Answer:
Option A. k = 4.5, 54 cm
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor
In this problem the constant of proportionality is equal to the scale factor
step 1
Find the scale factor
Let
k -----> the constant of proportionality
-----> ratio of the corresponding sides
step 2
Find the value of x
therefore
k = 4.5, 54 cm
Answer:
c
Step-by-step explanation:
95% of red lights last between 2.5 and 3.5 minutes.
<u>Step-by-step explanation:</u>
In this case,
- The mean M is 3 and
- The standard deviation SD is given as 0.25
Assume the bell shaped graph of normal distribution,
The center of the graph is mean which is 3 minutes.
We move one space to the right side of mean ⇒ M + SD
⇒ 3+0.25 = 3.25 minutes.
Again we move one more space to the right of mean ⇒ M + 2SD
⇒ 3 + (0.25×2) = 3.5 minutes.
Similarly,
Move one space to the left side of mean ⇒ M - SD
⇒ 3-0.25 = 2.75 minutes.
Again we move one more space to the left of mean ⇒ M - 2SD
⇒ 3 - (0.25×2) =2.5 minutes.
The questions asks to approximately what percent of red lights last between 2.5 and 3.5 minutes.
Notice 2.5 and 3.5 fall within 2 standard deviations, and that 95% of the data is within 2 standard deviations. (Refer to bell-shaped graph)
Therefore, the percent of red lights that last between 2.5 and 3.5 minutes is 95%
I believe you meant milliliters. If so the answer is 1500ml
2 liters = 2000ml
2000/4 = 500 for 1/4
We need 3/4 so we multiply 500 X 3 and get 1500ml
It would be 55.125 as a decimal, but as a fraction it would be 441/8.
