All categories

3 years ago

Solve the problem. Make sure your answer is in simplest form. 5/8 x 4/15=?

Mathematics

1 answer:

oee [108]3 years ago

3 0

This would equal 20/120 which simplified would equal
1/6

You might be interested in

I need help anyone know

kaheart [24]

Answer:

yes ur correct its nonlinear lol

Step-by-step explanation:

6 0

3 years ago

Assume that power surges occur as a Poisson process with rate 3 per hour. These events cause damage to a computer, thus a specia

lidiya [134]

Answer:

a) 0.30327

b) 0.07582

Step-by-step explanation:

This is a Poisson distribution problem

Poisson distribution probability function is given as

P(X = x) = (e^-λ)(λˣ)/x!

where λ = mean = 3 power surges per hour

x = variable whose probability is required

a) If a single disturbance in 10 minutes will crash the computer, what is the probability of the computer crashing, that is probability of a single disturbance (power surge) in 10 minutes?

λ = 3 disturbances per hour = 1 disturbance per 20 minutes = 0.5 disturbance per 10 minutes.

P(X = x) = (e^-λ)(λˣ)/x!

λ = 0.5 disturbance per 10 minutes

x = 1 disturbance per 10 minutes

P(X = 1) = (e^-0.5)(0.5¹)/1! = (e⁻⁰•⁵)(0.5)/1!

= 0.30327

b) If two disturbances in 10 minutes will crash the computer, what is the probability of the computer crashing, that is probability of two disturbances (power surges) in 10 minutes?

λ = 3 disturbances per hour = 1 disturbance per 20 minutes = 0.5 disturbance per 10 minutes.

P(X = x) = (e^-λ)(λˣ)/x!

λ = 0.5 disturbance per 10 minutes

x = 2 disturbance per 10 minutes

P(X = 2) = (e^-0.5)(0.5²)/2! = (e⁻⁰•⁵)(0.25)/2!

= 0.07582

Hope this Helps!!!

3 0

4 years ago

Please help and show workings

Scorpion4ik [409]

Given:

In an isosceles triangle,

One base angle = (4x-15)°

Vertex angle = 95°

To find:

The value of x.

Solution:

Let the triangle be ABC.

We have,

$m\angle A=95^\circ$

$m\angle C=(4x-15)^\circ$

Since ABC is an isosceles triangle and AB=AC, therefore, the base angles are equal.

$m\angle B=m\angle C=(4x-15)^\circ$

Using angle sum property of triangles, we get

$m\angle A+m\angle B+\angle C=180^\circ$

$95^\circ+(4x-15)^\circ+(4x-15)^\circ=180^\circ$

$(8x+65)^\circ=180^\circ$

$(8x+65)=180$

On further simplification, we get

$8x=180-65$

$8x=115$

$x=\dfrac{115}{8}$

$x=14.375$

Therefore, the value of x is 14.375.

8 0

3 years ago

Name a rational number between the two given numbers? 7/11ths and 4/7ths explain how you know

Alex_Xolod [135]

Answer:

basically u have to beble gep

Step-by-step explanation:

art

4 0

3 years ago

Solve the equation<br> x+2/2=4/2

antiseptic1488 [7]

$\frac{x+2}{2} = \frac{4}{x}$
times both sides by 2x
x(x+2)=2(4)
x²+2x=8
minus 8 both sides
x²+2x-8=0
factor
what 2 numbers multiply to -8 and add to 2
-2 and 4
(x-2)(x+4)=0

set to zero
x-2=0
x=2

x+4=0
x=-4

x=-4 and 2

8 0

3 years ago