#14Change from standard form to vertex formy= x²+8x+15

Answer:

3/7

Step-by-step explanation:

Answer:

0.429 and 3/7

Explanation:

The correct answer for reaction time is 0.6687

What is reaction time ?

Response time( RT) is a measure of the swiftness with which an organism responds to some kind of encouragement.

RT is defined as the interval of time between the donation of the encouragement and appearance of applicable voluntary response in the subject.

This is a simple tool to measure your response time. The normal( standard) response time is 273 milliseconds, according to the data collected so far.

Let X is a random variable that shows the reaction time.

Given that: μ=3, σ=0.2

The z-score for X = 2.6 is:

= (2.6-3)0.2 = -2 σ

The z-score for X = 3.1 is

= (3.1-3)0.2 = 0.5 σ

Using z table, the probability that X is between 2.6 and 3.1 is:

P(2.6 < X < 3.1) = P(-2 < z < 0.5)

= P(z < 0.5) - P(z < -2)= 0.6915 - 0.0228 = 0.6687

Hence, the reaction time is 0.6687

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The proportion of the participants which will lie between 4.6 and 4.1 seconds is appropximately 30.72%.

Given that the sample size is 49 and the average time is 4 seconds and standard deviation is 0.2.

We are required to find the proportion of the participants that will lie between 4.6 and 4.1 seconds.

We have to apply z test in this because the sample size is greater than 30.

The proportion of the participants which will lie between 4.6 and 4.1 seconds=Proportion of participants that lie between 4 seconds and 4.1 seconds-Proportion of participants that lie between 4.1 and 4.6 seconds.

Z value of the value between 4 and 4.1=(4.1-4)/0.2

=0.1/0.2

=0.5

P value=0.1915

Z value of the value between 4 and 4.6=(4.6-4)/0.2

=0.6/0.2

=3

P value=0.4987

The proportion of the participants which will lie between 4.6 and 4.1 seconds=0.4987-0.1915

=0.3072

=30.72%

Hence the proportion of the participants which will lie between 4.6 and 4.1 seconds is appropximately 30.72%.

Question is incomplete. It should include the following information:

Sample size is 49 and the average time is 4 seconds and standard deviation is 0.2.

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Eye color in this study is a categorical variable, and the corresponding trustworthiness rating is a numerical variable.

Categorical variable: "Eye color" is a categorical variable because it represents discrete categories or groups of individuals based on their eye color, such as blue, brown, green, etc. Categorical variables are qualitative variables that do not have numerical values and are typically used to represent characteristics or attributes of individuals or objects.

Numerical variable: "Trustworthiness rating" is a numerical variable because it represents a quantitative value assigned to individuals based on their trustworthiness. Numerical variables are quantitative variables that have numerical values and can be measured on a continuous or discrete scale, allowing for mathematical calculations and statistical analysis. In this case, the trustworthiness rating is a numerical variable that represents a quantitative measure of trustworthiness.

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Complete Question

Determine the categorical and numerical variables in this study. Eye color in this study is a __________ variable, and the corresponding trustworthiness rating is a __________ variable.

Answer:

It will take 51 days for the flowering plant to be 2 feet tall.

Step-by-step explanation:

Lets say d are the Days. Lets make an equation. 2 feet is 24 inches.

11.25 + 0.25d = 24

-11.25                 -11.25

0.25d = 12.75

0.25    0.25

d = 51

Answer:

C- $750

Step-by-step explanation:

36,000 = 48b

Since the tuition fees for 4 years equals $36,000, you would first need to solve how many months equals 4 years (48). Divide the total sum of the tuition ($36,000) by the number of months the student would have to pay (48) in order to get $750/mo.

The length of the missing leg for the right triangle is 16 yd using the Pythagoras rule.

The Pythagoras rule states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. 

Pythagoras rule we can evaluate for b as follows:

65² = 63² + b²

b = √(65² - 63²) {make b the subject}

b = √(4225 - 3969)

b = √256

b = 16

Therefore, the length of the missing leg for the right triangle is 16 yd using the Pythagoras rule.

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The fraction that 1 4/5 is of 1 2/3 is 1 2/25.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

Let the fraction be illustrated as x

Therefore, 1 2/3 of x = 1 4/5

5x/3 = 9/5

Cross multiply

5x × 5 = 3 × 9

25x = 27

Divide

x = 27 / 25

x = 1 2/25.

The fraction is 1 2/25.

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Answer:

Who is Mrs. Thomas?

