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Talja [164]
3 years ago
13

There are 125 passengers in the first carriage, 150 passengers in the second carriage and 175 passengers in the third carriage,

and so on in an arithmetic sequence. What’s the total number of passengers in the first 7 carriages
Mathematics
1 answer:
kakasveta [241]3 years ago
4 0

Answer:

1400

Step-by-step explanation

First I made a list of all of the first 7 carriages, so that's 125, 150, 175, 200, 225, 250, and 275. After adding those you get 1400.

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Solve the system algebraically. 3x - 2y - 1 = 0 y = 5x + 4 What is the solution? {(-9/7,-17/7)} {(9/7,17/7)} {(9/7,-17/7)}
lutik1710 [3]
3x - 2y - 1 = 0
y = 5x + 4

3x - 2(5x + 4) - 1 = 0
3x - 10x - 8 - 1 = 0
-7x - 9 = 0
-7x = 9
x = -9/7

y = 5x + 4
y = 5(-9/7) + 4
y = -45/7 + 4
y = -45/7 + 28/7
y = - 17/7

solution is (-9/7, -17/7)
3 0
3 years ago
Read 2 more answers
Andrew is elder to Brian by 2 years. Andrew's father Frank is twiceas old as Andrew, and Brian is twice as old as his sister Sar
babunello [35]

Let "x" represent the age of Brian.

Andrew is elder than Brian by 2 years, we can symbolize his age as "x+2"

Frank is twice as old as Andrew, we can symbolize his age as "2(x+2)"

Sarah has half the age of Brian's, we can symbolize her age as "x/2"

Frank ans Sarah's ages differ by 40 years, we can symbolize this as:

2(x+2)-\frac{x}{2}=40

Solve the term is parenthesis

\begin{gathered} 2x+4-\frac{1}{2}x=40 \\ 2x-\frac{1}{2}x+4=40 \\ \frac{3}{2}x=40-4 \\ \frac{3}{2}x=36 \\ x=24 \end{gathered}

x=24 years

Andrew's age is

x+2=24+2=26

Andrew is 26 years old

3 0
1 year ago
The proportion of American births that result in a birth defect is approximately 1/33 according to the Centers for Disease Contr
max2010maxim [7]

Answer:

The appropriate probability model for X is a Binomial distribution,

X \sim Bin (<em>n</em> = 5, <em>p</em> = 1/33).

Step-by-step explanation:

The random variable <em>X</em> can be defined as the number of American births resulting in a defect.

The proportion of American births that result in a birth defect is approximately <em>p</em> = 1/33.

A random sample of <em>n</em> = 5 American births are selected.

It is assumed that the births are independent, i.e. a birth can be defective or not is independent of the other births.

In this experiment the success is defined as a defective birth.

The random variable <em>X</em> satisfies all criteria of a Binomial distribution.

The criteria are:

  • Number of observations is constant
  • Independent trials
  • Each trial has only two outcomes: Success and Failure
  • Same probability of success for each trial

Thus, the appropriate probability model for X is a Binomial distribution, Bin (<em>n</em> = 5, <em>p</em> = 1/33).

7 0
3 years ago
Read 2 more answers
Nancy’s morning routine involves getting dressed, eating breakfast, making her bed, and driving to work. Nancy spends ⅓ of the t
Lina20 [59]
26 minutes to get to work
5 0
2 years ago
The expression (7-4i)-(3-12i) simplified is
Marizza181 [45]

Answer:

8i + 4

Step-by-step explanation:

Add/subtract like terms:

7 - 3

= 4

-4i - (-12i)

-4i + 12i

= 8i

Add these together:

8i + 4

So, the simplified expression is 8i + 4

4 0
3 years ago
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