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2 years ago

What is an explicit formula for the geometric sequence 64,16,4,1,... where the first term

Mathematics

1 answer:

olya-2409 [2.1K]2 years ago

7 0

Answer:

Step-by-step explanation:

The explicit formula for a geometric sequence is

f(n) = f(1) $(r)^{n-1}$

where f(1) is the first term and r the common ratio

Here f(1) = 64 and r = $\frac{f(2)}{f(1)}$ = $\frac{16}{64}$ = $\frac{1}{4}$ , then

f(n) = 64 $(\frac{1}{4}) ^{n-1}$ → A

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In a random sample of 30 people who rode a roller coaster one day, the mean wait time is 46.7 minutes with a standard deviation

Rainbow [258]

Answer: C. $(29,\ 37.8)$

Step-by-step explanation:

The confidence interval for difference of two population mean is given by :-

$\overline{x}_1-\overline{x}_2\pm z_{\alpha/2}\sqrt{\dfrac{s_1^2}{n_1}+\dfrac{s_2^2}{n_2}}$

Given : Level of significance : $1-\alpha:0.99$

Then , significance level : $\alpha: 1-0.99=0.01$

Critical value : $z_{\alpha/2}=z_{0.005}=2.576$

$n_1=30\ ;\ n_2=50\\\\\overline{x}_1=46.7\ ;\ \overline{x}_2=13.3\\\\s_1=9.2\ ;\ s_2=1.9$

$46.7-13.3\pm(2.576)\sqrt{\dfrac{9.2^2}{30}+\dfrac{1.9^2}{50}}\approx33.4\pm4.38=(29.02\ ,37.78)\approx(29,\ 37.8)$

Hence, a 99% confidence interval for the difference between the mean wait times of everyone who rode both rides $(29,\ 37.8)$

5 0

3 years ago

Need help on this question asap please

Natalka [10]

Answer:

a= 168

p= 62

Step-by-step explanation:

25 24 and 7 are pythagorean triples. meaning the short side length is 7.

24*7 = 168

48+14=62

5 0

2 years ago

Consider the function f (x) = x2.

klio [65]

Answer: The graph is shifted 2 units to the right.

Step-by-step explanation:

Given a function f(x), we know that one transformation rule is:

If $f(x-k)$ then the function is shifted "k" units to the right.

Therefore, for the function $f(x)=x^{2}$ , when we subtract 2 from the input, then we get the function g(x) in the form:

$g(x)=(x-2)^{2}$

We can conclude that subtracting 2 from the input of the function $f(x)=x^{2}$ , then the graph is shifted 2 units to the right.

5 0

3 years ago

Read 2 more answers

Need help with this

photoshop1234 [79]

Answer:

9.6x10^3

Step-by-step explanation:

9,600

find the highest number

9,600

bring the decimal to that number

9.600

count how many spaces it took to get to that number

9.600

^ ^ ^

so its 10 to the third power

7 0

3 years ago

1) 17, 29, 32, 9, 30, 14, 8, 39, 11, 32, 23 Minimum : Maximum: Q1: Q2: Q3:

Lisa [10]

Answer:

Minimum: 8

Maximum: 39

Q1: 11

Q2: 23

Q3: 32

Step-by-step explanation:

Set the numbers into numerical order

8 9 11 14 17 23 29 30 32 32 39

Then separate into quarters

[8 9 11] [14 17 23] [29 30 32] 32 39

6 0

2 years ago