Answer:
1/4 or 25%
Step-by-step explanation:
Let's see, we want to know probability of an event in which we roll two even numbers.
"We know that probability is defined as number of desired outcomes divided by all possible outcomes"
e - even number
o - odd number
our desired outcome: (e, e) total of 1
all possible outcomes: (e, e), (e, o), (o, e), (o,o) total of 4
that gives us 1/4
Answer:
The upper limit of the 95% confidence interval is:
C.I_u = 200 + (58.8/
)
Step-by-step explanation:
The formula is given as:
C.I = μ ± Z*σ/
The upper limit => C.I_u = μ + Z*σ/
The lower limit => C.I_l = μ - Z*σ/
The sample size (n) is not stated in the question. Hence, we calculate the upper limit with respect to n.
The upper limit => C.I_u = 200 + 1.96*(30/
)
= 200 + (1.96*30)/
= 200 + 58.8/
The absolute value function |<em>x</em>| always returns a non-negative number. It takes any number <em>x</em> and returns <em>x</em> if it's already non-negative, or -<em>x</em> if it is negative in order to make it positive.

For the equation
-3 + 4 |2<em>x</em> - 5| = 14
rearrange terms to get
|2<em>x</em> - 5| = 17/4
Now,
• if 2<em>x</em> - 5 ≥ 0, then |2<em>x</em> - 5| = 2<em>x</em> - 5. Then
2<em>x</em> - 5 = 17/4
• and if instead 2<em>x</em> - 5 < 0, then |2<em>x</em> - 5| = -(2<em>x</em> - 5), so that
-(2<em>x</em> - 5) = 17/4, or
2<em>x</em> - 5 = -17/4
In the first case,
2<em>x</em> - 5 = 17/4
2<em>x</em> = 17/4 + 5 = 37/4
<em>x</em> = 37/8
In the second case,
2<em>x</em> - 5 = -17/4
2<em>x</em> = -17/4 + 5 = 3/4
<em>x</em> = 3/8
Answer: Two regular octagons and eight congruent rectangles
Step-by-step explanation:
An octagon has 8 sides and the shapes on the bottom of the shape are 8 rectangles.