All categories

3 years ago

See image for question.

Mathematics

1 answer:

kotegsom [21]3 years ago

6 0

Answer:

(a)

<u>Sample space:</u>

1*1, 1*2, 1*3, 1*4,
2*1, 2*2, 2*3, 2*4,
3*1, 3*2, 3*3, 3*4,
4*1, 4*2, 4*3, 4*4

Total 16 outcomes

(b)

(i) P(even) = 12/16 = 3/4
(ii) P(3x) = 7/16
(iii) P(perfect square) = 4/16 = 1/4

(a) <u>Sample space:</u>

1T, 1H, 2T, 2H, 3T, 3H, 4T, 4H

Total 8 outcomes

(b)

(i) 1T, 3T

P(T and odd) = 2/8 = 1/4

(ii) 1H, 4H

P(H and square) = 2/8 = 1/4

(iii) 1H, 2H, 3H, 4H

P(H) = 4/8 = 1/2

You might be interested in

Amy wants to carpet a room that is 12 feet by 8 feet.

Alex17521 [72]

$1\ ft=0.333\ yards\\8\ ft=8\cdot0.333=2.664\ yards\\12\ ft=12\cdot0.333=3.996\ yards\\\\2.664\cdot3.996=10.645\ square\ yards\\\\She\ need\ 10.645\ square\ yards\ of\ carpet.$

4 0

3 years ago

Easy math problem plz Halp

yan [13]

The answer is 19.5

You add all the numbers to get 273 and divide by the amount of dots which is 14 to get 19.5

6 0

3 years ago

Read 2 more answers

What is the exact area of a circle with a radius of 12 ft

lisov135 [29]

Answer:

The area is approximately 453 ft²

Step-by-step explanation:

Area of a circle = $\pi r^{2}$

If $\pi$ = 22/7, and r = 12 ft

Area = (22/7)×12²

= 3.143*144

= 452.592 ft²

≈ 453 ft²

5 0

3 years ago

Charlie's garage has a rectangular floor space. Its length is 3 times its width. Charlie extends the width of his garage to 6 m,

MAXImum [283]

Answer:

The percentage change is 140%

Step-by-step explanation:

Given

$L= 3W_1$ ---- initial dimension

$W_2 = 6m$ --- new width

$A_2 = 45m^2$ --- new dimension

Required

The percentage increment

The length remains constant because only the width is extended.

The new area is:

$Area =Length * Width$

$A_2=L * W_2$

Make L the subject

$L = \frac{A_2}{ W_2}$

Substitute values for A and W

$L = \frac{45m^2}{6m}$

$L = \frac{45m}{6}$

$L = 7.5m$ --- this is the length of the garden

Calculate the initial width:

$L= 3W_1$

Make W1 the subject

$W_1 = \frac{1}{3} * L$

$W_1 = \frac{1}{3} * 7.5$

$W_1 = 2.5$

So, the initial area is:

$A_1 = L_1 * W_1$

$A_1 = 2.5 * 7.5$

$A_1 = 18.75$

The percentage change in area is:

$\%A = \frac{A_2 - A_1}{A_1}$

$\%A = \frac{45 - 18.75}{18.75}$

$\%A = \frac{26.25}{18.75}$

$\%A = 1.4$

Express as percentage

$\%A = 1.4*100\%$

$\%A = 140\%$

4 0

3 years ago

What’s the equation for mrs Mersons car

gregori [183]

Answer:

I'm not sure what your talking about? Is there a math equation? I need more information to answer this question.

Step-by-step explanation:

4 0

3 years ago

See image for question.​

See image for question.