a certain statistic dˆ is being used to estimate a population parameter d. the expected value of dˆ is not equal to d. what property does dˆ exhibit?a. The sampling distribution of d hat is normal.b. The sampling distribution of d hat is binomial.c. The sampling distribution of d hat is uniform.d. d hat is unbiased.e. d hat is biased.

Answer:

y-intercept: (0,4)

y-intercept in the coordinate form: (0,4)

The equation in slope-intercept form: y=7x+4

Step-by-step explanation:

The slope is rise/run

We see that the y increase by 28 and the x increase by 4, so the slope is 28/4 = 7

m = 7

We know that the y-intercept is at (0,4)

So the slope-intercept equation will be

y = 7x + 4

Answer:

y- intercept = 0.4

y- intercept in the coordinate = 0.4

so the equation is : y=7x+4

The range of the middle 50% of the data of scores on the assessment is 10.

Option A is the correct answer.

The range is the difference between the highest value and the lowest value of a given set of data.

We have,

Median = 80

First quartile = 70

Third quartile = 90

The Middle 50% is from the Median to the First quartile.

Range.

= 80 - 70

= 10

Thus,

The range is 10.

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Answer: D

Step-by-step explanation:

The exact answer is 2.571281591, which is between:

D) 2 and 3

The probability that you flip 'heads' and roll a number less than 5 is 1/3.

The probability of flipping heads is 1/2, and the probability of rolling a number less than 5 is 4/6.

The probability of both occurring is the product of the two probabilities, or 1/2 multiplied by 4/6, which is equal to 1/3.

This means that the probability of flipping heads and rolling a number less than 5 is 1/3.

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A sampling technique that is based on the cumulative effect of information that every additional item in the sample adds as it is inspected is called: sequential sampling.

What is sequential sampling?

Sequential sampling is a non-probability sampling strategy where the researcher selects one or more populations within a time frame, conducts his research, evaluates the findings, and then selects further populations as necessary.

An auditor develops a set of three groups of sampling units, where each successive group contains the same number of units to be sampled. The sampling plan is to continue to the next group of sampling units if the preceding group contains at least one deviation

Simple random sampling, systematic sampling, stratified sampling, and cluster sampling are examples of probability sampling techniques.

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Answer: I could be wrong, but I tried my best.

Slope: 1/2

Y-intercept: (0, 6)

Step-by-step explanation:

The polynomial p(x) = x³ + 8 · x² + x - 42 contains the zeros - 7, 2 and - 3.

Polynomials are algebraic expressions, whose standard form is shown below:

p(x) = Σ cₙ · xⁿ, for n = {0, 1, 2, 3, ..., m}

Where:

And whose factor form is:

p(x) = a · Π (x - rₙ), for n = {1, 2, 3, ..., m}

Where:

In this problem we need to find a polynomial whose zeros are only real and represented by r₁ = - 7, r₂ = 2 and r₃ = - 3, respectively. If we know that a = 1, r₁ = - 7, r₂ = 2 and r₃ = - 3, then the factor form of the polynomial is:

p(x) = 1 · (x + 7) · (x - 2) · (x + 3)

p(x) = (x + 7) · (x - 2) · (x + 3)

p(x) = (x + 7) · (x² + x - 6)

p(x) = x³ + x² - 6 · x + 7 · x² + 7 · x - 42

p(x) = x³ + 8 · x² + x - 42

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Answer:

It seems that you are describing a geometric transformation in which triangle WXY is rotated to form triangle W'X'Y'. The correct statement describing this transformation is: "WXY right-arrow W'X'Y'". In this transformation, the triangle is rotated in some way, resulting in the new triangle W'X'Y'.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

ok i can di it...... ..........

The solution is 28.3 m

The circumference of the circle whose radius is 4.5 m is 28.3 m

What is a Circle?

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The perimeter of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle

Given data ,

Let the circumference of the circle be represented as C

Now , the equation will be

The diameter of the circle = 9 m

The radius of the circle r = d/2 = 4.5 m

And , the circumference of the circle C = 2πr

Substituting the values in the equation , we get

Circumference of the circle C = 2 x 3.142 x 4.5

Circumference of the circle C = 28.278 m

Therefore , the value of C is 28.3 m

Hence , the circumference of the circle is 28.3 m

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Therefore the probability that out of ten randomly selected 30 year old in 1970. at least one did not earn more than his or her parents at age 30  is 0.8448

The study of probabilities involves calculating the possibility that an event will occur or that a proposition is accurate. The probability of an event is a number between 0 and 1, where 0 often represents impossibility and 1 typically represents certainty.

Here,

It is found by reading so it says ten so we multiply 0.8300 10 times by one and one example 0.0830,0 0.8300, 0.8300 ,0.8300..... and so forth or else you will not get the correct answer, there is an easier way to put in the calculator but you figure that out

after we found that we get =

1−0.830010^10

Our response is 0.1552, so since it specifies "at least," we deduct 1.

= 1−0.1552

and our answer is :

= 0.8448

Therefore, the probability that out of ten randomly selected 30 year old in 1970. at least one did not earn more than his or her parents at age 30  is 0.8448

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Answer:

2

Step-by-step explanation:

First distribute the first x into the first parenthesis:  x (2x - 4) = (2x + 1) (x - 2)

x times 2x is [tex]2x^{2}[/tex] and x times -4 is -4x

This changes the equation to: [tex]2x^{2}[/tex]-4x = (2x + 1) (x - 2)

Now multiply the other parentheses: [tex]2x^{2}[/tex]-4x = (2x + 1) (x - 2)

Do this by using the Foil method (I attached a picture of the method if you don't know it)

First: (2x + 1) (x - 2)

Do 2x times x which = [tex]2x^{2}[/tex]

Then 2x times -2 which = -4x

Then 1 times x which = x

Lastly, 1 times -2 which = -2

The order you do this is the order that the foil method says.

Now the equation is:

[tex]2x^{2}[/tex]-4x =[tex]2x^{2}[/tex]-4x+x-2 (I just added all the numbers we just got)
Next cancel out the equal terms. To combine like terms you'd usually move the right [tex]2x^{2}[/tex]  over to the left one and subtract it. But since they are the same number, subtracting it would leave you with 0. So you can just get rid of both.

You can also do this with both -4x

This leaves you with:

0=x-2

Now you move the variable to the left

you also make it negative since it is going to the other side of the =

this leaves: -x=-2

You can't have a negative x so now you have to change the signs for both. Make them both positive.

Now you have x=2

so your answer is 2

Answer:

Step-by-step explanation:

You want values of p, q, r and s such that (2x + 3) (px^3 +qx^2 +rx +s) ≡ 2x^4 +13x^3 +7x^2 +18.

Multiplying out the left side of the equation, we have ...

  2px^4 +(3p+2q)x^3 +(2r +3q)x^2 +(2s +3r)x +3s

When we match coefficients between the two polynomials, this gives rise to 5 equations in the four unknown values:

The first and last equations tell us ...

  p = 2/2 = 1

  s = 18/3 = 6

Using these values in the 2nd and 4th equations makes them be ...

  3 +2q = 13   ⇒   q = 10/2 = 5

  12 +3r = 0   ⇒   r = -12/3 = -4

The values of p, q, r, s are ...

__

Check

We can use the 3rd equation to check these results:

  2r +3q = 7

  2(-4) +3(5) = 7

  -8 +15 = 7 . . . . . . . true

The slope of the line as per the given points will be equal to 7/10.

It is possible to determine a line's direction and steepness by looking at its slope.

Finding the slope between lines inside a coordinate plane can aid in anticipating if the lines are perpendicular, parallel, or none at all without physically using a compass.

As per the given information in the question,

The given points are (25, 24) and (15, 17)

Use the formula to find the slope,

m = (y₂ - y₁)/(x₂ - x₁)

Substitute the values in the above formula,

m = (17 - 24)/(15 - 25)

m = -7/-10

m = 7/10

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Answer:

croissants: 10        pain au chocolat: 12

Step-by-step explanation:

85c + 95p = 2000

c + p = 22

85c + 95p = 2000    

                               -

85c + 85p = 1870

         10p = 120

           p = 12

c + p = 22

c + 12 = 22

c = 10

Answer:

Step-by-step explanation: Let C be the number of croissants and P be the number of pain au chocolat that Didier buys. We know that C + P = 22 and 0.85C + 0.95P = 20.

We can solve this system of equations using substitution. First, we solve the first equation for P: P = 22 - C. Then, we substitute this expression for P into the second equation: 0.85C + 0.95(22 - C) = 20. Expanding the expression inside the parentheses and combining like terms, we get: 0.85C + 21.1 - 0.95C = 20.

Then, we can solve for C by moving all the terms to one side of the equation: -0.1C = -1.1. Dividing both sides by -0.1, we get: C = 11.

Substituting this value for C back into the equation P = 22 - C, we get: P = 22 - 11 = 11.

Therefore, Didier buys 11 croissants and 11 pain au chocolat.

Answer:

A(1,2), B(-1,7) C(-4,8)

Step-by-step explanation:

I think that is the answer.

Answer:

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

According triangle inequality theorem the sum of any two sides of a triangle is greater than the third side.

Apply this to our options, add up the two shortest sides and compare with the longest side.

Step-by-step explanation:

10.

-2 < 6x - 2 < 46

0 < 6x < 48

0 < x < 8

so the line goes (with empty dots because of "<") from 0 to 8.

11.

4 + 9r <= 58 or 7r - 3 >= 46

9r <= 54 or 7r >= 49

r <= 6 or r >= 7

the line goes (with filled dots because of ">=" and "<=") from 6 all the way to the left, and from 7 all the way to the right.

12.

filled dot at -4, empty dot at +3.

connecting line between both dots.

-4 <= x < 3

13.

filled dots at -1 and at +6.

lines going away left and right.

x <= -1 or x >= 6

14.

empty dots at +3 and +4.

lines going away left and right.

x < 3 or x > 4

15.

filled dot at +6, empty dot at +8.

connecting line between both dots.

6 <= x < 8

Answer: 5

Step-by-step explanation:

(5^2) - (4 x 5)

Viktor is in the 60th percentile, which is 85, while the percentile for 71 is 26.666.

Percentile is defined as the value below which a given percentage falls under. Ben, for instance, is the fourth tallest child in a group of 20, and eighty percent of the kids are shorter than you. As a result, Ben is in the 80th percentile.

We have the data

Sort the data as follows: 58, 64, 66, 70, 71, 75, 77, 80, 84, 85, 87, 90, 93, 95, 96

employing the percentile formula,

Percentile is calculated as follows: 71 Percentile

(4 / 15)*100 Percentile

26.666 Percentile = (Number of Values Below "x" / Total Number of Values) 100

Consequently, 71's percentile is equal to 26.666.

Identifying the rank

Thus, the ranking is 0.6.

To find the rank for viktor

Find the percentile using the formula,

Percentile = Rank × Total number of the data set

Percentile = 0.6 × 15

Percentile = 9

Now, counting 9 values from left to right we reach 85, and we can say that all the values below 85 will come under the 60th percentile. In other words, 60% of the values are below 85.

The 60th percentile is 85

Thus viktor is in 60th percentile is 85

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The formula for R(N) for the function f(x) = (5x)2 on [1, 5] in terms of N is R(N) = [tex]100+400\times\frac{(N+1)}{N^2}+\frac{800}{3}\times\frac{(N+1)(2N+1)}{N^3}[/tex] and area is 767(approx).

In the given question, we have to find a formula for R(N) for the function f(x) = (5x)^2 on [1, 5] in terms of N.

The given function is f(x) = (5x)^2 on [1, 5].

∆x = (5-1)/N

∆x = 4/N

X = 1+i∆x

X = 1+i4/N

f(x) = 25X^2

f(x) = 25(1+i4/N)^2

f(x) = 25(1+i8/N+16/N^2 i^{2})

R(N) = [tex]\sum_{i=1}^{N}f(X)\Delta x[/tex]

Now putting the value of f(x) and ∆x

R(N) = [tex]\sum_{i=1}^{N}\frac{4}{N}\left[25\left(1+\frac{8}{N}i+\frac{16}{N^2}i^{2}\right)\right][/tex]

R(N) = [tex]\frac{100}{N}\sum_{i=1}^{N}\left(1+\frac{8}{N}i+\frac{16}{N^2}i^{2}\right)[/tex]

R(N) = [tex]\frac{100}{N}\left(\sum_{i=1}^{N}1+\sum_{i=1}^{N}\frac{8}{N}i+\sum_{i=1}^{N}\frac{16}{N^2}i^{2}\right)[/tex]

R(N) = [tex]\frac{100}{N}\left(N+\frac{8}{N^2}\sum_{i=1}^{N}i+\frac{16}{N^3}\sum_{i=1}^{N}i^{2}\right)[/tex]

R(N) = [tex]\frac{100}{N}\left(N+\frac{8}{N^2}\frac{N(N+1)}{2}+\frac{16}{N^3}\frac{N(N+1)(2N+1)}{6}\right)[/tex]

R(N) = [tex]\frac{100}{N}\times N+\frac{100}{N}\times\frac{8}{N^2}\times\frac{N(N+1)}{2}+\frac{100}{N}\times\frac{16}{N^3}\times\frac{N(N+1)(2N+1)}{6}[/tex]

R(N) = [tex]100+400\times\frac{(N+1)}{N^2}+\frac{800}{3}\times\frac{(N+1)(2N+1)}{N^3}[/tex]

Now finding the area

[tex]\text{lim}_{N\rightarrow \infty}[/tex]R(N) = [tex]\text{lim}_{N\rightarrow \infty}\left[100+400\times\frac{(N+1)}{N^2}+\frac{800}{3}\times\frac{(N+1)(2N+1)}{N^3}\right][/tex]

[tex]\text{lim}_{N\rightarrow \infty}[/tex]R(N) = 100 + 400 + 800/3

[tex]\text{lim}_{N\rightarrow \infty}[/tex]R(N) = 766.67

[tex]\text{lim}_{N\rightarrow \infty}[/tex]R(N) = 767(approx)

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risk involved with the investment. Higher potential returns often come with a higher level of risk, as the investor is taking on the possibility of losing some or all of their investment in exchange for the chance to earn a higher return. It's important for investors to carefully consider the level of risk they are comfortable with and to do their due diligence before making any investment decisions. This may include researching the company or investment, reviewing financial statements, and consulting with financial professionals. Investors should also consider the potential tax implications of any investment, as well as how it fits into their overall financial plan.

