8/9 with a exponet of 0

The fate of the 22 checked bags can be considered the Bernoulli trials.

A Bernoulli trial is a random experiment with two possible outcomes, often referred to as a "success" or "failure." In the context of the lost luggage problem, success would be a checked bag that is not misplaced, and failure would be a checked bag that is misplaced.

For a set of trials to be considered Bernoulli trials, the following conditions must be met:

In this case, the fate of the 22 checked bags can be considered Bernoulli trials if the following conditions are met:

Therefore, the fate of the 22 checked bags can be considered Bernoulli trials.

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When we combine numbers and variables in a valid way, using operations such as addition, subtraction, multiplication, division, exponentiation, and other operations and functions as yet unlearned, the resulting combination of mathematical symbols is called a mathematical expression

Answer:

452.16 m²

Step-by-step explanation:

Given :-

Radius = 12 m

To Find :-

Area

Formula Required :-

Area (circle) = πr²

Solving :-

Area = 3.14 x 12 x 12

= 3.14 x 144

= 452.16 m²

Solution :-

452.16 m²

Answer:

144

Step-by-step explanation:

A=πr^2

Where:

A

is the Area of the Circle: what we are solving for in this problem.

r

is the Radius of the Circle: 12 meters for this problem

Substituting and calculating

A

gives:

A=π(12)^2m^2

A=π144m^2

A= 144m^2

This circle would have an area of 144 square meters.

The transformation (x,y) →(0.75x,0.75y)  represents a dilation centered at the origin. which is the correct answer would be an option (D).

A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.

On the coordinate plane, you may dilate figures. The origin is frequently utilized as the center of dilatation. If you are distorting a figure centered at the origin, you may find the points in the image by multiplying the coordinates of the points in the preimage by the scale factor.

As per the given option, we can see the scale factor i.e. 0.75 is multiplying the coordinates of the points (x, y) in option (D).

Thus, the transformation (x,y) →(0.75x,0.75y)  represents a dilation centered at the origin.

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Answer:

easiest in hte world

Step-by-step explanation:

Answer:

  caveat: your grader may expect <E, N> coordinates, reversed from these

  A. <N, E> = <-200, 346.410> (plane) and <25.712, 30.642> (wind)

  B. resultant <N, E> = <-174.288, 377.052>

  C. resultant = 415.385∠115°

Step-by-step explanation:

The necessary calculations for vector arithmetic are handily carried out by a suitable calculator. The attached shows a TI-84 work-alike, but there are many other possible choices.

The necessary calculations for doing this "by hand" (without a calculator that does vectors or complex numbers) are ...

  a∠b = a·cis(b) = (a·cos(b) +i·a·sin(b))

  a +i·b = √(a²+b²)∠arctan(b/a) . . . . . with attention to signs and quadrant

__

Ordinarily, bearings are measured clockwise from North, and angles in the x-y or complex plane are measured counterclockwise from +x (East). If you use bearing angles without any translation, the resulting (complex plane) coordinates from rectangular/polar conversion are ...

  (North + i·East)

Coordinates in this system can be added and subtracted in the usual way. When the result is converted back to a distance and direction, that direction can be considered to be a bearing angle. In short, we can use bearing angles in our math with no special treatment, provided we are consistent in that usage.

__

The airplane speed vector in <north, east> coordinates is ...

  400∠120° = 400cos(120°) +i·400·sin(120°) = <-200, 346.410>

Similarly, the wind speed vector is ...

  40∠50° = 40cos(50°) +i·40sin(50°) = <25.712, 30.642>

__

The sum of the vectors is found from the sum of their components:

  plane + wind = <-200 +25.712, 346.410 +30.642> = <-174.288, 377.052>

__

Converting this vector in linear form back to a magnitude and direction gives ...

  magnitude = √((-174.288)² +377.052²) = √172544.644542

  magnitude ≈ 415.385 . . . mph

  direction = arctan(-377.052/174.288) . . . . . 90° < θ < 180°

  direction ≈ 115°

_____

Additional comment

As we discussed above, the vector coordinates used here are <N, E> coordinates. If you translate the bearing angles to Cartesian plane angles (measured CCW from +x), the corresponding coordinates will be <E, N> coordinates. That is, rectangular coordinates will be reversed from those shown here. If you're filling in an answer box, you may want to be aware of that fact.

