Please I need help!!! My grade depends on it!

1 answer:

8 0

A binomial distribution has the following properties;
1. There is a fixed number of trials.
2. Each trial is independent of the others.
3.Each trial has a constant probability of success.
4. There are only two possible outcomes, 'success' and 'failure'.

Statements B and D meet the requirements for the variable X to have a binomial distribution.

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Oil consumption in China grew exponentially from 8.938 million barrels per day in 2010 to 10.480 million barrels per day in 2013

Afina-wow [57]

Let the year represents x axis and consumption represents y axis.

Since 2010 is the initial year, x=0

and 2013 is third year , so x=3

Co-ordinates are (0,8.938)(3,10.480)

Exponential formula is $y=ab^{x}$

Putting the value of x in the above formula from 1st coordinate,

$8.938=ab^{0}$

As $b^{0}$ = 1

this gives a= 8.938

Now using the 2nd coordinate

$10.480=ab^{3}$

putting the value of a in it we have

$10.480=8.938b^{3}$

taking cube roots on both sides we get

b= 1.05448

Now putting the values of a and b in the exponential formula-

$y=8.938(1.05448)^{x}$

In the year 2028, x=28

so,

$y=8.938(1.05448)^{28}$

y= 39.474

Hence oil consumption per day in 2028 will be 39.474 million barrels.

5 0

2 years ago

Read 2 more answers

X f(x) = x2 + 4x . x2_4

PtichkaEL [24]

The answer is 1/(x+4)
Explanation:
You would factor out the denominator
So,
(X-4)(x+4)=x^2-16
So, x-4/(x+4)(x-4)
Then x-4 cancels each other out from the numerator and denominator
Leaving 1/x+4

6 0

2 years ago

What is the simplest form of 2√3/ √6 A. √2 B. √3 C. 3√2 D. 2√3

STatiana [176]

The answer is:

A) √2

Explanation:

2√3/ √6

=2/√2

= 2√2/√2√2

= 2√2/2

= √2