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The value of x from the given five integers is 34.

Here we have to find the value of x.

Data given:

Five positive number = 31, 58, 98, x, x

The mean is 1.5 times the mode.

Mean = (31 + 58 + 98 + x + x) / 5

         = (187 + 2x) / 5

Mode = x

As the mean is 1.5 times the mode so from this we have:

mean = 1.5 × mode

(187 + 2x)/ 5 = 1.5x

187 + 2x = 7.5x

5.5x = 187

x = 34

Therefore the value of x is 34.

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Answer:

The y-intercept is 174.3

Step-by-step explanation:

The question said to use a graphing calculator so I used a TI-84 Graphing Calculator.

Go to Stat>Edit...>And Fill In the X Variables In List 1 And the Y Variables in List 2

Return to the Stat Menu>Click Right to Go to Calc>Scroll to LinReg(ax+b)>X is L1, Y, is L2, FreqList is blank>Enter

Answer: 81,000

Step-by-step explanation:

We can solve this by using the formula given.

If f(1)=1000x3^1, then 1,000x3=3,000

If f(2)=1000x3^2, then 3^2=9 and 1000x9=9000,

and so on,

Now, f(4) will equal 1000x3^4, and 3^4 is 3x3x3x3, which is 9x9 or 9^2, which would be equal to 81, and 81x1000=81,000

To complete the table of values for the exponential function f(x) = 1000*3^x, we can evaluate the function for x = 0, 1, 2, 3, and 4, since we are interested in the number of bacteria on the phone after 4 hours.

x f(x)

0 1000

1 3000

2 9000

3 27,000

4 81,000

Therefore, after 4 hours, there will be 81,000 bacteria on the surface of the phone, assuming the number of bacteria triples every hour and can be described by the exponential function f(x) = 1000*3^x.

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The equation 2 - 7/9x = 5/6, when rewritten without fractions, is x = 9/2.

To rewrite the equation 2 - 7/9x = 5/6 without fractions, we can eliminate the fractions by multiplying both sides of the equation by the least common denominator (LCD) of all the denominators involved.

The LCD in this case is the product of 9 and 6, which is 54.

Multiplying both sides of the equation by 54:

54 * (2 - 7/9x) = 54 * (5/6)

On the left side, we distribute the 54 to each term:

108 - (54 * 7/9)x = (54 * 5/6)

Now we simplify each side of the equation:

108 - (378/9)x = 270/6

108 - 42x/9 = 270/6

Now we can simplify the equation further:

108 - 14x = 45

To eliminate the constant term on the left side, we subtract 108 from both sides:

-14x = 45 - 108

-14x = -63

Finally, to isolate x, we divide both sides by -14:

x = (-63) / (-14)

Simplifying the division:

x = 9/2

Therefore, the equation 2 - 7/9x = 5/6, when rewritten without fractions, is x = 9/2.

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Answer:

i did the answer the person above me did and it was right

Step-by-step explanation:

The amount of toll fee for the truck is A = $ 62.00

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

First, we need to convert the weight of the semitruck and its load from tons to pounds:

31 tons = 31 x 2000 = 62,000 pounds

Let the number of 10-pound units in 62,000 pounds

62,000 / 10 = 6,200

On simplifying the equation , we get

Finally, we can calculate the toll by multiplying the number of 10-pound units by the rate of $0.01 per unit:

6,200 x $0.01 = $ 62.00

Hence , the amount of toll this truck should pay is $ 62.00

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Answer:

C

Step-by-step explanation:

The radicand x - 1 ≥ 0 ( add 1 to both sides )

x ≥ 1

Then

domain is [ 1, ∞ )

Answer: I Believe it forms a straight line

Step-by-step explanation:

if you have two Rays pointing two directions it should make a straight line with arrows at the end of each line

Answer: On a coordinate plane, the quadrants are defined as follows:

Quadrant I: x-coordinate is positive, y-coordinate is positive

Quadrant II: x-coordinate is negative, y-coordinate is positive

Quadrant III: x-coordinate is negative, y-coordinate is negative

Quadrant IV: x-coordinate is positive, y-coordinate is negative

Based on this information, the following statements are true:

A is in Quadrant I, because its coordinates are (2, 3) and both x and y are positive.

D is in Quadrant III, because its coordinates are (negative 3, negative 3) and both x and y are negative.

F is on the x-axis, because its y-coordinate is 0.

G is on the y-axis, because its x-coordinate is 0.

The other statements are not true:

B is not on the x-axis, because its y-coordinate is not 0.

C is not in Quadrant I, because its x-coordinate is negative.

E is not on the x-axis, because its y-coordinate is not 0.

Step-by-step explanation:

Answer:

0.5625 since 4.5 / 8 is that value

Step-by-step explanation:

0.5625

Answer:

A

Step-by-step explanation:

I took the test now that is what I got.

Hope this helps.

The function that represents the amount of radioactive substance left after {x} hours is : f(x)=100(0.15)ˣ.

Given is that the amount of a certain radioactive substance decreases by 15% every hour. A sample starts with 100 g of this radioactive substance.

The function that represents the amount of radioactive substance left after {x} hours is -

f(x)=100(0.15)ˣ

Therefore, the function that represents the amount of radioactive substance left after {x} hours is : f(x)=100(0.15)ˣ.

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In an assignment problem, each resource can perform only one task. The assignment problem is a linear programming problem that seeks to minimize the cost of assigning tasks to available resources.

An assignment problem is a combinatorial optimization problem in which a group of jobs must be assigned to a group of workers while minimizing the total cost of completing the jobs. This type of problem is solved using linear programming. In addition, there is a one-to-one matching between the set of jobs and the set of workers. The goal of an assignment problem is to find the optimal or best possible pairing of jobs to workers.To obtain the best possible solution, an optimal assignment algorithm can be utilized. There are four basic methods to solve the assignment problem: the Hungarian method, the matrix reduction method, the branch-and-bound method, and the Auction algorithm.

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a) The relevant population is the heavy soft-drink users in the given case, and the appropriate sampling design that should be used is  stratified random sampling. The list of all heavy soft-drink users is the sampling frame.

b) Cluster sampling refers to a sampling design where population is divided into naturally occurring groups and a random sample of clusters is chosen.

The advantages are efficient, easy to perform, and used when the population is widely dispersed. The disadvantages are sampling errors, have lower level of precision, and have the standard error of the estimate.

a) The relevant population for the public relations research department to investigate the initial reactions of heavy soft-drink users to a new all-natural soft drink is heavy soft-drink users. The appropriate sampling design that can be used to investigate the issues is stratified random sampling.

Stratified random sampling is a technique of sampling in which the entire population is divided into subgroups (or strata) based on a particular characteristic that the population shares. Then, simple random sampling is done from each stratum. Stratified random sampling is appropriate because it ensures that every member of the population has an equal chance of being selected.

Moreover, it ensures that every subgroup of the population is adequately represented, and reliable estimates can be made concerning the entire population. The list of all heavy soft-drink users can be the sampling frame.

b) Cluster sampling is a type of sampling design in which the population is divided into naturally occurring groups or clusters, and a random sample of clusters is chosen. The elements within each chosen cluster are then sampled.

The advantages of cluster sampling are:

The disadvantages of cluster sampling are:

A situation where cluster sampling would be appropriate is in investigating the effects of a new medication on various groups of people. In this case, the population can be divided into different clinics, and a random sample of clinics can be selected. Then, all patients who meet the inclusion criteria from the selected clinics can be recruited for the study. This way, the study will be less expensive, and it will ensure that the sample is representative of the entire population.

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Answer: 24 years old

Step-by-step explanation:

= (2x - 3)(x - 2)

= 2x² - 4x - 3x + 6

= 2x² - 7x + 6

Answer:

-14/15-1/15v

Step-by-step explanation:

First you make all of the fractions have the common denominator 15.

And then you have -18/15-6/15v+4/15+5/15v

Then you combine like terms to get -14/15-1/15v

Answer:

b = n + n

Step-by-step explanation:

The exact value of the expression is -1.

The expression involves tan 25° and tan 110°. The expression you provided is:

tan 25° + tan 110° / (1 - tan 25° tan 110°)

First, we need to recognize that tan (180° - x) = -tan x. Since 110° = 180° - 70°, we have:

tan 110° = -tan 70°

Now, we can rewrite the expression as:

tan 25° - tan 70° / (1 + tan 25° tan 70°)

Next, we can apply the tangent addition formula, which is:

tan (a - b) = (tan a - tan b) / (1 + tan a tan b)

Comparing this formula with our expression, we see that a = 25° and b = 70°. So, the expression simplifies to:

tan (25° - 70°) = tan (-45°)

Since tan (-x) = -tan x, we have:

tan (-45°) = -tan 45°

Lastly, we know that tan 45° = 1, so:

-tan 45° = -1

Therefore, the exact value of the expression is -1.

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Four non-coplanar planes define a space.

A line contains at least two points, and a plane contains at least three non-collinear points. Space contains at least four noncoplanar planes (points). The points or lines that lie on the same plane are called coplanar planes and hence the points that do not lie on the same plane are called non-coplanar planes. Any four points lie in at least one space, and any four non-coplanar points lie in exactly one space. If two distinct spaces intersect, then their intersection is a plane. if P is any point of one set and Q is any point in the other set, then the segment P-Q intersects the line. As seen in the figure, the space at least four noncoplanar planes distinguish a space.

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The cash balance at the end of June is $3000.

The amounts transferring from one account to another are said to be disbursements in accounting.

So, there are subtracted from the initial balance to get the current balance.

It is given that,

On June 1, 2021, Portugal inc. reported a cash balance of $12,000.

During June, Portugal made deposits of $5000 and made disbursements totaling $14,000.

The initial cash balance = $12,000

Made a deposit of $5000 = $12,000 + $50000

⇒ $17, 000

Also made disbursements of $14,0000

⇒ Cash balance at the end = $17,000 - $14,000 = $3000

Therefore, in the end, the cash balance is $3000.

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The probability that it will not rain on any of the homecoming parades during Amina's four years at the school is 0.410.

The probability that it will not rain on any of the homecoming parades during Amina's four years at the school can be calculated by first finding the probability that it will rain on a single parade, and then using that to find the probability that it will not rain on any of the parades.

Let's assume that the probability of it raining on a single parade is P. Then, the probability that it will not rain on a single parade is 1 - P.

Since there are four parades during Amina's time at the school, the probability that it will not rain on any of the parades is (1 - P)^4.

To find the final answer, we need to round the result to three decimal places. So, if the probability of it raining on a single parade is 0.2, the probability that it will not rain on any of the parades is (1 - 0.2)^4 = 0.4096, which rounds to 0.410.

Therefore, the probability that it will not rain on any of the homecoming parades during Amina's four years at the school is 0.410.

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The true average amount of warpage in all such pieces of laminate lies between 0.0609 and 0.0653 inches with 99% confidence.

a) To construct a 99% confidence interval for the average amount of warpage in all such pieces of laminate, we can use the formula:

CI = X ± Z × (s / √n)

where X is the sample mean warpage, Z is the Z-value from the table below, s is the sample standard deviation and n is the number of observations.

The Z-value for a 99% confidence interval is 2.576. (refer the image)

Plugging in the values we get:

0.0631 ± 2.576 × (0.0072 / √45)

= [0.0609, 0.0653]

b) To construct a 90% confidence interval for the average amount of warpage in all such pieces of laminate, we can use the same formula as above but with a different Z-value.

The Z-value for a 90% confidence interval is 1.645.

Plugging in the values we get:

0.0631 ± 1.645 × (0.0072 / √45)

= [0.0618, 0.0644].

c) Because we need to be more positive that our interval contains the genuine population mean as our confidence level rises, the interval for a 99% confidence level is greater than that for a 90% confidence level. This suggests that in order to account for all possible values of the population mean, we must widen our interval.

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The number we are looking for is x - 6.

To determine the number that, when subtracted from x, results in 6, we can set up the equation:

x - y = 6

Here, y represents the unknown number we are trying to find. To isolate y, we can rearrange the equation:

y = x - 6

Therefore, the number we are looking for is x - 6.

It's important to note that in mathematics, without specific values or additional information about x, we cannot determine a unique solution. The expression "6 - xx - 66 + x6 - ( x - 6)" you provided is not clear and does not allow us to solve for x or the unknown number directly. If you have specific values or additional context, please provide them, and I'll be glad to assist you further.

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Answer:

0.7

Step-by-step explanation:

Answer:

y=1/3x+2

Step-by-step explanation:

Because it is linear equation in 2 variables

The transitivity property is not satisfied, r is not an equivalence relation. Therefore, we do not need to list the equivalence classes. Hence, r is not an equivalence relation.

To determine if the relation r is an equivalence relation, we need to check if it satisfies the three properties: reflexivity, symmetry, and transitivity.

1. Reflexivity: For every element in the set X, there should be a pair (a,a) in r. In this case, we have (1,1), (2,2), (3,3), (4,4), and (5,5), which covers all elements in the set X. So, reflexivity is satisfied.

2. Symmetry: For every pair (a,b) in r, there should be a corresponding pair (b,a) in r. We have the pairs (1,3) and (3,1) in r, which satisfy symmetry. All other pairs are reflexive, so they also satisfy symmetry. Therefore, symmetry is satisfied.

3. Transitivity: For any pairs (a,b) and (b,c) in r, there should be a corresponding pair (a,c) in r. We have the pairs (1,3) and (3,1) in r, but there's no pair (1,1) or (3,3) in r. This violates the transitivity property.

Since the transitivity property is not satisfied, r is not an equivalence relation. Therefore, we do not need to list the equivalence classes.

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Answer:

3. x²+y²-6x+8y = 0 is the correct answer.

Step-by-step explanation:

Let the point P(x,y) be any point at locus of the circumference of the circle,

Let the center be A(3,-4).

now

AP = 5

or,

\( \sqrt{(x - 3) ^{2} + (y + 4)^{2} } = 5\)

or, (x-3)²+(y+4)² = 25

or, x²-6x+9+y²+8y+16 = 25

or, x²-6x+8y+y² = 25-25

so, x²-6x+8y+y² = 0

The rate of change of the function that has a graph that passes

through the points (-1, 3) and (-2,-4) is slope and is equal to 7.

We have given two points  (-1, 3) and (-2,-4) .

Rate of change of graph is given by slope

Using slope formula , we get

      m = -4 - 3 / -2 - (-1)

      m = -7 / -2 + 1

      m = -7 / -1

       m = 7

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Answer: (a−c)(b−c)>0

Step-by-step explanation:

ab>1 and ac<01. a>0 if c<0 and also b>02. a<0 if c>0 and also b<0

how i did it:

At the vert first, write the inequality as an equation.

Solve the provided equation for one or more values.

Now, display all the values obtained in the number line.

Use open circles to show the excluded values on the number line.

Find the interim.

At the moment, take any random value from the interval and substitute it in the inequality equation to check whether the values reassure the inequality equation.

Intervals that reassure the inequality equation are the solutions of the given inequality equation.

Answer:

$39

Step-by-step explanation:

Given parameters:

Cost of ingredient  = $9.75

Number of people  = 6 people

Unknown:

How much will it cost to serve 24 people  = ?

Solution:

To solve this problem, let us find the rate of each recipe per person;

 Rate  = \(\frac{Number of people }{Cost of ingredient}\)

Insert parameters and solve;

 Rate = \(\frac{6}{9.75}\)   = 0.62people/$

For 24 people, it will cost;

  Cost of ingredient  = \(\frac{Number of people }{rate}\)  

 Cost of ingredient  = \(\frac{24}{0.62}\)   = $39

Answer:

39

Step-by-step explanation:

edu asinment 100 % no flex