11 times with a remainder of 5
The question seems to be pointing towards a multiple choice response but I will do my best. The first equation would be 15x+12y=9.30 and the second would be 10x+4y=4.60, x represents flour and y represents sugar.
Hope this helps.
Answer:
The probability that your friend had sprinkles given that he had chocolate is approximately 0.357 or 0.36 if you round it to 2 decimals.
Step-by-step explanation:
Let's define the following events:
C = "Your friends like chocolate flavor"
S = "Your friends like sprinkles topping"
We also know that , and . We are interested in the probability of given that your friend had chocalate what is the probability that he also likes sprinkles, in other words we want . Note that,
To solve this, we are going to use the formula for the area of the sector of a circle:
where
is the area of the circular sector.
is the radius of the circle.
is the central angle in radians.
We know form our problem that that the measure of the central angle is 1 radian, so
. We can also infer from the picture that the radius of the circle is 3in, so
. Lets replace those values in our formula to find
:
We can conclude that the area of the circular sector in the picture is
4.5 square inches.
To prove that the arc length is indeed 3 inches, we are going to use the formula:
where
is the arc length.
us the radius of the circle.
is the central angle.
We know from our problem that
, and
, so lets replace those values in our formula:
We can conclude that the length of the arc is indeed
3 inches.
Answer:11/50
Step-by-step explanation:
i dont really know.