A spinner is shown below.

Which of the following relative frequencies match the expected probability?

Therefore, to determine if a linear transformation is an isomorphism, we can check if the determinant is non-zero or if the kernel is only the zero vector.

An isomorphism is a bijective linear transformation, that is both one-to-one and onto. The determinant of a linear transformation can help determine if it is an isomorphism. If the determinant is non-zero, the linear transformation is invertible, and therefore an isomorphism. A linear transformation is an isomorphism if and only if its determinant is nonzero.
Additionally, another way to check if a linear transformation is an isomorphism is to check if the kernel, which is the set of all vectors that get mapped to zero, is equal to only the zero vector. If the kernel is only the zero vector, then the linear transformation is one-to-one and therefore an isomorphism.

Therefore, to determine if a linear transformation is an isomorphism, we can check if the determinant is non-zero or if the kernel is only the zero vector.

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Answer: At 12:00 p.m., the minute hand points straight up at (0,10).

At 12:05 p.m., the minute hand has rotated 30 degrees clockwise. The tip of the minute hand would be approximately:

x = 10 * cos(30) = 8.66

y = 10 * sin(30) = 5

So, the coordinates would be approximately (8.66, 5).

At 12:45 p.m., the minute hand has rotated 180 degrees. The tip of the minute hand would be approximately:

x = 10 * cos(180) = -10

y = 10 * sin(180) = 0

So, the coordinates would be approximately (-10, 0).

At 12:55 p.m., the minute hand has rotated 330 degrees clockwise. The tip of the minute hand would be approximately:

x = 10 * cos(330) = -5.77

y = 10 * sin(330) = -8.66

So, the coordinates would be approximately (-5.77, -8.66).

Step-by-step explanation:

The resulting dilated triangle is as attached and it has the coordinates; (2, 4), (4, -2) and (-6, -2).

When a triangle is dilated, it means that each vertex of the figure has it's coordinates multiplied by the scale factor of the dilation. Now, due to the fact that multiplication operation is involved, it means that the original triangle and the dilated triangle are not congruent, as their side lengths are different.

The vertices of the triangle are given as follows:

(1, 2), (2, -1) and (-3, -1).

The dilation has a scale factor of 2, meaning that each coordinate of the vertices will be multiplied by 2 and as such, the coordinates of the dilated triangle are given as follows:

(2, 4), (4, -2) and (-6, -2).

The new triangle is as attached

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Answer:

No

Step-by-step explanation:

The first triangle is smaller and the second one is bigger. The first is 60 degrees and the second is about 89. (Maybe, ask your parents. I'm not quite sure of the angles.)

After 4 years ratio of their ages be 2 : 1

How do you calculate the ratio?

The steps of calculating a ratio are as follows:

Establish the ratio's function. Choosing what you want your ratio to show should be your first step. Every ratio will use a different set of data, so you need to make sure you are using the right data to provide you with the information you need.

Organize your formula. Ratios contrast two figures by ordinarily dividing them. A/B would be your formula if you were comparing one data point (A) to another data point (B). This indicates that you are multiplying information A by information B. For instance, your ratio will be 5/10 if A is 5 and B is 10.

Make the equation work. To calculate your ratio, divide data A by data B.

Let the present age of pete be P and claire be C.

According to question:

Two years ago pete was three times as old as his cousin claire.

⇒ P - 2 = 3(C - 2)

⇒ P - 2 = 3C - 6

⇒ P = 3C - 6 + 2

⇒ P = 3C - 4 ..................(1)

Also,  2 years before that, pete was four times as old as claire.

⇒ P - 4 = 4(C - 4)

⇒ P - 4 = 4C - 16

⇒ P = 4C - 16 + 4

⇒ P = 4C - 12 ..................(2)

Equating eq(1) and eq(2)

4C - 12 = 3C - 4

4C - 3C = -4 + 12

C = 8

Substitute the value of C in eq(1) we get,

P = 3(C) - 4 = 3(8) - 4 = 24 - 4 = 20

Let x be the number of years until Pete is twice as old as his cousin.

20 + x = 2(8 + x)

20 + x = 16 + 2x

20 - 16 = 2x - x

4 = x

Therefore, after 4 years ratio of their ages be 2 : 1

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Answer:

x = -7  and y = 5

Step-by-step explanation:

y = 3x + 19                   equation(i)

y = 5x + 33

substitute the value of y

3x + 19 = 5x + 33

3x - 5x = 33 - 19

-2x = 14

x = 14/-2

x = -7

now substitute the value of x in equation (i)

y = 3x + 19

y = 3*-7 + 19

y = -14 + 19

y = 5

Mr. Mensah's total earnings at the end of the fifteenth year of service is €1920.00 + €2520.00 = €4440.00.

To calculate Mr. Mensah's salary in the fifteenth year of service, we need to determine the pattern of salary increase over the years.

We know that Mr. Mensah's salary starts at €6400.00 and increases by €240.00 every year for the first eight years. After that, he is promoted to a new post with an annual salary of €9500.00, which increases by €360.00 every year.

Let's break it down:

For the first eight years, the salary increases by €240.00 per year:

After 1 year: €6400.00 + €240.00 = €6640.00

After 2 years: €6640.00 + €240.00 = €6880.00

...

After 8 years: €6400.00 + (8 * €240.00) = €6400.00 + €1920.00 = €8320.00

From the ninth year onwards, the salary increases by €360.00 per year:

After 9 years: €9500.00 + €360.00 = €9860.00

After 10 years: €9860.00 + €360.00 = €10220.00

...

After 15 years: €9500.00 + (7 * €360.00) = €9500.00 + €2520.00 = €12020.00

Therefore, Mr. Mensah's salary in the fifteenth year of service is €12,020.00.

To calculate Mr. Mensah's total earnings at the end of the fifteenth year of service, we need to sum up his salaries from year 1 to year 15.

For the first eight years, the total earnings can be calculated as follows:

Total earnings = (Salary in year 1 + Salary in year 2 + ... + Salary in year 8) = 8 * €240.00 = €1920.00

From the ninth year onwards, the total earnings can be calculated as follows:

Total earnings = (Salary in year 9 + Salary in year 10 + ... + Salary in year 15) = 7 * €360.00 = €2520.00

Therefore, Mr. Mensah's total earnings at the end of the fifteenth year of service is €1920.00 + €2520.00 = €4440.00.

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In an observational study, the statement that a cause and effect can be determined is false.

Observational studies simply establish associations between predictor and outcome variables. Observational studies cannot confirm that an association contemplates cause and effect.

In observational studies, confounding variables may explain an observed relationship between predictor and outcome variables.

In an observational study, a cause and effect cannot be determined. Observational studies are used to gather data about a particular population or phenomenon, but they do not allow for the determination of cause-and-effect relationships.

This is because observational studies do not control the variables that are being studied and, therefore, cannot determine the relationship between two variables.

In order to determine cause and effect, a controlled experiment is needed in which the variables are manipulated, and their effects are observed.

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9514 1404 393

Answer:

  (x, y) = (-2 12/17, -51)

Step-by-step explanation:

Here is the answer to ...

  \(4x+\dfrac{9}{y}+11=0\\\\\dfrac{6}{y}-3x=8\)

If you mean something else, then parentheses are needed.

__

Let z = 1/y. Then the equations in general form are ...

  \(4x+9z+11=0\\3x-6z+8=0\)

The solution (cross multiplication method) is ...

  x = (9·8 -(-6)·11)/(4(-6)-3·9) = 138/-51 = -2 12/17

  z = (11·3 -8·4)/-51 = -1/51

  y = 1/z = -51

The solution is (x, y) = (-2 12/17, -51).

Answer:

(4) 25​

Step-by-step explanation:

First, find the slope using rise over run:

(y2 - y1) / (x2 - x1)

Plug in the points:

(11 - 5) / (3 - 0)

6 / 3

= 2

The y intercept, (0, 5), has already been given. Using the equation y = mx + b, plug in the slope and y intercept to create the equation:

y = mx + b

y = 2x + 5

Now, plug in 10 as x to find the value of y:

y = 2x + 5

y = 2(10) + 5

y = 20 + 5

y = 25

So, the correct answer is answer choice 4, 25.

The value of the variable 'y' at x = 10 will be 25. Then the correct option is D.

Let the equation of the line pass through (x₁, y₁) and (x₂, y₂).

Then the equation of the line is given as,

\(\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)\)

A line passes through points (0,5) and (3, 11). Then the equation of the line is given as,

(y - 5) = [(11 - 5) / (3 - 0)](x - 0)

y = 2x + 5

If the value of the variable 'x' is 10, then the value of the variable 'y' is calculated as,

y = 2(10) + 5

y = 20 + 5

y = 25

The value of the variable 'y' at x = 10 will be 25. Then the correct option is D.

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Answer: The value of x is 3.5

Explanation:

Equation:

y = 2x - 7

When the equation's Line intersects the x-axis, the value of y shall be always 0

Insert y = 0, to find x intercept

⇒ 0 = 2x - 7

⇒ 2x - 7 = 0

⇒ 2x = 7

⇒ x = 3.5

So coordinates: (x, y) → (3.5, 0)

Answer:

Step-by-step explanation:

is between two numbers.

is less than or equal to a number.

is greater than or equal to a number.

It is meaningful to compute the probability that a continuous random variable when it is between two numbers.

Probability is a ratio of the number of favorable outcomes to the number of possible outcomes of the experiment.

Continuous random variable is is one which takes an infinite number of possible values.  A random variable is said to be continuous if it assumes a value that falls between a particular interval.

So, from the above mentioned statement we can assume that ;

The statement given in option \((c)\) is correct .

Hence, we can say that it is meaningful to compute the probability that a continuous random variable when it is between two numbers.

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The probability that all of the cards drawn are red is 0.0253.

A standard deck of playing cards has 52 cards.

Of the 52 cards, 26 of the cards are red cards.

When we draw the first card, the probability of getting red is 26/52.

When we draw the second card, the probability of getting red is 25/51.

When we draw the third card, the probability of getting red is 24/50.

When we draw the fourth card, the probability of getting red is 23/49.

When we draw the fifth card, the probability of getting red is 22/48.

Therefore, the probability of drawing 5 red cards without replacement is

= \(\frac{26}{52}* \frac{25}{51}* \frac{24}{50} *\frac{23}{49}* \frac{22}{48}\)

= 26*25*24*23*22/52*51*50*49*48

= 0.0253

Therefore, we have found that the probability that all cards drawn are red is 0.0253.

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Answer:

12w + 8d = 100

Step-by-step explanation:

Given:

Price of wall calendars = $12

Price of desk calendars = $8

Total amount pay = $100

Computation:

w = wall calendars

d = desk calendars

So,

Price of wall calendars(w) + Price of desk calendars(d) = Total amount

12w + 8d = 100

Answer:

yoooooooooooooooooooooooooooooooooooooooo

wait its not loading

Step-by-step explanation:

We can say with 99% confidence that the fraction of defective units produced is less than or equal to 0.0113.

To compute the 99% upper-confidence bound on the fraction defective, we can use the formula:

Upper bound = sample proportion + (z-score)(standard error)

The sample proportion is simply the number of defectives in the sample divided by the sample size:

sample proportion = 15/1500 = 0.01

The standard error can be calculated as:

standard error = √[(sample proportion)(1 - sample proportion) / sample size] = √[(0.01)(0.99) / 1500] = 0.0005

Using the z-score for a 99% confidence level (z0.005 = 2.58), we can calculate the upper-bound as:

Upper bound = 0.01 + (2.58)(0.0005) = 0.0113

Therefore, we can say with 99% confidence that the fraction of defective units produced is less than or equal to 0.0113.

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Answer:

x = -3

Step-by-step explanation:

\(-54= 6(x-6)\\\\-9=x-6\\\\x=-3\)

Answer:

x=-3

Step-by-step explanation:

-54= 6(x-6)

switch sides = 6(x-6)=-54

divide both sides by 6 =x-6=-9

add 6 to both sides = x=-3

x=-3

Answer:

Step-by-step explanation:

Perp. : -3/2

y + 8 = -3/2(x - 4)

y + 8 = -3/2x + 6

y = -3/2x - 2

The table represents the relationship between hours worked and the amount earned.

Hours worked     Money earned

2                           $25

6                           $75

10                          $125

14                          $175

Option A is the correct answer.

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

The amount earned in 8 hours = $100

The unit rate is,

= 100/8

= $12.5

This means,

1 hour = $12.5

Now,

For 2 hours,

2 hours = $25

For 6 hours,

6 hours = $75

For 10 hours,

10 hours = $125

For 14 hours,

14 hours = $175

Thus,

The table that represents the relationship is.

Hours worked     Money earned

2                           $25

6                           $75

10                          $125

14                          $175

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Answer:

48.6, 43.785, 43.687, 28.8, 28.078, 27.78,  .789, .43

Step-by-step explanation:

Correct me if I'm wrong, i couldn't tell if some of them were decimals or not because what is given was messy

Answer:

Polynomials are sums of terms of the form k⋅xⁿ, where k is any number and n is a positive integer. For example, 3x+2x-5 is a polynomial. Introduction to polynomials. This video covers common terminology like terms, degree, standard form, monomial, binomial and trinomial.

Answer:

They are expressions with variables. For example, 2x + 5 - 7x. That would be a polynomial.

Answer:

A = 8 and B = -2 and the equation is:

8x - 2y = -24

Step-by-step explanation:

Line intercepts

Any non-horizontal and non-vertical line has two intercepts: The y-intercept is the point where the line crosses the y-axis, and the x-intercept is the point where the line crosses the x-axis, also called the zero or root.

We are given the equation:

Ax+By=-24

The x-intercept is (-3,0). Substituting the values of x and y:

A(-3)+B(0)=-24

Operating:

-3A = -24

Dividing by -3:

A = -24 / (-3) = 8

A = 8

The y-intercept is (0,12). Substituting and using the just-found value of A

8(0)+B(12)=-24

Operating:

12B = -24

Solving:

B = -2

Thus, A = 8 and B = -2 and the equation is:

8x - 2y = -24

The 3-month simple moving average for May is 132.

To calculate the 3-month simple moving average for May, we need to take the average of the demand values for the three preceding months (February, March, and April).

The demand values for these months are 120, 134, and 142, respectively. To find the moving average, we sum these values and divide by 3 (the number of months):

Moving Average = (120 + 134 + 142) / 3 = 396 / 3 = 132

Therefore, the 3-month simple moving average for May is 132.

The simple moving average is a commonly used method to smooth out fluctuations in data and provide a clearer trend over a specific time period. It helps in identifying the overall direction of demand changes. By calculating the moving average, we can observe that the average demand over the past three months is 132 units. This provides an indication of the demand trend leading up to May. It's important to note that the moving average is a lagging indicator, as it relies on past data to calculate the average.

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Answer:

m∠1 = 63

m∠2 = 49

m∠3 = 87

m∠4 = 44

Step-by-step explanation:

Angle 2 and 49 are similar

Angle 2 = 49

Angle 1 + 49 + 68 = 180

180 - 49 - 68 = Angle 1

180 - 49 - 68 = 63

Angle 1 = 63

Angle 3 + 93 = 180

180 - 93 = Angle 3

180 - 93 = 87

Angle 3 = 87

Angle 4 + 49 + 87 = 180

180 - 49 - 87 = Angle 4

180 - 49 - 87 = 44

Angle 4 = 44

Step-by-step explanation:

A straight angle measures 180°.

m∠3 = 180 - 93

m∠3 = 87

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

m∠4 = 180 - (49 + 87)

m∠4 = 180 - 136 = 44

The vertically opposite angle.

so m∠2 = 49

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

m∠1 = 180 - (68 + 49)

m∠1 = 180 - 117 = 63

please give me a brainliest answer

Answer:

4(−2x + 4) = -8x + 16

Step-by-step explanation:

4(−2x + 4) = [?]x + [ ]

To find what number is in the blanks, use the distributive property.

4(−2x + 4) = -8x + 16

Hope this helps!

If -0.14 is changed to 2, the graph would become a positive graph, or it would be steeper, because it has a positive slope

The equation of the graph is given as:

\(y = -0.14x + 3\)

The above equation is a linear equation, which is represented as:

\(y =mx + c\)

Where m represents the slope of the linear equation.

By comparison, we have:

\(m = -0.14\)

i.e. the slope of the equation \(y = -0.14x + 3\) is -0.14

When -0.14 is replaced with 2, the equation becomes

\(y = 2x + 3\)

And the slope of the new equation \(y = 2x + 3\) is

\(m =2\)

2 is greater than -0.14, and 2 is positive.

This means that the graph would become a positive graph, or it would be steeper, because it has a positive slope

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We need to find the inverse of the function gof (x). First we need to find the composite function gof (x) which is given by:

\(g(f(x)) = g(3x - 6)\)

= \((1/3)(3x - 6) + 1\)

= x - 1 + 1

= x

Thus,

gof (x) = x.

Now we need to find the inverse of the function gof (x) to obtain

\((gof)^-1 (x).\)

We have gof (x) = x

which implies\((gof)^-1 (x)\)

= gof (x)^-1

= x^-1

= 1/x,

x ≠ 0

Therefore,

\((gof)^-1 (x) = 1/x\)

which is option (3) (x+1) since 1/x can be written as 1/(x+1-1), where (x+1-1) is the denominator of 1/x.

Hence, the correct option is (3).

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To find (g(f))^-1 (x), substitute the expression for f(x) into g(x) and simplify. The composition of g(f) is x and its inverse is also x. Therefore, (g(f))^-1 (x) equals x.

To find (g(f))^-1 (x), we need to first find the composition of g(f) and then find its inverse. Start by substituting the expression for f(x) into g(x): g(f(x)) = g(3x-6) = \frac{1}{3}(3x-6) + 1 = x - 1 + 1 = x. So, g(f(x)) = x. Now, to find the inverse of g(f), we switch the x and y variables and solve for y: y = x. Therefore, (g(f))^-1 (x) = x.

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The minimum score required for admission to the university is 3.6.

To find the minimum score required for admission to the university, we need to determine the GRE score that corresponds to the 40th percentile of the distribution.

First, we need to find the z-score that corresponds to the 40th percentile. We can use a standard normal distribution table or a calculator to find this value.

Using a standard normal distribution table, we can look up the z-score that corresponds to a cumulative area of 0.40, which is approximately 0.25.

The z-score corresponding to a cumulative area of 0.25 is -0.25.

Next, we can use the formula for transforming a z-score to a raw score:

z = (x - mu) / sigma

where:

z is the z-score (-0.25 in this case)

x is the raw score we want to find

mu is the mean of the distribution (3.8 in this case)

sigma is the standard deviation of the distribution (0.8 in this case)

Solving for x, we get:

\(x = z\times sigma + \mu\)

\(x = (-0.25)\times 0.8 + 3.8\)

x = 3.6.

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We estimate that the average number of roommates per semester for all students at the local college is 0.7.

The best point estimate for the average number of roommates per semester for all students at the local college would be the sample mean, which is calculated as the sum of the number of roommates for all students in the sample divided by the number of students in the sample.

Using the information given in the problem, we have:

Sample size (n) = 133

Sample mean (\(\bar X\)) = 0.7

Therefore, the best point estimate for the population mean (μ) is the sample mean:

μ ≈ \(\bar X\) = 0.7

So, we estimate that the average number of roommates per semester for all students at the local college is 0.7.

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Answer:

Step-by-step explanation:

Two boxes have a volume of 5/6 and 1/12 cubic meters respectively. How many times does the petty box (1/12) fit in the big box (5/6)?

\(\frac{\frac{5}{6} }{\frac{1}{12} } =\frac{(5)(12)}{(6)(1)} =\frac{60}{6} =10\)

ten times

Hope this helps