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Mathematics

2 answers:

V125BC [204]3 years ago

8 0

3 the answer will be 3

il63 [147K]3 years ago

4 0

Answer:

Step-by-step explanation:

the answer will be 3

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Which of the following is a result of the construction of a median of a triangle?

stich3 [128]

Answer:

" A side of the triangle is bisected "

Step-by-step explanation:

We have to choose the option which is the result of the construction of a median of a triangle.

When we draw a straight line from a vertex of a triangle to the midpoint of the opposite side then the straight line is called a median of the given triangle.

Hence, when we draw a median of a triangle then it results " A side of the triangle is bisected ". (Answer)

8 0

3 years ago

Read 2 more answers

4-It has been a bad day for the market, with 70% of securities losing value. You are evaluating a portfolio of 20 securities and

riadik2000 [5.3K]

Answer:

b) 0.0007

c) 0.4163

d) 0.2375

Step-by-step explanation:

We are given the following:

We treat securities lose value as a success.

P(Security lose value) = 70% = 0.7

Then the securities lose value follows a binomial distribution, where

$P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}$

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 20.

a) Assumptions

There are 20 independent trials.
Each trial have two possible outcome: security loose value or security does not lose value.
The probability for success of each trial is same, p = 0.7

b) P(all 20 securities lose value)

We have to evaluate:

$P(x = 20)\\= \binom{20}{0}(0.7)^0(1-0.7)^{20}\\= 0.0007$

0.0007 is the probability that all 20 securities lose value.

c) P(at least 15 of them lose value.)

$P(x \geq 15)\\= P(x=15) + P(x = 16) + P(x=17) + P(x=18) +P(x = 19) +P(x = 20)\\ \binom{20}{15}(0.7)^{15}(1-0.7)^{5} +...+ \binom{20}{20}(0.7)^{20}(1-0.7)^{0} \\=0.4163$