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2 years ago

Is the graphed function linear?

Mathematics

2 answers:

andreev551 [17]2 years ago

8 0

Answer:

Yes, because each input value corresponds to exactly one output value.

Anna11 [10]2 years ago

6 0

Yes, because each input value corresponds to exactly one output value.Yes, because the outputs increase as the inputs increase.No, because the graph is not continuous.No, because the curve indicates that the rate of change is not constant.

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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

Simplify 3 3/4- 1/5

gulaghasi [49]

Answer: 3 11/20

Step-by-step explanation:

You would first simplify 3 3/4 which is 15/4 then you would subtract it with 1/5

Next, you would have to find the GCD ( greatest common factor) for 15/4 and 1/5 which is 20 so multiply 15 by 5 and 4 by 5 which is 75/20, then multiply the top and bottom with 4 for 1/5 which is 4/20 . You then would subtract the simplified forms 75/20 with 4/20 Which is 71/20 which u can simplify to

3 11/20.

7 0

3 years ago

Find the value of the trigonometric function to find an approximate value correct to give decimal places

liq [111]

If you have a graphing calculator set it to radian mode and put these in there.

6 0

3 years ago

Find two possible factors for the estimated product 2,800

CaHeK987 [17]

28 x 100 and 280 x 10

5 0

3 years ago

Fmfrjrjdjejeidisiiiidiidsisiiisi

SVEN [57.7K]

Answer:

The answer is,

$r = \frac{3t}{t - 1}$

Step-by-step explanation:

$t = \frac{r}{ r - 3}$

Firstly, you have to get rid of fraction by multiplying (r-3) to both side and expand out:

t × (r-3) = r/(r-3) × (r-3)

rt - 3t = r

Then you have to move all the "r" variables to one side and other variables to the other side:

rt - r = 3t

You can make "r" as a subject by taking out the common term, you can see that the common term on the left is "r" so you can bring out:

r(t-1) = 3t

r = 3t/(t-1)

4 0

3 years ago