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xxTIMURxx [149]
3 years ago
14

A new shoe comes in two colors, black or red, and in sizes from 5 to 12, including half sizes. If a pair of the shoes is chosen

at random for a store display, what is the probability it will be red and size 9 or larger?
Mathematics
1 answer:
GrogVix [38]3 years ago
8 0
Their are 28 different options
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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
2 years ago
What is-2 |x+7| + 3 =19
RideAnS [48]
-2(x+7)+3=19
-2x-14+3=19
-2x-11=19
-2x=8
x=4
3 0
3 years ago
Read 2 more answers
Solve the equation 2x-11=k for x
Lilit [14]

x = k/2 + 11/2

Step-by-step explanation:

\frac{k}{2} + \frac{11}{2} = \frac{k+11}{2}

hope this helped :)

4 0
2 years ago
Please helppp 3/4+(1/3÷1/6)-(-1/2)=​
geniusboy [140]

Answer:

your answer should be 3 1/4

Step-by-step explanation:

6 0
2 years ago
Can i please get some help with this
zlopas [31]

Answer:

when x is 1 y is 3

when x is 2 y is 7

when x is 3 y is 11

when x is 4 y is 15

6 0
3 years ago
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