Plz help. Only answer if you know.
Find the length of each side of the triangle to determine the classification. A(1,0), B(1,8), C(5,4).
1. AB =
2. BC =
3. AC =
4. Type of triangle ____________________

The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.

The hypotheses for the test are:

H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.

To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.

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Probability of obtaining a success is 0.7734

To find the probability P(X ≤ 4) for a binomial distribution with n = 7 trials and a probability of obtaining a success p = 0.5, we can use the cumulative distribution function (CDF) of the binomial distribution.

The CDF gives us the probability that the random variable X takes on a value less than or equal to a certain value. In this case, we want to find the probability of X being less than or equal to 4.

We can use the formula for the CDF of a binomial distribution:

CDF(k) = Σ(k, i=0) (n choose i) * p^i * (1-p)^(n-i)

where (n choose i) represents the binomial coefficient, which calculates the number of ways to choose i successes out of n trials.

Using this formula, we can calculate the probability P(X ≤ 4) as follows:

P(X ≤ 4) = CDF(4) = Σ(4, i=0) (7 choose i) * (0.5)^i * (1-0.5)^(7-i)

Let's calculate this probability step by step:

P(X ≤ 4) = (7 choose 0) * (0.5)⁰ * (1-0.5)^(7-0)

+ (7 choose 1) * (0.5)¹* (1-0.5)^(7-1)

+ (7 choose 2) * (0.5)² * (1-0.5)^(7-2)

+ (7 choose 3) * (0.5)³* (1-0.5)^(7-3)

+ (7 choose 4) * (0.5)⁴ * (1-0.5)^(7-4)

Now we can calculate each term and sum them up:

P(X ≤ 4) = (1) * (1) * (0.5)⁷

+ (7) * (0.5) * (0.5)⁶

+ (21) * (0.5)² * (0.5)⁵

+ (35) * (0.5)³ * (0.5)⁴

+ (35) * (0.5)⁴ * (0.5)³

Simplifying the calculation:

P(X ≤ 4) = 0.0078 + 0.0547 + 0.1641 + 0.2734 + 0.2734

= 0.7734

Rounding to four decimal places, P(X ≤ 4) is approximately 0.7734.

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If the randomly selected student denies having a visa, the probability that the student also denies having a mastercard is 0.

To calculate the probability that a student denies having a Mastercard given that they have already denied having a Visa, we need to use conditional probability. Let's use the notation:

Dv: the event that a student denies having a Visa

Dm: the event that a student denies having a Mastercard

We want to find P(Dm | Dv), the probability that a student denies having a Mastercard given that they have already denied having a Visa.

We can use Bayes' rule to calculate this probability:

P(Dm | Dv) = P(Dv | Dm) * P(Dm) / P(Dv)

We know that the probability of a randomly selected student denying having a Mastercard is P(Dm) = 0.4, as given in the problem.

We also know that the probability of a randomly selected student denying having a Visa, given that they do not have a Mastercard, is P(Dv | not Dm) = 0.9, as given in the problem. This means that the probability of a student having a Visa and a Mastercard is P(not Dv and not Dm) = 0.1.

To find the probability of a randomly selected student denying having a Visa, we can use the law of total probability:

P(Dv) = P(Dv | Dm) * P(Dm) + P(Dv | not Dm) * P(not Dm)

P(Dv) = 0.6 * 0.4 + 0.1 * 0.6

P(Dv) = 0.24 + 0.06

P(Dv) = 0.3

Therefore, we have:

P(Dm | Dv) = P(Dv | Dm) * P(Dm) / P(Dv)

P(Dm | Dv) = 0 * 0.4 / 0.3

P(Dm | Dv) = 0

This means that the probability that a student denies having a Mastercard, given that they have already denied having a Visa, is 0. In other words, if a student denies having a Visa, they cannot also deny having a Mastercard.

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Answer:

x=8.

Step-by-step explanation:

according to the given coordinates the required line is vertical (the value of 'x' is 8), then the required equation is: x=8.

The solution to the system of equations y = -2x + 4 and y = 1/2x + 4 is the point (0, 4)

A system of equations is a set of two or more equations that are to be solved simultaneously.

The solution of a system of equations is a set of values that satisfy all the equations in the system.

