there ar 2.54 centimeters in 1 inch. how many cantimeter are in 1 foot? in 1 yard explain you reasoning

The probability that an electronic device produced by a company does not function properly is equal to 0.1. If 10 devices are bo

coldgirl [10]

Answer:

Correct option: A. P=0.057

Step-by-step explanation:

<u>Binomial Distribution</u>

The binomial distribution fits the case of n independent events each one with a probability of success equal to p where k successes have been achieved.

The PMF (Probability Mass Function) of the binomial distribution is

$\displaystyle P(k,n,p)=\binom{n}{k}p^kq^{n-k}$

Where $q = 1-p$

The individual probability that an electronic device does not function properly is p=0.1. We know n=10 devices have been bought and we want to compute the probability that 7 devices function properly. Please notice that this is not the value of k since p is the probability of failure. The correct value of k=10-7=3. The required probability is

$\displaystyle P(3,10,0.1)=\binom{10}{3}0.1^30.9^{10-3}$

$\boxed{P=0.057}$

8 0

3 years ago

Brian invests ?1900 into a savings account. The bank gives 3.5% compound interest for the first 2 years and 4.9% thereafter. How

Scorpion4ik [409]

let's check how much is it after 2 years firstly.

$\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &1900\\ r=rate\to 3.5\%\to \frac{3.5}{100}\dotfill &0.035\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{yearly, thus once} \end{array}\dotfill &1\\ t=years\dotfill &2 \end{cases} \\\\\\ A=1900\left(1+\frac{0.035}{1}\right)^{1\cdot 2}\implies A=1900(1.035)^2\implies A=2035.3275$

Brian invested the money for 6 years, so now let's check how much is that for the remaining 4 years.

$\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &2035.3275\\ r=rate\to 4.9\%\to \frac{4.9}{100}\dotfill &0.049\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{yearly, thus once} \end{array}\dotfill &1\\ t=years\dotfill &4 \end{cases}$

$\bf A=2035.3275\left(1+\frac{0.049}{1}\right)^{1\cdot 4}\implies A=2035.3275(1.049)^4 \\\\\\ A\approx 2464.54\implies \boxed{\stackrel{\textit{rounded up }}{A=2465}}$

4 0

3 years ago

Please help and graph it I need this done in 2 minut s pleasee

My name is Ann [436]

Go to a website called desmos it’s a graphing calculator and you just type what you want graphed and it shows it

3 0

3 years ago

4. Three college friends rent an apartment. They are required to pay two months’ rent plus a $600 security deposit when they sig

Anni [7]

Answer:

3500$

Step-by-step explanation:

3800÷2-600=1300$

3 0

3 years ago

EXPERT HELP I'LL GIVE BRAINLIEST: C or D

denis23 [38]

Answer:

Step-by-step explanation:

A=(3.14d^2)/4

A=0.785d^2

A=0.785(10^2)

A=78.5 yd^2

6 0

3 years ago