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3 years ago

If one tosses a coin three times, write dow nthe possible observed number of heads and their probabilities

1 answer:

6 0

You need to find the probability of Heads, Heads, Heads in 3 tosses;

P(HHH)= (1/2)(1/2)(1/2) <-- each toss has 2 possibilities and heads is one
P(HHH)=1/8

Therefore, the probability of flipping 3 heads on a fair coin is 1/8

Hope I helped :)

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11000 is compounded semiannually at a rate of 12% for 21 years. Find the total amount in the compound interest account

marishachu [46]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\dotfill &\$11000\\
r=rate\to 12\%\to \frac{12}{100}\dotfill &0.12\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{semiannually, thus twice}
\end{array}\dotfill &2\\
t=years\dotfill &21
\end{cases}$

$\bf A=11000\left(1+\frac{0.12}{2}\right)^{2\cdot 21}\implies A=11000(1.06)^{42}\implies A\approx 127127.359416$

5 0

4 years ago

Helpppppppppp plssssss

cluponka [151]

Pretty sure the answer is 6

8 0

3 years ago

Azul spun a tri-color spinner twice. What is the probability that the spinner landed on the colors blue and green in any order?

guapka [62]

Answer:

The Probability that the spinner landed on the colors blue and green in any order = 2/9

Step-by-step explanation:

Given - Azul spun a tri-color spinner twice.

To find - What is the probability that the spinner landed on the colors blue and green in any order?

Solution -

Given that,

A tri-color spinner spun twice

So,

The Sample Space, S = {BB, BG, BY, GB, GG, GY, YB, YG, YY}

⇒n(S) = 9

Now,

Let A be an event that the spinner landed on the colors blue and green

So,

A = {BG, GB}

⇒n(A) = 2

Now,

Probability that the spinner landed on the colors blue and green in any order = n(A) ÷ n(S)

= 2 ÷ 9

∴ we get

The Probability that the spinner landed on the colors blue and green in any order = 2/9

8 0

3 years ago

What is the sum of all integers between 123 and 2021 which end in 7? Please walk me through it w/ work.

Savatey [412]

Answer:

it will be 35720 . I hope my answer is correct

6 0

3 years ago

Helpppp plsss......!!!!!!!!

ioda

Answer:

Step-by-step explanation:

Mower A: 3.25 / 0.3 = 10.83

Mower B: 3.75 / 0.15 = 25

Mower C: 4.25 / 0.24 = 17.71

Mower D: 5.50 / 0.18 = 30.50

Answer: D :)

8 0

3 years ago