What is the mixed number of 2 1/5 and 5/9

The mean and the standard deviation of the sampling distribution of x are given as follows:

The mean and the standard deviation of the sampling distribution of x are defined according to the Central Limit Theorem, which states that:

The parameters for this problem are given as follows:

Hence the standard deviation for the sampling distribution of x is given as follows:

s = 60/sqrt(10) = 19 seconds.

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The best instrument to determine the predictive validity of a metric scale would be a correlation-coefficient.

This measure assesses the strength of the relationship between two variables, in this case, the metric scale scores and the predicted outcome. A high correlation would indicate that the metric scale is a good predictor of the outcome, whereas a low correlation would indicate that the metric scale is not a reliable predictor.

Cronbach's alpha is a measure of internal consistency and would not be appropriate for determining predictive validity. Fisher's r-to-z test is used to compare the strength of two correlations and is not necessary in this scenario. Therefore, the answer is B, a correlation-coefficient.

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Answer:

2 1/4 divided by 1/4

or

9/4 divided by 1/4

Step-by-step explanation:

Answer:

2 1/4 / 1/4 = ?

Step-by-step explanation:

ok so

2 1/4 / 1/4

(jelly beans / how much she ate)

Answer:

side: 4 metres

perimeter: 16 metres

Step-by-step explanation:

Let's first find the area of this rectangle.

The area of a rectangle is denoted by A = lw, where l is the length and w is the width. Here, the length is l = 6.4 and the width is w = 2.5. Plug these in:

A = lw

A = 6.4 * 2.5 = 16 metres squared

We want to find the side of a square with area 16. Suppose the side length is x. The area of a square is denoted by A = x * x = x², so set this equal to 16:

x² = 16

x = √16 = 4

Thus, the side length is 4 metres.

The perimeter of a square is denoted by P = 4s, where s is the side length.

Here the side length is 4 metres, as we found, so:

P = 4s = 4 * 4 = 16

Hence the perimeter is 16 metres.

Answer:

-1.2

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

answer is -1.

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

-1

-1 is the answer to the question

Answered by Gauthmath must click thanks and mark brainliest

Answer:

x = 7.5

Step-by-step explanation:

imagine the 5 and x highlighted green

and the 6 and 9 highlighted blue

green goes on top blue goes on bottom

\(\frac{5}{6}\) = \(\frac{x}{9}\)            now cross multiply

45 = 6x

x = 7.5

you can check your answer by putting 7.5/5 and 9/6 and you get the answer 1.5 for both

hope this helps

The angle at the centre is twice the angle at the circumference.

The angle in a semicircle is a right angle.

Angles in the same segment are equal.

Opposite angles in a cyclic quadrilateral sum to 180°

Values of parameters n and p for the binomial distribution with mean 6 and variance 3.6 are n=15 and p=0.4, respectively.

In probability theory and statistics, the binomial distribution is a discrete probability distribution that describes the number of successes in a fixed number of independent and identical trials, where each trial can result in only two possible outcomes, often labeled as "success" and "failure".

The distribution depends on two parameters: the probability of success (p) and the number of trials (n). The probability of getting exactly k successes in n trials can be calculated using the binomial probability mass function.

The binomial distribution has applications in various fields, including quality control, genetics, and finance, among others.

We know that for a binomial distribution, the mean and variance are given by:

Mean = np

Variance = np(1-p)

Substituting the given values, we have:

Mean = 6

Variance = 3.6

Thus, we can write two equations:

6 = np

3.6 = np(1-p)

We can solve for n and p by substituting the first equation into the second equation:

3.6 = (6/p) * (1-p) * p

3.6 = 6 - 6p

6p = 6 - 3.6

p = 0.4

Substituting this value of p into the first equation, we get:

6 = n * 0.4

n = 6 / 0.4

n = 15

Therefore, the values of the parameters n and p are n = 15 and p = 0.4, respectively.

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Answer:

false

Step-by-step explanation:

yw

Answer:

Heavenly,  we need the forumula for the area of a triangle, do you know it?

