Answer:
a ≈ 6.5 cm
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
<u>Geometry</u>
Volume of a Cube Formula: V = a³
- <em>a</em> is a side length
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
<em>V</em> = 270 cm³
<u>Step 2: Solve for </u><em><u>a</u></em>
- Substitute in variables [Volume of a Cube Formula]: 270 cm³ = a³
- [Equality Property] Cube root both sides: 6.4633 cm = a
- Rewrite: a = 6.4633 cm
- Round: a ≈ 6.5 cm
The value of the missing probability is:
P(A) = 1/5
So the correct option is D.
<h3>How to find the missing probability?</h3>
First, we know that:
P(A∩B) = probability that events A and B are true = 3/100
And we also know that:
P(B|A) = probability that event B is true given that event A is true = 3/20
Here we have the rule:
P(A∩B) = P(B|A)*P(A)
Replacing the first two:
3/100 = (3/20)*P(A)
Solving for P(A), we get:
(3/100)*(20/3) = 1/5 = P(A).
So we conclude that the correct option for the missing probability is the one in option D.
If you want to learn more about probability:
brainly.com/question/25870256
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Answer:
two
Step-by-step explanation:
<h3>
Answer: orthogonal </h3>
===========================================================
Explanation:
For any two vectors defined as follows
u = <a,b>
v = <c,d>
the dot product is computed by
u dot v = a*c + b*d
If the dot product of the vectors is 0, then the vectors are orthogonal. Meaning they are perpendicular to one another.
-------------------
Let's find the dot product of these two given vectors
u = < 2, -4 >
v = < 6, 3 >
u dot v = 2*6 + (-4)*3
u dot v = 12 - 12
u dot v = 0
Therefore, these two vectors form a right angle and are <u>orthogonal</u>
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Extra info:
If we can show that u = <a, b> and v = <ka, kb> for some real number k, then we have shown that vectors u and v are parallel.
First lets convert feet to miles: if 1 mi = 5280 feet then 7200 feet / 5280 feet = 1.364 miles. Now we need to see how much degrees does the boiling point for water decreases: if 1 mile = 5 degrees Celsius, then 0.364 miles correspond to 0.364*5=1.82 degrees Celsius. So now we add the two values: 5+1.82 = 6.82 degrees Celsius. Now we find the decrease in the boiling point of water: 100-6.82 = 93.18 degrees Celsius. So at 7200 feet above sea level, in Santa Fe, the water boils at 93.18 degrees Celsius.
