Suppose that your boss must choose four employees in your office to attend a conference in Jamaica. Because all 19 of you want to go, he decides that the only fair way is to draw names out of a hat. What is the probability that you, Samuel, Lisa, and Andrew are chosen

Answer:

this would 5 x + 2

Step-by-step explanation:

Answer: (4x2 + 4x - 5) • (x - 1)

Step-by-step explanation: The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  4  and the Trailing Constant is  5.

The factor(s) are:

of the Leading Coefficient :  1,2 ,4

of the Trailing Constant :  1 ,5

The Factor Theorem states that if P/Q is root of a polynomial then this polynomial can be divided by q*x-p Note that q and p originate from P/Q reduced to its lowest terms

In our case this means that

  4x3-9x+5

can be divided with  x-1

2.2    Polynomial Long Division

Dividing :  4x3-9x+5

                             ("Dividend")

By         :    x-1    ("Divisor")

dividend     4x3      -  9x  +  5

- divisor  * 4x2     4x3  -  4x2        

remainder         4x2  -  9x  +  5

- divisor  * 4x1         4x2  -  4x    

remainder          -  5x  +  5

- divisor  * -5x0          -  5x  +  5

remainder                0

Quotient :  4x2+4x-5  Remainder:  0

2.3     Factoring  4x2+4x-5

The first term is,  4x2  its coefficient is  4 .

The middle term is,  +4x  its coefficient is  4 .

The last term, "the constant", is  -5

Step-1 : Multiply the coefficient of the first term by the constant   4 • -5 = -20

Step-2 : Find two factors of  -20  whose sum equals the coefficient of the middle term, which is   4 .

     -20    +    1    =    -19

     -10    +    2    =    -8

     -5    +    4    =    -1

     -4    +    5    =    1

     -2    +    10    =    8

     -1    +    20    =    19

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Answer:

1. To dilate something in the coordinate plane, multiply each coordinate by the scale factor. This is called mapping. For any dilation the mapping will be \begin{align*}(x, y) \rightarrow (kx, ky)\end{align*}. In this Concept, the center of dilation will always be the origin, unless otherwise stated.

2. When using State Plane coordinates the scale factors, also known as the K factors, are ratios that can be used as multipliers to convert ellipsoidal lengths, also known as geodetic distances, to lengths on the map projection surface, also known as grid distances, and vice versa.

3.Similar figures have the same shape (but not necessarily the same size) and the following properties: Corresponding sides are proportional. That is, the ratios of the corresponding sides are equal. Corresponding angles are equal.

Step-by-step explanation:

I don't know if this helped but have a good day

Answer:

Yes.

Step-by-step explanation:

3.5 + 5.5 > 7.8

Answer:

96 tickets

Step-by-step explanation:

This question is incomplete, the complete question is;

Lets consider a hypothetical airline, Mudlark Airlines. On one of its flight, previous records show that about 15% of people who had tickets for the flight did not take the flight. There are 120 seats on the plane.

Suppose that Mudlark decides to sell 140 tickets for this flight. Assuming that all 140 tickets are sold and that the outcome for each ticketholder is independent, how many ticketholders should the airline expect to show up

Answer: the airline should expect 119 ticketholders to show up

Step-by-step explanation:

Given that;

the plane contains 120 seats

Their records shows that 15% (0.15) percent of people who previously buy their flight tickets don't show up.

they sold 140 tickets,

Number of ticketholder expected to show up  = ?

Probability of showing up for flight will be;

⇒ 1 - 0.15 = 0.85

Now Expected number of ticketholders to shup will be;

⇒ 140 × 0.85

= 119

Therefore the airline should expect 119 ticketholders to show up

9514 1404 393

Answer:

  all statements are true

Step-by-step explanation:

The line 4y=-16 can be rewritten to standard form as ...

  y = -4 . . . . a horizontal line with all points having y-coordinate = -4

__

The line 3x = 27 can be rewritten to standard form as ...

  x = 9 . . . . a vertical line with all points having x-coordinate = 9.

