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2 years ago

Where is the blue dot on the number line?

Mathematics

2 answers:

kirza4 [7]2 years ago

6 0

Answer:

-6.8

Step-by-step explanation:

it is 3 units from -6.5 so you can even add them

-6.5 + 3

= -6.8

earnstyle [38]2 years ago

5 0

<em>Answer:</em>

–6.8

<em>Method:</em>

Counting backwards from –7 to –6.5

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If A and B are independent events with P(A) = .5 and P(B) = .2, find the following:a) P(A U B)b) P(A^c ? B^c)c) P(A^c U B^c)**No

Effectus [21]

If A and B are independent, then $P(A\cap B)=P(A)P(B)$ .

$P(A\cup B)=P(A)+P(B)-P(A\cap B)=P(A)+P(B)-P(A)P(B)$

$P(A\cup B)=0.5+0.2-0.5\cdot0.2$

$\boxed{P(A\cup B)=0.6}$

b. I'm guessing the ? is supposed to stand for intersection. We can use DeMorgan's law for complements here:

$P(A^c\cap B^c)=P(A\cup B)^c=1-P(A\cup B)$

$P(A^c\cap B^c)=1-0.6$

$\boxed{P(A^c\cap B^c)=0.4}$

c. DeMorgan's law can be used here too:

$P(A^c\cup B^c)=P(A\cap B)^c=1-P(A\cap B)=1-P(A)P(B)$

$P(A^c\cup B^c)=1-0.5\cdot0.2$

$\boxed{P(A^c\cup B^c)=0.9}$

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2 years ago

For f left parenthesis x right parenthesis equals StartRoot x EndRoot and g left parenthesis x right parenthesis equals 4 x plus

lara31 [8.8K]

Answer:

Step-by-step explanation:

Given that there are two functions f and g as

$f(x) = \sqrt{x} \\g(x) =4x+9$

We have to find the composition of functions.

Composition functions are calculated as the first function inside bracket and then the outside function of answer inside.

a) $fog= f{g(x)} =f(4x+9) = \sqrt{4x+9}$

b) $gof = g{f(x)} = g(\sqrt{x} )=4\sqrt{x} +9$

c) $fof = f(\sqrt{x} ) = \sqrt[4]{x}$

d) $gog = g(4x+9) = 4(4x+9)+9\\= 16x+45$

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3 years ago

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In terms of X then x would be equal to -2

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scoundrel [369]

Answer:

Step-by-step explanation:

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