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3 years ago

I don’t know how to explain on why the student was incorrect

Mathematics

1 answer:

Zolol [24]3 years ago

7 0

Answer:

the constant proportionality means the ratio between two directly proportional quantities.

so the constant proportionality will be 7.5÷6=1.25 or 10÷8=1.25 or 12.5÷10=1.25

constant proportionality should be same all through because it's a constant

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In a figure, OB is the radius of a big semicircle and XB is the radius of the small semicircle. Given that OX = 14 cm, Calculate

oee [108]

Answer:

perimeter of the shaded region = 88 +44+28 =160 cm

Step-by-step explanation:

perimeter of shaded region = length AO + arc OB + arc AB

length AO = radius of bigger circle

radius of bigger circle = OX + OB = 2×radius of smaller circle = 2×14 cm = 28 cm

therefore AO = 28 cm

length of arc oB= half of circumference of smaller circle = $\pi$ ×14 = 44 cm

length of arc ab = half of circumference of bigger circle = $\pi$ ×28 = $\frac{22}{7}$ ×28= 88

therefore perimeter of the shaded region = 88 +44+28 =160 cm

area of the shaded region = half of area of bigger circle - half of area of smaller circle

= $\frac{1}{2} \pi 28^{2} -\frac{1}{2} \pi 14^{2}$

= $\frac{\pi }{2} (28^{2} -14^{2} )$

solving we gen area of shaded region = 924

7 0

3 years ago

Cards. A deck of 52 cards is shuffled and dealt. Find the probabilities of the following events: a) the tenth card is a queen; b

Veronika [31]

Answer:

0.0374
0.0010

Step-by-step explanation:

number of cards = 52

number of queen = 4

number of spades = 13

A) probability that the tenth card is a queen

drawn time (r) = 1

position of success(x) = 10th

p = 4/52

P( x,r,p) = $x-1Cr-1*p^(r) * q^(x-r)$

p(10,1,4/52) = 9C0(4/52)^1 * (48/52)^9 = 0.0374

B) probability the twentieth card is a spade

x = 20

r = 1

p = 13 / 52

P(20,1,26/52) = 19C0(26/52)^1 * (26/52)^19 = 0.0010

c) The last five cards been spades

p(last five cards been spades )

p(48..52, 5, 13/52 ) = 47...52C4(13/52)^5 * (39/52)^48..52 - 5

4 0

3 years ago

Which of the following represents the ratio of the hypotenuse to the given side?

mixas84 [53]

Answer:c

Step-by-step explanation:

hyp=6 $\sqrt{2}$

adj=6

hyp:adj=6 $\sqrt{2}$ :2

hyp:adj= $\frac{6\sqrt{2} }{6} \\$

$=\frac{\sqrt{2} }{1} \\hyp:adj=\sqrt{2} :1$

3 0

3 years ago

Mike is giving roses to some children at a carnival. He has 7 red roses, 8 yellow roses, and 9 white roses. If Mike selects a ro

Anika [276]

The probability, in simplest form, is 3/23.

There are 9+8+7=24 roses. The probability of drawing a white rose first is 9/24. The probability of then drawing a yellow rose is 8/23, as one of the roses is gone. The total probability is 9/24(8/23) = 72/552 which then simplifies to 3/23.

8 0

3 years ago

Read 2 more answers

Find the specified element in the inverse of the given matrix

JulijaS [17]

What is the given matrix?
you didn't show a matrix.
the components of the matrix are the elements.
and the elements of the inverse matrix are the elements of the inverse matrix
1)
so if matrix A is 1 4 1
2 5 2
3 6 3
2)
14114
25225
36336

3)
15 24 12
15 12 24
4)
[A]=(15+24+12=51)-(15+12+24=51)
[A]=0
5)
  52 23 25
63 23 36

41 11 14
63 33 36

41 12 14
52 12 25
6)

15-12 6-6 12-15

12-6 3-3 6-12

8-5   2-2 5-8

7)
3 0   -3

6 0 -6

3 0 -3
8)
(+)3 (-)0 (+)-3

(-)6 (+)0 (-)-6

(+)3 (-)0 (+)-3
=

  3 0 -3
-6 0   6
3 0 -3

9)
  3 -6 3
N= 0 0 0
-3 6 -3
10) the inverse of [A]= 1/|A|*[N]
which is in this case ⁻A= 0
because |A|=0

6 0

3 years ago