A system of equations is graphed on the coordinate plane.
A student concludes that the solution of the system is (-0.5, 1.5).
Is this correct? Justify your response.

The probability of getting at least one head is 15/16.

What is probability?

The ratio of positive outcomes to all possible outcomes of an event is known as the probability.

Formula for probability = favourable outcomes/ total outcomes

Main body:

if 4 coins are tossed , total no. of outcomes = 2⁴ = 16

In a toss there are 2 outcomes T or H

so, Probability of getting Head = 1/2

The probability of getting at least 1 head = 1- probability of getting no heads

⇒1 - Probability of getting tail in 4 tosses

⇒ 1 - (1/2)⁴

⇒ 1 - 1/16

⇒ 15/16

So the probability of getting at least one head is 15/16.

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When the actual selling price is $20, the store manager is showing a $18 item with a $2 price tag.

One can calculate the percentage by dividing the value by the total value and multiplying the result by 100. (Value/Total Value)100% is the formula for calculating percentages.

To convert a decimal number, such as 0.57, to a percentage, just multiply it by 100. Therefore, 0.57 times 100 equals 57. Therefore, 0.57 is a percentage that equals 57%. Another example is 0.03 x 100 = 3%. Percentages are just fractions with a denominator of 100. To show that a number is a percentage, we place the percent sign (%) next to it.

For instance, if you properly answered 75 out of 100 questions on a test, you would have received a 75% grade (75/100).

Here,

Item cost is $18.

Price to Sell = 18 + 11% ×18

= $19.98

= $20

The store manager is displaying an item that cost $18 for a selling price of $2 when the true selling price is $20.

So,

When the actual selling price is $20, the store manager is showing a $18 item with a $2 price tag.

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The probability that a randomly selected man is shorter than 65 inches can be determined using the concepts of normal distribution and z-scores.

Step 1: Determine the average height and standard deviation :

Assuming the average height (μ) for men is 69 inches and the standard deviation (σ) is 3 inches. These values are commonly used in such problems and can vary based on the specific population being considered.

Step 2: Calculate the z-score :

We want to find the probability of a man being shorter than 65 inches. The formula for the z-score is: Z = (X - μ) / σ Here, X is the target height (65 inches), μ is the average height (69 inches), and σ is the standard deviation (3 inches).

Substituting values to calculate the z-score: Z = (65 - 69) / 3 Z = -4 / 3 Z ≈ -1.33

Step 3: Determine the probability :

Using a z-score table or a calculator with a normal distribution function, we can find the probability that corresponds to the calculated z-score of -1.33. The table will show a value of 0.092 (approximately) for the z-score of -1.33.

Thus, the probability that a randomly selected man is shorter than 65 inches is approximately 9.2%.

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The expressions that simplifies to 41 are:

a) 10 + 2³ * 4 - 1

d) 10 + (2³ * 4) - 1

Information about the problem:

a) 10 + 2³ * 4 - 1

b) 10 + 2³ * (4 - 1)

c) (10 + 2³) * 4 - 1

d) 10 + (2³ * 4) - 1

We solve the equations respecting the level of hierarchy:

a) 10 + 2³ * 4 - 1

10 + 8*4 - 1

10 + 32 - 1

42 - 1

41 (it applies)

b) 10 + 2³ * (4 - 1)

10 + 8 * (3)

10 + 24

34 (it doesn't applies)

c) (10 + 2³) * 4 - 1

(10 + 8) * 4 - 1

18*4 - 1

72 - 1

71 (it doesn't applies)

d) 10 + (2³ * 4) - 1

10 + (8*4) - 1

10 + 32 -1

42 - 1

41 (it applies)

We can say that they are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

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The Lewis dot structure for BF2 is:

 F     B     F

  \   /    

   B    

  /   \

 F     B     F

In this molecule, there are three atoms (one boron and two fluorine) and a total of 12 valence electrons. Boron is in group 3, so it has 3 valence electrons, while each fluorine atom has 7 valence electrons.

