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Dmitrij [34]
3 years ago
10

Your friend comes from a large family. This list shows the ages of all of the children in her family. What is the median age of

the children? 12, 9, 15, 7, 9, 13, 16
Mathematics
2 answers:
Marat540 [252]3 years ago
8 0
The answer is 12. Median tends to find the middle. This has an odd number of numbers so it makes this easy. Put them in all numerical order and the middle is 12.
fomenos3 years ago
6 0

Answer:

12

Step-by-step explanation:

If you're on ttm

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Miles has saved $40. He wants to buy a cell phone for $129 in about 4 months. To find out how much he should save each week, he
Marianna [84]

Answer: No, the equation is not accurate.

Step-by-step explanation: The proper equation is 4x + 40 = 129. This is because 16 is nowhere in the scenario, and the term before x is months, so the correct term would be 4x.

5 0
2 years ago
Determine determine whether the following geometric series converges or diverges. if the series converges find its sum.
Lilit [14]

For starters,

\dfrac{3^k}{4^{k+2}}=\dfrac{3^k}{4^24^k}=\dfrac1{16}\left(\dfrac34\right)^k

Consider the nth partial sum, denoted by S_n:

S_n=\dfrac1{16}\left(\dfrac34\right)+\dfrac1{16}\left(\dfrac34\right)^2+\dfrac1{16}\left(\dfrac34\right)^3+\cdots+\dfrac1{16}\left(\dfrac34\right)^n

Multiply both sides by \frac34:

\dfrac34S_n=\dfrac1{16}\left(\dfrac34\right)^2+\dfrac1{16}\left(\dfrac34\right)^3+\dfrac1{16}\left(\dfrac34\right)^4+\cdots+\dfrac1{16}\left(\dfrac34\right)^{n+1}

Subtract S_n from this:

\dfrac34S_n-S_n=\dfrac1{16}\left(\dfrac34\right)^{n+1}-\dfrac1{16}\left(\dfrac34\right)

Solve for S_n:

-\dfrac14S_n=\dfrac3{64}\left(\left(\dfrac34\right)^n-1\right)

S_n=\dfrac3{16}\left(1-\left(\dfrac34\right)^n\right)

Now as n\to\infty, the exponential term will converge to 0, since r^n\to0 if 0. This leaves us with

\displaystyle\lim_{n\to\infty}S_n=\lim_{n\to\infty}\sum_{k=1}^n\frac{3^k}{4^{k+2}}=\sum_{k=1}^\infty\frac{3^k}{4^{k+2}}=\frac3{16}

8 0
3 years ago
Read 2 more answers
Please help me in solving this 4Log216 = 12x​
bezimeni [28]

Answer:

log(6) = x

Step-by-step explanation:

4log(216)=12x

Divide both sides by 12

log(216)/3 = x

Use properties of logs

log(216^(1/3)) = x

Simplify

log(6) = x

6 0
2 years ago
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What’s The values of 30%of81
krek1111 [17]

\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{30\% of 81}}{\left(\cfrac{30}{100} \right)81}\implies 24.3

7 0
2 years ago
Can you find the difference, and put it in standard form?
Virty [35]

Answer:

-5x^2 + 8 - 4x

Step-by-step explanation:

emove parentheses.

-2{x}^{2}+3-3{x}^{2}-4x+5

−2x  

2

+3−3x  

2

−4x+5

2 Collect like terms.

(-2{x}^{2}-3{x}^{2})+(3+5)-4x

(−2x  

2

−3x  

2

)+(3+5)−4x

3 Simplify.

-5{x}^{2}+8-4x

−5x  

2

+8−4x

4 0
2 years ago
Read 2 more answers
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