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Marina86 [1]
2 years ago
12

What is the sum of the arithmetic series: s10 = -20, d = 4, a1 =? ​

Mathematics
2 answers:
Otrada [13]2 years ago
8 0
<h2>Step-by-step explanation:</h2><h3>\green\star Given</h3>

\blue\stars10 = -20

\blue\starn = 10

\blue\star an = -20

\green\star solution

\green\stars10 = n\2 [a+(n-1)d]

\green\star-20 = 10a2[a+(10-1)4]

\green\star-4 = a +36

\green\stara1 = -40

\small\boxed{a = -40}

Hope it helps.

Hope it helps

KengaRu [80]2 years ago
4 0

Answer:

first term a1 is -40.

Step-by-step explanation:

in an arithmetic series,

sum of first term terms (S10) = -20

Common difference (d) = 4

first term (a)= ?

number of terms (n)= 10

now,

S10 =( n÷2) [a1 +(n-1) d]

or, -20 = (10÷2) [a1 + (10-1) 4]

or, -20 = 5 ( a1 + 36)

or, -4 = a1 + 36

or, a1 = -40

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nordsb [41]
The volume of the display is 900 cubic inches.  

The formula for the volume of a prism is L x W x H. 

In the small shape, we have:  5 x 5 x 12 = 300
In the large shape, we have:  5 x 5 x 24 = 600

Add them together and we have 900 cubic inches.
8 0
1 year ago
Problem 5 (4+4+4=12) We roll two fair 6-sided dice. Each one of the 36 possible outcomes is assumed to be equally likely. 1) Fin
tekilochka [14]

Answer:

1

p(b) =  \frac{1}{6}

2

p(k) =  \frac{1}{3}

3

P(a) =  \frac{1}{3}

Step-by-step explanation:

Generally when two fair 6-sided dice is rolled the doubles are

(1 1) , ( 2 2) , (3 3) , (4 4) , ( 5 5 ), (6 6)

The total outcome of doubles is N = 6

The total outcome of the rolling the two fair 6-sided dice is

n = 36

Generally the probability that doubles (i.e., having an equal number on the two dice) were rolled is mathematically evaluated as

p(b) =  \frac{N}{n}

p(b) =  \frac{6}{36}

p(b) =  \frac{1}{6}

Generally when two fair 6-sided dice is rolled the outcome whose sum is 4 or less is

(1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (3, 1)

Looking at this outcome we see that there are two doubles present

So

The conditional probability that doubles were rolled is mathematically represented as

p(k) =  \frac{2}{6}

p(k) =  \frac{1}{3}

Generally when two fair 6-sided dice is rolled the number of outcomes that would land on different numbers is L = 30

And the number of outcomes that at least one die is a 1 is W = 10

So

The conditional probability that at least one die is a 1 is mathematically represented as

P(a) =  \frac{W}{L}

=> P(a) =  \frac{10}{30}

=> P(a) =  \frac{1}{3}

3 0
2 years ago
Sue scored a total of 35 points in two games.she scored 6 times as many points in the second game than in the first.how many mor
kirill115 [55]
Okay,
Both games are: 35
First game: ?
Second game: 6 more than the first.
So,
first we subtract 6 from 35.
35 - 6 = 29
Divide by 2.
49 divided by 2 = 14.5
Add the 6 point= 14.5 + 6 = 20.5
To make sure add.
First game: 14.5
Second game:20.5
14.5 + 20.5 = 35
3 0
2 years ago
man drove his car a distance of 315 miles in 5 hours. If continuing at this rate is possible, he will travel ____ miles in 9 hou
Yanka [14]

Answer:

567

Step-by-step explanation:

Please mark brainliest

4 0
2 years ago
a car travels 30 1/2 miles in 2/3 of an hour. what is the average speed, in miles per hour, of the car ?
Contact [7]

Answer:

speed=225.75 miles per hour

Step-by-step explanation:

given:

s=301/2

t=2/3

we have,

v=s/t

v=(301/2)/(2/3)

=(301/2)×3/2

=903/4

v=225.75

therefore, speed of car will be 225.75 miles per hour

6 0
1 year ago
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