Answer:
Step-by-step explanation:
The average rate of change in the value of the account for the first 3 years
is $1.58.
What is an exponential function?When the independent variable is in the power of some function we call them an exponential function, For example, [tex]e^x[/tex] is an exponential function.
Given, The value of the account, in dollars, can be modeled as
[tex]V(t) = 30(1.05)^t[/tex].
Now at t = 3 or after 3 years, it is [tex]V(t) = 30(1.05)^3[/tex].
V(3) = $34.73 and he initially deposited $30.
So, The average rate of change is $(34.73 - 30)/3 = $(4.73)/3 = $1.58.
learn more about exponential function here :
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The perimeter of a square is given as 12x plus 20 write two different expressions to represent its perimeter for one way factors the expression using the gcf
A survey was conducted to determine how many movies were seen in one month among the 26 students in Mrs. Hampton’s sixth-grade class. The results are shown in the dot plot below.
a) Calculate the measures of center for the data in the dot plot, rounding your answers to the nearest tenths place. Show how you determined your answer. (2 points)
Answer:
in the question,there is no dot plot
What is the slope of the line ?(khan academy)
Answer:
The slope of the line is 2.
Step-by-step explanation:
Slope of a line:
Suppose that we have two points. The slope of the line is given by the change in y divided by the change in x.
In this question:
Points (0,0) and (1,2)
Change in y: 2 - 0 = 2
Change in x: 1 - 0 = 1
Slope: [tex]m = \frac{2}{1} = 2[/tex]
The slope of the line is 2.
Which pair of angles are complementary? 2 points Option 1 O Option 2 O Option 3 O Option 4
Answer:
option 4, complementary angles total 90°
Step-by-step explanation:
There are 12 pieces of candy in a bowl. 6 are mints, 4 are Butterscotch, and 2 are Cinnamon.
What is the probability of Mr. Binder pulling
Butterscotch from the bowl, putting it back, and
then choosing mint? P(Butterscotch, then mint)
Answer:
1/6
Step-by-step explanation:
total = 12
number of butterscotch = 4
number of mint = 6
Since he replaces the mint, these events are independent events.
p(butterscotch, then mint) = p(butterscotch) * p(mint)
p(event) = (number of desired outcomes)/(total number of outcomes)
p(butterscotch) = 4/12 = 1/3
p(mint) = 6/12 = 1/2
p(butterscotch, then mint) = p(butterscotch) * p(mint)
p(butterscotch, then mint) = 1/3 * 1/2
p(butterscotch, then mint) = 1/6
Answer: 1/6
A news article estimated that only 4% of those age 65 and older who prefer to watch the news, rather than to read or listen, watch the news online. This estimate was based on a survey of a large sample of adult Americans. Consider the population consisting of all adult Americans age 65 and older who prefer to watch the news, and suppose that for this population the actual proportion who prefer to watch online is 0.04. (a) A random sample of n = 100 people will be selected from this population and p, the proportion of people who prefer to watch online, will be calculated. What are the mean and standard deviation of the sampling distribution of p? (Round your standard deviation to four decimal places.) mean 0.04 standard deviation 0.0196 (b) Is the sampling distribution of p approximately normal for random samples of size n = 100? Explain. The sampling distribution of p is approximately normal because np is less than 10. O The sampling distribution of p is approximately normal because np is at least 10. The sampling distribution of p is not approximately normal because np is less than 10. The sampling distribution of p is not approximately normal because np is at least 10. The sampling distribution of is not approximately normal because n(1-P) is less than 10. (c) Suppose that the sample size is n = 400 rather than n = 100. What are the values for the mean and standard deviation when n = 400? (Round your standard deviation to four decimal places.) mean 0.03 standard deviation 0.0085 Does the change in sample size affect the mean and standard deviation of the sampling distribution of ? If not, explain why not. (Select all that apply.) 2 When the sample size increases, the mean increases. When the sample size increases, the mean decreases. When the sample size increases, the mean stays the same. The sampling distribution is always centered at the population mean, regardless of sample size. When the sample size increases, the standard deviation increases. When the sample size increases, the standard deviation decreases When the sample size increase the standard deviation stays the same. The standard deviation of the sampling distribution is always the same as the standard deviation of the population distribution regardless of sample size. Suppose that the sample size is n = 400 rather than n = 100. What are the values for the mean and standard deviation when n = 400? (Round your standard deviation to four decimal places.) mean 0.03 standard deviation 0.0085 Does the change in sample size affect the mean and standard deviation of the sampling distribution of p? If not, explain why not. (Select all that apply.) When the sample size increases, the mean increases. When the sample size increases, the mean decreases. When the sample size increases, the mean stays the same. The sampling distribution is always centered at the population mean, regardless of sample size. When the sample size increases, the standard deviation increases. When the sample size increases, the standard deviation decreases. When the sample size increases, the standard deviation stays the same. The standard deviation of the sampling distribution is always the same as the standard deviation of the population distribution, regardless of sample size. (d) is the sampling distribution of p approximately normal for random samples of size n = 400? Explain. The sampling distribution of p is approximately normal because np and n(1 - p) are both at least 10. The sampling distribution of p is approximately normal because np and n(1 - 0) are both less than 10. The sampling distribution of p is not approximately normal because np and n(i - p) are both at least 10. • The sampling distribution of p is not approximately normal because np and n(1-P) are both less than 10. The sampling distribution of p is not approximately normal because only np is at least 10.
Answer:
(a) The mean is 0.04
The standard deviation is approximately 0.0196
(b) The sampling distribution of p is not approximately normal because n·p is less than 10
(c) Given that n = 400, we have;
i) The mean is 0.04
The standard deviation is approximately 0.0098
ii) The sampling distribution is always centered at the population mean, regardless of the sample size
iii) When the sample size increases, the standard deviation decreases
(d) The sampling distribution of p is approximately normal because n·p and n·(1 - p) are both at least 10
Step-by-step explanation:
(a) From the question, we have that the actual proportion of all adult Americans who watch online = 0.04
Given that the sample size, 'n' is 100 which is larger than 30, we can assume that the distribution of the sample mean is normal
Therefore, the mean (proportion) of the sample, P = The mean (proportion) of the population = 0.04
The mean, P = 0.04
The standard deviation, σ = √((p·(1 - p))/n)
∴ σ = √((0.04·(1 - 0.04))/100) ≈ 0.0196
(b) The sampling of p is approximately normal, given that the sample size, 'n' = 100 which is randomly selected from the population, we have;
The sampling distribution = n·p = 100 × 0.04 = 4 <10
Therefore, the sample is not approximately normal because the sampling distribution, n·p = 4 which is less than 10
c) Given that n = 400, we have;
p = 0.04 = The [population mean
The standard deviation, σ √((0.04·(1 - 0.04))/400) ≈ 0.0098
According to the central limit theorem when the sample size increases, the mean approaches the population mean, therefore, the sampling distribution is always centered at the population mean, regardless of the sample size
When the sample size increases, the standard deviation decreases
(d) Given that when the sample size, n = 400, we have;
n·p = 400 × 0.04 = 16 > 10
Similarly, we have;
n·(1 - p) = 400 × (1 - 0.04) = 384 > 10
The sample is approximately normal
Therefore, the sampling distribution of p is approximately normal because np and n(1 - p) are both at least 10
The radio of boys to girls at a middle school is 3 : 2 what is the ratio of girls to all students.
Answer:
2:5
Step-by-step explanation:
because the total students are 5 and just girls are 2
also u wrote radio but i think its ratio
pls mark brainlest let me know if u got it right?
What is the answer to questions 5 + 3? Please answer due midnight.
Answer: 8
Step-by-step explanation: np:)
10 exponent 2 + (6-3) + ( 4x9) =
Answer:
10 exponent 2 + (6-3) + (4x9) = 139
Step-by-step explanation:
What is the volume, in cubic in, of a rectangular prism with a height of 11in, a width
of 15in, and a length of 2in?
