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sergeinik [125]
2 years ago
5

1/3 of students at a school are boys. If there are 600 students, how many of them are girls?

Mathematics
1 answer:
Nadya [2.5K]2 years ago
7 0

400

Explanation:

1/3 of 600 is 200. That represents the boys.

Subtract 200 from 600, you get 400. That represents everybody else in the sample size (in this case, girls).

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10. 10x + 5y = 15
Westkost [7]

Answer:

x = 1.5

y = 0

Step-by-step explanation:

10x + 5(2x - 3) = 15

10x + 10x - 15 = 15

20x - 15 = 15

20x = 30

x = 1.5

y = 2(1.5) - 3

y = 3 - 3

y = 0

Check:

10(1.5) + 5(0) = 15

15 + 5(0) = 15

15 + 0 = 15

15 = 15

7 0
3 years ago
Each of three coins has two sides, heads and tails. Represent the heads or tails status of each coin by a logical variable (A fo
jeka94

Answer:

(a) F(A, B, C) = AB'C' + A'BC' + A'B'C

(b) F(A, B, C) = (A' + B' + C')(A' + B + C)(A + B' + C)(A + B + C')(A + B + C)

Step-by-step explanation:

(a) If F(A, B, C) = 1 iff exactly one of the coins is heads, then either

A is heads and the others are tails (AB'C')

B is heads and the others are tails (A'BC')

C is heads and the others are tails (A'B'C)

Hence, as a minterm expansion,

F(A, B, C) = AB'C' + A'BC' + A'B'C

(b) To get the corresponding maxterm expansion, we convert to binary.

F(A, B, C) = \sum (100, 010, 001) = \sum(4,2,1)

The maxterm is the product of the complements.

F(A, B, C) = \prod (0, 3, 5, 6, 7) = \prod(000, 011, 101, 110, 111)

Expanding,

F(A, B, C) = (A' + B' + C')(A' + B + C)(A + B' + C)(A + B + C')(A + B + C)

3 0
3 years ago
In a certain test, the number of successful candidates was three times than that of unsuccessful candidate, if there had been 16
Natali5045456 [20]

Answer:

The number of candidates is 136.

Step-by-step explanation:

3 0
2 years ago
I need help with all 8!
a_sh-v [17]
1) D
2)
3) B
4 ) F
5)C
6) F
7) D
8) C

I'm not sure about questions 4 and 7, but they may be correct.

I couldn't because I couldn't see the 2nd question
3 0
2 years ago
An hourglass consists of two sets of congruent composite figures on either end. Each composite figure is made up of a cone and a
belka [17]
Answer: third option 268.8

Explanation:

For this kind of proble it is very important that you attach the figure because it contains important information to understand the question.

I have attached the figure for better understanding.

1) The top portion (and the bottom is congruent but rotated 180°) of the hourglass is a figure equivalent to a cylinder on top and a cone on bottom.

So the total volume contained in the top portion is the volume of a cylinder + the volume of a cone.

This is how you calculate the volume of the top portion:

1) The height of the cylinder is 54 mm - 18 mm = 36 mm

2) The formula for the volume of a cylinder is V = π (radius)^2 * height

radius = 8 mm
height = 36 mm

=> V = π(8mm)^2 * 36 mm = 2304π (mm)^3

3) The formula for the volume of a cone is V = (1/3)π(radius)^2 * height

radius = 8 mm
height = 18 mm

V = (1/3)π(8mm)^2 * 18 mm = 384π (mm)^3

4) The total volume of the top portion is volumen of the cylindrical part + voume of the cone:

Total voluem = 2304π (mm)^3 + 384π (mm)^3 = 2688π (mm)^3

5) To find the number of seconds <span>it take until all of the sand has dripped to the bottom of the hourglass you have to divide the total volumen of sand by the rate:

time in seconds = total volume of sand / rate of dripping

time in seconds = [2688 π (mm)^3 ] / [10π (mm)^3 / s] = 268.8 s

That is the answer: 268.8 s
</span>

4 0
3 years ago
Read 2 more answers
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