Need help 8th grade math
2 answers:
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Answer:
The total population of these two states is:
Therefore, option C is correct.
Step-by-step explanation:
- The population of California is approximately 38,040,000.
- The population of Texas is about 2.606 × 10⁷.
Writing the population of California i.e.38,040,000 in scientific notation by moving the decimal point 7 places to the left and dropping the 0's on the right side as they're after the decimal point now.
i.e.
38,040,000 = 3.804 x 10⁷
So adding 3.804 x 10⁷ and 2.606 × 10⁷
i.e.
Thus, the total population of these two states is:
Therefore, option C is correct.
Answer:
And we can find this probability with the complement rule:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the average homicide rate for the cities of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability with the complement rule: