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3 years ago

What are the steps to solving this equation 7x+3= 9x-3-2x

Mathematics

1 answer:

Luba_88 [7]3 years ago

7 0

Simplify:

7x+3=7x-3

Now 7x goes away and you get 3=-3, which cannot be true, so there is no solution

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The probability of winning on a slot machine is 5%. If a person plays the machine 500 times, find the probability of winning at

tamaranim1 [39]

Answer:

Between 0.01 and 0.20

Step-by-step explanation:

I am going to use the normal approximation to the binomial to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

In this problem, we have that:

$n = 500, p = 0.05$

$\mu = E(X) = np = 500*0.05 = 25$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{500*0.05*0.95} = 4.8734/tex]
Find the probability of winning at least 30 times.Using continuity correction, this is [tex]P(X \geq 30 - 0.5) = P(X \geq 29.5)$ . So this is 1 subtracted by the pvalue of Z when X = 29.5. Then

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{29.5 - 25}{4.8734}$

$Z = 0.92$

$Z = 0.92$ has a pvalue of 0.8212

1 - 0.8212 = 0.1788

So the correct option is:

Between 0.01 and 0.20

7 0

3 years ago

How can i better understand how to do this?

guajiro [1.7K]

Answer:

1.5 cm/s

Step-by-step explanation:

The graph shows the speed of a worm as a relationship between the distance it can travel in centimeters over time, or seconds. Since the graph forms a straight line, then we know that the speed of the worm is constant over time, meaning that he will move the same distance each second. Given the point (6,9) on the graph, this tells us that the worm moved 9 centimeters in 6 seconds or:

$\frac{distance}{time}=\frac{centimeters}{seconds}=\frac{9}{6}$

So, the ratio of centimeters over seconds is 9/6. However, unit rate is the distance every second or putting the ratio over '1'. We can do this by diving the numerator by the denominator or 9 ÷ 6 = 1.5 centimers/second.

4 0

3 years ago

Rewrite the following expression using exponents 1/16

mafiozo [28]

Answer:

6.25 * 10^-2

Step-by-step explanation:

hmmmmmmmmm

5 0

3 years ago

Read 2 more answers

Solve 2(x+1)=2x+2 A. All real numbers B. No solution C. 0 D. 1