All categories

3 years ago

Ms Wallwill Roll a single number cube. What is the What is the probability she will roll an even number ?

Mathematics

1 answer:

mestny [16]3 years ago

6 0

Answer:

Step-by-step explanation:

Odds of getting an even number is 3

3/6 simplified to 1/2

You might be interested in

Andy, Fergus, Evelyn, and Margaret are collecting cans for recycling. Before lunch they have collected a total of 173 cans. At t

Salsk061 [2.6K]

Answer:

n would be the number of cans Andy, Fergus, and Evelyn collected

Step-by-step explanation:

because if they only give Margaret's number then you wouldn't know the number of everyone else.

4 0

3 years ago

7. The length of time (in months after maintenance) until failure of a bank’s surveillance television equipment follows a Weibul

cupoosta [38]

Answer:

The frequency by which the equipment should receive periodic maintenance is $x= 13.59$

Step-by-step explanation:

A Wellbull distribution is mathematically represented as

$f(x,\alpha, \beta ) = \left \{ { {\frac{\alpha }{\beta^{\alpha } }x^{\alpha -1} e^{-[\frac{x}{\beta } ]^\alpha} \ \ \ \ \ \ \\ \\ , x \ge0} \atop {0 \ \ \ \ \ \ \ \ Otherwise }} \right.$

Where x is the frequency that the equipment should receive periodic maintenance

probability of a breakdown before the next scheduled maintenance is mathematically represented as

$P(x) = \int\limits^x_0 {\frac{\alpha }{\beta^{\alpha } } x^{\alpha -1 } e^{-[\frac{x}{\beta } ]^{\alpha }} } \, dx$

Substituting 2 for $\alpha$ and 60 for $\beta$ 0.05 for P(x)

$0.05 = \int\limits^x_0 {\frac{2}{60^2} x^{2-1} e^{-[\frac{x}{60}]^2 } \, dx$

$0.05 = \frac{2}{3600}\int\limits^x_0 {xe^{[-\frac{x^2}{3600} ]}} \, dx$

Let $v = - \frac{x^2}{3600}$

=> $dv = \frac{-xdx}{1800}$

=> $-xdx = 1800\ dv$

Multiply both sides by minus

=> $xdx = -1800dv$

Substituting this into the equation

$0.05 = \frac{2}{3600} \int\limits^x_0 {-1800 e^u} \, du$

Integrating and substituting back for x

$0.05 = -\frac{1800}{1800} [e^{[-\frac{x^2}{3600} ]}]\left {{x} \atop {0}} \right.$

substituting for the range of x and 0

$0.05 = - [e^{-[\frac{x^2}{3600}] } -1]$

$0.05 = -e^{[-\frac{x^2}{3600} ]} +1$

$0.05 -1 = -e^{-\frac{x^2}{3600} }$

$-0.95 = -e^{[-\frac{x^2}{3600} ]}$

$0.95 = e^{[-\frac{x^2}{3600} ]}$

Taking ln of both sides

$-0.05129 = - \frac{x^2}{3600}$

making x the subject of the formula

$x = \sqrt{0.05129 * 3600 }$

$x= 13.59$

4 0

3 years ago

lyudmila [28]

54% because there is a total of 100 and you have already taken 46 of that. And we have not been given a third factor

3 0

3 years ago

10x – 3x + 7 the simplified expression

Brrunno [24]

Answer:

10x - 3x + 7

=(10x - 3x) + 7

= 7x - 7

=7(x - 1)

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

What is 1 raised to the third power?

Gwar [14]

Answer:

Step-by-step explanation:

Given that, 1 to the power of 3

Generally, the rules for exponentiation states that if l is any real number and m is a positive integer, then lm can be shown as:

lm = l × l × … × l (m times)

Hence, 1 to the power of 3 can be written as 13, where the number 1 is called the base, and 3 is the power or exponent of the expression.

Therefore, 13 = 1 × 1 × 1 = 1

Hence, 1 to the power of 3 comes as 1.

8 0

2 years ago

Read 2 more answers