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QveST [7]
3 years ago
10

At a certain college, there are 600 freshman, 400 sophomores, 300 juniors, and 200 seniors. if one student is selected at random

, what is the probability that the student is a sophomore?
Mathematics
1 answer:
Oksanka [162]3 years ago
3 0
The total number of sample space in this item is calculated by adding up all the number of students given. That is,

   S = 600 + 400 + 300 + 200 = 1500

The probability is calculated with the equation below.

    P = n / S

where P is the probability,
          n is the number of sophomores, and 
          S is the total number of students

Substituting,
    
  P = 400 / 1500 = 4/15

<em>ANSWER: 4/15</em>
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Determine the length of the legs in the right triangle below.
Marysya12 [62]

Answer:

x = 14

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² + x² = (14\sqrt{2} )²

2x² = 392 ( divide both sides by 2 )

x² = 196 ( take the square root of both sides )

x = \sqrt{196} = 14

Thus the congruent legs are 14 cm

5 0
3 years ago
The population of a certain animal species you are studying decreases at a rate of 3.5% per year. Only 80 of the animals in the
balu736 [363]
The function:
f ( x ) = x * 0.965^t
where x is the initial amount and t is the number of the years
80 = x * 0.965^3
80 = x  *  0.89632
x = 80 : 0.89632 ≈ 89
Answer:
The initial amount of animals was 89.
3 0
3 years ago
How do you do 27 divided by 624 in partial quotients
Virty [35]

Answer:

Step-by-step explanation:

For this case we have the following numbers:

624

27

When dividing both numbers, we observe that:

The partial quotient of the division is equal to 23

The rest of the division is equal to 3.

Note: See attached image to see the procedure of the division between both numbers.

Answer:

the partial quotient of 624 divided by 27 is:

23

6 0
3 years ago
Read 2 more answers
URGENT!!!!!<br> With workings
Aneli [31]
There’s probably an easier way to do it like with the equation to find the area of a trapezoid but i did it this way bc it’s easier for me

i split the trapezoid into a triangle and a square
with the pythagorean theorem i found the missing side length to find the area of the square (length X width)
then found the area of the triangle (base X height divided by 2)

THE ANSWER IS 68.9 CM

6 0
3 years ago
Read 2 more answers
Dora has 10 seashells and plans to add 2 shells every week. Jerri has 4 seashells and plans to add 5 shells every week. Which sy
Mariulka [41]

Answer:

Let x represents the week and y represents the seashells

As per the statement:

Dora has 10 seashells and plans to add 2 shells every week.

"2 shells every week" means 2x

⇒y = 10 + 2x

It is also given, Jerri has 4 seashells and plans to add 5 shells every week.

"5 shells every week" means 2x

⇒ y = 4 + 5x

The system of equation would be used:

y = 10 + 2x

y = 4 + 5x

Since, the girls have the same number of seashells

⇒10 + 2x = 4 + 5x

Subtract 4 from both sides we get;

6 + 2x = 5x

Subtract 2x from both sides we get;

6= 3x

Divide by 3 both sides we have;

x = 2 weeks.

Therefore, the number of weeks would it be before the girls have the same number if seashells is, 2 weeks.

3 0
3 years ago
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