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I am Lyosha [343]
3 years ago
10

4 freshman boys, 6 freshman girls, and 6 sophomore boys go on a trip. How many sophomore girls must join them if a student's gen

der and class are to be independent when a student is selected at random?
Mathematics
1 answer:
TEA [102]3 years ago
3 0

Answer:

4 sophomore girls .

Step-by-step explanation:

If a student's gender and class are to be independent when a student is selected at random, two conditions must be met:

n° boys = n° girls

n° freshmen = n° sophomore

Currently, there are 10 boys and 6 girls, thus 4 girls must join.

Currently, there are 10 freshmen and 6 sophomores, thus 4 sophomores must join.

Therefore, 4 sophomore girls must join.

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A ball is thrown from an initial height of 2 meters with an initial upward velocity of 15/ms . The ball's height h (in meters) a
Irina-Kira [14]
The height that a ball reaches at a certain time t is given by the equation,
           h = 2 - 15t + 5t²
We are asked to compute for the values of t that would allow the ball to reach a height of 7 meters. 

Substitute the 7 to the equation,
         7 = 2 - 15t + 5t²
Transposing,
               5t² - 15t - 7 + 2 = 0
Simplifying,
               5t² - 15t - 5 = 0
Divide the equation by 5,
               t² - 3t - 1 = 0

The values of t can be calculated through the quadratic formula,
             t = (-b +/- sqrt(b² - 4ac))/2a

Substituting, 
             t = (3 +/-sqrt (9 - 4(-1)) / 2(1)
              t = 3.3 or t = -0.30

Since, we cannot have t as a negative number hence, our final answer is:
      <em> t = 3.3 s</em>
4 0
2 years ago
you need 3 sticks of butter for every 24 cookies you bake how many sticks of butter do you need for 16 cookies
ahrayia [7]

Answer: 2

Step-by-step explanation:

24 divided by 3 is 8 so 1 stick of butter makes 8 cookies so 2 sticks of butter make 16 cookies(2 x 8)

6 0
3 years ago
Read 2 more answers
Find the first three terms of the sequence with nth term 3n-2​
kykrilka [37]

Answer:

To find out the first three terms of 3n - 2 substitute 1 ,2 and 3 into the equation.

so the three terms a

 3(1)-2=1

3(2)-2=6-2=4

3(3)-2=9-2=7

As you can see the sequence goes up in 1,4 and 7.To find out the 10th term you also substitute 10 into the equation so 3(9)-2=18-2=16

so 16 is the tenth term

Hope this helped!

7 0
3 years ago
Select the correct product <br> (x2+4) (x2-4)<br><br> x4 16<br> x4+16<br> x2+8x+16<br> x2 8x 16
natka813 [3]
The answer would be x^4 -16
Explanation: use the FOIL method.
(x^2 +4)(x^2 -4)= x^4 +4x -4x -16. 4x and -4x cancel each other out. You are left with x^4 -16.
F- irst
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8 0
3 years ago
if a square has an area of 255 square yards and a perimeter of 60 yards what is the side length of the square
Marta_Voda [28]

Answer: 15, if area is supposed to be 225

Step-by-step explanation:

60 / 4 sides = 15

15*15= 225

8 0
3 years ago
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