What does m equal and what is the slope

Using the hypergeometric distribution, it is found that there is a 0.0455 = 4.55% probability that both light bulbs failed the test.

The bulbs are chosen without replacement, and this is why the hypergeometric distribution is used to find the probability.

Hypergeometric distribution:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

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

The parameters are:

In this problem:

The probability that both failed the test is P(X = 2), thus:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 2) = h(2,12,2,3) = \frac{C_{3,2}C_{9,0}}{C_{12,2}} = 0.0455[/tex]

0.0455 = 4.55% probability that both light bulbs failed the test.

A similar problem is given at https://brainly.com/question/24826394

Step-by-step explanation:

7. I believe it's independent because it makes sense and if it was dependent it wouldn't make senses.

8.For T you have 2 (Ts) so that give you a 2/8= 25% so you would basically make those Ts disappear and focus on 1 out of 6 and you'd get a 16.67% chance

9. 14.2857%

10. I don't understand ;-; am I suppose to multiply or see the chance if % it would get

I'm sorry;-;

Answer:

1) y=3.5+(5•x)

2) 103.5

3) No, because 5•20 is 100 and 5•10 is 50, BUT with both you still have to add 3.5 no matter what because of the $3.50 to pick up the rider

Answer:

im gonna go with c

Answer:

-29

= -16 + 5(-4) + 7

=16 - 20 + 7

=-29

Answer:

sorry wont let me click off this question so so so sorry

Step-by-step explanation:

hope u do really well

Answer:

(X+1) (x - 4) (x+2)

Step-by-step explanation:

All the coefficients are integers so apply the rational zeros theorem.

The coefficient of x^3 is 1.

Divide (x^3-x2-10x-8)(x+1) = x^2-2x-8 with remainder = 0

The remainder is 0. (x+1) is a factor.

(x + 1) ( x^2 - 2x - 8)

x^2 - 2x - 8 (-4 * 2= 8) and -4 + 2 = -2)

= (x -4) (x+2)

Answer:

4

Step-by-step explanation:

x= 18÷4.5=4

hope it helps

Answer:

1

Step-by-step explanation:

1 is the first natural number because 0 is not a natural number.

All natural numbers are numbers from 1 onward.

Ex. 1.2.3.4.5.6...

The answer is x=−4 and y=−3

Answer:

3*3*3-1*1

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

3x3=9

1x2=2

so 9-2=7

Answer:

No

Step-by-step explanation:

Answer:

No, it will not be the same shade of green.

Step-by-step explanation:

For the shade of green to be equivalent that person would need both of the proportions to be equal weather it is 6/4 and 12/8 or 8/5 16/10.

The ratios 8/5 and 6/4 do not match therefore the green the batches make will not be equal.

I hope this helps :D

Answer:

The answer is -6 3/5! Hope this helps you.

Answer:

-3m

Step-by-step explanation:

everyone knows we should take the unknown letter to a one side and numbers to another side.

so first ;

9m + 14 = -13

9m = -13 - 14

9m =-27

9m/9 = -27 / 9

m = -3

-3 is the finale answer

[tex]5x + 3 = - 9 \\ = > 5x = - 9 - 3 \\ = > 5x = - 12 \\ = > x = \frac{ - 12}{5} \\ = > x = - 2 \frac{2}{5} [/tex]

Option A .

[tex] - 2 \frac{2}{5} [/tex]

Answer:

X=2

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

I am pretty good at math.

Answer: 79798

Step-by-step explanation:

139101 - 59303

= 79798

please give me a brainliest answer

Answer:

79798

Step-by-step explanation:

  69632

+ 69469

=  139101

-   59303

=  79798

Hope this helps :)

Answer:

m=-2/-1 or m=-2

Step-by-step explanation:

Find two points on the line, then use this formula:  m=rise/run  or m=y2-y1/x2-x1

m=0- 2/-3-(-2)

m=-2/-1 or m=-2

Answer:

8,600

Step-by-step explanation:

43 tens is basically 43 x 10

2 tens is 2 x 10

multiply that to get 8600

Hope it helps! :D

Answer:

The second company offers better value

Step-by-step explanation:

$17,75 / 6 = ~$2,96

$25 / 8 = ~$3,13

Answer:

58°

Step-by-step explanation:

in ΔABD

∠ADB = 32°

∠DBA = 90°

∠BAD = 180° - (32 + 90)

∠BAD = 58°

As ΔBAD ≅ ΔBCD

∠BAD = ∠BCD

So ∠BCD = 58°

Answer:

8. Rotating the line 90° around any point.

Step-by-step explanation:

Perpendicular lines intersect each other at a right angle. Therefore, the transformation should create an image that intersects the preimage at an angle of 90∘. Since a rotation changes the angle between the preimage and the image, it can create perpendicular lines.

Answer:

10, 80 and 90 degrees.

Step-by-step explanation:

The third angle will  90 - 10 = 80 degrees.

Answer:

25

Step-by-step explanation:

remember that the pythagorean theorem is a²+b²=c²

so this equation would be:

7²+24²=c²

solve the exponents

49 + 576 = c²

combine like terms

625 = c²

take the radical of each number

√625 = √c²

25 = c

have a lovely day <3

Answer:Step by Step Solution

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Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    h*(t)-(16*t^2+192*t)=0

STEP

1

:

Equation at the end of step 1

 ht -  (24t2 +  192t)  = 0

STEP

2

:

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

  ht - 16t2 - 192t  =   t • (h - 16t - 192)

Equation at the end of step

3

:

 t • (h - 16t - 192)  = 0

STEP

4

:

Theory - Roots of a product

4.1    A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

4.2      Solve  :    t = 0

 Solution is  t = 0

Equation of a Straight Line

4.3     Solve   h-16t-192  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  h-16t-192  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when h = 0 the value of t is 12/-1 so this line "cuts" the t axis at t=-12.00000

 t-intercept = 192/-16 = 12/-1  = -12.00000

Calculate the X-Intercept :

When t = 0 the value of h is 192/1 Our line therefore "cuts" the h axis at h=192.00000

 h-intercept = 192/1  = 192.00000

Calculate the Slope :

Slope is defined as the change in t divided by the change in h. We note that for h=0, the value of t is -12.000 and for h=2.000, the value of t is -11.875. So, for a change of 2.000 in h (The change in h is sometimes referred to as "RUN") we get a change of -11.875 - (-12.000) = 0.125 in t. (The change in t is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  0.125/2.000 =  0.062

Geometric figure: Straight Line

 Slope = 0.125/2.000 = 0.062

 h-intercept = 192/1 = 192.00000

 t-intercept = 192/-16 = 12/-1 = -12.00000

t = 0

Step-by-step explanation:

Answer:

$130.00

Step-by-step explanation:

674-284=390

390/3=130

what that person said :(

Answer:

35

Step-by-step explanation:

The factors chosen are 35 and 38 which multiplied = 1330(the product) Laura is 3 years older than jon so she is 38 and Jon is 35.

Answer:

the answer would be:

g(X)

and

m(X)

Step-by-step explanation:

make me as Brainliest sorry if I am wrong

Answer:

So the answer would be (A.

Step-by-step explanation: