8 ÷ 28 *has to be in decimal form*

The angle through which the plane turns is B; 90 degrees clockwise

When determining the angle of turn, it is important to consider the direction of rotation (in this case, clockwise) and the starting and ending points (in this case, South East to North).

We are given that  plane is heading in a direction of 045° and changes course in a clockwise direction to 135°.

To Subtract the angles to get the answer

135 - 45 = 90

In terms of compass, 45 degrees is directly pointed at northeast while 135 degrees is pointed directly at southeast. We have zero degrees pointed straight north.

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The probability that a randomly chosen senior does not plan to attend college right away and majors in math is 12.5%.

Step 1: Calculate the probability of not attending college immediately after high school:

100% - 77%

= 23%

Step 2: Calculate the probability of majoring in math among those who do not attend college right away: 11%

Step 3: Calculate the probability of not attending college right away and majoring in math:

11% / 23%

= 0.125

The probability of a randomly chosen senior not attending college immediately following high school and majoring in math can be calculated by first determining the probability of not attending college right away. This can be done by subtracting the percentage of seniors who plan to attend college immediately from 100%. This yields 23%. Then, the probability of majoring in math among those who do not attend college right away can be determined by taking the percentage of those who plan to major in math among this group, which is 11%. Lastly, the overall probability of not attending college right away and majoring in math can be calculated by taking the probability of majoring in math among those who do not attend college right away and dividing it by the probability of not attending college right away. This yields 11% / 23%, or 0.125.

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In the video game Rebecca is playing using only addition the expression that represents Rebecca's score after these three turns is  

= 4 + (-6) + (8) + (-1)

Rebecca's energy level after Turn 1 = -2

Rebecca's energy level after Turn 2 = 6

Rebecca's energy level after Turn 3 = 7

Following the rule of the video game the expression is written in steps below

Rebecca is currently at energy level 4

= 4

Turn 1: 6 trees cut

= 4 + (-6)

= 4 - 6

= -2

Turn 2: 8 trees planted

= 4 + (-6) + (8)

= -2 + 8

= 6

Turn 3: 1 tree cut

= 4 + (-6) + (8) + (-1)

= 6 - 1

= 7

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The solution to the system of equations is x = 3/2 and y = 11/2.

What is the linear equation?

The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line. An example of a linear equation is y=mx + b

We are given two equations:

y = 3x + 4

y = 7x – 2

We can set the two equations equal to each other and solve for x:

3x + 4 = 7x - 2

Subtracting 3x from both sides:

4 = 4x - 2

Adding 2 to both sides:

6 = 4x

Dividing both sides by 4:

x = 3/2

Now we can substitute this value of x back into either of the original equations to find the corresponding value of y. Using the first equation:

y = 3(3/2) + 4 = 9/2 + 4 = 11/2

Therefore, the solution to the system of equations is x = 3/2 and y = 11/2.

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The inequality that describes the problem is: x*4 >= $14.

This inequality can be read as: "the cost of 4 cups of hot chocolate (x) multiplied by 4 is greater than or equal to $14."

We know that Beth expects to spend at least $14 on the hot chocolate in total, and she's buying 4 cups, so we can set up the inequality with the number of cups and the minimum amount she wants to spend.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

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Answer: do it youself

Step-by-step explanation:

Answer:

----------------------------

Translate each wording to mathematical expression and compare with the given 18 = 3 × 6.

A) 18 is 3 times as many as 6:

B) 18 is 2 times as many as 9:

C) 3 is 6 times as many as 18:

D) 6 is 3 times as many as 18:

At $63 price point should they sell the pads to have a demand of 14 thousand pads.

p(x) = -5x + 133

Substitute x with 14,

p(14) = -5(14) + 133

       = -70 + 133

       = 63.

The chance of an event happening given that another event has already occurred (via assumption, supposition, statement, or evidence) is known as conditional probability in the field of probability theory. [1] This particular approach depends on event B happening in some way connected to another event A. In this case, a conditional probability analysis with respect to event B is possible.

The probability of A under the condition B is typically expressed as P(A|B)[2] or PB if the event of interest is A and the event B is known to have occurred or is assumed to have done so (A). This can alternatively be thought of as the percentage of possibility that B and A will collide.

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Answer: 6.9%

Step-by-step explanation:

Substituting into the percent error formula,

[tex]\frac{|10.9-10.2|}{10.2} \times 100 \approx 6.9\%[/tex]

Answer: The answer is. 2x² - 3x + 6. Step-by-step explanation: f(x) = 2x² + 1. g(x) = 3x - 5. To find f - g(x) subtract g(x) from f(x).

