A company's sales force makes 500 sales calls, with 0.18 probability that a sale will be made on a call. What is the probability that less than 85 sales will be made

Answer:

6+3

Step-by-step explanation:

Answer:

- 3.21

Step-by-step explanation:

The value of angle Z is 81°. Thus, option C is correct.

Given that the value of angle A is 32° and the value of angle B is 67°. We need to find the value of angle Z. Before solving the question let us have a quick glance over the concept of angle sum property.

Angles sum property states that the sum of angles of a triangle is 180°.  

A + B + Z = 180°Now substituting the given values in the equation we get,32° + 67° + Z = 180°⇒ 99° + Z = 180°Now we will transfer the constant term to the RHS.99° + Z - 99° = 180° - 99°⇒ Z = 81°

In order to solve the question, we have used the concept of the angle sum property. This property is used to find the sum of angles in a triangle. Any triangle has three angles and the sum of these three angles is always equal to 180°.

This concept helps us to form equations for the given values of angles. Further, these equations can be solved to find the unknown angles in the triangle.

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Answer:

Monthly salary: $5,617; Weekly salary: $1,296

Step-by-step explanation:

Since there are 12 months in a year, you would divide the number of months by the salary.

67400/12x≈5617

The monthly salary is about $5,617.

Since there are about 52 weeks in a year, you would divide the number of weeks by the salary.

67400/52x≈1296

The weekly salary is about $1,296.

Given:

given solution is (0,3)

check for sol. put the value in equation then:

for another equation :

so the solution of x and y is right.

Answer:

See below ↓

Step-by-step explanation:

Measures of the angles are equal 360° (total degree measure) - [∠G + ∠E]

Answer:

It adds by +5

Step-by-step explanation:

Answer:

8x³ - 2x² - 51x - 45

Step-by-step explanation:

Given

(x - 3)(2x + 3)(4x + 5) ← expand second/third factors using FOIL

= (x - 3)(8x² + 22x + 15) ← distribute

= x(8x² + 22x + 15) - 3(8x² + 22x + 15) ← distribute parenthesis

= 8x³ + 22x² + 15x - 24x² - 66x - 45 ← collect like terms

= 8x³ - 2x² - 51x - 45

Answer:

8x^3-2x^2-51x-45

Step-by-step explanation:

(x − 3)(2x + 3)(4x + 5)

(2x^2+3x-6x-9)*(4x+5)

(2x^2-3x-9)*(4x+5)

= 8x^3-2x^2-51x-45

Ther solution of the following inequalities are

a) x < -6/11

b) w ≤ -7 or w ≥ -3

For inequality (a), let's simplify the expression on both sides. Distribute the constants within the parentheses:

6x + 2(4 - x) < 11 - 3(5 + 6x)

6x + 8 - 2x < 11 - 15 - 18x

Combine like terms on each side:

4x + 8 < -4 - 18x

Move the variables to one side and the constants to the other:

22x < -12

Divide by the coefficient of x, which is positive, so the inequality does not change:

x < -12/22

Simplifying further, we get:

x < -6/11

Thus, the solution for inequality (a) is x < -6/11.

For inequality (b), we start by isolating the absolute value expression:

2|3w + 15| ≥ 12

Since the inequality involves an absolute value, we consider two cases:

Case 1: 3w + 15 ≥ 0

In this case, the absolute value becomes:

2(3w + 15) ≥ 12

Simplify and solve for w:

6w + 30 ≥ 12

6w ≥ -18

w ≥ -3

Case 2: 3w + 15 < 0

In this case, the absolute value becomes:

2(-(3w + 15)) ≥ 12

Simplify and solve for w:

2(-3w - 15) ≥ 12

-6w - 30 ≥ 12

-6w ≥ 42

w ≤ -7

Thus, the solution for inequality (b) is w ≤ -7 or w ≥ -3.

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Answer:

3x-8

Step-by-step explanation:

Use synthetic division:

5 | 3 -23 40

____ 15 -40_

    3  -8 | 0

Hence, another factor of the polynomial is 3x-8

To calculate the duration of the shift, you need to subtract the clock-in time from the clock-out time.

In this case, the shift worker clocked in at 1730 hours (5:30 PM) and clocked out at 0330 hours (3:30 AM). However, since the clock is based on a 24-hour format, it's necessary to consider that the clock-out time of 0330 hours actually refers to the next day.

To calculate the duration of the shift, you can perform the following steps:

1. Calculate the duration until midnight (0000 hours) on the same day:

  - The time between 1730 hours and 0000 hours is 6 hours and 30 minutes (1730 - 0000 = 6:30 PM to 12:00 AM).

2. Calculate the duration from midnight (0000 hours) to the clock-out time:

  - The time between 0000 hours and 0330 hours is 3 hours and 30 minutes (12:00 AM to 3:30 AM).

3. Add the durations from step 1 and step 2 to find the total duration of the shift:

  - 6 hours and 30 minutes + 3 hours and 30 minutes = 10 hours.

Therefore, the duration of the shift was 10 hours.

The solution to the given differential equation 2xy(dy/dx) = y², with the initial condition y(2) = 3, is y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\).

To solve the given differential equation

2xy(dy/dx) = y²

We will use separation of variables and integrate to find the solution.

Start with the given equation

2xy(dy/dx) = y²

Divide both sides by y²:

(2x/y) dy = dx

Integrate both sides:

∫(2x/y) dy = ∫dx

Integrating the left side requires a substitution. Let u = y², then du = 2y dy:

∫(2x/u) du = ∫dx

2∫(x/u) du = ∫dx

2 ln|u| = x + C

Replacing u with y²:

2 ln|y²| = x + C

Using the properties of logarithms:

ln|y⁴| = x + C

Exponentiating both sides:

|y⁴| = \(e^{x + C}\)

Since the absolute value is taken, we can remove it and incorporate the constant of integration

y⁴ = \(e^{x + C}\)

Simplifying, let A = \(e^C:\)

y^4 = A * eˣ

Taking the fourth root of both sides:

y = (A * eˣ\()^{1/4}\)

Now we can incorporate the initial condition y(2) = 3

3 = (A * e²\()^{1/4}\)

Cubing both sides:

27 = A * e²

Solving for A:

A = 27 / e²

Finally, substituting A back into the solution

y = ((27 / e²) * eˣ\()^{1/4}\)

Simplifying further

y = (27 *  e⁽ˣ⁻²⁾\()^{1/4}\)

Therefore, the solution to the given differential equation with the initial condition y(2) = 3 is

y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\)

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When x^3+2x^2+x+1 is divided by (x+1) then remainder is 1.

In the given question, we have to find what is remainder when x^3+2x^2+x+1 is divided by (x+1).

To find the remainder there are two ways. First we divide the x^3+2x^2+x+1 by (x+1). Second we find the value of from (x+1) by equating (x+1) equal to zero. The put the value of x in the expression x^3+2x^2+x+1.

In this we ca easily find the remainder.

Now we firstly find the value of x;

(x+1) = 0

Subtract 1 on both side we get;

x= −1

Now put x= -1 in the expression x^3+2x^2+x+1.

x^3+2x^2+x+1 = (−1)^3+2(−1)^2+(−1)+1

x^3+2x^2+x+1 = −1+2−1+1

x^3+2x^2+x+1 = 1

Hence, when x^3+2x^2+x+1 is divided by (x+1) then remainder is 1.

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The right question is:

What is remainder when x^3+2x^2+x+1 is divided by (x+1)?

I hope this helps you

Answer:

To begin to answer your question you would need to know that the formula for the volume of a rectangular prism is the following: \(V=lwh\). Now its just a manner of substitutions.

Step-by-step explanation:

\(V=605 \text{in}^3\)

Then one can also state the following:

\(V=(x+2)(4x-1)(2x+5)\)

Following up with this substitution:

\(605=(x+2)(4x-1)(2x+5)\)

Proceeding with a FOIL procedure:

\(605=(4x^2+8x-x-2)(2x+5)\)

\(605=8x^{3}+34x^{2}+31x-10\)

\(0=8x^{3}+34x^{2}+31x-615\)

Using PRZs:

\(PRZs=\frac{\text{Factors of Constant Term}}{\text{Factors of Highest Power}}=\frac{\pm 1,\pm 3, \pm 5, \pm 41, \pm 615}{\pm 1, \pm 2, \pm 4, \pm 8}\)

By graphing it one can identify that 3 is a solution so plugging it in and using synthetic division.

\(\begin{array}{ccccc}3|& 8 & 34 & 31 & -615\\ \ \ |& & 24 & 174 & 615 \\ & 8 & 58 & 205 &0 \end{array}\\\)

Giving the following the polynomial:

\(0=(x-3)(8x^2+58x+205)\)

Now one can evaluate the discriminant of that quadratic:

\(58^2-4(8)(205)=-3196\)

Because it is negative one knows that it produces imaginary solutions. Therefore the only real solution is \(x=3\). Therefore the dimension of the box is the following: \(5\text{in},11\text{in}, 11\text{in}\)

Answer:

-90

Step-by-step explanation:

1/5 = 0.2

18/0.2 = 90

90*-1 = -90

Answer:

-90

here u go)))

Answer:

1.4 people out of 10

Step-by-step explanation:

Just divide it by 10

Answer:

only 4 people

Answer:

x=19/27

Step-by-step explanation:

\(3(5x+2)=-5(3x-5)+3x\\15x+6=-15x+25+3x\\15x+6=-12x+25\\27x=19\\x= 19/27\)

Hope this helps plz hit the crown :D

\(3(5x+2)=-5(3x-5)+3x\)

Distribute 3 in 5x+2 and -5 in 3x-5

\(15x+6=-15x+25+3x\)

Multiplying 2 negatives will be positive (Same goes to dividing 2 negatives.)

\(15x+15x-3x=25-6\)

Move the x term to the same side and constant term to the same side.

(Whenever you move to another side, change the sign/operator to opposite. From plus to minus and from multiply to divide.)

\(27x=19\\x=\frac{19}{27}\)

Thus, the answer is 19/27

Answer:

1. 5,000,000

2. 0.05632

3. 0.00031

4. 2,200

5. 2,500

6. 0.157963

7. 1,114

8. 4.001

9. 8.88

10. 250.89 m = 250,890 mm

11. 63,360

12. 1.009

13. 1,000

14. 0.00005

15. 0.0000007 m = 0.0000000007

Step-by-step explanation:

Answer:

Step-by-step explanation:

5000km = 500000m

56.32ml = 0.05632l

0.0031mm = 0.00031cm

22Hg = 2200g

0.025kg = 25,000mg

157.963 = 0.157963km

1.114 = 1114ml

4001mg = 4.001g

0.888L = 8.88 Dl

0.25089km = 250.89m = 250,890mm

63.36g = 0.06336mg

1009dg = 1.009 Hg

100cm = 1000mm

0.05ml = 0.00005l

Answer:

it 31 for sure but if not that than some thing is wrong

Step-by-step explanation:

15+12+4=31

The given homogeneous system of equations can be represented as a matrix equation Ax = 0, where A is the coefficient matrix and x is the vector of variables.

To find the solution set in parametric vector form, we can perform row operations on the augmented matrix [A|0] and express the variables in terms of free parameters.

The augmented matrix for the given system is:

[3 3 6 | 0]

[-9 -9 -18 | 0]

[0 -7 -7 | 0]

Using row operations, we can transform this matrix to row-echelon form:

[3 3 6 | 0]

[0 -6 -12 | 0]

[0 0 -7 | 0]

Now, we can express the variables in terms of free parameters. Let x2 = t and x3 = s, where t and s are arbitrary parameters. Solving for x1 in the first row, we get x1 = -2t - 2s.

Therefore, the solution set in parametric vector form is:

x = [-2t - 2s, t, s], where t and s are arbitrary parameters.

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The company has to assign 20% selection probability to each of the five different package designs, assuming that each design has an equal chance of being selected. This means that the probability of each design is 1/5 or 0.2 when converted to a percentage.

In this scenario, the company has to assign selection probability to each of the five different package designs. Given that one design is just as likely to be selected by a consumer as any other design, the selection probability that can be assigned to each of the package designs will be 20%.Therefore, the selection probability that can be assigned to each of the package designs is 20%.When we say that each design is just as likely to be selected by a consumer as any other design, we are assuming that the designs have an equal chance of being selected by the consumer. Therefore, the probability of selecting each package design is the same, which is 1/5 or 0.2. When converted to a percentage, it becomes 20%.Therefore, the probability of each of the five different package designs is 20%.

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Answer:

90%

Step-by-step explanation:

1 = 10%

10 - 1 = 9

9 x 10 = 90

=90%

Answer:

For the top row, 3 and 4, respectively

For the bottom row, 60 and 150, respectively

Step-by-step explanation:

w increases by 1 every time and d increases by 30

Answer:

for 2 weeks it is $60 and for $90 dollars its 3 weeks and for $120 is 4 weeks  and for 5 weeks its $150.

Step-by-step explanation:

She gets payed $30 every week since 1 week=30 that means its adding 30 dollars each week.

The panels in a joint probability table include the kind of probabilities, with the exception of the cells on the table's margins, which carry marginal probabilities instead of joint probabilities.

The likelihood that two separate occurrences will occur simultaneously is referred to as a joint probability when there are two or more random variables. A joint probability is the likelihood that event Y will occur at the same time as event X. It is a statistical metric that determines the likelihood of two occurrences occurring simultaneously and at the same moment in time. When two or more random variables are represented as a joint probability distribution in a table, the link between the variables is demonstrated (it uses variables or conditions instead of events). The probabilities included in the cells of the joint probability table are joint probabilities, but the probabilities on the margins are marginal probabilities.

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52 tiles are there in the 25th figure in this pattern.

A pattern is described as a series of recurring symbols, figures, or numbers. Any form of event or object can be related to a pattern.

A pattern has a rule that specifies which items fall within the pattern's umbrella and which do not.

A pattern in mathematics is a recurring arrangement of numbers, forms, colors, and other elements.

Any kind of event or object can be connected to the Pattern.

A pattern is referred to as a rule or a way in which a group of numbers is related to one another.

Sometimes a pattern is also referred to as a sequence.

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Answer:

2992 or 2112

Step-by-step explanation:

$1,000 times 10% (0.1) = $100

$1,200 in a year.

$2,400 in a year + $1,000 originally = $3,400.

$3,400 * 0.12 = $408

#3,400 = $408 = $2,992.

Or..

$2,400 * 0.12 = $288

$2,400 - $288 = $2,112.

To determine the sum of money Jeff should invest on January 21, 2020, in order to reach $80000 on August 8, 2020, at an annual interest rate of 5%, we need to calculate the present value of the future amount using the time value of money concepts.

We can use the formula for the present value of a future amount to calculate the initial investment required. The formula is:

Present Value = Future Value / (1 + interest rate)^time

In this case, the future value is $80000, the interest rate is 5% per year, and the time period is from January 21, 2020, to August 8, 2020. The time period is approximately 6.5 months or 0.542 years.

Plugging these values into the formula, we have:

Present Value = $80000 / (1 + 0.05)^0.542

Evaluating the expression, we find that the present value is approximately $75609. Therefore, Jeff should invest approximately $75609 on January 21, 2020, to amount to $80000 on August 8, 2020, at a 5% annual interest rate.

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a) The amount Rihanna will borrow in an auto loan is R14,800.

b) The monthly auto payment will be R326.28.

c) The total amount of interest that Rihanna will pay is R861.44

d) The total payment for the car, including the down payment is R17,661.44

e) The total annual premium is R1,850.

The cost of the car Rihanna is buying = R18,300

Trade in allowance = R1,500

Down payment = R2,000

Number of months for the mortgage = 48 months (4 years x 12)

a) Car loan = R14,800 (R18,300 - R1,500 - R2,000)

b) Monthly payment at 2.8% APR = R326.28 ($22.046 x R14,800/$1,000)

d) The total payment for the car = R17,661.44 [(R326.28 x 48) + R2,000]

c) The total amount of interest = R861.44 (R17,661.44 - R2,000 - R14,800)

e) Liability insurance = 100/300/50

Liability insurance coverage for a 19-year-old driver = R54 (R450 x 12) x 1.0%

Collision insurance: R1,776 (R148 x 12)

Comprehensive insurance: R1,020  (R85 x 12)

Deductible for each insurance type = R500

Total annual premium with deductible = R1,850 (R54 + R1,776 - R500 + R1,020 - R500)

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