answer all
(make sure to show work
6th grade work

Answer:

a) P(rolling a number less than 4 on Die 1 and rolling a 5 on Die 2) = [tex]\frac{1}{9}[/tex]

b) P( the sum of both dice adding up to 4) = [tex]\frac{5}{54}[/tex]

Step-by-step explanation:

Given - You roll two six-sided dice. Die 1 is fair. Die 2 is unfair such that the probability of rolling an odd number is [tex]\frac{2}{3}[/tex] and the probability of rolling an even number is [tex]\frac{1}{3}[/tex] , though the probability rolling of each odd number is the same, and the probability of rolling each even number is the same.

To find - What is the probability of:

              a) rolling a number less than 4 on Die 1 and rolling a 5 on Die 2.

              b) the sum of both dice adding up to 4.

Proof -

The sample space , S = { (1,1), (1,2), (1,3), (1,4), (1,5), (1,6)

                                          (2,1), (2,2), (2,3), (2,4), (2,5), (2,6)

                                          (3,1), (3,2), (3,3), (3,4), (3,5), (3,6)

                                          (4,1), (4,2), (4,3), (4,4), (4,5), (4,6)

                                          (5,1), (5,2), (5,3), (5,4), (5,5), (5,6)

                                          (6,1), (6,2), (6,3), (6,4), (6,5), (6,6) }

Now,

Given that , Dice 1 is fair

⇒P₁(1) = P₁(2) = P₁(3) = P₁(4) = P₁(5) = P₁(6) = [tex]\frac{1}{6}[/tex]

Also, Given Dice 2 is unfair

⇒P₂(1) = P₂(3) = P₂(5) = [tex]\frac{2}{3}.\frac{1}{3} = \frac{2}{9}[/tex]

   P₂(2) = P₂(4) = P₂(6) = [tex]\frac{1}{3}.\frac{1}{3} = \frac{1}{9}[/tex]

Now,

a)

P(rolling a number less than 4 on Die 1 and rolling a 5 on Die 2) = P₁(1)P₂(5) + P₁(2)P₂(5) + P₁(3)P₂(5)

= P₂(5) [ P₁(1) + P₁(2) + P₁(3) ]

= [tex]\frac{2}{9}[/tex] [ [tex]\frac{1}{6}[/tex] + [tex]\frac{1}{6}[/tex] + [tex]\frac{1}{6}[/tex] ] = [tex]\frac{2}{9}[ \frac{3}{6}]\\[/tex] = [tex]\frac{1}{9}[/tex]

⇒P(rolling a number less than 4 on Die 1 and rolling a 5 on Die 2) = [tex]\frac{1}{9}[/tex]

b)

P( the sum of both dice adding up to 4) = P₁(1)P₂(3) + P₁(2)P₂(2) + P₁(3)P₂(1)

                                                                  = [tex]\frac{1}{6}[/tex] × [tex]\frac{2}{9}[/tex]  + [tex]\frac{1}{6}[/tex] × [tex]\frac{1}{9}[/tex] + [tex]\frac{1}{6}[/tex] ×[tex]\frac{2}{9}[/tex]   = [tex]\frac{5}{54}[/tex]

⇒P( the sum of both dice adding up to 4) = [tex]\frac{5}{54}[/tex]

Answer:

First time=7hours

First speed=990km/hour

First distance=first time×first speedD=(

S×T)

D=990km/hr×7hrs

D=6930km.

Second time=6&14min.

Second speed=920km/hr

Second distance=second speed×second time (D=s×t)

D=920km/hr×6&14min.

D=1500

Total distance=6930+1500

=8430

Answer:

the initial loan amount is $1,550, and the interest growth rate is 4.2% per year.

Step-by-step explanation: I just answered it.

Answer:

the answer is c

Step-by-step explanation:

for plato

Answer:.