To form the Lewis dot structure, we first place the atoms in a linear arrangement. Each fluorine atom shares one electron with the boron atom, giving a total of two shared electrons (or one bond) between the boron and each fluorine atom. This gives us a total of four electrons (or two bonds) between the boron and the two fluorine atoms.

The remaining four electrons are placed as nonbonding electron pairs around each fluorine atom to satisfy the octet rule. Therefore, there are a total of two bonding domains and two nonbonding electron domains around the boron atom. The electron domain geometry is tetrahedral, and the molecular geometry is linear.

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Therefore, H'(a) = 0.

Given H(x) = 3f(x¹).

We have to find H'(a)

where a³ = 4,

f(a) = 5,

f(a¹) = 6,

f(4a³) = 7,

f'(a) = 8,

f'(a¹) = 9,

f'(4a³) = 10.

H(x) = 3f(x¹)  ----(1)

Differentiating both sides of eq(1) w.r.t x we get,=>

H'(x) = 3f'(x¹) * 1  ----(2)

Differentiating both sides of a³ = 4 w.r.t x we get,=>

3a² * a' = 0=> a' = 0

Differentiating both sides of f(a) = 5 w.r.t x we get,=>

f'(a) * a' = 0=> f'(a) = 0 or a' = 0

Differentiating both sides of f(a¹) = 6 w.r.t x we get,=>

6 = f'(a¹) * 1 * a'           ---------(i)

Differentiating both sides of f(4a³) = 7 w.r.t x we get,=>

4 * 3a² * a' = f'(4a³) * 4=> f'(4a³) = 12a'           ---------(ii)

Putting values of a³,

f(a), f(a¹), f(4a³), f'(a), f'(a¹) and f'(4a³) in eq (1) we get,

H(x) = 3f(x¹) => H(a) = 3f(a¹)       

   [when x = a, x¹ = a¹]=> H'(a) = 3f'(a¹) * 1       

   [put x = a in eq(2)]=> H'(a) = 3 * 6 * 0        

  [put value of f'(a¹) from eq (i)]=> H'(a) = 0 [as we can see above]

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Answer:

D

Step-by-step explanation:

Proportional relationships go through the origin on the graph so we can eliminate A and B. Also the x and y coordinates have the same ratio so the answer is D because 2:3 = 4:6 = 8:12 = 12:18.

Answer:

=47/36

(Decimal: 1.305556)

Step-by-step explanation:

Answer:

3 1/4

Step-by-step explanation:

3/4 + ( 1/3 / 1/6 ) - (- 1/2)

First, divide within the parenthesis

3/4 + 2 - (- 1/2)

Next, change the double subtraction to an addition

3/4 + 2 + 1/2

Convert to forths

3/4 + 2 + 2/4

Add 3/4 and 2

2 3/4 + 2/4

Add 2 3/4 and 2/4

3 1/4

I hope that this helps :)

The correct option is d. The day on which Elizabeth first gets charged an overdraft fee is Saturday. Her account balance first becomes negative on this day.

From the given data, we can calculate the balance on each day as shown:

Balance on Monday = $252 - $114.60 + $150.00 = $287.40

Balance on Tuesday = $287.40 - $79.68 = $207.72

Balance on Wednesday = $207.72 - $161.39 = $46.33

Balance on Thursday = $46.33 - $57.40 = -$11.07

Balance on Friday = -$11.07 - $22.85 + $75.00 = $41.08

Balance on Saturday = $41.08 - $140.55 = -$99.47

We see that Elizabeth's balance first becomes negative on Saturday, so she will be charged an overdraft fee on that day.Answer: d. Saturday

The day on which Elizabeth first gets charged an overdraft fee is Saturday. Her account balance first becomes negative on this day.

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Answer:

4x+4y=$40 4 pins and 4 rings

Step-by-step explanation:

Making a table is the easiest for this equation.

6/4=10

12/8=20

18/12=30

24/16=40

The equation will be 2x+3y = 20

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, Luke sells pins for $4 each and rings for $6 each, and he must sell to make $40

Since,  the number of pins are x and the number of rings are y

Establishing the equations,

4x+6y = 40

2(2x+3y) = 40

2x+3y = 40/2

2x+3y = 20

Hence, The equation will be 2x+3y = 20

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Let C be the curve of intersections of the cylinder \(y²+z²=9\)and the plane x=4.

We need to find a parametrization of C and compute the scalar line integral ∫C​x d.  

a) Finding a parametrization of C To find the parametrization of the curve of intersections of the cylinder y²+z²=9 and the plane x=4, we have to substitute x=4 into the cylinder equation:\(4²+y²+z²=9y²+z²=9-16y²+z²=−7\)

Let's take y as the parameter for the curve C, and z as a function of\(y:z(y)=√(−7−y²)\)

Therefore, the parametrization of C is given by: C(t) = (4, t, √(−7 − t²))b) Computing the scalar line integral ∫C​x d

Since we want to compute the scalar line integral of x along the curve C, we need to use the parametrization of C. Here's the integral\(:∫C​x d = ∫(from t=−3 to t=3) xt'(t) dt= ∫(from t=−3 to t=3) 4 dt= 4[t] from t=−3 to t=3= 4(3 − (−3))= 24\)

Therefore, the scalar line integral ∫C​x d is 24.

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Answer:

A

Step-by-step explanation:

Answer:

A is correct

Step-by-step explanation:

I took the test and got it right and (x, y) → (x – 6, y – 1) if you do the equation it fits the image

Answer:

7

Step-by-step explanation:

(4+6+7+8+10)/5=7

the median is the middle number=7

Answer:parallelogram

Step-by-step explanation: If one pair of opposite sides of a quadrilateral are equal and parallel, then the quadrilateral is a parallelogram

The number are 1/4 π and \(\sqrt[3]{9}\) are irrational number.

It is required to choose the numbers are irrational.

Real numbers are numbers that include both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5) and irrational numbers such as √3, π(22/7), etc., are all real numbers.

Given that:

The given option are

-2.3456 =-23456/10000

since, -2.3456 can be represented as rational numbers.

π is an infinite decimal, so it cannot be expressed as a rational number.  

So, 1/4 π is irrational number.

\(\sqrt[3]{9}\) is an irrational number.

2 + √16=2+4= 6 is a rational number.

Therefore, the number are 1/4 π and \(\sqrt[3]{9}\) are irrational number.

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Answer:

I think it’s A B B A and the last one is D is believe

Step-by-step explanation:

Answer:

2. A

3. A

4. D

5. A

6.

a) 180-n =  m

b) 180-40 = 140

7.  a) 161-(38+80)=a

b)38+80=118

b)161-118 = 43, a = 43

8. a) NMQ, and NQR

    b) NMR and NPR

Step-by-step explanation:

Remember, two vertical angles are always congruent or the same. Complimentary angles equal 90 degrees and supplementary angles equal 180 degrees.

Answer:I will give you an answer ,but I can't unless I can see the graph

Step-by-step explanation:

Answer:

55 degrees

Step-by-step explanation:

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m<ABC = 360-250= 110 degrees

"As we know that the measure of angle ABC is equal to half of mADC."

110/2 = 55 degrees.

This should be the answer.

Answer: 3 meters

Step-by-step explanation:

Answer: 3 meters

Step-by-step explanation: A diving board being 3 cm would be too small so 3 meters is a better choice!

Therefore, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.

Histograms are an effective way to display data graphically. They are used to show how often certain values or ranges of values appear in a data set. Visual interpretation of histograms has many strengths and limitations. Some of the strengths of visually interpreting histograms are that they are easy to read and understand, they provide a clear picture of how the data is distributed, and they can help identify outliers or gaps in the data. However, some of the limitations of visually interpreting histograms are that they can be influenced by the number of bins chosen, the way the data is grouped, and the choice of the scale used. Therefore, it is important to carefully consider these factors when interpreting a histogram. In conclusion, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.

Therefore, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.

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Answer:

Tree height is 15.6 ft

Step-by-step explanation:

Picture a triangle with horizontal side 25 ft and angle 32 degrees on the left.  Then the following is true:

                                      x

tan 32 = 0.625 = ---------------------       or   x = (0.625)(25 ft) = 15.6 ft

                                    25 ft        

(2n + 1)² - (2n + 1) is an even number for all positive integral values of n.

How to simplify an expression?
Expressions are simplified when they are rewritten in a concise manner and without any similar phrases. When we combine like terms in an expression and, if necessary, solve all of the specified brackets, we are only left with unlike terms in the simplified expression that cannot be further reduced.
What is an even number?
An even number is any number that can be divided by 2 precisely. The last digit of an even number is always one of the following: 0, 2, 4, 6, or 8. Even numbers can include 2, 4, 6, 8, 10, 12, and 14. These are even numbers because they are simple to divide by two. It is important to remember that 2 is the smallest positive even natural number.

Given, the equation under consideration is y = (2n + 1)² - (2n + 1)
Upon simplifying and solving for y, we have:
y = (2n + 1)² - (2n + 1) = 4n² + 4n + 1 - 2n - 1 ⇒ y = 4n² + (4n - 2n) + (1 - 1)
⇒ y = 4n² + 2n + 0 ⇒ y = 2 (2n² + n) --(i)
On carefully analyzing (i), we can affirm that y is divisible by 2, thus confirming that (2n + 1)² - (2n + 1) is an even number for all positive integral values of n.
Therefore, (2n + 1)² - (2n + 1) is an even number for all positive integral values of n.

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Answer:

  Change on Day 1 = 29.80 °C

  Change on Day 2= 30.60 °C

  the most change occurred on Day 2

Step-by-step explanation:

Given a table of days and temperatures, you are asked for the changes each day, and you are asked which day changed the most.

In general, the change in an amount is the difference between the final amount and the beginning amount. Here we have temperatures at the beginning of the day and the end of the day. We presume the change of interest is the difference between the temperature at the end of the day and that at the beginning.

  end of day temp - beginning temp = 18.74 -(-11.06) = 29.80 . . . °C

  end of day temp - beginning temp = 21.29 -(-9.31) = 30.60 . . . °C

The day 2 change is larger than the day 1 change, so the most change occurred on day 2.

Despite that JSR stock price was $52.33 in October, when the stock increase and decrease are accounted for, then, the price of the stock in December equals to $51.91.

Also known as share price, it refers to the price of a single share of a number of sale-able equity shares of a company.

Given data

Stock price for JSR was $52.33 in October.

November, the stock had increased by 9%

December, the price fell by 9%.

In November, the firm's stock price will be:

= Stock price in October * (1 + 0.09)

= $52.33 * (1.09)

= $57.0397

In December, the firm's stock price will be:

= $57.0397 * (1 - 0.09)

= $57.0397 * 0.91

= $51.906

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The appropriate regression model depends on the stationarity properties of both the dependent and independent variables, as well as the error term. The researcher can use a standard OLS regression model with first-order differencing of both Y and X.

In the first scenario, both Y and X are I(0), which means they are stationary time series. In this case, the researcher can perform a standard linear regression analysis, as the stationary series would lead to a stable long-run relationship. The answer from this model will be reliable and less likely to suffer from spurious regressions. In the second scenario, Y is I(2) and X is I(0). This implies that Y is integrated of order 2 and X is stationary. In this case, the researcher should first difference Y twice to make it stationary before performing a regression analysis. However, this approach might not be ideal as the integration orders differ, which can lead to biased results.

In the third scenario, Y and X are both I(1) and the error term is I(0). This indicates that both Y and X are non-stationary time series, but their combination might be stationary. The researcher should employ a co-integration analysis, such as the Engle-Granger method or Johansen test, to identify if there is a stable long-run relationship between Y and X. If co-integration is found, then an error correction model can be used for more accurate predictions.

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Answer:

161391

Step-by-step explanation:

138000 x 16.95/100 = 23391

138000 + 23391 = 161391

Answer:

Area of a Square is the square of its side. In your question, the length of the side of the square is 5x and the calculates to (5x^2)square units.

Area of Square = (side^2)

Step-by-step explanation: