What is the percent of decrease from 98. 7 to 0?

Therefore , the solution of the given problem of unitary method comes out to be hourly salary of $144, or 12 times the average hourly wage of $12 for phone reps.

This common convenience, already-existing variables, or all important elements from the original Diocesan adaptable study that followed a particular methodology can all be used to achieve the goal. Both of the crucial elements of a term affirmation outcome will surely be missed if it doesn't happen, but if it does, there will be another chance to get in touch with the entity.

Here,

The formula below can be used to determine the ideal amount of phone representatives:

=>  MR = MC

Where n is the amount of phone reps and 12 is their hourly wage, the cost is given by C = 12n.

The following results are obtained by taking the derivative of revenue and cost with regard to n:

=> MR=dR/dn = k

=>  dC/dn = 12 for MC.

When we set MR equal to MC, we obtain:

=> k = 12

Accordingly, Vi should hire as many phone representatives as are required to produce an hourly salary of $144, or 12 times the average hourly wage of $12 for phone reps.

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The variance is 7.2.

We can use the binomial distribution formula to calculate the variance. The formula for the variance of a binomial distribution is

Variance = n × p × (1 - p)

where n is the number of trials, p is the probability of success on each trial, and (1 - p) is the probability of failure on each trial.

In this case, n = 30 (the number of homes on the route), p = 0.48 (the probability of a home having a dog), and (1 - p) = 0.52 (the probability of a home not having a dog).

The postal employee encountered 12 dogs, which means there were 18 homes without dogs. So, the actual probability of success in this case is

P(dogs) = 12/30 = 0.4

Using the formula above, we can calculate the variance

Variance = n × p × (1 - p)

= 30 × 0.4 × 0.6

= 7.2

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The nature of formula (Permutations or Combinations) for each scenario is the following:

1) Permutations ; 2) Combination

3) Combination ; 4) Permutations

5)Permutations ; 6)Combination

7) Combination ; 8)Combination 9)Combination ; 10)Combination.

Permutations formula: Permutation is considered an ordered combination. The general formula for this is,

P(n, r) = n! /(n-r)!

Combination formula: It is considered arrangement ways but without ordered combination. The general formula for this is C(n, r) = n!/ (n-r)! r!

Now, we have provide some situations and we have to resolve them.

1) Determining the top three winners ing Science Quiz have to Bee is an example of Permutation as here we just arrange the position for top winners.

2) Forming lines from six given points with no three of which are collinear, is an example of combination because only pair of points is needed.

3) It will be a combination as here we select 3 points to make a triangle user.

4) Four people posing for pictures is an example of Permutation as oder does not matter.

5) Assembling a jigsaw puzzle is an example of Permutations.

6) As here we choose 2 household chores so it is a combination.

7) Selecting 5 basketball players out of 10 team members for the different positions members it is a combination.

8) Choosing three friend for birthday party is combination formula.

9) Picking 6 balls from a basket by 12 balls is combination formula.

10) Forming a committe of 5 members from do people 20 combinations people.

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Complete question:

P- Permutations or C- Combinations.

1. Determining the top three winners in a Science Quiz Bee

2. Forming lines from six given points with no three of which are collinear

3. Forming triangles from 7 given points with no three of which are collinear

4. Four people posing for pictures

5. Assembling a jigsaw puzzle

6. Choosing 2 household chores to do before dinner

7. Selecting 5 basketball players out of 10 team members for the different positions

8. Choosing three of your classmates to attend your party

9. Picking 6 balls from a basket of 12 balls

10. Forming a committee of 5 members from 20 people

The expression (1 + 1 / 18)¹⁸ represents the number closest to irrational number e. (Correct choice: A)

This problem ask us to determine what expression is closest to irrational number e. A number is irrational when it cannot be represented by numbers of the form m / n, where m and n are integers and n is non-zero. The number e can be defined by the following limit:

[tex]e = \lim_{x \to \infty} \left(1 + \frac{1}x}\right)^{x}[/tex], where x is a natural number.

According to this definition, the greater the value of x is, the closer the result to irrational number e is. Therefore, the following expression is closest to the given irrational number:

x = 18

e = (1 + 1 / 18)¹⁸

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The length of the minute hand of the clock is given as follows:

10.6 inches.

Suppose that we have two points of the coordinate plane, and the ordered pairs have coordinates [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].

The shortest distance between them is given by the equation presented as follows, derived from the Pythagorean Theorem:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The ordered pairs for this problem are given as follows:

(0,0) and (7.5, 7.5).

Hence the distance between the two points, representing the length of the minute hand, is given as follows:

d = sqrt(7.5² + 7.5²)

d = 10.6 inches.

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The standard deviation for the number of people with the genetic mutation in a group of 1000 individuals is approximately 4.89.

To find the standard deviation for the number of people with a particular genetic mutation in a group of 1000 individuals, we first need to understand the concept of binomial distribution.

Binomial distribution is a statistical probability distribution that represents the number of successes in a fixed number of independent trials, where each trial has only two possible outcomes (success or failure).

In this case, the probability of success (having the genetic mutation) is 0.04, and the probability of failure (not having the mutation) is 0.96. Thus, we can model the number of people with the mutation in a group of 1000 individuals using a binomial distribution with n = 1000 and p = 0.04.

The formula for the standard deviation of a binomial distribution is:

σ = √(np(1-p))

Where σ is the standard deviation, n is the number of trials, and p is the probability of success. Plugging in the values, we get:

σ = √(1000 x 0.04 x 0.96) = 4.89

In other words, we can expect that the number of people with the genetic mutation in a group of 1000 individuals will vary around the mean of 40 (1000 x 0.04) by about 4.89, with about 68% of the observations falling within one standard deviation of the mean.

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The volume of the ball is 9π (optionC)

A sphere is symmetrical, round in shape. It is a three dimensional solid, that has all its surface points at equal distances from the center.

The ball takes the shape of the sphere. The volume of a sphere is therefore calculated as ;

V = 4/3 πr³

r = d/2 = 3.8/2 = 1.9

V = 4/3 × π × 1.9³

V = 27.44 π/3

V = 9π ( nearest whole number)

therefore the volume of the ball is 9π (nearest whole number)

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Answer:33

Step-by-step explanation:45-12=33

Answer:

there

Step-by-step explanation:

2,364 ÷ 57 ≈ 41. Therefore, Hannah made 41 full bags of candy.

To solve this problem, we use integer division to find the number of full bags Hannah made. We divide the total number of candy pieces by the number of pieces in each bag and take the integer part of the result. This is because we are only interested in the number of full bags, not partial bags. In this case, we have 2,364 pieces of candy and each bag holds 57 pieces, so 2,364 ÷ 57 ≈ 41. This means that Hannah made 41 full bags of candy.

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In linear equation, The actual height of the statue is 300 feet.

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.  

                                  Equations with variables of power 1 are referred to as linear equations. One example with only one variable is where ax+b = 0, where a and b are real values and x is the variable.

A scale factor of a famous statue uses a scale factor of 250:1. If the height of the drawing is 1.2 feet, what is the actual height of the statue?

= 1.2 x 250

The actual height of the statue is 300 feet.

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Answer:(D) 300

Step-by-step explanation: the scale factor is 250:1 and the Hight of the drawing is 1.2 feet you need to multiply 1.2 by 250

1.2 x 250 = 300

The two numbers are 6 and 2.

Let's assume the first number is x and the second number is y.

From the first statement, we can write the equation x = y + 4.

From the second statement, we can write the equation 2x = 4y + 2.

Now, we can substitute x in terms of y from the first equation into the second equation:

2(y + 4) = 4y + 2

Simplifying this equation, we get:

2y + 8 = 4y + 2

2y = 6

y = 3

Substituting y = 3 in the first equation, we get:

x = y + 4 = 3 + 4 = 7

Therefore, 6 and 2 are the two numbers,


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Since GM is tangent tο circle O at pοint G, the intercepted arc GE has measure zerο. ,then ∠SGM = 84°.

Secant line is alsο knοwn as average rate οf change οf functiοns between twο pοints and alsο called slοpe.

the tangent line is perpendicular tο the radius that passes thrοugh the pοint οf tangency. Therefοre, we have:

m∠MGS = 90°

Alsο, we knοw that the measure οf an angle fοrmed by a tangent line and a secant line that intersect οutside the circle is half the difference οf the intercepted arcs.

m∠SGM = 1/2 (mSE - mGE)

where SE is the intercepted arc by secant GS, and GE is the intercepted arc by tangent GM.

Since GM is tangent tο circle O at pοint G, the intercepted arc GE has measure zerο.

mSE = 2mGS

mSE = 2(84°) = 168°

m∠SGM = 1/2 (mSE - mGE) = 1/2 (168° - 0°) = 84°

Therefοre, m∠SGM = 84°.

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Each student should receive 1/2 kg of soil.

To find out how much soil each student will have, we need to first add up the total amount of soil collected and then divide it equally among the 10 students.

Let's start by converting all the amounts of soil to a common unit, such as kilograms:

3 students brought 1/4 kg each, so they brought a total of 3/4 kg.

4 students brought 1/2 kg each, so they brought a total of 2 kg.

3 students brought 3/4 kg each, so they brought a total of 2 1/4 kg.

Adding up these amounts, we get:

3/4 + 2 + 2 1/4 = 5 kg

So the total amount of soil collected is 5 kg.

To redistribute this soil equally among the 10 students, we need to divide it by 10:

5 kg ÷ 10 = 1/2 kg per student

Therefore, each student should receive 1/2 kg of soil.

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the expected gain is $0.77, rounded to the nearest cent.The expected gain is the sum of the products of the probability of each outcome and its corresponding payoff.

There are 4 jacks, 4 queens, 4 kings, and 4 aces in a standard 52-card deck. So the probability of drawing a jack or a queen is 8/52 = 2/13, and the probability of drawing a king or an ace is also 8/52 = 2/13. The probability of drawing any other card is 1 - 2/13 - 2/13 = 9/13.

The expected gain is the sum of the products of the probability of each outcome and its corresponding payoff. So:

Expected gain = (2/13) * 19 + (2/13) * 5 + (9/13) * (-2)

Expected gain = 38/13 - 10/13 - 18/13

Expected gain = 10/13 ≈ 0.77

Therefore, the expected gain is $0.77, rounded to the nearest cent.

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The mean of a normal distribution is calculated by taking the sum of all the values and dividing it by the total number of values. In this case, the values were between 5.8 and 10.6, and the total number of values was 95.4%

The mean of a normal distribution is calculated by taking the sum of all the values and dividing it by the total number of values. In this case, the values are between 5.8 and 10.6, and the total number of values is 95.4%.

To calculate the mean, we must first calculate the sum of all the values. To do this, we will use the following formula:

sum of values = (lowest value + highest value) / 2

In this case, the lowest value is 5.8 and the highest value is 10.6, so the sum of values is 8.2.

We now have the sum of all the values, so we can calculate the mean by dividing the sum by the total number of values. The total number of values is 95.4%, so the mean is 8.2 / 0.954 = 8.57.

Therefore, the mean of the normal distribution is 8.57.

In conclusion, the mean of a normal distribution is calculated by taking the sum of all the values and dividing it by the total number of values. In this case, the values were between 5.8 and 10.6, and the total number of values was 95.4%. When the sum of all the values (8.2) was divided by the total number of values (0.954), the mean was calculated to be 8.57.

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The angle of x in the given circle is 51 degrees.

In the case when a tangent line and a secant line originate from the same external point, the mean of the exterior angle is equal to half the difference between the major arc and the minor arc that are created by the tangent and secant lines.

From the given figure we observe that the secant line and tangent line start from the same exterior angle.

Thus, according to the theorem of secant and tangent line of circle we have:

angle x = (DA - DB) /2

angle x = (178 - 76) / 2

angle x = 102 /2

angle x = 51 degrees.

Hence, the angle of x in the given circle is 51 degrees.

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Answer:

33

Step-by-step explanation:

43-10=33 sarah has 33 bananas ledt

The point that partitions segment AB in a 1:4 ratio is (-1, -0.4).

In this scenario, line ratio would be used to determine the coordinates of the point Q on the directed line segment AB that partitions the segment into a ratio of 1 to 4.

In Mathematics, line ratio can be used to determine the coordinates of Q and this is modeled by the following mathematical expression:

Q(x, y) = [(mx₂ + nx₁)/(m + n)],  [(my₂ + ny₁)/(m + n)]

Substituting the given parameters into the line ratio formula, we have;

Q(x, y) = [(1(7) + 4(-3))/(1 + 4)],  [(1(-10) + 4(2))/(1 + 4)]

Q(x, y) = [(7 - 12)/(5)],  [(-10 + 8)/5]

Q(x, y) = [-5/5],  [(-2)/(5)]

Q(x, y) = [-1, -2/5]

Q(x, y) = [-1, -0.4]

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Answer: 14x + 10

Step-by-step explanation: The perimeter of the room without the door can be found by adding up the lengths of all four sides:

Perimeter = 2(4x-1) + 2(3x+6)

Simplifying and combining like terms, we get:

Perimeter = 14x + 10

Therefore, the perimeter of the room without the door in simplest form is 14x + 10.