Step-by-step explanation:

Here's link to the answer:

tinyurl.com/wpazsebu

Answer:

First, it’s already telling you that you need to find d, which is the opposite of degree 59. This means you have to do the exact thing for degree 37. Since it’s already telling you to use sine, you need to look at the opposite side of 37 which is 98.4.

So ? is 98.4

Now, you need to find sin 59 / d.

First, plug in sin 98.4 sin (37) in your calculator (make sure it’s in degree setting)

The result is 59.2.

Now, 59.2 = sin 59 / d.

Switch sides like this: d = 59.2 sin (37)

And the answer is approximatley d = 35.6

? = 98.4

d = 35.6

Answer:

18.The answer is 47 . 5 %

19.The answer is 83 . 85 %

Step-by-step explanation:

18 . This is a good example of normal Distribution

Z = ( Given score - Mean ) / Standard deviation

Z = (16. 36 - 15 .4 ) / 0.48

Z= 0. 96 / 0.48

Z = 2

From the table, the value of z on the right side of the normal curve

= 0.34 + 0 . 135 = 0.475

The percentage is 0. 475 x 100 = 47 . 5 %

19. We are asked to get the percentage between 13. 96 and 15. 88

Z 1 = ( 13 .96 - 15. 4 ) / 0.48

Z 1 = - 1. 44 / 0.48

Z 1 = -3

Z 2 = ( 15 . 88 - 15 . 4 ) / 0. 48

= 0. 48 / 0.48

Z 2 = 1

From the table , the value of z from - 3 to 1 is 0. 34 + 0. 135 + 0. 0235 + 0.34

= 0 .8385

The percentage is 0 . 8385 x 100 = 83 . 85 %

the answer to your question is 104 degrees.

le tienes que sumar 5,400 para que te de el resultado

Answer:

Le tienes que añadir 5400

Step-by-step explanation:

Answer:

26 is 30% greater than 20!hope this helped have a good day/night

Answer:

Step-by-step explanation:

I don't think u can tell from that because u need the length of each movie

Answer:

y = 4x - 2

Step-by-step explanation:

→ First find the gradient

[tex]\frac{x2-x1}{y2-y1} =\frac{30-2}{8-1} = 4[/tex]

→ Put into y = mx + c format

y = 4x + c

→ Substitute ( 1 , 2 ) into y = 4x + c

2 = 4 + c so c = -2

→ Rewrite into equation format

y = 4x - 2

Answer:

she ran 5,280 yards

Step-by-step explanation:

Answer:

5280

Step-by-step explanation:

Well, there are 1760 yards in a mile, aka 5280 feet. (5280ft/3=1760yds). 1760x3=5280.  I hope this was an okay explanation, this is my first day on Brainly with an account, hehe.

Answer:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

:P

Answer:

448ft

Step-by-step explanation:

16 x 14 x 2 x 2

  \   /         \   /

  224   x    4

          \    /

          448

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 22.02

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

slope: 2

y intercept 0, -8

Answer:

34 total students.

25 are not 7th graders

27/35

Answer:

Y-Intercept

Step-by-step explanation:

Your question is not that clear to answer. If you are asking what number -1 called its y-intercept

Answer: 5/36

Step-by-step explanation:

Answer:

The answer should be C....

Answer:

48.00

Step-by-step explanation:

Answer:

48.0 hope it helps you out

Answer: 8

Step-by-step explanation:

8-6 = 2 which is greater

anything above 7 is correct

Answer:

a>7

Step-by-step explanation:

a-6>1

a>1 +6

a>7

thank u i hope it helps

Answer:

Step-by-step explanation:

B.28.1

Answer:

It's BBBBBBBBBBBBBBBBB

Answer:

4/1/5=20 because when you divide by a fraction u keep change the divison into multiplaicton and flip the 1/5 to 5/1 so 4x5

Step-by-step explanation:

Step-by-step explanation:

if u want it by step by step thn tell me i will do that..

Answer: here u go and can u give me brainliest

Step-by-step explanation:

Answer:

284=5(40)+4r

Step-by-step explanation: