in a meeting at the office, 40 employees and their 4 managers sit in a row. what is the probability no two adjacent members are managers?

Answer:

3 nickels and 5 pennies

Step-by-step explanation:

3 nickels = 15¢

5 pennies = 5¢

15+5=20

The ordered pair that is a solution to the given equation, y = | -6x + 2 |, is (1, 4)

From the question, we are to determine the ordered pair that is a solution of the given equation

The given equation is

y = | -6x + 2 |

To determine the ordered pair that is a solution to the equation, we will pick a value for x and determine the value of y for the value

y = | -6x + 2 |

Put x = 1

y = | -6(1) + 2 |

y = | -6 + 2 |

y = | -4 |

y = 4

Hence, the ordered pair is (1, 4)

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The result of subtractions with mixed fractions are listed below:

In this question we have five case of subtractions with mixed fractions, the procedure is summarized below:

Case 1

[tex]5 \frac{1}{4} - 2\frac{5}{7}[/tex]

(5 + 1 / 4) - (2 + 5 / 7)

(20 / 4 + 1 / 4) - (14 / 7 + 5 / 7)

(21 / 4) - (19 / 7)

(21 · 7 - 19 · 4) / (4 · 7)

71 / 28

Case 2

[tex]4\frac{1}{2} -1\frac{8}{10} \\[/tex]

(4 + 1 / 2) - (1 + 8 / 10)

(8 / 2 + 1 / 2) - (10 / 10 + 8 / 10)

9 / 2 - 18 / 10

9 / 2 - 9 / 5

(9 · 5 - 9 · 2) / (2 · 5)

(45 - 18) / 10

27 / 10

Case 3

[tex]3\frac{1}{2} - 2\frac{2}{3}[/tex]

(3 + 1 / 2) - (2 + 2 / 3)

(6 / 2 + 1 / 2) - (6 / 3 + 2 / 3)

7 / 2 - 8 / 3

(7 · 3 - 8 · 2) / (2 · 3)

(21 - 16) / 6

5 / 6

Case 4

[tex]2\frac{3}{4} - 1 \frac{1}{2}[/tex]

(2 + 3 / 4) - (1 + 1 / 2)

(8 / 4 + 3 / 4) - (2 / 2 + 1 / 2)

11 / 4 - 3 / 2

(11 · 2 - 3 · 4) / (4 · 2)

(22 - 12) / 8

10 / 8

5 / 4

Case 5

[tex]3\frac{1}{3} - 1 \frac{1}{4}[/tex]

(3 + 1 / 3) - (1 + 1 / 4)

(9 / 3 + 1 / 3) - (4 / 4 + 1 / 4)

10 / 3 - 5 / 4

(10 · 4 - 5 · 3) / (4 · 3)

(40 - 15) / 12

25 / 12

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Answer: x ≥ 8

Step-by-step explanation:

      We know that our inequality must be greater than or equal to $112 because she needs at least $112 to buy the new dress. This is the first part of our inequality.

      Next, we see that she already has $40 and will earn $9 an hour babysitting, if x is the number of hours. $9 an hour can become 9x, then we will add the $40 she already has for 9x + 40 as the second part of our inequality.

      This complete inequality is:

9x + 40 ≥ 112

      Now, we can solve by isolating the variable x with inverse operations.

9x + 40 ≥ 112

9x ≥ 72

x ≥ 8

      Matilda needs to babysit at least 8 hours to afford the new dress.

Natalee's mistake is that she has written the function incorrectly. In her function, she has multiplied the starting number of bacteria, 100, by the growth rate, 40%, to get the final number of bacteria. However, this is not correct because a growth rate of 40% means that the number of bacteria increases by 40% of the starting number, not by 40 itself.

To write the correct function, we can use the fact that a growth rate of 40% means that the final number of bacteria is 1.4 times the starting number. Therefore, the correct function for this scenario is y = 1.4 * 100 = <<1.4*100=140>>140. This function shows that the number of bacteria increases to 140 after experiencing a 40% increase in growth.

Answer:

The actual function for this scenario would be:

y = 100 * 1.40

Step-by-step explanation:

Natalee's mistake was that she didn't add 1 to the value of the increase. When you multiply a number by 1 plus the percentage increase, you get the correct result. In this case, the correct function would be:

y = 100 * 1.40

This function will show a 40% increase in the number of bacteria, starting with 100 bacteria. When graphed, the y-values will not be extremely high.

if you have any question let me know!

[tex]\displaystyle\\Answer:\ \frac{113}{8} =14\frac{1}{8}[/tex]

Step-by-step explanation:

[tex]\displaystyle\\\frac{113}{8}=\\\\\frac{112+1}{8}=\\\\\frac{112}{8} +\frac{1}{8} =\\\\14+\frac{1}{8} =\\\\14\frac{1}{8}[/tex]

The equation representing the total profit earned by Maon is Profit = 256 - 128.

Profit is calculated by the formula -

Profit = Cost price - Selling price

Cost price = 64×2

Performing multiplication to find the cost price

Cost price = $128

Selling price = 64×4

Performing multiplication to find the selling price

Selling price = $256

Keep the values in equation to find the profit

Profit = 256 - 128

Performing subtraction on Right Hand Side of the equation to find the profit

Profit = 128

Thus, the profit earned is $128.

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The annual earnings for Walker will be $53223.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred.

In this case, Ciara Walker was earning $47,100 and received a 13% raise.

Her new annual earnings directly will be:

= $47100 + (13% × $47100)

= $47100 + $6123

= $53223

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The minimum value, Q1, Median, Q3 and maximum value of the data are 10,15,21.5, 23.5 and 27 respectively. The box-and-whisker plot of data is attached

Given: 21,27,22,22,25,14,16,10

Arrange the data in ascending or descending order:

10,14,16,21,22,22,25,27

The minimum value = 10. The maximum value = 27

Find the median. The median is the value in the middle. The median values are 21 and 22. Thus:

10,14,16,21,22,22,25,27

Median (Q2) = (21+22)/2 = 21.5

Consider the values to the left of the median with one of the median numbers included (since we have two numbers in the middle): 10,14,16,21

Median = (14+16)/2 = 15

Thus, Q1 = 15

Also, consider the values to the right of the median with one of the median numbers included: 22,22,25,27

Meadian = (22+25)/2 = 23.5

Thus, Q3 = 23.5

To create a box and whiskers plot use Minimum value, Maximum value, Q1, Median(Q2) and  Q3 (Check the attached image)

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Both of the triangles are RIGHT triangles. y X(0,13) Y(0,7) Z(0,3) (0,0) J.  the length of vertical segment XY is 6.

Generally, A part of a line that is totally vertical is referred to as a vertical line segment. This means that the two vertices that make up the segment's ends have the same x- and y-coordinates but different z-coordinates than one another.

The length of vertical segment XY can be found by subtracting the y-coordinate of point X from the y-coordinate of point Y.

In this case, the y-coordinate of point X is 13 and the y-coordinate of point Y is 7, so the length of vertical segment XY is

13 - 7 = 6.

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Complete Question not found

Image not found  

The common denominator of the fractions 2/3 and 1/6 will be 6.

The lowest common multiple is the smallest multiple which is common between any two numbers.

It means we can divide both numbers by that and that is the smallest number by which both dived.

As per the given fractions 2/3 and 1/6.

Multiply 2 in numerator and denominator in 2/3.

2/3 x 2/2 = 4/6

Now denominator is the same thus common denominator is 6.

Hence "6 will be the common denominator for the fractions 2/3 and 1/6".

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Answer:

The slope is -4.

Step-by-step explanation:

[tex]m = \frac{11 - 3}{0 - 2} = \frac{8}{ - 2} = - 4[/tex]

Chi-square independence test.

A test that evaluates how well a model matches real observed data is the chi-square (2) statistic.

A chi-square statistic can only be calculated with data that is random, unprocessed, mutually exclusive, obtained from independent variables, and drawn from a sizable enough sample.

The outcomes of a fair coin toss, for instance, satisfy these requirements.

To test hypotheses, chi-square tests are frequently employed.

Given the size of the sample and the number of variables in the relationship, the chi-square statistic examines the size of any discrepancies between the expected results and the actual results.

According to the total number of variables and samples used in the experiment, degrees of freedom are utilized in these tests to assess whether a particular null hypothesis can be rejected. as well.

According to our question-

The independence of two variables, each of which is categorized into a variety of categories or attributes, is also tested using the chi square statistic.

When the cell probabilities rely on the unknown parameters, the goodness of fit test is relevant as long as the unknown parameters are substituted by their estimates and as long as one degree of freedom is subtracted for each estimated parameter.

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Answer: x³-4x²-2x-4

Tips:

Bring down top values, then multiply by the outside value, then put it under the next value, add, and repeat

The answer as a mixed number in simplest form will be 1 3/4.

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

Given that;

The expression is,

⇒ 1/4 - (- 1 1/2)

Now,

Since, The expression is,

⇒ 1/4 - (- 1 1/2)

Hence, Solve the expression as;

⇒ 1/4 - (- 1 1/2) = 1/4 + 3/2

                      = 1/4 + 6/4

                      = 7/4

                      = 1 3/4

Thus, The answer as a mixed number in simplest form will be 1 3/4.