[tex]330in^{3}[/tex]
I'm pretty sure that's the answer
DO WHATEVER YOU CAN TO HELP ME
Answer:A,C,D
Step-by-step explanation:
Answer:
A, C, D
Step-by-step explanation:
4-1=3 (correct)1+4=6 (incorrect)3x4=12 (correct)20÷5=4 (correct)3-4=1 (incorrect)simplist form for 15/25
Answer:
15/25 = 3/5
Step-by-step explanation:
The simplest form of 1525 is 35.
have a good day
may i please have a brianlliest
thank you
Answer: 3/5
Explanation: Dividing both 15 and 25 by 5 gives you 3 and 5; 3/5.
2.
Sal paid $3 to enter the fair and bought 10 tickets for rides. Write an algebraic
expression to tell how much money she spent. Let r= the cost of
Find the slope of the line that passes through (1, -19) and (-2, -7)
Answer:
y = -4x-15
Step-by-step explanation:
y = ax+b
-19=a+b
-7=-2a+b
==> a = -4
b = -15
Add:
19 + 24 + 38
O A. 43
OB. 81
O C. 62
O D. 61
On a piece of paper, graph y< 2x+2. Then determine which answer choice
matches the graph you drew.
А
B
С
D
(0,2)
(0.2
(0.2)
(0,2)
1.4.1)
1.4.1
(1.4.1)
(4-1)
A. Graph A.
B. Graph B
ОО O
C. Graph C
D. Graph D
Answer:
graph A
Step-by-step explanation:
because 2x+2,x ...-1
so it is lies in graph A
Which is the equation for the line that has a slope of 12 and passes through the point (3, 20)?
Answer:
y=12x-16
Step-by-step explanation:
y-y1=m(x-x1)
y-20=12(x-3)
y=12x-36+20
y=12x-16
Favorite Book Types
What is the missing value of the circle graph? *
(10 Points)
3%
Romance
x х
Comedy
16%
Fantasy
14%
Science
Fiction
18%
Mystery
10%
Historical
Fiction
61%
O 39%
12%
O 15%
Answer:
39
Step-by-step explanation:
10+18+14+16+3=61
100-61=39
Martin and Clara decide to keep track of the number of different colors in two brands of tennis shoes, brand A and brand B. Their results are represented by the dot plots. The mean absolute deviation for brand A is . The mean absolute deviation for brand B is . The mean absolute deviations for the two brands similar.
The following conclusion is reached concerning the results represented by the dot plots:
The Mean Absolute Deviation for brand A is: 2.02 The Mean Absolute Deviation for brand A is: 1.905 The Mean Absolute Deviation for the two brands ARE similar.What is the Mean Absolute Deviation?The mean absolute deviation is a test of variability of a data set which is the average distance between each of the data point in the data set and the mean.
Find the mean absolute deviation for each dot plots.
Mean Absolute Deviation for Brand A:
The points are, 1,1,2,2,2,3,4,4,5,5,5,5,6,6,7,7,8,8,8,9
Mean = (1 + 1 + 2 + 2 + 2 + 3 + 4 + 4 + 5 + 5 + 5 + 5 + 6 + 6 + 7 + 7 + 8 + 8 + 8 + 9)/20 = 98/20
Mean = 4.9
Mean Absolute Deviation = [(1 - 4.9) + (1 - 4.9) + (2 - 4.9) + (2 - 4.9) + (2 - 4.9) + (3 - 4.9) + (4 - 4.9) + (4 - 4.9) + (5 - 4.9) + (5 - 4.9) + (5 - 4.9) + (5 - 4.9) + (6 - 4.9) + (6 - 4.9) + (7 - 4.9) + (7 - 4.9) + (8 - 4.9) + (8 - 4.9) + (8 - 4.9) + (9 - 4.9)] / 20
= [(3.9) + (3.9) + (2.9) + (2.9) + (2.9) + (1.9) + (0.9) + (0.9) + (0.1) + (0.1) + (0.1) + (0.1) + (1.1) + (1.1) + (2.1) + (2.1) + (3.1) + (3.1) + (3.1) + (4.1)] / 20
= 40.4/20
Mean Absolute Deviation for brand A = 2.02
Mean Absolute Deviation for Brand B:
The points are, 1,3,3,4,4,4,4,4,5,5,5,6,6,6,6,8,8,9,10,10
Mean = (1 + 3 + 3 + 4 + 4 + 4 + 4 + 4 + 5 + 5 + 5 + 6 + 6 + 6 + 6 + 8 + 8 + 9 + 10 + 10)/20
Mean = 111/20 = 5.55
Mean Absolute Deviation = [(1 - 5.55) + (3 - 5.55) + (3 - 5.55) + (4 - 5.55) + (4 - 5.55) + (4 - 5.55) + (4 - 5.55) + (4 - 5.55) + (5 - 5.55) + (5 - 5.55) + (5 - 5.55) + (6 - 5.55) + (6 - 5.55) + (6 - 5.55) + (6 - 5.55) + (8 - 5.55) + (8 - 5.55) + (9 - 5.55) + (10 - 5.55) + (10 - 5.55)] / 20
Mean Absolute Deviation = 38.1/20
Mean Absolute Deviation for brand B = 1.905
Therefore, the following conclusion is reached concerning the results represented by the dot plots:
The Mean Absolute Deviation for brand A is: 2.02 The Mean Absolute Deviation for brand A is: 1.905 The Mean Absolute Deviation for the two brands ARE similar.Learn more about mean absolute deviation on:
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Find the area of the rectangle 2 1/4 1 1/2
Answer:
3 3/8
I converted the fractions in to decimals, multiplied them and then converted the decimal into a fraction.
You bought a pair of jeans for $11.25 that was originally $45.00. In terms of percent, what discount did you get on the shirt?
Answer:
45/11.25 is 4.
4*25=100
This tells us that the jeans are discounted at 75%.
can you guys please answer this
Answer:
Just multiply 9.6*4.9 which is 47.04 m^2.
You can basically cut the shape in half, then put the shapes back together to look like a rectangle. The area formula is bh, or 9.6*4.9. Ignore the 11 m.
5th grade math. Correct answer will be marked brainliest:
Answer:
(6,6)
Step-by-step explanation:
Answer:
(6,6)
Step-by-step explanation:
hope this helps have a great day.
which height is greater : -20 m or 4 m
Answer:
4 m
Step-by-step explanation:
hope you have a great day
f(x) = -2x^2-4x+11
in the standard form
f(x) = a(x – h)^2+k
Step-by-step explanation:
f(x) = -2x^2-4x+11
y = -2(x+1)²+13
Use the vertex form, y=a(x−h)²+k, to determine the values of a, h, and k.
a= -2
h= 1
k= 13
Final answer is, f(x) = -2(x - 1)² + 13
Answer:
f(x) = - 2(x + 1)² + 13
Step-by-step explanation:
f(x) = - 2x² - 4x + 11
f(x) = a(x - h)² + k
a = - 2, b = - 4, c = 11
h = - [tex]\frac{b}{2a}[/tex]
h = - [tex]\frac{-4}{2(-2)}[/tex] = - 1
k = - 2( - 1)² - 4( - 1) + 11 = 13
f(x) = - 2(x + 1)² + 13
I got 10 but can someone make sure because I want to get a 100
Answer:
i think 10
Step-by-step explanation:
A circle has a diameter of 24 cm. Which expression
could represent the area of this circle in square cm?
Which statement describes the solution to this system of equations?
2x – 4y = 8
8x - 16y = 32
А
There is exactly one solution, (2,4)
B
There is exactly one solution, (8,32)
ОООО
с
There is no solution to the system of equations
D
There is an infinite number of solutions to the system of equations.
9514 1404 393
Answer:
D There is an infinite number of solutions to the system of equations
Step-by-step explanation:
When you put the first equation in standard form by dividing it by 2, you get ...
x -2y = 4
When you put the second equation in standard form by dividing it by 8, you get ...
x -2y = 4
These are the same equation, so describe the same line. There are an infinite number of (x, y) pairs that will satisfy this equation.
There is an infinite number of solutions.
me ajudem por favor
preciso muito da resposta
Answer:
kqnzjqbdoybqdihbwpdihvwñxvhuñwxvex
3. What is the radius, in centimeters, of a circle that has a circumference of 16 centimeters?
Answer:
r=2.55cm
Step-by-step explanation: