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3 years ago

Jill is factoring the expression 13XY -52y. Her work is shown below

Mathematics

1 answer:

Sunny_sXe [5.5K]3 years ago

3 0

Answer:13y(x-4)

Step-by-step explanation:

13xy-52y =13y(x-4)

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2 years ago

two dice are rolled until a sum of either 5 or 7 occurs. estimate the probability that a 5 occurs first g

Ierofanga [76]

Answer:

The correct answer is " $\frac{2}{5}$ ". A further solution is provided below.

Step-by-step explanation:

According to the question,

The probability of getting a 5 will be:

= $\frac{4}{36}$

= $\frac{1}{9}$

The probability of getting a 7 will be:

= $\frac{6}{36}$

= $\frac{1}{6}$

The probability of not a 5 nor a 7 will be:

= $1-[\frac{4}{36} +\frac{4}{36} ]$

= $\frac{26}{36}$

= $\frac{13}{18}$

Now,

For roll of 2 dice,

⇒ $P=\frac{1}{9} +{\frac{1}{9}\times (\frac{13}{18} ) }+{(\frac{1}{9} )\times (\frac{13}{18} )^2}+{\frac{1}{9}\times (\frac{13}{18} )^3 }+...$

$=\frac{1}{9} [1+\frac{13}{18} +\frac{13^2}{18^2} +\frac{13^3}{18^3} +...]$

$=\frac{1}{9} [\frac{1}{1-\frac{13}{18} } ]$

$=\frac{1}{9} [{\frac{1}{\frac{5}{8} } ]$

$=\frac{2}{5}$

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2 years ago

Find the surface area of the cylinder.

timofeeve [1]

$\bf \textit{surface area of a cylinder}\\\\
SA=2\pi r(h+r)~~
\begin{cases}
r=3.5\\
h=12
\end{cases}\implies SA=2\pi (3.5)(12+3.5)
\\\\\\
SA=7\pi (15.5)\implies SA=108.5\pi$

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