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Ket [755]
3 years ago
7

I need an explanation step by step for this question. Thx

Mathematics
1 answer:
Harrizon [31]3 years ago
8 0

Answer:

1:5, 5, 15

Step-by-step explanation:

The original ratio of red marbles to white marbles is 6:30 and you need to know how many white marbles are expected with 3 red marbles so you have to make the # of red marbles 3 so you can divide by 2 and you'll get 15 white marble or you could've divided both sides by 6 and get the ratio of red marbles to white marbles as 1:5 and you can see that for every one red marble there is 5 white marbles.

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A line through the origin has a slope of 1 / 3. Carlos thinks the slope of a perpendicular line at the origin will be 3.
OLEGan [10]

Answer:

Carlos is incorrect.

Step-by-step explanation:

We have been given that a line through the origin has a slope of \frac{1}{3}. Carlos thinks the slope of a perpendicular line at the origin will be 3.

We know that the slope of a perpendicular line to a given line is always negative reciprocal of the slope of the given line.

The slope of the perpendicular line at the origin will be negative reciprocal of \frac{1}{3}.

Let us find negative reciprocal of \frac{1}{3} as:

-\frac{1}{\frac{1}{3}}=-\frac{1\cdot 3}{1}=-3

Since the slope of a perpendicular line at the origin is -3, therefore, Carlos is incorrect.

4 0
3 years ago
Walter's family plays a quick game together every night after dinner. Walter draws names out of a hat to determine which kind of
Harlamova29_29 [7]

Answer:1st 2/3 2nd 1/3 3rd 1/9

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
3.6 - 1.24 is equal to what?
bogdanovich [222]
The answer is 2.36 :) :) :) :) :)
4 0
3 years ago
Read 2 more answers
Suppose s varies directly with t. When t=27, s=3. What is s when t=63?
adell [148]

Answer: s = 7

Step-by-step explanation:

27 is simply 9 times 3.

Thus, simply do 63/9 to get 7.

Hope it helps :)

3 0
3 years ago
Read 2 more answers
You throw two four-sided dice. Let the random variable X represent the maximum value of the two dice. Compute E(X). Round your a
Troyanec [42]

Answer:

E(X)=3.125

Step-by-step explanation:

We are given that two four sided dice.

Then , the sample space

{(1,1),(1,2),(1,3),(1,4),(2,1),(2,2),(2,3),(2,4),(3,1),(3,2),(3,3),(3,4),(4,1),(4,2),(4,3),(4,4)}

Total number of outcomes=16

Let the random variable X represent the maximum value of the two dice

Outcomes                            X                                 P(X)

(1,1)                                          1                                 1/16

(1,2),(2,1),(2,2)                                   2                        3/16

(1,3),(2,3),(3,1),(3,2),(3,3)                    3                           5/16  

(1,4),(3,4) ,(2,4),(4,1),(4,2),(4,3),(4,4)    4                            7/16

Using the probability formula

P(E)=\frac{Favorable\;outcomes}{Total\;number\;of\;outcomes}

Now,

E(X)=\sum_{i=1}^{n}x_iP(x_i)

E(x)=1(1/16)+2(3/16)+3(5/16)+4(7/16)

E(x)=\frac{1+6+15+28}{16}

E(x)=\frac{50}{16}=3.125

7 0
3 years ago
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