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3 years ago

What is the capacity of the cube in liters?

Mathematics

2 answers:

Yanka [14]3 years ago

6 0

Capacity=L^3
=8×8×8
=512L

ioda3 years ago

5 0

The formula for the volume of a cube is

V=s³ where s=side length
Plug in the data we know
V=8³
V=512cm³

1 liter=1000cm²
x liter=512cm²

1liter xliter
______=_______
1000cm³ 512cm³

Cross multiply
1000x=512
divide both sides by 1000
x=0.512 liters

Answer=0.512 L

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A company surveyed 2,600 North American airline passengers and reported that approximately 75% said that they carry a smartphone

geniusboy [140]

The probability that exactly six out of ten carry a smartphone when travelling is; P(6) = 0.146

The missing part of the question is;

The probability distribution of x is the binomial distribution with n = 10 and p = 0.75.

Calculate P(6)

This is a binomial probability distribution problem that has a general formula as; P(x) = ⁿCₓ × pˣ × q⁽ⁿ ⁻ ˣ⁾

Where;

p is probability of success

q is probability of failure

n is number of experiments

In this question;

n = 10

p = 75% = 0.75

q = 1 - p

q = 1 - 0.75

q = 0.25

Since six passengers are randomly selected, then applying the formula earlier quoted, we have;

P(6) = ¹⁰C₆ × 0.75⁶ × 0.25⁽¹⁰ ⁻ ⁶⁾

P(6) = 0.146

Read more at; brainly.com/question/24239758

4 0

3 years ago

An unfair die is twice as likely to roll an even number than an odd number. what is the probability of it rolling an odd number?

Anarel [89]

The probability is always expressed as a part of the whole. So, it can be in terms of fraction or percentage. The numerator is the number of possible events while the denominator is the number of total events. Let x be the number of times you roll an odd number. So, the number of times you roll an even number would be 2x. The total rolls would then be x + 2x. Thus, the probability of rolling an odd number is

Probability = x/(2x + x) = x/3x = 1/3

3 0

3 years ago

Y varies directly as x. Y=42 when x=6. Find the value of y when x =15.

pentagon [3]

Answer:

y=120

Step-by-step explanation:

Y varies directly as x is written as

$y \alpha x$

introducing a constant

y=kx

from the question, when y=48, x=6

substitute it in the formula

48=6k

making k the subject by dividing through by 6

$\frac{48}{6} = \frac{6k}{6}$

k=48/6

k=8

put the value of k in the expression y=kx

y=8x

from the question,the value of y when x=15 is given by

y=8×15

y=120.

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