Write the equation in standard form for the circle with center (0, -8) and radius 6.

Answer:

Probability of 100 managers being selected= 100C100*1100C800/1200C900

Probability of selecting just one manager = 1C100*1199C899/1200C900

Explanation:

Given 100 managers, 200 factory workers, 900 miscellaneous workers, and workers bring transferred 900

To find probability of 100 managers leaving given that probability = number of favorable outcomes/total number of outcomes

We use combination since order doesn't matter:

Combination formula= n!/r!(n-r)! Where n= total number of outcomes and r is number of outcome at one time and ! is factorial

Probability of 100 managers using nCr formula for each item = 100C100*1100C800/1200C900

Probability of 1 manager also applying nCr formula as above =1C100*1199C899/1200C900

The probability is the ratio of the favorable event to the total number of events. The probabilities are as follows;

a.  P = ¹⁰⁰C₁₀₀ × ¹¹⁰⁰C₈₀₀ / ¹²⁰⁰C₉₀₀

b.  P = ¹⁰⁰C₁ × ¹¹⁹⁹C₈₉₉ / ¹²⁰⁰C₉₀₀

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.

Your company is considering offering 600 employees the opportunity to transfer to its new headquarters in Ottawa and, as personnel manager, you decide that it would be fairest if the transfer offers are decided by means of a lottery.

Assuming that your company currently employs 100 managers, 300 factory workers, and 900 miscellaneous staff.

We can use combination since order does not matter;

a)  The probability of all the managers will be offered the opportunity will be

[tex]P = \dfrac{^{100}C_{100} * ^{1100}C_{800}}{^{1200}C_{900}}\\[/tex]

b)  The probability of you will be offered the opportunity will be

[tex]P = \dfrac{^{100}C_{1} * ^{1199}C_{899}}{^{1200}C_{900}}\\[/tex]

More about the probability link is given below.

https://brainly.com/question/795909

546 Is The Answer

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Answer:

13 and -6      or     6 and -13

Step-by-step explanation:

Use systems of equations

Answer:

The answer is "At the 0,10 level, there should be enough proof that the percentage is below 49%"

Step-by-step explanation:

Null and alternative hypothesis:

[tex]H_0 :P \geq 0.49\\\\H_1:P<0.49 \ \ (\text{Left tailed test})\\\\[/tex]

Significance level: [tex]\alpha = 0.10[/tex]

It is decided that the null hypothesis at the defined meaning level is rejected.

Step-by-step explanation:

answer is in the image above

Answer: DH and HF correspond.

Answer:

x =55 degrees

y = 35 degrees

Step-by-step explanation:

We know that the distance from the center of the circle to the circumference is the radius

that means the triangle starting out from O is isosceles since two of the sides are radii and thus the angle of those sides are the same

Let us call one of the angles z

we know that the sum of the angles in a triangle is 180 degrees

That simply means;

80 + 2z = 180

2z = 180-80

2z = 100

z = 100/2

z = 50 degrees

So the angles at each upper end of the cyclic quadrilateral are;

x + 50 and y + 50

we know that the angles that face each other in a cyclic quadrilateral are supplementary

Thus;

95 + y+ 50 = 180

y= 180-95-50

y= 180-145

y = 35 degrees

Now, for x, the angle supplementary to the angle that faces x+ 50 equals x + 50

Thus;

x + 50 = 105

x= 105-50

x = 55 degrees

Answer:

A= -42

B= 3

Step-by-step explanation:

Answer:

D- 456 is 3 2 7 4 = Ab

Step-by-step explanation:

Answer:

Mark arrived at school at 9:45 A.M. or either 9:45 P.M.

Answer:

Christy got to school at 9:45am

Step-by-step explanation:

Answer:

8 1/6

Step-by-step explanation:

that is da answer bbbbb

Answer:

8 1/6

Step-by-step explanation:

3 1/2 X 2 1/3

7/2x7/3

Answer: D) 13^(3/5)

Step-by-step explanation: This is assuming that the question is asking the √13^3. With the five as the y root.

Answer:

x^2

Step-by-step explanation:

all the numbers are square roots so n square is the nth term.

2^2= 4

3^2=9

4^2=16

5^2=25

6^2=36

Answer:

[tex] {n}^{2} [/tex]

Step-by-step explanation:

Drawing number into triangular dot pattern and making a square (with same numbers of dots in rows and columns) will give a square number. Similarly, 16 = 42 = 32 + (3 + 3 + 1), 25 = 52 = 42 + (4 + 4 + 1) and so on.

Answer:

[tex]\cos \theta = -\frac{\sqrt{5}}{3}[/tex]

Step-by-step explanation:

Draw a right triangle with angle [tex]\theta[/tex]. In all right triangles, the sine of an angle is equal to its opposite side divide by the hypotenuse of the triangle. Therefore, label the side opposite to [tex]\theta[/tex] as 2 and the hypotenuse (longest side) of the right triangle as 3.

To find the last side, use the Pythagorean Theorem:

[tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse of the triangle.

Solving for [tex]a[/tex]:

[tex]a^2+2^2=3^2,\\a^2+4=9,\\a^2=5,\\a=\pm\sqrt{5}\implies \sqrt{5}[/tex]

In all right triangles, the cosine of an angle is equal to its adjacent side divided by the hypotenuse. However, the cosine of all angles in Quadrant III are negative. Therefore, the desired answer is [tex]\cos \theta=\boxed{-\frac{\sqrt{5}}{3}}[/tex].

Verify:

[tex]\sin \theta =-\frac{2}{3},\\\\\theta=\arcsin(-\frac{2}{3}}),\\\\\cos(\arcsin(-\frac{2}{3}}))=-\frac{\sqrt{5}}{3}\checkmark[/tex]

Answer:

21 days

Step-by-step explanation:

101/5=20.2

thus u need 21 days to finish 101 worksheets

Answer:

The value of y when x = 8 is -8.

Step-by-step explanation:

y = 8 - 2x

y = 8 - 2*8

y = 8 - 16

y = -8

Have a nice day!

Answer:

7.57 cm

Step-by-step explanation:

Volume of a cylinder = πr²h

π = 3.14

r= radius

h = height

1,800 = 3.14 x r² x 40

r² = 1800 /(3.14 x 40)

r² = 14.33121

√14.33121 = r

r = 3.785658 cm

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

Diameter = 2 x 3.785658 cm = 7.57cm

Answer:

x<−3

Step-by-step explanation:

hope this works

Answer:

x=1 , y=3

Step-by-step explanation:

y = 4 x − 1

4(y = − x + 4)

y = 4 x − 1

4y= - 4 x +16

5y= 15

y=3

3=4x-1

+1     +1

4=4x

/4  /4

x=1

Answer:

B

Step-by-step explanation:

Start by using the distance formula to find the raidus

The two points are (-2,1) and (-4,1)

√((-4+2)²+(1-1)²)= 2

The radius is two and we have our center which means we can write

(x+2)²+(y-1)²=4

now it's just a matter of expanding everyhting

x²+4x+4+y²-2y-3=0

x²+y²+4x-2y+1=0

This is equal to B

Answer:

y-value is direct variation

Step-by-step explanation:

Solve the equation for inverse and cross multiply.

Answer:

C, n < –3 or n > –2

Step-by-step explanation:

Answer:

x=104

Step-by-step explanation:

Angle Formed by Two Secants= 1/2(difference of Intercepted Arcs)

10.5 = 1/2( x-83)

Multiply each side by 2

2* 10.5 = 2*1/2( x-83)

21 = x-83

Add 83 to each side

21+83 = x-83+83

104 =x

Hope this help!!!

Have a nice day!!!

Answer:

279 feet

Step-by-step explanation:

To find x, we solve using the Trigonometric function of Tangent

tan θ = Opposite/ Adjacent

θ = 64°

Length of the shadow = Adjacent = 136 feet

Height of the building = Opposite = h

Hence,

tan 64 = h/136 feet

Cross Multiply

h = tan 64 × 136 feet

h = 278.84132245 feet

Approximately, h to the nearest foot ≈ 279 feet

Therefore, the height of the building = 279 feet

Step-by-step explanation:

you can follow the same procedure for others

Answer:

3

Step-by-step explanation:

fractions are division, so if you divide the numerator by the denominator you'll always get the mixed number / whole number

so 3/4 is equal to 3 divided by 4

15 divided by 5 is 3, because 3 x 5 = 15

Answer:

B and C. can you select more than one?