Determine the quotient

Answer:

6

Step-by-step explanation:

|-6| = 6

|6| = 6

- -6 = +6

so, we have

6 - 6 + 6 = 6

Since 1 person cannot be in the top 4 salespeople more than once, then, we use combinations instead of permutations.

Simplify the expression,

answer:

The 4 top list can be arranged in 82251 ways

Answer:

7ft

Step-by-step explanation:

its not 7, im jus guessing:)

Answer:

13.5 or if in fraction 27÷2

Step-by-step explanation:

1.5 = m ÷ 9

1.5 × 9 = m (since you're finding m,shift the 9 to the left.So divide becomes multiply)

27/2 (27÷2) or 13.5 = m

Answer:

D.  Makes both the top and bottom inequalities true

Step-by-step explanation:

System of linear inequalities

Consider these two inequalities:

2x+3y > 20

3x-2y > 5

The solution of the system consists of all the ordered pairs (x,y) that satisfy both inequalities. The ordered pair (3,5) makes the first inequality true because

2*3+3*5=21 and it's effectively greater than 20.

But that pair makes the second inequality false, since

3*3-2*5=-1 is not greater than 5.

Thus, the pair (3,5) is not part of the solution.

If we test the pair (6,2), we'll check both inequalities are true, thus (6,2) is part of the solution.

Thus, the correct answer to the question is

D.  Makes both the top and bottom inequalities true

Answer:

63

Step-by-step explanation:

add rgem i dont unos much

32 mins is the time taken by Shannon on Friday.

Two or more expressions with an Equal sign is called as Equation.

Given that On the first 4 days of the week Shannon took 30 min, 28 min, 34 min, and 31 min to get to school.

The average time for the week was 31 min

We have to find how long did Shannon take to get to school on Friday

Let Shannon take to get to school on Friday be x

30+28+34+31+x/5=31

123+x/5=31

123+x=5×31

123+x=155

Subtract 123 on both sides

x=155-123

x=32

Hence, 32 mins is the time taken by Shannon on Friday.

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The answer is 21/6720

The matrix is 3 × 3 square matrix . Its values are:

\(a_{11} = 50 \\ a_{12} = 44 \\a_{13} = -43 \\a_{21} = 31 \\a_{22} = 16 \\a_{23} = 7 \\a_{31} = 37 \\a_{32} = 119 \\a_{33} = 94\)

Given,

Matrix A and Matrix B

Now,

According to matrix multiplication rule first row of one matrix will be multiplied with first column of second matrix if the columns in first matrix is equal to the rows of second matrix.

So,

Apply multiplication rule,

\(a_{11} = 30 + 14 + 6 = 50 \\ a_{12} = 55 + 7 - 18 = 44 \\a_{13} = -20 -35 + 12 = -43 \\a_{21} = 24 - 2 + 9 = 31 \\a_{22} = 44 -1 -27 = 16 \\a_{23} = -16 + 5 + 18 = 7 \\a_{31} = 36 + 16 - 15 = 37 \\a_{32} = 66 + 8 + 45 = 119 \\a_{33} = -24 -40 -30 = -94\)

Thus the values of the matrix can be calculated.

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The solution of the inequality is 8 ≥  x  or x > 10. The graph of the solution is attached

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value e.g. 5 < 6, x ≥ 2, etc.

Solving for x:

11≥ 2x - 5 or 2x - 5 > 15

Collect like terms:

11 + 5 ≥ 2x  or 2x > 15 + 5

16 ≥ 2x  or 2x > 20

8 ≥  x  or x > 10

Note:  8 ≥  x can also be written as x ≤ 8

We can combine the two as follow:

Inequality notation: 8 ≥  x > 10

The graph of the solution is attached

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Answer:

\( = > ( - 7 \times 4) + 2\)

\( = > ( - 28) + 2\)

\( = > - 26\)

Step-by-step explanation:

I think it's help you

a) The angle swept out  since kelsey started skiing: 1.1498 radians

b) The distance Kelsey skied:  3.334 km

In this question, we have been given Kelsey is skiing along a circular ski trail that has a radius of 2.9 km. she starts at the 3-o'clock position and travels in the ccw direction. kelsey stops skiing when she is 1.185 km to the right and 2.647 km above the center of the ski trail.

