Let M be the event that a randomly chosen person has a master's degree. Let B be the event that a randomly chosen person was a business major. Place the correct event in each response box below to show:

Given that the person has a master's degree, the probability that a randomly chosen person was a business major.

The image of the point (-9,7) after a rotation of 180 counterclockwise about the origin is at (9, -7).

Dilation is a process for creating similar figures by changing the size.

Rotation of a point P(x, y) 180 counterclockwise about the origin produces an image at P'(-x, -y).

Here, the point counterclockwise about the origin → (-(-9), -7).

Therefore, the image of the point (-9,7) after a rotation of 180 counterclockwise about the origin is at (9, -7).

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Answer:

least to greatest- -1.25, -2/3, 2.75, 4, 9/2

Step-by-step explanation:

Answer:...

Step-by-step explanation:

Answer:

Step-by-step explanation:

444

Answer:

372

Step-by-step explanation:

We know that a ratio of 3 : 2 has 5 people, so figuring out how many times that ratio goes into our total number helps us find the value of the total number of adults.

930 / 5 = 186

This means that there are 186 groups of 3 children to 2 adults

So, in each of the 186 groups, there are 2 adults.

Therefore, we can multiply (186)(2)

to find the total number of adults: 372

The number of the children and adult will be 558 and 372.

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

At a swimming pool, the ratio of children to adults was 3 : 2.

C / A = 3 / 2

Then solve the equation for C, then the equation will be

C = (3/2)A

The total number of the people is 930. Then the equation will be

C + A = 930

Substitute the value of C in the above equation. Then the equation will be

(3/2)A + A = 930

     (5/2)A = 930

            A = 930 x (2/5)

            A = 372

The number of the adult will be 372.

Then the number of the children will be

C + 372 = 930

         C = 930 – 372

         C = 558

The number of the children will be 558.

Thus, the number of the children and adult will be 558 and 372.

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Answer:

x = -3

Step-by-step explanation:

I assume we're solving for x.

9x -5x = -12

Combine like terms.

4x = -12

Divide both sides by 4.

x = -3

Here's an implementation of the "count_element" function in OCaml:

 | x :: xs -> count (if x = m then acc + 1 else acc) xs

 in count 0 l

ocaml

let count_element l m =

 let rec count acc = function

   | [] -> acc

  x = m, then acc + 1; otherwise, acc) | x:: xs -> count 0 xs in count

The function takes a list l and a value m to count, and returns the number of elements in the list that are equal to m. The function uses tail recursion by accumulating the count of matching elements in the acc variable, which is passed along with the remaining list to the recursive call.

The base case is when the input list is empty, in which case the accumulated count is returned. The recursive case checks whether the head of the list matches the target value, and updates the accumulator accordingly. The function then recurses on the tail of the list.

Note that the function is not specific to any particular type of elements in the list, so it should work with any type that supports equality.

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Answer:

To find the zeros of the function g(x), we need to set g(x) equal to zero and solve for x.

g(x) = x² - 3x - 10 = 0

To solve for x, we can use the quadratic formula:

x = (-b ± sqrt(b² - 4ac)) / 2a

where a, b, and c are the coefficients of the quadratic equation ax² + bx + c = 0.

In this case, a = 1, b = -3, and c = -10.

x = (-(-3) ± sqrt((-3)² - 4(1)(-10))) / 2(1)

x = (3 ± sqrt(49)) / 2

x = (3 ± 7) / 2

So the two zeros of the function g(x) are x = 5 and x = -2.

Therefore, the correct answer is A: The zeros are 5 and -2, because the factors are (x - 5) and (x + 2).

Step-by-step explanation:

Two lines that are parallel have the same slope. If we make \(x - 3y = 15\) in to slope-intercept form it'll be like this:

\(x - 3y = 15 \\ -3y = 15 - x \\ y = \frac{15 - x}{-3} \\ y = \frac{1}{3}x - 5\)

Now we know \(y = \frac{1}{3}x - 5\\\) as its slope-intercept form we can see the slope is \(\frac{1} {3}\\\).

