Which equation can you use to correctly solve for the volume of the hemisphere?

Accrotime is a manufacturer of quartz crystal watches. Accrotime researchers have shown that the watches have an average life of

kirza4 [7]

Answer:

a

$P(X < 24 )= 21.186\%$

b

$x = 19.78 \ months$

Step-by-step explanation:

From the question we are told that

The mean is $\mu = 26 \ months$

The standard deviation is $\sigma = 4 \ months$

Generally 2 year is equal to 24 months

Generally the percentage of total production will the company expect to replace is mathematically represented as

$P(X < 24 )= P(\frac{X - \mu }{ \sigma} < \frac{24 - 26}{4} )$

Generally $\frac{X - \mu}{\sigma } =Z (The \ standardized \ value \ of \ X )$

$P(X < 24 )= P(Z < -0.8 )$

Generally from the z-table

$P(Z < -0.8) = 0.21186$

So

$P(X < 24 )= 0.21186$

Converting to percentage

$P(X < 24 )= 0.21186 * 100$

=> $P(X < 24 )= 21.186\%$

Generally the duration that should be the guarantee period if Accrotime does not want to make refunds on more than 6% is mathematically evaluated as

$P(X < x) = P(\frac{X - \mu }{\sigma} < \frac{x - 26}{4} )= 0.06$

=> $P(X < x) = P(Z < \frac{x - 26}{4} )= 0.06$

From the normal distribution table the z-score for 0.06 at the lower tail is

$z = -1.555$

So

$\frac{x - 26}{4} = -1.555$

=> $x = 19.78 \ months$

7 0

3 years ago

The function f is defined by f(x)=x^2-5 find f(2y)

Anuta_ua [19.1K]

$\bf f(x)=x^2-5\qquad \qquad f(2y)=(2y)^2-5\implies f(2y)(2^2y^2)-5
\\\\\\
f(2y)=4y^2-5$

4 0

3 years ago

A crew of highway workers paved 1/5 mile in 1/8 hour. If they work at the same rate, how much will they

Elan Coil [88]

Answer:

The easiest approach is to realise that one hour is 3 times longer than 20 minutes. The longer the time, the more they will pave.

215 of a mile, in 20 minutes, how much in 60 minutes?#

They will pave 3 times more.

215×31=615 of a mile

615=25 of a mile

You could also use the 'unitary method' where you find out how much they pave in ONE minute (divide by 20) and them multiply by 60 to find how much in one hour.

Look at what happens:

215÷20×60

=215×120×603

=215×3 ← exactly the same maths.

=25

6 0

3 years ago

Write the equatoin of a graph that has Roots of x={-2,0,4} and has a point of (-1,10)

zheka24 [161]

Step-by-step explanation:

to have "roots" means that the function delivers 0 as function result for these values of x.

so,

f(x) = 0 for x = -2, x = 0 and x = 4

we can build this function as a product of factors.

each factor is an expression of x that turns 0 for the given value of x.

what is the simplest expression of x that turns 0, when x = -2 ?

well : x + 2

as you can easily see, this is 0, when x = -2.

and the easiest existing of x that is 0, when x = 0 ?

totally simple : just x.

and then x - 4 for x = 4

so, our function is

f(x) = x(x + 2)(x - 4)

but : this is one of infinite possibilities.

let's see what happens, if we use the x coordinate (-1) of the given point (-1, 10).

we know, the result must be 10.

-1×(-1 + 2)(-1 - 4) = -1×1×-5 = 5

aha ! so, in order to get 10 instead of just 5 we must multiply the whole thing by 2.

as n×0 is always still 0, this does not change our 0 points (or roots).

so, our full function is :

f(x) = 2x(x + 2)(x - 4)

or, if you need the function as a polynomial, we need to do the multiplications :

f(x) = 2x(x² - 4x + 2x - 8) = 2x(x² - 2x - 8) = 2x³ - 4x² - 16x

3 0

2 years ago

A contractor claims that she finishes a job on time 90%

Elina [12.6K]

Answer:

yesssiriytrewqsdfgh

Step-by-step explanation:

(1, 2), (2, 4), (3, 8), (4, 16)

Use a recursive formula to determine the time she will complete station 5. Show your work.

Geometric Recursive Formula

f(n) = f(n − 1) • r

7 0

2 years ago