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2 years ago

12

In the circle above, FH and GJ are chords which intersect at point K. If FK = 3 mm, HK = 4 mm, and GK = 2 mm, what is the length

of JK?

1 answer:

Svetach [21]2 years ago

6 0

We have a formula for that( according to the Intersecting chords theorem)
$fk \times hk = gk \times jk$
3×4=2×jk
6=jk

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3 years ago

What is the 9th term of the geometric sequence 4, −20, 100, …?

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First, we are going to find the common ratio of our geometric sequence using the formula: $r= \frac{a_{n}}{a_{n-1}}$ . For our sequence, we can infer that $a_{n}=-20$ and $a_{n-1}=4$ . So lets replace those values in our formula:
$r= \frac{-20}{4}$
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Now that we have the common ratio, lets find the explicit formula of our sequence. To do that we are going to use the formula: $a_{n}=a_{1}*r^{n-1}$ . We know that $a_{1}=4$ ; we also know for our previous calculation that $r=-5$ . So lets replace those values in our formula:
$a_{n}=4*(-5)^{n-1}$

Finally, to find the 9th therm in our sequence, we just need to replace $n$ with 9 in our explicit formula:
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2 years ago

4.) The time X (minutes) for a lab assistant to prepare the equipment for a certain experiment is believed to have a uniform dis

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Answer:

$P(35-2 < X 35+2) = P(33< X< 37)= P(X$

And using the cumulative distribution function we got:

$P(35-2 < X 35+2) = P(33< X< 37)= P(X$

The probability that preparation is within 2 minutes of the mean time is 0.134

Step-by-step explanation:

For this case we define the following random variable X= (minutes) for a lab assistant to prepare the equipment for a certain experiment , and the distribution for X is given by:

$X \sim Unif (a= 20, b =50)$

The cumulative distribution function is given by:

$F(x) = \frac{x-a}{b-a} , a \leq X \leq b$

The expected value is given by:

$E(X) = \frac{a+b}{2} = \frac{20+50}{2}=35$

And we want to find the following probability:

$P(35-2 < X 35+2) = P(33< X< 37)$

And we can find this probability on this way:

$P(35-2 < X 35+2) = P(33< X< 37)= P(X$

And using the cumulative distribution function we got:

$P(35-2 < X 35+2) = P(33< X< 37)= P(X$

The probability that preparation is within 2 minutes of the mean time is 0.134

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3 years ago

A vehicle rental company charges $35 to rent a moving van plus $.40 for each mile traveled. Which expression represents the tota

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Answer:

B

Step-by-step explanation:

B is the answer

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2 years ago

Read 2 more answers