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3 years ago

How can you show that two objects are proportional with a graph

Mathematics

1 answer:

Ray Of Light [21]3 years ago

3 0

Their angles/lengths (depending on which type of graph you are using) would be the same.

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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.)

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

d) P(less than 5 of them gain value.)

P(gain value) = 1 - 0.7 = 0.3

$P(x < 5)\\= P(x=0) + P(x = 1) + P(x=2) + P(x=3) +P(x = 4)\\ \binom{20}{0}(0.3)^{0}(1-0.3)^{20} +...+ \binom{20}{4}(0.3)^{4}(1-0.3)^{16} \\=0.2375$

7 0

3 years ago

The area of Brians rectangular Garden in square feet can be found by using the expression 6(2 x + 5y) Use the distributive prope

algol [13]

Given the area, to rewrite the function using distributive property we get:
6(2x+5y)
using distributive property we open the parenthesis, this will give us:
6×2x+6×5y
simplifying the above we get
=12x+30y

Answer: 12x+30y

6 0

2 years ago

The volume of a cube-shaped box with edges 6 centimeters in length?

Marizza181 [45]

Since the length of each side of cube is s.

Volume of a cube = s³ = s*s*s

Since length of side = 6cm

Volume = 6³ = 6*6*6 = 216

Volume = 216 cm³

Option A.

6 0

3 years ago

Read 2 more answers

There are 18 stores in California and 12 stores in Nevada the shops opens 10 new stores some are in California, and some are in

Rzqust [24]

That means there would be 28 in California and still 12 in Nevada or if California takes from Nevada it would be California 28 and Nevada 2

4 0

3 years ago

Which two products can you find 9 x 4

IgorLugansk [536]

Answer:

12 x 3 , 2 x 18

Step-by-step explanation:

9x4= 36. You need to find two numbers that multiply to equal 36. In this case, you can do 12 x 3, and 2 x 18

4 0

2 years ago