Help please, I'm very confused

Answer:

Vertical translation

Step-by-step explanation:

(a) If we draw 2 letters from a bag containing 26 letters of alphabet, and we return the letters in between the draws, the probability of drawing a "W" both the time is 1/676.

(b) If we toss two-cubes numbered 1 to 6 each time, then probability that we toss a 6 on first cube and a odd number on second cube is 1/12.

Part (a) : The letters in between the draws are returned, which means each draw is independent of the other.

So, the probability of drawing a "W" on any single draw is 1/26.

The probability of drawing a "W" both times is written as :

P(W and W) = P(W) × P(W) = (1/26) × (1/26) = 1/676,

Therefore, the probability of drawing a "W" both times is 1/676.

Part (b) : The probability of getting a 6 on the first-cube is = 1/6, and

The probability of getting an "odd-number" on the second cube is = 3/6, (because there are 3 odd numbers out of a total of 6 numbers).

The probability of 6 on first-cube and odd number on second, cube is written as ;

⇒ P(6 and odd) = P(6) × P(odd) = (1/6) × (3/6) = 1/12,

Therefore, the required probability is 1/12.

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The equation of the tangent line to the graph of ƒ at the point (2,1) is y = 3.142x - 3.283.

To find the equation of the tangent line to the graph of the function ƒ at the point (2,1), we can use the formula for the equation of a line:

y - y1 = m(x - x1)

where (x1, y1) is the point on the line and m is the slope of the line. The slope of the tangent line to the graph of ƒ at x = 2 is given by the derivative of ƒ at x = 2:

m = ƒ'(2)

Using a graphing calculator, we can find the derivative of ƒ at x = 2 by entering the function into the calculator and then finding the derivative at x = 2. Let's say we find that ƒ'(2) = 3.14159.

Now we have all the information we need to write the equation of the tangent line to the graph of ƒ at the point (2,1):

y - 1 = 3.14159(x - 2)

Simplifying, we get:

y = 3.14159x - 3.28318

Rounding to three decimal places, we have:

y = 3.142x - 3.283

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Answer: not compleatly sure but its possibly C  

The required value of the x is 13 in the measures of the angle.

Given that,

Line A and B are parallel lines and intersect by a transversal line.

Here,

If a pair of parallel lines intersect by the transversal line then their corresponding angles are equal in measure,

Thus, we get;

8x + 2 = 14x - 76

6x = 78

x = 78 / 6

x = 13

Thus, the required value of the x is 13 in the measures of the angle.

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The most appropriate one-sample test of hypothesis to test the belief that the average tenure of a U.S. worker is 4.6 years is option (c) a lower one-tailed test.

The reason for this is that the article states a specific average tenure of U.S. workers (4.6 years), and the hypothesis we want to test is whether this average tenure is lower than this value or not. We are not interested in whether the average tenure is higher than 4.6 years, so a two-tailed test or an upper one-tailed test would not be appropriate.

Therefore, we would use a lower one-tailed test to test the null hypothesis that the average tenure of U.S. workers is 4.6 years or higher, against the alternative hypothesis that the average tenure is lower than 4.6 years. We would then use statistical analysis to determine whether the evidence supports rejecting the null hypothesis in favor of the alternative hypothesis.

Therefore, the correct option is (c) a lower one-tailed test

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The greatest number of 40-kilogram crates that can be loaded onto the trailer = 24

Let us assume that n represents the greatest number of 40-kilogram crates that can be loaded onto the trailer.

The greatest amount of weight that can be loaded onto the trailer is 1,050 kilograms.

Here, 82-kilogram crate has already been loaded onto the trailer.

From this information, we can formulate an equation as,

1050 = 82 + (40 × n)

We solve above equation for n.

40n = 1050 - 82

n = 968 / 40

n = 24.2

As the number of crates can not be a decimal number.

n ≈ 24

This is the greatest number of 40-kilogram crates that can be loaded onto the trailer.

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230.26

"How so?"

First of all, formulate: 70.2% x 328

Then convert the percentage to decimals: 0.702 x 328

Now calculate the quotient: 230.256 and round it: 230.26

I apologize if anything is incorrect! Have a good day and good luck! <3

Answer: 230.58

Step-by-step explanation:

To find 70.2% of 328, we multiply 70.2% (or 0.702 as a decimal) by 328:

0.702 x 328 = 230.5776

Rounding this to the nearest hundredth gives:

230.58

Therefore, 70.2% of 328 rounded to the nearest hundredth is 230.58.

Answer:

If 4 units equal 16 ounces, we can find the value of 1 unit by dividing both sides by 4:

4 units = 16 ounces

4 units ÷ 4 = 16 ounces ÷ 4

1 unit = 4 ounces

So, 1/4 x 16 ounces = 4 ounces.