8. Spread = SD = sqrt(2*df)

9. The difference between the observed and expected frequencies of the outcomes of a set of events or variables.

10. Degrees of 1 freedom does the chi-square distribution.

11.  The rule of thumb for all expected counts in a chi-square goodness of fit test is expected counts must be at least 5.

8. Describe the center and spread of the chi-square distributions.

Shape - skewed right because can't be zero

µ = df = tipping point

mode = df - 2 = peak

spread = SD = sqrt(2*df)

9. Chi-square test is a non-parametric test (a non-parametric statistical test is a test whose model does not specify conditions about the parameter of the population from which the sample is drawn.). It is used for identifying the relationship between a categorical variable and denoted by χ2.

10. A chi-squared distribution constructed by squaring a single standard normal distribution is said to have 1 degree of freedom. Thus, as the sample size for a hypothesis test increases, the distribution of the test statistic approaches a normal distribution.

11. The rule of thumb for all expected counts in a chi-square goodness of fit test is expected counts must be at least 5.

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The area of the polygon with vertices P(1,2), Q(1,4), R(-1,6), and S(-3,2) is given as 10 units. Option B

We can find the area of the polygon with the given vertices by dividing it into triangles and adding their areas.

One way to divide the polygon into triangles is to draw a diagonal from vertex P to vertex R. This creates two triangles, PQR and PRS.

[tex]\frac{1 }{2} ((4 - 2) + (6--4) + (-2 - - 18) + (-6 - 2)[/tex]

= 1 / 2 ( 2 + `10 + 16 - 8)

= 1 / 2 ( 20

= 10

The area of the polygon is 10 units

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Answer:

Step-by-step explanation:

asdf

Answer:

3

Step-by-step explanation:

Number of people in the choir = 80

Number of women = half of 80 = 40

Number of men in the choir is ¼ of the women = 40/4 = 10

Number of men plus women = 10 +40 = 50

Number of children = 80 - 50 = 30

Ratio of children to men = n:1 = 30:10

Divide both sides by 10

30:10 = 3:1

n = 3

Answer:

angle "E" =70°

Step-by-step explanation:

<ABC=<ADC

<ADC=<EAD (alternate angles)

<EAD=<DEA (because /DA/=/DE/

and <DEA=angle E, therefore answer=70°

The length of dDC is 16 cm. We can use the similarity of triangles ACD and ABE to find the length of DC.

We know A,B and c lie on a straight line segment A , E and d lie on a straight line segment

Substituting the given values, we get:

Simplifying the equation, we get:

AD = 20

Now, we can use the similarity of triangles ACD and ABE again, to find the length of DC.

CD/BE = AD/AE

Substituting the values, we get:

CD/4 = 20/(20+5)

Simplifying the equation, we get:

CD = 16

Therefore, the length of dDC is 16 cm.

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The conditions does the function f(x) to meet in order to be able to use the integral test to verify convergence or divergence is

1) f(x) must be continuous, positive, and decreasing for all x greater than some fixed value N.

2) The series to be tested must have non-negative terms.

3) The integral of f(x) from N to infinity must converge or diverge.

To use the integral test to verify the convergence or divergence of an infinite series, the following conditions must be met for the function f(x)

1) f(x) must be continuous, positive, and decreasing for all x greater than some fixed value N.

2) The series to be tested must have non-negative terms.

3) The integral of f(x) from N to infinity must converge or diverge.

If these conditions are met, then the integral test can be used to determine whether the series converges or diverges. Specifically, if the integral of f(x) converges, then the series converges. On the other hand, if the integral of f(x) diverges, then the series also diverges.

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To locate the stations and draw cirradius cles on the map of California, follow these steps:

1. Identify the city stations on the map: Find the city stations indicated on the map, such as San Francisco, Los Angeles, and San Diego.

2. Use a compass: Set your compass to the scale provided on the map.

For example, if the scale says 1 inch = 100 km, adjust your compass accordingly.

3. Determine the distance from the epicenter: Based on the information provided, determine the distance from each city station to the epicenter. If it is not provided, refer to additional resources or data.

4. Draw the circles: Place the compass point on each city station and draw a circle with a corresponding to the distance determined in

step 3. Ensure the radius is in scale with the map.

5. Identify the epicenter: The point where all the circles intersect is the approximate location of the epicenter.

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