(04.01 MC)

A retail company is studying how employees are divided by job classification, such as employee, manager, and senior manager. Which of the following displays could be used to represent the data, and why?

Box plot; because job classification is categorical
Box plot; because job classification is numerical
Bar chart; because job classification is categorical
Bar chart; because job classification is numerical

Answer:

A

Step-by-step explanation:

In a polynomial function of the lowest degree with rational coefficients that have the given numbers as some of its zeros, we can use the fact that if a number "a" is a zero of a polynomial function, then (x-a) is a factor of the function.

Therefore, we can start by multiplying together (x-a) for each given zero, and then simplify the resulting expression to get the polynomial function in standard form with rational coefficients.

For example, if the given zeros are 2, -1, and 1/2, we would start by multiplying (x-2)(x+1)(x-1/2), which gives:

(x-2)(x+1)(2x-1)

Expanding this expression, we get:

2x^3 - 3x^2 - 5x + 2

This is a polynomial function of degree 3 (highest exponent is 3) with rational coefficients (all coefficients are integers or fractions). Note that this is the lowest degree possible for a polynomial with these zeros, since there are three distinct zeros.

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Answer:7

Step-by-step explanation:

Answer:

-48.9582

Step-by-step explanation:

(-2.655) x (18.44)

-2.655 x 18.44 = -48.9582

Hope this helps, have a great day!

Answer:

(5 , -15)

Step-by-step explanation:

When you are reflecting over the x-axis, you are flipping the sign of the y-coordinate.

If you are reflecting over the y-axis, then you are flipping the sign of the x-coordinate.

In this case, you are given the point (5 , 15), and you are reflecting over the x-axis, in which case, your answer will be: (5 , -15).

~

Answer:

Step-by-step explanation:

In this question, we are asked to find the point of reflection across the x-axis.

The easiest way to find reflection is to find the equal distance from the current point to the x-axis, then apply it reversely to find the reflected point.

The vertical point from (5, 15) to the x-axis is (5, 0).

Then, we need to find the distance from (5, 15) to (5, 0)

As we know the distance from (5, 15) to (5, 0) is 15 units, then we apply this to the other side of the x-axis by subtraction

Therefore, the reflected point is (0, -15)

If you are still confused, please refer to the attachment below for a graphical explanation.

Hope this helps!! :)

Please let me know if you have any questions

The ratio of apples to bananas, given 6 bananas and 2 apples, is 1:3. The ratio of apples to bananas can be determined by dividing the number of apples by the number of bananas.

In this case, there are 2 apples and 6 bananas. Dividing 2 by 6 gives us the ratio of 1:3. To represent the ratio in the given answer choices:

Choice (a) states 2:6, which is incorrect as it does not match the given quantities.

Choice (b) states 6:2, which is also incorrect as it swaps the quantities. Choice (c) states 2:8, which is incorrect as it changes the quantity of bananas.

Choice (d) states 8:2, which is incorrect as it swaps the quantities. Therefore, the correct ratio of apples to bananas is 1:3, indicating that for every apple, there are three bananas.

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Answer:

read below vv

Step-by-step explanation:

d = 5.00 - 4.25

d = 0.75

Answer:

Julie will get back 0.75 in change.

Step-by-step explanation:

d=4.25

5.00-d => 5.00-4.25 = 0.75

Hope this answered your question!

Answer:

Option B

Step-by-step explanation:

Perimeter of the given figure = Sum of measures of all sides

                                                = AB + BC + CA

Since, AB = BC = 9 cm (Radii)

CA = Length of arc CA which is the quarter of the circumference of a circle with radius 9 cm

CA = \(\frac{1}{4}(\text{Circumference of the circle})\)

      = \(\frac{1}{4}(2\pi r)\)

      = \(\frac{1}{2}(\pi )(9)\)

      = 14.14 cm

Now perimeter of the shape = 9 + 9 + 14.14

                                                = 32.14 cm

                                                ≈ 32 cm

Therefore, Option B will be the correct option.

Answer:

B

Step-by-step explanation:

Dependent values would be the numbers on the y axis

The probability that a randomly selected adult does not own shares of stock is 66.84%.

To calculate the probability that a randomly selected adult does not own shares of stock, we need to subtract the probability that the person is a shareholder from the probability that the person has some college education. We can use the formula:

P(A') = 1 - P(A)

where P(A) is the probability that the person is a shareholder, and P(A') is the probability that the person is not a shareholder.

P(A) = 52%

P(A') = 100% - P(A') = 100% - 52% = 48%

Next, we need to calculate the probability that the person has some college education.

