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:
in a 140 meter spool there are 31 1/9 times 4 1/2 meters of ribbon
Step-by-step explanation:
To find out how many 4 1/2 meters of ribbon are there in a 140 meter spool, divide 140 meter by 4 1/2 meter, but first convert mixed number to an improper fraction
Convert to mixed number
therefore
in a 140 meter spool there are 31 1/9 times 4 1/2 meters of ribbon
2 is in the ones place
3 is in the tenths place.
Step-by-step explanation:
2x + 1 + x - 13 = 180° because these angles are supplementary
3x - 12 = 180°
3x = 180 + 12
3x = 192 divide both sides by 3
x = 64
2x + 1 ➡ 2 × 64 + 1 = 129°
x - 13 ➡ 64 - 13 = 51°
0.7 repeating is the answer
