Answer:
m = 4
Step-by-step explanation:
The complete question is:
Given:
6.33 x 10
⁹ / 1.79 x 10⁵ ≈ 3 x 
To find:
To best estimate the quotient in scientific notation. what number should replace m?
Solution:
The equation is:
6.33 x 10
⁹ / 1.79 x 10⁵ = 3 x
Let x = 9 and y = 5 then the above equation becomes:
6.33 x 
/ 1.79 x 
= 3 x
Since we know that the exponent property is:
quotient 
Now converting the given equation in the form above we get:
6.33 / 1.79 x 
6.33 / 1.79 x 
Now the quotient is 6.33/1.79 ≈ 3.536313
quotient x
3.536313 x
Since 9-5 = 4 So
3.536313 x 
3.536 x
Hence
6.33 x 10
⁹ / 1.79 x 10⁵ ≈ 3.5 x
Hence m = 4
It cant have more then two
Answer:
33
Step-by-step explanation:
(24 + 3) + 3 + 3
(27) + 3 + 3 First solve what's in the parenthesis
30 + 3 Then work left to right
33
Answer:
3.67 units
Step-by-step explanation:
The central angle is at the point (0,0).
Then it's at the point (1,0)
Then it moved 210 degrees.
Let's bear in mind that we start moving the degree from it's current position.
So moving 210 degrees is moving 180 degrees plus 30 degrees.
Moving 180 degrees I like transforming linearly.
Now the location is at (-1,0)
But the distance covered will be
= 2πr*210/360
r = 1
= 2*3.142*1*(210/360)
= 6.144*0.5833333
= 3.67 units
Answer:
The mean is 41
Step-by-step explanation:
Here , we are interested in finding the mean.
Firstly, let the standard deviation be x and the mean be y.
We are told that 51 is 2 standard deviations above the mean. What this mean is that if we subtract 2 standard deviations from 51, we will arrive at the mean.
Mathematically;
51 - 2(x) = y
y + 2x = 51 •••••••••(i)
We are also told that 36 is one standard deviation below the mean. What this mean is that if we subtract one standard deviation from the mean, we will have 36
Mathematically, that would be;
y-36 = x •••••••(ii)
Substitute ii into i directly;
We have
y + 2(y-36) = 51
y + 2y -72 = 51
3y -72 = 51
3y = 51 + 72
3y = 123
y = 123/3
y = 41