Answer:

The difference is 1

Step-by-step explanation:

Because the ratio is 5:4, there are 5/4 times as many adult cats as kittens, or 4/5 times as many kittens than adult cats.

So you do:

24 × 5/4

= 24/1 × 5/4

= 120/4

= 30

31 - 30 = 1

Answer:

15.23

Step-by-step explanation:

Answer:

Step-by-step explanation:

55%

Step-by-step explanation:

so, if I understand correctly :

angle A = 22°

angle B = 53°

angle D = 38°

remember : the sum of all 3 angles in every triangle is always 180°.

so,

180 = 22 + 53 + AEB

angle AEB = 180 - 22 - 53 = 105°

per the attributes of crossing lines the angles between them are the same on both sides of any of the lines (just left-right mirrored).

so, CB and AD are crossing lines, therefore

angle AEB = angle CED = 105°

and then

180 = 105 + 38 + C

angle C = 180 - 105 - 38 = 37°

Answer:

C = 7.72 ~ 7.7

Step-by-step explanation:

So when you solve this equetion you must 1st find x then c

we can find x by using cos(60)

cos(60) = x/14

x = cos(60) × 14

x = 1/2 ×14

x = 7

so after we find x we are going to solve c by using cos (25)

cos (25) = X/C = 7/c

cos(25) × C = 7

C = 7/cos (25)

C = 7.72 ~ 7.7

so the solution is 7.7

The volume will be 9 times increased if she triples the dimension of the square. So, yes, he is right because 3 is 2 times in the formula.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Given

Clare sketches a rectangular prism with a height of 11 and a square base and labels the edges of the base 8.

The side of the square is 8.

The height of the prism is 11.

Volume = Area of square × height.

The volume of the original prism will be.

\(\rm V_1 = 8 * 8 * 11\\\\V_1 = 704\)

If she triples the side of the square.

Then dimensions will be

The side of the square is 24.

The height of the prism is 11.

The volume of the modified prism will be.

\(\rm V_2 = 24 * 24* 11\\\\V_2 = 9*704\\\\V_2 = 9 \ Times \ of \ V_1\)

Thus, the volume will be 9 times bigger. So, yes, he is right because 3 is 2 times in the formula.

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Answer:

The y intercept is (0,4)

Step-by-step explanation:

Recommend using a graphing calculator for this equation

Answer:

160 square inches

Step-by-step explanation:

step1 : find the area of the square base;

A = 8×8

=64 square inches

step2 : find the are of the triangle:

A=1/2×base×height

=1/2×8×6

=24 square inches

step3 : there are 4 triangles, so you need to find the total area of the 4 triangles:

A=24×4

=96 square inches

step4 : add the area of the square base and total area of the triangles:

A = 64+96

=160 square inches (Ans)

Answer:

74°

Step-by-step explanation:

A rhombus is a quadrilateral that has its opposite sides to be parallel to be each other. This means that the two interior opposite angles are equal to each other. Since the sum of the angles of a quadrilateral is 360°.

According to the triangle, since one of the acute angle is 32°, then the acute angle opposite to this angle will also be 32°.

The remaining angle of the rhombus will be calculated as thus;

= 360° - (32°+32°)

= 360° - 64°

= 296°

This means the other two opposite angles will have a sum total of 296°. Individual obtuse angle will be 296°/2 i.e 148°

This means that each obtuse angles of the rhombus will be 148°.

To get the unknown angle m°, we can see that the diagonal cuts the two obtuse angles equally, hence one of the obtuse angles will also be divided equally to get the unknown angle m°.

m° = 148°/2

m° = 74°

Hence the angle measure if m(1) is 74°

The classification technique that is nonparametric and does not rely on any underlying statistical model is regression trees via recursive partitioning. This method is based on splitting the data into smaller subsets and constructing decision trees to predict the target variable.

