Answer:
The improve in speed is 3.9334 words/min
Step-by-step explanation:
we will find speed at both occasions and then we can subtract them
First test:
total number of word =694
total time =15 min
we know that
speed = (total number of words)/( total time)
now, we can plug values
speed is
word/min
word/min
Second test:
total number of word =753
total time =15 min
we know that
speed = (total number of words)/( total time)
now, we can plug values
speed is
word/min
word/min
So, improve in speed is


word/min
3 slots
1st slot has 10 possible people
2nd slot has 9 possible people (1 less than previous)
3rd slot has 8 possible people
so there are 10*9*8 ways or 720 ways
The complete question in the attached figure
we know that
the equation of a sphere is
(x-h)²+(y-k)²+(z-l)²=r²
<span>let's assume that the center of the sphere is at the origin
</span>so
(h,k,l)-------> (0,0,0)
for r=16 m
(x-h)²+(y-k)²+(z-l)²=r²--------> (x)²+(y)²+(z)²=16²
for z=9 m
(x)²+(y)²+(9)²=16²--------> (x)²+(y)²=256-81--------> (x)²+(y)²=175
the radius of the circle is r=√175 m
so the area of the circle A=pi*r²-----> A=pi*175-----> A=549.5 m²
the answer is the area of the circle is 549.5 m²
<span>y = 300 - 5x
Standard form:
ax + by = c
</span>y = 300 - 5x
<span>5x + y = 300
Then to find the y-intercept, insert a 0 into the 'x'.
5(0) + y = 300
y = 300
The y-intercept is 300.
To find the x-intercept, insert a 0 into the 'y'.
5x + (0) = 300
5x = 300
x = 60
The x-intercept is 60.</span>
The flag should be 192 because 48 x 4 =192