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Rama09 [41]
3 years ago
14

An airliner carries 100 passengers and has doors with a height of 76 in. Heights of men are normally distributed with a mean of

69.0 in and a standard deviation of 2.8in.
a. If a male passenger is randomly​ selected, find the probability that he can fit through the doorway without bending.
​(Round to four decimal places as​ needed.)
Mathematics
1 answer:
pickupchik [31]3 years ago
8 0

First let us calculate for the z score using the formula:

z = (x – u) / s

where u is the mean height of men = 69 in, x is the height of the door = 76, and s is the standard deviation = 2.8 in

 

z = (76 – 69) / 2.8

z = 2.5

 

From the standard probability table, at z = -2.5 the probability P is:

P = 0.9938 = 99.38%

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A playground is shaped like a quaderaleteral with all sides 27 feet long, with two angles measures of 65 degrees and two angles
Ksivusya [100]

Answer:

Rhombus

Step-by-step explanation:

Shape of a playground is a quadrilateral

It is given that  all sides of a quadrilateral are= 27 feet

Since all the sides of a quadrilateral are equal that it can be either a rhombus or it can be a square

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And other two angers are 115° each

65°+ 115°= 180°

It forms a co-interior angle

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7 0
3 years ago
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7 0
2 years ago
Which equations are correct? select three options. n = 10 n = 7 cf = 59 fe = 42 cd = 30
pashok25 [27]

Based on the calculations on this parallelogram, the correct equations are:

  1. n = 10
  2. CF = 59
  3. FE = 42

<h3>The properties of a parallelogram.</h3>

Based on the image of the parallelogram shown in the image attached below, we can logically deduce that the opposite sides of this parallelogram are all equal. Thus, we have:

Side DE = Side CF

6n - 1 = 5n + 9

6n - 5n = 9 + 1

n = 10.

From Side CF, we have:

CF = 5n + 9

CF = 5(10) + 9

CF = 59.

For the measure of side FE, we have

FE = 4n + 2

FE = 4(10) + 2

FE = 42.

Read more on parallelogram here: brainly.com/question/16743544

#SPJ1

Complete Question:

Figure CDEF is a parallelogram.

Parallelogram C D E F is shown. The length of F C is 6 n minus 1, the length of C D is 4 n + 2, and the length of D E is 5 n + 9.

Which equations are correct? Select three options.

n = 10

n = 7

CF = 59

FE = 42

CD = 30

5 0
1 year ago
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