Answer:
or
, where
Step-by-step explanation:
The given trigonometric equation is:
By the zero product principle;
Either or
When , then
When , then
This implies that:
Therefore the general solution is or
, where
What number (when written as word) becomes a musical sound if one letter is added to the beginning
1 answer:
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Answer:
P(111.2-cm < ¯ x < 111.4-cm) = 0.4726
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
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.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this problem, we have that:
Find the probability that the average length of a randomly selected bundle of steel rods is between 111.2-cm and 111.4-cm.
This is the pvalue of Z when X = 111.4 subtracted by the pvalue of Z when X = 111.2. So
X = 111.4
By the Central Limit Theorem
has a pvalue of 0.5.
X = 111.2
has a pvalue of 0.0274.
0.5 - 0.0274 = 0.4726
P(111.2-cm < ¯ x < 111.4-cm) = 0.4726
Answer:
18 days
Step-by-step explanation:
Let x represent number of days.
We have been given that Brandy's watch falls 1 second every day. So Brandy's watch will fall seconds behind in x days.
We are also told that Brandy set her watch 4 seconds behind, so Brady's watch will be behind by total seconds in x days.
Since Brady's watch is 22 seconds behind, so we will equate by 22 to solve for x as:
Therefore, Brandy set her watch 18 days ago.
The mistakes that Joan made are:
- The y-axis does not start from zero.
- The width of the bars are not equal.
- The space between the bars are not equal.
</h3>
A bar chart is a graph that shows the numerical values of variables represented by the height rectangles of equal width.
In a bar graph, the rectangles must be of equal width and the space between each bars must be equal.
Please find attached an image of the bar chart. To learn more about bar charts, please check: brainly.com/question/18092827
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