3x + 5y = -2
3x + 7y = 26
Subtract first equation from second
2y = 28
y = 14
Plug it in
x = -24
Answer:
<em>T</em><em>H</em><em>E</em><em> </em><em>S</em><em>C</em><em>A</em><em>L</em><em>E</em><em> </em><em>F</em><em>A</em><em>C</em><em>T</em><em>O</em><em>R</em><em> </em><em>O</em><em>F</em><em> </em><em>S</em><em>C</em><em>U</em><em>L</em><em>P</em><em>T</em><em>U</em><em>R</em><em>E</em><em> </em><em>T</em><em>O</em><em> </em><em>M</em><em>O</em><em>D</em><em>A</em><em>L</em><em>=</em><em>7</em><em>:</em><em>1</em>
<em>A</em><em>S</em><em> </em><em>4</em><em>2</em><em>:</em><em>6</em><em>=</em><em>7</em><em>:</em><em>1</em><em>,</em><em>5</em><em>6</em><em>:</em><em>8</em><em>=</em><em>7</em><em>:</em><em>1</em><em>,</em><em>3</em><em>5</em><em>:</em><em>5</em><em>=</em><em>7</em><em>:</em><em>1</em>
Answer:
10. 7n - 1 < -8
Isolate the variable, n. Do the opposite of PEMDAS. Treat the < as equal sign, what you do to one side, you do to the other. First, add 1 to both sides:
7n - 1 (+1) < - 8 (+1)
7n < - 8 + 1
7n < - 7
Isolate the variable, n. Divide 7 from both sides:
(7n)/7 < (-7)/7
n < -7/7
n < -1
n < -1 is your answer.
11. 3 > -7v + 4v
Combine like terms, then isolate the variable, v. First, add -7v and 4v together.
3 > (-7v + 4v)
3 > (4v - 7v)
3 > (-3v)
Isolate the variable, v. Divide -3 from both sides. Note that since you are dividing a negative number, you must flip the sign:
(3)/-3 > (-3v)/-3
3/-3 > v
-1 < v
v > -1 is your answer.
~
44
Assuming JM and LN are parallel, KMJ=MKN. MKN is part of a triangle where the other two values are defined (48 and 88). By subtracting these values from 180, we find the value of MKN is 44, which therefore is also the value of KMJ.
<span>The average length of crocodiles in a swamp is 11.5 feet. if the lengths are normally distributed with a standard deviation of 1.7 feet, find the probability that a crocodile is more than 11 feet long.
solution:
To obtain P(x>11) we first need to obtain the value of the z-score:
z=(11-11.5)/1.7
thus
z=-0.2941
thus
P(x>11)=1-P(z<-0.2941)=1-0.3859=0.6141
</span>
