Y=4x+1
Let y=0
0=4x+1
4x=-1
x=-1/4
Let x=0
Y=4*0+1
Y=0+1
Y=1
Therefore, the ordered pair is (-1/4, 1)
9514 1404 393
Answer:
A. 16°
Step-by-step explanation:
Angle E corresponds to angle N, the third angle in ∆MNO. Its measure is ...
∠N = 180° -∠M -∠O
∠N = 180° -99° -65°
∠N = ∠E = 16°
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:
b. (2, 5, 3)
Step-by-step explanation:
Trying the offered choices seems the fastest way to find the answer. The second choice works in all equations, hence is the solution.
Another strategy you can use is to see if the equations are dependent. Here, it looks like adding twice the third equation to the other two eliminates at least the x- and y-variables. If that eliminates z, then there are infinite solutions. Instead, it gives the equation ...
7z = 21
z = 3 . . . . . divide by 7
This answer is consistent with choice B, confirming that answer and eliminating the other choices.
Answer:
5x + 6
Step-by-step explanation:
3X + 2X = 5X
4 + 2 = 6
5X + 6 IS SIMPLIST FORM
