Solving Quadratic Equations A B C D

Americans consume about 13,150,000,000 gallons of carbonated drinks each year. Express this number in scientific notation.

ExtremeBDS [4]

It would be 1.315 × 10¹⁰.

8 0

3 years ago

Someone talk to me ..

Zigmanuir [339]

Answer:

Hi

Step-by-step explanation:

3 0

3 years ago

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How can you write a linear function in the form y=mx + b by using the two points given below (0,-2), (2,6)

elixir [45]

Answer:

y = 4x - 2

Step-by-step explanation:

m = y-y/x-x

m = 6-(-2)/2-0

m = 8/2

m = 4

6 0

3 years ago

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Assume the random variable x has a binomial distribution with the given probability of obtaining a success. Find the following.

borishaifa [10]

Answer:

P(x > 10) = 0.6981.

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

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

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this question:

$n = 14, p = 0.8$

P(x>10)

$P(x > 10) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 11) = C_{14,11}.(0.8)^{11}.(0.2)^{3} = 0.2501$

$P(X = 12) = C_{14,12}.(0.8)^{12}.(0.2)^{2} = 0.2501$

$P(X = 13) = C_{14,13}.(0.8)^{13}.(0.2)^{1} = 0.1539$

$P(X = 14) = C_{14,14}.(0.8)^{14}.(0.2)^{0} = 0.0440$

$P(x > 10) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) = 0.2501 + 0.2501 + 0.1539 + 0.0440 = 0.6981$

So P(x > 10) = 0.6981.

8 0

3 years ago

Which is larger 3/4 or 0.73

slava [35]

Answer:

3/4

Step-by-step explanation:

3/4 as a decimal is .75

.75>.73

6 0

3 years ago

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