The probability of picking a green grape is 1/2.
<h3>What is probability?</h3>
Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.
Since the probability of picking a red grape out of the bowl, eating it, and then picking a green grape out of the bowl is 1/8 and probability of picking just a red grape is 1/4 .
The probability of green grape will be the division. This will be:
= P(R and G) / P(R)
= 1/8 ÷ 1/4
= 1/8 × 4/1
= 1/2
The probability is 1/2.
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Rate/ speed = distance / time;
= 1/2mile / 300 seconds;
= 0.001666666..... mile/second
Replace the x in 7x by (3x + 1):-
(f o g)(x) = 7 * (3x + 1)
= 21x + 7 which is choice D.
We know that
the equation of the parabola is of the form
y=ax²+bx+c
in this problem
y=1/4x²−x+3
where
a=1/4
b=-1
c=3
the coordinates of the focus are
(-b/2a,(1-D)/4a)
where D is the discriminant b²-4ac
D=(-1)²-4*(1/4)*3-----> D=1-3---> D=-2
therefore
x coordinate of the focus
-b/2a----> 1/[2*(-1/4)]----> 2
y coordinate of the focus
(1-D)/4a------> (1+2)/(4/4)---> 3
the coordinates of the focus are (2,3)
The statement, "Julian's sister said he walked 1/5 mile" cannot be agreed because Julian totally walked miles.
<u>Solution:</u>
Given that,
- Julian walked 6/10 of a mile to his friends house
- Another 35/100 mile to the store
- He walked 1/4 of a mile back home
To find total distance walked by Julian we have to add the above stated values. That is,
Factors of 10 =
Factors of 100 =
Factors of 4 =
Therefore, the least common factor of 10, 100 and 4 is 100. With like denominators we can operate on just the numerators,
Which can also be written as .
So, from the above calculation it can be said that Julian walked .