the height and age of each child in a random sample of children was recorded. the value of the correlation coefficient between height and age for the children in the sample was 0.80.8. based on the least-squares regression line created from the data to predict the height of a child based on age, which of the following is a correct statement?
The correct statement is C.) The proportion of the variation in height that is explained by a regression on age is 0.64.
How can the correct statement be determined?The coefficient of determination (R2), which ranges from 0 to 1, expresses how accurately a statistical model forecasts a result.
The correlation Coefficient R = 0.8, which demonstrates the strong correlation between children's age and height. With the correlation coefficient value, we can calculate the coefficient of determination (R2), which indicates the proportion of variation that the regression model can account for.
Coefficient of determination \((R^{2} ) = 0.8^{2}\)
= 0.64.
0.64 of the variation in children's height that can be attributed to age and 0.36 to other factors.
Learn more about regression at:
https://brainly.com/question/25987747
#SPJ4
missing Options :
A.) On average, the height of a child is 80% of the age of the child.
B.) The least-squares regression line of height versus age will have a slope of 0.8.
C.) The proportion of the variation in height that is explained by a regression on age is 0.64.
D.) The least-squares regression line will correctly predict height based on age 80% of the time.
E.) The least-squares regression line will correctly predict height based on age 64% of the time.
uke has blue and red balls. Every day, he wins 2 blue balls and loses 3 red ones. After 5 days, he has the same amount of blue as red. After 9 days, he has twice as many blues as reds. How many red balls did he have at the beginning? Question not Showing?
A. The number of red balls he had was 8 at the beginning.
Duke's starting red ball total can be found by setting up a system of equations. First, let x represent the number of red balls and y represent the number of blue balls.
After 5 days, the equation is x-15=y+10. This equation states that after 5 days, the number of red balls (x) minus 15 will equal the number of blue balls (y) plus 10. After 9 days, the equation is x-27=2y+20.
This equation states that after 9 days, the number of red balls (x) minus 27 will equal twice the number of blue balls (y) plus 20. To solve for x, both equations can be set equal to each other and solved. This results in x=8. Therefore, Duke had 8 red balls at the beginning.
For more questions like Equation click the link below:
https://brainly.com/question/29657992
#SPJ4
A carnival game is designed so that approximately 10% of players will win a large prize. If there is evidence that the percentage differs significantly from this target, then adjustments will be made to the game. To investigate, a random sample of 100 players is selected from the large population of all players. Of these players, 19 win a large prize. The question of interest is whether the data provide convincing evidence that the true proportion of players who win this game differs from 0.10. Are the conditions for inference met for conducting a z-test for one proportion?
Yes, the random, 10%, and large counts conditions are all met.
No, the random condition is not met.
No, the 10% condition is not met.
No, the large counts condition is not met.
answer is A
We can proceed with conducting a z-test for one proportion to test whether the true proportion of players who win the game differs from 0.10.
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
Yes, the conditions for inference are met for conducting a z-test for one proportion.
The random condition is met because the sample is chosen randomly from the large population of all players.
The 10% condition is also met since the sample size (100) is less than 10% of the entire population.
The large counts condition is met because both np and n(1-p) are greater than or equal to 10, where n is the sample size and p is the hypothesized proportion of players who win the game. In this case, np = 100 * 0.1 = 10 and n(1-p) = 100 * 0.9 = 90.
Therefore, we can proceed with conducting a z-test for one proportion to test whether the true proportion of players who win the game differs from 0.10.
To learn more about Algebraic expression from given link.
brainly.com/question/953809
#SPJ1
What is the relationship between the age and the power of eyesight
The relation is
Moderate and negativeFill in the blank with a number to make the expression a perfect square.
2
V
8v
2
+
x 5
?
Answer:
16
Step-by-step explanation:
Substituting 16 will make the expression valid and correct since the square of -4 is 16 and the addition of it is -8.
\(v^2-8v+16=(v-4)^2\)
The circumference of a circle is 14 π π cm. Find its radius, in centimeters
Answer:
7 = r
Step-by-step explanation:
The circumference of a circle is given by
C = 2 * pi *r
14 pi = 2 * pi *r
Divide each side by 2 pi
14 pi/ (2 pi) = 2 * pi *r / (2 pi)
7 = r
vocabulary finding distances using similar triangles is called ?(indirect measurement or scale drawing)
The process of finding distances using similar triangles is called "indirect measurement." This technique is commonly used in fields such as engineering, architecture, and surveying.
