The product of 1/2 and 2/15 is a/an ________________.

No, the estimator ên = Y1 + Y2 + Y3 is not a sufficient estimator of p.

To determine if the estimator ên = Y1 + Y2 + Y3 is a sufficient estimator of p, we need to verify if the conditional distribution of the sample given the estimator does not depend on the parameter p.

The probability mass function (PMF) of the sample is given by:

P(Y1 = y1, Y2 = y2, Y3 = y3) = p^(y1+y2+y3)(1-p)^(3-(y1+y2+y3))

Now, let's consider the conditional distribution of the sample given the estimator ên:

P(Y1 = y1, Y2 = y2, Y3 = y3 | ên = c) = P(Y1 = y1, Y2 = y2, Y3 = y3 | Y1 + Y2 + Y3 = c)

To calculate this conditional probability, we can use the fact that the sum of the three random variables Y1, Y2, and Y3 follows a binomial distribution with parameters n = 3 and p.

The PMF of the sum Y1 + Y2 + Y3 is given by:

P(Y1 + Y2 + Y3 = c) = C(3, c)p^c(1-p)^(3-c)

Since the conditional distribution of the sample given the estimator depends on the parameter p, the estimator ên = Y1 + Y2 + Y3 is not a sufficient estimator of p.

In conclusion, based on Definition 9.3, the estimator ên = Y1 + Y2 + Y3 is not a sufficient estimator of p because the conditional distribution of the sample given the estimator depends on the parameter p.

To learn more about sufficient estimator refer here:

https://brainly.com/question/28044143

#SPJ11

The radius of the hoop is 8 inches.

We have,

The circumference of a circle is given by the formula C = 2πr

Where C is the circumference and r is the radius.

Rearranging the formula.

r = C / (2π)

Substituting the given value for the circumference of the hoop.

r = 50.24 in / (2 × 3.14)

r = 8 in (rounded to the nearest whole number)

Therefore,

The radius of the hoop is 8 inches.

Learn more about Circle here:

https://brainly.com/question/11833983

#SPJ1

For the first question, the answer is option C) 172.  On day 1, Joe remembered all 200 words. On day 2, he remembered 10% fewer words than he did on day 1. This means he remembered 90% of the words he memorized on day 1.

90% of 200 is (90/100) x 200 = 180 words.
On day 3, Joe remembered 10% fewer words than he did on day 2. This means he remembered 90% of the words he memorized on day 2.
90% of 180 is (90/100) x 180 = 162 words.

Therefore, Joe remembered 162 words on day 3. So, the answer is option B.
For the second question, we don't have the given equation for the circle. Without the equation, we can't determine the length of the radius. So, we can't provide a long answer or a main answer.

To know more about equation visit:

https://brainly.com/question/649785

#SPJ11

Answer:

Step-by-step explanation:

the value of X is 1

Answer:

bottem left

Step-by-step explanation:

Answer:

..............

Step-by-step explanation:

answer is upper right

Answer:

56 miles

Step-by-step explanation:

8.75 ÷ 2.5

= 3.5

16 × 3.5

= 56

the cities are 56 miles apart

Answer:

Angle g = 90°

Angle between x and G = 30°

Angle x= 180-(90+30)

= 180-120=60°

The area of a circle is area = pi x r^2

The full area = 3.14 x 20^2 = 1256 square feet.

The corner forms a 90 degree angle so the dirt area is 3/4 of a full circle.

Answer = 1256 x 3/4 = 942 square feet

Answer:

Step-by-step explanation:

942 SQUARE FEET

Answer:

0.75

Step-by-step explanation:

because 9/12 is 0.75

Let's establish what this rate indicates through an equation:

inches burned

       hour

Now, plug in the information you have:

inches burned      =          9

       hour                          12

9/12 = 0.75

0.75 inches of the candle is burned per hour

Answer:

the answer to that would be 0.

Step-by-step explanation:

In a Taylor series, the polynomial t3(x) represents the third degree Taylor polynomial of a function. It is an approximation of the function near a specific point, obtained by taking the first three terms of the Taylor series expansion.

The polynomial t3(x) is given by t3(x) = f(a) + f'(a)(x-a) + (f''(a)/2!)(x-a)^2 + (f'''(a)/3!)(x-a)^3, where f(a) is the value of the function at the point a, f'(a) is its first derivative, f''(a) is its second derivative, and f'''(a) is its third derivative.

