Answer:
0.33
Step-by-step explanation:
We can think of this in tems of a venn diagram.
We have a rectangle, which represents the probabilities combined, which is 1.
Then we have two interlocking circles, the first representing the probability the yankees win, the second representing the probability the yankes score 5 or more runs, and the overlap representing the probability of both.
Therefore, the probability of losing and scoring less than 5 runs must be the area outside the circles but inside the rectangle.
The union of 'winning' and 'scoring 5 or more runs' is equal to the sum of the probability of either, minus the probability of both, which is 0.48+0.57-0.38 = 0.67.
Therefore the probability neither happen is 1-0.67 = 0.33
Volume of the large pyramid = 1/3*(10)² *30= 1000 cm³
Height of the small pyramid that was cut = 30-15=15 cm
Volume of the small pyramid = 1/3*(5)²*15=125 cm³
Volume of the frustum = Volume large pyramid - volume small pyramid=
=1000-125=875 cm³
Answer is 875 cm³.
Answer:
z+9(8−x)+8(z+8)=
z+72-9x+8z+64=
9z-9x+136
<u> </u>
(3−10)^2−(5−12)^2 parenthesis first
(-7)²-(-7)²=
49-(49)=49-49=0
<u> </u>
2^2⋅4^3 exponent first
2*2*4*4*4
4*64=256
Answer:
(-1/2, 3/4)
Step-by-step explanation:
Let's use the elimination by adding or subtracting method. Note that we have 8y in the first equation, and that we could obtain -8y in the second equation by multiplying the second equation by 2:
2(24x - 4y = -15) => 48x - 8y = -30
Now combine this result (this equation) with the first equation:
2x + 8y = 5
+48x -8y = -30
---------------------
50x = - 25
Dividing both sides by 50, to isolate x, we get
x = -25/50 = -1/2.
Now substitute -1/2 for x in the first equation and solve the resulting equation for y:
2x + 8y = 5
2(-1/2) + 8y = 5, or -1 + 8y = 5, or 8y = 6 (after having added 1 to both sides)
Dividing both sides of 8y = 6 by 8 leads to determining the value of y:
y = 6/8 = 3/4
The solution is (-1/2, 3/4).
Answer:
54
Step-by-step explanation:
