Each salesperson at an insurance agency is rated either below average, average, or above
average with respect to sales ability. Each salesperson is also rated with respect to his or her
potential for advancement either fair, good, or excellent. These traits for the 500 sales people
were cross-classified into the following table.
Potential for Advancement
Sales Ability Fair Good Excellent Total
Below Average 16 12 22 50
Average 45 60 45 150
Above Average 93 72 135 300
Total 154 144 202 500
If a salesperson is selected at random what is the probability:
A. The salesperson has “Fair” potential for advancement.
B. The salesperson has “Fair” potential or has Above Average Sales ability
C. The salesperson has “Fair” potential given they have Above Average Sales ability.
D. Of selecting 2 salespersons and finding they both have Fair potential for advancement.

Answer:

30.5 cm^2

Step-by-step explanation:

Recall the formula for the area of a circle: [tex]A_{circle}=\pi r^2[/tex] where [tex]\pi \approx 3.14[/tex], and "r" is the radius of the circle (distance from center to any point on the edge).

From the diagram, the radius is 5cm.

[tex]A_{circle}=\pi r^2[/tex]

[tex]A_{circle}=(3.14)(5[cm])^2[/tex]

[tex]A_{circle}=78.5[cm^2][/tex]

Recall the formula for the area of a rectangle: [tex]A_{rectangle}=bh[/tex] where "b" is the base of the rectangle (length of bottom or length of top), "h" is the height of the rectangle (distance from bottom to top).

From the diagram, the base is 8cm, and the height is 6cm.

[tex]A_{rectangle}=bh[/tex]

[tex]A_{rectangle}=(8[cm])(6[cm])[/tex]

[tex]A_{rectangle}=48[cm^2][/tex]

Having found the areas for each of the first parts, we can find the difference to find the shaded area:

[tex]A_{shaded}=A_{circle}-A_{rectangle}[/tex]

[tex]A_{shaded}=(78.5[cm^2])-(48[cm^2])[/tex]

[tex]A_{shaded}=30.5[cm^2][/tex]

The probability of getting two correct answers will be 0.0625.

The probability of getting two correct answers will be:

Probability of getting the correct answer will be:

= 1/4 = 0.25

The probability of getting two correct answers will be:

= 0.25 × 0.25

= 0.0625

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By using the remainder theorem we found that ( x - 5 ) is the factor of function  f(x) = x³ – 5x² + 7x – 35.

Factorization is defined as splitting the polynomial into its most simplified form. This factor satisfies the polynomials from which it is extracted.

The factorization by using the Remainder theorem.

x - 5 )   x³ – 5x² + 7x – 35.( x ² + 7

             x³  -  5x²

             ______________

                00         7x - 35

                             7x - 35

              -------------------------

                                     00

Here the function is completely divided by the factor x - 5 therefore

by using the remainder theorem we found that ( x - 5 ) is the factor of function  f(x) = x³ – 5x² + 7x – 35.

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B) 15 hours, 34 minutes

2:12 + 15 hours = 5:12 A.M

5:12 + 34 minutes = 5:46 A.M

Answer:

15 degrees

Step-by-step explanation:

Answer:

The earth turns 15 degrees in one hour. Hope this helps!

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

you are multiplying so it is the product of the three

2 ( ...  )    ( ... )

and you must solve the brackets first so C and not D

The associative property of real numbers is shown in the number expression 3 + ((-5) + 6) = (3 + (-5)) + 6

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

We have a number expression:

= 3 + ((-5) + 6) = (3 + (-5)) + 6

As we know in the associative property:

a + (b + c) = (a + b) + c

= (3 + (-5)) + 6

Thus, the associative property of real numbers is shown in the number expression 3 + ((-5) + 6) = (3 + (-5)) + 6

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The curved surface area of the cone is 144 cm².

A cone is a three-dimensional object that consists of a circular base and an vertex.

curved surface area = πrl

Where:

3.14 x 3 x 23 = 144 cm²

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Answer:

Area of Floor = 21.6.m²

Area of tile = 288 cm² = 0.0288 m²

No. of tiles = Area of floor/ area of tile

= 21.6/0.0288

= 750

Answer:

95%

Step-by-step explanation:

5 player won, meaning 95 player didn't.

This means that 95% of the players didn't win.

The profit is the amount left from you net income after your fixed expenses have been paid.

The amount earned by an individual or corporation after costs, allowances, and taxes is referred to as net income. Net income in company is what remains after all costs, such as salaries and wages, the cost of goods or raw materials, and taxes, have been paid.

Profit is a financial gain, specifically the sum obtained over that which was used to acquire, maintain, or produce the good or service.

Profit is the term used to describe the financial gain experienced when the revenue from a commercial activity exceeds the costs, costs, and taxes associated with maintaining that activity.

Hence the profit is the amount left from you net income after your fixed expenses have been paid.

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The value of e:g is 2:7.

A ratio indicates how many times one number contains another.

Given:

e:f=3:7

f:g=2:3

Now take LCM of 2 and 7 i.e., 14.

e/f= 3/7= 3*2/7*2= 6/14

and, f/g= 2/3= 2*7/3*7= 14/21

So,

e/g= e/f *f /g

     = 6/14*14/21

     = 6/21

e:g = 2:7

Hence, the value of e:g is 2:7.

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Answer:

jxdhjsssdddddsssssdd

Answer:

increasing

Step-by-step explanation:

look left to right, line goes up

Answer:

It makes sense for Phil to sell his products online.

Step-by-step explanation:

Answer:

1) 8x/2x = 4

2) 2y/4y = 1/2

3) (4 x 1/2 x 3) = 6

4) /2

solutions= 6/2=3

The solution to the equation r(1 - 2cosФ) = 1 is given as x² + y² - 4x√(x² + y²)  + 4x² = 1

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

In polar form:

r = √(x² + y²) and cosФ = x / √(x² + y²)

Hence:

r(1 - 2cosФ) = 1

√(x² + y²) [1 - 2(x / √(x² + y²))] = 1

√(x² + y²) - 2x = 1

Take square of both sides:

x² + y² - 4x√(x² + y²)  + 4x² = 1

The solution to the equation r(1 - 2cosФ) = 1 is given as x² + y² - 4x√(x² + y²)  + 4x² = 1

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Answer:

x = -1/2 = -0.5

Step-by-step explanation:

4.5x + 9 -1/2x = -3.75 +5 1/2 + 5.25

⇔ (4 1/2 - 1/2)x + 9 = (5 1/2 + 5 1/4) - 3 3/4

⇔ 4x + 9 = 10 3/4  - 3 3/4

⇔ 4x + 9 = 10 - 3

⇔ 4x + 9 = 7

⇔ 4x = 7 - 9

⇔ 4x = -2

⇔ x = -2/4

⇔ x = -1/2

⇔ x = -0.5

Step-by-step explanation:

there must be no confusion just put x= 0 u get y=0.5 which is true according to graph and also put x=2 you get y = 1.5 which is again satisfy by the graph so it is 1/2x+0.5

Answer:

y = 1/2 x + 1/2

Step-by-step explanation:

I think your answer is not wrong but if the math program won't accept it, check these two things:

Make sure the x is beside the 1/2 and is not interpreting it as the x on the bottom with the 2 which is wrong.

Also, usually we don't put a mix of decimals and fractions. So change that .5 to a 1/2. I know what you have is equivalent, but just the norms dictate how to write it. Maybe it is just some tiny detail as these two details. Please don't be confused, you aren't wrong.

Using the combination and the arrangements formula, it is found that the number of possible playlists is given by:

[tex]7.98 \times 10^8[/tex]

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, we have that:

Hence, without considering the order, the number of playlists is given by:

[tex]C_{7,7}C_{12,3} = \frac{7!}{7!0!} \times \frac{12!}{3!9!} = 220[/tex]

The number of possible arrangements of n elements is given by the factorial of n, that is:

[tex]A_n = n![/tex]

In this problem, the 10 musics are arranged, hence the number of playlists, considering the order, is given by:

[tex]n = 10! \times 220 = 798336000 = 7.98 \times 10^8[/tex]

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Answer:

0 and -6

(0,-6)

Step-by-step explanation:

Can't really explain, but this is a guess on the actual question.

