Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
5 years old:
Mean height (m) = 43
Standard deviation (σ) = 1.8
Height on fifth birthday (x) = 44
7 years old:
Mean height (m) = 48
Standard deviation (σ) = 2.1
Height on 7th birthday (x) = 49
To get the standardized score :
USe :
Zscore = (x - mean) / standard deviation
At 5 years:
Zscore = (44 - 43) / 1.8
Zscore = 1/ 1.8
Zscore = 0.556
At 7 years:
Zscore = (49 - 48) / 2.1
Zscore = 1/ 2.1
Zscore = 0.476
At the different ages, John's growth rate in height declined after the 5 th years as the standardized score at 5 years is greater than at 7 years.
Answer:
d=19.6 km,r=9.8 km
Step-by-step explanation:
USE equation for C
C=2rπ
19.6π=2rπ
19.6=2r
d=19.6 km
r=9.8 km
Answer:
Step-by-step explanation:
Given: ∠PTQ ≅ ∠STR and TP, TQ, TR and TS are radii of the circle.
If two angle are equal, then they are equal in size and their measurements are equal.
IF ∠PTQ ≅ ∠STR then they are also equal in their measurements.
Now, In ΔPTQ and ΔSTR
∠PTQ ≅ ∠STR (vertically opposite angle)
(Radius of the circle are equal and congruent in length)
(Radius of the circle)
∴ ΔPTQ ≅ ΔSTR (SAS postulate)
∴ 
(corresponding sides of congruent triangle are equal and congruent).
Let x be the first jug, y the second jug.
From first statement, subtracting 1 from x, makes them equal:
x - 1 = y
From second statement, subtracting 2 from y, makes it half of x:
x/2 = y-2
Solve system with substitution:
x/2 = (x-1) -2
x/2 = x - 3
x- x/2 = 3
x/2 = 3
x = 6
y = x-1 = 6-1 = 5
Therefore the largest jug contains 6 liters.
Answer:
the answer is 42/100
42 blocks are shaded out of 100
