Answer:
1) 5: 2
2) 8:1
3) 81
4) 6
Step-by-step explanation:
If the given expression is simplified we get a. -4x² - 3x + 2.
Explanation:
- The numerator has three terms while the denominator only has one term. We divide the numerator terms each separately with the denominator term.
- So 8x³ + 6x² - 4x / -2x becomes (8x³ / -2x) + (6x² / -2x) + (- 4x/ -2x).
- The simplification of the first term; 8 / -2 = -4, x³ / x = x². So the first term is -4x².
- The simplification of the second term; 6 / -2 = -3, x² / x = x. So the second term is -3x.
- The simplification of the third term; -4 / -2 = 2, x / x = 1. So the third term is 2.
- Adding all the terms we get -4x² - 3x + 2. This is the option a.
Answer:
a. The Venn diagram is explained in the attached word file.
0.61
b. Not independent
Step-by-step explanation:
a. The hypothetical 1000 table for given situation is
Adult(A) Not Adult (not A) Total
Travel outside (T) 610 170 780
Not Travel outside (not T) 110 110 220
Total 720 280 1000
P(Adult and travel outside)=P(A and T)=610/1000=0.61
b. Multiplication rule for independent events is
P(A and B)=P(A)*P(B)
P(A and T)=0.61
P(A)*P(T)=0.72*0.78=0.56
As P(A and T) is not equal to P(A)*P(T), so event "being an adult" and "travel outside" are not independent.
Answer:
Q2. Original 100%
New Selling price=100% - 25% = 75% of original
Sale price of bracelet= 75/100 × 44 = $33
Q3. 100%- 25%= 75%
Cost of table= 75/100 × 425= $318.75
Alternatively,
Discount= 25/100 × 425 = $106.25
Cost of table= $425- $106.25= $318.75
Q4. 10 cans ---- $4
1 can= 4÷10 = $0.40
15 cans= $0.40 ×15 = $6
Q5. Total number of children= 35+5= 40
Total people= 10+40 = 50
Thus, the ratio is 40:50= 4:5 (<em>divide by 10</em>)
The width of the pathway is 3m
Step-by-step explanation:
Let the width of the pathway be 'w'
The area will be 130 square meters
The dimensions of the garden is 10 x 7
Area = (10+w) (7+w)
130 = 70 + 17w + w^2
w^2 + 17w - 60 = 0
w^2 +20w - 3w - 60 = 0
w ( w + 20) - 3 ( w + 20) = 0
(w + 20) (w - 3) = 0
w = -20 ( or) w = 3
w is the width and cannot be negative.
So, w = 3 meters
The width of the pathway is 3m