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tester [92]
3 years ago
7

A lock consists of 3 dials, where each dial has 4 letters. What is the probability of guessing the right combination in one try?

Mathematics
2 answers:
Alex17521 [72]3 years ago
6 0
1/12 because 3*4=12 and it has 4 letters
IgorC [24]3 years ago
4 0

Answer:

D.1/64

B.1 in 12

A.64%

Step-by-step explanation:

Each dial has 4 letters and only one of them is correct; the probability to choose the correct one is then 1/4. Selecting a letter in each dial is independent, then the probability of guessing the right combination in one try is 1/4 * 1/4 * 1/4 = 1/64

8% means a probability of 8/100 or an odds of 8 in 100. Dividing each term by 8 we get 8/8 = 1 in 100/8 = 12.5, which can be rounded to 1 in 12

80% means a probability of 80/100 = 0.8. Given that the 2 free-throws are independent, the probability that he makes both is 0.8*0.8 = 0.64 or 64%

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Felipe Rivera's savings account has a balance of 2163 After 3 years what will the amount of interest be at 4%
Allisa [31]

\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 &\$2163\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &3 \end{cases} \\\\\\ A=2163\left(1+\frac{0.04}{4}\right)^{4\cdot 3}\implies A=2163(1.01)^{12}\implies A\approx 2437.322540175

3 0
3 years ago
A circle has a diameter of 14 feet. What is the circumference of the circle? Use 3:14 for pie.
Marianna [84]

Answer:

Circumference= 43.96 feet

Step-by-step explanation:

Diameter of the circle= 14 feet

Radius of the circle= 14/2= 7 feet

Circumference of the circle= 2\pi r

As, \pi =\frac{22}{7}=3.14

Circumference:

                          =2*3.14*7\\\\=3.14*14\\\\=43.96feet

The circumference of the circle with the radius= 7 feet is 43.96 feet

6 0
3 years ago
Solve the proportion for x
S_A_V [24]

Answer:

8

Step-by-step explanation:

45 divided by 5 is 9 and what you do on the to you do on the bottom which means you would do 40 divided by 5 which you would get 8 as your answer.

7 0
3 years ago
Semeet uses 0.4 gallon of gasoline each hour moving lawns. how much gas does she use in 4.2 hours
laiz [17]

Answer:

I think the answer is 1 gallon of gas

Step-by-step explanation:

8 0
2 years ago
What is 2 1/8 take away 1/2​
goblinko [34]

The equation is 2\frac{1}{8} - \frac{1}{2} .

1/2 is equivalent to 4/8, and 2 1/8 is equal to 17/8. (two full sets of 8 + 1 = 8 + 8 + 1, or 17)

The new equation is \frac{17}{8} -\frac{4}{8} . Subtract the numerators.

17 - 4 = 13 or 13/8

The improper fraction \frac{13}{8} simplifies to 1\frac{5}{8} .

<h2>Answer:</h2>

1\frac{5}{8}

Hope this helps :)

5 0
3 years ago
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