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
AnswEr :
Let's assume , three Consecutive integers be x , ( x +1 ) & ( x+2 ) , such that , x < ( x +1 ) < ( x +2 ) .
⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀— The product of three consecutive integers is 30 times the smallest of the three integers.
Therefore ,
<em>When </em><em>,</em><em> </em>x = 2 ,
- First Integer : x , 2 ,
- Second Integer : ( x +1 ) , 3 &
- Third Integer : ( x +2 ) = 4 .
<em>When , </em>x = –7 ,
- First Integer : x , – 7 ,
- Second Integer : ( x +1 ) , – 6 &
- Third Integer : ( x +2 ) = – 5 .
Answer:
-2/3
Step-by-step explanation:
slope=change in y/change in x
3-1/4-7 = -2/3
Let's call:
M = necklaces owned by Mary Sue
B = necklaces owned by Betty
You know that:
M + B = 603
M - B = 115
Therefore, when you have the sum and the difference of two numbers, in order to find the biggest number you have to sum the sum and the difference and divide it by 2, and in order to find the smallest number you have to subtract the difference from the sum and divide it by 2:
M = [(M + B) + (M - B)] ÷ 2
= [603 + 115] ÷ 2
= 359
B = [(M + B) - (M - B)] ÷ 2
= [603 - 115] <span>÷ 2
= 244
</span>
Hence, Mary Sue has 359 necklaces and Betty has 244 necklaces.
Step-by-step explanation:
It will take 5 years because when you add 5 to Stephanie's age = 18 + 5 = 23
And Ashley age = 64 + 5 = 69
So when you multiply 23 by 3 = 69
This means after 5 years Ashley will be 3 times as old as Stephanie