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ira [324]
3 years ago
5

What is the missing constant term in the perfect square that starts with x^2-20xx 2 −20xx, squared, minus, 20, x ?

Mathematics
1 answer:
tangare [24]3 years ago
8 0

Answer:

Missing constant: 100

Step-by-step explanation:

perfect square  (a - b)^2 = a^2 - 2ab + b^2

In this case

20x = 2 * x * 10

and

10^2 = 100

so

(x - 10)^2 = x^2 - 20x + 100

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2 years ago
Identify the parameters p and n in the following binomial distribution scenario. Jack, a bowler, has a 0.38 probability of throw
Elanso [62]

Answer:

p = 0.38, n = 20

The probability that he throws more than 10 strikes = 0.09233

Step-by-step explanation:

Binomial distribution function is represented by

P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

n = total number of sample spaces = number of times Jack wants to bowl = 20

x = Number of successes required = number of strikes he intends to get

p = probability of success = probability that Jack throws a strike = 0.38

q = probability of failure = probability that Jack doesn't throw a strike = 0.62

P(X > x) = Σ ⁿCₓ pˣ qⁿ⁻ˣ (summing from x+1 to n)

P(X > 10) = Σ ²⁰Cₓ pˣ qⁿ⁻ˣ (summing from 11 to 20)

P(X > 10) = [P(X=11) + P(X=12) + P(X=13) + P(X=14) + P(X=15) + P(X=16) + P(X=17) + P(X=18) + P(X=19) + P(X=20)

P(X > 10) = 0.09233

There are binomial distribution cacalculators that can calculate all of this at once. Get one to minimize errors.

8 0
3 years ago
A line passes through the point (3,6) and has a slope of 5?
hammer [34]

Answer:

y = 5x - 9

Step-by-step explanation:

y - y₁ = m(x - x₁), where (x₁, y₁) = (3, 6)

y - 6 = 5(x - 3)

y = 5x - 15 + 6

y = 5x - 9

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