Answer:

Step-by-step explanation:

Comment

An x intercept occurs when y = 0. So the table shows three of them.

Answer

There are 3 x values when y = 0. They are

Answer: A. [tex](-1, 0)[/tex]

Step-by-step explanation:

The x-intercept is every point where y=0. To see this, we should look at the table's f(x) section to find any zeroes.

According to the table and this knowledge, one x-intercept of this continuous function is [tex](-1, 0)[/tex].

I hope this helps! Pls mark brainliest!! :)

Answer:

22

Step-by-step explanation:

Is easy just multiple

Answer:

Step-by-step explanation:

Using the relation between velocity, distance and time, it is found that:

Velocity is distance divided by time, that is:

[tex]v = \frac{d}[t}[/tex]

Flying against the wind, an airplane travels 2520 kilometers in 4 hours, that is:

[tex]v - v_w = \frac{2520}{4}[/tex]

[tex]v - v_w = 630[/tex]

[tex]v = 630 + v_w[/tex]

Flying with the wind, the same plane travels 9450 kilometers in 9 hours, hence:

[tex]v + v_w = \frac{9450}{9}[/tex]

[tex]v + v_w = 1050[/tex]

[tex]v = 1050 - v_w[/tex]

Hence, solving for the wind's speed:

[tex]630 + v_w = 1050 - v_w[/tex]

[tex]2v_w = 420[/tex]

[tex]v_w = \frac{420}{2}[/tex]

[tex]v_w = 210[/tex]

For the plane, we have that:

v = 1050 - 210 = 840.

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Answer:

Step-by-step explanation:

Givens

x intercept =

The vertex is at 3, 4

The vertex is upside down.

Solution

(x - 1) and (x - 5) produce the two roots.

There must be 1 minus somewhere so that the quadratic goes upside down.

Answer

y = - (x -1)(x - 5)

Answer:

Step-by-step explanation:

Write the number as [tex]abc[/tex] and use the divisibility rules for 10 and 3. From the rule for 10, we know that the last digit of [tex]abc+cba[/tex] is [tex]o[/tex], hence [tex]a+c=10[/tex]. Thus the options are [tex]a=1[/tex] & [tex]c=9[/tex], [tex]a=2[/tex], & [tex]c=8[/tex], etc.

From the rule for 3, namely that the digit sum must be divisible by 3, we find that [tex]2a+2b+2c=20+2b[/tex]  is divisible by [tex]3[/tex]. By hand it's easy to check that [tex]b=2,5,8[/tex] are the only options that work.

So there are 9 choices for [tex]a[/tex] and [tex]c[/tex] and [tex]3[/tex] for [tex]b[/tex] , giving 27 total.

Answer:

[tex] f(-4) = \dfrac{1}{9} [/tex]

Step-by-step explanation:

[tex] f(x) = 9(3)^x [/tex]

[tex] f(-4) = 9(3)^{-4} [/tex]

[tex] f(-4) = 3^2 \cdot 3^{-4} [/tex]

[tex] f(-4) = 3^{-2} [/tex]

[tex] f(-4) = \dfrac{1}{9} [/tex]

Answer:

1/9

-------------

Answer:

56x² + 8x

(second option listed)

Step-by-step explanation:

area: length × width

length: 7x + 1

width: 8x

(8x)(7x + 1)

{distribute 8x}:

(8x)(7x):  8x × 7x = 8 · 7 · x · x = 56 · x · x = 56x²

(8x)(1) = 8x

area = 56x² + 8x

so, the area of this rectangle is 56x² + 8x

Answer:

56x² + 8x

[answer B]

5.9

Step-by-step explanation:

345√ is 18.6=3.14*r2 cuz formula

Is πr2