Ask question

Ask question

All categories

2 years ago

10

Evaluate the integral. (3 + 1/4 u^4 − 2/3 u^9) du

1 answer:

polet [3.4K]2 years ago

6 0

<span> (3 + 1/4 u^4 − 2/3 u^9) du</span>

You might be interested in

A real estate agent has 19 properties that she shows. She feels that there is a 30% chance of selling any one property during a

netineya [11]

Answer:

$P(X \geq 5)=1-P(X$

We can find the individual probabilities:

$P(X=0)=(19C0)(0.3)^0 (1-0.3)^{19-0}=0.00114$

$P(X=1)=(19C1)(0.3)^1 (1-0.3)^{19-1}=0.0092$

$P(X=2)=(19C2)(0.3)^2 (1-0.3)^{19-2}=0.0358$

$P(X=3)=(19C3)(0.3)^3 (1-0.3)^{19-3}=0.0869$

$P(X=4)=(19C4)(0.3)^4 (1-0.3)^{19-4}=0.1491$

And replacing we got:

$P(X \geq 5) = 1-[0.00114+0.009282+0.0358+0.0869+0.149]= 0.7178$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=19, p=0.3)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

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

And we want to find this probability:

$P(X \geq 5)$

And we can use the complement rule:

$P(X \geq 5)=1-P(X$

We can find the individual probabilities:

$P(X=0)=(19C0)(0.3)^0 (1-0.3)^{19-0}=0.00114$

$P(X=1)=(19C1)(0.3)^1 (1-0.3)^{19-1}=0.0092$

$P(X=2)=(19C2)(0.3)^2 (1-0.3)^{19-2}=0.0358$

$P(X=3)=(19C3)(0.3)^3 (1-0.3)^{19-3}=0.0869$

$P(X=4)=(19C4)(0.3)^4 (1-0.3)^{19-4}=0.1491$

And replacing we got:

$P(X \geq 5) = 1-[0.00114+0.009282+0.0358+0.0869+0.149]= 0.7178$

4 0

3 years ago

There are a total of 18 socks. If the ratio of purple socks to white socks is 2 to 4, how

ehidna [41]

Answer:

12 of them

Step-by-step explanation:

2:4

4:8

6:12

8 0

3 years ago

Read 2 more answers

21 divided by x = -7 Can you PLS SOLVE X

VikaD [51]

Answer:

EASY. x=-3

Step-by-step explanation:

You need to divide 21 by -7. You'll get the same answer as me

Hope this helped!!

8 0

3 years ago

Which ordered pair is a solution of this equation

Travka [436]

Answer: just by looking at the graph, it looks like (-1, -2) is the ordered pair. But to be sure, just plug in the ordered pair

Step-by-step explanation:

6x - y = -4

6(-1) - (-2) = -4

-6 + 2 = -4

-4 = -4

4 0

2 years ago

Please help asap! The numbers for the graph have to be whole! (Can’t be .5)

UkoKoshka [18]

Put the top point on the first point from the top and the other one on the first point from the bottom.

6 0

3 years ago