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3 years ago

3x + 2y = 30 5x - 2y = 2 X= Y=

Mathematics

1 answer:

Aleks04 [339]3 years ago

4 0

Answer:

x=4 y=9

Step-by-step explanation:

add the equations

8x=32

x=4

20-2y=2

2y=18

y=9

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What is the value of x? 27(x+4)=−6 −35 −25 25 35

barxatty [35]

Answer:

The answer to your question is: non of the answers

Step-by-step explanation:

equation: 27(x + 4) = -6

27x + 108 = -6

27x = -6 -108

27x = -114

x = -114/27

x = -38/9

None of the above

6 0

3 years ago

Read 2 more answers

There are 1200 students at Sophie’s school. One student’s name will be drawn at random to win a new bike. Hannah and Ethan are S

fomenos

Hi Mackenzie.

Given that we have a probability question with the term "or", we are going to be adding individual probabilities.
We have Ethan, Hannah, and Sophie all included with the drawing.
This means we need to add each of their individual probabilities, 1/1200, together.

1/1200 + 1/1200 + 1/1200 = 3/1200;
To simplify: 1/400

Your answer is:
The probability of Ethan, Hannah, or Sophie being drawn is 1/400.

I hope this helps!

5 0

3 years ago

An airplane has 100 seats for passengers. Assume that the probability that a person holding a ticket appears for the flight is 0

zmey [24]

Answer:

96.33% probability that everyone who appears for the flight will get a seat

Step-by-step explanation:

I am going to use the binomial approximation to the normal 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 $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .