Answer:
32
Step-by-step explanation:
You need to work backwards to solve this equation!
9 - 17 = -8
w / -4 = -8
32 / -4 = -8
Which means that w = 32
We start off with 50 as our room temperature.
Then we subtract off 4h to indicate the temperature drops 4 degrees per hour
You can think of it like this
1 hour = drop by 4 degrees
h hours = drop by 4h degrees (multiply both sides by h)
So the expression 50-4h represents the temperature after h hours. We want this to be below 32, so 50-4h < 32 is the inequality we're after
Solving for h leads to
50-4h < 32
-4h < 32-50 ... subtract 50 from both sides
-4h < -18
h > -18/(-4) ... divide both sides by -4; note the inequality sign flips
h > 4.5
If you go beyond 4.5 hours, then the temperature will be below 32 degrees
notes:
- 4.5 hours = 4 hours, 30 minutes = 270 minutes
- the inequality sign flips whenever you divide both sides by a negative number
<em>-</em><em>6</em><em>0</em><em>+</em><em>(</em><em>3</em><em>0</em><em>0</em><em>)</em><em> </em><em>+</em><em>100</em>
<em>-</em><em>6</em><em>0</em><em>-</em><em>3</em><em>0</em><em>0</em><em>+</em><em>100</em>
<em>=</em><em> </em><em>-</em><em>2</em><em>6</em><em>0</em>
<em>=</em><em>5</em><em>0</em><em>-</em><em>(</em><em>-</em><em>4</em><em>0</em><em>)</em><em>-</em><em>(</em><em>-</em><em>2</em><em>)</em>
<em>=</em><em>5</em><em>0</em><em>+</em><em>4</em><em>0</em><em>+</em><em>2</em>
<em>=</em><em>9</em><em>2</em>
Hi !! the correct answer would be the last option, due to the fact that -2 and 2 both have the same absolute value, hope it helps !! :]
Answer with Step-by-step explanation:
We are given that a sample space
S={a,b,c,d,e}
P(a)=0.1
P(b)=0.1
P(c)=0.2
P(d)=0.4
P(e)=0.2
a.A={a,b,c}
P(A)=P(a)+P(b)+P(c)
P(A)=0.1+0.1+0.2=0.4
b.B={c,d,e}
P(B)=P(c)+P(d)+P(e)=0.2+0.4+0.2=0.8
c.A'=Sample space-A={a,b,c,d,e}-{a,b,c}={d,e}
P(A')=P(d)+P(e)=0.4+0.2=0.6
d.
={a,b,c,d,e}
=P(a)+P(b)+P(c)+P(d)+P(e)=0.1+0.1+0.2+0.4+0.2=1
e.
={c}
