0.92/0.4
2.3
the answer is 2.3
Answer:
Answer is 13.3%
Step-by-step explanation:
- 90 percent of the batteries will last 10 hours or exceed.
- 12 percent of the batteries will last 15 hours or more.
If the likelihood of these batteries is to hold for the given time period, then, out of one thousand (1000) batteries produced, nine hundred (900) of the batteries will have long lasted 10 hours or longer and 120 of them will have lasted 15 hours or more.
The 120 which have lasted 15 hours or more must have lasted at most 10 hours or more, so they are part of the bunch that lasted 10 hours of more.
They are 12% of the total of 1000 batteries produced, but they are 15% of the 900 batteries that lasted 10 hours or more, Why? view the following:
- 120 / 900 = 0.1333 = 13.3%
The solution which seems to be that 13.3 percent of the batteries that prolonged 10 hours or more lasted 15 hours or longer.
Answer:
The radius of the circle is 
The length of the square is 
Step-by-step explanation:
we know that
The circumference of a circle is equal to 
The perimeter of the square is equal to 
so
Simplify
-----> equation A
The area of a circle is equal to 
The area of a square is 
The total area is equal to
-----> equation B
substitute equation A in equation B
![At=\pi r^{2}+[(12-\pi r)/2]^{2}](https://tex.z-dn.net/?f=At%3D%5Cpi%20r%5E%7B2%7D%2B%5B%2812-%5Cpi%20r%29%2F2%5D%5E%7B2%7D)
This is a vertical parabola open upward
The vertex is the minimum
The x-coordinate of the vertex is the radius of the circle that produce a minimum area
The y-coordinate of the vertex is the minimum area
Solve by graphing
The vertex is the point (1.68, 20.164)
see the attached figure
therefore
The radius of the circle is
Find the value of x
assume
Answer:
a) From 10 to 11, Sarah rode 12 km in one hour. That means her velocity was 12 km/hr.
b) Sarah passed by her home at 12:45.
c) From 12 to 13, Sarah rode 15 km. Thus, her velocity was 15 km/hr. From 13 to 14 she rode 3 km. Thus, her velocity was 3 km/hr.
d) Her average velocity was 12+0+15+3/4, or 30/4 which is 7.5 km/hr.
X2 + 4x - 21
Answer: (x + 7)(x - 3)
