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3 years ago

9

Simon flips 8 coins and lays them out in a straight line.

1 answer:

bixtya [17]3 years ago

8 0

Answer:

a) 256

b) 1/256

Step-by-step explanation:

_ _ _ _ _ _ _ _

every position has two possibilities (head or tail)

So,

2×2×2×2×2×2×2×2 = 2⁸ = 256

b) all tails is one of the 256 possible outcomes, so the probability is 1/256

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Please help i'll mark you the brainlyest

Hatshy [7]

9514 1404 393

Answer:

h(0) = 10

h(4) = 16

Step-by-step explanation:

The second part of the function definition applies when x=0.

h(x) = 2x^2 -3x +10

h(0) = 0 + 0 + 10 = 10

__

The third part of the function definition applies when x=4.

h(4) = 2^4 = 16

4 0

3 years ago

Consider a sample with data values of 27, 24, 21, 16, 30, 33, 28, and 24. Compute the 20th, 25th, 65th, and 75th percentiles. 20

densk [106]

Answer:

$P_{20} = 20$ --- 20th percentile

$P_{25} = 21.75$ --- 25th percentile

$P_{65} = 27.85$ --- 65th percentile

$P_{75} = 29.5$ --- 75th percentile

Step-by-step explanation:

Given

27, 24, 21, 16, 30, 33, 28, and 24.

N = 8

First, arrange the data in ascending order:

Arranged data: 16, 21, 24, 24, 27, 28, 30, 33

Solving (a): The 20th percentile

This is calculated as:

$P_{20} = 20 * \frac{N +1}{100}$

$P_{20} = 20 * \frac{8 +1}{100}$

$P_{20} = 20 * \frac{9}{100}$

$P_{20} = \frac{20 * 9}{100}$

$P_{20} = \frac{180}{100}$

$P_{20} = 1.8th\ item$

This is then calculated as:

$P_{20} = 1st\ Item +0.8(2nd\ Item - 1st\ Item)$

$P_{20} = 16 + 0.8*(21 - 16)$

$P_{20} = 16 + 0.8*5$

$P_{20} = 16 + 4$

$P_{20} = 20$

Solving (b): The 25th percentile

This is calculated as:

$P_{25} = 25 * \frac{N +1}{100}$

$P_{25} = 25 * \frac{8 +1}{100}$

$P_{25} = 25 * \frac{9}{100}$

$P_{25} = \frac{25 * 9}{100}$

$P_{25} = \frac{225}{100}$

$P_{25} = 2.25\ th$

This is then calculated as:

$P_{25} = 2nd\ item + 0.25(3rd\ item-2nd\ item)$

$P_{25} = 21 + 0.25(24-21)$

$P_{25} = 21 + 0.25(3)$

$P_{25} = 21 + 0.75$

$P_{25} = 21.75$

Solving (c): The 65th percentile

This is calculated as:

$P_{65} = 65 * \frac{N +1}{100}$

$P_{65} = 65 * \frac{8 +1}{100}$

$P_{65} = 65 * \frac{9}{100}$

$P_{65} = \frac{65 * 9}{100}$

$P_{65} = \frac{585}{100}$

$P_{65} = 5.85\th$

This is then calculated as:

$P_{65} = 5th + 0.85(6th - 5th)$

$P_{65} = 27 + 0.85(28 - 27)$

$P_{65} = 27 + 0.85(1)$

$P_{65} = 27 + 0.85$

$P_{65} = 27.85$

Solving (d): The 75th percentile

This is calculated as:

$P_{75} = 75 * \frac{N +1}{100}$

$P_{75} = 75 * \frac{8 +1}{100}$

$P_{75} = 75 * \frac{9}{100}$

$P_{75} = \frac{75 * 9}{100}$

$P_{75} = \frac{675}{100}$

$P_{75} = 6.75th$

This is then calculated as:

$P_{75} = 6th + 0.75(7th - 6th)$

$P_{75} = 28 + 0.75(30- 28)$

$P_{75} = 28 + 0.75(2)$

$P_{75} = 28 + 1.5$

$P_{75} = 29.5$

7 0

3 years ago

Write the proportion of 5 and 20

Andreas93 [3]

Answer:

5 : 20 = 1 : 4

Step-by-step explanation:

Common multiple is 5 so divide each number bu five.

6 0

3 years ago

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Please Help!! [ tough geometry question :( ]

kaheart [24]

Answer: $133^{\circ}$

Step-by-step explanation:

Opposite angles of a cyclic quadrilateral are supplementary, so:

$4x+5+x+15=180\\\\5x+20=180\\\\5x=160\\\\x=32$

This means that $m\angle A=4(32)+5=\boxed{133^{\circ}}$

3 0

2 years ago

Read 2 more answers

Write an expression to show k less than 3.5

Elis [28]

K < 3.5

< means less than and > means more than and = means equal to so k < (less than) 3.5

3 0

3 years ago

Read 2 more answers