Answer:
answer is 1/8
Step-by-step explanation:
hope this helps
Answer:
Step-by-step explanation:
Let x be the "number."
"twice the difference of a number and 16" can be written as:
2(x-16)
"is the same as three times a number less than 18" can be written as:
= 3(x<18)
I wonder if this was meant to say "is the same as three times a number less 18," instead of "less than 18." If so, we would have:
=3(x-18)
1. Using the sentence as written: 2(x-16) = 3(x<18)
2. Using the sentence as amended: 2(x-16) = =3(x-18)
Going with this interpretation:
2(x-16) = 3(x-18)
2x - 32 = 3x - 54
x = 22
Answer:
0.7698
Step-by-step explanation:
If you call your random variable 
, then what you are looking for is
because you want the probability of being <em>between 87 and 123.</em>
We need a table with of the normal distribution. But we can only find the table with 
and 
. Because of that, first we need to <em>normalize </em>our random variable:
(you can always normalize your variable following the same formula!)
now we can do something similar to our limits, to get a better expression:
And we transform our problem to a simpler one:
(see Figure 1)
From our table we can see that 
(this is represented in figure 2).
Remember that the whole area below the curve is exactly 1. So we can conclude that 
(because 0.8849 + 0.1151 = 1). We also know the normal distribution is symmetric, then
.
FINALLY:
Answer:
50
Step-by-step explanation:
because 50 pints
Answer:
x=8°
y=29°
Step-by-step explanation:
vertically opposite angles are equal
so 5x+9°=y+20°
therefore 5x-y=11°
Alternate angles are equal
so 4x+17°=y+20°
therefore 4x-y=3°
equation 1....... 5x-y=11°
equation 2......4x-y=3°
using elimination method x=8°
y=29°
