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Rama09 [41]
3 years ago
5

100 students are interviewed to see which of biology, chemistry or physics they prefer.

Mathematics
1 answer:
dimaraw [331]3 years ago
8 0

Answer:

43% of the students prefer biology

Step-by-step explanation:

Among girls:

39 of the students are girls.

21 of the girls like biology best.

Boys:

100 - 39 = 61 are boys.

16 prefer physics

11 out of the 34 who prefer chemistry are girls, so 34 - 11 = 23 are boys.

61 - (16 + 23) = 22 prefer biology.

What percentage of the students prefer biology?

21 boys and 22 boys, that is, 43 students out of 100. So

43*100%/100 = 43%

43% of the students prefer biology

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ALGEBRA QUESTION<br> x+7=8.3;x=1.3 TRUE OR FALSE
Leni [432]
This is true.

x+7=8.3. Remove 7 on both sides :x=8.3-7=1.3
7 0
3 years ago
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In example 4, the volume of the beach ball is 17,000 cubic inches. Find the radius to the nearest inch. Use 3.14 for pi
blagie [28]

Volume of a sphere formula is: V=4 /3 πr^3

You know v=17000 and pi=3.14

17 000 = 4/3 x 3.14 x r^3

(divide 17 000 by 4/3 x 3.14 ) --> r^3 = 4060.51 (2dp)

(cube root is to get just r) r = 15.95 inches (2dp)

There 15 inches to the nearest inch.

Hope this is correct! :D


7 0
3 years ago
Write 2 expressions that represent the areas of 4 triangles
arsen [322]
2-9x and 17x - 8x +2
4 0
3 years ago
Jacqueline is checking her bicycle’s wheel. The wheel has a radius of 20 cm, and its center is 51 cm above the ground. Jacquelin
Alex777 [14]

Answer:

h = 36.9 cm

Step-by-step explanation:

The function given to us is:

h(t) = 51 + 20 sin(225t)

Where h(t) is the function of the height in centimeters while t represents the time in seconds.

We have to find the height h(t) when the time is equal to 19 seconds.

Substitute t=19 into the given function

h(19) = 51 + 20 sin(225(19))

h(19) = 51 + 20 sin(4275)

h(19) = 51 + 20 (-0.7071)

h(19) = 51 + (-14,1421)

h(19) = 36.8579 cm

Rounding off to nearest 10th

h = 36.9 cm

6 0
3 years ago
The figure the Floor Plan of a balcony ,it consists of △ABC and semi-circle ,
ivanzaharov [21]

Step-by-step explanation:

(a) In right triangle ABC,

AC^2 =AB^2 +BC^2  \\  =  {12}^{2} +  {5}^{2}   \\  = 144 + 25 \\  = 169 \\  AC =  \sqrt{169}  \\  \therefore \: AC =  13\: m \\  \\ AC \: is \: the \: diameter \: of \: semicircle \\  \therefore \: r =  \frac{1}{2} \times  AC = \frac{1}{2} \times 13 = 6.5 \: m \\  Circumference \:of \:semi-circle \\ C = \pi \: r = 3.14 \times 6.5 = 20.41 \:m\:

Perimeter of Balcony = 12 + 5 + 20.41 = 37.41 m

(b) Area of balcony

=\frac{1}{2}\times 12\times 5+\frac{1}{2} \pi r^2 \\\\=\times 6\times 5+\frac{1}{2} \times 3.14\times (6.5)^2 \\\\=30+\frac{1}{2} \times 3.14\times42.25\\\\= 30+\frac{1}{2} \times 132.665\\\\= 30 + 66.3325\\\\= 96.3325 \:m^2 \\\\\approx 96. 33\:m^2

8 0
3 years ago
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