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Svetlanka [38]
3 years ago
14

Express and Meters 3km+1500m= and

Mathematics
1 answer:
Eva8 [605]3 years ago
7 0
The workbook problem is $94.40.
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An unbalanced die is manufactured so that there is a 20% chance of rolling a “six." The die is rolled 6
SIZIF [17.4K]

Answer:

Probability of rolling at least 4 sixes is 0.01696.

Step-by-step explanation:

We are given that an unbalanced die is manufactured so that there is a 20% chance of rolling a “six." The die is rolled 6  times.

The above situation can be represented through binomial distribution;

P(X = r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r};x=0,1,2,3,.......

where, n = number trials (samples) taken = 6 trials

            r = number of success = at least 4

           p = probability of success which in our question is probability of

                 rolling a “six", i.e; p = 0.20

<u><em>Let X = Number of sixes on a die</em></u>

So, X ~ Binom(n = 6, p = 0.20)

Now, Probability of rolling at least 4 sixes is given by = P(X \geq 4)

P(X \geq 4) = P(X = 4) + P(X = 5) + P(X = 6)

=  \binom{6}{4} \times 0.20^{4} \times (1-0.20)^{6-4}+\binom{6}{5} \times 0.20^{5} \times (1-0.20)^{6-5}+\binom{6}{6} \times 0.20^{6} \times (1-0.20)^{6-6}

=  15 \times 0.20^{4} \times 0.80^{2}+6 \times 0.20^{5} \times 0.80^{1}+1 \times 0.20^{6} \times 0.80^{0}

=  0.0154 + 0.00154 + 0.000064

=  0.01696

<em />

Therefore, probability of rolling at least 4 sixes is 0.01696.

8 0
3 years ago
Which relationship is a direct variation?
vekshin1
D because  each y value is obtained by multiplying  x by -2
y = -2x  which is direct variation.
8 0
3 years ago
Read 2 more answers
Joanna has a board that is 6 feet long. She cuts it in to pieces that are each 1/4 foot long. Which equation represents the numb
weeeeeb [17]
6/(1/4) = 24, 1/4 ft long pieces
3 0
3 years ago
1. Use the figure below to answer the questions.<br><br> (a) Solve for x.
Dmitry [639]

Let's see what to do buddy...

_________________________________

The sum of the angles of each n-sided figure is found in the following equation :

(n - 2) \times 180

The question's figure is 5-sindes figure

so the sum the angles equal :

(5 - 2) \times 180 = 3 \times 180 = 540 \\

So we have :

90 + 107 + 144 + 138 + x = 54 0 \\

479 + x = 540

Subtract the sides of the equation minus 479

x = 540 - 479

x = 61

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

5 0
3 years ago
Please solve will make as brainlist
worty [1.4K]

Answer:

6

Step-by-step explanation:

Double negative = positive

6 0
3 years ago
Read 2 more answers
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