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3 years ago

The faces of an eight-sided solid are labeled 1 through 8. Each

Mathematics

1 answer:

Elenna [48]3 years ago

3 0

Answer:

The probability that an odd number is rolled on both solids is $\frac{1}{4}$ .

Step-by-step explanation:

Consider the provided information.

For the 8 sided dice the total number of outcomes = 64.

The favourable outcomes i.e odd numbers on both the solid = 16

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (1,7), (1,8)

(2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (2,7), (2,8)

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (3,7), (3,8)

(4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (4,7), (4,8)

(5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (5,7), (5,8)

(6,1), (6,2), (6,3), (6,4), (6,5), (6,6), (6,7), (6,8)

(7,1), (7,2), (7,3), (7,4), (7,5), (7,6), (7,7), (7,8)

(8,1), (8,2), (8,3), (8,4), (8,5), (8,6), (8,7), (8,8)

We know that $\text{Probability}=\frac{\text{Favourable outcomes}}{\text{Total outcomes}}$

$\text{Probability of odd on both solid}=\frac{16}{64}$

$\text{Probability of odd on both solid}=\frac{1}{4}$

Hence, the probability that an odd number is rolled on both solids is $\frac{1}{4}$ .

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Which of the following expressions is equivalent to 9m? m – 9 9 + m (9)( m)

Lena [83]

Answer:

(9)(m)

Step-by-step explanation:

We can obtain the right answer to question as follow:

m – 9

We can not carryout the operation because m and 9 has nothing in common.

9 + m

We can not carry out the operation because 9 and m has nothing in common.

(9)(m)

Thus, (9)(m) can be written as

(9)(m) = 9 × m

We can carryout the operation since 9 can multiply the coefficient of m i.e 1 as shown below:

9 × m = 9 × 1m = 9m

Thus,

(9)(m) = 9m

From the above illustrations, we can see that (9)(m) is equivalent to 9m

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3 years ago

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mars1129 [50]

Answer: 2.19 pounds

Step-by-step explanation:

35 / 16 is 2.1875, if you round that you get 2.19

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3 years ago

Read 2 more answers

Which of the numbers below is greater than -4.5? Select all that apply.

Verizon [17]

Answer:

Step-by-step explanation:

Let's go through each answer choice.

A) -3 is to the right of -4.5 on the number line, so it is greater than -4.5

B) -3/2 is to the right of -4.5 on the number line, so it is greater than -4.5

C) 1/3 is to the right of -4.5 on the number line, so it is greater than -4.5

D) 2.5 is to the right of -4.5 on the number line, so it is greater than -4.5

E) -5.2 is to the left of -4.5 on the number line, so it is less than -4.5

Therefore, the answers are A), B), C), and D).

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3 years ago

Wyatt and his family went to the beach. First, they swam in the ocean for 1 hour and 45 minutes. Then they built sandcastles for

Ainat [17]

Answer:

Step-by-step explanation:

time = 60 + 45 + 60 + 40 + 60 + 5 = 180 + 90 = 270

270/60 = 4 hrs and 30 mins

6:15 - 4 hrs = 2:15

2:15 - 30 mins = 1:45 pm

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3 years ago

In 1898 L. J. Bortkiewicz published a book entitled The Law of Small Numbers. He used data collected over 20 years to show that

attashe74 [19]

Answer:

(a) The probability of more than one death in a corps in a year is 0.1252.

(b) The probability of no deaths in a corps over 7 years is 0.0130.

Step-by-step explanation:

Let <em>X</em> = number of soldiers killed by horse kicks in 1 year.

The random variable $X\sim Poisson(\lambda = 0.62)$ .

The probability function of a Poisson distribution is:

$P(X=x)=\frac{e^{-\lambda}\lambda^{x}}{x!};\ x=0,1,2,...$

(a)

Compute the probability of more than one death in a corps in a year as follows:

P (X > 1) = 1 - P (X ≤ 1)

= 1 - P (X = 0) - P (X = 1)

$=1-\frac{e^{-0.62}(0.62)^{0}}{0!}-\frac{e^{-0.62}(0.62)^{1}}{1!}\\=1-0.54335-0.33144\\=0.12521\\\approx0.1252$

Thus, the probability of more than one death in a corps in a year is 0.1252.

(b)

The average deaths over 7 year period is: $\lambda=7\times0.62=4.34$

Compute the probability of no deaths in a corps over 7 years as follows:

$P(X=0)=\frac{e^{-4.34}(4.34)^{0}}{0!}=0.01304\approx0.0130$

Thus, the probability of no deaths in a corps over 7 years is 0.0130.

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3 years ago