1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
SSSSS [86.1K]
2 years ago
10

Given the following exponential function, identify whether the change represents

Mathematics
1 answer:
rewona [7]2 years ago
6 0

For the given exponential function, the change represents a growth  and the percentage rate is 0.3%.

<h3>Exponential Function</h3>

The formula for the exponential function is:

y(t)=y(0)*(1+R)^t, where:

y(t)= final value

yo=initial value

R=rate

t= time

When 1+R  > 1, the equation represents growth, while 1+R < 1 the equation represents decay.

The question gives:  y=30*(1.003)^x.

When you compare y=30*(1.003)^xwith y(t)=y(0)*(1+R)^t, it is possible to see:

1. 1+R=1.003, so >1 . Therefore, the change represents growth.

2. 1+R=1.003 , therefore,

                           1.003=1+R

                          R=1.003-1

                          R=0.003

                          then,

                       

                         %R=0.003*100=0.3%

                         

Read more about the exponential function here:

brainly.com/question/8935549

You might be interested in
A shipping tube is shaped like a triangular prism. The bases are equilateral triangles with edges of 5 inches and a height of 4.
zimovet [89]

Answer:

there is the thing you need to answer the question right

Step-by-step explanation:

4 0
3 years ago
Plzzz help I need help so bad
irinina [24]
The answer is A because both numbers can be divided by 6 to get 5 : 9
5 0
3 years ago
Read 2 more answers
Find the sum or difference. 1 3/10 + 2 2/5
pychu [463]
The answer is 3 7/10
8 0
2 years ago
Read 2 more answers
The General Social Survey asked the question: "For how many days during the past30 days was your mental health, which includes s
serg [7]

Answer:

a) For this case we can conclude that we are 95% confident that the true mean for the variable of interest is between 3.4 and 4.24 days in the US population.

b) The 95% confident means that if we select 100 different samples and calculate the 95% confidence interval for each sample selected, then we will have approximately 95 out of 100 confidence intervals will contain the true mean for the parameter of interest.

c) If we have the same info but we want more confidence that implies that the confidence interval would be wider, since the margin of error increase with more confidence.

d) Assuming that we have the same confidence level and the value for the deviation not changes. If we see if we decrease the sample size, then the margin of error would be lower since the original sample size was 1151. So then if we use 500 Americans we would have a lower value for the margin of error for this new interval. And then our confidence interval would smaller than the original.  

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}  

For the 95% confidence interval the value of \alpha=1-0.95=0.05 and \alpha/2=0.025, with that value we can find the quantile required for the interval in the normal standard distribution.

z_{\alpha/2}=1.96

The confidence interval after apply the formulas was (3.40 ,4.24)

Part a

For this case we can conclude that we are 95% confident that the true mean for the variable of interest is between 3.4 and 4.24 days in the US population.

Part b

The 95% confident means that if we select 100 different samples and calculate the 95% confidence interval for each sample selected, then we will have approximately 95 out of 100 confidence intervals will contain the true mean for the parameter of interest.

Part c

If we have the same info but we want more confidence that implies that the confidence interval would be wider, since the margin of erroe increase with more confidence, because the critical value increase.

Part d

We need to take in count that the margin of error is given by:

ME=t_{\alpha/2}\frac{s}{\sqrt{n}}

Assuming that we have the same confidence level and the value for the deviation s not changes. If we see if we decrease the sample size, then the margin of error would be lower since the original sample size was 1151. So then if we use 500 Americans we would have a lower value for the margin of error for this new interval. And then our confidence interval would smaller than the original.  

4 0
3 years ago
Find the missing side <br> Find x and y
blagie [28]

Answer:

x=7.5 y y=12.99

Step-by-step explanation:

i will try again if this is wrong

8 0
3 years ago
Other questions:
  • Two f-18s are catapulted off an aircraft carrier and fly on courses that diverge at a 60° angle. if each flies at a constant rat
    11·1 answer
  • Sylvie bought 13 bagels and a container of cream cheese.Each bagel cost the same price.The cream cheese cost $2.95.Sylvie spent
    13·2 answers
  • To shift the graph of an equation a certain number of units _____, you need to subtract that number from the functions equation
    6·2 answers
  • The sum of two numbers is 41. The smaller number is 17 less than the larger number. What are the numbers?
    12·1 answer
  • State if the triangle is each pair are similar
    12·1 answer
  • What's the coefficient in each
    5·1 answer
  • Complete the input-output table for the linear function y = 3x.
    12·1 answer
  • Are the triangles similar?
    15·1 answer
  • An arc of a circle is 3πm long, and it subtends an angle of 72° at the center of the circle. Find the radius of the circle.
    7·1 answer
  • Can anyon help i have no idea
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!