which is the best definition of a translation of a figure on the coordinate plane?
a. A transformation that moves all point in the plane different distance and in different difractions preserving only angle measure
b. A transformation that moves all point in the plane different distance and in different difractions preserving angle measure, segmen lengths and collinear point
c. A transformation that moves all point in the plane fix direction preserving only angle measure
d. A transformation that moves all point in the plane fix direction preserving only angle measure, segmen lengths and collinear point

The probability of an event can be calculated from the odds against that event. The formula for converting odds against to probability is:

Probability = 1 / (1 + odds against)

So in this case, the odds against winning $1.00 in the lottery are 19 to 1, and the probability of winning can be calculated as follows:

Probability = 1 / (1 + 19) = 1 / 20 = 0.05

So the probability of winning $1.00 in the lottery is 0.05, or 5%.

The equation that represents the inverse function b(a) in this case is:

C. b(a) = 7

Answer:

11 I think

Step-by-step explanation:

just subtract!

30 - 19 = 11

A rhombus with MK = 24 m, JL = 20, ∠MJL = 50°. So, NK = 24 m, NL = 24.8 m, ML = 24.8 m, and JM = 20 m.

We need the information about the measurements or a description of the missing measures in the rhombus. We can make it MK = 24 m, JL = 20, ∠MJL = 50° for example. Since it's a rhombus, all sides are equal in length. Therefore, NK = MK = 24 m, JM = JL = 20 m, and ML = NL.

To find ML (or NL), we can use the Law of Cosines on the triangle MJL. In this case,

ML² = JM² + JL² - 2(JM)(JL)cos(∠MJL):

ML² = 20² + 20² - 2(20)(20)cos(50°)

ML² = 400 + 400 - 800cos(50°)

ML² ≈ 617.4

Taking the square root of both sides, we get ML ≈ √617.4 ≈ 24.8 m.

So, NK = 24 m, NL = 24.8 m, ML = 24.8 m, and JM = 20 m.

The complete question is The quadrilateral below is a rhombus. Given MK = 24 m, JL = 20, ∠MJL = 50°. Find NK, NL, ML, and JM. Any decimal answers should be rounded to the nearest tenth.

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Answer:

75%

Step-by-step explanation:

Looking at the plot, we can see that the number 27 represents the minimum value while the number 45 represents the upper quartile

Between the minimum value and the upper quartile, there is 75% of all the values on the plot

So, we can conclude that between the numbers 27 and 45, we have 75% of all the data values present.

Kindly note;

There are five points in a box plot

minimum

lower quartile (0-25%)

Median (0-50%)

Upper quartile (0-75%)

Maximum number (0-100%)

B= 81 sq. ft

B= 9C

Wc= 3 ft

Lc= ?

9C = 81

C = 9

C= L * W

9= L * 3

L = 3 ft

Answer:

3 ft

Step-by-step explanation:

Area of bedroom = 81 ft^2

Arear of closet = Area of bedroom/ 9

= 81/9= 9 ft^2

9= width × length

length = 9÷ width = 9 ÷ 3 = 3

Answer

59.5

Step-by-step explanation:

This is what I think!

Therefore, the p-value of the test is approximately 0.3.

To calculate the p-value, we will use the two-sample t-test. The null hypothesis (H₀) states that there is no difference in the mean target errors between the two types of rockets. The alternative hypothesis (H₁) states that there is a difference.

We can calculate the test statistic using the formula:

t = (x₁ - x₂) / √[(s₁²/n₁) + (s₂²/n₂)]

where x₁ and x₂ are the sample means, s₁ and s₂ are the sample standard deviations, and n₁ and n₂ are the sample sizes.

Plugging in the given values, we have:

x₁ = 98, s₁ = 18, n₁ = 8

x₂ = 76, s₂ = 15, n₂ = 10

Calculating the test statistic, we get:

t = (98 - 76) / √[(18²/8) + (15²/10)]

= 22 / √(36 + 22.5)

= 22 / √58.5

≈ 2.83

The p-value of the test can then be determined by comparing the test statistic to the t-distribution with (n₁ + n₂ - 2) degrees of freedom. In this case, since the p-value is not provided, we cannot determine its exact value. However, based on the given options, the closest value to 2.83 is 0.3.

Therefore, the p-value of the test is approximately 0.3.

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Answer: option 2. x²-1

Step-by-step explanation:

concept to know: a²-b²=(a+b)(a-b)

------------

(a+b)(a-b)=a²+b²

(x+1)(x-1)=x²-1

Hope this helps!! :)

Please let me know if you have any question

The square root of 12 is approximately 3.4641.

The square root of 12 is an irrational number, meaning it cannot be expressed as a fraction or terminating decimal. However, we can approximate its value.

To approximate the square root of 12, we can use a calculator or perform an estimation. The square root of 12 is approximately 3.4641.

When we multiply 3.4641 by itself (3.4641 * 3.4641), we get a value very close to 12, but not exactly 12 due to the irrational nature of the square root.

The square root of 12 represents a number that, when multiplied by itself, equals 12. It is a non-repeating, non-terminating decimal that goes on infinitely. The approximation 3.4641 is commonly used to represent the square root of 12 in practical calculations.

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English translation of question is below

What is the square root of 12?

The best discrete variable of measurement for the situation is an interval.

Finding the scale of measurement for the variables is the next step in selecting a statistical test after identifying the independent and dependent variables. The dependent variable must be measured using an interval or ratio scale for each of the parametric tests that we have covered so far. Many psychologists also subject variables with roughly interval scales of measurement to parametric tests. You must decide whether to use "scale" or "interval" scores when performing parametric tests of means.

Given the condition about whether the race of the defendant has an impact on jury verdicts,

and measure on a 1 (not at all) to 7 (very) scale how guilty the defendant,

The best scale of measurement for the condition is an interval.

Although the interval scale has characteristics of nominal and ordered data, it also allows for the quantification of data point differences. The variables' actual positions in the order as well as their differences are both displayed by this form of data. They can be combined or split, but not added to or subtracted from. 

The fact that zero is an existing variable adds another characteristic to this scale. Zero in the ordinal scale indicates that there is no data.

Hence the scale of measurement is an interval.

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Answer: 18

Step-by-step explanation:

\(12(1.50)=18\)

Answer: C.  n = 4r + 50

Step-by-step explanation:

The equation is in the form: y =mx + c

y is the number of flowers used.

x is the row number.

Solving for m. Pick any two points. (1, 54) and (2, 58)

m = (Y₂ - Y₁) / (X₂ - X₁)

= (58 - 54) / (2 - 1)

= 4

Solving for c. Use a point to fill up the formula and find c; (1, 54)

y = mx + c

54 = 4 * 1 + c

c = 54 - 4

c = 50

Formula will therefore be;

y = 4x + 50

or;

n = 4r + 50

Answer:

B

Step-by-step explanation:

Answer:

----------------------

Using the Commutative property of addition, which states that the order of addends does not affect the sum, you can rewrite:

Now, the expression becomes:

Next, apply the Associative property of addition, which states that the grouping of addends does not affect the sum.

You can rearrange the terms as follows:

Then, combine the like terms:

Now the expression matches the given form:

This shows that the two expressions are equivalent using the Commutative and Associative properties of addition.

The initial price of the option should be $5.48 to avoid an arbitrage opportunity.

In options pricing, the Black-Scholes model is commonly used to determine the fair value of an option. According to this model, the price of an option is influenced by various factors, including the underlying stock price, time to expiration, interest rate, and volatility.

In this case, the underlying stock price is $50, and we want to sell an option to buy the stock for $55 in 2 years.

To calculate the initial price of the option, we can use the Black-Scholes formula. The formula incorporates the risk-free interest rate, which is given as 5% in this scenario.

The volatility of the stock, represented by σ, is 0.15. By plugging in these values along with the other parameters, we can calculate the fair value of the option.

The initial price of the option is determined by the market's expectation of future stock movements. If the option price is set too high, it presents an arbitrage opportunity for investors to profit without taking any risk. Conversely, if the option price is set too low, it could result in a loss for the option seller.

Therefore, setting the initial price of the option at $5.48 ensures there is no opportunity for riskless profit and eliminates any potential arbitrage.

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The complete question is:

The current price of a stock is $50 and we assume it can be modeled by geometric Brownian motion with σ=.15. If the interest rate is 5% and we want to sell an option to buy the stock for $55 in 2 years, what should be the initial price of the option for there not to be an arbitrage opportunity?

The test static used for this procedure is Aspin Welch's t-test.

What is Aspin Welch's T-test?

A variation of the Student's t-test used to determine if two sample means are substantially different is known as the Aspin Welch's T - test for Unequal Variances (also known as Welch's t-test, Welch's adjusted T, or unequal variances t-test). The test's degrees of freedom have been changed, which generally boosts the test's power for samples with unequal variance.

Formula for Aspin Welch's T - test

The t-statistic in Aspin Welch's T-test is given as,

t = \(\frac{X' - X}{\sqrt{\frac{S1^{2} }{N1^{2} } -\frac{S2^{2} }{N2^{2} } } }\)

Here, X' is the mean of the sample

X is the mean of the population

S1 and S2 are the respective standard deviations for the two samples

N1 and N2 are the respective strength of samples.

Calculating t-statistic for Aspin Welch's T-test

Given that,

X'-X = 1.33

\(\sqrt{\frac{S1^{2} }{N1^{2} } -\frac{S2^{2} }{N2^{2} } } = 2.90\)

∴ t = 1.33/2.90

t=0.458

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The area to the right of z = -1 for the standard normal distribution is approximately 0.8413.

a. To find the area to the right of z = -1 for the standard normal distribution, we need to calculate the cumulative probability using the standard normal distribution table or a statistical calculator.

From the standard normal distribution table, the area to the left of z = -1 is 0.1587. Since we want the area to the right of z = -1, we subtract the left area from 1:

Area to the right of z = -1 = 1 - 0.1587 = 0.8413

Therefore, the area to the right of z = -1 for the standard normal distribution is approximately 0.8413.

b. To answer this question, we would need additional information about the mean and standard deviation of the annual salaries for first-year college graduates. Without this information, we cannot calculate specific probabilities or make any statistical inferences.

If we are provided with the mean (μ) and standard deviation (σ) of the annual salaries for first-year college graduates, we could use the properties of the normal distribution to calculate probabilities or make statistical conclusions. Please provide the necessary information, and I would be happy to assist you further.

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It is true that the A shift is a type of permutation where elements in a sequence or set are moved to the right or left by a certain number of positions.

For example, shifting the sequence (1,2,3,4,5) to the right by 2 positions would result in the sequence (4,5,1,2,3). This can be represented mathematically as (1,2,3,4,5) → (4,5,1,2,3), which is a permutation of the original sequence. Shifts can be useful in various applications, such as cryptography or data compression, where rearranging elements in a sequence can improve efficiency or security.

True. A shift is a specific type of permutation. In general, a permutation refers to the arrangement of objects in a particular order. A shift, also known as a cyclic permutation, involves moving elements of a set in a fixed direction, such that the order is maintained, but the elements change positions. In a shift, the first element moves to the last position, while all other elements move one position forward. This maintains the relative order of the elements and results in a new arrangement. Therefore, a shift is a type of permutation, as it represents an altered ordering of the elements in a set.

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The statement that best describes Lucia's claim is at option (b), that is " Lucia's claim is incorrect since not all the rotations that are multiples of 45° carry a square onto itself".

It is given that, Lucia draws a square and plots the center of the square.

Lucia claims that " any rotation about the center of the square that is a multiple of 45° will carry the square onto itself".

To verify this claim, we need to construct a square (ABCD) as shown in the figure.

When the square ABCD is rotated about 45° where we can it is 1 × 45°, the square formed is A'B'C'D' is not the same as the actual one. So, they are not in symmetry after the rotation n this case.

If we rotate again, that is for the second multiple of 45° (2 × 45°), we get a square A''B''C''D''. But, now the square is similar to the actual one. So, they are in symmetry.

This means we can say that, not for all the multiples of 45° rotation, the square does not carry onto itself.

Therefore, we can conclude that "Lucia's claim is incorrect since not all rotations that are multiples of 45' carry a square onto itself".

