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2 years ago

What is the median 5,7,9,10,16,17,20

Mathematics

1 answer:

kolezko [41]2 years ago

6 0

Answer:

Step-by-step explanation:

For an odd number of values, the median is the middle value when you write the values in ascending order.

5, 7, 9, 10, 16, 17, 20

The median is 10.

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There are 70 students in the school band. 40% of them are sixth graders, 20% are seventh graders, and the rest are eighth grader

guajiro [1.7K]

Answer:

Sixth graders: 14

Seventh graders: 28

Eighth graders: 28

Step-by-step explanation:

To solve this you just have to use a rule of three to solve the percentages, remember that the 100% will be the 70 students, and we solve each case separetly:

70 students= 100%

sixth grades= 40%

Sixth grades= (40*70)/100

Sixth graders= 28

70 students= 100%

seventh grades= 20%

seventh graders= (20*70)/100

Seventh graders=14

So if we have that the rest of the students are eighth graders, we just add up the sixth and seventh graders and withdraw them from the total:

28+14=42

70-42=28

SOwe have that the eighth graders are 28

7 0

2 years ago

A manufacturer wants to make open tin boxes from pieces of tin with dimensions 8 in. by 15 in. by cutting equal squares from the

Stells [14]

Answer:

$\frac{5}{3}$ in

Step-by-step explanation:

Let x be the side of square.

Length of box=8-2x

Width of box=15-2x

Height of box=x

Volume of box= $L\times B\times H$

Substitute the values then we get

Volume of box=V(x)= $(8-2x)(15-2x)x=(15x-2x^2)(8-2x)$

$V(x)=120x-30x^2-16x^2+4x^3$

$V(x)=4x^3-46x^2+120x$

Differentiate w.r.t x

$V'(x)=12x^2-92x+120$

$V'(x)=0$

$12x^2-92x+120=0$

$3x^2-23x+30=0$

$3x^2-18x-5x+30=0$

$3x(x-6)-5(x-6)=0$

$(x-6)(3x-5)=0$

$x-6=0\implies x=6$

$3x-5=0\implies x=\frac{5}{3}$

Again differentiate w.r.t x

$V''(x)=24x-92$

Substitute x=6

$V''(6)=24(6)-92=52>0$

Substitute x=5/3

$V''(5/3)=24(5/3)-92=-52$

Hence, the volume is maximum at x= $\frac{5}{3}$

Therefore, the side of the square , $x=\frac{5}{3}$ in cutout that gives the box the largest possible volume.

5 0

2 years ago

The price of a house DECREASED from $82500 to $77500. Calculate the PERCENTAGE DECREASE

Igoryamba

Answer:

6.06%

Step-by-step explanation:

$percentage \: decrease \\ \\ = \frac{82500 - 77500}{82500} \times 100 \\ \\ = \frac{5000 \times 100}{82500} \\ \\ = \frac{500000}{82500} \\ \\ = 6.06060606 \\ \\ = 6.06 \%$

7 0

2 years ago

I have no idea how to solve this

Pavlova-9 [17]

Answer:

x = 25

Step-by-step explanation:

Hi there !

the opposite angles are equal

4x - 25 = 25 + 2x

4x - 2x = 25 + 25

2x = 50

x = 50 : 2

x = 25

Good luck !

7 0

3 years ago

What is the equivalent ratio of 9 to 12?

liraira [26]

Answer:

3:4

Step-by-step explanation:

divide 9 by 3 and 12 by 3

7 0

3 years ago

Read 2 more answers