An exponential function is expressed in the form y=axb^x. The relation represents a growth when

The age at which small breed dogs are fully housebroken follows a Normal distribution with mean ms = 6 months and standard devia

atroni [7]

Answer:

This measure is just 0.17 standard deviations from the mean, so we should not be surprised.

Step-by-step explanation:

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

If the z-score is lower than -2, or higher than 2.5, the score of X is considered unusual.

Subtraction of normal variables:

When we subtract normal variables, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

Let xS – xL represent the sampling distribution.

Mean s 6, means L 4. So

$\mu = 6 - 4 = 2$

Standard deviation s is 2.5, for L is 1.5. So

$\sigma = \sqrt{2.5^2+1.5^2} = 2.915$

Should we be surprised if the sample mean housebroken age for the small breed dogs is at least 2.5 months more than the sample mean housebroken age for the large breed dogs? Explain your answer.

We have to find the z-score for X = 2.5. So

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

$Z = \frac{2.5 - 2}{2.915}$

$Z = 0.17$

This measure is just 0.17 standard deviations from the mean, so we should not be surprised.

7 0

2 years ago

Guys help me!<br><br> 1. What is the domain and range? Help plsss!

Valentin [98]

Range is the highest value minus the lowest value

6 0

3 years ago

The function f(x) = 4(4)x represents the growth of a fly population every year in a remote swamp. Jackie wants to manipulate the

Yanka [14]

A growth rate equation has a general form of:

f(x) = P (1 + r)^x

Where,

P = present value

r = rate of growth

x = number of years

If we write the given equation on that form, it would be:

f(x) = 4 (1 + 3)^x

Therefore we can see that the population’s growth rate is 300% per year. To make this formula to an equivalent of three times a year (3x), we have to find the new r.

f(x)_3 = 4 (1 + r)^3x

To calculate this, we must take note that the expression or value of (1 + r)^x must be constant. Therefore equate this with 4^x.

(1 + r)^3x = (4)^x

Taking the logs of both sides:

3x log (1 + r) = x log 4

Cancelling x:

3 log (1 + r) = log 4

3 (1 + r) = 4

1 + r = 4/3

r = 0.33

Therefore the new growth rate is 0.33 or 33%. (ANSWER)

And, the new correct function is:

f(x)_3 = 4 (1 + 0.33)^3x

or

f(x)_3 = 4 (1.33)^3x (ANSWER)

3 0

3 years ago

Read 2 more answers

A consistent, independent system of equations is a system with __________.

Dafna1 [17]

A consistent , independent system of equation is one that has at least one solution.It is independent because it has a single solution.

Step-by-step explanation:

The three types of systems of linear equations in two variables and three types of solutions.

An independent system has exactly one solution pair (x,y). The point of intersection presents the single solution.

An inconsistent system has no solution.such equations will produce two parallel lines with no solution.

A dependent system has infinitely many solution.Such lines are coincident.

Learn More

Equations: brainly.com/question/2595790

Keyword : consistent, independent , equations

#LearnwithBrainly

4 0

3 years ago

A rope, attached to a weight, goes up through a pulley at the ceiling and back down to a worker. The worker holds the rope at th

Mrac [35]

Answer:0.246ft/s

Step-by-step explanation: when the the worker starts moving and stops 10 feets away from lateral rope connecting the load, it forms a right angle triangle as see in the pix.

V = s/t ... equ 1

S= distance traveled by worker while pulling the rope = 10 ft

V = velocity of worker = 2ft/s

T = time taken the worker to move 10 ft = time taken for the load to move up = 5seconds

Use Pythagoras theorem to determine distance from pulley to new position of worker

Square root of (40^2 + 10^2) = 41.23ft

Distance traveled by load = D = 41.23 - 40

=1.23ft

Speed of load = D/ t...equ2

Substituting D and the into equ2

S.l = speed of load = 1.23/5 =0.246ft/s

4 0

3 years ago