Suppose that there is a black urn containing nine black balls and three yellow balls and there is a yellow urn containing six black balls and six yellow balls. An experiment consists of selecting at random a ball from the black urn and then (without replacing the first ball) selecting at random a ball from the urn having the color of the first ball.

Required:
a. Construct a tree diagram showing the probabilities associated with this problem. Write a probability on each branch (6 branches).
b. Find the probability that the second ball is yellow.

Answer:

Slope, m = -8

Step-by-step explanation:

Given the following data;

Points on x-axis (x1, x2) = (2, 3)

Points on y-axis (y1, y2) = (5, -3)

To find the slope, m;

Mathematically, slope is given by the formula;

[tex] Slope = \frac{Change \; in \; y \; axis}{Change \; in \; x \; axis} [/tex]

[tex] Slope, m = \frac {y_{2} - y_{1}}{x_{2} - x_{1}} [/tex]

Substituting into the equation, we have;

[tex] Slope, m = \frac {-3 - 5}{3 - 2} [/tex]

[tex] Slope, m = \frac {-8}{1} [/tex]

Slope, m = -8/1

Slope, m = -8

Answer:

a = 57 mm is the answer.

Step-by-step explanation:

a = ?

b = 76 mm

c = 95 mm

According to the Pythagoras theorem,

a² + b² = c²

a² + 76² = 95²

a² + 5776 = 9025

a² = 9025 - 5776

a² = 3249

a = 57 mm

∴ a = 57 mm is the length of the missing leg.

Answer:

57 mm

Step-by-step explanation:

To solve for a, we can use the Pythagorean Theorem.

a² + b² = c²

We have to solve for a, and we are given values for b and c, c being the hypotenuse.

This is what we know-

a² + 76² = 95²

We can simplify this to-

a² + 5776 = 9025

To solve for a, we have to isolate the variable on on side of the equals sign. So, we can subtract 5776 from both sides.

a² + 5776 - 5776 = 9025 - 5776

Simplify.

a² = 3249

Finally, to solve for a, find the square root of a².

[tex]\sqrt{3249^{2}[/tex] = 57

So, a = 57 mm

I hope this is helpful :) Good luck ^^

Answer:

Step-by-step explanation:

function 2

Answer:

the first is non-statistical and the second one is statistical

Step-by-step explanation:

when it is statistical it is asking in general (like a yes or no question) and when it's non-statistical it is asking something specific.

Answer:

2 OUTFITS

Step-by-step explanation:

Answer:

$58,739.46   so $58,739

Step-by-step explanation:

I suspect you want $100,000      not $10000

  A = P(1 + r/t)^nt

A = final amount

P = initial principal

r = interest rate

n = number of times the interest is applied per time period

t = number of time periods elapsed

number of time periods is 18-9  = 9

semiannual 2   makes n = 2

A = 100,000

P = ????

r  = 0.06

n = 2

t  = 2

I used to finance calculator app to find P = 58739.46

and double checked by using the formula to find A

A = P(1 + r/t)^nt

   = 58739( 1 + 0.06/2)^(2(9))

  = 58739.46( 1.03)^18

  = 99999.9987

OR

A = P(1 + r/t)^nt            solve for P

P =  A/[(1 + r/t)^nt]

  =  10000/[(1 + 0.06/2)^(2(9))]

  =  100000 / [1.03^18]

 =  $58,739.46

Answer:

A) 3

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

Answer:

3

Step-by-step explanation:

because 18/3 = 6

or 6 x 3 = 18

so it is a factor of 18

Given:

The point P = (3,2) is rotated 270° counterclockwise about the origin.

To find:

The image of the given point after rotation.

Solution:

If a point rotated 270° counterclockwise about the origin, then the rule of rotation is:

[tex](x,y)\to (y,-x)[/tex]

Using this rule, we get

[tex]P(3,2)\to P'(2,-3)[/tex]

Therefore, the image of given point P = (3,2) after the rotation of 270° counterclockwise about the origin, is P'(2,-3).

Answer:#1

Step-by-step explanation:

Answer:

3,114 in 240 days

Step-by-step explanation:

3000 x 0.038=114

114+3000=3114

Step-by-step explanation:

The lateral area is formula for a cylinder is

[tex]2\pi \times r \times h[/tex]

where r is radius and h is height.

[tex]2\pi \times 8 \times 3 = 48\pi[/tex]

The surface area of cylinder is

[tex]2\pi \times {r}^{2} + 2\pi \times r \times h[/tex]

[tex]2\pi(64) + 2\pi(24)[/tex]

[tex]128\pi + 48\pi[/tex]

[tex]176\pi[/tex]

Volume of cylinder is

[tex]\pi \times {r}^{2} \times h[/tex]

[tex]\pi \times 64 \times 3[/tex]

[tex]192\pi[/tex]

Answer:

Step-by-step explanation:

Lateral area is the sides so for this it's  distance around x 3 . b/c the cylinder is 3 units tall... sooo

r= radius  ,  d= diameter

circumference = distance around = 2[tex]\pi[/tex]r  or d[tex]\pi[/tex] = 16[tex]\pi[/tex]  

Lateral area is 16[tex]\pi[/tex]*3 = 48[tex]\pi[/tex]

Surface area is the lateral area + the top and bottom

the area of a circle is [tex]\pi[/tex][tex]r^{2}[/tex]

the area of this circle for the top is [tex]\pi[/tex][tex]8^{2}[/tex]

64[tex]\pi[/tex]

times 2 b/c there is also a top and a bottom

128[tex]\pi[/tex] + 48[tex]\pi[/tex] = 176[tex]\pi[/tex]

surface area is 176[tex]\pi[/tex]  [tex]units^{2}[/tex]

Volume of a cylinder is area of the circle base times the height.  

the base is 64[tex]\pi[/tex]

time 3 = 192[tex]\pi[/tex] [tex]units^{3}[/tex]

Volume is 603.1857 [tex]units^{3}[/tex]

note that two of  the answer include pi,  but you have that already put in for you in the answer so leave that part off.  

Answer:

It would have 6 faces

Step-by-step explanation:

In any convex polyhedron:

let v be the number  vertices , e is the number of edges and f is the number of faces then;

             ....[1]

As per the statement:

If a figure has eight vertices and 12 edges

⇒v = 8 and e = 12

Substitute in [1] to solve for f, we have;

⇒

Subtract 6 from both sides we have;

f = 6

Answer:

This one is easy I did this one before its A

Answer:

the answer is c

you times the radius with the 2 and the pi

Answer: yes the answer is (1,3) :)

Step-by-step explanation: you go by the horizontal axis (left to right) which is 1 and then the vertical axis (up and down) which is 3. the point of intersection is (1,3) hope this helps :) also don’t go to the link that the person posted, it might be dangerous.

Answer:

About anything that adds up to 90...

Step-by-step explanation:

Answer:

It is C and D :)

Step-by-step explanation:

Each input is multiplied by 2 to get the output which is why it is C. The coordinates are just the input as the X value and the output as the Y value, which is why it is also D.

Hope this helps can I have brainliest pls

Answer: $1846

Step-by-step explanation:

First and foremost, we should note that there are 52 weeks in a year. Therefore the biweekly payment of John will be gotten by dividing his gross income by 26 weeks i.e (52weeks/2) since it's biweekly.

Therefore, the gross income on each paycheck will be:

= $48,000.00 / 26

= $1846.15

= $1846 approximately

The gross income on each paycheck is $1846.

Answer:

Approximately [tex]0.428[/tex].

Step-by-step explanation:

(This approach requires looking up values on a [tex]z[/tex]-table. Calculators aren't required.)

A typical [tex]z[/tex]-table lists probabilities in the form [tex]P(Z \le z)[/tex] (or equivalently, [tex]P(Z < z)[/tex],) where [tex]z\![/tex] is real number (typically greater than or equal to [tex]0[/tex].)

However, the question asks for a probability in the form [tex]P(a < Z < b)[/tex]. It would be necessary to rewrite this probability for this [tex]\!z[/tex]-table approach to work.

