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kirza4 [7]
2 years ago
6

Dan was thinking of a number. Dan subtracts 2.6 from the number and gets an answer of 72.8. Form an equation with

Mathematics
1 answer:
nirvana33 [79]2 years ago
8 0

Answer: x - 2.6 = 72.8

x is the number which Dan was thinking (x > 2.6)

we have:

x - 2.6 = 72.8

Step-by-step explanation:

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Which of the following is a solution y=3x-1<br> A.(4,1)<br> B.(2,5)<br> C.(4,3)<br> D.(0,-3)
mote1985 [20]
Y=3x-1 (2, 5),

Answer is B (2, 5)
8 0
3 years ago
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
What can you say about the y-values of the two functions <img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%203%5Ex-3" id="TexForm
slavikrds [6]

Answer:

a) The minimum y-value of f(x) is -3

d) The minimum y-value of g(x) is -3

Step-by-step explanation:

Given in the question that,

f(x) = 3^{x}-3

g(x) = 7x² - 3

<h3>A)</h3>

At large negative exponents, the value approaches to zero

y = 3^{-100}-3=-3

y = 3^{-1000}-3=-3

y = 3^{-10000}-3=-3

<h3>B)</h3>

Minimum y-value of g(x) will be when x = 0

y = 7x² - 3

y = 7(0) - 3

y = -3

4 0
2 years ago
Im trying to figure out the answer
Molodets [167]

Step-by-step explanation:

\sqrt{35} =\sqrt{5} *\sqrt{7};

all the details are in the attachment.

3 0
2 years ago
Can someone please explain to me how to get the answer for the question is the picture? I don't get it at all, and the internet
AlekseyPX

Answer:

The original price of the item is $28.

Step-by-step explanation:

So to find the original price, we have to divide the sale price by the result of one minus the discount in percentage form.

So:

First convert 25% to a decimal, 0.25.

OP(original price) = 21 ÷ 1 - 0.25 =

1 - 0.25 = 0.75

21 ÷ 0.75 = 28.

5 0
3 years ago
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