Answer: A Person's age is usually considered a discrete variable.
Step-by-step explanation: lets say a person was born in November 2000 and the date is currently September 2020 if asked their age the person would say 19 because they have not turned 20 yet. therefore no matter what date anytime between their 19th birthday up until their 20th birthday they would say they are 19 making age a discrete variable.
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= 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*= ≈ −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*= ≈ 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)= ≈ 0.702
z(25)= ≈ −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= solving this equation for X we get X=30.648
Good morning
Answer:
NO
Step-by-step explanation:
Here we just substitute x and y by their values and see if the inequality still true or not
y = 3
6x + 3 = 6(2) + 3 = 15
since 3 < 15 then the inequality y > 6x + 3 is wrong.
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:)
A-b is the answers
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Answer:
(x - 10)² + y² = 29
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (10, 0), thus
(x - 10)² + (y - 0)² = r²
The radius is the distance from the centre to a point on the circle
Calculate r using the distance formula
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (10, 0) and (x₂, y₂ ) = (5, 2)
r =
=
= =
Thus
(x - 10)² + (y - 0)² = ( )², that is
(x - 10)² + y² = 29 ← equation of circle