This is a problem of conditional probability that can be calculated by the formula:
P(B | A) = P(A ∩ B) / P(A)
We know that:
- between 1 and 50 there are 41 two-digit numbers, therefore
P(A) = 41/50 = 0.82
- between 1 and 50 there are 8 multiples of six, therefore
P(B) = 8/50 = 0.16
- <span>between 1 and 50 there are 7 two-digits mutiples of six, therefore
P(A ∩ B) = 7/50 = 0.14
Now, we can calculate:
</span>P(B | A) = P(A <span>∩ B) / P(A)
= 0.14 / 0.82
= 0.17
Therefore, the probability of getting a multiple of 6 if we draw a two-digit number is 17%.</span>
Answer:
Option (4).
Step-by-step explanation:
Formula to calculate the volume of a cylinder is,
V = πr²h
Here r = radius of the cylinder
h = Height of the cylinder
From the figure attached,
r =
cm
h = 11 cm
Now we substitute the values of h and r in the formula,
V = π(6.5)²(11)
= 464.75π
= 1459.32
≈ 1459.3 cm³
Therefore, volume of the given cylinder is 1459.3 cm³
Option (4) will be the answer.
Could you please send a picture of the polygon?
Answer:
8 + 1.50x + 0.75y = 19.25
Step-by-step explanation:
Let the number of additional inch = x
Let the number of toppings = y
From the question,
A 10-inch cheese pizza costs $8.
Each additional inch costs $1.50
Each additional topping costs $0.75.
The equation that represents Josh's pizza is when his total cost amounts to $19.25 is:
$8 + $1.50 × x + $0.75y = $19.25
8 + 1.50x + 0.75y = 19.25