To answer this question, you must know what the standard deviation is.
The standard deviation is an index that measures the dispersion of a data set, while the largest is the standard deviation most dispersed are the data with respect to the mean value.
For a normal distribution, it is known that 68% of the data is not more than one standard desviation of the mean.
In this case, when they talk about -1 standard deviation of the mean.
Is:
average - 1 standard deviation
So
62 - 5.7 = 56.3
Therefore, the value sought is 56.3
Answer:
see explanation
Step-by-step explanation:
a
The tangent and the radius at the point of contact form a right angle
Using Pythagoras' identity on the right triangle formed.
Let x be the distance from the centre to P, then
x² = 4² + 10² = 16 + 100 = 116 ( take the square root of both sides )
x = 
≈ 10.77 cm (to 2 dec. places )
b
let the required angle be Θ, then
Using the sine or cosine ratio in the right triangle.
cosΘ = 
= 
Θ = 
( ) ≈ 21.8°
Well, you can put various math problems into one. Equations can also show more information easier than writing many problems. Hope this helps, and keep learning!
Answer:
24.75 = 3*4.50 + x*4.50
x= 2.5 pounds of Granny Smith apples
Step-by-step explanation:
Gala apples = 3 lbs
Granny apples = x lbs
They cost 4.50 a pound
Total cost = 24.75
Total cost = gala apples * cost per pound + granny apples * cost per pound
Substitute in what we know
24.75 = 3*4.50 + x*4.50
24.75 = 13.50 + 4.5x
Subtract 13.50 from each side
24.75-13.50 = 13.50-13.50 + 4.5x
11.25 = 4.5x
Divide by 4.50 on each side
11.25/4.5 = 4.5x/4.5
2.5 =x
Answer:
x - 11
Step-by-step explanation:
