Answer:
B
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = -
x + 4 ← is i slope- intercept form
with slope m = - 
Parallel lines have equal slopes, thus
y = -
x + c ← is the partial equation
To find c substitute (6, 5) into the partial equation
5 = - 2 + c ⇒ c = 5 + 2 = 7
y = -
x + 7 ← equation of parallel line
Answer:
scale factor = 
Step-by-step explanation:
Compare the ratio of corresponding sides, image to original.
AB = 6 units and A'B' = 2 units, thus
scale factor =
=
= 
Answer:
.b. It is one‐half as large as when n = 100.
Step-by-step explanation:
Given that a simple random sample of 100 batteries is selected from a process that produces batteries with a mean lifetime of 32 hours and a standard deviation of 3 hours.
i.e. s = 0.3
we obtain se of sample by dividing std devitation by the square root of sample size
i.e. s= 
when n =100 this = 0.3 and
when n =400 this equals 0.15
We find that when sample size is four times as large as original, std deviation becomes 1/2 of the original
Correction option is
.b. It is one‐half as large as when n = 100.
Answer:
Circumference of the can is 21.98 cm.
Step-by-step explanation:
Since, top of the cylinder can shown in the figure is in the shape of a circle
Circumference of a circle is given by the formula,
Circumference 'C' = π × Diameter
Where r = radius of the circle
Therefore, circumference of a circle with diameter 7 centimeters will be,
C = 7π
= 7 × 3.14
= 21.98 cm
Therefore, circumference of the can is 21.98 cm.