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3 years ago

K(n)=n^3-3n; Find k(-5)

Mathematics

1 answer:

kozerog [31]3 years ago

5 0

Answer:

The answer to your question is: k(-5) = -115

Step-by-step explanation:

Function k(n) = n³ - 3n find k(-5)

k(-5) = (-5)³ - 3(-5) substitution

k(-5) = -125 + 15 simplify

k(-5) = -115

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It is believed that 3% of people actually have this predisposition. The genetic test is 99% accurate if a person actually has th

fiasKO [112]

Answer:

Required Probability = 0.605

Step-by-step explanation:

Let Probability of people actually having predisposition, P(PD) = 0.03

Probability of people not having predisposition, P(PD') = 1 - 0.03 = 0.97

Let PR = event that result are positive

Probability that the test is positive when a person actually has the predisposition, P(PR/PD) = 0.99

Probability that the test is positive when a person actually does not have the predisposition, P(PR/PD') = 1 - 0.98 = 0.02

So, probability that a randomly selected person who tests positive for the predisposition by the test actually has the predisposition = P(PD/PR)

Using Bayes' Theorem to calculate above probability;

P(PD/PR) = $\frac{P(PD)*P(PR/PD)}{P(PD)*P(PR/PD)+P(PD')*P(PR/PD')}$

= $\frac{0.03*0.99}{0.03*0.99+0.97*0.02}$ = $\frac{0.0297}{0.0491}$ = 0.605 .

7 0

3 years ago

Francis earns $3.50 an hour mowing lawns, and bella earns $5.25 an hour babysitting and spends $11 a week on books. francis also

aleksklad [387]

The only way for you to get an answer is by doing $5.25x2=$10.5 and $3.50x3=$10.50

6 0

3 years ago

If g + 11 = 16, then evaluate 5g + 12

mote1985 [20]

Answer:

Step-by-step explanation:

g= 5 because 11+5 = 16

so 5*5 is 25 + 12 would equal 37

5 0

3 years ago

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A rectangular prism is 8 feet long, 3 feet high, and 6 feet wide. A cubic foot of water is approximately 7.5 gallons. How many g

Yuliya22 [10]

810 gallons of water when it is 75% full.

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3 years ago

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Consider the line segment YZ with endpoints Y(-3,-6) and Z(7,4). What is the y-coordinate of the midpoint of line segment YZ?

tatiyna

Given:

Consider the line segment YZ with endpoints Y(-3,-6) and Z(7,4).

To find:

The y-coordinate of the midpoint of line segment YZ.

Solution:

Midpoint formula:

$Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

The endpoints of the line segment YZ are Y(-3,-6) and Z(7,4). So, the midpoint of YZ is:

$Midpoint=\left(\dfrac{-3+7}{2},\dfrac{-6+4}{2}\right)$

$Midpoint=\left(\dfrac{4}{2},\dfrac{-2}{2}\right)$

$Midpoint=\left(2,-1\right)$

Therefore, the y-coordinate of the midpoint of line segment YZ is -1.

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3 years ago