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Arturiano [62]
2 years ago
6

Given: SV || TU and SVX = UTX

Mathematics
1 answer:
Vladimir [108]2 years ago
7 0

Answer: 2 is a given which is (SV | | TU)

I need help with the others.

Step-by-step explanation:

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4x – 3y=8<br> 2. 5x – 2y = -11
AlladinOne [14]

Answer:

x = -7

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Step-by-step explanation:

The given system is:

4x-3y=8

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We make x the subject in the top equation to get:

x =  \frac{3}{4}y + 2

Plug this expression for x in the bottom equation to get

5( \frac{3}{4}y + 2) - 2y=  - 11

We expand to obtain

\frac{15}{4} y + 10 - 2y =  - 11

Multiply through by 4

15y + 40 - 8y =  - 44

Group similar terms

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y =  -  \frac{84}{7}  =-12

This means

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3 years ago
If a procedure meets all of the conditions of a binomial distribution except the number of trials is not​ fixed, then the geomet
morpeh [17]

Answer:

The probability is 0.0428

Step-by-step explanation:

First, let's remember that the binomial distribution is given by the formula:

P(X=k) =\left[\begin{array}{ccc}n\\k\end{array}\right] p^{k}(1-p)^{n-k} where k is the number of successes in n trials and p is the probability of success.

However, the problem tells us that when there isn't a number of trials fixed, we can use the geometric distribution and the formula for getting the first success on the xth trial becomes:

P(X=x) = p(1-p)^{x-1}\\

The problem asks us to find the probability of the first success on the 4th trial (given that the first subject to be a universal blood donor will be the fourth person selected)

Using this formula with the parameters given, we have:

p = 0.05

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Substituting these parameters in the formula and solving it, we get:

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Therefore, the probability that the first subject to be a universal blood donor is the fourth person selected is 0.0428 or 4.28%

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Step-by-step explanation:

(2c + 8) + (6c - 6) = 90 \\ 8c + 2 = 90 \\ 8c = 88 \\ c =  \frac{88}{8}  = 11

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