Answer:
y=8
Step-by-step explanation:
7y-20=3y+12
7y-3y=12+20
4y/4=32/4
y=8
Answer:
Step-by-step explanation:
Using Bayes' theorem, we have:
is a conditional probability: the likelihood of event A occurring, given that B is true.
is also a conditional probability: the likelihood of event B occurring, given that A is true.
P(A) and P(B) are the marginal probabilities of observing A and B, independently of each other.
We solve thus:
=
=
=
=
= or %
Therefore, if an individual tests positive, it is more likely than not (1 - 33.2% = 66.8%) that they do not use the drug.
Answer:
The complement is 53 and the supplement is 143
Step-by-step explanation:
Two complementary angles add to 90
PQR and x = 90
37+x = 90
Subtract 37 from each side
37-37 +x =90-37
x = 53
The complement is 53
Two supplementary angles add to 180 degrees
PQR and x = 180
37+x = 180
Subtract 37 from each side
37-37 +x= 180-37
x = 143
The supplement is 143
The surface area of the figure is 96 + 64π ⇒ 1st answer
Step-by-step explanation:
* Lats revise how to find the surface area of the cylinder
- The surface area = lateral area + 2 × area of one base
- The lateral area = perimeter of the base × its height
* Lets solve the problem
- The figure is have cylinder
- Its diameter = 8 cm
∴ Its radius = 8 ÷ 2 = 4 cm
- Its height = 12 cm
∵ The perimeter of the semi-circle = πr
∴ The perimeter of the base = 4π cm
∵ The area of semi-circle = 1/2 πr²
∴ The area of the base = 1/2 × π × 4² = 8π cm²
* Now lets find the surface area of the half-cylinder
- SA = lateral area + 2 × area of one base + the rectangular face
∵ LA = perimeter of base × its height
∴ LA = 4π × 12 = 48π cm²
∵ The dimensions of the rectangular face are the diameter and the
height of the cylinder
∴ The area of the rectangular face = 8 × 12 = 96 cm²
∵ The area of the two bases = 2 × 8π = 16π cm²
∴ SA = 48π + 16π + 96 = 64π + 96 cm²
* The surface area of the figure is 96 + 64π
10/15 10 to 15 10:15 are answers