Answer:
None
Step-by-step explanation:
If Angles B and D were equal, then:
AB // CD
And
BC // AD
Since we don't have any such information, we can not call any of them parallel
Answer:
And we can find this probability with this difference:
And in order to find these probabilities we can using tables for the normal standard distribution, excel or a calculator.
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 variable of interest 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 this difference:
And in order to find these probabilities we can using tables for the normal standard distribution, excel or a calculator.
Answer: Your anwser would be 408 please mark brainliest thank you
Step-by-step explanation:
Answer:
The given expression simplified is <em>48x + 64.</em>
Step-by-step explanation:
Solving this problem entails of simplifying the expression provided. We'll use the distributive law, or the distributive property, to write the expression in the simplest form.
Distributive law states:
- a(b + c) ⟶ (a × b) + (a × c)
We know that...
Following the rules of distributive law, we can set up the expression to match this property.
a(b + c) ⟶ 4(12x + 16) ⟶ (4 × 12x) + (4 × 16)
The expression will now be easier to simplify. Here, the last step would be to multiply the terms within the parentheses. Remember that we <u>cannot</u> multiply a number by a variable. When you multiply '4' by '12x', just multiply twelve and four, and leave the variable as is.
(4 × 12x) + (4 × 16)
48x + (4 × 16)
48x + 64
Think back on what I mentioned earlier about not being able to multiply a number by a variable. The same rule applies to adding two terms, in which one is a constant and the other consists of a coefficient <u>and variable</u>. Our simplified expression has '48x', which is a coefficient and variable, and '64', which is a constant. This means we cannot add these two terms together.
Our expression seems to be in the simplest form because no further actions can be taken. The correct answer should be <em>48x + 64.</em>
Answer:
a) 13, 10, 16
Step-by-step explanation:
The usual form of the triangle inequality requires the sum of the two shortest sides exceed the longest side (a+b>c). The only choice for which this is true is ...
10 + 13 > 16 . . . . choice A
_____
<em>Comment on the triangle inequality</em>
Some authors also allow the sum to equal the longest side (a+b≥c). In that case, choice B (1+2=3) is also an answer. This "triangle" would look like a line segment of length 3. It has zero area.
