A collection agent earns a fixed amount for each call that he makes, as
shown in the graph below.

If the collection agent makes 11 calls, how much will he earn in total?

Answer: 5020

Step-by-step explanation:

10^3= 1000

1000*5.02=5020

Answer:

363 (d)

Step-by-step explanation:

Sum = (a1+an)(n)/2

n = (an-a1)/d +1 = 11

Plug into the sum formula.

Sum = 363

Answer:

Step-by-step explanation:

[tex] \frac{x {}^{2} }{3y} \div \frac{3x}{2y} \\ \frac{x {}^{2} }{3y} \times \frac{2y}{3x} \\ \frac{x {}^{2} }{3} \times \frac{2}{3x} \\ \frac{x}{3} \times \frac{2}{3} = \frac{2x}{9} [/tex]

The test statistic based on the probability illustrated is -2.57.

The basic training is given as 103 hours. The variance is also given as 9.

The test statistic will be:

= (102 - 104/3/✓60)

= -1/(3/7.7)

= -2.57.

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Answer:

Step-by-step explanation:

Find the circumference:

Find the distance covered by 9 turns:

Convert inches to feet:

Factorize and get the value of x and then substitute into any of the equation to get the solution in coordinate form (x, y)

For us to determine if a set of inequality  function has a solution, we will equate the functions and determine the point of intersection if there are any,

Given the inequalities

y ≤ x^2 - 3

y > -x^2 + 2

Equate

x^2 - x = -x^2 + 2

Collect like terms

2x^2 - x - 2 = 0

In order to determine the value of x, we will factorize and get the value of x and then substitute into any of the equation to get the solution in coordinate form (x, y)

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The support pole must be approximately 7.8 meters long.

Based on all the information given in the statement, we prepare a geometric diagram that describes the system formed by the high-security fence and the support pole. The representation is attached below. Lastly, the length of the pole is found by using the law of sines:

l/sin 84° = 6 m /sin 50°

l = 6 m × (sin 84°/sin 50°)

l ≈ 7.790 m

The support pole must be approximately 7.8 meters long.

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Answer: 1/3

Step-by-step explanation:

-1/9 / -1/3 = ?

Keep: -1/9

Change: *

Flip: -3/1

Solve: -1/9 * -3/1 = 3/9

Simplify: 1/3

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Equation:}[/tex]

[tex]\mathsf{-\dfrac{1}{9}\div - \dfrac{1}{3}}[/tex]

[tex]\huge\textbf{Simplify it:}[/tex]

[tex]\mathsf{-\dfrac{1}{9}\div - \dfrac{1}{3}}[/tex]

[tex]\huge\textsf{Convert:}[/tex]

[tex]\mathsf{= -\dfrac{1}{9} \times -\dfrac{3}{1}}[/tex]

[tex]\huge\textsf{Multiply:}[/tex]

[tex]\mathsf{= \dfrac{-1\times3}{9\times -1}}[/tex]

[tex]\mathsf{= \dfrac{-3}{-9}}[/tex]

[tex]\mathsf{= \dfrac{-3 \div -3}{-9\div-3}}[/tex]

[tex]\mathsf{= \dfrac{1}{3}}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\frak{\dfrac{1}{3}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer: draw the line using a ruler on which you have identified points 2 7/16 inches apart.  

Step-by-step explanation:    On your ruler graduated in inches with marks at 1/16-inch intervals, locate the 0 mark and the mark 1/16 inch before the half-inch mark between 2 and 3 inches.Draw your line along the edge of the ruler between the two marks you have identified: 0 and 2 7/16. The line will be 2 7/16 inches long.

[tex]\large\displaystyle\text{$\begin{gathered}\sf \left(\frac{4}{10}\times x\right)-(2 \times x)+\frac{8}{5}=\frac{4}{5} \end{gathered}$}[/tex]

Reduce the fraction 4/10, to its minimum expression, extracting and canceling 2.

