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IceJOKER [234]
3 years ago
8

write the standard form of the line that passes through the given points include your work in your final answer type your answer

in the Box provided or use the upload often to submit your answer. (1,1) and (3,4)
Mathematics
1 answer:
Gemiola [76]3 years ago
4 0
The slope is change in "Y" divided by the change in "x"
1-(-3)/2-(-1)
 = 4/3

Standard Form
y-y1=m(x-x1)
y-(-3)=4/3(x-(-1)
y+3=4/3x+4/3
y=4/3x-5/3

Rewrite in standard form
-4/3x+y=-5/3
Can't have fractions so multiply by 3 to get rid of the denominator
-4x+3y=5
Divide by -1 to get rid of the negative sign

4x-3y=-5


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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
Solve the equation: x+33=40
11Alexandr11 [23.1K]
The answer would be 7. Another way to think of it is subtract 40-33. That gets you 7.
6 0
3 years ago
Zack wants to make a profit more than $300 for painting 4 identical rooms. The profit he makes is equal to the amount he is paid
crimeas [40]
Profit = paid - supplies

Plug in the given values. We are finding out how much money he needs per room, if he is doing 4 rooms, and subtracting the supplies: 300 = 4n - 4*32.50

Simplify: 300 = 4n - 130

Add 130 to each side. 430 = 4n

Divide by 4 on each side: 107.50= n

300 = 4(107.50) - 130? True

This tells us he must be paid $107.50 to make $300 exactly. Anything larger than $107.51 and up will make more than $300.

3 0
3 years ago
PlsAnsweRRRRR<br><br><br><br>The median value is .
Anna11 [10]

Answer:

The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average. ... If there is an odd amount of numbers, the median value is the number that is in the middle, with the same amount of numbers below and above.

Step-by-step explanation:

3 0
2 years ago
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What is the numerical coefficient of the first term
Ira Lisetskai [31]

Answer:

the number before the first variable (first term)

Step-by-step explanation:

this appears to be an incomplete question. The numerical coefficient of a term is the number before the variable.

the constant is the number without a variable.

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3 years ago
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