brendands dog has a mass of 25700 grams. What is the dogs mass in kilograms

Answer:

Step-by-step explanation:

Let the total number of students in the band be x:

If 15 students make up 12% of the band, this is expressed as:

12% of x = 15

12/100 * x = 15

12x/100 = 15

12/100 = 15/x

cross multiply

12 * x = 15 * 100

12x = 1500

x = 1500/12

x = 125

Hence the total number of student in the band is 125 students

Comparing the evaluated expression 12/100 = 15/x with 12/100 =?/15 according to my friend, he used x/15 at the right hand side of the equation instead of 15/x as used in the calculation. That was where he made an error.

Answer and Step-by-step explanation:

1. square and 20 ft because each side is 5 ft and 5+5+5+5=20

2. triangle and 25 ft because 12+5+8=25 ft

3. trapezoid but Im not sure what the side lengths are for that one so i dont know what the perimeter is

4. Parallelagram and the same as what happened with number three

5. hexagon and 8+8+8+8+8+8= 48 ft

E(X) = 1.88.  E(X^2) = 11.12. E((3X + 2)^2) = 126.64. To find E(X) and E(X^2), we will use the provided probability distribution for the random variable X.

E(X) is the expected value of X and can be calculated by multiplying each value of X by its corresponding probability and summing them up. Let's perform this calculation:

E(X) = (-2 * 0.18) + (4 * 0.38) + (6 * 0.12)

= -0.36 + 1.52 + 0.72

= 1.88

Therefore, E(X) = 1.88.

E(X^2) is the expected value of X^2 and can be calculated by multiplying each value of X squared by its corresponding probability and summing them up. Let's perform this calculation:

E(X^2) = ((-2)^2 * 0.18) + (4^2 * 0.38) + (6^2 * 0.12)

= (4 * 0.18) + (16 * 0.38) + (36 * 0.12)

= 0.72 + 6.08 + 4.32

= 11.12

Therefore, E(X^2) = 11.12.

Now, let's evaluate E((3X + 2)^2) using the values of E(X) and E(X^2) obtained in the previous step.

E((3X + 2)^2) = E(9X^2 + 12X + 4)

= 9E(X^2) + 12E(X) + 4

Substituting the values of E(X^2) = 11.12 and E(X) = 1.88:

E((3X + 2)^2) = 9 * 11.12 + 12 * 1.88 + 4

= 100.08 + 22.56 + 4

= 126.64

Therefore, E((3X + 2)^2) = 126.64.

Please note that the final answer is subject to the accuracy of the provided probability distribution and the calculations performed.

To learn more about probability distribution click here:

brainly.com/question/29062095

#SPJ11

Incomplete Question:

Let X be a random variable with the probability distribution below. Find

E(X)

and

EX2

and​ then, using these​ values, evaluate

E(3X+2)2.

x

−2

4

6

f(x)

18

38

12

Find E(X).

E(X)=

​(Simplify your​ answer.)

Find EX2.

EX2=

​(Simplify your​ answer.)

Evaluate

E(3X+2)2.

E(3X+2)2=

​(Simplify your​ answer.)

please make sure answer is correct and answer quickly.

The area of the base of the first sandbox is 64 square feet

Area is the measure of the amount of surface that a two-dimensional figure or shape covers. It is typically expressed in square units, such as square inches or square meters.

The area of a shape can be calculated by multiplying the length of its base by its height or by using specific area formulas for different shapes, such as the area of a circle or the area of a triangle.

The area of a square is given by the formula: A = s², where s is the length of one side of the square.

In this case, the sandbox has a square base with a side length of 8 feet. Therefore, the area of the base of the first sandbox is:

A = 8² = 64 square feet.

So, the area of the base of the first sandbox is 64 square feet

To know more about an area follow

https://brainly.com/question/29204021

#SPJ2

Answer:

see below

Step-by-step explanation:

-(5)² = -1 * 5² = -1 * 25 = -25

List ascending order:

  -5.3 x 10² = -5.3 x 100 = -530

  -50

  \(\frac{1}{2} = 0.5\)

  \(\sqrt{25} = 5\)

  {-5.3 x 10², -50, \(\frac{1}{2}\), \(\sqrt{25}\)}

Describe \(\sqrt{8}\): Real, Irrational

List descending order:

  \(\sqrt{72} = 8.485\)

  6

  \(\pi = 3.14159\)

  \(-\frac{3}{4} = -0.75\)

  {\(\sqrt{72}\), 6, \(\pi\), \(-\frac{3}{4}\) }

George loan:

  Principal * rate * time = Interest

  2000 * .034 * 2 = 136

  Principal + Interest = Payback

  2000 + 136 = $2,136

Toy:

  100% - 15% = 85%

  .85 * 4.99 = $4.24

A Linear and Quadratic pair of  parent functions are inverses of each other on the domain x > 0.

In mathematics, a parent function is a basic representation of a function type without manipulations such as translation and dilation. For linear and quadratic functions, the graph of any function can be obtained from the graph of the parent function by simply shifting and stretching parallel to the axes. Function is defined as the set of all input values have at least one output value.

According to the question,

a. A pair of linear functions :

let the function be y = x.

Domain : (-∞ , ∞) set of all real numbers

Range : (-∞ , ∞) set of all real numbers

Inverse of linear function is linear domain and range set of all real numbers.

Option A is the correct answer.

b. A cubic function and a cube root function :

Let y = x³

Domain: (-∞ , ∞) set of all real numbers

Range : (-∞ , ∞) set of all real numbers

Inverse function  , x = ∛y ,

Domain: (-∞ , ∞) set of all real numbers

Range : (-∞ , ∞) set of all real numbers

Option B is not a correct answer.

c. a quadratic function and a square root function :

Domain of square root function: y = √x is [ 0, ∞)

Range of square root function: y = √x is [ 0, ∞)

Domain of quadratic function is (-∞ , ∞) set of all real numbers.

Range : all possible values of y.

Option C is not a correct answer.

D. A logarithmic function and an exponential function :

Domain : ( 0, ∞)

Range : set of all real numbers

Exponential function:

Domain : set of all real numbers

Range : ( 0, ∞)

Option D is not a correct answer.

Learn more about Domain:

https://brainly.com/question/28135761

#SPJ4

SAS postulate is the postulate that proves the given triangles are congruent.

What is Triangle ?

Triangles are three-sided polygons with three vertices. The angles of the triangle are formed by connecting the three sides end to end at a point. The sum of the triangle's three angles equals 180 degrees.

Given,

A cube with congruent square faces.

Step 1: Create a labelled diagram by outlining the triangles and.

The diagram illustrating the triangles ΔABF and ΔBCG

See the attachment

Step 2 - Step description.

As an example, a cube has faces that are congruent squares.

Therefore, AB = BC = BF= CG and ΔABF = ΔBCG =90°

That implies,  AB ≅ BC ≅ BF≅CG and ΔABF ≅ ΔBCG =90°

Step 3 - Description of step.

In the triangles ΔABF and ΔBCG, it can be seen that AB = BC , ΔABF =ΔBCG = 90° and BF=CG

Using the SAS postulate, the triangles ΔABF and ΔBCG are thus congruent triangles.

SAS postulate is the postulate that proves the given triangles are congruent

To learn more about Triangle visit:

brainly.com/question/29083884

#SPJ4

Answer:

simplified

Step-by-step explanation:

Answer: 1 -- that is, if they share no common factors other than 1

Step-by-step explanation:

The example that illustrates the difference between statistical significance and practial significance is

In a survey arranged by school-authority of a district on participation in sports by school-going boys and girls, it is found that 60% of boys and 57% of girls participate in outdoor sports. Thus the survey shows a 3% difference between school-going boy-participants and girl-participants in outdoor sports. Now the point is how much significance this 3% difference has statistically as well as practically. Statistical significance of this 3% depends upon the size of data used in determining the percentage of boys and girls participate in sports. If a sufficiently big sample size is used then the difference is statistically significant, and if a very small sample size is used then the difference is statistically insignificant. Thus bigger the sample size more is the statistical significance of a computed figure.

On the other hand practical significance of this 3% difference arises if decision is made or action is taken or needs to be taken on the basis of this 3% difference. If cost permits, the authority may consider promoting girl students participation in sports in order to bring about more gender parity in outdoor sports. In this case the 3% difference though small, may be practically significant.

Statistical significance is a measure of whether your research findings are meaningful. It is concerned with whether a research result is due to chance or sampling variability. Where, practical significance is concerened with wheteher the result is useful in the real world.

Therefore, the example that illustrates the difference between statistical significance and practial significance is

In a survey arranged by school-authority of a district on participation in sports by school-going boys and girls, it is found that 60% of boys and 57% of girls participate in outdoor sports. Thus the survey shows a 3% difference between school-going boy-participants and girl-participants in outdoor sports. Now the point is how much significance this 3% difference has statistically as well as practically. Statistical significance of this 3% depends upon the size of data used in determining the percentage of boys and girls participate in sports. If a sufficiently big sample size is used then the difference is statistically significant, and if a very small sample size is used then the difference is statistically insignificant. Thus bigger the sample size more is the statistical significance of a computed figure.

On the other hand practical significance of this 3% difference arises if decision is made or action is taken or needs to be taken on the basis of this 3% difference. If cost permits, the authority may consider promoting girl students participation in sports in order to bring about more gender parity in outdoor sports. In this case the 3% difference though small, may be practically significant.

Find out more information about statistical significance and practical signifincance here:

https://brainly.com/question/8362659

#SPJ4

Answer:

50k-14

Step-by-step explanation:

this is middle school level work, I had 117% in algebra 2 last year

\(y > 2x + 1 \\ 3 > 2(1) + 1 \\ 3 > 3 \\ false\)

\(y < - 3x \\ 3 < - 3(1) \\3 < - 3 \\ also \: false\)

Answer:

Step-by-step explanation:

The total revenue from ticket sales is:

300 x £5 = £1500

The profit is the revenue minus the cost of the prize:

Profit = £1500 - £400 = £1100

Charity A receives 55% of the profit:

55% of £1100 = £605

Charity B receives 45% of the profit:

45% of £1100 = £495

Therefore, Charity A receives £605 and Charity B receives £495.

The answer is option (C), that is, the events of rolling a fair die two times are independent. The events are neither disjoint nor exclusive.

When rolling a fair die two times, one can get any one of the 36 possible outcomes equally likely. Let A be the event of obtaining an even number on the first roll and let B be the event of getting a number greater than 3 on the second roll. Let’s see how the outcomes of A and B are related:

There are three even numbers on the die, i.e. A={2, 4, 6}. There are four numbers greater than 3 on the die, i.e. B={4, 5, 6}. So the intersection of A and B is the set {4, 6}, which is not empty. Thus, the events A and B are not disjoint. So option (A) is incorrect.

There is only one outcome that belongs to both A and B, i.e. the outcome of 6. Since there are 36 equally likely outcomes, the probability of the outcome 6 is 1/36. Now, if we know that the outcome of the first roll is an even number, does it affect the probability of getting a number greater than 3 on the second roll? Clearly not, since A∩B = {4, 6} and P(B|A) = P(A∩B)/P(A) = (2/36)/(18/36) = 1/9 = P(B). So the events A and B are independent. Thus, option (C) is correct. Neither option (A) nor option (C) can be correct, so we can eliminate options (D) and (E).

To learn more about probability, refer:-

https://brainly.com/question/31828911

#SPJ11

Answer:

Breakeven is often used in finance, it means the point of reaching a balance.

Step-by-step explanation:

Answer:

108

Step-by-step explanation:

So the area of the rectangle is easy.

12 * 5 = 60

Now you have to do the triangles.

The height is (13 - 5) / 2 = 4

The bases are 12

The area of one is (12 * 4) / 2

The area of both is 12 * 4 = 48

60 + 48 = 108

Answer:

Y = 5

Step-by-step explanation:

Answer:

y=5

Step-by-step explanation:

15(12-y)+9y=150 do the () first

180-15y+9y=150 combine the y terms

180-6y=150 subtract 180 from both sides

-6y= -30  divide by -6

y=5

The statement is True. Mean normalization scales data to have a mean of 0, which allows the gradient descent algorithm to more quickly identify the optimum point.

Mean normalization is a feature scaling technique used to speed up the learning process of gradient descent algorithms. It works by mapping the values of a dataset to a range of [-1, 1], or [0, 1], by subtracting the mean from each data point and dividing by the standard deviation. This scaling process helps to reduce the impact of the outliers and normalize the data, allowing the gradient descent algorithm to more quickly converge on the optimal solution. This results in faster and more accurate models.

Learn more about Normalization: https://brainly.com/question/14531594

#SPJ4

Rounded to the nearest dime, the greatest amount of money that rounds to $105.40 is: $105.44 and the least amount of money that rounds to $105.40 is $105.35.

The greatest amount of money that tend to  rounds $105.40 to the nearest dime is $105.44 because $105.44 can be rounded to $105.40 but in a situation were the we have $105.45 instead of $105.44 which means mean that it will be rounded to $105.50

The least amount is $105.35 because you can approximate or round  $105.35 to $105.40

Therefore rounded to the nearest dime, the greatest amount of money that rounds to $105.40 is: $105.44 and the least amount of money that rounds to $105.40 is $105.35.

Learn more about Least and greatest amount here: https://brainly.com/question/6874058

#SPJ1

The probability that the ace of diamonds and a black card will come is 1 / 51 .

Case A :

probability of first getting an ace of diamonds = 1 / 52

probability of getting a black card given first card is ace of diamond = 26 / 51

Hence , probability that the ace of diamonds and a black card will come is  ( 1 / 52 ) * ( 26 / 51 ) = ( 1 / 102 )

Case B :

probability of first getting a black card = ( 26 / 52 )

probability of getting an ace , given first card is a black card = ( 1 / 51 )

Hence , the probability that the ace of diamonds and a black card will come is  ( 26 / 52 ) * ( 1 / 51 ) = ( 1 / 102 )

P ( A ∪ B ) = P ( A ) + P (B ) + P ( A ∩ B )

                  = ( 1 / 102 ) + ( 1 / 102 )

                = 1 / 51 .

To learn more on probability go to :

https://brainly.com/question/24756209

#SPJ4

According to the question The coefficient of variation for the given data set is 40%.

The coefficient of variation (CV) is a measure of relative variability and is calculated by dividing the standard deviation (SD) by the mean (μ) and expressing the result as a percentage.

The formula for the coefficient of variation is:

\(\[ CV = \left(\frac{SD}{\mu}\right) \times 100 \]\)

In this case, the standard deviation is 4 units and the mean is 10 units. Plugging these values into the formula, we get:

\(\[ CV = \left(\frac{4}{10}\right) \times 100 \]\)

\(\[ CV = 0.4 \times 100 \]\)

\(\[ CV = 40 \]\)

Therefore, the coefficient of variation for the given data set is 40%.

To know more about coefficient visit-

brainly.com/question/8804569

#SPJ11

Answer:

First, We'll take two numbers as 'x' and 'y', and their sum is given as 21 i.e. x + y = 21 .  3/4th of 'x'  and  2/3rd of 'y' when added gives 15 i.e.

(3/4)x + (2/3)y = 15. Now, we've got two equations and we'll solve them to get the value of x and y which will be the two numbers.

Step-by-step explanation:

let,

   first number = x

   second number = y

then ,   x + y = 21  

according to the question,

       (3/4)x + (2/3)y = 15

Now, solve these equations :

on solving, we get :

        x = 12 & y = 9

Hence, the two numbers are 12 and 9.

The truth values of the given statements are:

1. True

2. False

3. True

To determine the truth values of the given statements using the open statements p(x), q(x), and r(x) with the universe consisting of all integers, we can substitute the values of x into the open statements and evaluate their truth values.

1. p(5) → q(4)

  p(5): 5 is an odd number (True)

  q(4): 4^2 + 2*4 - 15 = 16 + 8 - 15 = 9 (True)

  Truth value: True → True = True

2. r(-1) ∧ p(2)

  r(-1): -1 > 0 (False)

  p(2): 2 is an odd number (False)

  Truth value: False ∧ False = False

3. ¬q(3) ∨ r(-2)

  ¬q(3): ¬(3^2 + 2*3 - 15) = ¬(9 + 6 - 15) = ¬0 = True

  r(-2): -2 > 0 (False)

  Truth value: True ∨ False = True

Therefore, the truth values of the given statements are:

1. True

2. False

3. True

To know more about  truth values, visit:

https://brainly.com/question/29137731

#SPJ11

The price of carrots per ounce is $0.24 .

Ounce is an unit of mass in the Imperial System. It is widely used throughout the world and is one of the oldest units of measurement to still exist. The unit ounce is derived from uncia, a unit of measurement in roman times.

The ounce(abbreviated oz) is equal to approximately 28.35 grams and 16 ounces make up a pound.

Now it is given that a 2-pound bag of carrots cost $7.68 .

Therefore price per pound of carrots=$7.68÷2

Price per pound=$ 3.84 .

Now we know that 16 ounces make up a pound.

Price of carrots per ounce=  $3.84 ÷16

Price per ounce=  $ 0.24

Therefore the price of carrots per ounce is $0.24

To learn more about price per ounce:

https://brainly.com/question/14345624

#SPJ9

Answer:

Convergent

Step-by-step explanation:

One method to determine if  \(\displaystyle \sum^\infty_{k=1}ke^{-k^2}\)is convergent or divergent is the Integral Test.

Suppose that the function we use is \(f(x)=xe^{-x^2}\). Over the interval \([1,\infty)\), the function is always positive and continuous, but we also need to make sure it is decreasing before we can proceed with the Integral Test.

The derivative of this function is \(f'(x) = e^{-x^2}(1-2x^2)\), so our critical points will be \(\displaystyle x=\pm\frac{1}{\sqrt{2}}\), but we can drop the negative critical point as we are starting at \(k=1\). Using some test points, we can see that the function increases on the interval \(\bigr[0,\frac{1}{\sqrt{2}}\bigr]\) and decreases on the interval \(\bigr[\frac{1}{\sqrt{2}},\infty\bigr)\). Since the function will eventually decrease, we can go ahead with the Integral Test:

\(\displaystyle \int_{{\,1}}^{{\,\infty }}{{x{{{e}}^{ - {x^2}}}\,dx}} & = \mathop {\lim }\limits_{t \to \infty } \int_{{\,1}}^{{\,t}}{{x{{{e}}^{ - {x^2}}}\,dx}}\hspace{0.5in}u = - {x^2}\\ & = \mathop {\lim }\limits_{t \to \infty } \left. {\left( { - \frac{1}{2}{{{e}}^{ - {x^2}}}} \right)} \right|_1^t\\ & = \mathop {\lim }\limits_{t \to \infty } \left( {-\frac{1}{2}{{e}}^{ - {t^2}}-\biggr(-\frac{1}{2e}\biggr)}} \right) = \frac{1}{2e}\)

Therefore, since the integral is convergent, the series must also be convergent by the Integral Test.

The angle subtended by the arc rounded off to the nearest 10th is 3.6 radians.

We have been given that the length of the arc subtended by the angle at the center is 26.2 units.

The radius of the said circle is 7.3 units.

Now the relation between the length of the arc, the angle subtended by it on the center of the circle, and the radius of the circle is given by

l = rθ

where,

l s the length of the arc in radians

r is the radius of the circle in radians

θ is the angle subtended by the arc

Here l = 26.2 units

r = 7.3 units

Hence we get

θ = l/r

θ = 26.2/7.3

= 3.589 radians

= 3.6 radians

To learn more about Arc visit

https://brainly.com/question/1582130

#SPJ4

The incidence rate of active cases of tb for the 6-month period was  0.00014

An incidence rate describes how quickly disease occurs in a population.

Incidence rate is the rate of new occurrence of a particular disease divided by the population of people at risk of the disease.

So for this question

The number of new  active cases of tb occurring between January 1 and June 30, 2012 was 26

Population at risk  in Baltimore is 183,000

Incidence rate = 26/183,000

The incidence rate of active cases of tb for the 6-month period was           0.00014 or 14 per 100,000 population.

To know more about incidence rate

https://brainly.com/question/22366057

#SPJ4

Answer: false.

Step-by-step explanation:

it's only a terminating decimal if you end up with a remainder of 0.

Answer:

\(A=\) $\(966.306\)

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

\(A=P(1+\frac{r}{n})^n^{t}\)

where

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

\(t= 5\) \(years\)

\(P=\) $\(600.00\)  

\(r=10\)% \(=10/100=0.10\)

\(n=1\)

substitute in the formula above

\(A=600(1+\frac{0.10}{1})^1^*^5\)

\(A=600(1.10)^5\)  

\(A=\) $\(966.306\)