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3 years ago

Find the 9th term of the geometric sequence 6,24,96,...

Mathematics

1 answer:

Agata [3.3K]3 years ago

4 0

Answer:

Explanation:

<em>To find how much the pattern in increasing by, divide the first number by the second</em>

24 ÷ 6 = 4

<em>Multiply 4 (Since that is what the first number divided by the second number in the sequence equals) by the 2nd number in the sequence to see if it equals the third number in the sequence</em>

24 · 4 = 96

<em>Now that we know what the number the pattern is increasing by, continue to multiply the next number in the sequence by 4 until we reach the 9th term</em>

[1] 6

· 4

[2] 24

· 4

[3] 96

· 4

[4] 384

· 4

[5] 1536

· 4

[6] 6144

· 4

[7] 24576

· 4

[8] 98304

· 4

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3 years ago

A random sample of 700 home owners in a particular city found 112 home owners who had a swimming pool in their backyard. Find a

vekshin1

Answer: $(13.28\%,\ 18.72\%)$

Step-by-step explanation:

Given : A random sample of 700 home owners in a particular city found 112 home owners who had a swimming pool in their backyard.

i.e. n= 700 and x= 112

Sample proportion : $\hat{p}=\dfrac{x}{n}=\dfrac{112}{700}=0.16$

z-value for 95% confidence interval : $z_c=1.960$

Now, the 95% confidence interval for the true percent of home owners in this city who have a swimming pool in their backyard will be :-

$\hat{p}\pm z_c\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

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Answer:

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