Answer:
EFG = 90 degrees
GDH = 45 degrees
FEG = 45 degrees
DHG = 90 degrees
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
7x-21-10x+20=5
7x-10x-1=5
-3x=5+1
x=-6/3
x=-2
Answer: 9
Step-by-step explanation:
M=3 and the equation is 3m so your going to multiply. So the equation would be 3*3 and 3*3=9 so that's your answer
Answer:
P (X ≤ 4)
Step-by-step explanation:
The binomial probability formula can be used to find the probability of a binomial experiment for a specific number of successes. It <em>does not</em> find the probability for a <em>range</em> of successes, as in this case.
The <em>range</em> "x≤4" means x = 0 <em>or</em> x = 1 <em>or </em>x = 2 <em>or</em> x = 3 <em>or</em> x = 4, so there are five different probability calculations to do.
To to find the total probability, we use the addition rule that states that the probabilities of different events can be added to find the probability for the entire set of events only if the events are <em>Mutually Exclusive</em>. The outcomes of a binomial experiment are mutually exclusive for any value of x between zero and n, as long as n and p don't change, so we're allowed to add the five calculated probabilities together to find the total probability.
The probability that x ≤ 4 can be written as P (X ≤ 4) or as P (X = 0 or X = 1 or X = 2 or X = 3 or X = 4) which means (because of the addition rule) that P(x ≤ 4) = P(x = 0) + P(x = 1) + P (x = 2) + P (x = 3) + P (x = 4)
Therefore, the probability of x<4 successes is P (X ≤ 4)
We are tasked to solve for the ratio of the two boxes. Boxes are cubes. We can use the formula in solving the surface area of the box as shown below:
Surface Area of Cube = 6a² where "a" is the length of the side.
For smaller box:
Area= 6(12)²=864
Area =864
For the larger box:
Area = 6(18)²
Area=1944
Then, the ratio is:
Area smaller box/Area larger box =864/1944
Ratio=4:9
