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Delvig [45]
3 years ago
9

The population of weights for men attending a local health club is normally distributed with a mean of 178-lbs and a standard de

viation of 25-lbs. An elevator in the health club is limited to 35 occupants, but it will be overloaded if the total weight is in excess of 6720-lbs.
1. Assume that there are 35 men in the elevator, what is the average weight per man beyond which the elevator would be considered overloaded?
Mathematics
1 answer:
V125BC [204]3 years ago
6 0

Answer:

183.4286 lbs

Step-by-step explanation:

given that the population of weights for men attending a local health club is normally distributed with a mean of 178-lbs and a standard deviation of 25-lbs.

Total weight in the lift should not exceed 6420 lbs

No of persons limited = 35

Hence average weight of the person that should be below

\frac{6420}{35} \\=183.4286

If the average exceeds 183.4286 pounds then the elevator would be considered overloaded.

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Please help me with the below question.
tresset_1 [31]

We have the following three conclusions about the <em>piecewise</em> function evaluated at x = 14.75:

  1. \lim_{t \to 14.75^{-}} f(t) = 66.
  2. \lim_{t \to 14.75^{+}} f(t) = 10.
  3. \lim_{t \to 14.75} f(t) does not exist as \lim_{t \to 14.75^{-}} f(t) \ne  \lim_{t \to 14.75^{+}} f(t).

<h3>How to determinate the limit in a piecewise function</h3>

In a <em>piecewise</em> function, the limit for a given value exists when the two <em>lateral</em> limits are the same and, thus, continuity is guaranteed. Otherwise, the limit does not exist.  

According to the definition of <em>lateral</em> limit and by observing carefully the figure, we have the following conclusions:

  1. \lim_{t \to 14.75^{-}} f(t) = 66.
  2. \lim_{t \to 14.75^{+}} f(t) = 10.
  3. \lim_{t \to 14.75} f(t) does not exist as \lim_{t \to 14.75^{-}} f(t) \ne  \lim_{t \to 14.75^{+}} f(t).

To learn more on piecewise function: brainly.com/question/12561612

#SPJ1

8 0
2 years ago
7/28<br> in simplest form.
nikitadnepr [17]
Okay Tate3518, good question.

7 divided by 7 equals 1

and

28 divided by 7 equals 4

so,

7/28 = 1/4
6 0
3 years ago
Read 2 more answers
What is the answer to 2/3 × 5/7?​
solniwko [45]

Answer:

\frac{10}{21}

Step-by-step explanation:

We are to multiply;

\frac{2}{3} × \frac{5}{7}

We first multiply 2 × 5 to get 10

Then multiply 3 × 7 to get 21

Finally divide 10 ÷ 21 to get \frac{10}{21}

4 0
3 years ago
Read 2 more answers
Simplify each expression -4b+2b
I am Lyosha [343]

Answer:

-2b

Step-by-step explanation:

−4b+2b

=−4b+2b

=−b+−b+−b+−b+b+b

=−b−b

=−2b

4 0
3 years ago
Read 2 more answers
Given, OA = OV, what congruency statements can
GuDViN [60]

Given , ⊙A ≅ ⊙V

To find:

What congruency statements can you make? Check all that apply.

BC ≅ ZY

∠ DAB ≅ ∠ ZVX

BE ≅ ZX

Solution:

Consider the attached figure while going through the following steps.

If two circles are congruent, then their corresponding chords are also congruent along with the congruent intercepted arcs.

⇒ BC ≅ ZY

and

⇒ BE ≅ ZX

4 0
2 years ago
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