As Jupiter revolves around the sun, it travels at a speed of approximately 8 miles per second. Convert this speed to kilometers
1 answer:
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Answer:
K(x) = ( curvature function)
Step-by-step explanation:
considering the Given function
F(x) =
first Determine the value of F'(x)
F'(x) =
F'(x) = -10x
next we Determine the value of F"(x)
F"(x) =
F" (x) = -10
To find the curvature function we have to insert the values above into the given formula
K(x)
K(x) = ( curvature function)
There are 160 dolls in the store.
<u><em>Explanation</em></u>
The ratio of the number of teddy bears to the number of dolls is given as
Suppose, the number of teddy bears and the number of dolls
Given that, the store has 60 teddy bears. That means....
(Dividing both sides by 3)
So, the number of dolls in the store
Answer:
The answer is D. 0.75
Step-by-step explanation:
Let call R the event that a person is rascal, RC a person is not rascal, TH a person use top hat and NTH a person don’t use top hat.
From the information on the question we have 4 options with their respective probability:
1. A person could be rascal and use top Hat: this probability is calculate as the multiplication of the probability of be a rascal (0.5) and use a top hat (0.9), then:
P(R y TH)=0.5*0.9=0.45
2. A person could be rascal and don’t use top Hat: this probability is calculate as the multiplication of the probability of be a rascal (0.5) and not use a top hat (0.9), then:
P(R y NTH)=0.5*0.1=0.05
3. A person could be not rascal and use top Hat: this probability is calculate as the multiplication of the probability of not be a rascal (0.5) and use a top hat (0.3), then:
P(RC y TH)=0.5*0.3=0.15
4. A person could be not rascal and not use top Hat: this probability is calculate as the multiplication of the probability of not be a rascal (0.5) and not use a top hat (0.7), then:
P(RC y NTH)=0.5*0.7=0.35
Then the probability that a person is a rascal given that he is wearing a top hat could be written and calculate as:
For calculate P(TH) we need to sum all the option in which TH is involve so:
P(TH) = P(R y TH)+ P(RC y TH)
P(TH)=0.45+0.15=0.6
Replacing values on the first equation we get:
So, the probability that a person is a rascal given that he is wearing a top hat is 0.75