In the context of Taylor series, polynomial T3(x) refers to the third-degree Taylor polynomial. It is an approximation of a given function using the first four terms of the Taylor series expansion. The general formula for the Taylor series is:

f(x) ≈ f(a) + f'(a)(x-a) + f''(a)(x-a)^2/2! + f'''(a)(x-a)^3/3! + ...

For T3(x), you'll consider the first four terms of the series:

T3(x) = f(a) + f'(a)(x-a) + f''(a)(x-a)^2/2! + f'''(a)(x-a)^3/3!

Here, f(a) represents the function value at the point 'a', and f'(a), f''(a), and f'''(a) represent the first, second, and third derivatives of the function evaluated at 'a', respectively. The T3(x) polynomial approximates the given function in the vicinity of the point 'a' up to the third degree.

Learn more about polynomial at: brainly.com/question/11536910

#SPJ11

Answer:

$720

Step-by-step explanation:

$60 for 1 hour

$ ? for 12 hours

For 12 hours will have $60 twelve time.

? = 12x60 = $720

Incomplete Question:

The content of the pie chart is as follows:

Hamsters  = 9% ; Snakes  = 10% ; Cats  = 23%

Birds  = 21% ;  Dogs  = 26% ;  Fish  = 11%

Answer:

The number of citizens who chose cat or fish is 47,600

Step-by-step explanation:

Given

Number of citizens = 140,000

Required

Determine the number of those that chose fish or cats

First, we need to calculate the percentage of those whose pets are either cats or fish

\(Percentage = Cat + Fish\)

Substitute 23% for cat and 11% for fish

\(Percentage = 23\% + 11\%\)

\(Percentage = 34\%\)

Next, is to multiply the calculated percentage by the number of citizens

\(Cat\ or\ Fish = Percentage * Number\ of\ Citizens\)

\(Cat\ or\ Fish = 34\% * 140000\)

\(Cat\ or\ fish = 47600\)

Hence, the number of citizens who chose cat or fish is 47,600

the number of citizens who chose cat or fish is 47,600

= Number of citizens × total percentage

\(= 140,000 \times (23\% + 11\%)\\\\= 140,000 \times 34\%\)

= 47,600

Learn more: https://brainly.com/question/17429689?referrer=searchResults

To evaluate this triple integral, we need to set up the bounds for each variable. Since the solid tetrahedron is defined by the vertices (0,0,0), (2,0,0), (0,2,0), and (0,0,2), we know that:


∫(from 0 to 2) ∫(from 0 to 2-x) ∫(from 0 to 2-x-y) y^2 dz dy dx

Now, integrate with respect to z:

= ∫(from 0 to 2) ∫(from 0 to 2-x) y^2(2-x-y) dy dx

Next,  with respect to y:

= ∫(from 0 to 2) [-y^3/3 + xy^2 - y^2x/2] (from 0 to 2-x) dx

= ∫(from 0 to 2) [-8x^3/3 + 4x^4/3] dx

Finally, integrate with respect to x:

= [-2x^4/3 + x^5/3] (from 0 to 2)

= [-16/3 + 32/3] - 0

= 16/3

So, the triple integral evaluates to 16/3.

Learn more about variable here : brainly.com/question/17344045

#SPJ11

Answer:

Angle Side Angle, aka ASA. The triangle LAP is congruent to triangle TAX

Step-by-step explanation:

Angle P and x are congruent, side AX and AP are congruent, and angle LAP and angle TAX are congruent because vertical angles are congruent.

#teamtrees #WAP (Water And Plant)

A mathematical function called probability distribution expresses the possibility of various outcomes or occurrences happening under a specific set of conditions.

An open interval of values (0, 1) and a geometric sequence with the general term a = are provided to us in this problem. A probability distribution on the set Z+ (the set of positive integers) is also provided to us, with the condition that the chance of selecting n is equal to a = /(1 - r).

Making sure that the total probability over all feasible values of n is equal to 1 is necessary in order to examine this probability distribution. Let's check this out:

Sum of probabilities = ∑(an) for n = 1 to infinity

= ∑(µ/(1 - r)) for n = 1 to infinity

= µ/(1 - r) * ∑(1) for n = 1 to infinity

= µ/(1 - r) * infinity

Since r is in the open interval (0, 1), (1 - r) > 0, and when multiplied by infinity, it approaches infinity. Therefore, the sum of probabilities is infinity. This means that the given probability distribution does not satisfy the condition for a valid probability distribution, where the sum of probabilities should be equal to 1.

