Answer:
The correct option is;
C. (1.6, 1.3)
Step-by-step explanation:
Given that at x = 1.5 the y-values of both equations are y = 1.5 and y = 1 respectively
The x-value > The y-value
The difference in the y-values = 1.5 - 1 = 0.5
At x = 1.6 the y-values of both equations are y = 1.2 and y = 1.4 respectively
The x-value > The y-value
The difference in the y-values = 1.2 - 1.4 = -0.2
At x = 1.7 the y-values of both equations are y = 0.9 and y = 1.8 respectively
The x-value > The first y-value and the x-value < the second y-value
The difference in the y-values = 0.9 - 1.8 = 0.9
Therefore, the approximate y-value can be found by taking the average of both y-values when x = 1.6 where the difference in the y-values is least as follows;
Average y-value at x = 1.6 = (1.2 + 1.4)/2 = 1.3
Therefore, the best approximation of the exact solution is (1.6, 1.3)
By calculation, we have;
-3·x + 6 = 4·x - 5
∴ 7·x = 11
x = 11/7 ≈ 1.57
y = 4 × 11/7 - 5 ≈ 1.29
The solution is (1.57, 1.29)
Answer: the probability that exactly 5 of the 8 cherry tomatoes weigh less than 4 oz is 0.05
Step-by-step explanation:
Given that;
X has normal distribution has mean µ = 3
standard deviation σ = 2
now
P( x< 4) = P( (x-µ)/σ /(3-4)/5)
= P( z < -0.5 )
= 0.3085 {from the z-table}
X has binomial distribution with n = 8 and p = 0.3085
so P(x=5)
P(x=5) = 8C₅(0.3085)⁵ (1 - 0.3085)⁸⁻⁵
= 0.0517 ≈ 0.05
Therefore the probability that exactly 5 of the 8 cherry tomatoes weigh less than 4 oz is 0.05
Answer:
4 1/4 and from all the 1/2 bags they=2 lb
Answer:
700 Feet?
Step-by-step explanation:
A rectangle has 4 sides.
2 of them are 100 ft
2 of them are 250 ft.
2x100=200
2x250=500
500 ft +200 ft=700ft
