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KiRa [710]
3 years ago
15

I need an explanation for this PLEASEE!

Mathematics
1 answer:
SashulF [63]3 years ago
4 0

Answer:

4)Y axis :X=0

5)A:2units B:4 units C:7units D:7units

A':2units B':4units C':7units D':7units

6)They are correspondingly the same

7)A(2;1) B(4;4) C(7;4) D(7;1)

A'(-2;1) B'(-4;4) C'(-7;4) D(-7;1)

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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
In a set of real numbers, the first number less then -3 is -4<br> true <br> or<br> false
Annette [7]

Answer:

true

Step-by-step explanation:

the bigger the number of a negative integer, the smaller the value become

8 0
3 years ago
Read 2 more answers
A probability that is computed with the knowledge of additional information is
lianna [129]

Answer: called conditional probability

6 0
3 years ago
Read 2 more answers
I have no idea what im doing
omeli [17]

Answer:

  • x = - 6

Step-by-step explanation:

A hole is an input value that makes both numerator and denominator equal to zero.

<u>Let's factorize the numerator and denominator:</u>

  • 3x² - 108 = 3(x² - 36) = 3(x + 6)(x - 6)
  • x² + 2x - 24 = x² + 6x - 4x - 24 = x(x + 6) - 4(x + 6) = (x - 4)(x + 6)

<u>We have same factor of x + 6:</u>

  • x + 6 = 0
  • x = - 6 is a hole
8 0
2 years ago
Write an inequality:<br><br> from (–5) to (–1) inclusive
Alekssandra [29.7K]

Answer:

Inclusive means that we'll use the signs ≤ and ≥. Let's call the variable in our inequality as x. Therefore, the answer is -5 ≤ x ≤ -1.

4 0
3 years ago
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