Answer:
120 cm
Step-by-step explanation:
1/2 is 6 months and 6 years are 72 months.
Using the rule of three, 10 cm is to 6 months what x is for 72 months so
x = (72 * 10) / 6 = 120
Volume of the candle:
V = B * h ( where B is the base area and h is the height )
270 = B * 18
B = 270 : 18
B = 15 cm²
B = a * b / 2
B = 5 * b / 2
15 = 2.5 b
b = 15 : 2.5
b = 6 cm
Therefore dimensions of the box are: a = 7cm, b = 6 cm, c = 18 cm.
Answer: B ) 7 by 6 by 18 cm.
Answer:
⅖ is the slope
Step-by-step explanation:
To find slope:




Answer:
b = 5√6
c = 10√5
Step-by-step explanation:
This is a 30-60-90 triangle
the hypotenuse is always twice the short leg
c = 2(5√2)
c = 10√5
The long leg is alway √3 times the short leg
b = √3(5√2)
b = 5√6
Answer:
a) P(6) = 0.0097
b) P(More than 3) = 0.1611
Step-by-step explanation:
For each question, there are only two possible outcomes. Either it is guessed correctly, or it is not. Questions are independent of each other. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
A student takes a multiple-choice test that has 11 questions.
This means that 
Each question has five choices.
This means that 
(a) Find P (6)
This is P(X = 6).


P(6) = 0.0097
(b) Find P (More than 3).
Either P is 3 or less, or it is more than three. The sum of the probabilities of these outcomes is 1. So

We want P(X > 3). So

In which







Then

P(More than 3) = 0.1611