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3 years ago

Name one situation in which a humor device would be good to use in your writing?

Mathematics

1 answer:

lapo4ka [179]3 years ago

3 0

When using serious words, you could make a joke in the notice to lighten up the topic

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A CBS News/New York Times survey found that 97% of Americans believe that texting while driving should be outlawed (CBS News web

Murrr4er [49]

Answer:

a) $P(X\geq 8)=0.0317+0.228+0.737=0.9972$

b) $P(X>95) =1-P(X$

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

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".

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:

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

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: $P(A)+P(A') =1$

Part a

We want this probability:

$P(X\leq 12)$

$P(X\geq 8)=P(X=8)+P(X=9)+P(X=10)$

$P(X=8)=(10C8)(0.97)^8 (1-0.97)^{10-8}=0.03174$

$P(X=9)=(10C9)(0.97)^9 (1-0.97)^{10-9}=0.2287$

$P(X=10)=(10C10)(0.97)^{10} (1-0.97)^{10-10}=0.7374$

$P(X\geq 8)=0.0317+0.228+0.737=0.9972$

Part b

We need to check if we can use the normal approximation , the conditions are:

$np=100*0.97=97>10$ and $n(1-p)=100*(1-0.97)=3$

On this case the second condition is not satisfied, but the problem says that we can use it. So then if we apply the normal approximation to the binomial distribution in our case:

$X \sim N(\mu=97,\sigma=1.706)$

We can use the z score formula given by:

$z=\frac{x-\mu}{\sigma}$

And we want this probability:

$P(X>95) = P(Z>\frac{95-97}{1.706})= P(Z>-1.17)$

And we can use the complment rule and we got:

$P(X>95) =1-P(X$

6 0

3 years ago

(30 BRAIN POINTS ) HELP ME I MUST WIN THIS TEST >:(

allochka39001 [22]

Answer:

it is greater for group B than group A

6 0

2 years ago

Please read the following picture below and use 3.142 instead of <img src="https://tex.z-dn.net/?f=%5Cpi" id="TexFormula1" title

Marina86 [1]

Check the picture below.

now, let's notice the larger "yellow" semicircle, it has a gap, the gap on the right is of a semicircle with a diameter of 10, BUT it also has a descender on the left, a part that's hanging out, that part is also a semicircle.

so if we use the descending semicircle to fill up the gap on the right, we'll end up with a filled up larger semicircle, whose diameter is 20, and whose radius is 10 cm.

$\bf \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=10 \end{cases}\implies A=\pi 10^2\implies A=100\pi \\\\\\ \stackrel{\textit{half of that for a semicircle}}{A=\cfrac{100\pi }{2}}\implies A=50\pi \implies \stackrel{\pi =3.142}{A=157.1}$

8 0

3 years ago

Nancy is saving $2 from her allowance. Marco is saving $1 the fist week, $2 the second week, $3 the third week, and so on. At th

Sedaia [141]

He would have said $55

(PLEASE MARK BRAINLIEST)

7 0

4 years ago

Solve for 45 points and explain well

Delicious77 [7]

Answer:

Step-by-step explanation:

$\text{The intercept form of an equation of a line:}\\\\\dfrac{x}{a}+\dfrac{y}{b}=1\\\\a-x\ intercept\\b-y\ intercept\\\\\text{We have:}\\\\point\ (2,\ 4)\to x=2,\ y=4\\a=c\\b=c\\\\\text{Substitute:}\\\\\dfrac{2}{c}+\dfrac{4}{c}=1\\\\\dfrac{2+4}{c}=1\\\\\dfrac{6}{c}=1\qquad\text{multiply both sides by}\ c\neq0\\\\6=c\to c=6$

$\text{Put it to the equation in the intercept form:}\\\\\dfrac{x}{6}+\dfrac{y}{6}=1\\\\\dfrac{x+y}{6}=1\qquad\text{multiply both sides by 6}\\\\x+y=6\qquad\text{subtract}\ x\ \text{from both sides}\\\\y=-x+6$

5 0

3 years ago