The number 390.0826 in an expanded form is 300 + 90 + 8/100 + 2/1000 + 6/10000
<h3>How to write the number in an expanded form?</h3>
The number is given as:
390.0826
Next, we split the numbers:
This is done as follows:
390.0826 = 300 + 90 + 0.08 + 0.002 + 0.0006
Express the decimals as fractions
390.0826 = 300 + 90 + 8/100 + 2/1000 + 6/10000
Hence, the number 390.0826 in an expanded form is 300 + 90 + 8/100 + 2/1000 + 6/10000
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The "constant of proportionality" is the value that relates the two amounts<span>Example: you are paid $20 an hour (continued)<span>The constant of proportionality is 20 because:</span></span><span><span>Earnings = 20 × Hours worked</span></span>
<span><span />This can be written: y = kx</span>
<span><span>Where k is the constant of proportionality
</span></span>
Using the normal distribution, we have that:
- For a single value, P(X < 79.1) = 0.5517.
- For the sample of n = 155, P(X < 79.1) = 0.9463.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean 
and standard deviation 
is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
- By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation
.
The mean and the standard deviation are given, respectively, by:
.
The probability is the <u>p-value of Z when X = 79.1</u>, hence:
Z = (79.1 - 76.2)/22.4
Z = 0.13
Z = 0.13 has a p-value of 0.5517.
Hence: P(X < 79.1) = 0.5517.
For the sample of 155, applying the Central Limit Theorem, the standard error is:
s = 22.4/sqrt(155) = 1.8
Hence:
Z = (79.1 - 76.2)/1.8
Z = 1.61
Z = 1.61 has a p-value of 0.9463.
P(X < 79.1) = 0.9463.
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Answer:
$62.10
Step-by-step explanation:
To calculate how much the employee's discount actually was, we just multiply the original price by the discount
Plug the prices in --> 138 x 45/100
Simplify 45/100 --> 9/20
138/1 x 9/20 = 1242/20
1242/20 = 62.1
62.1 = $62.10
and thus, the discount is $62.10
Answer:
x = 127
Step-by-step explanation:
The angles are alternate exterior angles and alternate exterior angles are equal when the lines are parallel
x = 127
