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kherson [118]
3 years ago
12

If the third term in a geometric sequence is 20, and the fifth term in the sequence is 5, what is the ratio (multiplier)?

Mathematics
1 answer:
Talja [164]3 years ago
5 0
Term:    3     4      5
 Value  20    ..      5
            20  20r  20r^2
So 20r^2 = 5
         r^2 = 1/4
           r  =  1/2
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On a map, 9 cm represents 15 miles. If the distance between two cities on the map is 15 cm, how many miles separate the cities?
torisob [31]

Answer:

15 cm on the map is equal to 25 miles.

Step-by-step explanation:

Given that,

On a map, 9 cm represents 15 miles.

The distance between two cities is 15 cm. We need to find the distance in miles.

9 cm = 15 miles

1\ cm=\dfrac{15}{9}\ \miles

So, 15 cm is equal to,

15\ cm=\dfrac{15}{9}\times 15\ miles\\\\=25\ miles

So, 15 cm on the map is equal to 25 miles.

4 0
3 years ago
Triangle DAN is graphed on the set of axes below.
riadik2000 [5.3K]

Answer:60

Step-by-step explanation:

3 0
2 years ago
Enter an equation of the form y= mx for the line that passes through the
hammer [34]

Answer:

y = 13x

Step-by-step explanation:

gradient = 13

x = 0

y = 0

\frac{Δy}{Δx}

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5 0
2 years ago
Which of the following is(are) true? I. The mean of a population depends on the particular sample chosen. II. The standard devia
Margarita [4]

Answer:

II and III

Step-by-step explanation:

From statement II in the question, it is true that the standard deviations of two different samples from the same population may be the same. The population standard deviation is a fixed value calculated from every individual in the population.  A sample standard deviation is calculated from only some of the individuals in a population.

Also from statement III, it is true that statistical inferences can be used to draw conclusions about the populations based on sample data. The mean of a population does not necessarily depends on the particular sample chosen. Therefore statement I is false.  

3 0
2 years ago
On average, Jaimie can bike five times as fast as he can run. To travel 25 km, he needs 2 h more if he is running than if he is
monitta

Answer: Running speed is 10k/h

Biking speed is 50k/h

Step-by-step explanation:

My procedure may be unconventional, but it works:

Compute the time it takes, then translate to speed. 25k at biking speed takes 2 hours less than at running speed which is 1/5 bike speed.

Distance/speed = time  25/x=25/(5x-2)  cross multiply divisors

25(5x-2) = 25x  ==> 125x -50 =25x ==>  100x = 50  

x = 0.5 hours at biking speed   25k/0.5h = 50k/h  

Running speed = 50/5  10k/h

Proof: 25k/ 10k/h = 2.5 hours

25k /50k/h = 0.5 hours  

2.5 h - .5 h = 2 hours, the difference stated in the question.

6 0
2 years ago
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