Answer: The answer is at the bottom.
Step-by-step explanation:
Write
x
|
x
|
<
7
as a piecewise.
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{
x
2
<
7
x
≥
0
−
x
2
<
7
x
<
0
Solve
x
2
<
7
when
x
≥
0
.
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0
≤
x
<
√
7
Solve
−
x
2
<
7
when
x
<
0
.
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x
<
0
Find the union of the solutions.
x
<
√
7
The result can be shown in multiple forms.
Inequality Form:
x
<
√
7
Interval Notation:
(
−
∞
,
√
7
)
Answer: The increase in the percent of household with cable television = 45.5%.
Step-by-step explanation:
Given : The percentage of households in the u.S. With cable television increased from 22.5% in 1980 to 68% in 2000.
i.e. Previous percentage in 1980 = 22.5%
New percentage in 2000= 68%
Now , the increase in percentage = (New percentage) - ( Previous percentage )
= 68% - 22.5%
= 45.5%
Hence, the increase in the percent of household with cable television = 45.5%.
Answer:
The answer is symmetrical
Step-by-step explanation:
x
x x x
x x x x x
x x x x x x x
___________________________
1 2 3 4 5 6 7
Answer:
a) 
b) 
c) 
d) 
Step-by-step explanation:
For each container, there are only two possible outcomes. Either it is undefilled, or it is not. This means that we can solve this problem using the binomial probability distribution.
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 combinatios of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
In this problem
There are 10 containers, so
.
A food-packaging apparatus underfills 10% of the containers, so
.
a) This is P(X = 1)

b) This is P(X = 3)

c) This is P(X = 9)

d) This is
.
Either the number is lesser than five, or it is five or larger. The sum of the probabilities of each event is decimal 1. So:


In which







So

Finally

Answer:
Step-by-step explanation:
×
=
=
~~~~~~~~~~~~~
×
= (3²)² ×
=
=