help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

The coordinates of the point on the directed line segment from (-8, 5) to (-1, -2) that partitions the segment into a ratio of 5 to 2. Then the coordinates are (-3, 0).

Comparison in Vector

If P divides AB by the ratio AP : PB = m : n, the position vector of the point P : [tex]\boxed{\vec {p} =\frac{m\vec b + n\vec a}{m + n}}[/tex]

Suppose

The position vector of the point A (-8, 5) = a

The position vector of the point B (-1, -2) = b

Look at the picture in the attachment

Point P that partitions the segment into a ratio of 5 to 2 so that AP : PB = 5 : 2. Since m = 5 and n = 2, then:

[tex]$\begin{align} \ \vec {p} & =\frac{5\vec b + 2\vec a}{5 + 2} \\ \vec {p}& = \frac{1}{7} (5\vec b + 2\vec a) \\ \vec {p}& = \frac{1}{7} \left (5\begin{array}{c} \left[\begin{array}{cc}-1\\-2\end{array}\right] +2 \left[\begin{array}{cc}-8\\5\end{array}\right] \end{array}\right) \\ \vec {p}& = \frac{1}{7} \left (\begin{array}{c} \left[\begin{array}{cc}-5\\-10\end{array}\right] + \left[\begin{array}{cc}-16\\10\end{array}\right] \end{array}\right) \end{align}[/tex]

[tex]$\begin{align} \ \vec {p} & = \frac{1}{7} \left (\begin{array}{c} -21\\0 \end{array}\right) \\ \vec {p} & = \left (\begin{array}{c} -3\\0 \end{array}\right) \end{align}[/tex]

The coordinates that partitions the segment into a ratio of 5 to 2 is (-3, 0).

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The standard deviation for that probability distribution is 0.520.

R = amount red ball drawn from the hat

P(R) = probability red ball drawn from the hat

σ = standard deviation

Standard deviation for probability distribution can be calculated by this formula,

σ = [tex]\sqrt{\sum R^2P(R)-(\sum RP(R))^2}[/tex]

First, we calculate [tex]\sum R^2P(R)[/tex]

[tex]\sum R^2P(R)[/tex] = [tex]0^2[/tex] × 0.729 + [tex]1^2[/tex] × 0.243 + [tex]2^2[/tex] × 0.027 + [tex]3^2[/tex] × 0.001

= 0 × 0.729 + 1 × 0.243 + 4 × 0.027 + 9 × 0.001

= 0 + 0.243 + 0.108 + 0.009

= 0.36

Next, we calculate [tex]\sum RP(R)[/tex]

[tex]\sum RP(R)[/tex] = 0 × 0.729 + 1 × 0.243 + 2 × 0.027 + 3 × 0.001

= 0 + 0.243 + 0.054 + 0.003

= 0.3

Now, we can calculate standard deviation,

σ = [tex]\sqrt{\sum R^2P(R)-(\sum RP(R))^2}[/tex]

= [tex]\sqrt{0.36-(0.3)^2}[/tex]

= [tex]\sqrt{0.27}[/tex]

= 0.51961524227

round to 3 decimal places

= 0.520

Thus, this probability distribution of red balls drawn from the hat has a standard deviation of 0.520.

Your question is incomplete, but most probably your full question was (image attached)

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Answer:

B)  It is similar to triangle ABC and has coordinates A′(8, −12), B′(4, −16), and C′(−20, 8).

Step-by-step explanation:

If the vertices of a triangle ABC are dilated by a scale factor of 2, the coordinates of the vertices of triangle A'B'C' can be found by multiplying each coordinate of ABC by the scale factor.

Therefore, the coordinates of the vertices of triangle A'B'C' are:

As the triangle has been dilated, its size has changed but its shape has not.  Therefore, the triangles are similar.

The number of  subscribers they must  sample to obtain this interval is: b) 385.

How to find the sample?

95% confidence interval for z-score is  1.96

Using this formula to find the number of  subscribers  they must sample to obtain this interval

n≥ (zσ/2 ÷ 2ME)²

Where:

n= Sample

zσ = Z-score

ME = margin of error

Let plug in the formula

n≥ [1.96 / 2(0.05)]²

n≥ [1.96 / 0.1]²

= (19.6)²

= 384.16

=385 (Rounded)

Therefore the correct option is B.