Consider the following figure for reference.

We need to find the angle θ and the distance kelsey skied (i.e., the arc length)

Here, the horizontal distance x = 1.185 km and the vertical distance y = 2.647 km

a. the tangent of angle θ would be,

tan(θ) = y/x

tan(θ) = 2.647/1.185

tan(θ) = 2.2337

θ = arctan(2.2337)

θ = 65.88°

θ = 1.1498 radians

b. The length of the arc is:

s = rθ

s = 2.9 * 1.1498

s = 3.334 km

Therefore, a) the angle swept out : 1.1498 radians

b) the distance Kelsey skied:  3.334 km

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The mean is 0.477514 (rounded to 6 decimal places).

The standard deviation is 0.288919 (rounded to 6 decimal places).

To calculate the mean and standard deviation, we will use the following formulas:

Mean = (sum of all values) / (number of values)

Standard deviation = sqrt[(sum of (value - mean)^2) / (number of values)]

Using these formulas, we can calculate the mean and standard deviation for the given set of random numbers:

Mean = (0.937776 + 0.270012 + 0.243785 + 0.590701 + 0.824982 + 0.131805 + 0.879337 + 0.741998 + 0.254683 + 0.080259 + 0.419321 + 0.928220 + 0.958430 + 0.980182 + 0.263900 + 0.063119 + 0.762096 + 0.485612 + 0.662900 + 0.362242 + 0.724796 + 0.307736 + 0.305021 + 0.417052 + 0.054337 + 0.323357 + 0.069662 + 0.843387 + 0.353107 + 0.074262 + 0.735596 + 0.175095 + 0.390508 + 0.668932 + 0.029861 + 0.205228 + 0.387740 + 0.962169 + 0.646565 + 0.423914 + 0.754782 + 0.156719 + 0.773113 + 0.546335 + 0.323573 + 0.649740 + 0.214082 + 0.382383 + 0.383982 + 0.030539) / 50 = 0.477514

Therefore, the mean is 0.477514 (rounded to 6 decimal places).

Now we will calculate the standard deviation:

Standard deviation = sqrt[((0.937776 - 0.477514)^2 + (0.270012 - 0.477514)^2 + (0.243785 - 0.477514)^2 + ... + (0.382383 - 0.477514)^2 + (0.383982 - 0.477514)^2 + (0.030539 - 0.477514)^2) / 50] = 0.288919

Therefore, the standard deviation is 0.288919 (rounded to 6 decimal places).

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The surface area of given triangular prism = 24 ft².

For the given triangular prism

Base = 2 ft

height = 3 ft

side = 3ft

We know that,

Surface area of triangular prism

= side x base + 3x base x height

=  3 x 2  + 3x2x3

= 6 + 18

= 24 ft²

Thus,

Surface area = 24 ft²

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Answer:

1,266.90

Step-by-step explanation:

1. 940 + 170 + 120 = 1,230

2. 1,230 x 0.12 x 0.25 = 36.9

3. 36.9 + 1,230 = 1,266.90 (FINAL ANSWER)

Step-by-step explanation:  

1. Quota Sampling: This method involves identifying specific subgroups of respondents that need to be included in the study in a specific proportion to the population.

2. Convenience Sampling: This sampling technique involves selecting the sample based on the availability of participants at the time of the study.

3. Stratified Sampling: This technique divides the population into subgroups or strata based on similarities, with the elements within each group being relatively homogeneous and heterogeneous among the other subgroups.

4. Purposive Sampling: This type of sampling is based on the intention or purpose of the study, and the sample is selected based on the researcher's judgment or knowledge of the population.

5. Judgment Sampling: This sampling technique depends on some pre-set standards, and the representative sample is selected based on the researcher's judgment or experience. 6. Simple Random Sampling: This technique involves using randomization to ensure that every element of the population has an equal chance of being selected for the sample. 7. Snowball Sampling: This sampling method is used in situations where the population is completely unknown or rare, and it relies on referrals from the initial participants to identify subsequent participants.

8. Hypothesis Sampling: This type of sampling is guided specifically by a hypothesis, and the sample is selected based on the research question being asked.

9. Qualitative Sampling: This technique is used in qualitative research and involves a systematic, subjective approach used to describe life experiences and give them meaning.

LO. Quantitative Sampling: This technique involves an objective, systematic, empirical investigation of observable phenomena through the use of computational techniques.

If the total height between two floors is 9'0 1/2" and 14 risers are to be used in a set of stairs, the height of each riser would be approximately 7.75 inches.

To find the height of each riser in a set of stairs given the total height between two floors, we need to divide the total height by the number of risers.

First, let's convert the total height to a consistent unit. The distance between two floors is given as 9'0 1/2". We can convert this to inches by multiplying the feet by 12 and adding the remaining inches:

9 feet = 9 * 12 = 108 inches

0 1/2 inch = 0.5 inch

Total height = 108 + 0.5 = 108.5 inches

Next, we divide the total height by the number of risers (14) to find the height of each riser:

Height of each riser = Total height / Number of risers

Height of each riser = 108.5 inches / 14

Using a calculator, we can compute:

Height of each riser ≈ 7.75 inches

Therefore, the height of each riser in the set of stairs would be approximately 7.75 inches.

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Answer:

-6273682

Hope this is helpful to you

If you like my answer you can mark me as a brainlist.

THANK YoU

By rearranging the equation, we get the equation of the line parallel to 5x + 4y = 24 that passes through the point (8, -5) as y = (-5/4)x + 5.To find the equation of a line parallel to another line, we need to determine the slope of the given line.

The equation of a line can be written in slope-intercept form as y = mx + b, where m represents the slope.

To determine the slope of the given line 5x + 4y = 24, we need to rearrange the equation in slope-intercept form. First, subtract 5x from both sides: 4y = -5x + 24. Next, divide all terms by 4: y = (-5/4)x + 6. Therefore, the slope of the given line is -5/4.

Since the line we are looking for is parallel to this line, it will also have a slope of -5/4. Now we can use the point-slope form of a line to find the equation. The point-slope form is given as y - y1 = m(x - x1), where (x1, y1) represents the given point (8, -5) and m is the slope.

Substituting the values into the equation, we have y - (-5) = (-5/4)(x - 8). Simplifying further, y + 5 = (-5/4)x + 10.

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The area of the base is directly related to the surface area of the prism. As the surface area increases, the area of the base also increases.

The surface area of a prism is given by the formula:

Surface area = 2 × area of base + perimeter of base × height

If the base is a regular polygon, then all sides will be of equal length.

The length of one side of the base is:

20 cm / n (where n is the number of sides)

If we know the area of the base, we can substitute it into the surface area formula to get:

Surface area = 2 × area of base + perimeter of base × height

= 2A + 20h/n

Solving for A, we can isolate the area of the base:

A = (Surface area - 20h/n) / 2

Substituting the given values for the height and base perimeter, we get:

A = (Surface area - 100) / 2n

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The correct face value will be Option C ($20,000). A further solution id provided below.

Given:

Time,

t = 20 years

Rate,

r = 4.4%

Price

= $8,375

Now,

The yield will be:

= \(\frac{4.4}{2}\)

= \(1.1\) (%)

Time will be:

= \(20\times 2\)

= \(40 \ periods\)

As we know the formula,

⇒ \(Price \ of \ bond = \frac{Face \ value}{(1+\frac{r}{2} )^{n\times 2}}\)

By substituting the values, we get

                   \(8375=\frac{Face \ value}{(1+\frac{0.044}{2} )^{20\times 2}}\)

                   \(8375=\frac{Face \ value}{(1.022)^{40}}\)

                   \(8375=\frac{Face \ value}{2.3880083}\)

The face value will be:

        \(Face \ value = 2.3880083\times 8375\)

                          \(=20,000\) ($)

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Answer:

The critical value  is  \(t_{\frac{0.10}{2} , 14 } =[ - 1.761,1.761]\)

Step-by-step explanation:

From the question we are told that

   The sample size is  n =  15

   The  level of significance is  \(\alpha = 0.10\)

The null hypothesis is  \(H_o : \mu _1 = \mu_2\)

The alternative hypothesis is  \(H_a : \mu_1 \ne \mu_2\)

Here \(\mu_1\) is average time for previous year

        \(\mu_2\) is the average time for current year

Generally the degree of freedom is mathematically represented as

         \(df = n -1\)

=>      \(df = 15 - 1\)

=>     \(df = 14\)

Generally from the student  t distribution table the critical value  for \(\frac{\alpha }{2}\) at a degree of freedom of  \(df = 14\) for a two tailed test  is  

      \(t_{\frac{0.10}{2} , 14 } =[ - 1.761,1.761]\)

Answer:

Step-by-step explanation:

Answer:

To divide 3000 rupees between Teena and Beena so that they get 40% and 60% respectively, we need to follow these steps:

Step 1: Find the total percentage that Teena and Beena will receive together:

40% + 60% = 100%

This means that Teena and Beena will receive 100% of the total amount, which is 3000 rupees.

Step 2: Calculate the amount that Beena will receive:

60% of 3000 rupees = 0.6 x 3000 = 1800 rupees

Step 3: Calculate the amount that Teena will receive:

40% of 3000 rupees = 0.4 x 3000 = 1200 rupees

Therefore, Beena will receive 1800 rupees, while Teena will receive 1200 rupees

The probability that calls last between 4.0 and 4.6 minutes will be around 0.4332.

we have to standardize the values and utilize the standard typical dispersion table or calculator.

To discover the z-scores for 4.0 and 6.0  minutes:

z1 = (4.0 - 6.0  ) / 0.70 = 2.8

z2 = (4.5 - 6.0  ) / 0.70= 2.1

Since Employing a standard ordinary conveyance table, we are able to discover the likelihood of the calls enduring between 4.0 and 4.6 minutes:

P(0 ≤ Z ≤ 2.1) = 0.4332

However the likelihood that calls final between 4.0 and 4.6 minutes is 0.4332, or around 0.4332.

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Answer:

the volume is 157.08

Step-by-step explanation:

formula is v=1/3hπr²

1: V=1/3(6)π(5)²

2. V=1/3(6)π(25)

3:V=2*π*25

4: V=157.079

We're given:

If the shop sold " \(9\dfrac{9}{10}\)  times as much milk chocolate as white chocolate", we must multiply \(9\dfrac{9}{10}\) by the amount of white chocolate sold to find the amount of milk chocolate sold.

Multiply \(9\dfrac{9}{10}\) by 9 ounces:

\(9\dfrac{9}{10}\times9\)

Convert the fraction into an improper fraction:

\(=\dfrac{99}{10}\times9\)

Multiply:

\(=\dfrac{891}{10}\)

The shop sold \(\dfrac{891}{10}\) ounces of milk chocolate.

f(x) = x^3 - 6x^2 + 12x the function is increasing for x < -2, increasing for x > 4 and decreasing for -2 < x < 4. The critical value that will give you a relative maximum is x = 4. The critical value that will give you a relative minimum is x = -2.

The derivative of the given function is f'(x) = 3x^2 - 12x + 12. Setting this equal to 0 gives us x = 0 and x = 4. By the first derivative test, we can determine that the function is increasing for x < -2, increasing for x > 4 and decreasing for -2 < x < 4. Therefore, the critical value that will give us a relative maximum is x = 4 and the critical value that will give us a relative minimum is x = -2. This can be verified by finding the second derivative of the function, which is f''(x) = 6x -12. Setting this equal to 0 gives us x = 2, which is between the two critical values. Since the second derivative is negative for x < 2, the critical value at x = -2 will give us a relative minimum and since it is positive for x > 2, the critical value at x = 4 will give us a relative maximum.

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Answer:

\( - 8(45) + 482 = - 360 + 482 = 122\)

Answer:

uh

Step-by-step explanation:

i do not know

The required amount of the space available is 0.045 cubic meter.

We need to determine Space inside the steps.

The Volume is defined as the mass of object per unit density.

The required space = 0.3*0.4*0.5 - 0.15*0.5*0.2

                                 =  0.06 - 0.015

                                 =    0.045 cubic meter

Hence, the required amount of the space available will be 0.045 cubic meter.

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