Answer:
10 times
Step-by-step explanation:
5 gallons = 20 quarts
20 quarts / 2 quarts = 10
Step-by-step explanation:
This is a reflection. A reflection is a transformation involving two shapes looking the same by "bouncing it off a line without coming back.( meaning a reflection goes some where else not to it original poistion.)
Others reason why Why?
Line m is perpendicular to Line c.
B and E are equidistant from c that BC=CE.
Why the others are wrong.
While you could rotate this triangle 180 degrees, the transformation occurs about a line not a point. So using a rotation is wrong.
A translation doesnt occur about a line.
A guide reflection doesnt work since the transformations are already mapped correctly if you do the reflection. It doesnt need a translation.
Answer:
9
step by step explanation :
390
<em>Hope</em><em> this</em><em> helps</em><em> </em><em>:</em><em>)</em>
Answer:
84.13% of bottles will have volume greater than 994 mL
Step-by-step explanation:
Mean volume = u = 1000
Standard deviation = = 6
We need to find the proportion of bottles with volume greater than 994. So our test value is 994. i.e.
x = 994
Since the data is normally distributed we will use the concept of z-score to find the required proportion. First we convert 994 to its equivalent z-score, then using the z-table we will find the corresponding value of proportion. The formula to calculate the z score is:
Substituting the values, we get:
This means 994 is equivalent to a z score of -1. Now we will find the proportion of z values which are greater than -1 from the z table.
i.e. P(z > -1)
From the z-table this value comes out to be:
P(z >- 1) = 1 - P(z < -1) = 1 - 0.1587 = 0.8413
Since, 994 is equivalent to a z score of -1, we can write that proportion of values which will be greater than 994 would be:
P( X > 994 ) = P( z > -1 ) = 0.8413 = 84.13%
Answer:
y= -1*x +12
Step-by-step explanation:
x=4 is a function that always has the value 4 for the x-axis, no matter y variable, this a vertical function.
Perpendicular Lines are those with the following condition:
y=a*x+b (1)
y=c*x+d (2)
Where a and c are the respective slope
If These two lines are perpendicular, then
a=- 1/c
Using those principles we have that the slope for our needed line has to be -1, since the slope for the first line is 1 (the coefficient of x is 1, in the line x=4)
Lets use the given point (5,7) in the equation (2)
7=-1 * 5 + d
resulting d=12
so, our equation for the line is y= -1*x +12