Raise seven to the second power then find the sum of the result of Z

The length of the median of the trapezoid ABCD is  12 .

In the question ,

it is given that ,

the area of the trapezoid ABCD is = 60 ,

the height of the trapezoid ABCD is = 5 ,

let one base of the trapezoid ABCD be = a ,

So, b = a + 4 ,

Substituting the value in the formula for Area of the trapezoid = A =(a+b)h/2

(a + a + 4)5/2 = 60

(2a + 4)5 = 120

2a + 4 = 120/5

2a + 4 = 24

2a = 24 - 4

2a = 20

a = 20/2

a = 10 units

and other base = 10 + 4 = 14 units

So , the length of the median will be = (10 + 14)/2

= 24/2 = 12 units

Therefore , the length of median is = 12  .

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Answer:This is not a proportional relationship.

Step-by-step explanation:

The largest integer that is a divisor of (n + 1)(n + 3)(n + 5)(n + 7)(n + 9)  for all positive even integers is 15

The correct answer is an option (d)

In this question, we need to find the largest integer that is a divisor of (n + 1)(n + 3)(n + 5)(n + 7)(n + 9)  for all positive even integers n.

We can observe that (n + 1), (n + 3), (n + 5), (n + 7) and (n + 9)  are 5 consecutive odd integers

In every 5 consecutive odd positive integers, one of them is always divisible by 3 and one of them is always divisible by 5.

This means, (n + 1)(n + 3)(n + 5)(n + 7)(n + 9) will be divisible by both 3 and 5

i.e., (n + 1)(n + 3)(n + 5)(n + 7)(n + 9) will also divisible by 15 (3 * 5 = 15)

Therefore, the largest integer that is a divisior of (n + 1)(n + 3)(n + 5)(n + 7)(n + 9)  = 15

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The values for random variables in a Monte Carlo simulation area that were chosen at random from probability distributions are the right answer.

What is Monte Carlo Simulation ?

The Monte Carlo Method, also referred to as the Monte Carlo Simulation or a multiple probability simulation, is a mathematical method for predicting potential outcomes of an uncertain event. To help people make better decisions when faced with uncertainty, John von Neumann and Stanislaw Ulam developed the Monte Carlo Method during World War II.

Therefore, the values for random variables in a Monte Carlo simulation area that were generated at random from probability distributions are the right answer.

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The correct response is the set of values for random variables in a Monte Carlo simulation region that were randomly selected from probability distributions.

In order to represent uncertainty in a model that represents a real system and computes the values of model outputs, a Monte Carlo technique is used. During World War II, John von Neumann and Stanislaw Ulam created the Monte Carlo Method to aid people in making better judgments when faced with uncertainty.

As a result, the correct response is the random values for random variables that were produced using probability distributions in a Monte Carlo simulation area.

Relation is an association between two sets of objects which are paired according to certain rule.

As given in the question,

Given statement is:

Association between the two given sets of objects that are paired according to the certain rule.

Explanation of each option for the given statement:

A. Domain : Domain represents all the input values of any relation.

It is not correct option.

B. Range : It represents all the output values of any relation.

It is not correct option.

C. Relation : It represents the association between two sets which are collection of ordered pairs ( x, y ) where each input value is associated with output value.

It is the correct option.

D. Function : It represents each input is uniquely related to output value.

Not a correct option.

Therefore, relation is an association between two sets of paired objects with certain rule.

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Dilating a triangle by - 3 with vertices (3, 4), (3, 5), and (5, 5) will be

(- 9, - 12), (- 9, - 15) and (- 15, - 15).

Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

Dilation: The preimage is scaled up or down to create the image.

Reflection: The picture is a preimage that has been reversed.

Rotation: Around a given point, the preimage is rotated to create the final image.

Translation: The image is translated and moved a fixed amount from the preimage.

Given, A triangle with vertices (3, 4), (3, 5) and (5, 5).

Now dilating by a scale factor of - 3 will have every point multiplied by - 3 and the new vertices will be (- 9, - 12), (- 9, - 15) and (- 15, - 15).

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Answer:

If 6a = 5b then the ratio of 2a : 7b is 5 : 21

Explanation:

Given that 6a = 5b

We have to find the ratio of 2a : 7b

Let us first solve the given expression and find values of a and b

6a = 5b

So we have found that a = 5 and b = 6

Finding ratio of 2a : 7b

2a : 7b = 2(5) : 7(6)

2a : 7b = 10 : 42

On simplifying to lowest terms,

2a : 7b = 5 : 21

Thus the ratio of 2a : 7b is 5 : 21

Answer:

$21.6

Step-by-step explanation:

[tex]720*\frac{3}{100} =720*0.03=21.6[/tex]

At a confidence interval of 95%, if a polling result states that a president has an approval rating of 55%, the value of a margin of error of x is 1.534%.

In the given question, at a confidence interval of 95%, if a polling result states that a president has an approval rating of 55%, with a margin of error of x, then we have to explain how should we interpret that.

The given confidence interval = 95%.

We can write it as CI = 0.95.

An approval rating is 55%.

We can write it as(p) = 0.55

A margin of error is x.

Let the value of sample size n = 1000.

So the margin of error;

ME = z× {p(1-p)}/√n

The value of z for confidence interval of 95% is 1.96.

Now putting the value

x = 1.96× {0.55(1-0.55)}/√1000

x = 1.96× {0.55×0.45}/31.623

x = 1.96× 0.2475/31.623

x = 1.96×0.00783

x = 0.01534

x = 1.534%

So the margin of error should be 1.534%.

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The right question is:

At a confidence interval of 95%, if a polling result states that a president has an approval rating of 55%, with a margin of error of x, how should you interpret that?

The value of c that will make the expression x² + 24x + c  a perfect trinomial is 144.

The perfect squared trinomial as a perfect binomial is (x + 12)²

An expression obtained from the square of the binomial equation is a perfect square trinomial.

In other words, perfect square trinomials are algebraic expressions with three terms that are obtained by multiplying a binomial with the same binomial.

If a trinomial is in the form ax² + bx + c is said to be a perfect square, if and only if it satisfies the condition b² = 4ac.

Therefore,

x² + 24x + c

where

Therefore,

b² = 4ac

24² = 4 × 1 × c

4c = 576

divide both sides by 4

c = 576 / 4

c = 144

Therefore,

c = 144

The perfect squared trinomial as a perfect binomial is as follows:

x² + 24x + 144

x² + 12x + 12x + 144

x(x + 12) + 12(x + 12)

(x + 12)(x + 12)

(x + 12)

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The angle measures in this problem are given as follows:

The sides of the mountains are parallel, which means that the angles of these sides have the same measures, as follows:

Then the measure of x is obtained considering that angles x, y and z form a ray, that is, the sum of their measures is of 180º, hence:

x + y + z = 180

x + 55 + 37 = 180

x = 180 - (55 + 37)

x = 88º.

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Answer:

Step-by-step explanation:

1. is .4444444 or 4/9

All you do for this is enter -2 as x for 4(3)^x

2.  is x^24 or answer (4)

this is because you will multiply the exponents starting with -4 till you get 24.  

-4 x -1 = 4

4 x 6 = 24

3. sorry I have to go for this one, plug in any number into x and experiment with the 4 answers till one of them gives you the same solution

The value of alpha is 0.025. The Z-value is 1.96. The P(z) is 0.5. The effect size is 0.05. The Sample size for the study is 384.

An area created using fixed-size samples of data from a population (sample space) that follows a certain probability distribution is known as a confidence interval. A selected population statistic is built into the interval with a specified probability. An estimate's level of uncertainty is described by a confidence interval, which is a range of numbers. The 68-95-99.7 Rule states that 95% of values lie within two standard deviations of the mean, hence to get the 95% confidence interval, you add and subtract two standard deviations from the mean.

Here,

All the calculations attached in image.

z= 1.96

p = 0.5

q = 1-p = 0.5

E = 0.05

sample size =

(z^2).(pq)=(1.96^2).(0.5)(.0.5)

384.16,

round up

n for study =385

Alpha has a value of 0.025. There is a 1.96 Z-value. P(z) equals 0.5. The impact factor is 0.05. The Sample size for the study is 384.

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Answer:

$40.8

Step-by-step explanation:

You would do 3.40 * 12 because a dozen is 12 roses.

So 3.40 × 12 = 40.8

Could you please give me brainliest for this? Thank you!

The value of x=11 and the value of an angle ∠RDB=45°.

In Euclidean geometry, an angle is the figure formed by two rays, known as the sides of the angle, that have a common termination, known as the vertex of the angle. These are referred to as dihedral angles. An angle can also be defined by two intersecting curves, which is the angle of the rays lying tangent to the respective curves at their point of intersection.

Angle can also refer to the measurement of an angle or a rotation. This measurement is the ratio of the length of a circular arc to its radius.

By using the secant-secant theorem,

(13x+7-60)/2=5x-10

13x-53=10x-20

3x-53=-20

3x=33

x=11

m ∠RDB=5(11)-10

=45°

Hence, the value of x=11 and the value of an angle ∠RDB=45°.

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Answer:

Step-by-step explanation:

y varies directly as x.

y = 18 , x = 5

y =36 then x also double,

x = 10

Answer: 1 1/5

Step-by-step explanation: you can write it as 1.5/1 times 4/5.

multiply by numerator and denominator so 1.5*4 which is 6

and 1*5 which is 5.

Now you have 6/5

6 can go into 5 once and you have 1 extra so 1 1/5

Answer:

Below

Step-by-step explanation:

s = small box number         volume =  6s

L = large box number         volume   = 15L

6s + 15 L =243    

  AND      s = L +2  

Check the picture below.

[tex]tan(x)=\cfrac{\stackrel{opposite}{50}}{\underset{adjacent}{42}}\implies tan(x)=\cfrac{25}{21}\implies x=tan^{-1}\left( \cfrac{25}{21} \right)\implies x\approx 50^o[/tex]

Make sure your calculator is in Degree mode.

Answer:

30 I think but I'm not positive

Step-by-step explanation:

Answer:

60 degrees

Step-by-step explanation:

The arc length is 1/6th of the total ....the angle will be 1/6th of the total 360° of the circle

1/6th  X 360 = 60 °

Answer:

60 degrees

Step-by-step explanation:

1.) Figure out which portion of the circle that the arc is. Since the total circumference is 6, and the arc is 1, that means that the arc is 1/6 of the circle.

2.) Now, figure out the measure of the angle. Since the total angle measure in a circle is 360 degrees, we multiply 1/6*360 to figure out the measure. This is equal to 60 degrees.

The balanced equation is Ba(C₂O₄) + 2K(IO₃) → Ba(IO3)₂ + K₂(C₂O₄).

An equation is a combination of different variables, in which two expressions are equal to each other.

The given equation is,

Ba(C₂O₄) + K(IO₃) → Ba(IO3)₂ + K₂(C₂O₄)

Since, there are 2 atom of potassium on right side and also (IO₃) is two times.

To balance the equation, Coefficient of K(IO₃) should be 2.

The equation can be represented as,

Ba(C₂O₄) + 2K(IO₃) → Ba(IO3)₂ + K₂(C₂O₄)

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Step-by-step explanation:

4x+12=0

4x= -12

x = -3

.........

The mean and standard deviation of sampling distribution are 0.0187 and 0.010 respectively

The mean is a measure of location which tells us the average of observation.

Standard deviation tells us how dispersed a data is or how much variation our data contains.

According to question,

The population size : N = 1500

Number of fraudulent in a month : 28

Population proportion : P = 28/1500

=> P = 0.0187

Sample size: n = 180

Sample proportion : p = 28 / 180

=> p = 0.156

Therefore The mean of sampling distribution for the sample size 28,

μ = P

=> μ = 0.0187

The standard deviation will be

=> σ = [tex]\sqrt{\frac{p(1-p)}{n}}[/tex]

Substituting the value,

=>  σ = [tex]\sqrt{\frac{0.0187(1-0.0187)}{180}}[/tex]

=>  σ  = 0.010

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z = -2.51 is the required test statistic.

A statistic employed in statistical hypothesis testing is known as a test statistic.

A test statistic, which can be thought of as a numerical summary of a data set that condenses the data into a single value that can be used to conduct the hypothesis test, is how a hypothesis test is commonly expressed.

The probability value, or p-value, indicates the likelihood that your data could have been true under the null hypothesis.

This is accomplished by estimating the probability of your test statistic, which is the figure obtained from a statistical analysis of your data.

So, we have to use: Ha: pB < pNY

This implies that the alternative thesis is revised as follows:

Ha: pB - pNY < 0

In contrast to the null hypothesis:

H₀: pB - pNY = 0

This is the test statistic:

z = X - μ/a

Now, pB = 0.581, pNY = 0.832.

It follows that: X = 0.581 - 0.832 = -0.251

The test for the null hypothesis is 0.

This follows to: μ = 0

Standard deviation: 0.1

This follows to: s = 0.1

Test statistic:

z = X - μ/a

z = -0.251-0/0.1

z = -2.51

Therefore, z = -2.51 is the required test statistic.

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Complete question:
A study was conducted to compare the proportion of drivers in Boston and New York who wore seat belts while driving. Data were collected, and the proportion wearing seat belts in Boston was 0.581 and the proportion wearing seat belts in New York was 0.832. Due to local laws at the time the study was conducted, it was suspected that a smaller proportion of drivers wear seat belts in Boston than New York.

Find the test statistic for this test using Ha: pB < pNY. (Use standard error = 0.1.)

The father is with the son's mother.

Given that,

a mother is 21 years older than her son.

Let us consider M be the age of the mother and S be the age of the son

which implies that,

M = S + 21 ---------------(1)

and in 6 years, mother will be 5 times as old as her son

i.e. M + 6 = 5(S + 6)

M = 5S + 24 ------------- (2)

so equation (1) and (2) implies that,

S + 21 = 5S + 24

     21 = 4S + 24

       S = - 3/4

That means son is - 3/4 years old or - 9 months.

The time at which we know the father will be with son's mother.  

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The minimum value of the function occurs between 4 and 5.

A function is a relation where every input is connected to only one possible output from a set of available inputs.

Given the table of values.

Note that the value of the function is a minimum of between 4 and 5.

Hence, the minimum value of the function occurs between 4 and 5.

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A qualitative variable with two possible outcomes (Option D) is necessary to build a confidence interval for the population proportion.

Given,

We must determine the kind of variable needed in the given problem to build a confidence interval for a population proportion.

Considering that;

The percentage of the entire population that possesses a specific quality is known as the population proportion (which is qualitative in nature). Therefore, a qualitative variable with two alternative outcomes must be used to generate the confidence interval for the population proportion.

Therefore, the nature of the various types of variables is used to choose the correct option. A qualitative variable with two possible outcomes (Option D) is necessary to build a confidence interval for the population proportion.

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Question is incomplete. Completed question is given below;

What type of variable is required to construct a confidence interval for a population proportion?

A. Quantitative

B. Qualitative with any number of possible outcomes

C. Continuous

D. Qualitative with 2 possible outcomes

E. Discrete

F. Qualitative with 3 or more possible outcomes

Answer:130.09

Step-by-step explanation:

Using the formulas

A=2AB+(a+b+c)h

AB=s(s﹣a)(s﹣b)(s﹣c)

s=a+b+c

2

Solving forA

A=ah+bh+ch+1

2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=5·7.2+8·7.2+3.5·7.2+1

2·﹣54+2·(5·8)2+2·(5·3.5)2﹣84+2·(8·3.5)2﹣3.54≈130.08536