The weights of children in the Egyptian village of Nahya were recorded. Here are the mean weights of the 170 children in that village: Age(months) 1 2 3 4 5 6 7 8 9 10 11 12 Weight (kg) 4.3 5.1 5.7 6.3 6.8 7.1 7.2 7.2 7.2 7.2 7.5 7.8 a. Make a scatter plot of mean weight against age. b. Is there a positive or negative association between the two variables
Answers
Answer:
Kindly check explanation and attached picture
Step-by-step explanation:
Given the data:
Age(months) : 1 2 3 4 5 6 7 8 9 10 11 12
Weight (kg) : 4.3 5.1 5.7 6.3 6.8 7.1 7.2 7.2 7.2 7.2 7.5 7.8
a. Make a scatter plot of mean weight against age.
Scatter plot of mean weight against age can be found in the attached picture
b. Is there a positive or negative association between the two variables
There is a positive association between the weight and age variable ; as weight increases as age increases. Also the slope of the best fit line is positive
Related Questions
Presbycusis is the gradual hearing loss that occurs as a person ages. An estimated one-quarter of Americans between the ages of 65 and 75 and three-quarters of those older than 75 have some degree of hearing loss.
An audiologist is interested in the efficacy of three different types of hearing aids. He gathers three groups of hearing-impaired clients: One group receives analog hearing aids, which convert sound waves into amplified electrical signals. The second group receives digital hearing aids, which use directional microphones to control the flow of sound and convert the sound waves into numerical codes before amplifying them. The third group receives cochlear implants. The results come in, and a statistician conducts an analysis of variance.
The _____________ is that there is no difference between the population means (in other words, there is no treatment effect).
The ____________ is that at least one of the population means is different from another (in other words, there is an effect of at least one of the treatments).
Answers
Answer:
The answer is the "Null hypothesis and Alternative hypothesis".
Step-by-step explanation:
The null hypothesis is almost like a hypothesis test, which indicates the certain demographic characteristics which aren't varied.
The alternative presumption will be that the hypothesis besides making predictions is opposite to the void assumption. Its posts are generally taken as a result of a meaningful effect.
Difference:
The null hypothesis is indeed a gross generalization, which specifies there is no relation between different phenomenons under evaluation. There is no association between the two groups. An alternate solution hypothesis is a statement, that defines there is a relation between different chosen variables in this study.
According to the US Bureau of Labor statistics, the average weekly earning of a production worker in 1997 were $424.5. Suppose a labor researcher wants to test to determine whether this figure is still accurate today .The researcher randomly selected 54 production workers from across the United States and obtained a representative earning statement for one week from each. The resulting sample average is $432.69. Assuming population Standard deviation is 33.90. and a 5% level of significance, To determine whether the mean weekly earnings of the production worker have changed.
Required:
To determine whether the mean weekly earnings of the production worker have changed, what would be the value of test statistics?
Answers
Answer:
test statistic is 1.775
Step-by-step explanation:
Bar x = 432.69
Standard deviation sd = 33.90
N = 54 production workers
Null hypothesis:
H0: μ = 424.5
Alternate hypothesis
H1: μ not equal to 424.5
Test statistic
= 432.69-424.5/sd/√n
= 8.19/33.9/√54
= 8.19/33.9/7.348
8.19/4.6135
= 1.7752
This is the value of our test statistic
When we test this with level of significance 0.05
Critical value z = 1.96
So we conclude that we do not have enough evidence to reject null hypothesis so we accept null and say mean weekly earnings have not changed
What is the slope of the points (2,5) and (0,-4)?
Answers
To find the slope of two points, we have to first assign our points as x1, y1 and x2, y2.
In our problem,
x1 = 2 and y1 = 5
x2 = 0 and y2 = -4
We know that that slope = y2 - y1 / x2 - x1. Let's plug our numbers into this formula.
Slope = -4 - 5 / 0 - 2 = -9 / -2 = 9 / 2
is f(x)=5x^2+6x^3 a polynomial function
Answers
Degree Name Example
0 constant 11
1 linear 4x + 7
2 quadratic 3x2 + 4x + 5
3 cubic 4x3 + 3x + 7
4 quartic 3x4 + 2x2 + 4
5 quintic x5 + 3x + 1
Any value of x such that P(x) = 0 is a root of the equation and a zero of the function.
Review of synthetic substitution
To use synthetic substitution, do the following:
1) Write the polynomial in descending order.
2) Make sure any missing terms are replaced with zero!
3) Bring down the leading coefficient.
4) Multiply by the divisor and add to the next term.
5) Repeat the process until the last coefficient is reached.
Example
Use synthetic division to find P(2) for P(x) = 2x3 - 9x2 + 27
2| 2 -9 0 27
4 -10 -20
2 -5 -10 7 The value of P(2) = 7, the last number!!