Step-by-step explanation:

Answer:

252 cph

Step-by-step explanation:

756 divide by 3 is 252

Answer:252

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

Here, we are interested in calculating the value of x.

We can obtain this from the given angle in the question.

Mathematically;

<CDE = <YDE + <CDY

Thus;

147 = 10x-3 + 21x-5

147 = 31x -8

31x = 8 + 147

31x = 155

x = 155/31

x = 5

The solution is x4 is free. Setting x4 = 1, we get x1 = -1/2, x. To find the eigenvalues and eigenvectors of matrix A,.

We start by solving the characteristic equation:

det(A - λI) = 0

where I is the identity matrix and λ is the eigenvalue. This gives us:

|1-λ 4 1 2 |

| 0 2-λ 2 1 |

| 1 2 2-λ 1 |

| 2 1 1 2-λ| = 0

Expanding along the first row, we get:

(1-λ) [ (2-λ)(2-λ) - 1 ] - 4[ 2(2-λ) - 1 ] + 1[ 1(1-λ) - 2 ] - 2[ 2(1-λ) - 2 ] = 0

Simplifying and rearranging, we get:

λ^4 - 7λ^3 + 16λ^2 - 14λ = 0

Factoring out λ, we get:

λ(λ-2)(λ-4)(λ-1) = 0

Therefore, the eigenvalues of matrix A are λ1 = 0, λ2 = 1, λ3 = 2, and λ4 = 4.

Next, we find a basis for each eigenspace by solving the system of equations (A - λI)x = 0 for each eigenvalue.

For λ1 = 0, we have:

|1 4 1 2 | |x1| |0|

|0 2 2 1 | x |x2| = |0|

|1 2 2 1 | |x3| |0|

|2 1 1 2 | |x4| |0|

Reducing the augmented matrix to row-echelon form, we get:

|1 0 -1 0 | |x1| |0|

|0 1 1/2 0| x |x2| = |0|

|0 0 0 1 | |x3| |0|

|0 0 0 0 | |x4| |0|

The solution is x3 = 0 and x4 is free. Setting x4 = 1, we get x1 = x3 = 0 and x2 = -1/2. Therefore, a basis for the eigenspace corresponding to λ1 = 0 is {[-1/2, 0, 1, 0]^T}.

For λ2 = 1, we have:

|0 4 1 2 | |x1| |0|

|0 1 2 1 | x |x2| = |0|

|1 2 1 1 | |x3| |0|

|2 1 1 1 | |x4| |0|

Reducing the augmented matrix to row-echelon form, we get:

|1 0 0 1/2 | |x1| |0|

|0 1 0 -5/2| x |x2| = |0|

|0 0 1 -1/2| |x3| |0|

|0 0 0 0 | |x4| |0|

The solution is x4 is free. Setting x4 = 1, we get x1 = -1/2, x

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Step-by-step explanation:

Break it up into two trapezoids as shown

area = trap1 + trap2

      = 2 *   (7+3) / 2   + 3 *  ( 7 + 3) / 2 = 10 + 15 = 25 units^2

Area = 300 ft^2

Formula

Area = length of a side x length of a side

Substitution

300 = length of a side ^2

The length of a side is between 17 and 18

Answer:

The length of the side of the square is approximately \(17.32\) feet, which lies between the whole numbers \(17\) and \(18\).

Step-by-step explanation:

Step 1: Assume your variable

Since all the sides of a square are the same, let's consider the side to be the variable: \(x\).

Step 2: Create an equation

The formula for the area of a square is:

\(\text{Area}=\text{Side}^{2}\)

We have assumed the side to be \(x\), and the area is said to be \(300\), so substitute these values into the formula:

\(\text{Area}=\text{Side}^{2}\\300=x^{2}\)

Step 3: Solve the equation

Using the formula for the area of a square, we came to find an equation:

\(x^{2}=300\)

Now, let's find the value of \(x\):

\(x^{2}=300\\\\\text{Square root both sides of the equation:}\\\sqrt{x^{2}}=\sqrt{300}\\\\\text{Simplify:}\\x=\sqrt{300}\\\\\text{Calculate:}\\x\approx 17.32\)

The length of the side of the square is approximately \(17.32\) feet.

As we know, this number lies between \(17\) and \(18\).

Answer: D

Step-by-step explanation: just took it

Triangle properties include triangle inequality, angle sum, congruence, exterior angle theorem, and isosceles triangle theorem.

1. Triangle Inequality: The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

2. Angle Sum of a Triangle: The sum of the angles of a triangle is always equal to 180°.

3. Congruence of Triangles: If two triangles have all three sides equal, then they are congruent (the same size and shape).

4. Exterior Angle Theorem: The measure of an exterior angle of a triangle is equal to the sum of the measures of the two interior angles that are not adjacent to it.

5. Isosceles Triangle Theorem: If two sides of a triangle are equal in length, then the angles opposite those sides are also equal in measure.

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The five properties of triangle is listed below.

The term triangle is defined as the polygon with three angle, sides and vertices.

Here we have to list down the properties of triangle.

The basic five properties of triangle are as follows:

1) in geometry, total amount of space inside the triangle is called the area of a triangle. And it is measured by square units.

2) The property of perimeter of a triangle is equal to the sum of all three sides of the triangle.

3) And the another property states that sum of the length of the two sides of a triangle is greater than the length of the third side.

4) according to the angle, the property states that sum of the angles of a triangle is always 180 degrees.

5) If angles of an equilateral triangle are equal and has a measure of 60⁰ each.

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Answer:

The answer is that the probability that he will arrive at the theater within 10 minutes of (before or after) the start of the film is 0.83%.

A 2-hour movie runs continuously at a local theater.

Seth leaves for the theater without first checking the show times.

We need to use an appropriate uniform density function to find the probability that he will arrive at the theater within 10 minutes of (before or after) the start of the film.

Solution:

Total time for the movie = 2 hours=120 min.

Let us assume that the start of the movie at time 0.

let's find out the time period between 0 and 120 minutes that represents the movie length.

We can represent it by the following interval: [0, 120]

Let us consider that Seth's arrival time can be any time between 0 minutes and 120 minutes,

that is: [0, 120]

Now, the probability that he will arrive at the theater within 10 minutes of (before or after) the start of the film, can be found by the formula for uniform probability density function f(x) given by:

f(x) = 1 / b-a ,

where b is the upper limit and a is the lower limit of the interval of the random variable x.

f(x) gives the probability of finding the random variable x in the interval [a, b]

Here, the lower limit, a=0 and the upper limit, b=120.

Now, f(x) = 1/120-0

f(x) = 1/120

= 0.0083

Therefore, the probability that Seth will arrive at the theater within 10 minutes of (before or after) the start of the film is 0.0083, or 0.83%.

Hence, the answer is that the probability that he will arrive at the theater within 10 minutes of (before or after) the start of the film is 0.83%.

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To generate a Pascal matrix of size 5 x 5 in MATLAB live script, you can use the `pascal` function followed by indexing to obtain the desired size.

Here are the commands:

```matlab
p = pascal(5);
p = p(1:5, 1:5);
disp(p)
```


The `pascal` function in MATLAB generates a Pascal matrix of a specified size. The resulting matrix has the same number of rows and columns as the input argument.

To obtain a Pascal matrix of size 5 x 5, we use the `pascal(5)` command. However, this will generate a matrix of size 5 x 5 with extra rows and columns. Therefore, we use indexing to extract the first 5 rows and columns using `p(1:5, 1:5)`.

Lastly, we use `disp(p)` to display the resulting Pascal matrix in the command window.


By using the `pascal` function and indexing, we can easily generate a Pascal matrix of a specified size in MATLAB live script.

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Answer:

b=1

Step-by-step explanation:

9 (b + 7)= 72

9b + 63= 72

9b=9

b=1

unless you want the value when you plug the b back in with out solving then its 9

The standard normal curve, also known as the standard normal distribution or the z-distribution, is a specific probability distribution that follows a bell-shaped curve. The area under the standard normal curve to the right of z = 3 is approximately 0.0013.

For the area under the standard normal curve to the right of z = 3, we need to calculate the cumulative probability from z = 3 to positive infinity.

The standard normal distribution, also known as the z-distribution, has a mean of 0 and a standard deviation of 1. It is a symmetric bell-shaped curve that represents the distribution of standard scores or z-scores.

Using statistical tables or software, we can find the cumulative probability associated with z = 3, which represents the area under the curve to the left of z = 3.

The cumulative probability for z = 3 is approximately 0.9987.

For the area to the right of z = 3, we subtract the cumulative probability from 1.

Therefore, the area to the right of z = 3 is approximately 1 - 0.9987 = 0.0013.

In conclusion, the area under the standard normal curve to the right of z = 3 is approximately 0.0013.

This means that the probability of randomly selecting a value from the standard normal distribution that is greater than 3 is approximately 0.0013 or 0.13%.

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Answer:6

Step-by-step explanation:

Answer:

1. r=5  C=31.4    A=78.5

2. D=18     C=56.52    A=254.34

3. D=38   C=119.32    A=1133.54

4.  D=4   C=12.56     A=12.56

5. r=15     C=94.2    A=706.5

6. D=34    C=106.76     A=907.46

For 7, I couldn't tell if the given Diameter was 8 or 6 so I did both. If it is an 8, then r = 4, C=25.12, and A=50.24;    If it is a 6, then r = 3, C=18.84, and A=28.26

8. r=10     C=62.8     A=314

9. D=32    C=100.48     A=803.84

Step-by-step explanation:

Radius is always half the diameter, and the Diameter is always twice the Radius. For example, number 1, it tells you the Diameter is 10, so the Radius is 5 (10/2=5). And on 2, it tells you the radius is 9, so the Diameter is 18 (9x2=18).

The top of your paper has the equations for both Circumference and Area of a circle. To show you how to properly input those numbers, I'll use number 1 again as example.

For Circumference, it tells you the equation is πD. That means that Circumference is 3.14 (which is what they say to use as π) times the Diameter. So we know the Diameter is 10, so we have 3.15 times 10 which gives you 31.4.

For Area, it tells you the equation is π\(r^{2}\). That means the Area is 3.14 times the Radius to the power of 2. Because we know what the radius is 5 from before, we can input it as such, 3.14 times \(5^{2}\). In the end, that gives you 78.5.

If you have any other questions, feel free to ask :) Hope this helped!

Answer:

No, they are not

Step-by-step explanation:

Answer:

square millimeters

Step-by-step explanation:

The surface area will always have answer in

square millimeters / meters / centimeters, etc.

The formation's height is 31 meters to the closest meter.

In mathematics, height is defined as the vertical distance between an object's top and bottom. It is also referred to as 'altitude.' The term height in geometry refers to the measurement of an object along the y-axis in coordinate geometry.

Height, altitude, and elevation all refer to the vertical distance between the top and bottom of something or between a base and anything above it. Height is a standard bodily measurement that is commonly measured in feet (ft) + inches (in) in the United States and centimeters (cm) abroad. Because they are length measurements, the SI unit would be meters.

We can use the tangent function to calculate the formation's height, h.

tan ( 36°) = h/43

Here, we have to multiply both sides by 43 we get,

43tan (36°)= h

h=31m

Therefore, the height of the formation to the nearest meter is 31m.

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The value of an expression using combinations  ¹⁰C₄ ⁴C₂ is 1260.

The formula for finding the combination of any given expression is given:

So,

Then,

Therefore, the value of an expression using combinations  ¹⁰C₄ ⁴C₂ is 1260.

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Answer:

Since MA ≠ TH, hence MATH is not a rectangle

Step-by-step explanation:

To prove that quadrilateral MATH, M (-4,-1) A(-3,2). T(3,0), H(2-3) is a rectangle, we need to get the length of each sides and show that MA =TH and MH = TA

For MA:

M (-4,-1) A(-3,2)

MA = √(2+1)²+(3+4)²

MA = √(3)²+(7)²

MA = √9+49

MA =√58

For TH:

T(3,0), H(2-3)

TH = √(-3-0)²+(2-3)²

TH = √(-3)²+(-1)²

TH = √9+1

TH =√10

For TH:

M(-4,-1), H(2-3)

MH = √(-3+1)²+(2+4)²

MH = √(-2)²+(6)²

MH = √4+36

MH =√40

For TA:

T(3,0), A(-3,2)

TA = √(2-0)²+(-3-3)²

TA = √(2)²+(-6)²

TA = √4+36

TA =√40

Since MA ≠ TH, hence MATH is not a rectangle

Answer:

its candice ;)

ANSWER:

C) 1

STEP-BY-STEP EXPLANATION:

The value of k is determined by the value of the y-intercept in this case.

We can see that the y-intercept occurs when y = 1, therefore the value of k is 1.

Answer:

AD = 12

Step-by-step explanation:

Find the diagram attached

From the given diagram, it can be inferred that;

AB = AD+DB and AD = DB

AB = AD + AD

AB = 2AD

AD = AB/2

Given that AB = 24

AD = 24/2

AD = 12

Hence the length of AD is 12

Answer: 10

Step-by-step explanation:

I got it right after trying the answer of 12 on CAOLA