A tour company for large groups charges a one time fee of $200 plus an additional $25 per person who goes on the tour. They must make at least $1,650 to make the tour profitable. Let n be the number of people going on the tour. Write and solve an inequality in terms of n that represents all numbers of people who can go on the tour to make it profitable.

Answer:

P ( -1, -3)

Step-by-step explanation:

Given ratio is AP : PB = 3 : 2 = m : n  and points A(5,6) B(-5,-9)

We will calculate coordinates of the point P which divides line segment AB  in the following way:

xp = (n · xa + m · xb) / (m+n) = (2 · 5 + 3 · (-5)) / (3+2) = (10-15) / 5 = -5/5 = -1

xp = -1

yp = (n · ya + m · yb) / (m+n) = (2 · 6 + 3 · (-9)) / (3+2) = (12-27) / 5 = -15/5 = -3

yp = -3  

Point P( -1, -3)

Answer:

The correct option is B.

Step-by-step explanation:

If she borrowing money from somewhere else will increase pressure on her financially as she will have to pay the amount of interest along with the principle amount that she is borrowing.

This can result in increasing the pressure on her mentally and financially.

Rest all the other options will motivate her to save money for the house she wants to have without putting her into any kind of pressure.

Therefore the correct option is B.

Answer:

i did it on paper and i got -16

Step-by-step explanation:

Q2 Answer: Experimental = 60%, difference = 10%

Step-by-step explanation:

The prime numbers between 1 and 8 are: 2, 3, 5, and 7.

Theoretical:

Experimental:

    Experimental - Theoretical

=       60%            -      50%

=                     10%

Problem 1

To find the sample mean, we simply add up all the 40 items and then divide by 40

I will add up the values row by row, and then add up the subtotals to get the grand total

row1: 39+31+38+40+29 = 177

row2: 32+33+39+35+32 = 171

row3: 32+27+30+31+27 = 147

row4: 30+29+34+36+25 = 154

row5: 30+32+38+35+40 = 175

row6: 29+32+31+26+26 = 144

row7: 32+26+30+40+32 = 160

row8: 39+37+25+29+34 = 164

Add up the subtotals: 177+171+147+154+175+144+160+164 = 1292

Divide this over 40: 1292/40 = 32.2

So the sample mean is therefore 32.2

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To find the proportion of defective items, we count the number of times a value less than 26 shows up. That happens exactly two times. The first in row 4 (at the end of this row) is where a 25 shows up. Another copy of 25 shows up in row 8 (bottom row). There are no other values that are less than 26.

Divide this count (2) over the total sample size (40) and we get 2/40 = 1/20 = 0.05

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In summary, 32.2 will go in the first box while 0.05 will go in the second box.

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Problem 2

There are 4 values we want (2,3,5,7) out of 8 total (1,2,3,4,5,6,7,8) so 4/8 = 0.50 = 50% is the theoretical probability

This is the list of values given to us (I broke it up to help make the numbers more readable)

3, 4, 5, 2, 7

1, 3, 7, 2, 6

2, 1, 7, 3, 6

1, 8, 3, 5, 6

Of that list, the primes {3, 5, 2, 7, 3, 7, 2, 2, 7, 3, 3, 5} show up. There are 12 primes in this list out of 20. So the experimental probability is 12/20 = 3/5 = 0.60 = 60%

Therefore, the answer that goes in the "experimental probability" box is 60. The answer that goes in the second box is not 50%. I think your teacher is aiming for "10" to go in the second box because 60% is 10 percentage points higher than 50% (which was the theoretical probability found earlier)

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In summary, 60 will go in the first box while 10 will go in the second box.