The complete question is:

Netflix would like to estimate the proportion of their current subscribers who would pay extra for a premium membership including access to more movies and TV shows. To do this, they plan to calculate a 95% confidence interval to estimate the proportion. They would like a margin of error of .05. How many subscribers must they sample to obtain this interval?

a) 1537

b) 385

c) 192

d) 10

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The correct option is C when the equal mean, median, and mode of the given data are highlighted by the normal distribution.

Given that,

We have to find the correct option for which of the following statements about the normal distribution is accurate.

The options are

a) It has two modes.

b) It is asymmetrical.

c) There is equality in the mean, median, and mode.

d) At z = -3 and z = 3, the curve's points intersect the x-axis.

We know that,

The most significant continuous probability distribution in probability theory and statistics is the normal distribution, also referred to as the gaussian distribution. On occasion, it is referred to as a bell curve.

The probability distribution of data is expressed mathematically as a normal distribution. It is symmetrical from both ends and has only one mode. The equal mean, median, and mode of the given data are highlighted by the normal distribution.

Therefore, The correct option is C when the equal mean, median, and mode of the given data are highlighted by the normal distribution.

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The given expression can be expressed in the form of factored form as (12x - 20)(12x - 6).

What is a quadratic equation?

A quadratic equation is any equation in algebra that can be rearranged in standard form as ax²+bx+c=0, where x is an unknown value and a, b, and c are known numbers.

It has two solutions.

The given equation is 6(3x−5)5(2x−1).

Then it can be expressed as

      = 6(3x − 5)(10x − 5)

      = (18x − 30)(10x − 5)

      = (180x² − 90x - 300x + 150)

      = 180x² − 390x + 150

  Simplifying we get

      = 60x² - 130x + 50

      = (12x - 20)(12x - 6)

Hence, the given expression can be expressed in the form of factored form as (12x - 20)(12x - 6).

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Answer:

-1/3

Step-by-step explanation:

(2-6)/(13-1)

-4/12

-1/3

4.727273

Step-by-step explanation:

From a principal amount of $13000, the amount compounded at a rate of 3% quarterly over a time period of 5 years is $15,095.39

The compound interest is the interest-based on the initial principal amount and the interest collected over the period of time. The formula for compound interest can be derived from the formula for simple interest. The formula for simple interest is the product of the principal, time period, and rate of interest (SI = ptr/100). Before looking into to derivation of the formula for compound interest, let us understand the basic difference between simple interest, compound interest computation. The principal remains constant over a period of time, for simple internet computation, but for compound interest computation the interest is added to the principal, for compound interest computation.  The compound interest formula is given below:

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

Putting the values in the formula above

A = 13000(1 + 0.03/4)^4 * 5

A = 13000(1.0075)^20

A = $15,095.39

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Answer:

Step-by-step explanation:

its 100%

46 inches big piece of cardboard is needed.

A square box is a three-dimensional object with the shape of a cube.

As per the question,

We know that,

                         V   =   h × w × l         →      1

where,              V  =   volume of the box

                         h  =   height of the box

                        w  =  width of the box

                          l  =   length of the box

Substitute the values V = 6480, h = 5, w = x - 10 and l = x - 10 in 1,

⇒   5 × ( x - 10 ) × ( x - 10 )   =   6480

⇒   5 × ( x² - 10x - 10x + 100 )   =   6480

⇒   5 × ( x² - 20x + 100 )   =   6480

⇒   5x² - 100x + 500   =   6480

⇒   5x² - 100x   =   6480 - 500

⇒   5x² - 100x   =   5980

⇒   5x² - 100x - 5980   =   0

⇒   5 ( x² - 50x - 1196 )   =    0

⇒   x² - 50x - 1196   =    0

By solving the equation x² - 50x - 1196   =    0 we get,

x   =   46   and   -26

⇒  We eliminate x = -26 since it is a negative value

⇒  We consider the positive value x = 46.

Therefore, 46 × 46 inches is the dimensions of the square card box.

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The value b is 8 if m=1 and the line is passing through the point P(-4,4).

The line's equation is expressed in slope-intercept form: y = mx + b, where m represents the slope and b represents the y-intercept. The slope of the line is 3 in our equation, y = 3 x + 5.

Consider the slope-intercept form equation y = 6 x + 9 y=6x+9 y=6x+9. We can find the x and y intercepts. The x-intercept occurs when y = 0, whereas the y-intercept happens when x equals 0. By setting the value of y to zero, we may find the x-intercept.

When an equation is not in the y = mx + b form, we can solve for the intercepts by substituting 0 and solving for the remaining variable.

Let, the slope-intercept form is,

y= mx +b

Given, m=1

And the line passes through the point P(-4,4)

Then,

4=1(-4)+b

b=4+4=8

b=8

Therefore, the value of b is 8

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The total probability rule is used when an an analyst is interested in a)all potential outcomes. So, correct option is a.

Probability is the branch of the mathematics concerning numerical descriptions of how likely an event is going to occur, or how likely it is that a proposition is true. The probability of an event is the number between 0 and 1, where, roughly speaking, 0 indicates that impossibility of the event and 1 indicates certainty. If  probability of an event is higher then, the more likely it is that the event will occur.

Probability can be defined as the proportion  of the number of favorable outcomes to the total number of outcomes of an event..

Hence, option a is correct.

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your total cost will be, excluding tax $2.4

What is a discount off?

A fixed amount off a price means subtracting the fixed amount from the original price. For example, if a service normally costs $95, and you have a $20 off coupon, you would deduct $20 from $95 to get the final price.

We have,

Initial cost per ounce = $0. 30

discount off per ounce = $0. 10

cost of 12 ounces of ice cream =?

so, the new cost per ounce will be,

$0. 30 - $0. 10 = $0. 20

cost of 12 ounces of ice cream = 12 * $0. 20

= $2.4

Hence, your total cost will be, excluding tax $2.4

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The sample mean of the observations is 19.25 and the standard deviation is 2.15

Sample mean is found by adding up all the individual values of the sample, then dividing by the total number of values in the sample.  

Sample standard deviation is the square root of the variance

mean = (23 + 25 + 16 + 20 + 13 + 10 + 28 + 19)/8

mean = 19.25

variance = (x₁ - mean)²/n(n-1)

variance = ((23 - 19.25)² + (25 - 19.25)² + (16 - 19.25)² + (20 - 19.25)² + (13 - 19.25)² + (10 - 19.25)² + (28 - 19.25)² + (19 - 19.25)²)/(8(7))

variance = 259.5/56

variance = 4.63

Standard deviation = √variance = √4.63 = 2.15

Therefore, the sample mean of the observations is 19.25 and the standard deviation is 2.15

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Parameter of interest: Considered Level of significance = 0.01 This is a right-tailed test.

What is z test?

If the data is distributed normally, a z test can be used to determine whether the means of two populations differ from one another. The z test statistic's value must be determined, together with the null hypothesis and alternative hypothesis setups, for this reason. On the z critical value, the decision criterion is based. The distribution graph is divided into acceptance and rejection zones during hypothesis testing by the z critical value. The null hypothesis can be rejected if the test statistic lies inside the rejection region; otherwise, it cannot.

Here the data is normally distributed and using the sample mean.

Parameter of interest :

Let u denote the population means. Considered Level of significance = 0.01 This is a right-tailed test.

Hence, the Considered Level of significance = 0.01 This is a right-tailed test.

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Because the corresponding sections of congruent triangles are congruent, you may use the Vertical Angles Congruence Theorem to demonstrate that ABC DEC. b. CAB CDE.

According to the Angle-Side-Angle Postulate (ASA), two triangles are congruent if two angles and the included side of one triangle are congruent with two angles and the included side of another triangle.

Two postulates that aid in determining if two triangles are congruent are ASA and AAS. While AAS stands for "Angle, Angle, Side," ASA stands for "Angle, Side, Angle." If two figures are the same size and shape, they are said to be congruent. In other words, two congruent figures are actually two separate locations of the same figure.

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Answer:

y=1

Step-by-step explanation:

we can find what w is equal to first

2w=8

/2. /2

w=4

Now we fill in w to find y

4=4y

/4. /4

1=y

Hopes this helps please mark beainliest

Number of degrees of minor arc is 108 degrees.

It is given that a regular pentagon ABCDE, a circle is drawn that is tangent to DC at D and to AB at A.

We need to find the number of degrees in the minor arc AD ie angle AED

A regular pentagon has all sides equal and all angles are equal.

The sum of all the angles of a pentagon is 540 degree

Each angle od a pentagon is 540/5 = 108 degree

Therefore, Number of degrees of minor arc is 108 degrees. or angle AED is 108 degrees.

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The alleles, or genes for a trait, are known as the genotype. A phenotypic ratio represents a relationship between the different physical characteristics and how often they occur. Ratios are typically done in relationship to a single trait among the individuals.

Phenotypic ratio pertains to the relative number of offspring manifesting a particular trait or combination of traits. It can be determined by doing a test cross and identifying the frequency of a trait or trait combinations that will be expressed based on the genotypes of the offspring.

For example: when a tall plant is crossed to a short plant, some of their offspring will be tall while others will be short. To determine the phenotypic ratio, the number of times the phenotypes (either tall or short) are expressed is counted. In this case, the phenotypic ratio shall indicate how many of the offspring will be tall and how many will be short based on the genotype.

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The completed square of the expression is  x² + 15x + 225/4  and the expression as binomial squared is  (x + 15/2)²  .

In the question ,

it is given that ,

the expression s given as x² + 15x + 225/4 ,

we have to complete the expression,

Dividing 15 by 2 , = 15/2

writing 15/2 as a power of 2 , (15/2)² = 225/4

the completed equation is X2 + 15x + 225/4  .

and the binomial squared of the expression is (x + 15/2)²

Therefore , the expression is  x² + 15x + 225/4  and binomial squared is (x + 15/2)²  .

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For equilateral triangles, each side is equal. Hence the ratio between two sides of different triangles will be constant. Hence, all equilateral triangles are similar.

What is the equilateral triangle?

An equilateral triangle is a triangle with all three sides of equal length , corresponding to what could also be known as a "regular" triangle. An equilateral triangle is therefore a special case of an isosceles triangle having not just two, but all three sides equal.

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The sequence of transformations used to transform ABCD to A"B"C"D" is; Trapezoid ABCD ​ was reflected across the y-axis and then translated 7 units up.

From the figure we have the pre image before transformation as Quadrilateral ABCD which is located at the bottom right of the graph.

Trapezoid ABCD and A"B"C"D" are equidistant from the x-axis

Trapezoid ABCD and A"B"C"D" are equidistant from the y-axis

Now, it is clear that Quadrilateral ABCD was first reflected across the y-axis.

Thereafter, when we look at the coordinates of the final transformed quadrilateral, it is clear that the second step of transformation was to translate the image by 7 units upwards.

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The Standard Error of mean is 217.71 .

The critical value , Z꜀= 1.96 < Z , it is then concluded that the null hypothesis is rejected.

Hence, we can say that the the mean earnings of men in the General Social Survey is not representative of the earnings of the entire U.S. male population.

We have given that

A researcher working with the General Social Survey (GSS) on a project focusing on income and health.

Sample size, N = 1500

Sample mean , X-bar =$31,607

male population mean , μ = $33,405

Standard deviations, σ = $8,432

Std. error of mean , S.E = σ /√N

= 8432/√1500

= 217.71

Consider null and alternative hypothesis as

H₀ : μ = 33405

Hₐ : μ not equal to 33,405

Rejection region: Based on information provided the significance level,alpha = 0.05 and the critical value for two tailed test , Z꜀ = 1.96.

The rejection region for two tailed test R is

{ z : |z|> 1.96}.

Test Statistic:

Z- statistic test formula,

Z = (X-bar - u)/std. error

=> Z = ( 31,607 - 33,405)/217.71

=> Z = - 8.259

Decision: Since, it is observed that |z| = 8.259 > Z꜀ = 1.96 , it is concluded that Null hypothesis is rejected .

Conclusion: It is concluded that Null hypothesis H₀ is rejected. So there is sufficient evidence to support the claim that the population mean ,u is different from 33,405 at α = 0.05 significance level.

