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iragen [17]
3 years ago
6

Write a rule for the nth term of the sequence 15, 19, 23, 27

Mathematics
1 answer:
Mkey [24]3 years ago
5 0

Answer:

aₙ= 4n+11

Step-by-step explanation:

the sequence 15, 19, 23, 27

is AP with the first term 15 and

the common difference 19-15=23-19=27-23= 4

aₙ= a₁+(n-1)d

aₙ= 15+(n-1)*4= 15+4n- 4= 4n+11

aₙ= 4n+11

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9 in. 14 in. Find the area of the triangle shown above. [?] square inches​
mamaluj [8]

Answer:

63

Step-by-step explanation:

9 x 14 = 126/2 = 63

7 0
3 years ago
A sample of 100 wood and 100 graphite tennis rackets are taken from the warehouse. if 13 wood and 10 graphite are defective and
Nimfa-mama [501]

Let's split the problem in non-intersecting subsets: we have 87 good wood racquets, 13 defective wood rackets, 90 good graphite racquets, 10 defective graphite rackets.


The probability that the racket is wood or defective covers the following subsets: good wood, defective wood and defective graphite, which have, respectively, 87, 13 and 10 elements.


Since the total is 200 elements, the probability is


\frac{87+13+10}{200} = \frac{110}{200} = 0.55

8 0
3 years ago
The table below shows the heights of 6 pairs of brothers and sisters, ​labeled A through F .
scoray [572]

Answer:

The difference is <em>2 inches</em>

Step-by-step explanation:

Firstly, we identify the equation as given in the question;

y = 1.42105x - 32.2632

We need to know which of the two is the dependent variable i.e y-value and which is the independent variable x-value between the brothers' heights and the sisters' heights. To do this, we have to start with an assumption and check which of the two is for the brothers' or for the sisters,

Let's say the brothers' heights is x, we select any of the data points; (68,64)

we input this into the line of best fit equation; 64 =1.42105(68) - 32.2632 = 96.6314-32.2632=  64.3682

We can see the value on the left hand side of the equation correlates with that on the right hand side. This confirms our assumption that the brothers' heights refer to the independent variable x.

Now, let's plug the values for the 71 inches heights

y = 1.42105(71) - 32.2632 = 68.63 approximately 64

In the table, we can see that the predict sister height at that particular data point is 71 inches. The difference between the predicted height and the actual height is thus 71-69 = 2 inches  

4 0
3 years ago
PLSSSS HELPPPP ASAPPP
Feliz [49]

Answer:

3x+18+93=180

3x+111-111 =180-111

3x. =69

X=23

7 0
3 years ago
The man paid $21 for a book bag that was taxed 20%. What was the original price of the bag?
Vlad1618 [11]

Answer:

15

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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