Write a proportion. 16/19.69=25/x, then solve.
Answer:
Step-by-step explanation:
<u> </u>
3.4 or 3.4 repeating (3.4444444444444444444444∞)
and
3.44 rounded to the hundredth
Which of the following characteristics does The Love
Using the normal distribution, it is found that there is a 0.7549 = 75.49% probability that a randomly generated value of X is greater than a randomly generated value of Y.
<h3>Normal Probability Distribution
</h3>
In a <em>normal distribution</em> with mean and standard deviation , the z-score of a measure X is given by:
- It 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, which is the percentile of X.
- When two normal variables are subtracted, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variables.
In this problem:
- For variable X, .
- For variable Y, .
The the distribution of X - Y, we have that:
The probability that a randomly generated value of X is greater than a randomly generated value of Y is P(X - Y) > 0, which is <u>1 subtracted by the p-value of Z when X = 0</u>, hence:
has a p-value of 0.2451.
1 - 0.2451 = 0.7549.
0.7549 = 75.49% probability that a randomly generated value of X is greater than a randomly generated value of Y.
To learn more about the normal distribution, you can take a look at brainly.com/question/24663213
Answer:
Shannon's expression:
Kristoph's expression:
<h3>(A)</h3>
Notice that both expression has the same coefficient numbers: 4.2 and 1.4. That means to have the same results, we just need to have the same powers.
Without dividing the complete expression, you can observe that both powers are the same, because each you subtract 9-4 = 5, and 2-(-3) = 5, both gives the same exponent to the power of 10.
Therefore, both expression give the same result, because they have the same numbers and the same powers.
<h3>(B)</h3>
Let's solve the division to have the result in scientific notation.
Shannon's expression:
Kristoph's expression:
<h3>(C)</h3>
The standard form refers to each number written without the power. To do so, we need to move the decimal points the number of spots as the exponent demands. Notice that the exponent is 5, that means, we need to move the decimal point 5 spots to the right.
Therefore, the standard value of the expressions is 300,000.