When you went to sleep, the temperature was −2.8°C.

Which of the following binomials is a factor of x^3+4x^2+x-6

larisa [96]

The answer could be 3, 2, or 1

5 0

3 years ago

Jane must get at least three of the four problems on the exam correct to get an A. She has been able to do 80% of the problems o

NISA [10]

Answer:

a) There is n 81.92% probability that she gets an A.

b) If she gets the first problem correct, there is an 89.6% probability that she gets an A.

Step-by-step explanation:

For each question, there are only two possible outcomes. Either the answer is correct, or it is not. This means that we can solve this problem using binomial distribution probability concepts.

Binomial probability distribution

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

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

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

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

And $\pi$ is the probability of X happening.

For this problem, we have that:

The probability she gets any problem correct is 0.8, so $\pi = 0.8$ .

(a) What is the probability she gets an A?

There are four problems, so $n = 4$

Jane must get at least three of the four problems on the exam correct to get an A.

So, we need to find $P(X \geq 3)$

$P(X \geq 3) = P(X = 3) + P(X = 4)$

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

$P(X = 3) = C_{4,3}.(0.80)^{3}.(0.2)^{1} = 0.4096$

$P(X = 4) = C_{4,4}.(0.80)^{4}.(0.2)^{0} = 0.4096$

$P(X \geq 3) = P(X = 3) + P(X = 4) = 2*0.4096 = 0.8192$

There is n 81.92% probability that she gets an A.

(b) If she gets the first problem correct, what is the probability she gets an A?

Now, there are only 3 problems left, so $n = 3$

To get an A, she must get at least 2 of them right, since one(the first one) she has already got it correct.

So, we need to find $P(X \geq 2)$

$P(X \geq 3) = P(X = 2) + P(X = 3)$

$P(X = 2) = C_{3,2}.(0.80)^{2}.(0.2)^{1} = 0.384$

$P(X = 4) = C_{3,3}.(0.80)^{3}.(0.2)^{0} = 0.512$

$P(X \geq 3) = P(X = 2) + P(X = 3) = 0.384 + 0.512 = 0.896$

If she gets the first problem correct, there is an 89.6% probability that she gets an A.

3 0

3 years ago

Find the simple interest earned after 5 years on $1200 invested at 2% annual interest rate

makkiz [27]

Multiply principle by time by rate
1200(.02)(5)
120

8 0

3 years ago

A ladder is placed against a building so that it reaches 35 feet up the side of the building when its base is 12 feet from the b

tatyana61 [14]

Answer:

35 multiplied by 12

Step-by-step explanation:

Because either you multiply it or you do sohcahtoa

3 0

3 years ago

Please help!!! I can't figure it out

weeeeeb [17]

A) From the given graph, we can see that the point where graph functions p(x) and f(x) intersect is seen to be;

x = 1, y = 5.0125

B) The possible solutions of the given equation will be; x = 3.11 or -3.11

C) The solution to p(x) = g(x) is; x = 0 and y = 0

<h3>How to find the solution to simultaneous equations graphically?</h3>

When we are trying to solve two simultaneous equations, there are three methods we can use namely;

1) Elimination Method

2) Substitution Method

3) Graphical Method

Now, we see that we are to use the graphical method from the given graph.

Now, the solution to the given pair of equation will be the coordinates of the points where both graphs intersect.

A) From the given graph, we can see that the point where graph functions p(x) and f(x) intersect is seen to be;

x = 1, y = 5.0125

B) The possible solutions of the given equation will be the point where f(x) = 0 which is where the line crosses the x-axis and so we have;

x = 3.11 or -3.11

C) The solution to p(x) = g(x) is the coordinate;

x = 0 and y = 0

Read more about Simultaneous Equations Solutions at; brainly.com/question/16863577

#SPJ1

7 0

1 year ago