The probability that detector B goes off is 0.75

In this question we have been given the security system in a house has two units that set off an alarm when motion is detected.

Here, the probability that detector A will not go off is 0.35

And the probability that A will go off and B will not go off is 0.25

We need to find the probability that B goes off

The probability that detector A will go off would be,

1 - P( detector A will not go off )

= 1 - 0.35

= 0.65

And the probability that both A and B will go off would be,

= P(A will go off) - P( A will go off and B will not go)

= 0.65 - 0.25

= 0.40

Now we find the required probability.

P(B goes off) = P(both A and B will go off) + P(detector A will not go off)

                     = 0.40 + 0.35

                     = 0.75

Therefore, the required probability is 0.75

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Answer:

4

Step-by-step explanation:

x + 8 = 12

Subtract 8 from both sides :

x = 12 - 8

x = 4

Hope this helped and have a good day

Answer:

[D] $ 24,250

Step-by-step explanation:

$24,250 dollar will I have after three years.

The volume of the solid cone obtained by rotating the region bounded by the line y=12x, y=0, and x=4 about the x-axis is 38603.89 [tex]unit^{3}[/tex]

We will calculate the volume in the following way,

Given lines are: x=4, y=0, y=12x

First, we make a triangle from the given equation and then rotate it along the x-axis to get the dimensions of the cone.

We, need to put x=4 and y=0 in y=12x to get all the vertices of the triangle.

Points are: (0, 0), (4, 0), and (4, 48).

Now, we rotate this triangle about the x-axis.

Thus, the radius of the cone(r)= 48 and the height of the cone(h)= 4.

Therefore, the formula for the volume of the cone (v)= [tex]\frac{4}{3}*(\pi *r^{2}*h )[/tex]

=[tex]\frac{4}{3} \pi*48^{2}*4[/tex]

=38603.89 [tex]units^3[/tex]

Therefore the volume obtained is 38603.89 [tex]unit^{3}[/tex]

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The domain and range of the function shown on the graph are (a) Domain is x ≥ 0, and range is y ≥ 0

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

The graph

On the graph, we can see that the line is a straight line

This means that the graph is a linear function

However, the function only covers the positive axes

This means that

Domain is x ≥ 0, and range is y ≥ 0

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Probability that any one of three outcomes will occur: P(A, B, C), plus P(A, B, C'), plus P(A, B', C);

What is the probability that 3 people have different birthdays?

Since there are 363 days still “unused” out of 365, we have p = 363÷365 = about 0.9945. Multiply that by the 0.9973 for two people and you have about 0.9918, the probability that three randomly selected people will have different birthdays.

Poisson Way. The probability of same-birthdays triplet is 1 / (365 * 365), which is very small, and there are C(n, 3) triplets, which is a big number for the moderately high values of n (~>20).

Calculating the likelihood of three events

Probability that at least one of the three events occurs: Probability that each of the three occurrences will occur: P(A, B, C);

Probability that any one of three outcomes will occur: P(A, B, C), plus P(A, B, C'), plus P(A, B', C);

P() is the likelihood that none of the events will occur.

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Answer:

Step-by-step explanation:

Let y be the altitude and x the distance the plane travels from the point of the 35600 ft altitude location (x=0 at that point)

y = 35600 - 3200x

It would be nice to use time instad of distance, but there is no speed of the plane give.  It's altitude is espressed only on the basis of miles traveled.  If the elevation change were given in feet per minute, or some other unit of time, we can write an equation with time as the x variable.

This equations says:

1)  the plane starts at 35,600 ft (since x = 0, the result is 35,600 feet).

2) it descends 2,300 ft for every mile traveled from x = 0.

The unit rate of change is 3200 feet/mile.

The graph is attached.

Answer:

x = 90 Tan 50

107.1

Step-by-step explanation:

Adjacent = 90

Height of the tree(opposite) = x

so what connects adjacent and opposite is TOA

Tanθ = opposite /Adjacent

Tan 50° = x/90

cross multiply

x = 90 Tan 50°

x = 90 × 1.19

x = 107.1m

:- the height of the tree is 107.1m

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