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3 years ago

Solve the equation -2(2x - 4) = 4x Write it step by step. I really need help

Mathematics

2 answers:

lilavasa [31]3 years ago

4 0

Here buddy !!!!!!!!!!!

Artist 52 [7]3 years ago

3 0

Answer:

x = 1

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−2(2x−4)=4x

(−2)(2x)+(−2)(−4)=4x(Distribute)

−4x+8=4x

Step 2: Subtract 4x from both sides.

−4x+8−4x=4x−4x

−8x+8=0

Step 3: Subtract 8 from both sides.

−8x+8−8=0−8

−8x=−8

Step 4: Divide both sides by -8.

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In a city, 35% of the bus riders with a monthly pass are students. in a random sample of 50 bus riders with monthly passes, 23 a

inessss [21]

Answer:

ρ = 35% or 0.35

ρ with ^ = $\frac{23}{50}=0.46$ or equivalently 46%

Step-by-step explanation:

ρ represents the population proportion of the bus riders, with a monthly pass, who are students.

The population proportion is simply the percentage of the entire population with a particular characteristic. We have been informed that in a city, 35% of the bus riders with a monthly pass are students. This means that 35% of the whole population of bus riders with a monthly pass are students. Therefore, our ρ is simply 35% or 0.35.

ρ with ^ represents the sample proportion of the bus riders, with a monthly pass, who are students. This is a statistic or an estimator as it is normally used to estimate the value of ρ, the population proportion. It is calculated using the formula;

ρ with ^ = $\frac{x}{n}$

where n represents the size of the sample and x the number of individuals in the sample with a certain desired characteristic. We have been informed that;

in a random sample of 50 bus riders with monthly passes, 23 are students.

Using the above formula and the values given we have;

ρ with ^ = $\frac{23}{50}=0.46$ or equivalently 46%

3 0

3 years ago

When doing blood testing for a viral infection, the procedure can be made more efficient and less expensive by combining partial

Serjik [45]

Answer:

0.1694 = 16.94% probability of a positive result for three samples combined into one mixture.

Step-by-step explanation:

For each test, there are only two possible outcomes. Either it is positive, or it is negative. The probability of a test being positive or negative is independent of any other test, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

The probability of an individual blood sample testing positive for the virus is 0.06.

This means that $p = 0.06$

If samples from three people are combined and the mixture tests negative, we know that all three individual samples are negative. Find the probability of a positive result for three samples combined into one mixture.

It will be positive if at least one of the tests is positive, that is:

$P(X \geq 1) = 1 - P(X = 0)$