The required simplified expression for 9(m - 9) - 4(10m + 2) is -31m - 90.
Given that,
To rewrite in simplest terms: 9(m-9)-4(10m+2).
<h3>What is simplification?</h3>
The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.
Question asked to simplify the term 9(m-9)-4(10m+2).
= 9(m - 9) - 4(10m + 2)
= 9m - 81 - 40m - 8
= -31m - 90
Thus, the required simplified expression for 9(m - 9) - 4(10m + 2) is -31m - 90.
Learn more about simplification here: brainly.com/question/12501526
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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)
Answer:
A
Step-by-step explanation:
using the rule : 
= 
+ 7
sequence A with a₁ = 11
a₂ = a₁ + 7 = 11 + 7 = 18
a₃ = a₂ + 7 = 18 + 7 = 25
a₄ = a₃ + 7 = 25 + 7 = 32
sequence A is generated using the rule
sequence B with a₁ = 17
a₂ = a₁ + 7 = 17 + 7 = 24
a₃ = a₂ + 7 = 24 + 7 = 31
a₄ = a₃ + 7 = 31 + 7 = 38
sequence B is not generated using the rule
sequence C with a₁ = - 15
a₂ = - 15 + 7 = - 8
a₃ = a₂ + 7 = - 8 + 7 = - 1
a₄ = a₃ + 7 = - 1 + 7 = 6
sequence C is not generated using the rule
sequence D with a₁ = - 9
a₂ = a₁ + 7 = - 9 + 7 = - 2
a₃ = a₂ + 7 = - 2 + 7 = 5
a₄ = a₃ + 7 = 5 + 7 = 12
sequence D is not generated using the rule
Answer:
(a+b,c)
Step-by-step explanation:
Note that the midpoint formula is:
Point A (0,0) and Point C (2a+2b,2c)
It follows that:
Answer:
The acceleration of the car will be 400 m/s².
Step-by-step explanation:
The acceleration of the car can be found using Newton second law:
Where:
F: is the net force = 200 N
m: is the mass = 500 g
a: is the acceleration =?
Then, the acceleration will be:
Therefore, the acceleration of the car will be 400 m/s².
I hope it helps you!
