A group of students at a high school took a standardized test. The number of students
who passed or failed the exam is broken down by gender in the following table.
Determine whether gender and passing the test are independent by filling out the
blanks in the sentence below, rounding all probabilities to the nearest thousandth.
Passed Failed
Male 25 10
Female 20 8

Answer: 8.77

Step-by-step explanation:

The money that will be in the account at the end of six years is $8,404.5

The initial deposit = P = $7200

Rate = r = 5.5% per year

Time = 6 years ( Compounded Quarterly)

As per the question, the compound interest calculation can be used to determine how much money will be in the account after six years. Compound interest may be thought of as the addition of the loan's interest to the deposit's principal amount. As a result, it is computed using the Principal plus any prior interest.

Using, the formula for compound interest is:

A = \(P(1 + r/n)^(nt)\)

Substituting the values -

A = \(7200(1 + 0.055/4)^(4 x 6)\)

A = \(7200(1.01375)^24\)

A = 7200 x 1.1657

A ≈ 8,404.5

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The following operations are used to transform the quadratic equation y = x² into parabolas in standard form:

Case 1

Horizontal translation, vertical translation. Horizontal stretch.

Case 2

Horizontal translation, vertical translation. Reflection in the x-axis, vertical stretch.

Case 3

Horizontal translation, vertical translation. Horizontal stretch.

In this question we find three cases of parabolas in standard form, that is, quadratic equations of the form:

y - k = a · (x - h)²

Where:

This parabola is translated both horizontally and vertically by using the following definitions:

Horizontal translation

x → x - a, where a > 0 for rightward translation.

Vertical translation

y → y - b, where b > 0 for upward translation.

Horizontal dilation

f(x) → f(k · x), where k is a non-negative real number.

Vertical dilation

f(x) → k · f(x), where k is a non-negative real number.

Reflection in the x-axis

f(x) → - f(x)

The procedure is summarize below:

Finally, we summarize the procedure for each case:

Case 1

g(x) = x²

g(x) = [(1 / 2) · x²]

g(x) + 4 = [(1 / 2) · (x - 2)]²

Horizontal shift: 2 units right, vertical shift: 4 units down. Horizontal stretch.

Case 2

f(x) = x²

f(x) = - (1 / 2) · x²

f(x) - 2 = - (1 / 2) · (x - 4)²

Horizontal shift: 4 units right, vertical shift: 2 units down. Reflection in the x-axis, vertical stretch.

Case 3

h(x) = x²

h(x) = 2 · x²

h(x) - 5 = [2 · (x + 2)]²

Horizontal shift: 2 units left, vertical shift: 5 units up. Horizontal stretch.

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Step-by-step explanation:

\( = {( - 2 {a}^{2} {b}^{4} )}^{3} \)

\( = {( - 2)}^{3} {a}^{2 \times 3} {b}^{4 \times 3} \)

\( = - 8 {a}^{6} {b}^{12} \)

Option → D

Since AE ≅FD and AC ≅BD are already given, we need to prove that Angle ADF and Angle CAE are also congruent.

Since we know that AE is parallel to FD and AD is also a straight segment that intersects both AE and FD, this will serve as our transversal segment. In this case, we have Angle ADF and Angle CAE as alternate interior angles. By definition, alternate interior angles are congruent. Hence, ∠ADF and ∠CAE are congruent with the reason that they are alternate interior angles.

From this, we can say that ΔAEC≅ ΔDFB is congruent by SAS Triangle Congruence Theorem stating that if two sides and an included angle are congruent to both triangles, then the two triangles are congruent.

Answer:

Step-by-step explanation:

The function  has a domain x ≥ 5.

This is because the function remains real for (x - 5) ≥ 0 as negative within the square root is imaginary.

Hence, (x - 5) ≥ 0

⇒ x ≥ 5

Now, for all x values that are greater than equal to 5 the value of  will be negative.

So,  

⇒  

⇒ y ≤ 3

Therefore, the range of the function is y ≤ 3. (Answer)

Note: Thanks rani

The required Matlab code to find the greatest common divisor of a number using the Euclidean algorithm is shown.

To find the greatest common divisor (GCD) of two numbers using the Euclidean algorithm in MATLAB, you can use the following code:

% Replace '12345678' with your actual student number

studentNumber = '12345678';

% Extract the first 4 digits as the first number

firstNumber = str2double(studentNumber(1:4));

% Extract the last 3 digits as the second number

secondNumber = str2double(studentNumber(end-2:end));

% Find the GCD using the Euclidean algorithm

gcdValue = gcd(firstNumber, secondNumber);

% Display the result

disp(['The GCD of ' num2str(firstNumber) ' and ' num2str(secondNumber) ' is ' num2str(gcdValue) '.']);

Make sure to replace '12345678' with your actual student number. The code extracts the first 4 digits as the first number and the last 3 digits as the second number using string indexing. Then, the gcd function in MATLAB is used to calculate the GCD of the two numbers. Finally, the result is displayed using the disp function.

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The question is incomplete. Here is teh complete question.

Determine whether each expression is a polynomial. If it is a polynomial, find the degree and determine whether it is a monomial, binomail or trinomial.

1. \(7ab+6b^{2}-2a^{3}\)

2. \(2y-5+3y^{2}\)

3. \(3x^{2}\)

4. \(\frac{4m}{3p}\)

5. \(5m^{2}p^{3}+6\)

6. \(5q^{-4}+6q\)

Answer and Step-by-step explanation: The definition of polynomial is "poly" meaning many and Nominal, which means terms. So, Polynomial is an expression of constants, variables, exponents that are combined using mathematical operators: addition, subtraction, multiplication and division.

However, there are exceptions:

The degree of a polynomial is the highest exponent of that variable. For example for polynomial \(3x^5+6x-5x^{2}\) , the degree is 5.

Polynomials have 3 different types:

Now, analysing each expression given by the alternatives above:

1. It is a polynomial of degree 3 and trinomial.

2. It is a polynomial of degree 2 and trinomial.

3. Yes, its a polynomial of degree 2 and monomial.

4. It is not a polynomial because it is divided by a variable.

5. A polynomial of degree 5 and it's a binomial.

6. It is not a polynomial due to the exponent being negative.

Answer:

The question is incomplete. Here is the complete question.

Determine whether each expression is a polynomial. If it is a polynomial, find the degree and determine whether it is a monomial, binomial or trinomial.

1.

2.

3.

4.

5.

6.

Answer and Step-by-step explanation: The definition of a polynomial is "poly" meaning many and Nominal, which means terms. So, Polynomial is an expression of constants, variables, exponents that are combined using mathematical operators: addition, subtraction, multiplication, and division.

However, there are exceptions:

Polynomial don't have negative exponent;

Polynomial cannot be divided by a variable;

Variable cannot be inside a radical;

The degree of a polynomial is the highest exponent of that variable. For example for polynomial, the degree is 5.

Polynomials have 3 different types:

monomial: only has one term;

binomial: has 2 terms;

trinomial: has 3 terms;

Now, analyzing each expression given by the alternatives above:

1. It is a polynomial of degree 3 and trinomial.

2. It is a polynomial of degree 2 and trinomial.

3. Yes, it's a polynomial of degree 2 and monomial.

4. It is not a polynomial because it is divided by a variable.

5. A polynomial of degree 5 and it's a binomial.

6. It is not a polynomial due to the exponent being negative.

Answer:

16

Step-by-step explanation:

Have a nice day :)

Answer:

8 quarts = 16 pints

Step-by-step explanation:

The engagement score was 3.86 three months ago.

Engagement score is a metric that measures the level of interaction and involvement that people have with a particular brand, product, or service. It is often used in marketing and advertising to assess the effectiveness of campaigns and to evaluate the success of social media strategies.