Sample Problems
1) State whether each is a polynomial function. If yes, find the degree and the zeros.
Problem Polynomial? Degree zeros
a) f(x) = 5 - 4x yes 1 5/4
b) f(x) = 3x2 - 6x yes 2 0, 2
c) f(x) = x - 3/x no
d) f(x) = 18 yes 0 none
e) f(x) = (x-3)/(x+2) no
2) Use synthetic substitution to find P(3) for each function:
a) P(x) = 4x3 - 5x2 + 3
3| 4 -5 0 3
12 21 63
4 7 21 66
Therefore, P(3) = 66
b) P(x) = 3x4 + 2x3 - 5x - 2
3| 3 2 0 -5 -2
9 33 99 282
3 11 33 94 280
Therefore, P(3) = 280
3) If 4 is a zero of f(x) = 3x3 + kx - 2, find the value of k.
Since 4 is a zero, the value of f(4) = 0. Use synthetic substitution.
4| 3 0 k -2
12 48 192 + 4k
3 12 48 + k 190 + 4k
Now 190 + 4k = 0, solve for k
4k = -190
k = -190/4 = -47.5
Philip wants to know the weight of a book to within half a gram. His weighing scales only weigh to within 10 grammes.
What is the smallest number of identical copies of this book that Philip should weigh together to be able to do this?
Answers
Answer:
f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)
Step-by-step explanation:
What is the ratio of 20 praise and 2000 rupees
Answers
Answer:
1 rupee=100 paisa
so, 20 paisa:2000 rupees
=>20 paisa:2000×100
=>1:10000.
Before the 1936 US presidential election, a popular poll predicted that Alfred Landon would comfortably win against Franklin D. Roosevelt. The poll randomly sampled people from sources like telephone and car registration records, but the country was in an economic crisis, so many voters without those luxuries were not included in the poll. Voters with lower incomes favored Roosevelt, who ultimately won with 62%, percent of the vote—one of the largest margins of victory ever in a US presidential election. Which type of bias does this scenario best describe?
a. Bias from undercoverage
b. Bias from using voluntary response
c. Response bias
d. Nonresponse bias
Answers
Answer:
A
Step-by-step explanation:
Got it right
Please help!
The sum of Linda's and Ginger's ages is 15. The product of their ages is 56. If Ginger is older than Linda how old is each girl?
Answers
Answer:
Ginger is 8, Linda is 7
Step-by-step explanation:
x+y=15
x*y=56
Determine whether the ordered pair (coordinate) is a solution to the inequality.
2. 2x + 3y > -8,
(3,-6)
Answers
Answer:
The ordered pair is not a solution to the inequality.
Step-by-step explanation:
Given expression;
Inequality :
2x + 3y > -8
Ordered coordinate pair = (3, -6)
Solution:
If the ordered pair is a solution of the inequality, then it must be true that expression on the left -hand side is greater than -8;
So, the values we get on the right-hand side should be -7, -6 on and on.
x = 3 and y = -6
Input the parameters into the inequality;
2(3) + 3(-6)
= 6 - 18
= -12
-12 is less than -8 and this is not correct for the expression.
The ordered pair is not a solution to the inequality.
What is the rate of return when 10 shares of Stock
A, purchased for 20 $/share, are sold for $310? The
commission on the sale is $6.
rate of return = [?] %
Give your answer as a percent rounded to the
nearest tenth.
Answers
Answer:
Rate of return = 52%
Step-by-step explanation:
Cost of Investment = 10 shares × $20 = $200
Gain on Investment = amount sold - commission on the sale
Gain on Investment = $310 - $6 = $304
Using the formula:
ROR = (Gain on investment - cost of Investment)/cost of Investment × 100
Plug in the values into the formula:
[tex] ROR = \frac{304 - 200}{200} * 100 [/tex]
[tex] = \frac{104}{200} * 100 [/tex]
[tex] = \frac{104*100}{200} [/tex]
[tex] = \frac{104}{2} = 52 [/tex]
Rate of return = 52%
What is the value of name and tell the value of the underline digit. The number is 25,678 the underline digit is 5.
Answers
Which mathematical property is demonstrated?
5⋅7⋅4=5⋅4⋅7
associative property of addition
associative property of multiplication
commutative property of multiplication
commutative property of addition
Answers
Answer:
commutative property of multiplication
Step-by-step explanation:
you find 38 coins than you find 41 more how many coins do YOU have?
Answers
Answer:
38+41=79
Step-by-step explanation:
i did the math
How many milliters are in 90 ounces
Answers
Answer:
2661,62 ml
Step-by-step explanation:
can i plz have brainliest :)
which is expression is equivalent to 1/5÷1/2
Answers
Answer:
2.5
Step-by-step explanation:
A Giant Sequoia tree is planted in Trevor's
backyard when it is 2 ft tall. The tree grows an
average of 4 ft each year. Write a function and
graph the height of the tree over this time period.
