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Black_prince [1.1K]
3 years ago
8

find an equation for the nth term of a geometric sequence where the second and fifth terms are -8 and 512

Mathematics
1 answer:
kaheart [24]3 years ago
7 0

Answer:

n_x = -4n_{x-1}\\

where n_1 = 2

Step-by-step explanation:

512/-8 = -64

difference of n = 3

\sqrt[3]{64} = 4

n_x = -4n_{x-1}\\

where n_1 = 2

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In an article regarding interracial dating and marriage recently appeared in a newspaper. Of 1719 randomly selected adults, 311
Bingel [31]

Answer:

Step-by-step explanation:

Hello!

The parameter of interest in this exercise is the population proportion of Asians that would welcome a person of other races in their family. Using the race of the welcomed one as categorizer we can define 3 variables:

X₁: Number of Asians that would welcome a white person into their families.

X₂: Number of Asians that would welcome a Latino person into their families.

X₃: Number of Asians that would welcome a black person into their families.

Now since we are working with the population that identifies as "Asians" the sample size will be: n= 251

Since the sample size is large enough (n≥30) you can apply the Central Limit Theorem and approximate the variable distribution to normal.

Z_{1-\alpha /2}= Z_{0.975}= 1.965

1. 95% CI for Asians that would welcome a white person.

If 79% would welcome a white person, then the expected value is:

E(X)= n*p= 251*0.79= 198.29

And the Standard deviation is:

V(X)= n*p*(1-p)= 251*0.79*0.21=41.6409

√V(X)= 6.45

You can construct the interval as:

E(X)±Z₁₋α/₂*√V(X)

198.29±1.965*6.45

[185.62;210.96]

With a 95% confidence level, you'd expect that the interval [185.62; 210.96] contains the number of Asian people that would welcome a White person in their family.

2. 95% CI for Asians that would welcome a Latino person.

If 71% would welcome a Latino person, then the expected value is:

E(X)= n*p= 251*0.71= 178.21

And the Standard deviation is:

V(X)= n*p*(1-p)= 251*0.71*0.29= 51.6809

√V(X)= 7.19

You can construct the interval as:

E(X)±Z₁₋α/₂*√V(X)

178.21±1.965*7.19

[164.08; 192.34]

With a 95% confidence level, you'd expect that the interval [164.08; 192.34] contains the number of Asian people that would welcome a Latino person in their family.

3. 95% CI for Asians that would welcome a Black person.

If 66% would welcome a Black person, then the expected value is:

E(X)= n*p= 251*0.66= 165.66

And the Standard deviation is:

V(X)= n*p*(1-p)= 251*0.66*0.34= 56.3244

√V(X)= 7.50

You can construct the interval as:

E(X)±Z₁₋α/₂*√V(X)

165.66±1.965*7.50

[150.92; 180.40]

With a 95% confidence level, you'd expect that the interval [150.92; 180.40] contains the number of Asian people that would welcome a Black person in their family.

I hope it helps!

5 0
3 years ago
Find the next two terms in this<br> sequence.<br> 1, -3, 9, -27, 81, [?],
fiasKO [112]

-243

Step-by-step explanation:

số dương nhân -3 thì đc số âm, số âm nhân với -3 để đc số dương.

vd: 1. -3 = -3 ;   -3 .-3= 9 ;..... 81 . -3= -243

7 0
2 years ago
Read 2 more answers
9.48 as a mixed number in simplist form
mafiozo [28]

Answer:

<h2>9 12/25.</h2>

Step-by-step explanation:

9.48 as a mixed number in simplest form:

<em><u>948/100</u></em>

<em><u>948/100= 948 ÷ 4/100 ÷ 4</u></em>

<em><u>948/100= 948 ÷ 4/100 ÷ 4= 237/25</u></em>

<em><u>948/100= 948 ÷ 4/100 ÷ 4= 237/25= 9 12/25</u></em>

<u>9 12/25 is the mixed number.</u>

8 0
3 years ago
Which expression is rational? A. 4.121221222… B. square root of 36 C. square root of 21 D. 1.192744502…
Sati [7]

Answer: 2

Step-by-step explanation:

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3 years ago
10 mL equal to c meters
Andreas93 [3]

This problem can be solved using dimensional analysis.


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