Indirect measurement involves creating a scale drawing of the object or space in question, using known dimensions and ratios to create a proportional representation. This drawing is then used to create similar triangles, which can be used to calculate distances and other measurements.
For example, if you want to measure the height of a building, you can create a scale drawing of the building and its surroundings, and use trigonometry to calculate the height of the building based on the length of its shadow and the angle of the sun.
Indirect measurement can be a powerful tool for solving complex problems and making accurate measurements in situations where direct measurement is not possible. However, it does require a strong understanding of geometry and mathematical concepts, as well as careful attention to detail and accuracy in creating the scale drawing.
To learn more about measurement click on,
https://brainly.com/question/28989312
#SPJ4
Please answer number 4
Needed by Sunday and asap
Please include an explanation if possible
it is possible to have a highly reliable measure of a concept that is at the same time not valid.
It is possible for a measure to be highly reliable but not valid.
How to find if it is possible to have a highly reliable measure of a concept that is at the same time not valid?Reliability refers to the consistency and stability of measurements, indicating that the measure produces consistent results over multiple administrations or across different raters.
On the other hand, validity refers to the extent to which a measure accurately assesses the intended construct or concept.
A measure can be reliable if it consistently produces the same results, even if those results do not accurately reflect the concept being measured.
For example, if a thermometer consistently shows a temperature reading that is consistently 5 degrees higher than the actual temperature, it is reliable (consistent) but not valid (accurate).
In research, it is crucial to strive for measures that are both reliable and valid to ensure accurate and meaningful results.
However, it is important to recognize that reliability and validity are separate properties, and a measure can have one without the other.
Learn more about relationship between reliability and validity
brainly.com/question/30790595
#SPJ11
Whoever answers correctly gets 100 points and brainlest
Enter the missing numbers in the boxes to complete the table of equivalent ratios.
Time (month) Amount Saved ($)
3 ?
5 60
? 72
10 ?
For 1st row
3/x=5/603/x=1/12x=36For 3 Rd row
x/72=1/12x=6For last row
10/x=1/12x=10(12)x=120Answer:
The only complete ordered pair in the given table is:
5 months → $60 saved
Therefore, to determine the relationship between the variables, divide the amount saved by the number of months:
\(\implies \sf \dfrac{Amount\:saved}{Number\:of\:months}=\dfrac{\$60}{5}=\$12\)
So we can assume that $12 is saved each month.
To complete the table:
Multiply the given number of months by $12 to determine the amount saved.Divide the given amount saved by $12 to determine the number of months.⇒ 3 × $12 = $36
⇒ $72 ÷ $12 = 6
⇒ 10 × $12 = $120
Completed table:
\(\large\begin{array}{| c | c |}\cline{1-2} \sf Times\:(month) & \sf Amount\:Saved\: (\$) \\\cline{1-2} 3 & 36 \\\cline{1-2} 5 & 60 \\\cline{1-2} 6 & 72 \\\cline{1-2} 10 & 120 \\\cline{1-2} \end{array}\)
Name 2-3 types of retirement accounts and explain what they are.
Some examples of he most common types of retirement accounts are:
401(k) andSEP IRA.What is the 401 (k) Retirement Plan?
The 401 (k) is a type of requirement plan that allows employees to contribute a percentage of their wages to individual accounts. Some of it's features are:
The contributions to this account is tax freeprovides the contributor with early access to their moneyIt allows the contributors to contribute up to $18,500 for those under the age of 50 and $24,500 for those above the age of 50.With the 401K, there is a matching contribution from the employer by at least 90% of employers.Taxes on investments are defferred until retirements.The term 401(k) is derived from the section of the US Internal Revenue Code that established the 401(k) retirement plan.
What is the SEP IRA?
SEP is the accronym for Simplified Employee Pension. SEP IRA is a retirement savings plan a sort of domesticated plan that employers created to the advantage of themselves and their employees.
The advantages of the SEP IRA are:
Learn more about Retirement Plans at:
https://brainly.com/question/2908111
I need help with number 16 can I please get help?
We will break apart the figure into triangles, rectangles, squares etc. We will then find area of each individual figure and sum it.
We can break apart the figure as shown below:
Running at a constant rate, Miguel ran 12 miles in a time of 120 minutes. How many minutes does it take Miguel to run 6 miles?
Answer:
60 min
Step-by-step explanation:
120 divided by 2= 60
i feel absolutely unintelligent and cannot get past this assignment. all my friends finished school but im not done yet. can someone help me please!
Step-by-step explanation:
Probability of A is 10 + 5 =15
Probability of B is 9 + 5 ( but you already counted the '5')
so just count 9
9+ 15 = 24
this is 24 out of 16 + 10 + 5 + 9 = 40
or 24/40 which reduces to 3/5 or .6 or 60%
Using the equation given:
P(A) + P(B) - P(A and B)
15 + 14 - 5 = 24 this is out of the entire number 40
24/40 = same as above
HELP ME OMG BEFORE I K.MS
If a line containing these points is plotted on a coordinate plane what should the graph look like (brainliest)
Answer: OPTION 3 i think sorry
and please dont kus
Step-by-step explanation:
what is the graph function f(x) = x^3 +9x^2 +2x -48?
Answer:
y=9x^2+2x-48
Step-by-step explanation:
If f(x)=2x+6. And f(x)=12. What does x=__
Answer:
x=3
Step-by-step explanation:
f(x)=2x+6
f(x)=12
Hence:
2x+6=12
2x+6-6=12-6
2x=6
x=6/2
x=3
Find the slope of the line shown on the graph to the right.
Answer:
The slope would be 4/5.
a 17 feet ladder is placed against a building. the bottom of the ladder is sliding away from the building at a rate of 5 feet per second. find the rate at which the top of the ladder is slipping down at the instant when the bottom of the ladder is 15 feet from the base of the building.
The rate at which the top of the ladder is slipping down at the instant when the bottom of the ladder is 15 feet from the base of the building is -75/8 feet per second
The length of the ladder = 17
Consider the length of the base as x and the height is h
The rate at which the ladder is sliding = 5 feet per second
dx/dt = 5
Apply the Pythagorean theorem
x^2 + h^2 = 17^2
h^2 = 289 - x^2
h = \(\sqrt{289-x^2}\)
The rate of change of height with respect to x is
dh/dx = - x / (289 - x^2)^(1/2)
dh/dt = dh/dx × dx/dt
Substitute the values in the equation
= - 15 / (289 - 15^2)^(1/2) × 5
= -15/8 × 5
= -75/8 feet per second
Therefore, the rate of change of height when x = 15 is -75/8 feet per second
Learn more about rate of change here
brainly.com/question/29518179
#SPJ4
What is the area of the figure shown?
Answer:
41
Step-by-step explanation:
A = LW + (1/2)bh
A = 7 m × 5 m + (1/2)(3 m)(4 m)
A = 35 m² + 6 m²
A = 41 m²
Simplify the expression: (3 − 4i) + (7 − 6i). 4 − 2i 4 − 10i 13 − 2i 10 − 10i
Equivalent expressions are expressions of equal values
The simplified expression of (3 - 4i) + (7 - 6i) is \(10- 10i\)
The expression is given as:
\((3 - 4i) + (7 - 6i)\)
Remove brackets in the above expression
\(3 - 4i + 7 - 6i\)
Rewrite the expression by collecting the like terms
\(3 + 7- 4i - 6i\)
Next, evaluate the like terms
\(10- 10i\)
Hence, the simplified expression of (3 - 4i) + (7 - 6i) is \(10- 10i\)
Read more about equivalent expressions at:
https://brainly.com/question/2972832
A total of 714 tickets were sold for the school play. They were either adult tickets or student tickets. There were 64 more
student tickets sold than adult tickets. How many adult tickets were sold?