I need to know the answer and what points to graph please help
Answers
Which expression is equivalent to 4(6 + 8)? (1 point)
a.
10 + 12
b.
10 + 8
c.
24 + 32
d.
24 + 8
Answers
Hope this helps
Answer:
c
Step-by-step explanation:
distrubte 4 to 6 and 8
4x6=24
4x8=32
24+32
Are these ratios equivalent?
8 large rubber bands : 10 small rubber bands
16 large rubber bands : 20 small rubber bands
Group of answer choices
Yes
No
Answers
========================================================
Explanation
The ratio 8:10 simplifies to 4:5 when you divide both parts by 2.
The ratio 16:20 simplifies to 4:5 when you divide both parts by 4
Therefore the two ratios 8:10 and 16:20 are both equal 4:5, so they are equal to one another.
------------
Put another way,
(8 large)/(10 small) = (16 large)/(20 small)
8/10 = 16/20
8*20 = 10*16 ... cross multiply
160 = 160
We get a true equation, so the first equation is true as well.
This shows the ratios are equivalent.
-------------
Or you could have...
(8 large)/(16 large) = (10 small)/(20 small)
8/16 = 10/20
8*20 = 16*10
160 = 160
We get the same conclusion as before.
Gustavo noticed that when a pair of parallel lines was cut by a transversal, a certain pair of
adiacent angles formed a straight line. What can he conclude from this observation? Select one
that applies.
Answers
Answer:
The two angles are supplementary
Step-by-step explanation:
Not sure if this is an option, but it would make sense with the question
The sum of the adjacent angles is 180° which means the adjacent angle will be supplementary angles.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
Adjacent angle - In math, two points are nearby in the event that they have a typical side and a typical vertex.
Gustavo saw that when a couple of equal lines were cut by a cross-over, a specific set of nearby points shaped a straight line.
The sum of the adjacent angles is 180° which means the adjacent angle will be supplementary angles.
The diagram is given below.
More about the angled link is given below.
https://brainly.com/question/15767203
#SPJ2
Each of the following tables defines a relationship between an input x and an output y. Which of the relationships represent functions? Table A x -8 -3 0 6 y 24 4 9 72 Table B x 9 15 24 38 y -14 -16 53 29 Table C x 15 24 24 100 y -16 53 29 7 Table D x -8 6 0 6 y 24 4 9 72 a. Table A and Table C b. Table A and Table B c. Table B and Table C d. Table C and Table D Please select the best answer from the choices provided
Answers
Answer:
I think it's d. C and D
Step-by-step explanation:
it needs to be 20 characters long so don't mind this part
Answer: is B. table A and Table B
Step-by-step explanation:
Find x and y. Give reasons to justify your solution. AB, CD, EF, and GH are straight lines.
Answers
Answer:
X= 32 Y= 35
Step-by-step explanation:
We know FOB is parralel to AOE meaning x= 32
also, COH = 90 so GOD is also 90.
a straight angle is 180, so
23+90+x or 32= 145,
180-145=35,
y=35
Answer:
X=32
Y=35
Step-by-step explanation:
We know x is 32 because FOB is parrallel to AOE.
We also know that DOG is 90 because COH is 90, and parallel to DOG
So, we can do:
90 + 23 + 32 =145
180-145=35, which is Y
write in standard form -4 + y +2x = 0
Answers
Answer:
the answer is 2x+y=4
Step-by-step explanation:
2x+y=4
Answer:
y = -2x + 4
Step-by-step explanation:
what are the real and imaginary parts of complex number -6+2i
The real part __
The imaginary part __
HELP ASAP!! WILL GIVE BRAINLIEST
Answers
Answer:
Step-by-step explanation:
Real number: -6 (for it is a constant)
Imaginary number is 2 & i (for it does not technically exist).
hope this helps
A spherical balloon is inflated with gas at a rate of 500 cubic centimeters per minute. Find the rates of change of the radius when r = 70 centimeters and r = 95 centimeters.
Answers
Answer:
for r= 70 cm
the rate is 0.008cm/s
for r=95cm
the rate= 0.0044cm/s
Step-by-step explanation:
kindly find attached a rough sketch of the circle and a detailed solution of the problem.
Given data
rate dv/dt=500cm^3
r=70cm
r=95cm
What is the perimeter of a square with the side length of 31cm?
Answers
Answer:
Perimeter = 124cm
Bender Electronics buys keyboards for its computers from another company. The keyboards are received in shipments of 100 boxes, each box containing 20 keyboards. The quality control department at Bender Electronics first randomly selects one box from each shipment and then randomly selects 5 key boards from that box. The shipment is accepted if not more than 1 of the 5 keyboards is defective. The quality control inspector at Bender Electronics selected a box from a recently received shipment of keyboards. Unknown to the inspector, this box contains 6 defective keyboards.
