Answer:
its 56 if you simplify 32 + 16 + 8
Y = x² to: y = - 2 ( x - 2 )² + 2
Answer:
D ) reflect across the x-axis, translate 2 units to the right, translate up 2 units, stretch by the factor of 2
Step-by-step explanation:
f(x) = x² - 4x - 4
the general formula for solving such a quadratic equation (for f(x) = 0) is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = -4
c = -4
x = (4 ± sqrt(4² - 4×1×-4))/(2×1) = (4 ± sqrt(16 + 16))/2 =
= (4 ± sqrt(2×16))/2 = (4 ± 4×sqrt(2))/2 = 2 ± 2×sqrt(2)
x1 = 2 + 2×sqrt(2)
x2 = 2 - 2×sqrt(2)
Answer:
She mailed 3 to Europe
Step-by-step explanation:
0.94 x 3=2.82
0.44 x 2=0.88
2.82 + 0.88=3.70
Answer:
Mean strength is 18.94 and your standard deviation is 0.5.
So the proportion of bolts that meet the specifications is 97%.
Step-by-step explanation:
First of all determine the z- scores of these points.There are 10% of bolts with a strength less than 18.3 kN and this normally distributed you can use chart or calculator to calculate z-score. As i have 5% then z-score is -1.28.Then check the other 19.76kN then find that it has a z-score of 1.64.
To check the difference subtract 19.76 and 18.3 then you get 1.46.
Subtract z-scores 1.64 - (-1.28) = 2.92
Then standard deviation is 1.46/2.92 = 0.50
mean of the bolts is obtained by adding 1.28 *0.5 = 0.64 to 18.3 then
subtract 1.64 *0.5 = 0.82 to 19.76
Then mean is 18.94
Mean strength is 18.94 and your standard deviation is 0.5.
For strength specification. First, we find the z-score for this value:
(18-18.94)/0.5=-1.88
the probability of a bolt being made stronger than this z-score.It is approximately 0.97.
So the proportion of bolts that meet the specifications is 97%. .