\(y = \frac{1}{3}x + 4\\\) has the same slope as \(y = \frac{1}{3}x - 5\\\) so they are both parallel.

\(y = \frac{1}{3}x + 4\\\)

The probability Julian chooses a blue hat is 1/3.

Probability refers to the branch of math which deals with finding out the likelihood of the occurrence of an event.

Total hat is:

= 25+20+40+30+25+1

= 150.

There are a total of 150 hats to choose from.

The number of blue hats to choose from is:

= 40 + 10

= 50.

The probability that Julian chooses a blue hat is:

= 50/150

= 1/3

= 0.33 or 33.33%.

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The definite integral for this problem has the result given as follows:

\(\int_1^5 x^2 + 2x - \tan{x} dx = 212 - \ln{|\sec{5}|} + \ln{|\sec{1}|}\)

The definite integral for this problem is defined as follows:

\(\int_1^5 x^2 + 2x - \tan{x} dx\)

We have an integral of the sum, hence we can integrate each term, and then add them.

For the first two terms, applying the power rule, the integrals are given as follows:

The integral of the tangent is given as follows:

ln|sec(x)|

Then the integral is given as follows:

I = x³/3 + x² - ln|sec(x)|, from x = 1 to x = 5.

Applying the Fundamental Theorem of Calculus, the result of the integral is obtained as follows:

I = 5³/3 + 5² - ln|sec(5)| - (1³/3 + 1² - ln|sec(1)|)

I = 625/3 - 1/3 + 5 - 1 - ln|sec(5)| + ln|sec(1)|

I = 208 + 5 - 1 - ln|sec(5)| + ln|sec(1)|

I = 212 - ln|sec(5)| + ln|sec(1)|.

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Answer:

Step-by-step explanation:

You want to identify the given shapes as a regular or irregular polygon, or neither.

A regular polygon is one that has all sides congruent, and all interior angles congruent. Polygon E is marked as having congruent sides and congruent angles.

Polygon E is a regular polygon.

A polygon is a closed figure formed by line segments connected end-to-end. A simple polygon is one that has no intersecting line segments. A convex polygon is one that has all interior angles measuring 180° or less.

Any simple polygon that is not a regular polygon is an irregular polygon.

Polygons A, B, D are irregular polygons.

A circle is not a polygon. Figure C is neither a regular polygon nor an irregular polygon.

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Answer:

He can order 4 toppings

Step-by-step explanation:

600-325=275

$2.75 left

275/065=4.2

Answer:

A

Step-by-step explanation:

Answer: 21.3m

Step-by-step explanation:

The height of the kite of the ground would be calculated as:

We have to calculate the question using a right angled triangle that has angle ACB as 90° while angle CAB will be 40°.

Therefore, the height of the kite would be:

= 30 sin 40 + 2

= 30 (0.6428 ) + 2

= 19.284 + 2

= 21.284 m

= 21.3 m

\($\cos X = \frac{\text{adjacent}}{\text{hypotenuse}} = \boxed{\frac{15}{17}}$\)

El máximo común divisor es 12

Por cierto, hablo inglés, así que estoy usando Google Translat. :)

The three integers are 24, 26 and 28 respectively.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given are three consecutive even integers.

Assume that the integers are -

x, (x + 2), (x + 4)

According to question -

x + x + 2 = x + 4 + 22

2x + 2 = x + 26

x = 24

x + 2 = 26

x + 4 = 28

Therefore, the three integers are 24, 26 and 28 respectively.

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Using the z-distribution, as we are working with a proportion, the minimum sample size required to ensure a 90% confidence interval for p to within 0.02 is of 1692.

