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Harman [31]
3 years ago
8

Find the sum of the first 30 terms for the given arithmetic sequence.

Mathematics
1 answer:
SOVA2 [1]3 years ago
6 0

Answer:

Step-by-step explanation:

Find the last term of the sequence.

a1 = 8

d = -7

n = 30

a30 = 8 + (n - 1)*(-7)

a30 = 8 + (30 - 1)*-7

a30 = 8 + 29*-7

a30 = 8 - 203

a30 = -195

Sum = (a + L)*n/2

Sum = (8 + -195) * 30/2

Sum = - 187  * 15

Sum = - 2805

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KonstantinChe [14]

Answer:

b:9 units

Step-by-step explanation:

5 0
4 years ago
The slope of the line below is 2. Use the coordinates of the labeled point to find the point-slope equation of the line. 
Art [367]

Answer:

Option D is correct

The point slope intercept equation of line = y-9=2(x-1)

Step-by-step explanation:

Given: The slope of line (m) = 2 and also it is given from the figure the

Point-slope intercept form: If we have a point (x_1, y_1)  and a slope, m, then the formula

we  use to find the equation of a line:

y-y_1=m(x-x_1)  .......[1]

Substitute the value of m =2 and (1, 9)  in [1];

y-9=2(x-1)

Therefore, the point slope intercept equation of the line is: y-9=2(x-1)

7 0
4 years ago
Read 2 more answers
An archer hits a bull’s-eye with a probability of 0.09, and the results of different attempts can be taken to be independent of
valkas [14]

Answer: Variance = 0.858

Step-by-step explanation: The variance formulae for a probability distribution is given below as

Variance = √npq

Where n = number of times experiment was performed = 9

p = probability of success = 0.09

q = probability of failure = 1 - p = 1 - 0.09 =0.91

Variance = √9×0.09×0.91

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Variance = 0.858

3 0
4 years ago
In Nebraska, Mr. Dukarelli's 11th grade class consisting of 27 students was surveyed and 34.6 percent of the students reported t
postnew [5]

95141 1404 393

Answer:

  b.  28,300

Step-by-step explanation:

The estimated number of 11th grade students in the state is ...

  (1600 classes)(27 students/class) = 43,200

About 34.6% are estimated to have 2 or more siblings, so the remaining 100%-34.6% = 65.4% are estimated to have fewer than 2 siblings.

Translated to a number of students, that percentage is ...

  0.654 × 43,200 = 28,252.8 ≈ 28,300

A good estimate of the number of students with fewer than 2 siblings is 28,300.

8 0
3 years ago
Help pleaseeeeee am kinda stuck ​
aleksley [76]

Answer:

{ \tt{- \frac{3}{6} \:  \:  \:  \frac{9}{15}   \:  \:  \frac{10}{25}  \:  \:  \frac{24}{30} \:  \: 7 }} \\

7 0
2 years ago
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