Answer:
0.173 probability that she gets exactly three questions correct.
Step-by-step explanation:
For each question, there are only two possible outcomes. Either she guesses the correct answer, or she does not. The probability of guessing the correct answer for a question is independent of other questions. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
Seven questions:
This means that 
Each question has four choices.
Abby guesses, which means that 
Find the probability to the nearest thousandth, that Abby gets exactly three questions correct.
This is P(X = 3).
Basically there are 3 addition properties and they are associative property, identity property, and commutative property.
Commutative property is just changing the order of the addends. Example: 26+19+34+21= 21+34+19+26
Identity Property is just adding a 0 to the number that doesnt change anything. Example: 26+19+34+21 +0 = 100
Associative property is just changing the grouping of the addends. Example: (26+19) + (34+21)
I know these properties may be complicated i know inhate them too haha but i hope i helped :) if you want you can search up the distributive property too but its with multiplication and addition combined and its harder but i think these are the 3 main properties.
Answer:
24/35 hours or 0.69 hours
Step-by-step explanation:
we know that
The speed is equal to divide the distance by the time
Let
x-----> distance traveled by John
(24-x) ----> distance traveled by Ramona
The time is equal to divide the distance by the speed
so
x/20=(24-x)/15
15x=20(24-x)
15x=480-20x
15x+20x=480
35x=480
x=480/35 miles
the time is equal to
t=x/20
t=480/(20*35)=24/35=0.69 hours
Answer:
Ball Bearing Volume = (4 / 3) * PI * radius ^3
Volume = (4 / 3) * 3.14159265 * (.35)^3
Volume = (4 / 3) * 3.14159265 * 0.042875
Volume = 0.17959438 cc
1 cc of steel = 7.8 g
Volume of 1 kg of steel = 1,000 cc / 7.8 g per cc
1 kg = 128.205 cc
Number of ball bearings we can make = 128.205 / 0.17959438
Equals 713.86
Step-by-step explanation:
Answer:
Step-by-step explanation:
From the question we are told that:
Function given
Co-ordinates
(x,y)=[1, 4]
Generally the second differentiation of function is mathematically given by
Therefore critical point
Generally the substitutions of co-ordinate into function is mathematically given by
For 1
For 4
For critical point 3
Therefore the maximum value of f(x) = –x2 + 6x over the interval [1, 4] is given by
