The sampling distribution standard deviation is the population standard deviation divided by the root of the sample size.
sampling distribution standard deviation = 6.00/√36 = 1.00
Step-by-step explanation:
I am not allowed to answer more than 3 questions. So I will do the first 3.
15a. i) (2/3) = 4/9
ii) (2/3) = 8/27
iii) (2/3) = 16/81
b. The product is small because you are finding the fraction of a fraction.
16. Compared to the factors, the product is less than each fraction. This is because, as stated above, you are trying to find a fraction (a part of the whole) of another fraction. When you multiply a whole number by a fraction, the whole number decreases. The same applies to a fraction.
17a. 0.4 × 0.3 = 0.12
b. 0.4 = 4/10 = 2/5
0.3 = 3/10
3/10 × 2/5 = 6/50
You will be using the equation y = mx + b
The only variables you need to find are "m" and "b"
For the equation of a line to be perpendicular to the given line, the slope will have to be the opposite of the given slope. Or you have to flip the sign and the number of the given slope to get your new slope.
For example:
m = -2
perpendicular slope = 1/2(positive)
m = 3/4
perpendicular slope = -4/3(negative)
The slope of the line is -1.5 or -3/2
Your new slope is 2/3
y = 2/3x + b
To find "b", you plug in the point (2,0) into the equation.
0 = 2/3(2) + b
0 = 4/3 + b
-4/3 = b
Your new equation is y = 2/3x - 4/3
Answer:
f(h) = 0.004s + 37
Step-by-step explanation:
The correct representation of the height of the plant is;
f(h) = 0.004s + 37
Given parameters;
Height of plant = 37cm
Rate of growth = 0.004cm/hr
Number of hours of sunlight = s
To solve this problem, the height of the plant is directly dependent on the amount of sunlight;
f(h) signifies that height is a function
The height of the plant is 37cm;
f(h) = 37
The plant grows at a rate of 0.004cm/hr; number of hours of sunlight is s;
0.004s
Therefore;
f(h) = 37 + 0.004s