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Answer:

Step-by-step explanation:

34/5=p2

Answer:

11/50

Step-by-step explanation:

=5x2+1= 11/5

=1/10×11×5

=11/50

Answer:

x=+/- i 6

Step-by-step explanation:

x²=+/- rad(i²*36) i²= -1

x²=+/-i rad(36) [rad = square roots]

x²=+/- i 6

Answer:

The two equations are true for the same value because when you substitute 7 for x both of them are correct

Step-by-step explanation:

1) 3(7) - 5 = 16             3(7) = 21

27 - 5 = 16                    21 = 21

16 = 16                             True

True                                    

Answer: y=-1/2x+4

Step-by-step explanation:

find the slope of the line given which would be-2/4 which simlifys down to 1/2 then add your b (y intercept) and that wold be 4.  

Step-by-step explanation:

To Find : size of angle x

Solution:

Area of ΔABC = (1/2) * BC * AC

=> (1/2) * BC * AC = 42

=> (1/2) * 6 * AC = 42

=> AC = 14 cm

BD = BC + CD

=> 22 = 6 + CD

=> CD = 16 cm

Tan x = AC /CD

=> Tan x = 14/16

=> Tanx = 7/8

=> x = Tan⁻¹(7/8)

=> x = 41.186°

The size of the angle is - 41. 186°

    area of triangle ABC = 1/2 * BC * AC

    or, 1/2 *BC * AC = 42

     or, 1/2 * 6 * AC = 42

     or, 3 * AC = 42

divide both sides by 3,

        AC = 14 cm

     BD = BC + CD

or, 22 = 6 + CD

or, CD = 16 cm

   tan x = [tex]\frac{AC}{CD}[/tex]

or, tan x = [tex]\frac{14}{16}[/tex]

or, tan x = [tex]\frac{7}{8}[/tex]

or , x =  41. 186°

∴ The size of the angle is - 41. 186°.

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There are 8 players who weigh between 169 and 194 pounds.

To answer this question, we can look at the box plot to understand the distribution of weights on the football team. The box plot shows us the minimum, maximum, median, and quartiles of the team's weights. The left quartile is 169 pounds, and the right quartile is 194 pounds. This means that 25% of the team's players weigh between 169 and 194 pounds. Since the team has 36 players, 25% of 36 is 9. However, since we are looking at the number of players between 169 and 194 pounds, we need to subtract 1 since the right quartile of 194 pounds is included in the number of players. Thus, there are 8 players who weigh between 169 and 194 pounds.

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10^7 ÷

your question is incomplete, please comment the full question for a more accurate answer

Answer:

100n/m

Step-by-step explanation:

n = m% of x

n = mx/100

x = 100n/m

Answer:

Below

Step-by-step explanation:

1500 = 1000 e^.03t

1.5 = e^.03t

take LN of both sides

.405465 = .03 t        t =13.5 yrs

Answer:

Step-by-step explanation:

it is

The cylindrical coordinates of (−7, 7, 7) are (√98, -π/4, 7). cylindrical coordinate (−7, 7 3 , 1) is  (14, -π/3, 1).

We must switch from rectangular to cylindrical coordinates in the provided problem. (let r ≥ 0 and 0 ≤ θ ≤ 2π.)

A)(−7, 7, 7)

Given rectangular coordinates(x, y, z) =(−7, 7, 7)

The cylindrical coordinates are (r, θ, z)

As a result, we determine each value of r and θ  separately.

r = √x²+y²

r = √(-7)²+(7)²

r = √49+49

r = √98

θ = tan⁻¹ (y/x)

θ =tan⁻¹  (7/-7)

θ =tan⁻¹  (-1)

θ = -π/4

So cylindrical coordinate = (r, θ, z) = (√98, -π/4, 7)

B) (-7,7√3,1)

Given rectangular coordinates(x, y, z) = (-1,1,1)

The cylindrical coordinates are (r, θ, z)

As a result, we determine each value of r and θ  separately.

r = √x²+y²

r = √(-7)²(7√3)²

r = √49+147

r = √196

r = 14

θ = (y/x)

θ = (7√3/-7)

θ = (-√3)

θ = -π/3

So cylindrical coordinate = (r, θ, z) = (14, -π/3, 1)

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Answer: B

Step-by-step explanation:

Equation: S=KT

Just do S divided by T to get K and you get 7

Answer: s=7t

Step-by-step explanation:

you have to multiply every answer in the t column by 7 to get the number across in the s column

Answer:

-38x - 14y

Step-by-step explanation:

2[x+2y - 24x - 12y + 4x + 3y]

2 [ -19x -7y]

- 38x - 14y