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Gre4nikov [31]
3 years ago
13

What is the sum of the arithmetic series below?

Mathematics
1 answer:
never [62]3 years ago
5 0
Our question transforms to finding the following sum : 3 + 7 + 11 + 15.... upto 15 terms 

<span>Use formula for sum of an AP series </span>

<span>S = (n * (2a + (n - 1)d)) / 2 </span>

<span>n -> no of terms in AP series , so n = 15 </span>
<span>a -> first term in series, so a = 3 </span>
<span>d -> common difference, so d = 4 </span>

<span>Put all values for a, n, d and you will get the sum.</span>
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When you add their numbers together you get 207 . Jen's number is 9 more than Carrie's, and Fran's number is 3 less than Jen's n
murzikaleks [220]

Answer: Fran's number is 70

Step-by-step explanation:

Let x represent Jen's number.

Let y represent Carrie's number.

Let z represent Fran's number.

When you add their numbers together you get 207. This means that

x + y + z = 207 - - - - - - - - - -1

Jen's number is 9 more than Carrie's number. It means that

y = x - 9

Fran's number is 3 less than Jen's number. It means that

z = x - 3

Substituting y = x - 9 and z = x - 3 into equation 1, it becomes.

x + x - 9 + x - 3 = 207

3x - 12 = 207

3x = 207 + 12 = 219

x = 219/3 = 73

y = x - 9 = 73 - 9

y = 64

z = x - 3 = 73 - 3

z = 70

8 0
3 years ago
What is the simplified form of 3abc/abc, when abc does not equal zero? Explain using the properties of real numbers.
elixir [45]
3abc / abc 
= 3 ( abc ) / abc
= 3

because the real numbers did not have zero. the real number are starting from positive 1 to  positive infinity number.
If we suppose a = 1, b = 2, c = 3
abc / abc = 1.

I hope that i helped you :)


4 0
3 years ago
Read 2 more answers
Three shooters shoot at the same target, each of them shoots just once.The first one hits the target with a probability of 50%,
nekit [7.7K]

Answer:

Let X be the number of times the target is hit. The probability P(X≥1) then equals 1 minus the probability of missing the target three times:

P(X≥1) = 1− (1−P(A)) (1−P(B)) (1−P(C))

           = 1−0.4*0.3*0.2

           = 0.976

To find the probability P(X≥2) of hitting the target at least twice, you can consider two cases: either two people hit the target and one does not, or all people hit the target. We find:

P(X≥2)=(0.4*0.7*0.8)+(0.6*0.3*0.8)+(0.6*0.7*0.2)+(0.6*0.7*0.8) = 0.788

Step-by-step explanation:

5 0
3 years ago
I hate math so I really need help
vivado [14]

Answer:

b. 4.5 cm

a. 42 mm is the answer

7 0
2 years ago
Ryan buys a bag of cookies that contains 8 chocolate chip cookies, 4 peanut butter cookies, 4 sugar
Pavlova-9 [17]

Answer:

4/69 to be exact. Slightly greater than 1/18

Step-by-step explanation:

The chance of selecting the PB cookie on the first try is 4 out of 24 or 1 out of 6. There are now 23 coolies left; 8 are chocolate, so 8/23 chance. (Slightly greater than 1/3) The chance of both events happening is the product if the individual events' chances. So multiply 1/6 times 8/23 to get 8/138. That reduces to 4/ 69. If he had put that first cookie back, the multiplication would have been 1/6×1/3. A lot easier.

4 0
3 years ago
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