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Ymorist [56]
2 years ago
9

What is the ninth term of the geometric sequence 81, 27, 9, 3, ... ?

Mathematics
2 answers:
Dominik [7]2 years ago
8 0

Answer:

59049

Step-by-step explanation:

I calculated it and got 59049

lbvjy [14]2 years ago
5 0
I may be wrong but 1/9? i don’t think there’s anything else you can do with the sequence .. if i’m incorrect , i’m sorry
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an hourglass is turned over with the top part filled with sand. after 3 minutes, there are 855 ml of sand in the top half. after
Hitman42 [59]

An hourglass is turned over with the top part filled with sand. after 3 minutes, there are 855 ml of sand in the top half. after 10 minutes, there are 750 ml of sand in the top half. This can be represents a two points ( 3, 855) and (10, 750) . using this to solve the slope m = (750-855)/(10-3) = -15. And using one point the equation is y = -15x + 900.

5 0
2 years ago
Read 2 more answers
In Quebec, 90 percent of the population subscribes to the Roman Catholic religion. In a random sample of eight Quebecois, find t
AysviL [449]

Answer:

Probability that the sample contains at least five Roman Catholics = 0.995 .

Step-by-step explanation:

We are given that In Quebec, 90 percent of the population subscribes to the Roman Catholic religion.

The Binomial distribution probability is given by;

 P(X = r) = \binom{n}{r}p^{r}(1-p)^{n-r} for x = 0,1,2,3,.......

Here, n = number of trials which is 8 in our case

         r = no. of success which is at least 5 in our case

         p = probability of success which is probability of Roman Catholic of

                 0.90 in our case

So, P(X >= 5) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8)

= \binom{8}{5}0.9^{5}(1-0.9)^{8-5} + \binom{8}{6}0.9^{6}(1-0.9)^{8-6} + \binom{8}{7}0.9^{7}(1-0.9)^{8-7} + \binom{8}{8}0.9^{8}(1-0.9)^{8-8}

= 56 * 0.9^{5} * (0.1)^{3} + 28 * 0.9^{6} * (0.1)^{2} + 8 * 0.9^{7} * (0.1)^{1} + 1 * 0.9^{8}

= 0.995

Therefore, probability that the sample contains at least five Roman Catholics is 0.995.

3 0
3 years ago
Sarah earns $10 per hour while babysitting and $20 per hour while cleaning houses. Sarah will need to earn $1000 during the summ
kozerog [31]
Why not just work for 50 hrs on house cleaning and get 1000$
4 0
3 years ago
Using the points [164,166]and[173,174] find the slope
Lana71 [14]

Answer:

8/9

Step-by-step explanation:

The equation to find a slope is y2-y1/x2-x1=m. (m is the slope)

174-166/173-164

8/9

So the slope is 8/9.

8 0
2 years ago
△ABC∼△DEF , △ABC has a height of 14 centimeters, and △DEF has a height of 6 centimeters. What is the ratio of the area of △ABC t
Kamila [148]
Since triangle ABC is similar to triangle DEF then the ratio of the corresponding sides is constant.
The ratio of the corresponding lengths is referred to as the linear scale factor.
Considering the heights of the two triangles;
L.S.F = 14/6
          = 7/3
The ratio in area (A.S.F) is given by (L.S.F)²
Therefore, A.S.F = (7/3)² = 49/9
Thus te ratio of the area of triangle ABC to DEF is 49:9
8 0
3 years ago
Read 2 more answers
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