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3 years ago

Please help!!! I need an answer!!!!

Mathematics

1 answer:

Nataly [62]3 years ago

6 0

Section A:

3*2^1 = 6

3*2^2=12

12-6 = 6

rate of change = 6

SECTION B:

3*2^3 = 24

3*2^4 = 48

48-24 = 24

rate of change = 24

Part B 24/6 = 4 ( Section B is 4 times greater) because the equation is raised to the x power the lager the x value the greater the rate of change would be

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3 years ago

Read 2 more answers

Wayne's service center operates a welding shop. Assume that the arrival of jobs follows a Poisson distribution with 2 jobs arriv

Reika [66]

Answer:

a) 0.3125 per hour

b) 2.225 hours

c) 8.9 hours

d) 12.1 hours

e) 80%

Step-by-step explanation:

Given that:

mean time = 3.2 hours, standard deviation (σ) = 2 hours

The mean service rate in jobs per hour (λ) = 2 jobs/ 8 hour = 0.25 job/hour

a) The average number of jobs waiting for service (μ)= 1/ mean time = 1/ 3.2 = 0.3125 per hour

b) The average time a job waits before the welder can begin working on it (L) is given by:

$L=\frac{\lambda^2\sigma^2+(\lambda/\mu)^2}{2(1-\lambda/\mu))} =\frac{0.25^2*0.2^2+(0.25/0.3125)^2}{2(1-0.25/0.3125)}=2.225\ hours$

c) The average number of hours between when a job is received and when it is completed (Wq) is given as:

$W_q=\frac{L}{\lambda}=2.225/0.25=8.9\ hours$

d) The average number of hours between when a job is received and when it is completed (W) is given as:

$W=W_q+\frac{1}{\mu} =8.9+\frac{1}{0.3125}=12.1 \ hours$

e) Percentage of the time is Gubser's welder busy (P) is given as:

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4 0

3 years ago

A soccer ball is kicked from ground level. The function y = -12x (x - 6) shows the height in feet) of the

enot [183]

Answer:

6 seconds

Step-by-step explanation:

Given

y = - 12x(x - 6)

When the ball hits the ground then height of ball is zero

let y = 0 , that is

- 12x(x - 6) = 0

Equate each factor to zero and solve for x

- 12x = 0 ⇒ x = 0 ← when ball is first kicked

x - 6 = 0 ⇒ x = 6 ← when the ball hits the ground.

The ball hits the ground after 6 seconds

8 0

3 years ago

According to the World Health Organization (WHO) Child Growth Standards, the head circumference for boys at birth is normally di

Elena L [17]

Answer:

$z = \frac{X -\mu}{\sigma}$

This z score tell to us how many deviations we are below or above the mean for a given normal distribution.

For the case of Eddie we got:

$z= \frac{33.2-34.5}{1.3}= -1$

And for the case of Sue we got:

$z = \frac{32.7-33.9}{1.2}= -1$

So then for both cases we see that Eddie and Sue are 1 deviation below the true mean for each gender so then the best conclusion for this case would be:

C.They are the same size relative to other children of the same sex.

Step-by-step explanation:

We can define the random variable X as the head circumference for boys at birth and we know that the distribution for X is given by:

$X\sim N(\mu = 34.5, \sigma=1.3)$

Similarly we can define the random variable Y as the head circumference for boys at birth and we know that the distribution for Y is given by:

$Y\sim N(\mu = 33.9, \sigma=1.2)$

And we know that Eddie was born with 33.2 cm and Sue with 32.7 cm for the head circumference . Since we are interested to determine which child's head circumference is smaller relative to other children of the same sex, we can use the z score formula given by this formula:

$z = \frac{X -\mu}{\sigma}$

This z score tell to us how many deviations we are below or above the mean for a given normal distribution.

For the case of Eddie we got:

$z= \frac{33.2-34.5}{1.3}= -1$

And for the case of Sue we got:

$z = \frac{32.7-33.9}{1.2}= -1$

So then for both cases we see that Eddie and Sue are 1 deviation below the true mean for each gender so then the best conclusion for this case would be:

C.They are the same size relative to other children of the same sex.

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3 years ago