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3 years ago

Right angle triangle bisector divorce hypotenuse to two segments 15 and 20. Find right angle triangle's perimeter.

Mathematics

1 answer:

fenix001 [56]3 years ago

5 0

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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

Let X = Number of sixes on a die

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

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

8 0

3 years ago

Question 5 of 10

kkurt [141]

Answer:

4 solutions

Step-by-step explanation:

if the equation is 2x^4 -3x^3 -24x^2 +13x +12 = 0 you look at the highest degree to find how many solutions. the degree being the highest exponent. so in this case it would be the exponent that is 4 so there should be 4 solutions.

3 0

3 years ago

What number goes I the blanket make this equation true 17-9 = 6+ ____

NeTakaya

Answer:

Step-by-step explanation:

well first do 17-9= (17-7)-2=10-2=8

so 8=6+_

subtract 6 from both sides and you get

2=_

so the blank is 2

7 0

2 years ago

Read 2 more answers

Tasha plans to tile the floor in her room with square tiles that are 1/4 foot long. Will she use more or fewer tiles if she is o

Allisa [31]

She will need less tiles because the common dinominator of 4 and 3 is 12.
1/4 =3/12 and 1/3 = 4/12.
do as you see 1/3 is greater than 1/4 therefore she will need less tiles

7 0

3 years ago

Find the a) perimeter and b) area of a rectangle that is 12 inches long and 6.5 inches wide.

Masja [62]

A) 36 inches and b) 78 inches squared

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3 years ago