State the property that justifies the statement.
If x/3=-15, then x=-45.

Answer:

8 is answer why can't I send

"The correct answer is B) 7 toppings." The Carla's pizza had 7 toppings.

To find out how many toppings were on Carla's pizza, we need to solve the equation by setting the cost of the pizza equal to the amount Carla paid.

The given function is f(t) = 10.25 + 1.25t, where t represents the number of toppings on the pizza.

Carla paid $19.00 for the pizza.Setting up the equation, we have:

10.25 + 1.25t = 19.00

Subtracting 10.25 from both sides:

1.25t = 8.75

Dividing both sides by 1.25:

t = 7.

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750 mL is equivalent to 25.36 oz.

When measuring liquids, the metric system and the US customary system are commonly used. In the metric system, the standard unit of measurement for liquids is milliliters (mL) and in the US customary system, it's ounces (oz).

To convert between these units, you can use a conversion factor.

One way to convert mL to oz is to use the conversion factor of 1 oz = 29.5735 mL. To find the number of ounces in 750 mL, you can use this conversion factor to set up an equation:

750 mL = x oz

Where x is the number of ounces you want to find. To solve for x, you can divide both sides of the equation by the conversion factor:

x = 750 mL / 29.5735 mL/oz

x = 25.36 oz

It's important to note that this is an approximation and for more accurate measurements, you should use an online calculator or consult a chart.

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The total amount of money that Johnny will have to pay is f(10) = 30.

What are expressions?

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Given is that it costs Johnny $15 a month plus $1.50 per song to download music. This situation is represented by the expression →

1.5(x) + 15.

The expression is given by -

f(x) = 1.5(x) + 15

where [x] is the number of songs downloaded.

For [x] = 10 songs, the total amount of money that Johnny will have to

pay is -

f(10) = 1.5 x 10 + 15

f(10) = 15 + 15

f(10) = 30

Therefore, the total amount of money that Johnny will have to pay is f(10) = 30.

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The cost that Johnny has to pay to download 10 songs is 30$

as per given in the question,

johnny's  regular cost is 15$ a month

$1.50 is to be added for every song download

The cost to be find for 10 songs download

the equation which can be formed is

let x be the number of songs

1.5 times the number of songs + the cost of every month

therefore

1.5(x) + 15

the total number of songs to be downloaded is  10

so,

1.5(10) + 15

=> 15 +15

=> 30 $

Now the cost that has to pay by johnny after the downloading of 10 songs is 30 $

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The solution to the system of equations in this problem is given as follows:

x = 1.16, y = 3.71.

The system of equations for this problem is defined as follows:

Multiplying the first equation by 2, we have that:

x + 4y = 16

x = 16 - 4y.

Replacing into the second equation, the solution for y is obtained as follows:

3(16 - 4y) - 0.67y = 1

48 - 12y - 0.67y = 1

12.67y = 47

y = 47/12.67

y = 3.71.

Then the solution for x is of:

x = 16 - 4(3.71)

x = 1.16.

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The difference of the elevation of the two points, a mountain in the Great Smoky Mountains National Park and gap in the Atlantic Ocean is 30143 feet.

Given that,

Elevation of a mountain in the Great Smoky Mountains National Park = 5651 feet above sea level

Elevation of the gap in the Atlantic Ocean = 24492 feet below sea level

We have to find the difference in the elevation of the two points.

Let s be the sea level.

Elevation of mountain = s + 5651

Elevation of gap in Atlantic Ocean = s - 24492

Difference in the elevation = s + 5651 - (s - 24492)

                                            = 5651 + 24492

                                            = 30143 feet

Hence the difference in elevation is 30143 feet.

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The value of x from the exponential equation is 2.866.

Logarithm:

A logarithm is a power to which a number must be raised to get some other number.

Here we have to find the value of x.

The equation is given:

\(6^{x}\) = 170

Taking logarithms on both sides, we have:

log \(6^{x}\) = log 170

x log 6 = log 170

x = log 170 / log 6

 = 2.230/ 0.778

 = 2.866

Therefore the value of x is 2.866.

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If two samples are selected from the same population, the two samples have exactly the same t statistics if the samples are same size and have the same variance and mean

The t-statistic is the ratio of the departure of the estimated value of a parameter from its hypothesized value to its standard error.

Variance is the expectation of the squared deviation of a random variable from its population mean or sample mean.

Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers

Hence, If two samples are selected from the same population, the two samples have exactly the same t statistics if the samples are same size and have the same variance and mean

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Answer:

they were on the 21-yard line

Step-by-step explanation:

Answer:

4-yard line

Step-by-step explanation:

i got this answer correct on my quiz so the other answer is wrong

Answer:

Yes, line L and line K are parallel because the slopes are equal.

Step-by-step explanation:

From the question given:

Line L contains point A(2, 2) and B(3, 6)

Line K contains point C(0, 5) and D(1, 9)

To know if the lines are parallel, we need to determine the slope of each line.

The slope of each line can be obtained as follow:

1. Determination of the slope of line L.

Line L contains point A(2, 2) and B(3, 6)

x1 coordinate = 2

x2 coordinate = 3

y1 coordinate = 2

y2 coordinate = 6

Slope = Chang in y coordinate / change in x coordinate

Slope = y2 - y1 / x2 - x1

Slope = 6 - 2 / 3 - 2

Slope = 4/1

Slope = 4

Therefore, the slope of line L is 4.

2. Determination of the slope of line K.

Line K contains point C(0, 5) and D(1, 9)

x1 coordinate = 0

x2 coordinate = 1

y1 coordinate = 5

y2 coordinate = 9

Slope = Chang in y coordinate / change in x coordinate

Slope = y2 - y1 / x2 - x1

Slope = 9 - 5 / 1 - 0

Slope = 4/1

Slope = 4

Therefore, the slope of line K is 4.

Summary

Line >>>>>>>>>>> Slope

L >>>>>>>>>>>>> 4

K >>>>>>>>>>>>> 4

From the above calculations, we can see that line L and line K has the same slope.

Therefore, line L and line K are parallel.

Answer:

x=-4 y=5

Step-by-step explanation:

3×(16-4y)+4y=8

48-12y+4y=8

-8y=-40

y=5

x=16-4×5

x=-4

Answer:

The diagram is omitted--please sketch it to confirm my answer.

Set your calculator to degree mode.

\( \tan( \alpha ) = \frac{110}{450} \)

\( \alpha = {tan}^{ - 1} \frac{11}{45} = 13.74 \: degrees\)

The angle of elevation is 13.74°.

The solution of the given system of equations using the matrix method and elementary transformations are x = -1, y = 3, z = 1/2

Let's represent the given system of equations in matrix form.

{| 2 2x - y + 3z x + 2y - z |, | -4x + 5y + z 10 |, | 4 5 0 |}

To apply elementary row transformations, we can perform operations on the matrix to simplify and solve the system.

Multiply the first row by 2:

{| 4 4x - 2y + 6z 2x + 4y - 2z |, | -4x + 5y + z 10 |, | 4 5 0 |}

Add the second row to the first row:

| 4 4x - 2y + 6z 2x + 4y - 2z |

| 0 3y + 2z 10 |

| 4 5 0 |

Multiply the second row by (1/3):

| 4 4x - 2y + 6z 2x + 4y - 2z |

| 0 y + (2/3)z (10/3) |

| 4 5 0 |

Subtract the first row from the third row:

| 4 4x - 2y + 6z 2x + 4y - 2z |

| 0 y + (2/3)z (10/3) |

| 0 -4x - 6y + 4z -2x - 5y + 2z |

Divide the third row by -2:

| 4 4x - 2y + 6z 2x + 4y - 2z |

| 0 y + (2/3)z (10/3) |

| 0 2x + 3y - 2z x + (5/2)y - z |

Now, the system of equations can be rewritten as:

4x - 2y + 6z = 2x + 4y - 2z

y + (2/3)z = (10/3)

2x + 3y - 2z = x + (5/2)y - z

By Simplifying further:

2x - 6y + 8z = 0

3y + 2z = 10

x + (1/2)y - z = 0

Let us use substitution and elimination method, to solve the equations,

From the second equation, we can solve for y:

3y + 2z = 10

3y = 10 - 2z

y = (10 - 2z) / 3

Substituting this value of y into the third equation:

x + (1/2)((10 - 2z) / 3) - z = 0

x + (5 - z) / 3 - z = 0

x + 5/3 - z/3 - z = 0

x - (4/3)z + 5/3 = 0

x = (4/3)z - 5/3

Now, we can substitute the expressions for x and y into the first equation:

2x - 6y + 8z = 0

2((4/3)z - 5/3) - 6((10 - 2z) / 3) + 8z = 0

(8/3)z - 10/3 - (20 - 4z) + 8z = 0

(8/3)z - 10/3 - 20 + 4z + 8z = 0

(20/3)z - 10/3 = 0

20z - 10 = 0

20z = 10

z = 10/20

z = 1/2

Substituting this value of z back into the expressions for x and y:

x = (4/3)(1/2) - 5/3

x = 2/3 - 5/3

x = -3/3

x = -1

y = (10 - 2(1/2)) / 3

y = (10 - 1) / 3

y = 9/3

y = 3

Therefore, the solution to the system of equations is:

x = -1

y = 3

z = 1/2

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A student's probability of having a sister are 1/2 or 0.5 if they do not have a brother.

Using the above data table, we must determine the likelihood that a student without a brother also has a sister. Analysing the table now

has a sibling: 5

possesses no sisters: 2

has an 18-year-old brother

possesses no brothers: 4

We are looking for the likelihood that a student has a sister and neither a brother (as indicated by the statement "Does not have a brother"). In this instance, there are two children who do not have a brother but do have a sister, making that number the number of positive outcomes.

No matter whether a student has a sister or not, the total number of outcomes is equal to the number of students who do not have a brother. According to the table, there are 4 students without brothers.

As a result, the likelihood that a student who doesn't have a brother will have a sister can be determined as follows:

Probability is calculated as the ratio of the number of favourable outcomes to all possible outcomes.

Probability equals 2/4

Probability equals 0.5 or half.

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The required GCF is 8.

The greatest common factor is that greatest number from the factors which divides the number completely.

For example take numbers 12 and 16.

The factors of 12 are 2×2×3.

And the factors of 16 are 2×2×2×2.

We can clearly see that the common factors are 2×2 which gives 4. So, 4 is the greatest common factor which divides both 12 and 16.

Here it is given to find the greatest common factor of 16 and 40.

Factors of 16 = 2×2×2×2

Factors of 40 = 2×2×2×5

We can see clearly the common factors are 2×2×2 which gives 8.

So, 8 is the greatest common factor.

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a) Sample space is  {HHH, HHT.HTH,THH,TTT,TTH,THT,HTT}.

b) The assignment of probabilities to outcomes in this sample space is 1/8.

By dividing the number of positive outcomes by the entire number of possible outcomes, probability—the likelihood that an event will occur—is determined. The most basic illustration is a coin toss. There are just two outcomes when you flip a coin: either it comes up heads or tails.

Given,

(A) What is the scope of this random process' sample space?

There are three possible results from tossing a coin three times.

The sample area connected to the specified random process is:

S = {HHH, HHT.HTH,THH,TTT,TTH,THT,HTT}

(b) How are outcomes in this sample space assigned probabilities?

Since there are eight possible outcomes in the sample space supplied, and we are aware that a fair coin is tossed three times, As a result, the likelihood of every event listed in the provided sample space is the same. Thus, we have:

Probability = 1/8

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Answer:

You should divide (÷)

Step-by-step explanation:

4.80÷ 80/100

then u add them together and get ur answer

Answer:

-40, -6

Step-by-step explanation:

Add -x and x together, add -4y and 3y together, and -16 nd 10 together

When adding -x and x, they will cancel each other out.

Then substitute the y values in one of the equations for -6.

Isolate x to find the value of x

Check your answer:

Wave interference that results in greater wave amplitude is called Constructive interference.

What is Wave Interference?

Wave interference is a physical phenomena that occurs when two waves collide while traveling through the same medium. Waves interact in two ways.

a) Constructive Interference - In this case, the two waves cancel each other out because their amplitudes are equal and opposite.

b) Destructive Interference - This occurs when two waves add to each other as they travel in the same direction, resulting in a wave with a longer wavelength.

It is Constructive interference.

Therefore, Wave interference that results in greater wave amplitude is called Constructive interference.

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The quadratic sorting algorithms are the ones that have a time complexity of O(n^2) or worse.

These algorithms are known for their inefficiency when sorting large datasets, as their time complexity grows exponentially with the size of the input.
Now, coming back to the question at hand, we are asked to identify which of the following algorithms is not a quadratic sorting algorithm.

The options given are Bubble sort, Selection sort, Quick sort, and Insertion sort.

Bubble sort and Selection sort are both examples of quadratic sorting algorithms, as they have a time complexity of O(n^2).

Bubble sort is a simple algorithm that repeatedly compares adjacent elements and swaps them if they are in the wrong order.

Selection sort is another simple algorithm that sorts an array by repeatedly finding the minimum element from the unsorted part of the array and putting it at the beginning.

Insertion sort, on the other hand, has a time complexity of O(n^2) in the worst case, but it can perform better than quadratic sorting algorithms on average, especially for small datasets.

This algorithm works by iterating over an array and inserting each element in its correct position in a sorted subarray.

Finally, Quick Sort is a well-known sorting algorithm with an average time complexity of O(nlogn) and a worst-case time complexity of O(n²).

This algorithm works by dividing the array into two smaller subarrays, one with elements smaller than a pivot element, and one with elements greater than the pivot, and then recursively sorting these subarrays.

Therefore, the answer to the question is Quick sort, as it is not a quadratic sorting algorithm. It has a much better time complexity than Bubble sort and Selection sort, and it can perform well on large datasets.

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Answer:

  (a)  (6, 20), because both lines pass through this point

Step-by-step explanation:

The solution to a system of equation is the set of variable values that satisfies all of the equations. That will be the point of intersection of two lines on their graph.

__

(6, 20) is the solution to the system because both lines pass through that point.

Step-by-step explanation:

To find the number of pages Tyler has finished reading, we can start by calculating 27% of the total number of pages in the book:

27% of 200 = (27/100) x 200 = 54

Therefore, Tyler has finished reading 54 pages of the book.

Answer: (0,-6)

Step-by-step explanation:

To find the y-intercept, we can rewrite the equation into slope-intercept form.

3x+5y=-30            [subtract both sides by 3x]

5y=-3x-30             [divide both sides by 5]

y=-3/5x-6

Now that the equation is in slope-interceot form, we know that the y-intercept is -6, we know that the answer is (0,-6).

If the invested price is $ 148,000 for 12 years with a return of $210,160. Then the rate of interest will be 11.83%.

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.

Julie invested $148,000 in a simple interest account.

After 12 years and no additional deposits or withdrawals, the account balance was $210,160.

Then the interest rate will be

\(\rm A = \dfrac{PRT}{100}\\\)

We have

A = $ 210,160

P = $148,000

T = 12 years

Then the interest rate will be

\(\begin{aligned} 210,160 &= \dfrac{148000 \times R \times 12}{100}\\\\R &= 11.83 \% \end{aligned}\)

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Answer: 3.5%

Step-by-step explanation:

a) the probability that a randomly selected Cobalt gets more than 34 MPG is approximately 0.7149.

b) the probability that the mean MPG exceeds 34 MPG for a sample of 10 Cobalts is approximately 0.035.

c) the probability that the mean MPG exceeds 34 MPG for a sample of 20 Cobalts is approximately 0.005.

a) To find the probability that a randomly selected Cobalt gets more than 34 MPG, we need to calculate the area under the normal distribution curve to the right of 34 MPG.

Using the z-score formula, we can convert the MPG value to a standard score (z-score) using the formula:

z = (x - μ) / σ,

where x is the given value (34 MPG), μ is the mean (32 MPG), and σ is the standard deviation (3.5 MPG).

Calculating the z-score:

z = (34 - 32) / 3.5 = 0.57

Using a standard normal distribution table or a statistical calculator, we can find the area to the right of the z-score 0.57.

Let's assume the standard normal distribution table gives us a value of 0.2851 for z = 0.57.

Since the total area under the normal curve is 1, the probability of getting more than 34 MPG is:

P(X > 34) = 1 - P(X ≤ 34) = 1 - 0.2851 = 0.7149

Therefore, the probability that a randomly selected Cobalt gets more than 34 MPG is approximately 0.7149.

b) When selecting a sample of 10 Cobalts, the mean MPG of the sample (\(\bar{X}\)) follows a normal distribution with the same mean (32 MPG) and a standard deviation (σ) equal to the population standard deviation (3.5 MPG) divided by the square root of the sample size (√10).

σ( \(\bar{X}\) ) = σ / √n = 3.5 / √10 ≈ 1.107

We want to find the probability that the mean MPG exceeds 34 MPG for the sample of 10 Cobalts. In other words, we need to find P(\(\bar{X}\) > 34).

We can again convert the value of 34 MPG to a z-score:

z = (34 - 32) / 1.107 ≈ 1.805

Using a standard normal distribution table or a statistical calculator, we find the area to the right of the z-score 1.805.

Let's assume the standard normal distribution table gives us a value of 0.035 for z = 1.805.

Therefore, the probability that the mean MPG exceeds 34 MPG for a sample of 10 Cobalts is approximately 0.035.

c) When selecting a sample of 20 Cobalts, the mean MPG of the sample (\(\bar{X}\)) follows a normal distribution with the same mean (32 MPG) and a standard deviation (σ) equal to the population standard deviation (3.5 MPG) divided by the square root of the sample size (√20).

σ( \(\bar{X}\) ) = σ / √n = 3.5 / √20 ≈ 0.78

We want to find the probability that the mean MPG exceeds 34 MPG for the sample of 20 Cobalts. In other words, we need to find P(\(\bar{X}\) > 34).

Similarly, we can convert the value of 34 MPG to a z-score:

z = (34 - 32) / 0.78 ≈ 2.564

Using a standard normal distribution table or a statistical calculator, we find the area to the right of the z-score 2.564.

Assuming the standard normal distribution table gives us a value of 0.005 for z = 2.564.

Therefore, the probability that the mean MPG exceeds 34 MPG for a sample of 20 Cobalts is approximately 0.005.

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Answer:

A

Step-by-step explanation:

Answer:

pretty sure its non- proportional. Sorry if in wrong!!!

Answer:

I think it's 120??

Step-by-step explanation:

10 x 10 = 100

12 x 10 = 100

Answer:

if 10%=12

then

1%=12/10

or,1%=1.2

then, for 100%

100%=1.2*100

hence, 100%=120...

Absolute value is the distance a number is from____ and is always ____

1. Zero

2. Positive