The midpoint of VW is M(2, 4). One endpoint is W(1, 7). Find the coordinates of the other endpoint V.

According to an article, 47% of adults have experienced a breakup at least once during the last 10 years. Of 9 randomly select

In-s [12.5K]

Answer:

a) $P(X=5)=(9C5)(0.47)^5 (1-0.47)^{9-5}=0.228$

b) $P(X=0)=(9C0)(0.47)^0 (1-0.47)^{9-0}=0.0033$

And replacing we got:

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

c) $P(X=4)=(9C4)(0.47)^4 (1-0.47)^{9-4}=0.257$

$P(X=5)=(9C5)(0.47)^5 (1-0.47)^{9-5}=0.228$

$P(X=6)=(9C6)(0.47)^6 (1-0.47)^{9-6}=0.135$

And adding we got:

$P(4 \leq X \leq 6)= 0.257+0.228+0.135=0.620$

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:

$X \sim Binom(n=9, p=0.47)$

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:

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

Assuming the following questions:

a. exactly five

For this case we can use the probability mass function and we got:

$P(X=5)=(9C5)(0.47)^5 (1-0.47)^{9-5}=0.228$

b. at least one

For this case we want this probability:

$P(X \geq 1)$

And we can use the complement rule and we got:

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

$P(X=0)=(9C0)(0.47)^0 (1-0.47)^{9-0}=0.0033$

And replacing we got:

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

c. between four and six, inclusive.

For this case we want this probability:

$P(4 \leq X \leq 6)$

$P(X=4)=(9C4)(0.47)^4 (1-0.47)^{9-4}=0.257$

$P(X=5)=(9C5)(0.47)^5 (1-0.47)^{9-5}=0.228$

$P(X=6)=(9C6)(0.47)^6 (1-0.47)^{9-6}=0.135$

And adding we got:

$P(4 \leq X \leq 6)= 0.257+0.228+0.135=0.620$

6 0

3 years ago

What is the slope intercept from for 16x+9y=40

Doss [256]

Answer:

$y = (- \frac{16}{9})x + \frac{40}{9}$ is the slope intercept form for 16x+9y=40

Step-by-step explanation:

Here, the given equation is 16 x + 9 y = 40

Now, the slope intercept form of an equation is y = mx + c,

here m = slope of the equation, b = y - intercept

So, now 16x + 9y = 40 on simplification gives

9y = 40 - 16x

or $y = \frac{40 - 16x}{9} = \frac{40}{9} - \frac{16x}{9}$

or, $y = (- \frac{16}{9})x + \frac{40}{9}$ is the slope intercept form of the given equation.

Here, m = (-16/9) and y- intercept = 40/9

7 0

4 years ago

Spencer bought a soccer ball for $9. 95 and z baseballs for $2. 99 each. Which of the following expressions shows the total amou

Elan Coil [88]

Answer:

9.95 + 2.99z

Step-by-step explanation:

9.95 + 2.99z

6 0

3 years ago

Ethan planted a tree that is 37.5 inches tall.if the tree grows 3 inches each year, how long will it take for the tree to reach

Mila [183]

First find out how many more inches it needs to grow, 54-37.5; It needs to grow 16.5 more inches. If it grows 3 inches a year then you have to do 16.5/3; 5.5. It will take 5.5 or 5 1/2 more years to grow to 54 inches.

5 0

3 years ago

? Don't Send links, don't Write random things and get the points for free.

alekssr [168]

Answer:

$V = 1847.26\ ft^3$