Data was collected for a sample of organic snacks. The amount of sugar (in mg) in each snack is summarized in the histogram below. 2 4 6 8 10 12 14 amount of sugar (mg) 60 80 100 120 140 160 180 200 Frequency What is the sample size for this data set

The mean score of a random student (YY) is 574.5. the standard deviation of the random student's score (YY) is 8.

Given:

- Each correct question is worth 10 points.

- Every student receives an additional 555 bonus points.

Let's calculate the mean and standard deviation of YY:

Mean of YY:

The mean score, denoted as μY, can be calculated using the mean of XX (μX) and the scoring scheme:

μY = μX * 10 + 555

Substituting the value of μX from the given information:

μY = 1.95 * 10 + 555

μY = 19.5 + 555

μY = 574.5

Therefore, the mean score of a random student (YY) is 574.5.

Standard Deviation of YY:

The standard deviation of YY, denoted as σY, can be calculated using the standard deviation of XX (σX) and the scoring scheme:

σY = σX * 10

Substituting the value of σX from the given information:

σY = 0.8 * 10

σY = 8

Therefore, the standard deviation of the random student's score (YY) is 8.

Complete question: Mr. Gupta gave his students a quiz with three questions on it. Let X represent the number of questions

that a randomly chosen student answered correctly. Here is the probability distribution of X along with

summary statistics:

0

1

2

2.

3

X = # correct

P(X)

0.05

0.20

0.50

0.25

Mean: Hex = 1.95

Standard deviation: Ox 0.8

Mr. Gupta decides to score the tests by giving 10 points for each correct question. He also plans to give

every student 5 additional bonus points. Let Y represent a random student's score.

What are the mean and standard deviation of Y?

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The required probability is 3 √7 / 32.

Given, a square with sides of length 4 units and a red-shaded triangle with sides 3 units, 3 units and 4 units. We need to find the probability that a randomly selected point within the square falls in the red-shaded triangle.To find the probability, we need to divide the area of the red-shaded triangle by the area of the square. So, Area of square = 4 × 4 = 16 square units. Area of triangle = 1/2 × base × height.

Using Pythagorean theorem, the height of the triangle is found as: h = √(4² − 3²) = √7

The area of the triangle is: A = 1/2 × base × height= 1/2 × 3 × √7= 3/2 √7 square units. So, the probability that a randomly selected point within the square falls in the red-shaded triangle is:  P = Area of triangle/Area of square= (3/2 √7) / 16= 3 √7 / 32.

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Answer:

-9 7/15

Step-by-step explanation:

I took the test lol. Also if your in advanced you should know this!

In mathematics, a sequence is an ordered list of elements, often denoted by brackets or parentheses.

The term "a sequence of length n" refers to a sequence that contains a specific number of elements, where the number of elements is denoted by "n."

When the domain of a function is the set of natural numbers (N), it is called an infinite sequence. An infinite sequence can be thought of as an ordered list that continues indefinitely.

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Answer:

87

Step-by-step explanation:

Hope this helps! Pls give brainliest!

The linear function graphed is defined as follows:

y = 3x/2 - 3.

(third option).

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The graph crosses the y-axis at y = -3, hence the intercept b is given as follows:

b = -3.

When x increases by 2, y increases by 3, hence the slope m is given as follows:

m = 3/2.

Then the function is defined as follows:

y = 3x/2 - 3.

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Check the picture below.

The graph of h(x) = (x-1)^2 - 9 is a U-shaped parabola that opens upwards, with the vertex at (1, -9), and it extends indefinitely in both directions.

The function h(x) = (x-1)^2 - 9 represents a quadratic equation. Let's analyze the different components of the equation to understand the behavior of the graph.

The term (x-1)^2 represents a quadratic term. It indicates that the graph will have a parabolic shape. The coefficient in front of the quadratic term (1) implies that the parabola opens upwards.

The constant term -9 shifts the graph downward by 9 units. This means the vertex of the parabola will be at the point (1, -9).

Based on this information, we can draw the following conclusions:

The graph will be a U-shaped curve with the vertex at (1, -9).

The vertex represents the minimum point of the parabola since it opens upward.

The parabola will be symmetric with respect to the vertical line x = 1 since the coefficient of the quadratic term is positive.

The graph will extend indefinitely in both directions.

To accurately plot the graph, you can choose several x-values, substitute them into the equation to find the corresponding y-values, and then plot the points on the graph. Alternatively, you can use graphing software or calculators that can plot the graph of the equation for you.

Remember to label the axes and indicate the vertex at (1, -9) to provide a complete representation of the graph of h(x) = (x-1)^2 - 9.

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The triangle ABC with the given dimensions:AB = 10, BC = 6, CA = 90 are constructed.

The dimension of the triangle ABC are:

AB = 10

BC = 6

CA = 90

Thus, the triangle with the given dimensions are constructed.

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The required equation that represent the hanger is 10 + 5x = 11 and the value of x is 1/5.

Given the diagram of the hanger which one side has 10 + 5x  and other side has 11.

To find the equation, equate the expression of one side to the numerical value of the other side. On solving the equation gives the value of x.

Thus, the equation is 10 + 5x = 11.

Consider the equation 10 + 5x = 11

On subtracting 10 from each side gives,

5x = 1

Divide each side by 5 gives,

x = 1/5.

Hence,  the required equation that represent the hanger is 10 + 5x = 11 and the value of x is 1/5.

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Answer:

3^81 is bigger

Step-by-step explanation:

3^81=4.43426488e38

9^27=5.8149737e25

Answer:

6,7 is the answers for the question

Step-by-step explanation:

please give me brainlest

Answer: 2 3/4

Step-by-step explanation: 1/4 + 3/4 is 1 whole plus 1/4+1/4 would equal the 1/2 you need.

So we are up to 3/4 already. 1 3/4 + 3/4 = 2 1/2

We need to add 2 more to get to 4 1/2

So the answer would be 2 3/4

2 3/4 + 1 3/4 = 4 1/2

Answer:

It's a function

Step-by-step explanation:

Because non of the inputs have the same output

Answer: 71.57

Step-by-step explanation:

You are going to use SOH CAH TOA to find the angle

because the opposite and adjacent are the sides from the reference angle use TOA (tanΘ=opp/adj)

TanΘ=\(\frac{9}{3}\)

now use that tan^-1 (9/3) on your calculator (make sure your calc is in degree mode)

71.57

Answer:

Step-by-step explanation:

The third side could have dimension x

32 - 27 < x < 32 + 27

         5 < x < 59

There are a few special triangles

Equilateral triangle could have legs

27, 32, 27

or

32, 27, 32

A right triangle could have the third side

√(27² + 32²) = √1753 which is about 41.87

or

√(32² - 27²) = √295 which is about 17.18

Notice all these fit within the original limits specified.

Answer:

The third side is greater than 5 but less than 59.

Step-by-step explanation:

Remember: Given any two sides of a triangle, the length of the third side is greater than the difference but less than the sum of the length of the two given sides.

So 27 and 32       The given two sides

   32 - 27 = 5        Greater than the difference   (greater than 5)

   32 + 27 = 59     Less than the sum   (less than 59)

The probability that all three number cubes will land on an odd number is 1/8

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

Number of cubes = 3

Sections on each cube = 6

Odd sections on each cube = 3

This means that

P(Odd) = Odd sections/Total sections

So, we have the following representation

P(Odd) = 3/6

Simplify

P(Odd) = 1/2

For the three cubes, we have

P(All odd) = P(Odd)^Number of cubes

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

P(All odd) = (1/2)³

Evaluate

P(All odd) = 1/8

Hence, the probability is 1/8

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Answer: 1/8

    ;

 ; l       .

                        .

      /.         ;      

      .

Answer:

221.38

Step-by-step explanation:

i hope this is helpful for you

the original price was really "x", which oddly enough is the 100%, but today the collar is on sale at 15% off, that means the sale price is 100% - 15% = 85% of the original price, and we happen to know that's $3.91, so

\(\begin{array}{ccll} Amount&\%\\ \cline{1-2} x & 100\\ 3.91& 85 \end{array} \implies \cfrac{x}{3.91}~~=~~\cfrac{100}{85} \\\\\\ \cfrac{x}{3.91} ~~=~~ \cfrac{20}{17}\implies 17x=78.2\implies x=\cfrac{78.2}{17}\implies x=4.6\)

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

The functiοn f(x) = (1/3)(4x) evaluated at x = 4 is f(4) = 16/3.

The οriginal cοnceptiοn οf functiοns was the relatiοnship between varying quantities and οther variables. An illustratiοn οf this is hοw time affects a planet's pοsitiοn.

The idea was develοped histοrically with infinitesimal calculus at the end οf the 17th century, and until the 19th century, the functiοns that were taken intο cοnsideratiοn were differentiable (that is, they had a high degree οf regularity). At the clοse οf the 19th century, set theοry was used tο fοrmalise the idea οf a functiοn, greatly expanding its range οf pοssible applicatiοns.

Tο find the value οf f(4), we need tο substitute x = 4 in the given functiοn f(x):

f(x) = (1/3)(4x)

f(4) = (1/3)(4 * 4) (substitute x = 4)

f(4) = (1/3)(16)

f(4) = 16/3

Therefοre, the functiοn f(x) = (1/3)(4x) evaluated at x = 4 is f(4) = 16/3.

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The answer would be 228.295489891

Rounded to the nearest tenth it would 228.3

If angle 1 is congruent to angle 2, based on the converse of corresponding angles theorem, the lines that are parallel are: lines n and p.

If two lines are cut across by a transversal are parallel to each other, the corresponding angles on each of the lines are congruent based on the corresponding angles theorem.

Conversely, if two corresponding angles are congruent to each other, then the lines that lie on are parallel to each other.

Angles 1 and 2 in the diagram are corresponding angles.

Therefore, if angle 1 is congruent to angle 2, based on the converse of corresponding angles theorem, the lines that are parallel are: lines n and p.

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The width of the duck pond is,

⇒ 27 feet

We can see that the given diagram is a rectangle,

And we know that,

Rectangles are four-sided polygons with all internal angles equal to 90 degrees. At each corner or vertex, two sides meet at right angles. The rectangle differs from a square in that its opposite sides are equal in length.

Now, By given diagram we have;

We have to given that;

Use the scale drawing to determine how wide the duck pond is.

And there are 4.5 feet in 1 square,

Therefore,

1 square is equal to 4.5 feet

So, we get;

The width of the duck pond is,

⇒ 6 square

We know that,

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Then to find width of duck pond in feet,

Multiply 6 with 4.5

⇒ 6 × 4.5 feet

⇒ 27 feet

Thus, The width of the duck pond is,

⇒ 27 feet

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9514 1404 393

Answer:

  y = 1/5x -2

Step-by-step explanation:

When a point and slope are given, sometimes it is easiest to start with the point-slope form of the equation. Then it can be rearranged to the desired form.

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

  y -0 = 1/5(x -10) . . . . . line with slope 1/5 through point (10, 0)

  y = 1/5x -2 . . . . . . . eliminate parentheses to get slope-intercept form

_____

Note that the slope in the attached picture is 1/5, but your problem text says it is 5. Very different equations will result from these different slopes.

The equation that represent the number of penguins is (6 ×  4) + (3 × 6) + (3 × 6) = p.

A building has 6 homes per floor and 3 floors. On the first floor, there are 4 penguins per home. On the second and third floor, there are 3 penguins per home.

Therefore, the equation that can be used to find the total number of penguins living in the building is as follows:

Hence,

(6 ×  4) + (3 × 6) + (3 × 6) = p

where

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Answer:

The correct option is (D) one of the non-fiction books on the bottom shelf and a second non-fiction book from the bottom shelf.

Step-by-step explanation:

What is probability?

Probability is the branch of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely it is that a claim is true.

To find which 2 books describe a pair of dependent events:

A pair of two dependent events are simply those in which the selection of the second item is contingent on the selection of the first item, causing the probability to change.

Because the sample size is lowered when the initial item is taken without replacement, choosing the exact same item reduces the chance.

Now, in regard to the question, this means that for two of the occurrences to be independent, they must be on the same shelf and of the same type of book, so that the second book cannot be selected until the first one is.

Option D, where both books are on the same shelf and are of the same type, is the only option that fulfills this requirement.

Therefore, the correct option is (D) one of the non-fiction books on the bottom shelf and a second non-fiction book from the bottom shelf.

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The temperature at the bottom of the mountain is 50.9 °C.

Let's work through the given information step by step to find the temperature at the bottom of the mountain.

The temperature in the hotel is 21 °C.

The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.

Let's denote the temperature at the top of the mountain as T_top.

So, the temperature in the hotel can be expressed as T_top + 26.7 °C.

The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.

Let's denote the temperature at the bottom of the mountain as T_bottom.

So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.

Now, let's combine the information we have:

T_top + 26.7 °C = T_bottom - 3.2 °C

To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:

T_bottom = T_top + 26.7 °C + 3.2 °C

T_bottom = T_top + 29.9 °C

Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:

T_bottom = 21 °C + 29.9 °C

T_bottom = 50.9 °C

Therefore, the temperature at the bottom of the mountain is 50.9 °C.

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Answer: 5 (estimate)

Step-by-step explanation:

x - 17 4/5 = -13 1/5

Estimate:  x - 18 = -13

x - 18 + 18 = -13 + 18

x = 5

actual answer without estimating using exact numbers is 4 3/5 (so estimate is reasonable)