Answer:
5.2
Step-by-step explanation:
To find the height of the plant after 7 weeks, we need to find out the equation of the line of best fit and plug in 7 for x. We already have our y - intercept, which is 1, and we have a point on the x axis for which the y coordinate is an integer, (5, 4). Since we already have the y - intercept of +1 we have y = mx + 1. Since this applies to (5,4) we can plug this in to our equation. This is then 4 = 5m + 1. Subtracting 1 from both sides, we get 3 = 5m. Dividing by 5, we receive m = 3/5. Since now we have our slope, we can plug in 7 and find out our answer. Plugging in 7 we receive, y = 3/5 * 7 + 1, which is equal to y = 4.2 + 1. This means that y = 5.2, so 5.2 is our answer.
1/2 fraction of whole carton was used for each serving
Answer:
4 11/16 m²
Step-by-step explanation:
The formula for the area of a rectangle = Length × Width
From the question:
Length = 1 1/4 m
Width = 3 3/4m
Area of the rectangle =
1 1/4 m × 3 3/4 m
= 5/4 m × 15/4 m
= 75/16 m²
= 4 11/16 m²
Area of the rectangle = 4 11/16 m²
Given:250 sheep in a 40-acre pasture.Number of sheep grazing in each acre.
250/40 = 6.25 or 6 sheep per acre
n = 6sample proportion: signified by ρSample 1: 4 → 4/6 = 0.67Sample 2: 1 → 1/6 = 0.17Sample 3: 9 → 9/6 = 1.50
multiply the sample proportion by 1-ρSample 1: 0.67(1-0.67) = 0.67(0.33) = 0.2211Sample 2: 0.17(1-0.17) = 0.17(0.83) = 0.1411Sample 3: 1.50(1-1.5) = 1.5(-0.5) = -0.75
divide the result by n. n = 6Sample 1: 0.2211/6 = 0.03685Sample 2: 0.1411/6 = 0.02352Sample 3: -0.75/6 = -0.125
square root of the quotient to get the standard error.Sample 1: √0.03685 = 0.1919Sample 2: √0.02352 = 0.1534Sample 3: √-0.125 = invalid
z value 95% confidence 1.96.
Sample 1: 1.96 * 0.1919 = 0.3761 or 37.61% margin of errorSample 2: 1.96 * 0.1534 = 0.3007 or 30.07% margin of error
11. Take the logarithm, base X.
a² - ab = 10
Since we are given that b = a - 2, we can substitute for b to get
a² - a(a -2) = 10
a² - a² + 2a = 10 . . . . . eliminate parentheses
a = 5 . . . . . . . . . . . . . . simplify, divide by 2
_____
Check: a² = 5² = 25
ab = 5·3 = 15
X^25/X^15 = X^10 . . . . . the answer works