Step-by-step explanation:

Area of a triangle is (1/2 ) * B*H

where B = base

H = height

then

A = 1/2* B * H

A is given to be 20

B = b

H = b+4

plug all those into the formula,

20 = (1/2)*b*(b+4)

use your algebra skillz  :P

20 = 1/2 *( \(b^{2}\) + 4b)

20*2 = \(b^{2}\) + 4b

40 = \(b^{2}\) + 4b

0 = \(b^{2}\) + 4b-40

rewrite the above so it's in x format

\(x^{2}\) + 4x -40 = 0

use the quadratic formula to find  x  , and for our problem, remember that x represents the base,  or b,  but don't mix it up with the b in the quadatic fomula,  with the b of the triangle, which is the base,  they are differnt "b"s   :P

X = (b±\(\sqrt{b^{2}-4*a*c }\) ) / 2*a

a = 1

b = 4

c = -40

x = (4±\(\sqrt{4^{2}-4*1*(-40) }\)  ) /2*1

x = ( 4±\(\sqrt{16+160}\) ) / 2

x = (4±\(\sqrt{176}\) ) / 2

x = (4±13.266499)/2

x= 2±6.633249

x = 2 + 6.633249 = 8.633

b= 8.633 cm

The expression obtained by simplifying using exponent rules is  \({2^{-1}*3^{-1}*1^{5} }\).

What are exponent rules?

Exponent rules, often known as the "laws of exponents" or the "properties of exponents," make it easier to simplify equations based on exponents. By following these rules, expressions with exponents that are decimals, fractions, irrational numbers, or negative integers can be made simpler.

We are given an expression as \(\frac{2^{3}*3^{-4}*1^{5}* 2^{-4} }{3^{2} *2^{0} *3^{-5} }\).

Now, we know that in multiplication, exponents having same base are added.

So, we get

⇒ \(\frac{2^{3 + (-4}*3^{-4}*1^{5} }{3^{2 + (-5)} *2^{0} }\)

⇒ \(\frac{2^{-1}*3^{-4}*1^{5} }{3^{-3} *2^{0} }\)

Also, when dividing, exponents having same base are subtracted.

So, we get

⇒ \({2^{-1-0}*3^{-4-(-3)}*1^{5} }\)

⇒ \({2^{-1}*3^{-1}*1^{5} }\)

Hence, the expression obtained by simplifying using exponent rules is  \({2^{-1}*3^{-1}*1^{5} }\).

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Answer:

1) not a function

2) Function

3) Function

Step-by-step explanation:

The vertex of a parabola is the extreme point (maximum or minimum, depending on the the sign of the quadratic coefficient).

In the graph, we can see that the x-coordinate of the vertex is x=-1 and the y-coordinate is y=3.

Then, we can write the coordinates of the vertex as (h,k) = (-1,3)

Answer: The coordinates of the vertex are (-1,3)

The Volume of Composed figure is 6336 m³.

We have,

Base Area of Cube = 144 square meter

So, Side of base = √144 = 12 m

Now, slant height of Pyramid = 10 m

So, height of pyramid = √10² - (12/2)²

= √100 - 36

= √64

= 8 m

Then, Volume of Composed figure

= Volume of cube + Volume of Pyramid

= l³ + 1/2 x base area x height

=  1728 + 1/2 x 144 x 64

= 1728 + 4608

= 6336 m³

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Answer:

484 yd squared.

Step-by-step explanation:

Since all the sides ars the same length, you multiply 22 by 22 and get 484. Hope this helps sorry if im incorrect.

Answer:

#1

Ratio of 45-45 and 30-60-90 triangles

45-45

30-60-90

a)  

b)

#2

Find x

Find y

#3

a) sin A = 5/13

b) cos A = 12/13

c) tan A = 5/12

d) A = arcsin (5/13) = arccos (12/13) = arctan (5/12) = 22.6°

Answer:

a) Arc  length (l) = 36 inches

b)

The nearest angle in degrees θ = 103.18°

Step-by-step explanation:

Step(i):-

An arc has a central angle of 1.8 radians and a radius of 20  inches.

Given arc has a central angle of 1.8 radians and

radius of circle = 20 inches

Given arc has a central angle (θ ) = 1.8 radians

Arc  length (l) = r θ

                 l = 20 × 1.8 radians

              l  = 36

The length of arc = 36 inches

b)

we will convert radians to degree

1.8 × 180° / π =  324° / π ≅ 103.18°

The nearest angle in degrees θ = 103.18°

Answer:

a. 754cm³ (3 s.f.)

b. 415cm² (3 s.f.)

