Answer:
54degrees
Step-by-step explanation:
From the given diagram;
2<P + 136 + 74 + 42 = 360 (sum of angle at a point is 360degrees)
2<P +252 = 360
2<P = 360 - 252
2<P = 108
<P = 108/2
<P = 54
Hence the measure of <P is 54degrees
Answer:
9 fluid ounces of sparkling soda.
Step-by-step explanation:
The ratio is 1 to 8 so:
72 / 8 = 9
<span> 4(y+3)+7=3
first you distribute the 4
4y+12+7=3
now add simplify each side
4y+19=3
subtract 19 from each side
4y=(-16)
divide each side by 4
y=(-4)
so -4 is your answer for y</span>
Answer:
a. z-score for the number of sags for this transformer is ≈ 1.57 . The number of sags found in this transformer is within the highest 6% of the number of sags found in the transformers.
b. z-score for the number of swells for this transformer is ≈ -3.36. The number of swells found in the transformer is extremely low and within the lowest 1%
Step-by-step explanation:
z score of sags and swells of a randomly selected transformer can be calculated using the equation
z=
where
- X is the number of sags/swells found
- M is the mean number of sags/swells
- s is the standard deviation
z-score for the number of sags for this transformer is:
z=
≈ 1.57
the number of sags found in the transformer is within the highest 6% of the number of sags found in the transformers.
z-score for the number of swells for this transformer is:
z=
≈ -3.36
the number of swells found in the transformer is extremely low and within the lowest 1%
Answer:
y+2 = -3(x-2)
Step-by-step explanation:
Point slope form of an equation is
y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y - -2 = -3( x-2)
y+2 = -3(x-2)