What is the function of x:0 2 4 6
Y: 2 1 0 -1

The answer of the above is, the expected probability that Alessandra to pick a blue marble 25 times out of 100.

An event is  subset of possible outcomes of experiment. In other words, an event is a particular occurrence or combination of occurrences that can happen when we perform a random experiment.

If the probability of picking a blue marble is , then the probability of not picking a blue marble (i.e., picking a marble of a different color) is . We can use this  occurrence information to calculate the expected number of times that Alessandra will pick a blue marble.

The expected number of times that Alessandra will pick a blue marble in 100 tries is:

100 × = × 100

= 25

So we expect Alessandra to pick a blue marble 25 times out of 100.

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Answer:

10%

Step-by-step explanation:

Step-by-step explanation:

To find (a-2)² + (b-3)², first we need to simplify a and b. a = 2 + √3 + √5 = 2 + 3√5 b = 3 + √3 - √5 = 3 - 2√5

Now we can substitute the simplified expressions for a and b into the original equation: (2 + 3√5 - 2)² + (3 - 2√5 - 3)² = (3√5 - 2)² + (-2√5 - 3)² Expanding and simplifying the equation gives us: 95 + 45 + 4 + 9 = 75 + 20 = 95

Answer:

D would be the greatest

Step-by-step explanation:

2.3 x 10 = 23

8.6 x 10 = 86

1.2 x 10 = 14

Answer:

there is only one solution, the answer is (A) one solution -0.6,-1.6.

Step-by-step explanation:

To find out how many solutions the system has, we can solve it using either substitution or elimination method. Let's use the elimination method here:

Y = (2/3)x + 2 --- equation 1

6x - 4y = -10 --- equation 2

To eliminate y, let's multiply equation 1 by 4:

4y = 8/3x + 8

Now, we can substitute this expression for 4y into equation 2 and simplify:

6x - (8/3x + 8) = -10

Multiplying both sides by 3 to get rid of the fraction:

18x - 8x - 24 = -30

Simplifying further:

10x = -6

x = -0.6

Now we can substitute x = -0.6 into either equation 1 or equation 2 to find y:

Using equation 1:

y = (2/3)(-0.6) + 2 = 1.6

Therefore, the solution to the system is (-0.6, 1.6).

Since there is only one solution, the answer is (A) one solution -0.6,-1.6.

Answer:

y ≥ -3x + 7

Step-by-step explanation:

first find the slope, m, using these 2 points:  (0,7) and (2,1)   always choose easy to read points

m = (1-7) / (2-0) = -6/2 = -3

y-intercept = b = 7   that's where the line intersects the y axis

y ≥ mx + b      use ≥ because it's a solid line and the shaded area is above the line

y ≥ -3x + 7

The image of the points are X'(3, 0), Y'(-4, -1), Z'(2, -5)

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

(90°, 0) (AXYZ) for X(0, 3), Y(1, -4), Z(5, 2)

This means that we rotate the points clockwise by 90 degrees

This is represented as

(x, y) = (y, -x)

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

X'(3, 0), Y'(-4, -1), Z'(2, -5)

So, the image are X'(3, 0), Y'(-4, -1), Z'(2, -5)

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Answer:

gsjkwieyejruieywusvbsuenebusne

Answer:

1.26×1.9-1.3

=2.394-1.3

=1.094

[tex]3\sqrt{2} (5\sqrt{12}) - 8 \sqrt{8} = 15\sqrt{24} - 16 \sqrt{2} = 30\sqrt{6} - 16 \sqrt{2}[/tex]

Answer:

1.  8 slices left.

2. 1/10, 1/9, 1/4, and 1/3.

3.  2/3, 3/4, 8/9, 10/11

4. it's ratio should be propertional

Step-by-step explanation:

1.

If there is two-thirds of a pizza left and the original pizza had a total of 3 slices, then there are 2 slices left because 2/3 of 3 is equal to 2.

If the original pizza had 12 slices, then two-thirds of it would be 8 slices (12 x 2/3 = 8), so there would be 4 slices left.

If the original pizza had 24 slices, then two-thirds of it would be 16 slices (24 x 2/3 = 16), so there would be 8 slices left.

2.

To order fractions from least to greatest, we need to find a common denominator.

The denominators are already small, so we can find the least common multiple (LCM) by inspection.

Multiples of 3: 3, 6, 9, 12, 15, 18, 21, ...

Multiples of 4: 4, 8, 12, 16, 20, 24, ...

Multiples of 9: 9, 18, 27, 36, ...

Multiples of 10: 10, 20, 30, 40, ...

We can see that the least common multiple of 3, 4, 9, and 10 is 180.

1/3 = 60/180

1/4 = 45/180

1/9 = 20/180

1/10 = 18/180

Now that we have converted the fractions to have a common denominator, we can compare them.

1/10 is the smallest fraction since its numerator is the smallest.

Next, we have 1/9 and 1/4. Since the denominators are the same, we can simply compare the numerators.

1/9 is smaller than 1/4, so we can write them in order as:

1/10, 1/9, 1/4

Finally, we have 1/3.

1/3 is bigger than all the other fractions, so the final order is:

1/10, 1/9, 1/4, 1/3

Therefore, the fractions from least to greatest are 1/10, 1/9, 1/4, and 1/3.

3.

To place these fractions in order from least to greatest, we can compare them by finding a common denominator.

Step 1: Find a common denominator for all the fractions. The least common multiple (LCM) of 3, 4, 9, and 11 is 396, so we can convert each fraction into an equivalent fraction with a denominator of 396.

2/3 = (2/3) x (132/132) = 264/396

3/4 = (3/4) x (99/99) = 297/396

8/9 = (8/9) x (44/44) = 352/396

10/11 = (10/11) x (36/36) = 360/396

Step 2: Arrange the fractions in order from least to greatest based on their values.

To do this, we can compare the fractions by finding their equivalent decimal values using division.

2/3 = 0.666666...

3/4 = 0.75

8/9 = 0.888888...

10/11 = 0.909090...

From this comparison, we can see that the fractions are in order from least to greatest: 2/3, 3/4, 8/9, 10/11

4.

The student's argument that 2/4 = 2/3 because both fractions have the same number of dots filled is incorrect. Even though both fractions have a numerator of 2, they have different denominators, which means they represent different amounts.

To help the student understand this concept, you could use a visual representation, such as drawing two rectangles of different sizes, with four and three dots respectively, and fill in two dots in each rectangle. Then you could point out that even though they have the same number of dots filled in, the rectangles are different sizes and therefore the fractions are different. You could also explain that to compare fractions, we need to find a common denominator, and that the fractions 2/4 and 2/3 are not equivalent because they have different denominators. Finally, you could offer additional practice problems to help the student reinforce their understanding of fractions and equivalent fractions.

The ending balance in Raw Materials is $132,900.

This includes the materials that the company has purchased but has not yet used in production.

here, we have,

A company's inventory balances typically include the following:

Raw Materials Inventory: This includes the materials that the company has purchased but has not yet used in production.

Work-in-Progress Inventory: This includes partially completed products that are still in the production process.

Finished Goods Inventory: This includes the completed products that are ready for sale but have not been sold yet.

The ending balance in Raw Materials can be calculated as follows:

Beginning balance in Raw Materials = $86,500

Add: Raw materials purchased during the year = $632,000

Total raw materials available for use = $718,500

Less: Raw materials used in production = $585,600

Ending balance in Raw Materials = $132,900

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Answer:

A) 707 cm^3

Step-by-step explanation:

In Given figure; we need to add volume of cylinder and volume of conical cylinder.

To find the volume, we do have different formula

For cylinder =пr^2 h

For conical cylinder= 1/3* пr^2 h

Now substituting value by identifying related radius and height

For cylinder = пr^2 h =3.14*5^2*7 =549.5 cm^3

For Conical cylinder = 1/3* пr^2 h=4/3*3.14*5^2*6=157 cm^2

Total volume of composite solid=volume of (cylinder+conical ) cylinder

=549.5 cm^3+157 cm^2=706.5cm^3 is equal to A) 707 cm^3

Answer:

sec(16π/9) ≈ -1.46

Step-by-step explanation:

We can use a calculator to compute the value of sec(16π/9).

On most calculators, we need to ensure that the calculator is set to radians mode. Then, we can enter the expression sec(16π/9) and evaluate it.

Using a calculator, we get:

sec(16π/9) ≈ -1.46

Rounding this to two decimal places, we get:

sec(16π/9) ≈ -1.46

Answer:

[tex] \frac{(x - 7)(x + 6)}{(x + 5)(x - 5)} [/tex]

Step-by-step explanation:

[tex]1. \: \frac{(x - 7)(x + 6)}{x {}^{2} - 25 } \\ 2. \: \frac{(x - 7)(x + 6)}{x {}^{2} - 5 {}^{2}} \\ 3. \: \frac{(x - 7)(x + 6)}{(x + 5)(x - 5)} [/tex]

Answer:

994

Step-by-step explanation:

(7^2 + (18/3 + 2^2))4^2

= (49 + (6 + 4))16

= (49 + 10)16

= (59)16

= 994

The slope of the line, the y- intercept, then graph the following

equations are as follows :

a. m=3 and b = -6.

b. m=1/2 and b = 5

What is slope of line ?

