Given:
The point (5,-2) is translated 3 units to the left.
To find:
The new location of the point.
Solution:
If a point is translated 3 units to the left, then

Using this rule of translation, we get


Therefore, the new location of the point is (2,-2). Hence, the correct option is C.
Answer:
c. 3.6 and 10.4 hrs
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviations of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean 7, standard deviation 1.7.
For about 95% of students, nightly amount of sleep is between
7 - 2*1.7 = 7 - 3.4 = 3.6 hours
7 + 2*1.7 = 7 + 3.4 = 10.4 hours
So the correct answer is:
c. 3.6 and 10.4 hrs
Answer:
17
Step-by-step explanation:
We have the following equation for compounding annual interest
AV=PV(1+i)ⁿ
We have
19200=7400(1+.06)ⁿ
Solve for n
divide both sides by 7400
2.594=(1.06)ⁿ
then use the following rule for exponents

which means that

Solve and get
16.362
which rounds to 17
Answer:
Step-by-step explanation: