Answer:
The probability that Alice wins the game=
Step-by-step explanation:
We are given that Alice and Bob are playing a game .
We have to find the probability that Alice wins the game .
If Alice win when she gets head and lose when she gets tail.Bob wins when she gets tail and she lose when she gets head.
Total results in a coin=Head, tail=2
Number of head in a coin=1
Number of tail in a coin= 1
Probability is defined as the possibility of an event that occurred
The probability that Alice wins the game=
The probability that Alice wins the game=
The probability that Alice wins the game=
The monthly growth rate is the annual growth rate divided by 12, because there are 12 months in a year.
monthly rate = 15% ÷ 12
monthly rate = 15/100 ÷ 12
monthly rate = 15/100 × 1/12
monthly rate = 15/1,200
monthly rate = 1.25/100
monthly rate = 1.25%
The monthly growth rate is 1.25% or approximately 1.3%
Enter 1.3 in the box
Answer:
Option B
Step-by-step explanation:
From the figure attached,
Circle D is drawn with the radius = DG or DE
A tangent FG has been drawn at a point G on the circle from an external point F.
By theorem,
Radius of a circle is always perpendicular to the tangent, drawn to the circle from an external point.
Therefore, DG ⊥ FG.
Option B will be the correct option.
Explanation:
Let M be the midpoint of AB. Then CM is the perpendicular bisector of AB. As such, center O is on CM, and OC is a radius (and CM). The tangent is perpendicular to that radius (and CM), so is parallel to AB, which is also perpendicular to CM.
If you need to go any further, you can show that triangles CMA and CMB are congruent, so (linear) angles CMA and CMB are congruent, hence both 90°.
Answer:
<h2>33</h2>
Step-by-step explanation:
Given the average low temperature by month in Nashville is represented by the function f(x)=-1.4x² + 19x +1.7, where x is the month, the average rate of change is expressed as d[f(x)]/dx = 2(1.4x) + 19
d[f(x)]/dx = 2.8x + 19
Since the number of months between March and August is 5 months and x is in months, hence we will substitute x = 5 into the resulting function to get the average rate of change from March to August as shown;
d[f(x)]/dx at x = 5
= 2.8(5)+ 19
= 14 + 19
= 33
<em>Hence the average rate of change from March to August is 33</em>