Given the equations:

y = -2x + 4

y = 1/2x + 4

The question implies that we solve graphically

So, we create a plot of the equations y = -2x + 4 and y = 1/2x + 4

And we write out the coordinate of the point of intersection between the two equations

From the graph of the system of equations (see attachment), we have the point of intersection to be (0, 4)

This means that the solution to the system of equations is (0, 4)

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Complete question

Solve the system of equations graphed on the coordinate axes below.

y = -2x + 4

y = 1/2x + 4

Answer:

C. y=10x + 5

Step-by-step explanation:

y=10(2)+15

y=20+5

y=25 and x=2

This is the only one that works.

Answer:

I got D

Step-by-step explanations

I did y2-y1/x2-x1

I did 40-25/5-2 which will equal to 15/3=5

then I did 25=2x+b

25=2(5)+b

25=10+b

subtract 10

then you will get 15

So it will be y=5x+15

if I am wrong please correct me thanks :)

Answer:

5,154

Step-by-step explanation:

The degree measurement of angle C' would be 123 degrees.

A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other. The direction or the path of this change in position of the object can vary i.e., initially the object can move left, then turn right, and so on. While translating, all the points on the shape will shift by the same number of units. For example, if one point shifts 2 units to the right, then all the points will also move 2 units to the right.

Any object represented in the coordinate plane can be translated horizontally (left/right) or vertically (up/down). A shape before translations are applied is known as "preimage" and the shape that is obtained after the application of translations is known as "image. In simple words:

1) "Preimage" is the shape before translation.

2) "Image" is the shape after translation.

The given trapezoid is translated diagonally, and thus, there is no change made in the angles.

Thus, the degree measurement of angle C' would be 123 degrees.

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answer : 13

steps:

its asking

subtract 8 from 60 which is 56

subtract 10 from 75 which is 65

then its asking

find the largest number that can divide 56 and 65

that number is

13

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We integrate over the surface S to obtain the result. The specific integration limits and method depend on the parameterization or representation of the surface S, which is not provided in the question.

To evaluate the integral ∫∫S curl F · dS using Stokes' Theorem, we need to calculate the curl of the vector field F and find the outwardly oriented surface integral over the surface S.

Given \(F(x, y, z) = xyz i + xy j + x^2yz k\), we first need to find the curl of F:

curl\(F = (∂Fz/∂y - ∂Fy/∂z) i + (∂Fx/∂z - ∂Fz/∂x) j + (∂Fy/∂x - ∂Fx/∂y) k\)

Taking partial derivatives, we get:

curl \(F = (xz - xy) i + (yz - y) j + (xy - 2xyz) k\)

Now, let's consider the surface S, which consists of the top and four sides (but not the bottom) of the cube with vertices (±4,±4,±4). Since S is oriented outward, we need to find the normal vector for each face and the top.

The normal vector for each face is either ±i, ±j, or ±k, depending on the face's orientation. For the top face, the normal vector is k.

Now, we can evaluate the surface integral using Stokes' Theorem:

∫∫S curl F · dS = ∫∫S (curl F) · n dS

Since the normal vector is constant and the magnitude of the normal vectors for each face is 1, we can simplify the integral as follows:

∫∫S curl F · dS = ∫∫S (curl F) · k dS

Now, we need to evaluate the surface integral over S using the normal vector k:

\(∫∫S curl F · dS = ∫∫S (xy - 2xyz) dS\)

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If the population standard deviation of a sample increases without other changes, the confidence interval is most likely to widen.

This is because the standard deviation is a measure of the spread of the data, so if it increases, the data points are more spread out from the mean. As a result, the range of values that could reasonably contain the true population parameter (i.e., the confidence interval) needs to be wider to account for the increased variability in the sample.
If the population standard deviation of a sample increases without other changes, the confidence interval is most likely to become wider.
When standard deviation increases, it indicates more variability in the data. As a result, the confidence interval, which is a range of values that estimates the true population parameter with a certain level of confidence, needs to be wider to account for the increased variability. This ensures that the true population parameter is still captured within the interval with the same level of confidence.

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Answer:

Yes, they are similar in terms of the size of their angles.

Step-by-step explanation:

The angles of a triangle always add up to 180°, so

Triangle CDE's missing angle: 180 - (60 + 53) = 67

Triangle FGH's missing angle: 180 - (67 + 60) = 53

Answer:

Yes, the triangles are similar

Step-by-step explanation:

In order for two triangles to be similar, at least two corresponding angles must be congruent.

We know DCE and GFH are congruent, because they are both 60°, so that's one angle down, now we need one more.

We can either choose to see if CDE and FGH are the same, or CED and FHG. I'll choose CDE and FGH.

We know CDE is 53°, so we need to find FGH to see if it's also 53°.

The sum of the interior angles of a triangle are 180°, so we can find FGH by doing 180-60-67=53°, so CDE and FGH are congruent.

Knowing DCE and GFH are congruent, and CDE and FGH are congruent, we can say that these triangles are similar.

The total number of candies in the store is 312. It is obtained by using the concept of exponent and power on the given problem.

What is an Exponent?

The number of times a quantity is multiplied by itself is referred to as an exponent or power of the given quantity. For eg: 25, where 5 is an exponent or power of 2 and 2 is called the base of exponent 5. Any quantity raised to the power 0 always returns 1 as result.

Calculation of the total number of candies in the store

(36)2 * 30

Using the properties of an exponent, we have

A number with an exponent of 0 always gives 1

(36)2 * 1

(3)6×2 * 1

312 * 1

312

Thus, the total number of candies in the store is 312.

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Answer/Step-by-step explanation:

When you have one or more parentheses inside a parentheses you change it to bracket so it is easier to tell which parentheses belongs to which.

Instead of ((-2+5)x4), it would be [(-2+5)x4]

It does not affect the answer

Answer:

Rotate 'r' anticlockwise to form 315° angle with the positive x-axis. The tan of 315 degrees equals the y-coordinate(-0.7071) divided by x-coordinate(0.7071) of the point of intersection (0.7071, -0.7071) of unit circle and r.

Step-by-step explanation:

basicly what I said

Answer: y = 5x + 26

Step-by-step explanation:

To find the equation of a line that is perpendicular to the given line y = -1/5x + 1 and passes through the point (-5, 1), we need to determine the slope of the perpendicular line. The given line has a slope of -1/5. Perpendicular lines have slopes that are negative reciprocals of each other. So, the slope of the perpendicular line will be the negative reciprocal of -1/5, which is 5/1 or simply 5. Now, we have the slope (m = 5) and a point (-5, 1) that the perpendicular line passes through.

We can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Substituting the values, we get:

y - 1 = 5(x - (-5))

Simplifying further:

y - 1 = 5(x + 5)

Expanding the brackets:

y - 1 = 5x + 25

Rearranging the equation to the slope-intercept form (y = mx + b):

y = 5x + 26

Therefore, the equation of the perpendicular line that passes through the point (-5, 1) is y = 5x + 26.

The table of values that represents exponential decay is (c)

From the question, we have the following parameters that can be used in our computation:

The table of values

An exponential function is represented as

y = abˣ

Where

Rate = b

When the rate is less than 1, then the table represents a decay

i.e when y reduces as x increases

The table that has the above features is the table (c)

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The equation 6x + 3y = 12 when solved for y is y = -2 x + 4. (Option A)

An equation refers to a statement that indicated that the values of two mathematical expressions are equal. The equation’s equality is indicated by the sign ‘=’.

The given equation is 6x + 3y = 12.

In order to solve for y, isolate the y term and express it in single unit. Hence, isolating the y term

6x + 3y – 6x = - 6x +12

3y = - 6x +12

In order to express y term in single unit, divide both sides by 3 and simplifying.

(1/3)3y =(1/3)(- 6x +12)

y =- 2x + 4

Note: The question is incomplete. The complete question is probably is: Which represents the equation 6 x + 3 y = 12 when solved for y? A) y = negative 2 x + 4 B) y = 2 x + 4 C) y = negative 2 x minus 4 D) y = 2 x minus 4

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Answer:

its a

Step-by-step explanation:

its the only one that would be parallel because slope is the same

The p-value to 4 decimal places is 0.0348.

When performing a right-tailed t-test with test statistic t = 1.87 and a sample of size 40, the p-value to 4 decimal places is 0.0348. A p-value is the probability of observing a sample statistic as extreme as the test statistic in the null hypothesis assuming that the null hypothesis is true.

A t-test is a statistical method used to compare two groups, it is used to determine whether there is a significant difference between the means of two groups or if it is due to chance.To find the p-value for this problem we need to use the t-distribution table with n - 1 degrees of freedom. We are given that the sample size is 40, hence, the degrees of freedom is n - 1 = 40 - 1 = 39.

Since it is a right-tailed test, we are interested in the area to the right of t = 1.87. We have: t = 1.87p-value = P(t > 1.87)Using a t-distribution table with 39 degrees of freedom, we find the value of 1.87 and we see that the area to the right of it is 0.0348.

Hence, the p-value to 4 decimal places is 0.0348.

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Answer:

I believe the answer would be 30 people.

Step-by-step explanation:

To calculate the percentage out of a group of people or items, you just multiply the percent (in decimal form) by the amount of people you want it out of. For example: A 0.1% chance out of 1,000 people would be a chance and expectancy of 1 person out of those 1,000 people. In this case it's 3% for every person. 0.03 • 1,000 is 30.

Answer:

Is non-linear

Step-by-step explanation:

It is a quadratic function

Answer:

Step-by-step explanation:

Answer:

(4+2)(6-2)

24+8+12-4

44-4

40

Answer:

youre welcome- have a nice day

Step-by-step explanation:

Answer:

14 [m].

Step-by-step explanation:

1) in the square ABCD AC is diagonal, its length can be calculated as AB*√2;

2) the length of AB can be calculated:

AB=√Area(ABCD); ⇒ AB=√98;

Then

3) AC=√98*√2=14 [m].

Answer:

\(14\:m\)

Step-by-step explanation:

ABCD is a square. (Given)

\( \implies \: A(square) = \overline{AB} ^{2} \\ \\ \implies \: 98 = \overline{AB} ^{2} \\ \\ \implies \: \overline{AB} = \sqrt{98} \\ \\ \implies \: \overline{AB} = \sqrt{ {7}^{2} \times 2} \\ \\ \implies \: \overline{AB} = 7\sqrt{ 2}\\\\\implies \overline{AC}= \overline{AB} \times \sqrt 2 \\\\\implies \overline{AC}= 7\sqrt{ 2} \times \sqrt 2\\\\\implies \overline{AC}= 14\: m\)

The rate at which the diameter decreases when the diameter is 10 cm is -0.00798 cm/min.

To find the rate at which the diameter decreases, we can use the relationship between the surface area and the diameter of a sphere.

The surface area of a sphere is given by the formula:

A = \(4\pi r^2\), where A is the surface area and r is the radius (which is half the diameter).

Differentiating both sides of the equation with respect to time t, we get:

dA/dt = 8πr(dr/dt).

We are given that the surface area decreases at a rate of \(1 cm^2/min\), so dA/dt = \(-1 cm^2/min\). We want to find dr/dt when the diameter is 10 cm, which means the radius is r = 10/2 = 5 cm.

Substituting these values into the equation, we have:

-1 = 8π(5)(dr/dt).

Simplifying, we get:

-1 = 40π(dr/dt).

Now, solving for dr/dt:

dr/dt = -1 / (40π).

Using a calculator, this evaluates to approximately -0.00798 cm/min.

Therefore, when the diameter is 10 cm, the rate at which the diameter decreases is approximately -0.00798 cm/min. Note that the negative sign indicates the decrease in diameter.

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Answer:

In standard notation, the number is \(2.6 * 10^4\) light years

Step-by-step explanation:

We have to write the number 26,000 in standard notation,

in standard notation, there is 1 number before the decimal and all others come after the decimal and some power of 10 is multiplied depending upon the number,

in our case,

26000 = 2.6 * 10^4

(since the number is 26 thousand 2.6 ten thousand and ten thousand = 10^4)

Answer:

3.6

Step-by-step explanation:

The average of 9 scores is x.

average = (sum of scores)/(number of scores)

x = (sum of scores)/9

sum of scores = 9x

The sum of the 9 scores is 9x.

The tenth score is 36 more than x, so it is x + 36.

The sum of the 10 scores is 9x + x + 36 = 10x + 36.

The average of the 10 scores is (10x + 36)/10 = x + 3.6

The difference of averages is

x + 3.6 - x = 3.6

There are several subtypes of qualitative data techniques, including interview, focus groups, observations, case studies and document analysis.

Interviews: These are one-on-one conversations between the researcher and participant(s), where the researcher asks open-ended questions to gather information.

Focus Groups: These are group discussions where a researcher moderates the conversation and asks participants to share their experiences and opinions on a particular topic.

Observations: These involve the researcher directly observing and documenting behaviors, actions, and interactions of individuals or groups in a natural setting.

Case Studies: These involve in-depth exploration and analysis of a single individual or group, often used in fields such as psychology and social work.

Document Analysis: This involves reviewing and analyzing written or recorded materials such as texts, videos, or audio recordings to gain insight into a particular topic or phenomenon.

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Answer:

$57.289

Step-by-step explanation:

18% of 48.55

48.55 × 18 ÷ 100

= 8.739

48.55 + 8.739

=$57.289