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PilotLPTM [1.2K]
3 years ago
11

Plz helpppp fast plzzzzz Write the sum using summation notation, assuming the suggested pattern continues. -3 + 6 + 15 + 24 + ..

. + 132. a) summation of negative 27 times n from n equals 0 to infinity b) summation of negative 27 times n from n equals 0 to 15 c) summation of the quantity negative 3 plus 9 n from n equals 0 to infinity d) summation of the quantity negative 3 plus 9 n from n equals 0 to 15
Mathematics
1 answer:
Olin [163]3 years ago
6 0

Answer:

It is the first choice.

Step-by-step explanation:

This is a sequence where

the next term is obtained by adding 6.

first term = -9 + 6(0) = -9

second term = -9 + 6(1) = -3

third term = -9 + 6(2) = 3

4th term = -9 + 6(3)  = 9  

and 81 = -9 + (6*15).

So the answer is  Sigma (-9 + 6n)  from n= 0 to n = 15.

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A tram moved downward 54 meters in 6 seconds at a constant rate. What was the change in the tram's elevation each second?
Black_prince [1.1K]

Answer:

9 m/s

Step-by-step explanation:

To calculate the change in the tram's elevation each second, you must divide the given figures which is now the given formula of \frac{meters}{seconds};

54 ÷ 6 =

\frac{54}{6} = 9

Therefore, the change in the tram's elevation is 9 each second.

5 0
3 years ago
The table shows the fraction of the votes that each candidate received. If 230 students voted, how many students voted for Nyemi
densk [106]

Answer:

Nyemi got 138 votes.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A new automated production process averages 1.4 breakdowns per day. Because of the cost associated with a breakdown, management
dalvyx [7]

Answer:

The required probability is 0.167

Step-by-step explanation:

Consider the provided information.

Let x be the number of breakdown per day.

A new automated production process averages 1.4 breakdowns per day.

λ=1.4

Probability of having three or more breakdowns during a day is:

P(x\geq 3)=1-[f(0)+f(1)+f(2)]

The Poisson probability function is: f(x)=\frac{\lambda^xe^{-\lambda}}{x!}

Therefore the required probability is:

P(x\geq 3)=1-[\frac{\left(1.4^{0}e^{-1.4}\right)}{0!}+\frac{\left(1.4^{1}e^{-1.4}\right)}{1!}+\frac{\left(1.4^{2}e^{-1.4}\right)}{2!}]

P(x\geq 3)\approx1-0.833

P(x\geq 3)=0.167

Hence, the required probability is 0.167

4 0
3 years ago
What figure is a dilation of figure a by a factor of three
Umnica [9.8K]

Answer:

D, the bottom right

Step-by-step explanation:

A dilation by a factor of 3 would have values 3 times larger. So the original which has side lengths 2, 6, and 3 would become

2*3 = 6

6*6 = 36

3*6 = 18

The figure which has these measurement is D or the bottom right.

3 0
3 years ago
Plzzz help!! (Show work)
kompoz [17]

Answer:

3. 273

4. 168

5. 189.25

Step-by-step explanation:

3. Triangle= .5 x 17 x 6 = 21

Rectangle= 18 x 14 = 252

252 + 21 = 273

4. Big rectangle (shaded)= 11 x18= 198

Small rectangle (right)= 5x4=20

Smaller rectangle (left)= 2x5=10

BR - (SR+SMR)

198-30=168

5. radius=5

Area of the circle= 25(pi)

Semi-circle= 39.25(not exact)

Rectangle= 10 x15=150

Rectangle + Semi-circle

150+39.25=189.25

3 0
3 years ago
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