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3 years ago

If a standard die is rolled twice, what is the probability that it lands on a

Mathematics

1 answer:

Taya2010 [7]3 years ago

8 0

Answer:

1/9 or 11.11%

Step-by-step explanation:

On a standard die, there are two numbers greater than 4, 5 and 6. 5 and 6 make up 2/6 of a die, or 1/3. So the probability of getting 5 or 6 once is 1/3 then to find the probability of doing it twice in a row, multiply 1/3 by 1/3( its the same number because there is no innate difference in the rolls). 1/3*1/3=1/9.

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4-1/x divided by 16-1/xsquared

Vladimir [108]

4 - 1/x (16)-1/x 2
4x-18/x

3 0

3 years ago

The fifth grade teachers took their classes on a field trip to museum first group had 25 students and two teachers and cost $97.

iren [92.7K]

Answer:

Step-by-step explanation:

S=student cost; T=teacher cost

32S+3T=$127 . Multiply this by 2.

64S+6T=$254 Subtract this below

25S+2T=$97.50 . Multiply this by 3.

75S+6T=$292.50

64S+6T=$254 . Subtract this (from above.)

11S=$38.50

S=$3.50

ANSWER 1: Student tickets cost $3.50.

32S+3T=$127

32($3.50)+3T=$127

$112+3T=$127

3T=$15

T=$5.00

ANSWER 2: Teacher tickets cost $5.00.

CHECK:

25S+2T=$97.50

25($3.50)+2($5.00)=$97.50

$87.50+$10.00=$97.50

$97.50=$97.50

4 0

3 years ago

If an investment of $3000 grows to $4432.37 in eight years with interest compounded annually , what is the interest rate?

melamori03 [73]

$\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\to &\$4432.37\\
P=\textit{original amount deposited}\to &\$3000\\
r=rate\to r\%\to \frac{r}{100}\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
t=years\to &8
\end{cases}$

$\bf 4432.37=3000\left(1+\frac{r}{1}\right)^{1\cdot 8}\implies \cfrac{4432.37}{3000}=(1+r)^8
\\\\\\
\sqrt[8]{\cfrac{4432.37}{3000}}=1+r\implies \sqrt[8]{\cfrac{4432.37}{3000}}-1=r
\\\\\\
0.0500001086\approx r\qquad\qquad\cfrac{r\%}{100}\approx 0.0500001086
\\\\\\
r\%\approx 100\cdot 0.0500001086\implies r=\stackrel{\%}{5}$

6 0

3 years ago

What is the radius of circle with the equation (x - 2)^2 + (y - 1)^2 = 9 *<br> 18<br> 9<br> 81<br> 3

Free_Kalibri [48]

Answer:

Step-by-step explanation:

5 0

3 years ago

While testing a new vaccine, a lab technician noticed that the number of bacteria reduced by half every minute. How long does it

son4ous [18]

To start, find your equation, n=3000(.5)^t, n being your number of bacteria and t being your time. Now plug in 375 for n and solve for t, 375=3000(.5)^t, .125=.5^t, $t=log_{.5} .125=3$ . This means your answer is 3 minutes. To check it, plug it into your equation. n=3000(.5)^t=3000(.125)=375

5 0

3 years ago