Unlike parametric methods like multinomial logistic regression and linear/quadratic discriminant analysis, regression trees do not make assumptions about the distribution of the data. Backward elimination is a technique used to select the most important variables for a statistical model by removing variables one at a time based on their p-value.

While it can be used with both parametric and nonparametric methods, it is not a classification technique in itself. In summary, if you want a nonparametric classification technique that does not rely on underlying statistical assumptions, regression trees via recursive partitioning are a good choice.

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The probability that the student sees the TA, i.e., P(B), is 1/4 or 0.25, assuming that both the TA and the student arrive uniformly at random between 1-2pm as described in the problem.

Let's denote the event "the TA arrives" as event A, and the event "the student sees the TA" as event B. We need to find the probability of event B, i.e., P(B).

Given that the TA arrives uniformly at random between 1-2pm, the probability of the TA not being there at any given moment during that time interval is the same as the length of time the TA has not yet arrived divided by the length of the entire time interval. Since the TA arrives uniformly at random, the length of time the TA has not yet arrived follows a uniform distribution as well.

The length of time the TA has not yet arrived can be modeled as a continuous uniform distribution on the interval [0, 1], where 0 represents the TA arriving exactly at 1pm and 1 represents the TA arriving exactly at 2pm.

Now, if the student arrives and the TA is not there, the student waits for 15 minutes. This means that for the student to see the TA, the TA must arrive within the first 15 minutes of the student's arrival.

The probability of the TA arriving within the first 15 minutes of the student's arrival can be calculated as the ratio of the length of time interval during which the TA arrives and the student waits (i.e., [0, 15]) to the length of the time interval during which the TA arrives (i.e., [0, 1]). So, the probability of the TA arriving within the first 15 minutes of the student's arrival is 15/60 = 1/4.

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Answer:

88 sq.in

Step-by-step explanation:

Area of trapezoid = 1/2 (b1 +b2) x h

In this figure:

b1 = 18 in, b2 = 4 in, h = 8 in

So:

A = 1/2 (18 + 4) x 8

A = 1/2 (22) x 8

A = 11 x 8

A = 88 sq.in

Answer:

It's the one you clicked!

Step-by-step explanation:

It is 22.5 or 22 \(\frac{1}{2}\)

because

5/2 simplified is 2.5

2.5 x 9 = 22.5

hope this helps :)

=========================================================

Explanation:

This figure has n = 9 sides, so the interior angles sum to...

S = 180(n-2)

S = 180*(9-2)

S = 1260

This means we add up the angles listed and set the sum equal to 1260. This will let us solve for x.

x+122+128+195+145+122+144+129+131 = 1260

x+1116 = 1260

x = 1260-1116

x = 144

Answer:

ok, here is your answer

Step-by-step explanation:

AI-generated answer

First, we need to find the equation of line AB using the coordinates of points A and B:

slope of AB (m) = (y2 - y1)/(x2 - x1) = (14 - (-3))/(7 - (-10)) = 17/17 = 1

Using the point-slope form of a line: y - y1 = m(x - x1), with point A(-10, -3) and slope m=1, we get:

y - (-3) = 1(x - (-10))

y + 3 = x + 10

y = x + 7 (equation of line AB)

Since CD is perpendicular to AB, the slope of CD will be the negative reciprocal of the slope of AB, which is -1.

Using the point-slope form of a line, with point C(5,12) and slope m=-1, we get:

y - 12 = -1(x - 5)

y - 12 = -x + 5

y = -x + 17 (equation of line CD)

To find the x-intercept of CD, we set y=0 and solve for x:

0 = -x + 17

x = 17

Therefore, the x-intercept of CD is 17.

Answer:

There are $\boxed{3}$ paths from $A$ to $B.$

The perimeter of the rhombus is 4√117 feet.

What is rhombus?

A rhombus is a special type of quadrilateral (a polygon with four sides) where all four sides are equal in length. It is also known as a diamond shape because of its symmetrical appearance.

In a rhombus, the diagonals are perpendicular bisectors of each other. This means that they divide the rhombus into four congruent right triangles.

Let's denote the length of one diagonal as d1 and the length of the other diagonal as d2. In this case, d1 = 18 feet and d2 = 12 feet.

Each right triangle formed by the diagonals has legs equal to half the lengths of the diagonals. Therefore, the lengths of the legs are d1/2 = 18/2 = 9 feet and d2/2 = 12/2 = 6 feet.

Using the Pythagorean theorem, we can find the length of the hypotenuse of each right triangle, which is also a side of the rhombus.

\(h^2 = (leg1)^2 + (leg2)^2\\\\h^2 = 9^2 + 6^2\\\\h^2 = 81 + 36\\\\h^2 = 117\)

Taking the square root of both sides:

h = √117

Since the rhombus has four congruent sides, the perimeter is given by:

Perimeter = 4 * h = 4 * √117

Thus, the perimeter of the rhombus is 4√117 feet.

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Answer: T = 0.25x + 50, where x represents the number of chirps in 1 minute.

Step-by-step explanation:

Answer:

the rate of change is -5.

Step-by-step explanation:

y = -5x - 3

-5 = rate of change

-3 = x intercept

So the answer of this question is,Sam made error on his Conversion

Sam made an error in his conversion. The conversion factor that he used is incorrect. To convert teaspoons (tsp) to tablespoons (tbsp), we need to divide the number of teaspoons by 3, not multiply by 3.

Therefore, the correct calculation should be:

15 tsp / 3 tsp/tbsp = 5 tbsp

So, the new recipe calls for 15 tsp of orange oil, which is equal to 5 tbsp.

It is important to be careful when converting between units, especially when working with recipes or making calculations that impact safety or health. In this case, the error could lead to a significant difference in the amount of orange oil used in the cleaning solution, potentially altering its effectiveness or making it unsafe to use.

Now we have to know about Conversion error.

A conversion error occurs when an incorrect conversion factor or formula is used to convert one unit of measurement to another. This can result in incorrect results and can be particularly problematic when working with sensitive or critical measurements, such as in cooking, medicine, or engineering.

To avoid conversion errors, it is important to be familiar with the correct conversion factors or formulas and to use them consistently. Additionally, it can be helpful to double-check your calculations and to use multiple methods or sources to verify your results.

In general, it is important to be mindful and meticulous when making conversions, especially in situations where accuracy is critical. A simple mistake can lead to significant consequences, so it is important to take the time to get the conversion right.

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Answer:

Sam used the wrong conversion factor.

Step-by-step explanation:

when he multiplies the 15 tsp he should multiply it by 3 tsp. 3 tsp should be the denominator, not the numerator. It's supposed to be in the denominator because you have to cancel the unit out. Hope that helps, have a nice day!!

The completely factored form of the quadratic expression 4x^2 + 12x - 72 is (x + 6) * 4(x - 3).

To completely factor the quadratic expression 4x^2 + 12x - 72, we can follow these steps:

Step 1: Find the product of the coefficient of the quadratic term (4) and the constant term (-72). In this case, the product is -288.

Step 2: Look for two numbers whose product is the same as the result obtained in Step 1 (-288) and whose sum is equal to the coefficient of the linear term (12). In this case, the numbers are 24 and -12.

Step 3: Rewrite the middle term (12x) using the two numbers found in Step 2:

4x^2 + 24x - 12x - 72

Step 4: Group the terms:

(4x^2 + 24x) - (12x + 72)

Step 5: Factor out the greatest common factor from each group:

4x(x + 6) - 12(x + 6)

Step 6: Notice that we have a common factor of (x + 6) in both terms. Factor it out:

(x + 6)(4x - 12)

Step 7: Simplify further by factoring out 4 from the second term:

(x + 6) * 4(x - 3)

The completely factored form of the quadratic expression 4x^2 + 12x - 72 is (x + 6) * 4(x - 3).

Answer:

45

Step-by-step explanation:

The simple interest formula is

I=p×r×t

I interest earned?

P principle 300

R interest rate 0.05

T time 3years

So

I=300×0.05×3

I=45

interest will he have earned in 3 years is 45