The slope of a line is a measure of how steep it is, or how much it rises or falls for each unit of horizontal distance traveled (i.e., the change in y divided by the change in x). It is often represented by the letter "m" and can be calculated using the formula:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are any two points on the line. The slope can be positive if the line is upward sloping from left to right, negative if it is downward sloping, or zero if it is horizontal. A line with an undefined slope is vertical. The slope is an important concept in algebra, geometry, and trigonometry, and is used to analyze and graph linear equations and functions.

a. y = 3x - 6

The equation is in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.

The slope of the line is 3, which means that for every increase of 1 unit in the x-direction, the y-value increases by 3 units.

The y-intercept is -6, which means that the line intersects the y-axis at the point (0, -6).

To graph the line, we can start at the y-intercept (0, -6), and use the slope to find another point. From the y-intercept, we can move up 3 units and over 1 unit to the right to get to the point (1, -3). We can continue this pattern to get more points and draw a line through them.

Here's a graph of the line y = 3x - 6:

b. y = (1/2)x + 5

Again, the equation is in slope-intercept form, y = mx + b.

The slope of the line is 1/2, which means that for every increase of 1 unit in the x-direction, the y-value increases by 1/2 unit.

The y-intercept is 5, which means that the line intersects the y-axis at the point (0, 5).

To graph the line, we can start at the y-intercept (0, 5), and use the slope to find another point. From the y-intercept, we can move up 1 unit and over 2 units to the right to get to the point (2, 6). We can continue this pattern to get more points and draw a line through them.

Here's a graph of the line y = (1/2)x + 5:

Therefore,

a. m=3 and b = -6.

b. m=1/2 and b = 5

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The coordinates of the point on the directed line segment is, (4, - 3).

A midpoint of a line (x, y) divides a line segment into two equal parts

by the formula x = (x₁ + x₂)/2 and y = (y₁ + y₂)/2.

Similarly, When a line segment divides another line segment in the ratio of m : n, The coordinates are,

x = (mx₂ + nx₁)/(m + n) and y = (my₂ + ny₁)/(m + n).

From the given information, The coordinate point of the directed line segment (x, y) would be,

x = (3×6 + 1×-2)/(3 + 1).

x = 16/4.

x = 4.

y = (3×-2 + 1×-6)/(3 + 1).

y = (- 6 - 6)/(4).

y = - 12/4.

y = - 3.

So, (x, y) ⇒ (4, - 3).

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[tex](5x+6)+(2x^{2} -7x+4) = 5x+6+2x^{2} -7x+4 = \\[/tex]

[tex]= 2x^{2} + (5x-7x) + (6+4) = \bf 2x^{2} - 2x + 10[/tex]

Answer:

The number is 3

Step-by-step explanation:

Let n = the number

7 + n = 4n - 2

Simplify

9 + n = 4n

9 = 3n

3 = n

Answer:

Step-by-step explanation:

m= -5/7

Answer:

Step-by-step explanation:

Let's start with the square array. The total number of coins in the square is the area of the square, which is (14 coins per side)^2 = 196 coins.

For the rectangular array, let's use "x" to represent the width (in coins) and "x+21" to represent the length (in coins). The total number of coins in the rectangular array is the product of the length and width, which is:

x(x+21) = x^2 + 21x

We don't know the exact number of coins in the rectangular array, but we do know that it's greater than or equal to 196 (the number of coins in the square array). So we can write:

x^2 + 21x >= 196

Now we can solve for x:

x^2 + 21x - 196 >= 0

We can factor this quadratic equation:

(x+28)(x-7) >= 0

The solutions are x <= -28 or x >= 7. However, since x represents the width (a positive quantity), we can ignore the negative solution. So we have:

x >= 7

This means that the width of the rectangular array must be at least 7 coins. To find the length, we can use x+21. If we make x=7, then the length would be 7+21=28. So the rectangular array would have 7 coins on the width and 28 coins on the length.

The zeros of the function are -3/2 and 3/2. So the correct option is -3/2 and 3/2.

What are the zeros of the function?

The zero of a function is any replacement for the variable that will produce an answer of zero. Graphically, the real zero of a function is where the graph of the function crosses the x‐axis; that is, the real zero of a function is the x‐intercept(s) of the graph of the function.

The zeros of f(x) = 4x² - 9 can be found by setting the function equal to zero and solving for x:

4x² - 9 = 0

Adding 9 to both sides:

4x² = 9

Dividing both sides by 4:

x² = 9/4

Taking the square root of both sides (remembering to include both the positive and negative roots):

x = ± 3/2

Therefore, the zeros of the function are -3/2 and 3/2.

So the correct option is: -3/2 and 3/2.

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I think the answer is letter A

Answer: 43

Explanation:

To find the probability that a birth is premature (less than 245 days), we need to find the standard score (z-score) for this value:

z = (245 - 267) / 15 = -1.47

Using a standard normal distribution table or calculator, we can find that the probability of a birth being premature is approximately 0.0714.

Therefore, the expected number of premature births in a sample of 599 newborn babies is:

Expected number = probability of premature birth x sample size

Expected number = 0.0714 x 599

Expected number ≈ 42.79

make me brainliest pls if i got it right :<

f has an absolute minimum at (t,y)= (-2, -10) and an absolute maximum at (t,y)= (2, 10).

A function is typically represented symbolically as f(x), where x is an element in the domain and f(x) is the corresponding element in the range. For example, the function f(x) = x² maps each number x in the domain of real numbers to the square of that number in the range of non-negative real numbers.

First, we find the critical points of f(t) within the given domain:

f'(t) = 3t² + 1

Setting f'(t) = 0, we get:

3t² + 1 = 0

t² = -1/3

This equation has no real solutions, which means there are no critical points within the given domain.

Next, we check the endpoints of the domain:

f(-2) = (-2)³ - 2 = -10

f(2) = 2³ + 2 = 10

Since f is a continuous function on a closed interval, the extreme value theorem guarantees the existence of an absolute minimum and an absolute maximum on the interval [−2, 2].

Therefore, the absolute minimum of f on [−2, 2] is -10, which occurs at t = -2. The absolute maximum of f on [−2, 2] is 10, which occurs at t = 2.

Therefore, f has an absolute minimum at (t,y)= (-2, -10) and an absolute maximum at (t,y)= (2, 10).

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The reflection of point A=(7,3) over the x-axis is A'=(7,-3)

To reflect the point A over the x-axis, we need to change the y-coordinate of the point while keeping the x-coordinate the same. The reflection of a point over the x-axis is found by taking the opposite of the y-coordinate.

So, for point A=(7,3), the reflection over the x-axis would be A'=(7,-3).

In other words, we can find the reflection of point A over the x-axis by using the formula A'(x,y) = A(x,-y).

Therefore, the reflection of point A=(7,3) over the x-axis is A'=(7,-3).

A'=(7,-3)

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Answer:

Ramakrishnan Inc had a net cash outflow of $7,350,000 from operating activities in 2021.

Step-by-step explanation:

To calculate the net cash flow from operating activities for Ramakrishnan Inc in 2021, we need to use the indirect method of the cash flow statement. We start with net income and adjust it for non-cash items and changes in working capital accounts. Here are the steps:

Start with net income: $15 million

Add back depreciation: $2,650,000

Adjust for the changes in working capital accounts:

Accounts receivable: $9 million increase (84 - 75)

Inventory: $11 million increase (121 - 110)

Accounts payable: $6 million increase (51 - 45)

Accrued wages and taxes: $1 million increase (19 - 18)

Total change in working capital: $25 million increase

Net cash flow from operating activities:

Net income + Depreciation - Change in working capital

$15 million + $2,650,000 - $25 million = -$7,350,000

Therefore, Ramakrishnan Inc had a net cash outflow of $7,350,000 from operating activities in 2021.

Answer:

-4 and -8

Step-by-step explanation:

-8×-4=32 cuz two minuses make positive

-8+-4=-12

The rule to obtain the coordinates of point C under a dilation about the origin (0,0) with a scale factor of 1/5 is given as follows:

(x,y) -> (0.2x, 0.2y).

A dilation happens when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.

The scale factor for this problem is given as follows:

k = 1/5

k = 0.2.

Hence the rule to obtain the coordinates is given as follows:

(x,y) -> (0.2x, 0.2y).

Meaning that to obtain the image of point C, we take the x-coordinate and the y-coordinate of point C and divide by 5 = multiply by 0.2.

The problem is incomplete, hence the general procedure involving the dilation is presented.

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The perimeter of the composite figure is equal to 36 feet and the area is equal to 36 square feet.

perimeter of the composite figure = 6 + 10 + 6 + 1 + 4 + 6 + 3

perimeter of the composite figure = 36 ft²

The composite figure is observed to be three rectangles, so we shall calculate for the areas of the three and then add the result to get the total area of the composite figure as follows:

area of the bigger vertical rectangle = 6 ft × 3 ft

area of the bigger vertical rectangle = 18 ft²

area of the middle rectangle = 6 ft × 2 ft

area of the middle rectangle = 12 ft²

area of the smaller vertical rectangle = 6 ft × 1 ft

area of the smaller vertical rectangle = 6 ft²

total area of the composite figure = 18 ft² + 12 ft² + 6 ft²

total area of the composite figure = 36 ft²

Therefore, the perimeter of the composite figure is equal to 36 feet and the area is equal to 36 square feet.

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