Answer:
y varies of directly as x. This means that the equation is of the form y=kx where k is any number.
Substituting y=12 when x=4, we get
12=k×4⇒k=3
Hence, the required equation is y=3x.
The value of y when x=5 is y=3x5=15.
Step-by-step explanation:
bro it will work ♥️
Corresponding angles for parallel lines r and s cut by transversal q. Corresponding angles are congruent angles.
1 and 9
2 and 10
3 and 11
4 and 12
Corresponding angles for parallel lines p and q cut by transversal s. Corresponding angles are congruent angles.
11 and 15
9 and 13
12 and 16
10 and 14
Corresponding angles for parallel lines p and q cut by transversal r. Corresponding angles are congruent angles.
1 and 5
3 and 7
2 and 6
4 and 8
Linear pair theorem. These 2 angles are equal to 180°
∠1 + ∠2 = 180
∠3 + ∠4 = 180
∠9 + ∠10 = 180
∠11 + ∠12 = 180
∠5 + ∠6 = 180
∠7 + ∠8 = 180
∠13 + ∠14 = 180
∠15 + ∠16 = 180
∠1 + ∠3 = 180
∠2 + ∠4 = 180
∠9 + ∠11 =180
∠10 + ∠12 = 180
∠5 + ∠7 = 180
∠6 + ∠8 = 180
∠13 + ∠15 = 180
∠14 + ∠16 = 180
Vertical angles theorem. Vertical angles are congruent.
1 and 4
2 and 3
9 and 12
10 and 11
5 and 8
6 and 7
13 and 16
14 and 15
Answer:
Sample proportion ; phat
x / n
Step-by-step explanation:
The sample proportion may be explained as a proportional representation of part of the population or larger sample which have a certain character or exhibit a particular trait.
The sample proportion is expressed Mathematically as ;
phat = x / n
x = number of subjects with a specified characteristic ;
n = total sample size
For instance ;
The proportion of black balls in a sample of 100 balls is 15 ; the sample proportion of bla k balls will be :
phat = x / n = 15 / 100 = 0.15
