Answer:
x < -3
Step-by-step explanation:
Divide both sides by 4. Since 4 is positive, the inequality direction remains the same.
−4x−3> 36/4
Divide 36 by 4 to get 9.
−4x−3>9
Add 3 to both sides.
−4x>9+3
Add 9 and 3 to get 12.
−4x>12
Divide both sides by −4. Since −4 is negative, the inequality direction is changed.
x< 12/-4
Divide 12 by −4 to get −3.
x < -3
Answer:
1899
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 3234
Standard deviation = 871
Percentage of newborns who weighed between 1492 grams and 4976 grams:
1492 = 3234 - 2*871
So 1492 is two standard deviations below the mean.
4976 = 3234 + 2*871
So 4976 is two standard deviations above the mean.
By the Empirical Rule, 95% of newborns weighed between 1492 grams and 4976 grams.
Out of 1999:
0.95*1999 = 1899
So the answer is 1899
Answer:
Step-by-step explanation:
Using sine rule
SinA/a = SinB/b = SinC/c
A = 84° a = BC, C = 51°, c = 16
Sin84/BC = Sin51/16
Cross multiply
BC Sin51 = 16 × Sin84
BC = 15.91/Sin51
BC = 20.48unit
Supplementary angles = 180
2x +3x-10 = 180
5x -10 =180
5x -10 +10 =180+10
5x =190
5x/5 =190/5
x = 38
2x=76
3x-10= 3(38)-10=104
The measure of angles are 76 and 104