Answer:
714 is the total number that is sold, if there is 64 more tickets sold for students then adults, then do 714 divided by 2 and add 32 to get the number for students, and for adults do 714 divided by 2 and subtract by 32. so, like this 714/2+32=389 tickets for students and 714/2-32=325 for adults. Hope this helps
Answer:
The adult tickets total were 293
Step-by-step explanation:
714 divided by 2 ( because there is only 2 types of tickets ) and 714 divided by 2 equals 357 ad because the student tickets sold better 357 minus 64 = 293 and you prove that by multyplying 357 x 2 = 714
your welcome :)
Write the product as a power.
10 X 10 X 10 =
Answer:
10^3
Step-by-step explanation:
Answer:
10^3
Step-by-step explanation:
count how many 10s are there and that is the answer
(there are 3 tens so put the power as 3)
To check 10 X 10 X 10 is 1000
10^3 is 1000
A crew is shingling a roof. They complete 6.8 square feet every hour. How many square feet will they complete in 12 ½ hours of work?
Answer:
85 square feet
Step-by-step explanation:
what we know: complete 6.8 square feet every hour
what we want to know: how much square feet will be compeletein 12 1/2 hours?
12 1/2 is 12.5
6.8 square feet time 12.5 hours gives you 85 square feet :)
Simplify (2sqrt5-4)(3sqrt5+2)
Answer:
the answer is D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
ANY EXPLANATIONS? I'D BE READY TO HELP.
Diseases tend to spread according to the exponential growth
model. In the early days of AIDS, the growth factor (i.e. common
ratio; growth multiplier) was around 1.7. In 1983, about 1000
people in the U.S. died of AIDS. If the trend had continued
unchecked, how many people would have died from AIDS in 2007?
(Round your answer to the ones place value.)
people
If the trend had continued unchecked, the number of people which would have died from AIDS in 2007 will be: 339,448,671 people.
What is the use of exponential growth?Exponential growth is the process by which quantity increases over time. It happens when the instantaneous rate of change of a quantity with respect to time is proportional to the quantity itself. A quantity undergoing exponential growth is an exponential function of time, which means that the variable representing time is the exponent (in contrast to other types of growth, such as quadratic growth).
The basic exponential growth function is: f(t) = a·bt
f (t) = number of cases at year t
a = starting value = 1000 in 1983
b = growth factor = 1.7
t = years since 1983 = 2007 - 1983 = 24
f(t) = 1000·(1.7)^24
f(t) = 339448671.315
f(t) = 339,448,671
Read more about exponential growth
brainly.com/question/13223520
#SPJ1
4th term
c(n) = -7 + 6(n - 1 )
Which equation gives the line shown on the graph? 9 y = 2x + 4 10 9 ON y = 2x – 4 y y= 4x + 4 5 1 NEN 3 Y= - 12 - 4 2 1 012 3 4 5 6 7 8 9 10
Answer:
A
Step-by-step explanation:
I think though im not sure
What is the factorization of the trinomial below?
2x2 + 11x + 12
O A. (2x + 1)(x+12)
O B. (2x+3)(x + 4)
O C. (2x + 4)(x+3)
O D. (2x+6)(x + 2)
Answer:
O B. (2x+3)(x + 4)
Step-by-step explanation:
\(2x^{2} +11x+12\)
\(2x^{2} +8x+3x+12\)
\(2x(x+4)+3(x+4)\)
\((2x+3)(x+4)\)
A number cube is tossed 60 times. outcome frequency 1 12 2 13 3 11 4 6 5 10 6 8 determine the experimental probability of landing on a number greater than 4.
The experimental probability of landing on a number greater than 4 is 0.25 or 25%.
To find this probability, we need to determine the number of successful outcomes (landing on a number greater than 4) and divide that by the total number of trials (60).
The successful outcomes are 5 and 6, with a frequency of 10 and 8 respectively. To add these two frequencies together, we can use 10 + 8 = 18.
So, the experimental probability is 18/60 = 0.3 or 25%.
It's important to note that experimental probability is based on the outcomes of an experiment or a sample and it may not be the same as a theoretical probability which is based on the ratio of favorable outcomes to the total number of outcomes in a theoretical model.
For more questions like Probability click the link below:
https://brainly.com/question/30034780
#SPJ4
the answer in fraction form is 18/60
if thats what you are looking for.