Answer:
The percentage of scores higher than 72 is 99.85%
Explanation:
The empirical rule states that about 68% of observations falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ)
We can use the relationship below
255-σ(61)=72
61σ=255-72
61σ=183
σ=3
The area is as shaded below
The percentage of scores higher than 72 is 99.7%+0.15%=99.85%
Recall that √x has a domain of x ≥ 0.
So, f(x) is defined as long as
(x + 1)/(x - 1) ≥ 0
• We have equality when x = -1
• Otherwise (x + 1)/(x - 1) is positive if both x + 1 and x - 1 are positive, or both are negative:
Then the domain of f(x) is
x > 1 or x ≤ -1
On the other hand, g(x) is defined by two individual square root expressions with respective domains of
• x + 1 ≥ 0 ⇒ x ≥ -1
• x - 1 ≥ 0 ⇒ x ≥ 1
but note that g(1) is undefined, so we omit it from the second domain.
Then g(x) is defined so long as both x ≥ -1 *and* x > 1 are satisfied, which means its domain is
x > 1
f(x) and g(x) have different domains, so they are not the same function.
Answer:
4 3/8
Explanation: Step 1 - Find Whole Number.
35 / 8 = 4.3750 = 4
35 - (8 x 4) = 3 Step 2 - Find New Numerator
MOST LIKELY: Talk to each member of the team to learn their perception of how things are going and what challenges are faced. Listen intently with a goal of finding out how they really feel, rather than managing or convincing them to think otherwise.
Ask questions that help you gauge their personal morale, such as “How well do you think we are recognizing your contributions?”, “How appreciated do you feel here at work”, or “How close is this job to your ideal work?” The goal is to find out each person’s individual level of morale, because everyone’s morale contributes to the group morale.
THis should give you some idea of what specific things you need to work on to improve the morale level of each individual.
LEAST LIKELY: Blame individuals or the team and implement punitive or restrictive measures to force improvement. This does not work.
Look for a scapegoat or some magic bullet “motivational” action to apply to all equally.
Motivating employees to work more effectively means doing the harder work of learning what motivates them and providing that within the framework of your organization over a long enough period of time to create lasting change.