A confidence interval of proportions is given by:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which:

The margin of error is of:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In this problem:

Then, solving for n:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(0.02 = 1.645\sqrt{\frac{0.5(0.5)}{n}}\)

\(0.02\sqrt{n} = 1.645(0.5)\)

\(\sqrt{n} = \frac{1.645(0.5)}{0.02}\)

\((\sqrt{n})^2 = \left(\frac{1.645(0.5)}{0.02}\right)^2\)

\(n = 1691.3\)

Rounding up, a sample size of 1692 is needed.

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Answer:

32

Step-by-step explanation:

2x+6=5x-9

3x=15,

x=5

2(5)+6=10+6=16

5(5)-9=25-9=16

16+16=32

Answer:

D

Step-by-step explanation:

When rounding, the number 5 is rounded up. So the number 387.352 will be rounded up 387.4. Other options are not suitable. Correct answer is "D"

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Answer:

V = 460.68

Step-by-step explanation:

V=(lwh)/3

The correct equation that matches the given graph is y = cos(x) + 1.

To determine the equation that matches the given graph, we can observe the key features and points provided.

The waveform starts from the y-axis at 1 unit: This suggests that the function has a vertical shift of 1 unit upwards.

The waveform passes through (π, -1), (2π, 1), and (3π, -1): This indicates that the function oscillates between the values of -1 and 1 as x increases.

The waveform intercepts the x-axis at π/2, 3π/2, 5π/2, and 7π/2: This suggests that the function has zeros or x-intercepts at these values.

Based on these observations, the function can be represented as a cosine function.

The cosine function with a vertical shift of 1, oscillating between -1 and 1, and having zeros at π/2, 3π/2, 5π/2, and 7π/2 is:

y = cos(x) + 1

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Answer:  blue water: 00

               Yellow water: 000

Step-by-step explanation:

just show how many parts

Answer:

Parallel!

Step-by-step explanation:

If you put these points on a graph and connect the dots to be two lines, they are perfectly side to side :)

The completed blanks in Nyala's solution that is used to prove that the measure of angle x is 40° is as follows;

If we perform a 180° rotation about the point O the following happens

Ray \(\overleftrightarrow{EF}\) maps unto ray \(\overleftrightarrow{GH}\)

Ray \(\overleftrightarrow{GH}\) maps unto ray \(\overleftrightarrow{FE}\)x

\(\overleftrightarrow{FG}\) maps unto itself

Therefore, the image of angle x will be exactly where the pre-image of 40° was. Since rotation preserve angle measure, the measure of angle x must be 40°.

The measure of an angle is the degree of rotation between the initial side and the terminal side of the angle.

The details of the method Nyala used to prove that the measure of the angle x is 40° can be found as follows;

The rotation of a line 180° about the center of the line maps onto itself, and the rotation of a line about a non colinear point, is parallel to the original line.

Whereby the center of rotation of the line \(\overleftrightarrow{EF}\) is equidistant from both the line \(\overleftrightarrow{GH}\) which is parallel to the line \(\overleftrightarrow{EF}\), the image of the line \(\overleftrightarrow{EF}\) maps to the line \(\overleftrightarrow{GH}\) following a 180° rotation about the point O, and the rotation of the line \(\overleftrightarrow{FG}\) about the point O maps unto itself, such that the angle x maps to the angle 40°, therefore;

∠x ≅ 40° (A rotation transformation is a rigid transformation)

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The nearest whole number, we get x = 12. We can find the value of x by using the law of sines. The law of sines states that the ratio of the sine of an angle of a triangle to the length of the side opposite that angle is the same for all three angles of the triangle.

In this case, the angle opposite x is 24 degrees, and the side opposite x is 24 units. Therefore, we have:

sin(24°)/x = sin(C)/24

Solving for x, we get:

x = 24 x sin(24°) / sin(C)

Plugging in the values of the angles, we get:

x = 24 x sin(24°) / sin(120°) = 12.02

The nearest whole number, we get x = 12.

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Answer:

$1,025

Step-by-step explanation:

(205000)(.015)/3  =  1025

James will receive or earn $1,025