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My name is Ann [436]
3 years ago
9

The following sequence is an arithmetic sequence what comes next ? 7,___,17

Mathematics
1 answer:
ipn [44]3 years ago
5 0

Since this is an arithmetic sequence, you can conclude that the addition to the number is constant.

Let x = the number asked

       k = constant number added to the sequence

7 + k = x

x + k = 17

Solve the system of equation:

7 + k + k = 17

7 + 2k = 17

2k = 10

k = 5

Therefore, the missing number is 12 (7 + 5).

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How do I find the slope of the line through (–9, –10) and (–2, –5)?
storchak [24]
Answer:
slope of line is 5/7

Explanation:
The slope of the line can be calculated using the following rule:
slope = \frac{y2-y1}{x2-x1}

The given points are:
(-9,-10) which represent (x1,y1)
(-2,-5) which represent (x2,y2)

Substitute with the points in the above equation to get the slope as follows:
slope = \frac{-5-(-10)}{-2-(-9)} = 5/7

Hope this helps :)

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2 years ago
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Kyle is pulled back on a swing so that the rope forms an angle of 30° with the vertical. The distance from the top of the swing
olga_2 [115]
This would be 12 - 12*cos(30) = 12 - 6\sqrt{3} =  1.608 ft off the ground. 
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3 years ago
Military radar and missile detection systems are designed to warn a country of enemy attacks. A reliability question deals with
Nadusha1986 [10]

Answer:

Step-by-step explanation:

Given that a particular detection system has a 0.83 probability of detecting a missile attack.

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b) the probability that at least one of the systems will detect the attack given two systems= 1-Prob no system detects

=1-(1-0.83)(1-0.83)\\\\=1-0.0289\\=0.9711

c)  If three systems are installed,  the probability that at least one of the systems  will detect the attack

= 1- none of the three systems detect attack

= (1-0.17^3)\\=1-0.004913\\=0.995087

d) We find that probability of detecting is more if we increase the system form 1 to 2 and 2 to 3.

Hence for safety and defence purpose multiple detection system is recommended.

7 0
3 years ago
In a bag of candy, there are 36 red candies and 27 green candies. What is the ratio of the number of green candies to the number
Vilka [71]
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3 0
3 years ago
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