Answer:
... Wall, But Is Sliding Down The Wall So That The Vertical Distance Between The Top Of The Pole And The Floor Is Decreasing At A Rate Of 4 Inches Per Second. How Fast Is The Horizontal Distance Between The Bottom Of The Pole And ... A 176 inch pole is leaning up against a wall, but is sliding down the wall so that the ...
Step-by-step explanation:
Given:
The system of inequalities is:


To find:
The graph of the given system of inequalities.
Solution:
We have,


The related equations are:


Table of values for the given equations is:

0 1 -3
3 0 3
Plot (0,1) and (3,0) and connect them by a straight line to get the graph of
.
Similarly, plot (0,-3) and (3,3) and connect them by a straight line to get the graph of
.
The signs of both inequalities are ">". So, the boundary line is a dotted line and the shaded region or each inequality lie above the boundary line.
Therefore, the graph of the given system of inequalities is shown below.
A right angle is an angle at 90 degrees
Answer:
B. 6.3%
Step-by-step explanation:
For each time that the coin is tosse, there are only two possible outcomes. Either it comes up tails, or it does not. The probability of coming up tails on a toss is independent of any other toss. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
Fair coin:
Equally as likely to come up heads or tails, so 
Probability that the first tails comes up on the 4th flip of the coin?
0 tails during the first three, which is P(X = 0) when n = 3.
Tails in the fourth, with probability 0.5. So



0.0625 * 100 = 6.25%
Rounding to the nearest tenth of a percent, the correct answer is:
B. 6.3%
Answer:
The Hindu-Arabic numeral form of the given expanded numeral is 842.
Step-by-step explanation:
The given expanded numeral is

We need to express the given expanded numeral as a Hindu-Arabic numeral.
According to Hindu-Arabic numeral the given expanded numeral is written as

On simplification we get,


Therefore the Hindu-Arabic numeral form of the given expanded numeral is 842.