Combine [tex]\bf{\frac{2}{5}x }[/tex] and -2x to get [tex]\bf{-\frac{8}{5}x}[/tex].

Subtract 8/5 from both sides.

Since 4/5 and 5/8 have the same denominator, join their numerators to subtract them.

Subtract 8 from 4 to get -4.

Multiply both sides by [tex]\bf{-\frac{5}{8}}[/tex], the reciprocal of [tex]\bf{-\frac{5}{8}}[/tex].

Multiply -4/5 by -5/8 (to do this, multiply the numerator by the numerator and the denominator by the denominator).

Reduce the fraction 20/40 to its lowest expression by extracting and canceling 20.

Answer:

8

Step-by-step explanation:

The cos of 30 is [tex]\sqrt{x}[/tex] / 2.  Since the adjacent angle is 4 times that.  We would multiply 2 x 4 and get 8

The expression that could be used to add 3/4+1/6 is  [tex]\frac{9 + 2}{12}[/tex]

The sum expression is given as:

3/4 + 1/6

Rewrite properly as:

[tex]\frac 34 + \frac 16[/tex]

Take the LCM.

The LCM of 4 and 6 is 12.

So, we have:

[tex]\frac{9 + 2}{12}[/tex]

Hence, the expression that could be used to add 3/4+1/6 is  [tex]\frac{9 + 2}{12}[/tex]

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= 4×8 +2×3 -1+9

___________

20

= 8+6-9

_______

20

= 14 - 9

_______

20

= 5

____

20

Answer:

b

Step-by-step explanation:

the mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

         = [tex]\frac{5+8+12+6+7+10+14+6+13}{9}[/tex]

         = [tex]\frac{81}{9}[/tex]

         = 9

Answer:

9

Step-by-step explanation:

The mean is also known as the average. To find it, we add up all of the data and divide it by how many numbers were added.

5 + 8 + 12 + 6 + 7 + 10 + 14 + 6 + 13 = 81

81/9 = 9

Brainliest, please :)

Answer:

61 portions

Step-by-step explanation:

First, the conversion between gallon and ounces is:

1 Gallon = 153.722 ounces (oz)

GIven 1 portion of waffles requires 2.5 ounces of milk

Number of portions of waffles = Total amount of milk / milk required per portion of waffles

= 153.722 / 2.5

= 61.489 portions

Of course, we are unable to make part portions in this case, so we will take the highest possible whole number, which is 61 portions.

Answer:

x = 12

Step-by-step explanation:

6x - 4 and 112 are same- side interior angles and sum to 180° , that is

6x - 4 + 112 = 180

6x + 108 = 180 ( subtract 108 from both sides )

6x = 72 ( divide both sides by 6 )

x = 12

Answer:

x = 12

Step-by-step explanation:

Consecutive Interior Angles Theorem

When a straight line intersects two parallel straight lines, the consecutive interior angles formed are are supplementary (sum to 180°).

Therefore:

⇒ 6x - 4 + 112 = 180

⇒ 6x + 108 = 180

⇒ 6x + 108 - 108 = 180 - 108

⇒ 6x = 72

⇒ 6x ÷ 6 = 72 ÷ 6

⇒ x = 12

Answer:

Step-by-step explanation:

Discussion

i has to appear somewhere. That lets D and B out. They are both wrong.

C has only one i. It can't be right either. You need 2 i-s which will multiply to +1 when squared. That leaves you with a.

The way a is written, it can't be the answer either. For one thing, that 2 makes the answer question at best.

I would say there is no correct answer. Could you check the question? Also it would be a good idea to ask your instructor how this works, in case I'm wrong.

Answer:

Graphs A and B

Step-by-step explanation:

Graphs A & B are using x-values 1-6 and stop there, which is what the domain is trying to find. Though, for the other graphs, these graphs are rather starting at 1 via the domain, while not going up to 6 on the domain.

