Answer:
choice D.) 0.9429
Step-by-step explanation:
Given a Normal data set
mean u = 54
standard deviation s = 3.8
we want P( X > 48)
Standardize this probability so we can use Z-scores.
P( X > 48) = P( (X - u)/s > (48 - 54)/3.8 ) = P(Z > -1.5789)
so I look for P ( Z > 1.5789) = 0.0571
so P(Z > -1.5789) = 1 - P(Z > 1.5789) = 1 - 0.0571 = 0.9429
The surface area of the triangular prism is 16cm
By identifying that it is a translation of the natural logarithm, we see that the function is:
g(x) = ln(x - 5).
<h3>
How to determine the function?</h3>
We can see that the function has a logarithmic behavior. We know that the function:
f(x) = ln(x)
Has an asymptote at x = 0, and is equal to 0 for x = 1.
For our function, we can see that the asymptote is at x = 5 and the zero is at x = 6. So the graphed function seems to be the natural logarithm translated 5 units to the right.
Then the function graphed is:
g(x) = f(x - 5) = ln(x - 5)
If you want to learn more about translations, you can read:
brainly.com/question/24850937
The data that can be identified from the box plot are Minimum and Median
<h3>How to determine the data that can be identified from the box plot?</h3>
The box plot is used to determine the five-number summary
The five-number summaries are:
- Minimum
- Lower quartile
- Median
- Upper quartile
- Maximum
From the list of options, we have:
Minimum and Median
Hence, the data that can be identified from the box plot are Minimum and Median
Read more about box plot at
brainly.com/question/3473797
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Answer:
w = -3/8
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define Equation</u>
-6(w + 2) = w - 9 + 3(3w + 1)
<u>Step 2: Solve for </u><em><u>w</u></em>
- Distribute: -6w - 12 = w - 9 + 9w + 3
- Combine like terms: -6w - 12 = 10w - 6
- Add 6w to both sides: -12 = 16w - 6
- Isolate <em>w</em> term: -6 = 16w
- Isolate <em>w</em>: -3/8 = w
- Rewrite: w = -3/8
