Answer:
k = 2
x = 2y
Step-by-step explanation:
If variables x and y vary directly, this is expressed as;
x ∝ y
x = ky
k is the proportionality constant
Let's assume the value of x and y since we are not given;
x = 20
y = 10
Substitute
20 = k(10)
10k = 20
k = 20/10
k = 2
Hence the constant of proportionality is 2
Substitute i=k = 2 into the equation x = ky
x = 2y
Hence an equation that relates x and y is x = 2y
<em>Note that the values here are assumed value, you can use the same method for any values of x and y</em>
Answer:
The answer is 75 degrees
Step-by-step explanation:
All triangles interior angles will at up to 180. 52.5+52.5= 105. 180-105= 75 degrees.
Answer:
1/4
Step-by-step explanation:
That is because . One each line, you would divide y by x to get the constant, which is 1/4.
Answer:
see below
Step-by-step explanation:
The surface area of a cylinder is
SA = 2 pi r^2 + 2 pi rh because there is a top and a bottom
= 2 * pi (5)^2 + 2 * pi (5) (10.6)
= 50 pi + 106pi
= 156 pi
=489.84 yd^2
Answer:
65.827% of the apples have diameter between 3.5 and 4.3 inches.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation , the zscore of a measure X is given by
After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X.
So, to find the proportion of apples with diameter between 3.5 and 4.3 inches, we subtract the pvalue of the zscore of X = 4.3 by the pvalue of the zscore of X = 3.5.
The diameters of apples from a certain farm follow normal distribution with mean 4 inches and standard deviation 0.4 inch. So , .
For X = 4.3
Z = 0.75 has a pvalue of 0.77337
For X = 3.5
Z = -1.20 has a pvalue of 0.1151
Subtracting
65.827% of the apples have diameter between 3.5 and 4.3 inches.