4 over 12 times 8 over 20
= 4/12 * 8/20 ....( 4/12 = 1/3; 8/20 = 2/5)
=1/3 * 2/5
=2/15
500 - 116 = 384 left to collect
384 divided into 3 weeks = 128
They must collect $128 per week in order to reach their goal of $500.
The answer is FALSE. Theorem, as applied in mathematics, is a statement
that has been proved having a basis of laborious mathematical reasoning. The statement
that is assumed to be true without proof is called axiom or postulate. Theorems
are proved using axioms.
Answer: 3/10
Step-by-step explanation: by adding the number of coins up you get 10 coins, then minus how many pennies and nickels there are then it comes out with a proper fraction, no simlifying needed :)
Answer:
13.36
Step-by-step explanation:
I will first create a table
X. Y. XY. X²
1. 20. 20. 1
2. 24. 48. 4
3. 35. 105. 9
4. 46. 184. 16
5. 67. 335. 25
6. 80. 480. 36
1. 12. 12. 1
2. 34. 68. 4
3. 34. 102. 9
5. 78. 430. 25
ΣX = 32
ΣY = 430
ΣXY = 1744
ΣX² = 130
n = 10
The formula for regression line is given as :
Y = a + bX
a = intercept
b = slope
The question requires us to find b which is the slope.
b = nΣXY-ΣXΣY/nΣX²-(ΣX)²
= 10x1744-32x430/10x130-(32)²
= 17440-13760/1300-1024
= 3680/276
= 13.36
b = 13.36
