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3 years ago

If the two terms of a gemotric sequence are a1=216, and a2=72, which is the third term? a3?

1 answer:

4 0

$GEOMETRIC \: \: PROGRESSIONS \\ \\ \\\\Let \: the \: G.P. \: be \: \: A \: , \: Ar \: , \: A {r}^{2} \: ... \\ \\ Where \:first \: term \: is \: \: A \: \: \\ and \: common \: ratio \: is \: \: R \\ \\ Let \: An \: denotes \: the \: \: nth \: term \: of \: \\ the \: given \: Geometric \: Progression \: \\ \\ It \: is \: given \: - \\ \\ A1 \: = \: 72 \\ \\ A2 \: = \: 216 \\ \\ Common \: ratio \: = \: \frac{A2}{A1} = \frac{216}{72} \\ \\ R = 3 \\ \\ A \: = \: 72 \\ \\ A3 \: = \: A {r}^{2} = 72 \times 3 \times 3 \\ \\ \\ Hence \: , \: A3 \: = \: 648 \: \: \: \: \: \: \: Ans.$

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Write $3.9 out of $60 as percentage

Norma-Jean [14]

Answer:

Step-by-step explanation:

$\frac{3.9}{60}*100=\frac{13}{2}$

= 6.5%

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2 years ago

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Step-by-step explanation:

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3 years ago

Paul is decorating cupcakes. He can decorate 3/4 of a cupcake per minute. At this rate, how many cupcakes can he decorate in 12

Ivenika [448]

Answer:

3/4 x 12/1 because if you can decorate 3/4 a cupcake per minute, you multiply 3/4 by 12 to find the total amount of cupcakes he could decorate. 3/4 x 12/1 = 9 Paul can decorate 9 cupcakes in 12 minutes.

Step-by-step explanation:

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2 years ago

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There is a bag filled with 5 blue and 6 red marbles.

Afina-wow [57]

Answer:

The probability of getting two of the same color is 61/121 or about 50.41%.

Step-by-step explanation:

The bag is filled with five blue marbles and six red marbles.

And we want to find the probability of getting two of the same color.

If we're getting two of the same color, this means that we are either getting Red - Red or Blue - Blue.

In other words, we can find the independent probability of each case and add the probabilities together*.

The probability of getting a red marble first is:

$\displaystyle P\left(\text{Red}\right)=\frac{6}{11}$

Since the marble is replaced, the probability of getting another red is: $\displaystyle P\left(\text{Red, Red}\right)=\frac{6}{11}\cdot \frac{6}{11}=\frac{36}{121}$

The probability of getting a blue marble first is:

$\displaystyle P\left(\text{Blue}\right)=\frac{5}{11}$

And the probability of getting another blue is:

$\displaystyle P\left(\text{Blue, Blue}\right)=\frac{5}{11}\cdot \frac{5}{11}=\frac{25}{121}$

So, the probability of getting two of the same color is:

$\displaystyle P(\text{Same})=\frac{36}{121}+\frac{25}{121}=\frac{61}{121}\approx50.41\%$

*Note:

We can only add the probabilities together because the event is mutually exclusive. That is, a red marble is a red marble and a blue marble is a blue marble: a marble cannot be both red and blue simultaneously.

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2 years ago

Which of the following angles can be added together to create 132°? Explain your answer using words.

seropon [69]

Answer:

52,25,30,35 is the answer

Step-by-step explanation:

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3 years ago

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