Rotate by angle α = 90°, around a center point (0; 0)
Answer:
67.75%
Step-by-step explanation:
Given:
Given that:
µ = 76 ; σ = 4.7
P(x < 80.7) - P(x < 71.4)
Obtain the standardized score, Z ; x = 71. 4
Zscore = (x - μ) / σ
P(x < 71.4) = (71.4 - 76) / 4.7
P(x < 71.4) = - 4.6 / 4.7
P(x < 71.4) = - 0.9787
P(z < 0.9787) = 0.16386
x = 80.7
P(x < 80.7) = (80.7 - 76) / 4.7
P(x < 80.7) = 4.7 / 4.7
P(x < 80.7) = 1
P(z < 1) = 0.84134
0.84134 - 0.16386 = 0.67748 = 67.748% = 67.75%
Answer:
x = 43
Step-by-step explanation:
x + 28 + 195 = 180
x + 223 = 180
x = 180 - 223
x = 43 (ANS)
I hope my answer is correct. If not I apologize.
Answer and Step-by-step explanation:
Let x and y be two positive integers and their sum is 14:
X + y = 14
And the sum of square of this number is:
f = x2 + y2
= x2+ (14 – x)2
Differentiate with respect to x, we get:
F’(x) = [ x2 + (14 – x)2]’ = 0
2x + 2(14-x)(-1) = 0
2x +( 28 – 2x)(-1) = 0
2x – 28 +2x = 0
2x + 2x = 28
4x = 28
X = 7
Hence, y = 14 – x = 14 -7 = 7
Now taking second derivative test:
F”(x) > 0
For x = y = 7,f reaches its maximum value:
(7)2 + (7)2 = 49 + 49
= 98
F at endpoints x Є [ 0, 14]
F(0) = 02 + (14 – 0)2
= 196
F(14) = (14)2 + (14 – 14)2
= 196
Hence the sum of squares of these numbers is minimum when x = y = 7
And maximum when numbers are 0 and 14.
Answer:
The number of people in a waiting line is a quantitative data as we can count them.
Step-by-step explanation:
Consider the provided information.
The value of quantitative data can be determined by counting or measuring something.
Now consider the provided options.
The player’s number on a baseball uniform, the serial number on a one-dollar bill and the part number of an inventory item is not a quantitative data because we can't measure them.
The number of people in a waiting line is a quantitative data as we can count them.
