Perimeter is 9+3.5+9+3.5= 25
found the answer by adding all sides
Answer:
C
Step-by-step explanation:
General Form of an equation of a line is given by:
Where,
m is the slope, and
b is the y-intercept (point where line cuts the y-axis)
Also, parallel lines have equal slopes.
Equation of first plane is given as
Comparing this with general form of a line, we see that 3.67 is the slope and 4.81 is the y-intercept.
<em>The </em><em>second plane </em><em>is going </em><em>parallel</em><em> to this. So slope should be same. Hence </em><em>second plane has slope of 3.67. </em><em>We can write:</em>
<em></em>
<u>To find the equation of second plane</u>, we need to solve for c. Also, a point given for second plane is , substituting these values into the equation we got, we get the value of c:
We already know m and now we know c, so we can write final equation as:
Answer choice C is right.
Answer:
0.6836 = 68.36% probability that the player will win at least once.
Step-by-step explanation:
For each game, there are only two possible outcomes. Either the player wins, or the player loses. The probability of winning a game is independent of any other game, which means that the binomial probability distribution is used 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.
25% chance of winning
This means that
Plays the game four times
This means that
What is the probability that the player will win at least once?
This is:
In which
0.6836 = 68.36% probability that the player will win at least once.
Answer:
12 km
Step-by-step explanation:
- 5h 24min = 5.4 hr
- time = distance / speed
--------------------------------
time out + time back = total time
d/5 + d/4 = 5.4
multiply both sides by 20 to clear the fractions
4d + 5d = 108
9d = 108
Divide both sides by 9
d = 12 km
Cos(17pi/8)
cos(17π/8)
But π radians = 180°
17π/8 radians = (17/8) * 180 = 382.5
But this is more than 360°, so we have the basic angle by subtracting 360°
382.5 - 360 = 22.5
cos(17π/8) = Cos22.5
Recall double angle formula for cos.
cos2θ = 2cos²θ - 1
Therefore
cos(2*22.5) = 2cos²(22.5) - 1
cos45 = 2cos²(22.5) - 1
(√2)/2 = 2cos²(22.5) - 1
2cos²(22.5) - 1 = (√2)/2
2cos²(22.5) = (√2)/2 + 1
2cos²(22.5) = (2 + √2) / 2
cos²(22.5) = (2 + √2) / 4
cos22.5 = √( (2 + √2)/4) ................(note)
cos22.5 = √(2 + √2) / 2
Option (a) seems like the closest, comparing to (note) above.