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.

The correct statements are A, B and E

SOLUTION:

Given, number is

We have to choose the statements that correctly describes the above number.

Now, we know that, a bar on a number represents it is repeating decimal. So let us check options now.

A. It is a repeating decimal.

As the number has it is repeating decimal. So this option is correct.

B. It is a non-terminating decimal.

As the number is repeating, it will not terminate, so this option is correct.

C. It is a non-repeating decimal.

No, it is repeating. So this is wrong statement.

D. It is a terminating decimal.

It is non – terminating, so this is wrong.

E. It is a rational number.

As it is repeating, we can represent it in fraction, so this is correct.

F. It is not a rational number.

It is rational number so, this is wrong option.

Answer:

The answers are

A.

B.

E.

The property that justifies the work between step 3 and step 4 is division of property of inequality (option A)

The division property of inequality states that if you divide one side of an inequality by a number, you can divide the other side of the inequality by the same number.

It can also be stated as if we divide both sides of an inequality by the same number, the inequality remains the same.

At step 3: 2x>10

2 is used to divide both sides

2x/2>10/2

x>5(step 4)

Therefore the property between step 3 and step 4 is division property of inequality.

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Answer:Step 1: Summarise the main idea of each poem in 1-2 sentences. ...

Step 2: Find similarities – thematic, stylistic, structural and formal. ...

Step 3: Find differences from similarities. ...

Step 4: Identify 3 key ideas for comparison.

Step-by-step explanation:

How do you compare two poem structures?

These are some points to think about:

use the introduction to explain which poems you are writing about.

try to balance out the detail you include for each poem.

compare the poems throughout the essay.

comment on content, themes, ideas and attitudes as well as form, structure and language.

How do you compare poems in a level essay?

try to balance out the detail you include for each poem. compare the poems throughout the essay. comment on content, themes, ideas and attitudes as well as form, structure and language. sum up your thoughts on ways in which the poems are similar and different in your conclusion.

There are 256 ways in total and 56 possible outcomes contain exactly three heads. The possible outcomes contain at least three heads is 219.

Consider the provided information.

A coin is flipped eight times where each flip comes up either heads or tails.

Part (a) How many possible outcomes are there in total?

Each time we flip a coin it comes up either heads or tail.

Therefore the total number of ways are: 2⁸ = 256

Hence, there are 256 ways in total.

Part (b) contain exactly three heads?

We want exactly 3 heads, therefore,

n=8 and r=3

According to the definition of combination:

To get exactly 3 heads,

n=8 and r=3

(⁸C₃ ) = 8! / 3!(5!) = 56.

Therefore, there are 256 ways in total and 56 possible outcomes contain exactly three heads. The possible outcomes contain at least three heads is 219.

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The average number of calls per day that can be modeled by a Poisson random variable is denoted by λ is equal to 5.29832.

A Poisson distribution in statistics is a probability distribution that is used to demonstrate how frequently an event is likely to happen over a given period of time.

Let C denotes the number of calls per day.

Given:

On average about 0.5% of the time the call center receives no calls at all.

So, P(C = 0) = 0.5% = 0.005

The formula for Poisson distribution is:

=> e^-λ . λ^x / x!

where x = 0,1,2,3, ....

λ = mean number of occurrences in the interval

e = Euler's constant ≈ 2.71828

=> -λ = ln (0.005)

=> λ = 5.29832

Thus, the average number of calls per day is equal to λ = 5.29832.

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The perimeter of the rhombus LMNO is 48  units

In the rhombus LMNO,

The length of the side LM = The length of the side MN = The length of the side NO = The length of the side ON

Then,

The length of the side LM = 3x - 3

The length of the side MN = x + 7

Both are equal, then the equation will be

3x - 3 = x + 7

Group the like terms

3x - x = 7 + 3

2x = 10

x = 10 /2

x = 5

Substitute the value  in second equation

x + 7 = 5 + 7

= 12 units

The perimeter of the LMNO = 4 × 12

= 48 units

Hence, the perimeter of the rhombus LMNO is 48  units

The complete question is

What is the perimeter of rhombus LMNO ? A) 20 units B) 24 units C) 40 units D) 48 units

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