Let [tex]a[/tex] and [tex]b[/tex] denote two real numbers, with [tex]b > a[/tex]. [tex]P(a < Z < b)[/tex] would be equal to [tex]P(Z < b) - P(Z < a)[/tex]. In this question:

[tex]\begin{aligned} & P(0 < Z < 1.46) \\ & = P(Z < 1.46) - P(Z < 0) \end{aligned}[/tex].

Look up the value of [tex]P(Z < 1.46)[/tex] on a [tex]z[/tex]-table: [tex]P(Z < 1.46) \approx 0.927855[/tex].

On the other hand, [tex]P(Z < 0) = 0.5[/tex] because the Gaussian distribution is symmetric.

Therefore:

[tex]\begin{aligned} & P(0 < Z < 1.46) \\ & = P(Z < 1.46) - P(Z < 0) \\ &\approx 0.927855 - 0.5 \\ &\approx 0.428\end{aligned}[/tex].

Answer:ok

Step-by-step explanation:

Answer: so are you saying that 8+14x because I don’t know what you write so here the answer

Step-by-step explanation: Hope this help :D

Evaluate for x=10

8+(14)(10)

8+(14)(10)

=148

But if you don’t want that then I will guess the answer is C.11

The value of x is 8

Given: 8, 14, x

Average = 10

Then,

(8 + 14 + x) / 3 = 10

Cross product

(8 + 14 + x) = 3 × 10

22 + x = 30

x = 30 - 22

x = 8

Read more:

https://brainly.com/question/13158712

Answer:

b, c, d, e

Step-by-step explanation:

Answer:

v = u = 75.8

Step-by-step explanation:

Answer:

There is convincing statistical evidence to suggest that the proportion of students who request certain classes is the same at each campus. ( A )

Step-by-step explanation:

Given sample size = 250

Test statistic = 4.01

P-value = 0.1347

significance level  = 0.05

while using chi-square we are supposed to reject H0, but we cant get the critical value ( Z - value ) because the information isn't available , but we are left with the P-value and this P-value been very low shows that the Alternate hypothesis is not strong enough for us to reject the Null hypothesis.

hence we will accept the Null Hypothesis  

Answer: B. There is not convincing statistical evidence to suggest that the proportion of students who request certain classes is different at each campus.

Step-by-step explanation: The null hypothesis is that the proportion of students who request certain classes is the same at each campus. Since the p-value is greater than a, there is insufficient evidence to reject the null hypothesis and conclude the alternative hypothesis, that the proportion of students who request certain classes is different at each campus.

Answer: read below

Step-by-step explanation:

A. The volume of sculpture 1 is greater than the volume of sculpture 2. TRUE

B. The surface area of sculpture 2 is less than the surface area of sculpture 1. FALSE

C. The base of sculpture 1 covers a larger area than the base of sculpture 2. TRUE

D. Sculpture 1 requires more glass to complete than sculpture 2. FALSE

Answer:

X=9

Step-by-step explanation:

Well since its a vertical angle, vertical angles are equal Or congruent.

So they equal the same so technically

3x+8=35

Solve

x=9

Answer:

x=9°

vertically opposite Angles are equal therefore (3x+8°)=35°

then 3x=35-8

3x=27

x=9

Answer:

D. 16√3

Step-by-step explanation:

To find the area, you have to find the height. To find that, you spit the triangle in half for a 30 - 60 - 90 triangle and figure out that the height is 4√3.

After you find the height, you do the equation for the area of a triangle which is 1/2 side * height, and you fill it out.

1/2 8 * 4√3

4 * 4√3

16√3

Answer:

(-5, -4)

Step-by-step explanation:

I got it correct and that is right

Answer:

IF THERE IS A LINK DON'T CLICK ON IT

Step-by-step explanation:

IT'S A COMPUTER PHONE AND TABLET VIRUS

Answer:

x = 620

y = 182

Step-by-step explanation:

The sum of two numbers is 802

x + y = 802

The difference of two numbers is 438

x - y = 438

x + y = 802

x - y = 438 Add

2x = 1240    Divide by 2

x = 1240/2

x = 620

x + y = 802

620 + y = 802      Subtract 620 from both sides

y = 802 - 620

y = 182