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2 years ago

2x≥12 I can't figure this out

Mathematics

2 answers:

Serhud [2]2 years ago

7 0

Answer:

$x \geq 6$

Step-by-step explanation:

You can start by dividing both sides by 2, getting $x \geq 6$ .

JulijaS [17]2 years ago

3 0

Answer:

Step-by-step explanation:

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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

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

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2 years ago

A recipe calls for 2 cups of water for every 3 cups of flour. How much water is needed if you use 12 cups of flour?

Tju [1.3M]

Answer:

8 cups of water

Explanation:

2 cups of water = 3 cups of flour

x cups of water = 12 cups of flour

12/3=4

2x4=8

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2 years ago

Tickets to a school play cost $1.50 for a student and $2.50 for an adult. Clara sold 5 tickets for a total of $10.50. How many o

joja [24]

<span> 2 student tickets
</span><span>=1.50+1.50+2.50+2.50+2.50=10.50</span>

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The Flip-Flop-Alot Company makes and sells flip-flops. They have one linear function that represents the cost of producing flip-

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The answer is A.

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2 years ago

2x≥12 I can't figure this out ​

2x≥12 I can't figure this out