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Soloha48 [4]
2 years ago
6

There are 15 students in a social studies class. Two students will be selected to present their term projects today. In how many

different orders can two students be selected?
Mathematics
1 answer:
xz_007 [3.2K]2 years ago
5 0
Given:
15 students
2 students must be chosen.
No repetition, no order

This is a combinations problem. We use this formula: n! / (n-r)!(r!)

n = 15 ; r = 2

15! / (15-2)!(r!) ⇒ 15! / 13! * 2! = 105 
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​ On a certain hot​ summer's day, 335 people used the public swimming pool. The daily prices are $1.25 for children and $2.00 fo
spin [16.1K]

Answer:

57

Step-by-step explanation:

Let c represent the number of children ($1.75 each) and a represent the number of adults ( $2.00 each).

We know that there were 340 people total, so c + a = 340. This implies that a = 340 - c

We also know that $1.75 c + $2.00 a = $609.25

By substituting a with 340 -c we have $1.75 c + $2.00 (340 -c) = $609.25

Use the distributive property to obtain $1.75 c + $680 - $2.00 c = $609.25

Subtract $680 from both sides and combine like terms to get - $0.25 c = -

$70.75

Now, divide both sides by -$0.25 to get c = 283, the number of children.

The number of adults is 340 - c or 340 - 283 = 57

4 0
2 years ago
5. In one year, there were 125 major new automobile types available. If you look at the miles per gallon (MPG) for these vehicle
ziro4ka [17]

Answer:

The answer is "99.82% and 86.99%".

Step-by-step explanation:

In point a:

=P(X < 45)\\\\= P(Z < \frac{45-29.09}{5.46}) \\\\=P(Z < 2.9139)\\\\=0.9982\\\\=99.82\%

In point b:

=P(X >17)\\\\= P(Z > \frac{17-22.37}{4.77}) \\\\=P(Z > -1.1258)\\\\=0.8699\\\\=86.99\% \\\\

5 0
2 years ago
you buy a new pair of shoes for $125. you have a coupon for 25% off the shoes. what is the sale price
professor190 [17]

Answer:

$93.75

Step-by-step explanation:

7 0
2 years ago
20=v+9-16 <br><br><br>20=v+9+ ( )<br><br><br>20=v-<br><br><br> =v
DIA [1.3K]

Answer:

v = 27

Step-by-step explanation:

20 = v + 9 - 16

20 = v + (9 - 16)

20 = v - 7

v = 27

4 0
2 years ago
A group of 6 friends decides to rent a vacation house for a month. The monthly rent on the house is $2,130. Each friend pays an
svetlana [45]
The amount each friend pays=2130/6=$355
5 0
2 years ago
Read 2 more answers
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