Let's call the engagement score from 3 months ago "x". If the score has been improving at a rate of 11% per month, then after 3 months, the score would be

\(x + (x \times 11) + (x \times 11 \times 11) + (x \times 11 \times 11 \times 11) = x \times 1.11^3\)

Since the score is now 4.6, we can set up an equation:

\(x \times 1.11^3 = 4.6\)

To find x, we can divide both sides by \(1.11^3\):

\(x = \frac {4.6} {1.11^3}\)

after solving, we can say that the value of  x is 3.86.

Therefore, the engagement score was 3.86 three months ago.

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Answer:

-0.71

Step-by-step explanation:

Write in exponent form.

   \(\sqrt[a]{7^b}=7^{\frac{b}{a}}\\\\\\ \sqrt[4]{7^9}=7^{\frac{9}{4}}\)

Use law of exponents to simplify the equation.

         \(\boxed{a^m * a^n = a^{m+n} \ and \ \dfrac{a^m}{a^n}=a^{m-n}}\)

\(\sf 7^{\frac{13}{4}}*\sqrt[a]{7^b} =7^{\frac{2}{7}}*\sqrt[4]{7^9}\\\\ 7^{\frac{13}{4}}*7^{\frac{b}{a}}=7^{\frac{2}{7}}*7^{\frac{9}{4}}}\\\\7^{\frac{b}{a}}}= \dfrac{ 7^{\frac{2}{7}}*7^{\frac{9}{4}} }{7^{\frac{13}{4}}}\)

     \(=7^{\frac{2}{7}+\frac{9}{4}-\frac{13}{4}}\\\\=7^{\frac{-5}{7}}\\\\=7^{-0.71}\)

Answer:

number 3

Step-by-step explanation:

as if you subract the two values that should be the answer.

The value of the quantity after 6 weeks is 7694.5

Percentage Increase is the difference between the final value and the initial value, expressed in the form of a percentage.

How to determine this

When an initial value = 5500

Grows at a rate of 0.95%

i.e 0.95% of 5500 = 52.25, it grows 52.25 per day

What is the value of the quantity after 6 weeks

When 7 days = 1 week

6 weeks = x

x = 6 * 7 days

x = 42 days

If it grows 52.25 per day

let x represent the value of quantity in 42 days

When 52.25 = 1 day

x = 42 days

x = 42 * 52.25

x = 2194.5

Therefore the value of the quantity after 6 weeks

= 2194.5 + 5500

= 7694.5

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Answer:

what?

Step-by-step explanation:

The division problems for which 54 is the quotient are, 2430÷45 and 594÷11

The number we obtain when we divide one number by another is the quotient.

Given are the numbers, we need to find which one of them gives the quotient of 54

When we divide 2430÷45, we will get 54

And, 594÷11 = 54

Hence, The division problems for which 54 is the quotient are, 2430÷45 and 594÷11

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The solution when converting the angle 35.37° to \( D^{\circ} M^{\prime} S^{\prime \prime} \) is 35° 22' 12.

Given that the angle is 35.37°.We have to convert this angle into D° M' S" form that is  \( D^{\circ} M^{\prime} S^{\prime \prime} \) form.

1° = 60' (1 Degree = 60 Minutes)1' = 60'' (1 Minute = 60 Seconds)

Therefore, 35.37° = D° M' S"Form.

We know that 1° = 60' and 1' = 60''.

Using this, we can convert `35.37°` to D° M' S" form. So, 35.37° = `35° 22' 12"`.

Hence, the answer converting the angle 35.37° to D° M' S" is 35° 22' 12".

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Answer: There are a few different ways to approach this problem, but one common method is to use the complement rule, which states that the probability of an event happening is equal to 1 minus the probability of the event not happening. In this case, we want to find the probability of at least one psychologist being chosen, which is the same as 1 minus the probability of no psychologists being chosen.

To find the probability of no psychologists being chosen, we first need to calculate the total number of ways to choose 3 people from a group of 54, which is:

54 choose 3 = 54! / (3! * 51!) = 19,958

Then we need to find the number of ways to choose 3 psychiatrists from a group of 24, which is:

24 choose 3 = 24! / (3! * 21!) = 1,344

Now, we can use these values to calculate the probability of no psychologists being chosen:

P(no psychologists) = (24 choose 3) / (54 choose 3) = 1,344 / 19,958 = 0.067 or 6.7%

Finally, we can use the complement rule to find the probability of at least one psychologist being chosen:

P(at least one psychologist) = 1 - P(no psychologists) = 1 - 0.067 = 0.93 or 93%

So the probability that at least one psychologist is chosen from the conference is 93%

Step-by-step explanation:

even if an independent variable has an effect on the dependent variable, it fail to reject the null hypothesis and make a type II error

Even if a treatment is effective in the real world (it has an effect), it is still possible to obtain a sample mean that is so similar to the population mean that the sample mean doesn't fall in the critical, or rejection, region. If this happens, you are likely to fail to reject the null hypothesis and make a type II error.

Since that sample mean is so similar to the population mean, the treatment effect may not be detected on analysis even though it is in fact significant, this will cause the research to erroneously concluded that the treatment effect is zero and accept the null hypothesis when it is actually not zero. This is a type II error. Type II error in statistics means the non-rejection of a false null hypothesis and type I error is the rejection of a correct null hypothesis.

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Answer:

x = 1

Step-by-step explanation:

12(2 - x) + 2 = 14

24 - 12x + 2 = 14

26 - 12x = 14

-12x = -12

x = 1

Hopefully this helps!

Brainliest please?

The resultant displacement from the starting point is approximately 122.527 paces at an angle of -156.913° counterclockwise from the +x direction.

To determine the resultant displacement from the starting point, we can break down the given instructions into vector components and then calculate the sum of these vectors.

First, let's break down the instructions into vector components:

Instruction 1: Go 75.0 paces at 250°

x₁ = 75.0 * cos(250°)

y₁ = 75.0 * sin(250°)

Instruction 2: Turn to 145° and walk 125 paces

x₂ = 125 * cos(145°)

y₂ = 125 * sin(145°)

Instruction 3: Travel 100 paces at 164°

x₃ = 100 * cos(164°)

y₃ = 100 * sin(164°)

Now, let's calculate the resultant x-component and y-component:

Resultant x-component = x₁ + x₂ + x₃

Resultant y-component = y₁ + y₂ + y₃

Calculating the values:

x₁ = 75.0 * cos(250°) = -51.051 paces

y₁ = 75.0 * sin(250°) = -40.499 paces

x₂ = 125 * cos(145°) = -94.976 paces

y₂ = 125 * sin(145°) = 81.334 paces

x₃ = 100 * cos(164°) = 34.725 paces

y₃ = 100 * sin(164°) = -90.874 paces

Resultant x-component = -51.051 + (-94.976) + 34.725 = -111.302 paces

Resultant y-component = -40.499 + 81.334 + (-90.874) = -49.039 paces

Now, let's calculate the magnitude of the resultant displacement:

Magnitude of resultant displacement = sqrt((Resultant x-component)^2 + (Resultant y-component)^2)

Magnitude of resultant displacement = sqrt((-111.302)^2 + (-49.039)^2)

Magnitude of resultant displacement ≈ 122.527 paces

Finally, let's calculate the displacement angle:

Displacement angle = atan2(Resultant y-component, Resultant x-component)

Displacement angle = atan2(-49.039, -111.302)

Displacement angle ≈ -156.913°

Therefore, the resultant displacement from the starting point is approximately 122.527 paces at an angle of -156.913° counterclockwise from the +x direction.

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Answer:

A, B, D, E, F

Step-by-step explanation:

The probability that all coins show heads up is 1/16.

The probability of one is 1/2: Half of the time (on average, as all numbers in this answer will be) it will show heads.

Of those times it shows heads, only half of the time will the second coin also show heads. We're down to a quarter of the time now.

Of those times the second coin shows heads, only half of the time will the third coin also show heads. This is 1/8.

And, of the times the third coin also shows heads, only half of the time will the fourth coin also show heads. Half of 1/8 is 1/16.

You can simplify this by calculating (1/2)^4.

= 1/16

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Take all coins that are still on tails and keep flipping them until they land on heads. We flip 4 coins simultaneously. What is the probability that all coins show heads up?

Answer: x=3 and y=4

Step-by-step explanation:

Rewrite equations:

x+3y=15;2x−2y=−2

Step: Solve x+3y=15 for x:

x+3y=15

x+3y+−3y=15+−3y(Add -3y to both sides)

x=−3y+15

Step: Substitute−3y+15 for x in 2x−2y=−2:

2x−2y=−2

2(−3y+15)−2y=−2

−8y+30=−2(Simplify both sides of the equation)

−8y+30+−30=−2+−30(Add -30 to both sides)

−8y=−32

−8y over −8 = −32 over −8

(Divide both sides by -8)

y=4

Step: Substitute 4 for y in x=−3y+15:

x=−3y+15

x=(−3)(4)+15

x=3(Simplify both sides of the equation)

\({ \begin{array} {l}\\ \quad \qquad \huge\color{green}{\boxed{ \colorbox{black}{ \color{green}{ \tt {Answer}}} }} \\ \\ \dashrightarrow \sf5(9 - x) + 2 {}^{2} \div 2 \\ \\ \dashrightarrow \sf45 - 5x+ (4 \div 2) \\ \\ \dashrightarrow \sf45 - 5x + 2\\ \\ \dashrightarrow\sf47 - 5x\\ \\ \texttt{hence, the equivalent expression is : -5x + 47 }\end{array}} \)

8+10+8+9+10+9= 54

54/6 = 9

Victor scored 9 points on his sixth quiz.

9

Answer:

the answr's 9 (im really sure it's correct btw)

mark me barinliestt :))

Explanation:

8,8,9,10,10

= median-- 9

---8,8,9,9,10,10

median= 9+9/2

= 18/2

= 9

The solution to the problem is  mathematically given as

61 (80/101)

To divide anything into equal parts, or a fraction is to show how much something is less than the total.

A common fraction in ordinary speech might be "one-half," "eight-fifths," or "three-quarters," and it would reflect the number of components of a given whole.

Generally, the expression for fractions is  mathematically given as

x=z/y

Therefore

x=6,241/ 101

x= 61 (80/101)

In conclusion, The solution to the problem is given as

61 whole number   80/101

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Answer:

I dont know I just want points

Step-by-step explanation:

Answer:

Perhaps 2/5, if I understand your question.

Step-by-step explanation:

i don't understand the format of your question:

"3 6

Х

4 5

OL

Х

?"

Is this meant to be (3/6)*(4/5)  ??

If so:

(3/6)*(4/5) = (12/30)

(12/30) = 6/15

6/1`5 = 2/5

Answer:

3a-21

Step-by-step explanation:

You multiple 3 with the inside of the parenthesis. 3 time a = 3a and 3 times negative 7 is -21

Answer:

She moved the parentheses in step 2!

Step-by-step explanation:

(5.2-4.5)-5.5+4.8 Solve inside the parentheses first.

0.7-5.5+4.8 Solve in order

-4.8+4.8=0

The value of angle S is 53°

Exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of two remote interior angles.

With this theorem we can say that

7x+2 = 4x+13+19

collecting like terms

7x -4x = 13+19-2

3x = 30

divide both sides by 3

x = 30/3

x = 10

Since x = 10

angle S = 4x+13

angle S = 4(10) +13

= 40+13

= 53°

Therefore the measure of angle S is 53°

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