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The possible change in volume (in mm3) resulting from the error in measuring the radius is 32. 06 mm³

Given,

A spherical golf ball is measured to have a radius of $$5 mm, with a possible measurement error of $$0.1 mm

How to determine the volume

The formula for volume of a sphere is expressed by;

Volume = 4/3 πr³

Where;

r is the radius of the sphere

pi takes the value 3.14

From the information given, we have that the measured radius is 5 mm, with a possible measurement error of 0.1 mm

Then, radius  a = 5mm

Radius b = 5 + 0. 1 = 5. 01mm

Now, substitute the values into the formula

Volume, v = 4/ 3 (3.14)(5)³

v = 4/ 3 (392.5)

v = 523. 3 mm³

For radius of 5.01mm

Volume =  4/ 3 (3.14)(5.1)³

expand the bracket

Volume = 4/3 (416.52)

Volume = 555. 4 mm³

The change in volume = 555. 4 - 523. 3 = 32. 06 mm³

Hence, the change in volume is 32. 06 mm³

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The correct statement is: "The domains of g(x) and f(x) are the same, but their ranges are not the same."

The statement "The domains of g(x) and f(x) are not the same, and their ranges are also not the same" is correct. In general, when considering functions g(x) and f(x) derived from a parent function, the transformations applied to the parent function can affect both the domain and the range. The domain of a function refers to the set of all possible input values, while the range represents the set of all possible output values. Through transformations such as shifts, stretches, compressions, or reflections, the domain and range of a function can be altered. Therefore, it is possible for the domains and ranges of g(x) and f(x) to differ from each other and from the parent function.

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Answer:

$16.50

Step-by-step explanation:

Total cost: $70.40

Per CD w/ tax: $70.40 ÷ 4 = $17.60

Price of CD w/out tax: $17.60 - $1.10 = $16.50

Step-by-step explanation:

3x + 1

=3x + 1

this is because a variable X is attached to the 3 so it makes the 3x and the 1 unlike

therefore you can not add them.

Answer:

-1/3

Step-by-step explanation:

3x+1=

3x=-1

3x/3=-1/3

x=-1/3

It is assumed that the line plot below depicts the number of letters written by Waverly middle school students to abroad pen pals. Each x stands for ten students.

Count the number of x in the supplied line plot first.

In the line plot, there are a total of 30 x. It denotes that there are a total of a certain number of students.

30x = 30 x x= 300

There are four x when the number of letters is six, and three x when the number of letters is twenty, as shown in the diagram.

This indicates that 40 pupils wrote six letters and 30 students wrote twenty.

More than 6 but fewer than 20 letters were written by pupils.

300 - 40 - 30 = 230

The answer is 230

Answer:

1

Step-by-step explanation:

The equation for money collected m for h boxes of chocolate bars sold is m = 30h.

We are given that the band is selling every bar of chocolate for $1.50

Now, they have boxes of chocolate, with every box containing 20 bars of chocolate in them.

Hence if we are going to calculate the amount of money collected on selling one box it will be

20 X $1.5

= $30

We need to find the equation for the amount of money collected based on the number of boxes of chocolate bars sold.

We have been given that money collected should be represented b m while the number of chocolate boxes sold should be represented by h

Now we know that

Money collected = price per box X no.of boxes sold

we have already calculated the price per box hence we get

m = 30h

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Answer:

the answer is d

Step-by-step explanation:

x is -2 and y is

Answer:

a) 30feet

b) 9.12feet

Step-by-step explanation:

a) Given the path of the ball is modeled by the equation y=-0.02(x-18)²+12​, where;

x is the​ ball's horizontal distance in feet from​ Amaya's position

y is the distance in feet from the ground to the ball.

The ball will be at the maximum height when dy/dx = 0

Differentiate the function:

dy/dx = 2(-0.02)(x-18)^(2-1)+0

dy/dx = -0.04(x-18)

Equate the resulting expression to zero and find x as shown;

-0.04(x-18) = 0

Open the parentheses

-0.04x+0.04(18) = 0

-0.04x+0.72 =0

-0.04x = -0.72

x = -0.72/-0.04

x = 18ft

Hence the ball is 18ft away from Amaya when it is at its maximum height

b) To get the balls height y when x = 30, we will substitute x = 30 into the equation given and calculate the value of y as shown:

y=-0.02(x-18)²+12

y = -0.02(30-18)²+12

y= -0.02(12)²+12

y = -0.02(144)+12

y = -2.88+12

y = 9.12 feet

Hence the Ball's height is 9.12feet when it crosses the net at x = 30.