Answer:
a)
And if we solve for we got:
b) False
The reason is because we don't satisfy the following relationship:
We have that:
c) False
In order to satisfy independence we need to have the following condition:
And for this case we don't satisfy this relation since:
Step-by-step explanation:
For this case we have the following probabilities given:
Part a
We want to calculate the following probability:
And we can use the total probability rule given by:
And if we solve for we got:
Part b
False
The reason is because we don't satisfy the following relationship:
We have that:
Part c
False
In order to satisfy independence we need to have the following condition:
And for this case we don't satisfy this relation since:
Answer:
C
Step-by-step explanation:
y = 2x + 5
the slope (m) of this line is 2 (which can be written as 2/1)
The slope of a perpendicular line is -1/m (the reciprocal of the slope with the opposite sign)
so m = 2/1 => -1/m = - 1/2 = the slope of a line perpendicular to y = 2x + 5
Answer:
Lo averiguaste, lo siento, amigos míos, por haberlos ayudado. pero la respuesta es 456 $.
Step-by-step explanation:
Using translation concepts, the changes are described as follows:
a) The function is vertically stretched by a factor of 3, and shifted down 2 units.
b) The function is shifted 1 unit right and 4 units down.
c) The function is horizontally compressed by a factor of 2 and shifted up 5 units.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
Item a:
The changes are as follows:
- y -> 3y, hence the function is vertically stretched by a factor of 3.
- y -> y - 2, hence the function is shifted down 2 units.
Item b:
The changes are as follows:
- x -> x - 1, hence the function is shifted right 1 unit.
- y -> y - 4, hence the function is shifted down 4 units.
Item c:
The changes are as follows:
- x -> 0.5x, hence the function is horizontally compressed by a factor of 2.
- y -> y + 5, hence the function is shifted up 4 units.
More can be learned about translation concepts at brainly.com/question/4521517
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You can divide 1800 by 10 and times it by 4 giving a answer of 720