__

All of the statements about these lines are true.

Answer:

Teachers already introduce the general concept of revolutions (turns) when they say things like "a full circle is 360°", but they can make the concept more numerically precise by saying "a full turn is 360°, a half turn is 180°, a quarter turn is 90°, and an eighth turn is 45°" or writing "1 rev = 360°, 1/2 rev = 180°, ...

Step-by-step explanation:

hope this help :)

( t _t )

Answer:

An angle that turns through 1 360 of a circle what is the measure in degrees of the angle

Step-by-step explanation:

Angles are typically measured in degrees or radians. Angle measure is based on a circle where a full turn around the circle is 360 degrees. Similarly, a half turn is 180 degrees, a fourth [quarter] turn is 90 degrees, and so on.

This question is incomplete, the complete question is;

Calculate the correlation coefficient, r, for the data below.

X = -10  -8  -1  -4  -6  -7  -5  -3  -2  -9

Y = -15  -13  4  -4  -7  -11  -6  -2  1  -13

Answer: the correlation coefficient, r, for the data is 0.9896

Step-by-step explanation:

Given the data in the question;

correlation coefficient r = ?

we know that, C_Coeff is;

r = [ (Zn(∑xy) - (∑x)(∑y) ] / [ √[( n∑x² - (∑x)²) ( n∑y² - (∑y)²)] ]

so ;

       X        Y        X²        Y²        XY

     -10     -15       100      225      150

     -8      -13        64       169       104

     -1         4          1        16           -4

     -4       -4         16       16           16

     -6       -7         36      49          42

     -7       -11         49      121         77

     -5       -6         25      36         30

     -3       -2          9         4            6

     -2       1            4         1            -2

     -9      -13         81       169         117

∑   -55     -66      385     806        536

now we substitute our values into the formula

r = [ (10×536 - (-55)(-66) ] / [ √[( 10×385 - (-55)²) ( 10×806 - (-66)²)] ]

r = 1730 / √( 825 × 3704 )

r = 1730 / √3055800

r = 1730 / 1748.0846

r = 0.9896

Therefore the correlation coefficient, r, for the data is 0.9896

Answer:

z=-3

Step-by-step explanation:

Answer:

z=3

Step-by-step explanation:

42=−7(z−3)

Simplify both sides of the equation.

42=−7(z−3)

42=(−7)(z)+(−7)(−3)(Distribute)

42=−7z+21

Flip the equation.

−7z+21=42

Subtract 21 from both sides.

−7z+21−21=42−21

−7z=21

Divide both sides by -7.

-7z/-7=21/7

z=3

Answer:

The correct answer is Option 3: 12y

Step-by-step explanation:

A polynomial term is usually made of a variable and a co-efficient.

Like terms are those terms that have the same variables i.e. x and 44x are like terms.

Given expression is:

[tex]6y-2y+8y[/tex]

All the terms have only y which means that all three terms are alike.

The coefficients of like terms are added or subtracted according to their sign.

[tex]6y-2y+8y[/tex] = 12y

Hence,

The correct answer is Option 3: 12y

Answer:

-5m=-20

or, m= -20 /-5

= 4

hence, d. m = 4

Answer:

x=6

Step-by-step explanation:

Divide both sides by 3

Answer:

x = 6

Step-by-step explanation:

To find the answer, we must divide 18 by 3. When we do that, we get 6, meaning that x is equal to 6.

1:20 i think sooo.Je suis américain et habite dans les montagnes vertes du vermont . Je premier apprend français il y a un an parce que c'est un beau langue . Oui, je sais mon français est mauvais, mais J'aime l'apprendre . Je suis dix-sept et j'ai un chien blanc petit . Ma famille l'appelle snowball et il est tres gentil . Mon préféré endroit en la monde est les montagnes car ils sont très beau dans tout quatre saisons . Merci pour votre temps et au revoir .

Answer:

17/3

Step-by-step explanation:

if you meant 5 2/3

Multiply the denominator by the whole number

3 x 5= 15

Add the answer above to the numerator

15 + 2= 17

Write the answer from above over the denominator

17/3

Answer:

5

Step-by-step explanation:

i just did it

Answer:

2

Step-by-step explanation:

Given that,

Jester has a piece of wood measuring 1 and 2/3 m = 5/3 m

He needs to cut in pieces measuring 3/4 m

We need to find the number of pieces. Let there are x no. of pieces.

[tex]x=\dfrac{\dfrac{5}{3}}{\dfrac{3}{4}}\\\\=\dfrac{5}{3}\times \dfrac{4}{3}\\\\=2.23\[/tex]

or

x = 2

So, he will cut it into approx 2 pieces.

First you'll have to bring the equation in form y = mx + b.

4y = -x - 32

y = -1/4 x - 8

So the slope is -1/4 and y-intercept is -8

Hope this helps :)

Questions you may have-

How did you change it to y = mx + b form?

Divide 4 on both sides to isolate the y

Answer:

slope: 1/4

y-intercept: (0,8)  

Answer:

24,024

Step-by-step explanation:

Calculation for How many ways can Rudy choose 4 pizza toppings from a menu of 14 toppings

The 4 pizza toppings from a menu of 14 toppings will be 14,13,12,11

Hence,

14*13*12*11=24,024

Therefore the numbers of way Rudy can choose 4 pizza toppings from a menu of 14 is 24,024

Answer:

0.16807 ; 0.83193

Step-by-step explanation:

Given that:

Number of trials, n = 5

Probability of success, p = 0.30

P(r = 0)

Using the binomial probability relation :

P(x =r) = nCr * p^r * (1 - p)^(n - r)

(a) Find P(r = 0).

P(r = 0) = 5C0 * 0.3^0 * (0.7)^(5- 0)

= 1 * 1 * 0.16807

= 0.16807

(b) Find P(r ≥ 1) by using the complement rule

P(r ≥ 1) = 1 - P(r = 0)

P(r ≥ 1) = 1 - 0.16807

P(r ≥ 1) = 0.83193

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

if 3 roses   costs              10 dollars

3x4=12 roses.................10x4=40 dollars

Answer:

a) f(0) = -9

b) f(2) = -5

c) f(-3) = -15

d) f(1/2)=-8

Step-by-step explanation:

We are given the function [tex]f(x)=2x-9[/tex] and we need to find the following:

a) f(0)

For finding f(0) put x =0 in the given function

[tex]f(x)=2x-9\\Put\:x=0\\f(0)=2(0)-9\\f(0)=-9[/tex]

So, we get f(0)=-9

b) f(2)

For finding f(2) put x =2 in the given function

[tex]f(x)=2x-9\\Put\:x=2\\f(2)=2(2)-9\\f(2)=4-9\\f(2)=-5[/tex]

So, we get f(2)=-5

c) f(-3)

For finding f(-3) put x =-3 in the given function

[tex]f(x)=2x-9\\Put\:x=-3\\f(-3)=2(-3)-9\\f(-3)=-6-9\\f(-3)=-15[/tex]

So, we get f(-3)=-15

d) f(1/2)

For finding f(1/2) put x =1/2 in the given function

[tex]f(x)=2x-9\\Put\:x=\frac{1}{2}\\f(\frac{1}{2})=2(\frac{1}{2})-9\\f(\frac{1}{2})=1-9\\f(\frac{1}{2})=-8[/tex]

So, we get f(1/2)=-8

Answer: 6 hours

Step-by-step explanation: because if it takes Shayna 14 hours to pick the apples and took Ashley 8 hours  if you subtract that its 6 hours

Answer:

The last option

Step-by-step explanation:

a is the hypotenuse, x is the adjacent, h is the opposite.

a^2 = h^2 + x^2

Subtract x^2 from both sides

h^2 = a^2 - x^2

Please gimme brainliest

Answer:

no

Step-by-step explanation:

no

2-8..........

ITS UR ANSWER!,✌✌