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3 years ago

Calculus question....does anyone know how to solve this?

Mathematics

1 answer:

iogann1982 [59]3 years ago

6 0

$h(x)=(f\circ g)(x)$
$\sqrt{x+5}=\sqrt{g(x)+2}$
$x+5=g(x)+2$
$g(x)=x+3$

Just to check this is correct:

$(f\circ g)(x)=f(g(x))=f(x+3)=\sqrt{(x+3)+2}=\sqrt{x+5}=h(x)$

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$P(A')=1-0.411=0.589$

And that represent the probability that they take longer than 7 minutes to solve the puzzles.

Step-by-step explanation:

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: $P(A)+P(A') =1$

On this case we have that n= 56 represent the employees selected to solve the puzzles.

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Let's define the events A and A' like this:

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By the complement rule then:

A' : Employees solved puzzles in more than 7 minutes

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We can begin finding P(A), from the definition of probability we know:

$P(A)=\frac{Possible outcomes}{Total outcomes}$

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$P(A) =\frac{23}{56}=0.411$

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3 years ago

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1 gal. = 16 c.

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44 - 35 = 9 cups of lemonade

58 - 35 = 23 cups of punch

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Obviously, then, Bob will have enough drinks.

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3 years ago

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Answer: Third option:

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The equation in Slope Intercept form of a line that does not pass through the point (0,0), which is known as "Origin, is the following:

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The only equation that matches with that form, is the one given in the Third option. This is:

$y=2x$

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