We can use the formula:

P(B) = 47%

Now we can use the formula for conditional probability to calculate the probability that the person has some college education given that they are not a shareholder:

P(B|A') = P(A' and B) / P(A')

To calculate P(A' and B), we can use the formula:

P(A' and B) = P(B) - P(A and B)

P(A and B) = P(A) x P(B|A) = 52% x P(B|A)

To calculate P(B|A), we can use Bayes' theorem:

P(B|A) = P(A|B) x P(B) / P(A)P(A|B) = P(A and B) / P(B) = (52% x P(B|A)) / P(B)

Now we can substitute this expression into the formula for P(A' and B):

P(A' and B) = P(B) - P(A) x P(A|B) x P(B) / P(A) = 47% - (52% x P(B|A)) x 47% / P(B)

Now we can substitute these expressions into the formula for P(B|A') and simplify:

P(B|A') = (47% - (52% x P(B|A)) x 47% / P(B)) / 48%

We are given that 16% of all shareholders have some college education, so we can substitute this value for P(B|A):

P(B|A') = (47% - (52% x 16%)) x 47% / P(B) / 48% = 33.16%

Finally, we can substitute this value into the formula for P(A'):

P(A') = 100% - P(A') = 100% - 33.16% = 66.84%

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Answer:

DF = 7.5

Step-by-step explanation:

Since the 3 sides are congruent, then

EF = DE , that is

4.5m - 42 = 1.5m - 9 ( subtract 1.5m from both sides )

3m - 42 = - 9 ( add 42 to both sides )

3m = 33 ( divide both sides by 3 )

m = 11

Thus

DE = 1.5m - 9 = 1.5(11) - 9 = 16.5 - 9 = 7.5

Then

DF = 7.5

Answer:

Yes

Step-by-step explanation:

To find if the point (3,4) a solution to the linear equation y=4x-8 you need to substitute (3,4) into y=4x-8

(x,y)

(3,4)

x=3 and y=4

Subistute:

4=4(3)-8

4=12-8

4=4 which is correct so the answer is yes (3,4) is a solution for y=4x-8

The depth of the diver is 32 feet below sea level.

The angle of elevation is the angle between the observer's eyesight horizontal line and the object. The complete question can be seen in the image attached below.

The depth of the diver is the absolute value of -32 since it can't be negative.

= |-32|

= 32

Therefore, we can conclude that the depth of the diver is 32 feet below sea level.

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Using trigonometric function the value of x is 51.3°.

What is trigonometric function?

The functions of an angle in a triangle are known as trigonometric functions, commonly referred to as circular functions. In other words, these trig functions provide the relationship between a triangle's angles and sides. There are five fundamental trigonometric functions: sine, cosine, tangent, cotangent, secant, and cosecant.

Here Let us take the given right triangle as ABC.

∠A = x , ∠B = 90° and AB = 25 , AC= 40

Now using Cosine ratio then

Cos  A = \(\frac{adjacent}{hypotenuse}\)

=> cos x = \(\frac{25}{40}\)

=> cos x = \(\frac{5}{8}\)

=> x = \(cos^{-1}\frac{5}{8}\)

=> x = 51.3°

Hence the value of x is 51.3°.

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Answer:

a. \(\sqrt{52}\) or 7.21

b. 35.68 degrees

Step-by-step explanation:

a. Use Pythagorean theorem and plug in 6 and 4 (6^2 + 4^2 = c^2)

This will give you 52 = c^2 and square root both sides to isolate c and get the hypotenuse.

b. Solve using sine (opposite/hypotenuse). This should give you sinθ=\(\frac{7}{12}\). But since you're solving for θ you need to isolate it by dividing by sin. So final equation is θ=sin^-1 * \(\frac{7}{12}\)

Answer:

slope of -3/4

Step-by-step explanation:

a line that is perpendicular has an opposite slope

Step-by-step explanation:

To find the Highest Common Factor (H.C.F.) of 567 and 255 using Euclid's division lemma, we can follow these steps:

Step 1: Apply Euclid's division lemma:

Divide the larger number, 567, by the smaller number, 255, and find the remainder.

567 ÷ 255 = 2 remainder 57

Step 2: Apply Euclid's division lemma again:

Now, divide the previous divisor, 255, by the remainder, 57, and find the new remainder.

255 ÷ 57 = 4 remainder 27

Step 3: Repeat the process:

Next, divide the previous divisor, 57, by the remainder, 27, and find the new remainder.

57 ÷ 27 = 2 remainder 3

Step 4: Continue until we obtain a remainder of 0:

Now, divide the previous divisor, 27, by the remainder, 3, and find the new remainder.

27 ÷ 3 = 9 remainder 0

Since we have obtained a remainder of 0, the process ends here.

Step 5: The H.C.F. is the last non-zero remainder:

The H.C.F. of 567 and 255 is the last non-zero remainder obtained in the previous step, which is 3.

Therefore, the H.C.F. of 567 and 255 is 3.

Answer:

x= 19

Step-by-step explanation:

being co-interior angle

6x+8+4x+2= 180

so, x= 19

Answer:

4/6 and 8/12 and 16/24

Step-by-step explanation:

well because it is math and math works like this basically all of theese are equal to 2/3

Answer:

y = 7x - 603

Step-by-step explanation:

We start by determining the slope:

m = y2 - y1/x2 - x1 = 111 - 97/102 - 100 = 14/2 = 7,

Now we substitute the slope into the slope-intercept equation y  = mx + b, solving for the y-intercept [b]:

111 = 7(102) + b,

b = -603

Equation: y = 7x - 603

The fact that k≥4≥1 is used in the base case of the inductive proof, not in the inductive step.

In the base case, we need to show that the statement holds for k=4. Since 4≥1, this satisfies the condition. The inductive step assumes that the statement holds for some arbitrary k≥4 and then shows that it holds for k+1. The inductive step of an inductive proof aims to show that if a statement holds true for a certain value, it also holds true for the next value. In the given problem, we need to demonstrate that for k≥4, if 2k≥3k, then 2(k+1)≥3(k+1). The fact that k≥4≥1 is utilized in the base case step of the proof. The base case ensures that the initial condition (k=4) satisfies the given inequality. By showing that the inequality holds true for k=4, we establish a starting point for the inductive step. This allows us to apply the inductive step and generalize the result to all values of k greater than or equal to 4.

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solution

f(x)= 1/(3x+1)

When f(5/3)

f(x)= 1/(3x+1)

f(5/3)= 1/(3(5/3)+1)

f(5/3)= 1/(5+1)

f(5/3)= 1/6

If the parent function \(\sf y=(1.6)^x\) is translated 5 units up and 9 units to the right, then you should subtract 9 from x and add 5 to the whole function. Thus,

1) translation the parent function \(\sf y=(1.6)^x\) 9 units to the right gives you the function \(\sf y=(1.6)^{x-9}\).

2) translation the function \(\sf y=(1.6)^{x-9}\) 5 units up gives you the function \(\sf y=(1.6)^{x-9}+5\)

Therefore, the correct choice is C

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Answer:

.77

Step-by-step explanation:

7/9

Step-by-step explanation:

Player A persentage of success =(320/400)*100=80%

Player B persentage of success =(300/350)*100=85. 741

A ratio =8/10

B ratio =8.5741/10

Player b is the better player

The odds for the ball landing in an odd-numbered slot = 9/19

The odds against the ball landing in an odd-numbered slot = 10/19

From the 38 slots, the slots numbered 0 and 00 are even. Then the numbers from 1 to 36 has 18 odd and 18 even numbers.

So there are a total of 20 even numbers and 18 odd numbers.

The odd for the ball landing in an odd-numbered slot is the probability to get an odd slot from the 38 slots.

SO, P( odd slot) = Number of odd slots/ Total number of slots

                          = 18/38

                          = 9/19

The odds against the ball landing in an odd-numbered slot is the probability of getting an even numbered-slot out of the 38 slots.

Hence, P(even slot) = Number of even slots / Total number of slots

                                 = 20/38

                                 = 10/19

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The co-terminal angle to 5π/6 in the unit circle is C. 17π/6

Co-terminal angles in a unit circle are angles that share the same terminal point

Given the angle 5π/6, we desire to find the angle that shares the same terminal point in the unit circle. We proceed as follows.

We know that x = 5π/6 + 2π

Taking the L.C.M which is 6, we have that

x = (12π + 5π)/6

x = 17π/6

So, the angle is C. 17π/6

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The major parts of a salary range typically include the minimum, midpoint, and maximum salary for a position. The median salary is often used as a point of reference within a salary range, but is not considered one of the major parts.

The median salary is the salary at which half of the workers in an occupation earn less and half earn more.The midpoint is the average of the minimum and maximum salaries. It is used to calculate the median salary. The median salary is the salary that is in the middle of the minimum and maximum salaries. It is used to calculate the mean salary. The mean salary is the average of all the salaries.

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Answer:

Fact

Step-by-step explanation:

A Fact is a statement that has been proved :)