Answer:
the x would equal to 11 ,so x=11
Answer:
16 apples.
Step-by-step explanation:


Price of apples, Px=$4
Price of tomatoes, Py=$3
Ratio of their Marginal Utilities



Since Natalie’s income is $320
320 = xPx+yPy

Since x=16, Natalie will consume 16 apples.
Answer:
Note that the tangents to the circles at A and B intersect at a point Z on XY by radical center. Then, since∠ZAB=∠ZQA and ∠ZBA=∠ZQB. ∠AZB+∠AQB=∠AZB+∠ZAB+∠ZBA=180°. ∴ZAQB is cyclic.But if O is the center of w, clearly ZAOB is cyclic with diameter ZO, so ∠ZQO is 90° ⇒Q is the mid-point of XY.Then, by Power of a Point, PY· PX = PA · PB = 15 and it is given that PY+PX = 11. Thus,PX=(11±
)/2. So, PQ=
, PQ²=
. Thus, the answer is 61+4=65.
Step-by-step explanation:
Answer:
5
Because, five can go into 5, 35 and 70. Nothing else bigger can. If we went bigger we would be going over five.
Hope this helps :)
The correct answer is listed as (3/4) * (1/2) = 3/8. The probability that the dots lie on distinct edges is 3/8.
Probability is simply how likely something is to happen. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.
The area of mathematics known as probability deals with numerical representations 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, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
Learn more about probability here
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