There's no need to get into an ethical morass over math homework.
111.
M is 20% less than N means
M is 100-20=80% of N
M=0.80 N
M/N = 0.8 = 4/5
Ratio: 4/5
112.
When we know <em>a, </em>the average, and <em>n, </em>how many numbers there are, we know the sum <em>s</em>, because <em>a=s/n </em>so <em>s=na.</em>
So the sum of our six numbers is 6(3.5)=21 so the sum of the seven numbers is 21+4.2=25.2 so the average is 25.2/7 = 3.6
Answer: 3.6
113.
|2p + 4 | < 3
At p=-2 the absolute value is zero. As p gets more negative the absolute value argument (inside part) gets negative and the absolute value gets bigger, more positive. Eventually the inside will be exactly -3, when
2p +4 = -3
2p = -7
p = -7/2 = -3 1/2
So p=-4 will make the inequality false, and p=-3 is the smallest integer that makes the inequality true.
Answer: -3
114.
The distance from the origin is given by the Pythagorean Theorem and this one is a 3/4/5 right triangle:

Answer: .5 or 1/2
Answer:
=
+
+
Step-by-step explanation:
=multiple ways to climb a tower
When n = 1,
tower= 1 cm
= 1
When n = 2,
tower =2 cm
= 2
When n = 3,
tower = 3 cm
it can be build if we use three 1 cm blocks
= 3
When n = 4,
tower= 4 cm
it can be build if we use four 1 cm blocks
= 6
When n > 5
tower height > 4 cm
so we can use 1 cm, 2 cm and 4 cm blocks
so in that case if our last move is 1 cm block then
will be
n —1 cm
if our last move is 2 cm block then
will be
n —2 cm
if our last move is 4 cm block then
will be
n —4 cm
=
+
+
Step-by-step explanation:
Your answers are given in the attachment
please check it once if it is helpful to you or not
Answer:
the 4th one
Step-by-step explanation:
i'm pretty sure that's right
Answer:
By the Central Limit theorem, the mean of the distribution of sample means is 643.6 minutes.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this problem
The mean of the population is 643.6 minutes.
By the Central Limit theorem, the mean of the distribution of sample means is 643.6 minutes.