if the number of samples were doubled, what would be the new confidence interval (keeping the same confidence level?)

Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete answer.

A given line has the equation 2x + 12y = −1.

What is the equation, in slope-intercept form, of the line that is perpendicular to the given line and passes through the point (0, 9)?

General formula of equation of a line is exspressed as y = mx+c

m = gradient or slope  

c = intercept

Step 1: we need to first get the slope of the given equation of a line by rewriting the equation in standard form y = mx+c

2x + 12y = −1

12y = -1-2x

y = -1/12-2x/12

y = -1/6 x - 1/12

From the equation above, it can be seen that the slope (m) of tghe line is -1/6.

Since both lines are perpendicular, the slope of the unknown line will be;

M = -1/m

M = -1/(-1/6)

M = 6

Step 2: We will find the intercept c by substituting the point (0,9) and the slope into the equation y = mx+c

9 = 6(0)+ c

c = 9

Stwp 3: We will find the equation of the line perpendicular to the given line by substituting the value of m and c into the equation y = mx+c

y = 6x+9

y-6x = 9

The equation in slope-intercept form, of the line that is perpendicular to the given line and passes through the point (0, 9) is y-6x = 9

Answer:

y-6x=9

Step-by-step explanation:

The domain of the function C(m) = 0.05m + 20 is (0, ∞) and the range of the function C(m) = 0.05m + 20 is (20, ∞).

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

Haley pays a monthly fee of $20 for her cell phone and then pays 5 cents per minute used. The total cost of Haley’s monthly cell phone bill can be expressed by the function

\(\rm C(m) = 0.05\ m + 20\)

The domain of the function is from zero to infinity because time can never be negative.

Then the range of the function will be

At m = 0, the value of C(m) will be

C(m) = 0.05(0) + 20

C(m) = 20

At m = ∞, the value of C(m) will be

C(m) = 0.05(∞) + 20

C(m) = ∞

Thus, the domain of the function is (0, ∞) and the range of the function is (20, ∞).

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Answer:

Step-by-step explanation:

△ RST ≅ △ TXY

We are given ΔRST and ΔTXY are congruent to each other.

If two triangles are congruent to each other then their corresponding parts are equal.

Please see the attachment of two triangles.

∠R is corresponding to ∠T

∵  ∠R=∠T By CPCT

∠XYT is corresponding to ∠STR

∵  ∠XYT=∠STR By CPCT

∠XTY is corresponding to ∠SRT.

∵  ∠XTY=∠SRT By CPCT

∠TXY is corresponding to ∠RST

∵  ∠TXY=∠RST By CPCT

CPCT: Congruent part of congruence triangle.

Answer:

500=D 100=M

Step-by-step explanation:

I hope that helps :D

FLDA refers to Fisher's Linear Discriminant Analysis, which is a supervised classification algorithm, while LDA typically refers to Latent Dirichlet Allocation, an unsupervised algorithm for topic modeling.

The terms "FLDA" and "LDA" are often used interchangeably, but they can have different meanings in different contexts. Let me explain the two most common interpretations of these terms:

Fisher's Linear Discriminant Analysis (FLDA): Fisher's Linear Discriminant Analysis, also known as Linear Discriminant Analysis (LDA), is a popular supervised dimensionality reduction and classification algorithm. It aims to find a linear combination of features that maximizes the separation between classes while minimizing the variance within each class. The resulting linear discriminants can be used as features for classification tasks.

In FLDA, the algorithm seeks to project the data onto a lower-dimensional space by finding a projection direction that maximizes the ratio of between-class scatter to within-class scatter. It is based on the Fisher criterion and assumes that the data is normally distributed within each class.

Latent Dirichlet Allocation (LDA): Latent Dirichlet Allocation (LDA) is a probabilistic generative model used for topic modeling. It is an unsupervised learning algorithm that aims to discover latent topics in a collection of documents. LDA assumes that each document is a mixture of various topics, and each topic is a probability distribution over words.

In LDA, the algorithm tries to learn the topic distributions and word distributions that generate the observed documents. It assigns a topic distribution to each document and a word distribution to each topic. The underlying assumption is that documents are produced by a combination of topics, and each topic is characterized by a distribution of words.

Therefore, FLDA refers to Fisher's Linear Discriminant Analysis, which is a supervised classification algorithm, while LDA typically refers to Latent Dirichlet Allocation, an unsupervised algorithm for topic modeling.

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After answering the presented question, we can conclude that We know from the graph of f(x) that the vertex is at (0, 2). This means that f(x) takes on its minimum value of 2 when x = 0.

A function's domain is the range of potential values that it can accept. These numbers indicate the x-values of a function like f. (x). The range of potential values that can be utilised with a function is known as its domain. The value that the method returns after inserting the x value belongs to this set. The formula for a function with y as the dependent variable and x as the independent variable is y = f. (x). When a single value of y can be successfully produced from a value of x, that value of x is said to be in the domain of the function.

To find the value of k, we can use the fact that g(x) = f(x + k).

Let's consider the point (-1, 5) on the graph of g(x). This point corresponds to the point (-1 - k, f(-1 - k)) on the graph of f(x), since g(x) = f(x + k).

Similarly, the point (0, 4) on the graph of g(x) corresponds to the point (0 - k, f(0 - k)) on the graph of f(x), and the point (1, 3) on the graph of g(x) corresponds to the point (1 - k, f(1 - k)) on the graph of f(x).

We know from the graph of f(x) that the vertex is at (0, 2). This means that f(x) takes on its minimum value of 2 when x = 0.

The complete question is as follows:

The graph shows f(x). The absolute value function g(x) is described in the table. The graph shows a v-shaped graph, labeled f of x, with a vertex at 0 comma 2, a point at negative 1 comma 3, and a point at 1 comma 3. x g(x) −1 5 0 4 1 3 2 2 3 3 If g(x) = f(x + k), what is the value of k? k = −2 k is equal to negative one half k is equal to one half k = 2

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Answer:

The answer is B

The probability that the mean systolic blood pressure of 23 women is between 119 and 122 mm Hg is 0.0579.

The Central Limit Theorem states that the distribution of the mean of a large sample (n>30) taken from a population with a finite mean and standard deviation will be approximately normal.

Since we are given that systolic blood pressures are normally distributed and we have n = 23>30, we can assume that the mean systolic blood pressure of 23 women will be approximately normally distributed with a mean of 114.8 mm Hg and a standard deviation of 13.1/\(\sqrt{23}\) = 2.731 mm Hg.

To find the probability that the mean systolic blood pressure of 23 women is between 119 and 122 mm Hg, we can standardize the problem and use the standard normal distribution table.

We can standardize the problem by finding the number of standard deviations away from the mean of the lower and upper bounds of the range.

z_lower = (119 - 114.8) / 2.731) = 1.537

z_upper = (122 - 114.8) / 2.731) = 2.636

Now we can use the standard normal distribution table to find the probability that a standard normal variable is between z_lower and z_upper.

P(z_lower < Z < z_upper) = P(Z ≤ 2.636) - P(Z < 1.537) = 0.9958 - 0.9379 = 0.0579

Therefore, the probability that the mean systolic blood pressure of 23 women is between 119 and 122 mm Hg is 0.0579.

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The complete question is -

For women aged​ 18-24, systolic blood pressures are normally distributed with a mean of 114.8 mm Hg and a standard deviation of 13.1 mm Hg. If 23 women aged​ 18-24 are randomly​ selected, find the probability that their mean systolic blood pressure is between 119 and 122 mm Hg. Round to four decimal places.

Answer:

9 times

Step-by-step explanation:

Answer:

9 times

Step-by-step explanation:

i got 100%

Answer: -3 and 7

Step-by-step explanation:

x - 7

Add 7 to get 0

x - 7 ( + 7) = 0

x + 3

Subtract 3 to get 0

x + 3 ( - 3) = 0

Answer:

4,500,000m

Step-by-step explanation:

1.20m=120cm

5m=500m

v=l*b*h

v=120*500*75

v=4,500,000

There are 7 ways for 345 to be written as the sum of an increasing sequence of two or more consecutive positive integers.

We need to find consecutive numbers (an arithmetic sequence that increases by 1) that sum to 345. This calls for the sum of an arithmetic sequence given that the first term is k, the last term is g, and with n elements, which is:

                                           n(k+g)/2.

There are 7 ways can 345 be written as the sum of an increasing sequence of two or more consecutive positive integers.

We look for sequences of n consecutive numbers starting at k and ending at k + n − 1. We can now substitute g with k+n- 1. Now we substitute our new value of g into n(k + g)/2 to get the sum i.e.

                                n(k+k+n-1)/2 = 345

This simplifies to n(2k+n-1)/2 = 345.

This gives a nice equation. We multiply out the 2 to get that n. (2k+n-1): =690. This leaves us with 2 integers that multiply to 690 which leads us to think of factors of 690.

We know the factors of 690 are:

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

So, through inspection (checking), we see that only 2, 3, 5, 6, 10, 15, and 23 work. This gives us the answer to 7 ways.

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it's important to recognize that different individuals have unique ways of coping with and releasing tension.

Some people find solace in activities such as meditation, exercise, or engaging in hobbies and creative pursuits. Others may seek support from friends, family, or therapists to talk through their feelings and find healthy outlets.

It's crucial to find healthy and constructive ways to release tension rather than resorting to harmful or destructive behaviors. This could involve engaging in physical activities like running, yoga, or sports to channel and release pent-up energy. Creative outlets like writing, painting, or playing an instrument can provide a means of self-expression and emotional release.

Ultimately, finding a release that works for each individual depends on personal preferences, interests, and circumstances. It's essential to explore different options and identify healthy outlets that promote well-being and help manage stress and tension effectively.

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The probability of a child having type O blood is the same for both males and females and is given by 0.44.

Assuming that the inheritance of blood type follows the laws of Mendelian genetics, the probability of a child having type O blood when both parents have type B blood is 0.25. This is because each parent can contribute only one of two possible alleles for blood type, either B or O. Thus, there are four possible combinations for the alleles that the child can inherit: BB, BO, OB, and OO. Out of these four combinations, only one (OO) results in the child having type O blood.

Therefore, the probability of a son with type O blood for a couple with type B blood is 0.25 times the probability of having a son, which is 0.5, so:

P(son with type O blood) = 0.25 x 0.5 = 0.125

Therefore, the probability that a couple with type B blood will have a son with type O blood is 0.125 or 12.5%.

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Answer:

x=1/2, y=4

Step-by-step explanation:

2x+3y=13

or,y=(13-2x)/3 ........eq(i)

4x-y=-2

or,y=4x+2 ..............eq(ii)

From eq(i) and (ii),

(13-2x)/3=4x+2

or,13-2x=12x+6

or,13-6=12x+2x

or,7=14x

or,x= 7/14

x=1/2

y=4×(1/2)+2

y=4

Answer: 0.555555556

Step-by-step explanation:

15/27=0.555555556

Checking work by plugging it in: 27x0.555555556=15

======================================================

Work Shown:

a = old value = 15

b = new value = 27

c = change in values

c = b-a

c = 27-15

c = 12

The positive c value tells us that we have an increase.

Then divide over the starting value a = 15

c/a = 12/15 = 0.80

Move the decimal point two spots to the right to go from 0.80 to 80%

Or multiply 0.80 with 100% to get 0.80*100% = 80%

We have a percent increase of 80%

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

Check:

80% of 15 = 0.80*15 = 12

If the stock increases by 80%, then it has increased by $12 to go from $15 a share to 15+12 = 27 dollars a share. This confirms the answer.

A slight shortcut would be to say 1.80*15 = 27

The multiplier 1.80 represents an increase of 80% since 100% + 80% = 1 + 0.80 = 1.80

Answer:

28

Step-by-step explanation:

60-32=28

Answer:

60-32

Step-by-step explanation:

She saves 32 so subtract 60-32

Answer: 6

Step-by-step explanation:

The base angles of an isosceles trapezoid have = measure, so:

9x - 11 = 43

9x = 54

x = 6

Given that profits decrease by 13.8% when the degree of operating leverage (DOL) is 3.8.

The decrease in sales is: We have to determine the percentage decrease in sales Let the percentage decrease in sales be x.

Degree of Operating Leverage (DOL) = % change in Profit / % change in Sales3.8

= -13.8% / x Thus, we have: x

= -13.8% / 3.8

= -3.63%Therefore, the decrease in sales is 3.63%.Hence, the correct option is C) 3.63%. Percentage decrease in sales = % change in profit / degree of operating leverage

= 13.8 / 3.8

= 3.63% The percentage decrease in sales is 3.63%.

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To graph the equation y = (1/2)x, we can plot points on a coordinate plane and connect them to create a straight line. Here's how to do it:

1. Choose some x-values to evaluate the equation. Let's select a range of x-values, such as -10, -5, 0, 5, and 10.

2. Substitute each x-value into the equation to find the corresponding y-values. For example:

  - For x = -10, y = (1/2)(-10) = -5

  - For x = -5, y = (1/2)(-5) = -2.5

  - For x = 0, y = (1/2)(0) = 0

  - For x = 5, y = (1/2)(5) = 2.5

  - For x = 10, y = (1/2)(10) = 5

3. Plot the points (x, y) on a graph. In this case, the points would be:

  (-10, -5), (-5, -2.5), (0, 0), (5, 2.5), (10, 5)

4. Connect the plotted points with a straight line. The line should pass through all the points.

The resulting graph is a straight line with a slope of 1/2, passing through the origin (0, 0), and extending infinitely in both directions.

Here is a rough sketch of the graph:

```

   |      

6  |         .

   |       .

5  |     .

   |   .

4  | .  

   |

3  |   .

   |

2  |     .

   |      

1  |       .

   |      

0  -----------------------

  -10 -5  0  5  10

```

Note: The above graph is a visual representation and may not be to scale. The line should pass through the plotted points accurately.

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(a) The hazard rate function for the random variable Y is λ. (b) An algorithm for generating the random variable Y from a uniform random variable in the interval (2,5) is y = -ln(1 - U) / λ. (c) The value for which the mean of the random variable Y is 5 is 1/5.

(a) For an exponentially distributed random variable, the hazard rate function is given by:

h(y) = fx(y)/[1 - Fx(y)]

where fx(y) is the PDF of Y and Fx(y) is the cumulative distribution function (CDF) of Y.

For,

Fx(y) = 1 - e^(-λy)

and

fx(y) = λe^(-λy)

So,

h(y) = λe^(-λy) / [1 - (1 - e^(-λy))] = λ

Therefore, the hazard rate function for the random variable Y is constant and equal to λ.

(b) Using the inverse transform method. CDF of Y is:

Fx(y) = 1 - e^(-λy)

Now,

1 - e^(-λy) = U

e^(-λy) = 1 - U

-λy = ln(1 - U)

y = -ln(1 - U) / λ

Generate value of U from uniform distribution on interval (0,1), and then transform U into Y.

(c) The mean of an exponentially distributed random variable with parameter λ is:

E(X) = 1/λ

Therefore, to choose a value for the parameter λ so that the mean of the random variable Y is 5:

E(Y) = E(X) = 1/λ = 5

Solving for λ, we get:

λ = 1/5

Therefore, we can choose the parameter λ = 1/5 so that the mean of the random variable Y is 5.

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Answer:your welcome

Step-by-step explanation:

Answer:

Vertex of the quadratic function y = (x - h)² + k is:

Given function:

Its vertex is (-2, -3)

The y-intercept is the point with x = 0:

The y-intercept is (0, 1)

Answer:

Vertex: (-2, -3)
y intercept: 1

Step-by-step explanation:

If he makes the cubes as large as possible, the maximum number of cubes is equal to 900 cubes.

In order to determine the number of cubes that would be produced by Richard when the rectangular prism is cut into congruent cubes without any part of the rectangular prism leftover, we would make the edges of the cube 100 times larger and then evaluate:

Note: The greatest common factor (GCF) of the dimensions above is 75.

Next, we would divide each of the dimension by 75:

Length of cube = = 450/75 = 6 feet.

Breadth of cube = 750/75 = 10 feet.

Height of cube = 1125/75 = 15 feet.

Therefore, the maximum number of cubes is given by:

Maximum number of cubes = 6 × 10 × 15

Maximum number of cubes = 900 cubes.

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Complete Question:

Richard cuts a 4 1/2 ft × 7 1/2 ft × 11 1/4 ft rectangular prism into congruent cubes without any part of the prism leftover. If he makes the cubes as large as possible, how many will he produce?

Step-by-step explanation:

The quotient is 0.125

I think this should be the answer

Answer:

0.125

Step-by-step explanation:

Answer:

polygon has 12 sides

Step-by-step explanation:

the sum of the exterior angles of a polygon is 360°

the sum of the interior angles of a polygon is

sum = 180° (n - 2 ) ← n is the number of sides

given the sum of the interior angles is 5 times sum of exterior angles, then

sum = 5 × 360° = 1800° then

180° (n - 2) = 1800 ( divide both sides by 180 )

n - 2 = 10 ( add 2 to both sides )

n = 12

Thus the polygon has 12 sides

Answer:

13

Step-by-step explanation:

7 + 6 = 13

Answer: It will be 4.433333333 as a decimal and 4 13/30 as a mixed number in simplest form

Answer:

18.2=36

2.18+38=98

Step-by-step explanation:

The function that gives the volume v(r) of the cone when the height of 18 cm as a function of time is  \(24 \pi + 48\pi t + 24\pi t^2\).

Given that:

The height of the cone = 18 cm

The radius of the cone's base at a rate of = 2 cm.

The radius r increases at a rate of 2 cm per minute,

At t = 1,

The radius will be r =  2+ 2t

The volume of the cone is given by  \(\dfrac{1}{3} \pi r^3\).

V = \(\dfrac{1}{3} \pi r^3 h\)

 =  \(\dfrac{1}{3} \pi (2+ 2t)^2(18)\)

 =  6\pi (4+ 8t+4t^2)

= \(24 \pi + 48\pi t + 24\pi t^2\)

The function that gives the volume v(r) of the cone as a function of time is  \(24 \pi + 48\pi t + 24\pi t^2\).

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