= ln(xy-7) + 1/(y-7)*x

where dx/dx = 1 is the derivative of x with respect to itself. Similarly, the partial derivative fy(x,y) can be obtained as:

fy(x,y) = x(1/(xy-7))(xdy/dy)

= x/(xy-7)

where dy/dy = 1 is the derivative of y with respect to itself.

To show that fx and fy are continuous at the point (4,2), we need to evaluate them at that point and show that the resulting values are finite. Substituting x = 4 and y = 2 into the equations for fx and fy, we get:

fx(4,2) = ln(1) + 1/(2-7)4 = -4/5

fy(4,2) = 4/(42-7) = -4/3

Since both fx(4,2) and fy(4,2) are finite, we can conclude that the partial derivatives of f exist and are continuous at (4,2).

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Complete Question:

Explain why the function is differentiable at the given point.

f(x, y) = 6 + x ln(xy − 7), (4, 2)

The partial derivatives are fx(x, y) =

and fy(x, y) =

The net capital gain is $19,500. To calculate the net capital gain(s) for Neil Chen, we need to consider the relevant transactions and deductions. Neil purchased a block of land with a house in 2005, rented it out until June 2018, and then demolished the house and subdivided the land into two blocks.

He constructed two new dwellings and rented them out starting from October 2019. Neil sold one of the dwellings in May 2021 and incurred selling costs. Additionally, he had capital losses from previous years. Based on these details, we can determine the net capital gain(s) by subtracting the total capital losses and selling costs from the capital gain from the sale.

To calculate the net capital gain(s), we need to consider the following components:

1. Calculate the capital gain from the sale: The capital gain is the difference between the sale price and the cost base. In this case, the sale price is $1,050,000, and the cost base includes the original purchase price ($820,000), construction costs ($450,000), and any other relevant costs associated with the property.

2. Deduct selling costs: Selling costs, such as agent commission, should be subtracted from the capital gain. In this case, the selling costs are $12,000.

3. Consider previous capital losses: Neil had capital losses from previous years totaling $31,500.

To calculate the net capital gain(s), subtract the total capital losses ($31,500) and selling costs ($12,000) from the capital gain from the sale. The resulting amount will represent the net capital gain(s) for Neil that is $19,500

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The function f can be implemented using a single 4-to-1 multiplexer and two inverters.

A 4-to-1 multiplexer is a digital logic component that selects one of four input signals based on the select lines. It has four data inputs (D0, D1, D2, D3), two select lines (S0, S1), and one output (Y). By properly connecting the inputs and select lines, we can realize the desired function f.

To implement the function f using a single 4-to-1 multiplexer and two inverters, we need to carefully assign the input signals and select lines to achieve the desired behavior. The truth table of the function f will guide us in determining the appropriate connections.

First, we can use the inverters to complement the required inputs if needed. Then, we can connect the complemented and uncomplemented inputs to the select lines of the multiplexer. The output of the multiplexer will be the result of the function f.

By carefully selecting the input assignments and connections, we can effectively implement the function f using a single 4-to-1 multiplexer and two inverters. This approach offers a compact and efficient solution for realizing the desired logic function.

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After the 6-for-1 stock split, the stock price will be $16.41 per share, assuming no market imperfections or tax effects.

A stock split is a process in which a company increases the number of shares outstanding while proportionally reducing the price per share. In this case, the company plans a 6-for-1 stock split, which means that for every existing share, shareholders will receive six new shares.

To determine the post-split stock price, we divide the original stock price by the split ratio. The original stock price is $98.48, and the split ratio is 6-for-1. Therefore, we calculate:

$98.48 / 6 = $16.41

Hence, after the 6-for-1 stock split, the stock price will be $16.41 per share. This means that each shareholder will now hold six times more shares, but the value of their investment remains the same.

It is important to note that in practice, market imperfections, investor sentiment, and other factors can influence the stock price after a split. However, assuming no market imperfections or tax effects, the calculated value of $16.41 represents the theoretical post-split stock price.

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Answer:

\(0.79\)

Step-by-step explanation:

\(\mathrm{Probability\ of\ losing+Probability\ of\ winning=1}\\\mathrm{or,\ Probability\ of\ losing=1-0.21}\\\mathrm{\therefore Probability\ of\ losing=0.79}\)

Answer:

2y-2n-3a

Step-by-step explanation:

(7y-2n) - (5y+3a)

7y-2n-5y-3a

2y-2n-3a

Answer:

Simplify the expression.

−3a−2n+2y

Step-by-step explanation:

Given:

Account 1 :

Principal amount = $ 4600

Interest = 2%

time = 4 years compounded monthly.

The future value is,

Account 2:

Principal amount = $ 3000

Interest = 4%

time = 4 years compounded quarterly.

The future value is,

The difference between the future values of both accounts is,

Answer: Account 1 is better because the final value is $1465.05 more than the final value of Account 2 after four years.

4 cups of mayonnaise should be used if 1 cup of pecans is used.

As per the given data:

A recipe calls for  \($1\frac{1}{2}\) cups of mayonnaise and \($\frac{3}{8}\) cups of pecans.

First, convert the mixed fraction to an improper fraction.

\($1\frac{1}{2}\) cups of mayonnaise = \($\frac{3}{2}\)

Here we have to determine how much mayonnaise should be used if 1 cup of pecans is used.

This can be determined by using the unitary method.

We may determine the value of one unit from the value of many units and the value of many units from the value of one unit using the unitary technique.

The ratio of the amount of pecans comparing reality and the recipe is:

\($= \frac{1}{\frac{3}{8} }\)

= \($\frac{8}{3}\)

To find the amount of mayonnaise that should be added:

= \($\frac{8}{3}\) × \($\frac{3}{2}\)

= 4

Therefore 4 cups of mayonnaise is required.

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Answer:

No.

Step-by-step explanation:

13 > 5 YES

13 < 10 NO

Answer:

NO

Step-by-step explanation:

if we replace 13 behind x

it will be 13>5 which is true but 13<10 is false so its not

Answer:

x= 0.4

Step-by-step explanation:

x^2 = 4/25 (0.16)

x = 0.4                        Square root both sides

A sequence of transformation that would move ΔABC onto ΔDEF is: D. a dilation by a scale factor of 1/2, centered at the origin, followed by a 90° clockwise rotation about the origin.

In Geometry, a dilation is a type of transformation which typically changes the size of a geometric object, but not its shape.

In this scenario an exercise, we would dilate the coordinates of the pre-image by applying a scale factor of 1/2 that is centered at the origin as follows:

Ordered pair B (-4, 2) → Ordered pair B' (-4 × 1/2, 2 × 1/2) = Ordered pair B' (-2, 1).

In Mathematics and Geometry, a rotation can be defined as a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction;

(x, y)                               →            (y, -x)

Ordered pair B' (-2, 1)   →          E (1, 2)

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Answer:

x = 50°

Step-by-step explanation:

130 and x are adjacent angles on a straight line and sum to 180° , so

x + 130° = 180° ( subtract 130° from both sides )

x = 50°

Answer:

93

Step-by-step explanation:

The sum of the three angles of any triangle is equal to 180 degrees

Therefore,

180-41-46=93

74‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

Answer:

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Step-by-step explanation:

this person explains

Answer: d is the answer

Step-by-step explanation:

The prosecutor claims that there is a 1% chance that the defendant would have the crime blood type if he were innocent, and thus, there is a 99% chance that he is guilty.

This is a fallacy known as the prosecutor's fallacy.The prosecutor's fallacy is an error in statistical reasoning that occurs when the probability of an event occurring given a particular hypothesis is incorrectly equated with the probability of the hypothesis given the event.

It is a common mistake in legal proceedings and forensic science.According to the prosecutor's argument, the probability of the defendant being innocent given the blood evidence is only 1%, while the probability of him being guilty is 99%. This argument is invalid because it equates the conditional probability of the hypothesis (the defendant being innocent or guilty) given the evidence with the inverse probability of the evidence given the hypothesis.

In other words, the prosecutor has taken the likelihood of observing the blood evidence given that the defendant is innocent and used it as evidence that the defendant is guilty. This is a logical fallacy, as it fails to take into account other factors that could account for the presence of the blood evidence and ignores the possibility that the defendant may be innocent. Therefore, the prosecutor's argument is wrong, and his conclusion that the defendant is guilty cannot be justified by the evidence.

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\((5i)^2\\\\=25\cdot i^2\\\\=25(-1)\\\\=-25\)

(5i)² can be written in integer form as as -25.

The numbers which can be expressed in the form of a + ib, where both 'a' and 'b' are real numbers and 'i' an imaginary number is called complex numbers.

So a complex number has a real part and an imaginary part.

The imaginary number 'i' is called iota and value of i is √-1.

We know the value of i.

i = √-1

i² = -1

(5i)² only has an imaginary part.

∴ (5i)² = 5² i²

          = 25 × -1

          = -25

Hence we can write (5i)² as -25 in the integer form.

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