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3 years ago

13

Is 9.23= to 9.32 hope I can get the correct answer

1 answer:

Musya8 [376]3 years ago

6 0

9.23 is less than 9.32 because .32 is more than .23

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Every time I use a piece of scrap paper, I crumple it up and try to shoot it inside the recycling bin across the room. I'm prett

valentinak56 [21]

Using the binomial distribution, it is found that there is a 0.0012 = 0.12% probability at least two of them make it inside the recycling bin.

<h3>What is the binomial distribution formula?</h3>

The formula is:

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

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

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

With 5 shoots, the probability of making at least one is $\frac{211}{243}$ , hence the probability of making none, P(X = 0), is $\frac{232}{243}$ , hence:

$(1 - p)^5 = \frac{232}{243}$

$\sqrt[5]{(1 - p)^5} = \sqrt[5]{\frac{232}{243}}$

1 - p = 0.9908

p = 0.0092

Then, with 6 shoots, the parameters are:

n = 6, p = 0.0092.

The probability that at least two of them make it inside the recycling bin is:

$P(X \geq 2) = 1 - P(X < 2)$

In which:

[P(X < 2) = P(X = 0) + P(X = 1)

Then:

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

$P(X = 0) = C_{6,0}.(0.0092)^{0}.(0.9908)^{6} = 0.9461$

$P(X = 1) = C_{6,1}.(0.0092)^{1}.(0.9908)^{5} = 0.0527$

Then:

P(X < 2) = P(X = 0) + P(X = 1) = 0.9461 + 0.0527 = 0.9988

$P(X \geq 2) = 1 - P(X < 2) = 1 - 0.9988 = 0.0012$

0.0012 = 0.12% probability at least two of them make it inside the recycling bin.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

7 0

2 years ago

Triangle MPT with NR || MT is shown below the dimensons are in centimeters which measurements is closest to the length of RT in

svlad2 [7]

Step-by-step explanation:

do u have like a photo or sum to explain it better

7 0

2 years ago

Find the volume of the solid. Round to the nearest tenth if necessary.

Vikki [24]

$V= \frac{4}{3} \pi r^{3} or V=4.1888 r^{3}$

r=4 $r^{3}$ =64*4.1888=268.083

V = 268.083 $mm^{3}$ so go with A.

7 0

3 years ago

betty has 15 less than triple the number of points that jennie has. Write an expression to find how many points betty 1. has??

Troyanec [42]

3x - 15

less than or more than trick-------> the number before those words should be the second number in the equation

4 0

3 years ago

Read 2 more answers

Derive the equation of the parabola with a focus at (−5, −5) and a directrix of y = 7

WARRIOR [948]

Answer: The equation of the parabola is $(x+5)^2=-24(y-1)$ .

Explanation:

It is given that the focus of the parabola is (-5,-5) and the directrix is y=7.

The standard form of the parabola is,

$(x-h)^2=4p(y-k)$

Where y=k-p is directrix and (h,k+p) is the focus.

Since focus is given,

$(h,k+p)=(-5,-5)$

On comparing,

$h=-5$

$k+p=-5$ .... (1)

The directrix is y=7.

$k+p=7$ .... (2)

Add equation (1) and (2),

$2k=2$

$k=1$

Put this value in (1).

$p=-6$

Put p= -6, h= -5 and k=1 in the standard form of the parabola.

$(x+5)^2=4(-6)(y-1)$

$(x+5)^2=-24(y-1)$

Therefore, the equation of parabola is $(x+5)^2=-24(y-1)$ .

8 0

3 years ago

Read 2 more answers