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Kobotan [32]
2 years ago
8

Challenge A large university accepts 40% of the students who apply. Of the students the

Mathematics
1 answer:
Orlov [11]2 years ago
5 0

Answer:

4,800 student's actually enroll.

Step-by-step explanation:

40% of 30,000 is 12,000.

40% of 12,000 is 4,800.

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they are 15 entrees available at a restaurant. from these, Archie is to choose 6 for his party. how many groups of 6 entrees can
Goshia [24]
In this item, we are informed that the order of the entries does not matter in determination the number of ways in which the Archie can choose for his party. Because the arrangement or order is not important, this type of problem uses the concept of COMBINATION.

The equation for combination is,
     nCr = n!/((n - r)!(r!))

nCr is read as "combination of n taken r".

Substituting the known values to the equation,
   15C6 = 15! / ((15 - 6)!(6!))
             = 5005

Hence, there are 5005 ways in which Archee can choose the 6 entrees for his party. 
6 0
3 years ago
Emily tossed a die onto a black and red checkerboard. what is the probability that it will land with a value of 2, on a red squa
Oxana [17]
1/2 becuase they are in between i think hope this helps
7 0
3 years ago
Read 2 more answers
A Rectangular has area 12a^2 and perimeter 14a what are the dimensions of this Rectangular?​
Nataliya [291]

9514 1404 393

Answer:

  3a by 4a

Step-by-step explanation:

For dimensions L and W, the area and perimeter are ...

  A = LW = 12a^2

  P = 2(L+W) = 14a

Using the second equation, we can find L:

  L +W = 7a . . . . . divide by 2

  L = 7a -W

Substituting into the area formula gives the quadratic ...

  (7a -W)(W) = 12a^2

  W^2 -7aW +12a^2 = 0 . . . . arrange in standard form

  (W -3a)(W -4a) = 0 . . . . . . . factor (find factors of 12 that total 7)

Then we have the two solutions ...

  W = 3a, L = 4a

  W = 4a, L = 3a

The rectangle dimensions are 3a by 4a.

5 0
3 years ago
Suppose a local park is rectangular in shape and has a length of 210 yards and a width of 105 yards. What is the length of the d
Otrada [13]

Answer:

234.784 ~ 235

Step-by-step explanation:

One side = 210

other side = 105

a2+b2 = c2

210 ^2 + 105 ^2 = c2

55125 = c ^2

c = \sqrt{55125} = 234.784 ~ 235

hope its right!!!

7 0
2 years ago
What point on the line y=9x+8 is closest to the origin
Marat540 [252]

to find the point, find the location

realize that the shortest line that crosses through the origin and y=9x+8 is perpendicular to y=9x+8

perpendicular lines have slopes that multiply to get -1

y=9x+8 has a slope of 9

9*m=-1, m=-1/9

the slope of the mystery line is -1/9

since it passes through the origin, the y intercept is 0

y=(-1/9)x is the equation of the line from the point to the origin

find the intersection of this line and the original line

set them equal to each other

(-1/9)x=9x+8

multily both sides by 9

-x=81x+72

minus 81 both sides

-82x=72

divide both sides by -82

x=-36/41

find y

y=(-1/9)x

y=(-1/9)(-36/41)

y=4/41

the point is (\frac{-36}{41},\frac{4}{41})

3 0
2 years ago
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