Hence, the probability distribution described in the problem is not well-defined.

To know more about Probability Distribution visit:

https://brainly.com/question/29062095

#SPJ11

Another term for roots or x intercept is zeroes.

In algebra, a quadratic equation is any equation that can be rearranged in standard form ax^2+bx+c, where x represents an unknown value, and a, b, and c represent known numbers, where a ≠ 0. (If a = 0 and b ≠ 0 then the equation is linear, not quadratic.)

The numbers a, b, and c are the coefficients of the equation and may be distinguished by respectively calling them, the quadratic coefficient, the linear coefficient and the constant coefficient or free term.

Roots are also called x-intercepts or zeros. A quadratic function is graphically represented by a parabola with vertex located at the origin, below the x-axis, or above the x-axis. Therefore, a quadratic function may have one, two, or zero roots.

Hence , another term for roots or x intercept is zeroes.

To learn more about roots  visit
https://brainly.com/question/16932611

#SPJ4

Answer:

Sugar cookie dough packages cost 14 dollars each, and oatmeal cookie dough packages cost 16 dollars each.

Step-by-step explanation:

Let s equal the cost of a sugar cookie dough package, and o equal the cost of oatmeal cookie dough packages.

6s + 2o = 116

9s+12o = 318

therefore,

18s+6o = 348

18s+24o = 636

Subtracting them, we get -18o = -288, or 18o = 288

Therefore, o = 16, and 6s+32=116, so 6s=84, so s = 14

Everything is correct except for option (a). That is PR = 3x is wrong while others are right.

An isosceles triangle is a type of triangle that has two sides of equal length. This means that two of the three sides of the triangle are congruent. The angles opposite the congruent sides are also congruent.

Given an isosceles triangle with the following properties:

PQ = x + 0.1

PR = 3x - 0.4

RQ = x + 1.4

But

PR = RQ (equal sides of isosceles triangle)

with this fact, we can calculate the value of x

Recall that:

PR = RQ

3x - 0.4 = x + 1.4

3x - x = 1.4 + 0.4

2x = 1.8

x = 0.9

Knowing the value of x now, we can substitute to the above equations:

Recall:

PQ = x + 0.1

     = 0.9 + 0.1

PQ = 1.0

RQ =  x + 1.4

     = 0.9 + 1.4

     = 2.3

Learn more about isosceles triangle here:

https://brainly.com/question/29793403

#SPJ1

Total 13,608,000 has length of eight are there containing exactly six distinct characters.

Total number of string = 10

The length of the string should be = 8

The distinct characters = 6

So the same character should be = 2

There are total 10 numbers in which 6 are distinct, so

\(^{10}P_{6}=\frac{10!}{(10-6)!}\)

\(^{10}P_{6}=\frac{10!}{4!}\)

\(^{10}P_{6}\) = 3,628,800/24

\(^{10}P_{6}\) = 151,200

Hence, strings of length eight are there containing exactly six distinct characters = 151,200 × 10 × 9

Strings of length eight are there containing exactly six distinct characters = 13,608,000

To learn more about combination link is here

brainly.com/question/13242854

#SPJ4

Equation of the line  that passes through the midpoint and is perpendicular to PQ is 2x - y +1 = 0.

One way to describe a perpendicular bisector is as a line segment that cuts through another line segment at a 90 degree angle. Simply said, a perpendicular bisector separates a line segment into two equal halves by intersecting it at a 90° angle. Measuring a line segment that needs to be bisected will help you discover a perpendicular bisector.

The midway of the measured length can then be determined by dividing it by two. From this center, extend a line at a 90-degree angle. All you need to do to determine the perpendicular bisector of two points is to discover their midpoint and negative reciprocal, then enter these results into the slope-intercept form of the equation for a line.

Here points are P( -4 ,3 ) and Q ( 4,-1)

Mid -point of PQ :

\(=(\frac{x_{1} +x_{2} }{2} , \frac{y_{1} +y_{2} }{2} )\\\\=(\frac{-4+4}{2} ,\frac{3-1}{2} )\\\\=(0,1)\\\)

Slope of PQ:

\(m = \frac{y_{2}{-y_{1} } }{x_{2}{-x_{1} }} \\\\m =\frac{-1-3}{4+4}\\\\ m= \frac{-4}{8} \\\\m = \frac{-1}{2}\)

The slope of the line is Perpendicular to PQ

so, slope 2= -1/m

slope 2 = -1/(-1/2)

slope 2 = 2

Equation of the line  that passes through the midpoint and is perpendicular to PQ

\(y-y_{1} =m(x-x_{1}) \\y-1 =2(x-0}) \\\\y-1=2x\\\)

2x - y +1 = 0.

Learn more about perpendicular bisector visit: brainly.com/question/1761937

#SPJ4

Correct Question:

Find the midpoint of PQ with endpoints P (-4, 3) and Q (4,-1) . Then write an equation of the line that passes through the midpoint and is perpendicular to PQ. This line is called the perpendicular bisector.

Well I can't be for sure but I know for a fact its not set IV it's not possible to make a triangle out of all right angles. Set II, well, that isn't right either. You can't make a triangle out of all obtuse angles. Like the right angle one, its not possible you can only use one obtuse or right angle in a triangle other wise it's not going to be a triangle. I'd say go try Set III since that would most likely make an equilateral triangle.

Answer:

Total commission= $377.75

Step-by-step explanation:

Giving the following information:

She earns a 12 percent commission on her first $350 worth of sales, 25 percent on the next $650 in sales, and 35 percent on all sales exceeding $1,000.

First, we need to determine the total commission formula:

Total comission= x*0.12 + y*0.25 + w*0.35

x= sales up to $350

y= sales from $351 up to $1,000

w= sales from $1,001 to infinity

Now, for $1,495

Total commission= 350*0.12 + 650*0.25 + 495*0.35

Total commission= $377.75

Function is

Put 84.00$

\(\\ \tt\hookrightarrow 84.00+0.1(84.00)\)

\(\\ \tt\hookrightarrow 84.00+8.4\)

\(\\ \tt\hookrightarrow 92.4\)

The allowance time, if the standard time is 234.15 minutes and the basic time is 233.4 minutes is 0.75 minute

To calculate the allowance time, we can use the following formula:

Allowance time = Standard time - Basic time

Thus, Allowance time = 234.15 minutes - 233.4 minute = 0.75 minutes

Therefore, the allowance time is 0.75 minutes.

Learn more about allowance time, here:

https://brainly.com/question/30011892

Answer:

use 3.14 to solve all of your answers so do 3.14 times one of those numbers and you will get your answers

Step-by-step explanation:

Answer:

hope this helps :)

Step-by-step explanation:

Your answer is option b)

The time at which a star rises shifts approximately 4 minutes earlier each day, due to Earth's orbit around the Sun. Since there are roughly 30 days in a month, we can calculate the change in the rise time of Aldebaran over the course of a month.

Step 1: Calculate the time change over one month
30 days * 4 minutes per day = 120 minutes

Step 2: Convert minutes to hours
120 minutes ÷ 60 minutes per hour = 2 hours

Step 3: Subtract the time change from the current rise time
2:00 am - 2 hours = 12:00 am (midnight)

Therefore, you can expect Aldebaran to rise next month at midnight. The correct answer is b) midnight.

Learn more about Aldebaran from : brainly.com/question/26969989

#SPJ11

Equation is 4x-1 =27. that means the correct answer is 27

The equals sign is used in mathematical formulas to show that two expressions are equal. In contrast to English, where an equation is defined as any well-formed formula that consists of two expressions joined by the equals sign, French defines an equation as containing one or more variables. The first stage in resolving a variable equation is determining the values of the variables that lead to equality.

Here, 4x-1 =27
We know that x=7
4x=27+1
4x= 28
Therefore x = 28÷4 = 7.
Hence, 4x-1 =27

To learn more about Equation
https://brainly.com/question/2972832
#SPJ10

The geometric mean return of the given data set is 0.02.

The geometric mean return measures the compound rate of return over a period of time. It is calculated by taking the product of all the returns and then taking the nth root of the product, where n is the number of returns.

Formula: GMR = ((1+r1)(1+r2)…(1+rn))^1/n – 1

In this case, the data set is as follows:

r1 = 0.05

r2 = 0.03

r3 = -0.02

Using the formula above, the geometric mean return is calculated as:

GMR = ((1+0.05)(1+0.03)(1-0.02))^1/3 - 1

GMR = ((1.05)(1.03)(0.98))^1/3 - 1

GMR = (1.1394)^1/3 - 1

GMR = 0.0204

Therefore, the geometric mean return of the given data set is 0.02.

Learn more about geometric mean here:

https://brainly.com/question/29199001

#SPJ4