Step-by-step explanation:

Formulas (for easier reference):

Volume of cone: \(\pi\)r²\(\frac{h}{3}\)

Volume of hemisphere: \(\frac{2}{3}\)\(\pi\)r³

Surface area of cone without base: \(\pi\)rl

Surface area of hemisphere without base: 2\(\pi\)r²

We can just apply the formulas for the question:

Volume of toy = (\(\pi\) × 6² × \(\frac{8}{3}\)) + (\(\frac{2}{3}\) × \(\pi\) 6³)

                        = 96\(\pi\) + 144\(\pi\)

                        = 240\(\pi\)

                        = 754cm³ (3 s.f.)

Surface area of toy = (\(\pi\) × 6 × 10) + (2 × \(\pi\) × 6²)

                                = 60\(\pi\) + 72\(\pi\)

                                = 132\(\pi\)

                                = 415cm² (3 s.f.)

Answer:

1 round of wire = 25m

5 rounds of wire = 5×25m

                            = 125m

1m = 100cm

125m = 12500cm

a) If you bid $12,000, then the probability that your bid will be accepted: 0.32

b) If  you bid $14,000, then the probability that your bid will be accepted: 0.72

c)  The amount thet should you bid to maximize the probability that you get the property: $15400

d) The expected profit $15500

Let us assume that x be a random variable of the competitor's bid amount.

x is uniformly distributed between $10,400 and $15,400.

Let a = 10400

and b = 15400

We know that the probability that we find a value X≤ x is given by:

P(X ≤ x) = (x - a)/(b - a)

1) Suppose you bid $12,000, then the probability that your bid will be accepted:

Using above formula,

P(X ≤ 12000)

= (12000 - 10400)/(15400 - 10400)

= 0.32

2) Suppose you bid $14,000, then the probability that your bid will be accepted:

Using above formula,

P(X ≤ 14,000)

= (14,000 - 10400)/(15400 - 10400)

= 0.72

3) The amount thet should you bid to maximize the probability that you get the property:

Here, the bid is uniformly distributed between $10,400 and $15,400.

So, to maximize the probability that you get the property, you should bid an amount in excess of $15,400.

4) P(X < 12900)

= (12900 - 10400)/(15400 - 10400)

= 0.5

so, the expected profit would be:

Profit = 0.5 × (16000 - 12900)

        = 15500 dollars

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The complete question is:

Suppose we are interested in bidding on a piece of land and we know one other bidder is interested. The seller announced that the highest bid in excess of $10,400 will be accepted. Assume that the competitor's bid x is a random variable that is uniformly distributed between $10,400 and $15,400.

Required:

a. Suppose you bid $12,000. What is the probability that your bid will be accepted (to 2 decimals)?

b. Suppose you bid $14,000. What is the probability that your bid will be accepted (to 2 decimals)?

c. What amount should you bid to maximize the probability that you get the property (in dollars)?

d. suppose that you know someone is willing to pay you $16000 for the property. you are considering bidding the amount shown in part (c) but a friend suggests you bid $12900. if your objective is to maximize the expected profit, what is your bid? - select your answer - what is the expected profit for this bid (to 2 decimals)?

The equation \(s^4 + 3s^3 + 7s^2 + 3s + 6 = 0\), the same principle applies. If all the roots have negative real parts, the system is stable. Otherwise, it is unstable.

To determine the stability of the characteristic equations, we need to analyze the locations of the roots (zeros) of the equations. The characteristic equations can be written in the form:

i) \(s^5 + 2s^4 + 3s^3 + 6s^2 + 6s + 9 = 0\)

ii) \(s^4 + 3s^3 + 7s^2 + 3s + 6 = 0\)

i) For the equation \(s^5 + 2s^4 + 3s^3 + 6s^2 + 6s + 9 = 0\), we can determine the stability by analyzing the real parts of the roots. Otherwise, it is unstable.

ii) For the equation \(s^4 + 3s^3 + 7s^2 + 3s + 6 = 0\), the same principle applies.

To determine the range of K for stability, we would need additional information or constraints mentioned in the equations. If there is a parameter K that affects the stability, it would need to be specified in the equations to provide a range for stability analysis.

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Using the t-distribution, as we have the standard deviation for the sample, it is found that the test statistic is given by:

A. -4.47

At the null hypothesis, it is tested if they spend 7 hours a week answering their email, that is:

H₀: µ = 7

At the alternative hypothesis, it is tested if they spend less than 7 hours, that is:

H₁:  µ < 7

The test statistic is given by:

t = x -  µ/s/√n

The parameters are:

x is the sample mean.

µ is the value tested at the null hypothesis.

s is the standard deviation of the sample.

n is the sample size.

In this problem, the parameters are given as follows:

x = 6.02 ,  µ = 7, s =7.8, n=1264

Hence the test statistic is:

t =  x -  µ/s/√n

t = 6.02-7/7.8/√1264

t = -4.47

Thus the test elastic is -4.47.

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Answer:

180 - 117 = 63

so...

(3x -3 ) +(x) + 63 = 180

4x +60 = 180

4x = 180 - 60

4x = 120

x =30

Answer:

x=30, 3x-30=60

sum of angles on a straight line =180

therefore, 180-117=63

then, sum of angles in a triangle=180

3x-3+x+63=180

4x+60=180

4x=180-60

4x=120

x=30

3x-30=3(30)-30=60

The given problem is a 0-1 integer programming problem, which involves finding the maximum value of a linear objective function subject to a set of linear constraints, with the additional requirement that the decision variables must take binary values (0 or 1).

To solve this problem by implicit enumeration, we systematically evaluate all possible combinations of values for the decision variables and check if they satisfy the constraints. The objective function is then evaluated for each feasible solution, and the maximum value is determined.

In this case, there are three decision variables: x1, x2, and x3. Each variable can take a value of either 0 or 1. We need to evaluate the objective function 2x1 - x2 - x3 for each feasible solution that satisfies the given constraints.

By systematically evaluating all possible combinations, checking the feasibility of each solution, and calculating the objective function, we can determine the solution that maximizes the objective function value.

The explanation of the solution process, including the enumeration of feasible solutions and the calculation of the objective function, can be done using a table or a step-by-step analysis of each combination.

This process would involve substituting the values of the decision variables into the constraints and evaluating the objective function. The maximum value obtained from the feasible solutions will be the optimal solution to the problem.

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Answer:

C, D, E, F

Step-by-step explanation:

Remember y=mxb?

m is slope and b is y-intercept

so y=2/7x-9

Remember that slope is RISE/RUN so for every 2 squares that you go up, you go 7 squares to the right.

Also remember that since your graph is going thru your Cartiesian Plane in quadrent 4, your y value in your ordered pairs will most probably be a negative.

Please see the image to help you viualize this.

Step-by-step explanation:

p = 5 ÷ (12.37 - 1.12)

p = 5 ÷ 11.25

p = 2.25

Answer:

$12.37-1.12=$11.25

let p =1 slice

5(p)=11.25

5p=11.25

To find the area of a quadrilateral with given coordinates, you can use the Shoelace Formula.

The Shoelace Formula, also known as Gauss's area formula, provides a method to calculate the area of any polygon given its coordinates. Here's how it works for a quadrilateral:

Let's say you have the coordinates of the four vertices of the quadrilateral: (x1, y1), (x2, y2), (x3, y3), and (x4, y4).

1. Write down the coordinates in a clockwise order:

  (x1, y1), (x2, y2), (x3, y3), (x4, y4), (x1, y1).

2. Multiply each x-coordinate by the y-coordinate of the next vertex.

  For example, for the first vertex (x1, y1), multiply x1 by y2, and for the second vertex (x2, y2), multiply x2 by y3, and so on.

3. Multiply each y-coordinate by the x-coordinate of the next vertex.

  For example, for the first vertex (x1, y1), multiply y1 by x2, and for the second vertex (x2, y2), multiply y2 by x3, and so on.

4. Add up all the results from Steps 2 and 3.

5. Take the absolute value of the sum calculated in Step 4 and divide it by 2.

By following the steps of the Shoelace Formula, you can calculate the area of a quadrilateral given its coordinates. Remember to ensure that the coordinates are listed in a clockwise or counterclockwise order to obtain the correct result. This method can be applied to any quadrilateral shape and provides an efficient way to find its area without requiring complex calculations or trigonometric functions.

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Answer:

F(x) < 6

Step-by-step explanation:

\(\sqrt{(x^2 + 6x +9)} = \sqrt{(x+3)(x+3)} = \sqrt{(x+3)^2\\}\)

This can be simplified to (x+3) and so if x is less than 3, f(x) is less than 6

Answer:

- 1 and 15

Step-by-step explanation:

Substitute x = 2 and x = - 2 into f(x)

f(2) = - 4(2) + 7 = - 8 + 7 = - 1

f(- 2) = - 4(- 2) + 7 = 8 + 7 = 15