I hope this helps! Have a Wonderful day! <3

Answer: [tex]4\sqrt{2}+1[/tex]

Step-by-step explanation:

[tex]x=0 \implies y=a+b \implies a+b=9\\\\x=30 \implies \frac{\sqrt{3}}{2}a+b=1+4\sqrt{3}\\\\\implies \frac{\sqrt{3}}{2}a-a=4\sqrt{3}-8\\\\a=\frac{4\sqrt{3}-8}{\frac{\sqrt{3}}{2}-1}=\frac{8\sqrt{3}-16}{\sqrt{3}-2}=8\\\\\implies b=9-8=1\\\\\therefore y=8\cos x^{\circ}+1\\\\x=45 \implies y=8\left(\frac{\sqrt{2}}{2} \right)+1=4\sqrt{2}+1[/tex]

Answer:

8/3

Step-by-step explanation:

The function that fits the points (-1, 21) (3, 45) (4, 81) is 6x²-6x+9.

Quadratic Regression is a method according to which we can make an equation of a quadratic curve from given no. of x and y data points

Quadratic Regression Equation(y) = a + b x + c x^2

The formula for its coefficients is,

c = { [ Σ x2 y * Σ xx ] - [Σ xy * Σ xx2 ] } / { [ Σ xx * Σ x2x 2] - [Σ xx2 ]2 }

b = { [ Σ xy * Σ x2x2 ] - [Σ x2y * Σ xx2 ] } / { [ Σ xx * Σ x2x 2] - [Σ xx2 ]2 }

a = [ Σ y / n ] - { b * [ Σ x / n ] } - { a * [ Σ x 2 / n ] }

Where,

Σ x x = [ Σ x 2 ] - [ ( Σ x )2 / n ]

Σ x y = [ Σ x y ] - [ ( Σ x * Σ y ) / n ]

Σ x x2 = [ Σ x 3 ] - [ ( Σ x 2 * Σ x ) / n ]

Σ x2 y = [ Σ x 2 y] - [ ( Σ x 2 * Σ y ) / n ]

Σ x2 x2 = [ Σ x 4 ] - [ ( Σ x 2 )2 / n ]

x and y are the Variables.

a, b, and c is the Coefficients of the Quadratic Equation

n = Number of Values or Elements

Σ x= Sum of First Scores

Σ y = Sum of Second Scores

Σ x2 = Sum of the square of the First Scores

Σ x 3 = Sum of Cube of First Scores

Σ x 4 = Sum of Power Four of First Scores

Σ xy= Sum of the Product of First and Second Scores

Σ x2y = Sum of Square of First Scores and Second Scores

when we input the points (-1,21),(3,45),(4,81)

we get the equation 6x²-6x+9

which looks like this (The image has been attached),

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Answer:

1 2 8.33%

3 1 4.17%

4 1 4.17%

5 1 4.17%

6 1 4.17%

7 1 4.17%

8 2 8.33%

9 2 8.33%

10 3 12.5%

11 3 12.5%

12 4 16.67%

13 2 8.33%

14 1 4.17%

total =24

The weights of the tomatoes vary less than the weights of the cucumbers since the MAD for tomatoes is less than the MAD for cucumbers.

Statistics is the study of collection, analysis, interpretation, and presentation of data or to discipline to collect, and summarise the data.

The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean.

It is the average distance between each data point and the mean.

The weights of the tomatoes vary less than the weights of the cucumbers since the MAD for tomatoes is less than the MAD for cucumbers.

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Answer:

less & less

Explanation: Because thats how u do it

The equation of the tangent to the curve x=tan(θ) and y=sec(θ) at the point (1,√2) can be found by both eliminating the parameter and without eliminating the parameter.

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Answer: It is not possible to determine whether rectangle EFGH is the result of a dilation of rectangle ABCD with a center of dilation at the origin just by looking at the statement provided.

A dilation is a transformation that changes the size of a shape but not its shape or orientation. In a dilation, the center of dilation is a fixed point and all other points move away from or towards it by a scale factor.

The statement provided does not include any information about the scale factor, the coordinates or measurements of the rectangle's vertices or any other information that would allow to determine if EFGH is the result of a dilation of ABCD. The statement only indicates that the center of dilation is at the origin.

In order to determine if rectangle EFGH is the result of a dilation of rectangle ABCD with a center of dilation at the origin, we would need additional information such as the scale factor, the coordinates or measurements of the rectangle's vertices, and the direction of dilation (enlargement or reduction)

It's worth noting that a dilation with center of dilation at origin can be performed only if the shape is symmetric.

Step-by-step explanation:

The spinner above is used in a game. the theoretical probability of the given event with one spin is 1/2.

Given that a circular spinner with equal sectors for the numbers 1 through 8 is present.

Therefore, the likelihood of receiving any number from 1 to 8 is equal.

=1/8

Probability that the number is between 2 and 7 is known as the required probability.

The numbers 3,4,5, and 6 fall between 2 and 7.

So, favorable events equal 4,

Events totaling 8 P(a number between 2 and 7)=4/8 =1/2

The result is 1/2.

Theoretically, there is a 0.50 percent chance that the event, which is the number landing in a range between 2 and 7, will occur after one spin.

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The number of ways in which exactly one of the toddler triplets to end up with their coat is given as follows:

3.

A sample space is a set that contains all possible outcomes in the context of an experiment.

The cardinality of the sample space in this problem, considering the Fundamental Counting Theorem, is obtained as follows:

N = 3 x 2 x 1

N = 6.

(the first chosen has 3 possible options, the second has two and the third has one).

The six possible outcomes are given as follows, considering the order Red - Green - Blue:

Hence there are three outcomes for exactly one of the toddler triplets to end up with their coat.

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The value of the home after 17 years $275,693.00.

The correct option is (A).

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

Eden purchased a home for $156,200.

The appreciates percent = 4.5%

So, the appreciates percentage in 17 year

= 4.5 x 17

= 76.5%

Now, the amount increased of home

= 156200 x 76.5%

= $119,493

So, the value of home after 17 year

= 119493 + 156200

= $ 275, 693

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James should set up the refreshment stand on the incentre of the obtuse triangle.

The incentre of a triangle is defined as the intersection between the angle bisectors of a triangle. The inradius is the line segments from the incenter of the triangle to each of the three sides of the triangle which are all equal.

The inradius is defined as the radius of an inscribed circle in the triangle. Therefore, the required shortest equal distance from his stand to each road so that the stand is at the same distance for all three roads is on the incentre.

Hence, the correct option is C.

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Answer:

×⁴-8ײ+1

Explanation:

hope its help...

Answer: 560

Step-by-step explanation:

240 / 3 = 80 x 7 = 560

10, 24, 26 are the Pythagorean triples. Therefore, option (i), (iii) and (iv) are the correct answers.

Pythagorean triples are a²+b² =c² where a, b and c are the three positive integers. These triples are represented as (a,b,c). Here, a is the perpendicular, b is the base and c is the hypotenuse of the right-angled triangle.

i) 10, 24, 26

Here, 26²=10²+24²

676=100+576

676=676

So, the given set of numbers are Pythagorean triples

ii) 2, 3, 5

Here, 5²=2²+3²

25≠13

So, the given set of numbers are not Pythagorean triples

iii) 3a, 4a, 5a; where a is any whole number

Here, (5a)²=(3a)²+(4a)²

25a²=9a²+16a²

25a²=25a²

So, the given set of numbers are Pythagorean triples

iv) 7, 24, 25

Here, 25²=24²+7²

625=576+49

625=625

So, the given set of numbers are Pythagorean triples

v) 12, 13, 15

Here, 15²=12²+13²

225=144+169

225≠313

So, the given set of numbers are not Pythagorean triples

Therefore, option (i), (iii) and (iv) are the correct answers.

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Note that the very first step in verifying a statement about a product is represented by the acronym C.L.A.I.M. The first letter "C" stands for Claim.  

L - Logic: Examining the logic of the claim to see if it is reasonable and if the evidence offered supports the assertion.

A - Attribution: Identifying the source of the assertion and assessing its reliability.

I - Investigation: Research and evidence collecting to support or reject the allegation.

M - Measurement: Evaluating the quality and quantity of evidence obtained and assessing whether or not it supports the claim being made.

Following the CLAIM technique allows one to assess the correctness and validity of a claim and make an educated judgment about the product or service in issue.

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Answer:

Step-by-step explanation:

The area of a rectangle can be found by multiplying its length and breadth. In this case, the length is 11/5 cm and the breadth is 13/5 cm. Therefore, the area of the rectangle is (11/5 cm)*(13/5 cm) = 143/25 sq. cm = 5.72 sq. cm.

Answer:

[tex]\frac{5x-3}{4}[/tex]

Step-by-step explanation:

[tex]x=\frac{4y+3}{5} \\ 5x=4y+3\\ 5x-3=4y\\ \frac{5x-3}{4} =y[/tex]

The expression that you can use to find the number of ways to choose 5 cards from a 52-card deck is  52!/(47! * 5!).

The expression that you can use to find the number of ways to choose 5 cards from a 52-card deck is 52 choose 5, which is equal to 52!/(47! * 5!), where the exclamation point indicates the factorial function. This is known as the binomial coefficient, and it represents the number of ways to choose a certain number of items from a larger set. In this case, the binomial coefficient is used to find the number of ways to choose 5 cards from a deck of 52 cards.

The order of the cards is irrelevant in card games like poker. A five-card draw of 1,2,7,9, K is equivalent to a draw of K,7,9,1,2. What counts is the fundamental overall group.

Order is irrelevant, therefore we utilize a combination (instead of a permutation)

We will substitute n = 52 and r = 5 into the nCr combination formula, which is n C r = (n!)/(r!*(n-r)!)

so we obtain:

n C r = r!*(n-r)!/(n!)

52 C 5 = (52!)/(5!*(52-5)!)

52 C 5 = (52!)/((52-5)!*5!)

The complete question is:-

Which expression can you use to find the number of ways to choose 5 cards from a 52-card deck?

a) (52-5)! / 52!5!

b) 52! / (52-5)!

c) 52! / (52-5)!5!

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