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Alex777 [14]
3 years ago
9

Use the following polygon to find "x": |(2x + 20) (3x – 10) (2x) (2x - 10)

Mathematics
1 answer:
Agata [3.3K]3 years ago
6 0

Answer:

2x + 20 + 2x + 3x - 10 + 2x - 10 = 360

9x = 360

x = 40

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The size of the left upper chamber of the heart is one measure of cardiovascular health. When the upper left chamber is enlarged
Temka [501]

Answer:

a) 0.283  or 28.3%

b) 0.130 or 13%

c) 0.4 or 40%

d) 30.6 mm

Step-by-step explanation:

z-score of a single left atrial diameter value of healthy children can be calculated as:

z=\frac{X-M}{s} where

  • X is the left atrial diameter value we are looking for its z-score
  • M is the mean left atrial diameter of healthy children (26.7 mm)
  • s is the standard deviation (4.7 mm)

Then

a) proportion of healthy children who have left atrial diameters less than 24 mm

=P(z<z*) where z* is the z-score of 24 mm

z*=\frac{24-26.7}{4.7} ≈ −0.574

And P(z<−0.574)=0.283

b) proportion of healthy children who have left atrial diameters greater than 32 mm

= P(z>z*) = 1-P(z<z*) where z* is the z-score of 32 mm

z*=\frac{32-26.7}{4.7} ≈ 1.128

1-P(z<1.128)=0.8703=0.130

c) proportion of healthy children have left atrial diameters between 25 and 30 mm

=P(z(25)<z<z(30)) where z(25), z(30) are the z-scores of 25 and 30 mm

z(30)=\frac{30-26.7}{4.7} ≈ 0.702

z(25)=\frac{25-26.7}{4.7} ≈ −0.362

P(z<0.702)=0.7587

P(z<−0.362)=0.3587

Then P(z(25)<z<z(30)) =0.7587 - 0.3587 =0.4

d) to find the value for which only about 20% have a larger left atrial diameter, we assume

P(z>z*)=0.2 or 20% where z* is the z-score of the value we are looking for.

Then P(z<z*)=0.8 and z*=0.84. That is

0.84=\frac{X-26.7}{4.7}  solving this equation for X we get X=30.648

5 0
3 years ago
as a contractor to make a hole 4 5/8 inches diameter. express the mixed number as an improper fraction.
san4es73 [151]

The mixed number as an improper fraction is 37/8

<h3>How to express the mixed number as an improper fraction?</h3>

The diameter is give as:

Diameter = 4 5/8

Next we convert the above number to an improper fraction

The numerator is calculated as

Numerator = 8 * 4 + 5

This gives

Numerator = 37

Hence, the mixed number as an improper fraction is 37/8

Read more about fractions at:

brainly.com/question/18734292

#SPJ1

7 0
1 year ago
Expand and combine like terms. (2x^4+3x^3)(2x^4-3x^3)
Juli2301 [7.4K]

Step-by-step explanation:

Use the form (a + b)(a - b) = a^2 - b^2:

(2x^4 + 3x^3)(2x^4 - 3x^3) = 4x^8 - 9x^6.

7 0
3 years ago
What is 2x - (3x +2x)​
irina1246 [14]
2x - (3x + 2x)
= -3x

hope this helps !!
4 0
3 years ago
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What is 0.407 repeating times 100
ahrayia [7]
40.7..........................
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