Answer:

18

Step-by-step explanation:

When dilating a segment by a scale factor, we multiply the original length by the scale factor to find the length.

2*9 = 18

The sales price of the jacket is $140.

A price markdown is a planned decrease in the retail item's selling price. It is used to accelerate an item's sales rate, usually for clearing at the closing of a season or to get rid of outdated goods when their useful lives have passed.

Markdown prices are reductions in a product's selling price from its initial selling price expressed as a rate called markdown percentage. Markdown prices are more commonly referred to as discounts. 

From the given information:

Then the sales price of the jacket is:

= $175 - (20% of $175)

=$175 -  $35

= $140

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The exponential equation of the model is A(t) = 2583 * 0.88^t and the multiplier means that the number of new cases in a week is 88% of the previous week

The given parameters are:

New, A(t) = 2000

Rate, r = 12%

The function is represented as:

A(t) = A * (1 - r)^t

So, we have:

2000 = A * (1 - 12%)^t

This gives

2000 = A * (0.88)^t

2 weeks ago implies that;

t = 2

So, we have:

2000 = A * 0.88^2

Evaluate

2000 = A * 0.7744

Divide by 0.7744

A = 2583

Substitute A = 2583 in A(t) = A * 0.88^t

A(t) = 2583 * 0.88^t

Hence, the exponential equation of the model is A(t) = 2583 * 0.88^t

In this case, the multiplier is 88% or 0.88

This means that the number of new cases in a week is 88% of the previous week

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Then the x-intercept of the inverse is the same as the y-intercept of f(x), this means that the correct statement is the third option.

On the image, we can see two linear equations, such that the orange one is f(x) and the blue one is the inverse.

Then the x-intercept of the inverse is the same as the y-intercept of f(x), this means that the correct statement is the third option.

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The average annual rainfall will be more than 40.6 inches in about 2.1 percent of the years.

Generally, the equation for the probability is mathematically given as

[tex]P( X < x) = p( Z < x - \mu / \sigma)[/tex]

Therefore

[tex]P( X > x) = 0.021[/tex]

[tex]P( X < x ) = 1 - 0.021\\\\\p( X < x) = 0.979[/tex]

[tex]P( Z < x - \mu / \sigma) = 0.979[/tex]

The z score for the probability of 0.979 is 2.034, according to the table of z values.

[tex]x - \mu / \sigma \\\\x= 2.034[/tex]

In the given equation, replace the values of mu and sigma with their respective values, and then solve for x.

[tex]x - 35.5 / 2.5 \\x= 2.034[/tex]

In conclusion, The average annual rainfall will be more than 40.6 inches in about 2.1 percent of the years.

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The IQ score of 122.5 is about 1.5 standard deviations above the mean.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.

The z score is given by:

z = (raw score - mean) / standard deviation.

Given a mean of 100 and standard deviation of 15. The IQ score that is 1.5 standard deviations above the mean corresponds to a z score of 1.5, hence:

1.5 = (x - 100)/15

x = 122.5

The IQ score of 122.5 is about 1.5 standard deviations above the mean.

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Answer:

8,974 dollars

Step-by-step explanation:

y=2650.(1.05)^x

x=25

2650(1.05)^25 = 8974 dollars

Answer: 2/7

Step-by-step explanation:

The total amount of pocket money he has is 7/7.

He spent 3/7 of his pocket money during the first week.

He then spends 2/3 of what he spent the previous week, 2/3 * 3/7 which is 2/7.

What he has left is 7/7 - 3/7 - 2/7 = 2/7.

The time taken for 3 machines to pack 5000 articles is 8 hours.

It is given that,

A machine can pack 5000 articles in 24 hours. I.e,

1 machine → 5000 articles → 24 hours

3 machines → 5000 articles → 24/3 hours

Thus, 3 of such machines can pack the same number of articles in

24 ÷ 3 = 8 hours.

Therefore, 3 of such machines take 8 hours to pack 5000 articles.

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