4/1 is the answer in fraction :)

Karim and Ali have different conclusions about the closure property for whole numbers and integers because when two whole numbers are subtracted, the result may not be a whole number, but when two integers are subtracted, the result is always an integer. Therefore, integers are closed under subtraction, but whole numbers are not.

Karim and Ali, both  have different conclusions about the closure property for whole numbers and integers because of their definitions.

Whole numbers are defined as all positive integers, including zero. When two whole numbers are subtracted, the result may not be a whole number because the result may be a negative number.

For example, when 3 is subtracted from 2, the result is -1, which is not a whole number.

Integers, on the other hand, are defined as all positive and negative whole numbers, including zero. When two integers are subtracted, the result is always an integer because the result may be a negative or positive number, but it will always be a whole number.

For example, when 3 is subtracted from 2, the result is -1, which is still an integer.

Therefore, Karim and Ali have different conclusions because whole numbers are not closed under subtraction, but integers are closed under subtraction.

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The total amount that the invisible man will pay for the chair is $9, 240.

Seeing as this is simple interest, the total amount paid for the chair would be the total amount the man pays the bank after 5 years:

= Principal borrowed x Interest rate x Time

= 6, 600 x 8 % x 5

= 6, 600 x 40 %

= $ 2, 640

The total amount the invisible man would pay is:

= Cost of chair + Interest over 5 years

= 6, 600 + 2, 640

= $ 9, 240

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This is an example of a correlation between the two variables, where they tend to change together in a predictable way, but it does not necessarily imply causation.

This is an example of a correlation between the two variables. When two variables are correlated, they tend to change together in a predictable way. In other words, when one variable goes up, the other tends to go up as well, or when one variable goes down, the other tends to go down as well.

It's important to note that correlation does not necessarily imply causation. Just because two variables are correlated, it does not mean that one causes the other. There may be other factors that influence both variables, or the correlation may be coincidental. To establish causation, a more rigorous study design and analysis is required.

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Answer:

x=12

Step-by-step explanation:

given: 9(x-11)=9

Distribution: 9x-99=9

Simplify:(common denominator is 9) x-11=1

x=12

Step-by-step explanation:

multiply the 9 in the brackets, so the equation will be 9x-99=9.

next move -99 to the other side and change its sign

making the equation 9x=108

now diveide both sides by 9 to leave x alone.

x=12 is the final answer;)

1)The probability that the team will pull a hamstring muscle = 0.240. 2)The probability that the team will experience a pulled hamstring muscle between the 15th and 25th minute of the game = 0.020.

Given that hamstring injuries on the team follow an exponential distribution with an average time between injuries of 342 minutes, we can use the formula for the exponential distribution to answer the following questions:

1)The time duration of a game is 90 minutes. Therefore, the probability of a hamstring injury occurring during a game can be calculated as follows:

λ = 1/342 injuries per minute (since on average there is one injury every 342 minutes)

t = 90 minutes (duration of a game)

P(X ≤ t) = 1 - e^(-λt)

P(X ≤ 90) = 1 - e^(-1/342 * 90) ≈ 0.2399

So the probability that the team will pull a hamstring muscle in the next game is approximately 0.2399 (or 0.240 when rounded to 4 decimal places).

2)The probability of a hamstring injury occurring between the 15th and 25th minute of the game can be calculated as follows:

λ = 1/342 injuries per minute (since on average there is one injury every 342 minutes)

t1 = 15 minutes (starting time)

t2 = 25 minutes (ending time)

P(t1 < X ≤ t2) = e^(-λt1) - e^(-λt2)

P(15 < X ≤ 25) = e^(-1/342 * 15) - e^(-1/342 * 25) ≈ 0.0199

So the probability that the team will experience a pulled hamstring muscle between the 15th and 25th minute of the game is approximately 0.0199 (or 0.020 when rounded to 4 decimal places).

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The radius of the circle as given is; 3.

The center of the circle as given is; (-4, 1).

It follows from the task content that the center and radius of the given circle image and radius are to be determined.

Recall, the center-radius equation of a circle takes the form;

(x - h)² + (y - k)² = r² where center is; (h, k) and radius is r.

By observation of the graph as well as the given equation of the circle, the pair of coordinates for the center is; (-4, 1).

Also, since the radius is the distance from the center to any point on the circumference of the circle; the radius of the circle is; 3.

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Answer:

x = 2, y = -3 and z = 1.

Step-by-step explanation:

3x+4y-z=-7  ............. A

X-5y+2z=19 ..............B

5x+y-2z=5  ...............C

Adding equations B and C to eliminate z:

6x - 4y + 0 =  24

6x - 4y = 24.............D

Now we multiply Equation A by 2:-

6x + 8y - 2z = -14

Now adding this to equation B, ( again to eliminate z) we get equation E:

7x + 3y = 5 -----------E

Bring down equation D:

6x - 4y = 24.............D

Multiplying  E by 4 and D by 3:

28x + 12y = 20

18x - 12y = 72

Adding:

46x = 92

x = 2.

and substituting in equation D

6(2)- 4y = 24

-4y = 12

y = -3.

Finally we find z by substituting in equation A:

3(2) + 4(-3) - z = -7

-z = -7 - 6 + 12

-z = -1

z = 1.

so let's say A(-3 , -10) and B(9 , 5), so that point C partitions it in a 1 : 2 ratio from A to B

[tex]\textit{internal division of a line segment using ratios} \\\\\\ A(-3,-10)\qquad B(9,5)\qquad \qquad \stackrel{\textit{ratio from A to B}}{1:2} \\\\\\ \cfrac{A\underline{C}}{\underline{C} B} = \cfrac{1}{2}\implies \cfrac{A}{B} = \cfrac{1}{2}\implies 2A=1B\implies 2(-3,-10)=1(9,5)[/tex]

[tex](\stackrel{x}{-6}~~,~~ \stackrel{y}{-20})=(\stackrel{x}{9}~~,~~ \stackrel{y}{5}) \implies C=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{-6 +9}}{1+2}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{-20 +5}}{1+2} \right)} \\\\\\ C=\left( \cfrac{ 3 }{ 3 }~~,~~\cfrac{ -15}{ 3 } \right)\implies C=(1~~,~-5)[/tex]

The exact spread of the t-distribution depends on the number of degrees of freedom. (Option A)

The t distribution is a probability distribution that is used in hypothesis testing and confidence interval estimation when the population standard deviation is unknown. It is similar to the standard normal distribution, but its spread (or variability) depends on the sample size and the number of degrees of freedom (df).

The degree of freedom (df) is a parameter that determines the shape of the t distribution. It is defined as the number of observations in the sample minus one (df = n-1), where n is the sample size. As the sample size increases, the t distribution becomes closer to the normal distribution, which has infinite degrees of freedom.

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The annual interest rate of the account is 3.5%

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

Principal = 12000

Time = 14 years

Amount = 17880

The amount of simple interest is calculated using

A = P(1 + RT)

Substitute the known values in the above equation, so, we have the following representation

12000 * (1 + R * 14) = 17880

So, we have

(1 + R * 14) = 1.49

This gives

14R = 0.49

Divide

R = 3.5%

Hence, the interst is 3.5%

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The area of the given tile is 36.5 cm² which is in the form of trapezoid

A trapezoid is a four-sided geometric shape with one pair of parallel sides.

The two non-parallel sides are usually referred to as the "legs" and the other two sides are the "bases".

A trapezoid can be either isosceles or non-isosceles depending on the angles of the legs. A trapezoid can also be equilateral if all four sides have equal lengths.

The area of the tile can be calculated by using the formula for the area of a trapezoid, A = (a+b)/2× h

where a and b represent the parallel sides, and h represents the height.

In this case, a = 5 cm, b = 6 cm, and h = 3 cm

A = (5 + 6)/2 × 3

= 36.5 cm².

Hence, the area of the given tile is 36.5 cm²

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Answer:

Step-by-step explanation:

im not compleatly sure but i think its C

Answer:

1. 25.74

2. 13.13

3. 9.31

4. 13.47

Step-by-step explanation:

1. solution: C=  (A^2 + B^2 - 2 ab cosy) = C= (10^2 + 19^2 - 2 * 10 * 19 cos (122 degrees) = 25.73654 rounded to the nearest 10 is 25.74

2. Solution: C= (A^2 + B^2 - 2 ab cosy) = C= (14^2 + 8^2 - 2 * 14 * 8 * cos (67 degrees) = 13.13302 rounded to the nearest 10 is 13.13

3. Solution: C=(A^2 + B^2 - 2 ab cosy) = C= (15^2 + 13^2 - 2 * 15 * 13 * cos (38 degrees) = 9.30998 rounded to the nearest 10 is 9.31

4. Solution: C=(A^2 + B^2 - 2 ab cosy) = C= (34^2 + 26^2 - 2 * 34 * 26 * cos (21 degrees) = 13.46959 rounded to the nearest 10 is 13.47

Hope this helped  

The value of

1. sin(tetha) = 8/√89

2. cos(tetha) = 5/√89

3. sec(tetha) = √89/5

4. cosec(tetha) = √89/8

5. cot( tetha) = 5/8

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.

Sin(tetha) = opp/hyp

tan(tetha) = opp/adj

cos(tetha) = adj/hyp

This means that, since tan(tetha) = 8/5 , the adj is 5 and the opp is 8

Using Pythagorean theorem,

hyp = √opp²+adj²

hyp = √8²+5²

hyp = √64+25

hyp = √89

therefore;

sin(tetha) = 8/√89

cos(tetha) = 5/√89

sec(tetha) = 1/cos(tetha) = √89/5

cosec(tetha) = 1/sin(tetha) = √89/8

cot (tetha) = 1/tan(tetha) = 5/8

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The area of the side walk is is 138.16m²

A circle is simply a round shape that has no corners or line segments. It is a closed curve shape in geometry. The points of circle are at a fixed distance from the center.

The area of a circle is expressed as;

A = πr²

The area of the pathway = area of big circle - area of small circle

The diameter of the big circle = 20+4 = 24m

Area of big circle = 3.14 × 12²

= 452.16m²

Area of the small circle =

3.14 × 10²

= 314m²

therefore the of the path way = 452.16 - 314m²

= 138.16m²

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Answer:

For question 1 the answer is C, and for question 2 the answer is A

Step-by-step explanation:

For Question 1

A histogram can be used to compare the height of different students

For Question 2:

Boxplots are a great way to visualize interquartile ranges and their relation to the median and the overall distribution. These graphs display ranges of values based on quartiles and show asterisks for outliers that fall outside the whiskers.

- Hope this helps

The statements 'all squares are similar' and 'all equilateral triangles are similar' is true among the given statements.

Similar shapes refer to shapes with the same angles but sides of varying magnification. We can also say the ratio in dimensions of corresponding sides is in proportion.

In the case of isosceles triangles, the angles of each triangle can be unique and to say the sizes are in proportion to each other might not be true for every case. Thus, we can't say that all isosceles triangles are similar to each other.

In the case of rectangles, though the angles of each rectangle are equal and are 90°, to say the sizes are in proportion to each other might not be true for every case as the length and breadth may vary without any proper ratio. Thus, we can't say that all rectangles are similar to each other.

In the case of squares, the angles of each side of the square are equal and are 90°, and since all sides are equal to each other, the sides are also in proportion. Thus, we can say that all squares are similar to each other.

In the case of equilateral triangles, the angles of each side of an equilateral are equal and are 60°, and since all sides are equal to each other, the sides are also in proportion. Thus, we can say that all equilateral triangles are similar to each other.

In the case of right triangles, only one of the angles of each triangle is equal and is 90°, to say the sizes are in proportion to each other might not be true for every case as each side may vary without any proper ratio. Thus, we can't say that all right triangles are similar to each other.

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A pie chart is effective for demonstrating percentages that make up a whole. It shows the proportions of a whole by dividing it into slices, where the size of each slice represents the percentage of the whole that it represents.

Pie charts are commonly used to represent data such as market share, budget allocations, or demographic breakdowns.

They are useful for quickly conveying the relative sizes of different categories within a dataset.

However, pie charts may not be as effective for showing trends over time, where things are located on a map, or relationships between variables, as other types of graphs such as line charts, maps, or scatter plots may be more appropriate for these purposes.

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Without additional information, it is not possible to determine the measure of 5. The angles formed by the traversal and the parallel lines can have various measures depending on the specific arrangement of the lines and the traversal.

Answer: I'm going to have to agree with the person whom of which answered before me. It would be a vain attempt to try to find the answer to this conundrum without further information.

Step-by-step explanation:

Answer:

[tex] \sqrt{ {( - 3 - ( - 5))}^{2} + {( - 4 - 2)}^{2} } [/tex]

[tex] \sqrt{ {2}^{2} + {( - 6)}^{2} } [/tex]

[tex] \sqrt{4 + 36} = \sqrt{40} = 2 \sqrt{10} [/tex]

Answer:

Step-by-step explanation:

In a right-angled triangle, one of the angles is always 90° (the right angle). The tangent of an angle is defined as the ratio of the length of the opposite side to the length of the adjacent side.

However, in the case of a right-angled triangle, there is no side opposite to the 90° angle. The opposite side is the side that is opposite to one of the acute angles, and the adjacent side is the side that is adjacent to that acute angle. Since there is no acute angle opposite to the 90° angle, there is no opposite side to the 90° angle.

Therefore, the tangent of 90° is undefined because there is no opposite side to the 90° angle in a right-angled triangle. Mathematically, we can say that:

tan(90°) = opposite/adjacent = undefined/adjacent

Since the opposite side is undefined, the value of the tangent is undefined.