Round your answers to four decimal places.
a. What is the probability that this shipment will be accepted?
P(shipment accepted)=
b. What is the probability that this shipment will not be accepted?
P(shipment not accepted)=
Answers
Answer:
a
[tex]P(shipment\ accepted) =0.6337 [/tex]\
b
[tex]P(shipment\ not\ accepted)= 0.3663 [/tex]
Step-by-step explanation:
from the question we are told that
The number of boxes N = 100
The number of keyboard in each box is k = 20
The sample size is n = 5
Generally the number of ways of selecting 1 keyboard from the 5 selected keyboard is mathematically represented as
[tex]G = \ ^{5}C_1[/tex]
Here C stands for combination (Hence in the question we will be making use of the combination functionality in our calculator )
Generally the number of ways of selecting 0 keyboard from the 5 selected keyboard is mathematically represented as
[tex]H = \ ^{5}C_0[/tex]
Generally the number of ways of selecting 5 keyboard from the 20 keyboards is mathematically represented as
[tex]F = \ ^{20}C_5[/tex]
Generally the number of ways of selecting 5 keyboard from the 15 keyboards is mathematically represented as
[tex]W = \ ^{15}C_5[/tex]
Generally the number of ways of selecting 5 keyboard from the 15 keyboards is mathematically represented as
[tex]V = \ ^{15}C_4 [/tex]
Generally the probability that a shipment will be accepted is mathematically represented as
Probability of 0 defect out of 5 + Probability of 1 defect out of 5
Now
Probability of 0 defect out of 5 is mathematically represented as
[tex]P(A_1) = \frac{H*W }{ F}[/tex]
=> [tex]P(A_1) = \frac{1 *3003 }{ 15504}[/tex]
=> [tex]P(A_1) = 0.1937[/tex]
And Probability of 1 defect out of 5 is mathematically represented as
[tex]P(A_2) = \frac{ G * V}{ F}[/tex]
=> [tex]P(A_2) = \frac{ 5 * 1365}{15504}[/tex]
=> [tex]P(A_2) = 0.440[/tex]
Generally the probability that a shipment will be accepted is mathematically represented as
[tex]P(shipment\ accepted) =0.1937 + 0.440[/tex]
=> [tex]P(shipment\ accepted) =0.6337 [/tex]
Generally the probability that this shipment will not be accepted is mathematically represented as
[tex]P(shipment\ not\ accepted)= 1 -P(shipment \ accepted)[/tex]
[tex]P(shipment\ not\ accepted)= 1 - 0.6337 [/tex]
[tex]P(shipment\ not\ accepted)= 0.3663 [/tex]
Samantha’s parents give her $10 per week. For each chore that she does not complete, she must repay her parents $1. Which graph models Samantha’s allowance?
A graph titled Samantha's Allowance has chores not completed on the x-axis and amount earned on the y-axis. A line goes through points (0, 10) and (1, 9).
A graph titled Samantha's Allowance has chores not completed on the x-axis and amount earned on the y-axis. A line goes through points (0, 10) and (2, 12).
A graph titled Samantha's Allowance has chores not completed on the x-axis and amount earned on the y-axis. A line goes through points (1, 6) and (1.5, 16).
A graph titled Samantha's Allowance has chores not completed on the x-axis and amount earned on the y-axis. A line goes through points (0, 10) and (1, 0).
Answers
Answer:
A graph titled Samantha's Allowance has chores not completed on the x-axis and amount earned on the y-axis. A line goes through points (0, 10) and (1, 9).
Step-by-step explanation:
If she starts (at zero) with $10, that will be the y-intercept (0, 10)
That eliminates one option
Now if she were to not complete her chore, her y value will go down by one
At the same time she does not complete one, her x value will go up
This is because the y value represents money earned while the x value is for chores not completed
That being said, the coordinates should look like this:
(1, 9)
(2, 8)
(3, 7)
(4, 6)
(5, 5)
(6, 4)
(7, 3)
(8, 2)
(9, 1)
(10, 0)
And so on..
(1, 9) matches with the first problem so that is the answer
Answer:
so the answer is a if you didnt understand the other one
Step-by-step explanation:
1. Let f(x) be defined by the linear function graphed below and
g(x) = x2 - 9x + 14.
I
A. Describe the right end behavior of g(x).
Answers
Answer:
Step-by-step explanation:
A). g(x) = x² - 9x + 14
Since coefficient of highest degree term (x²) is positive, parabola will open upwards.
For any parabola opening upwards,
Right end behavior,
y → ∞ as x → ∞
B). Let the equation of the linear function is,
f(x) = mx + b
Where m = slope of the function
b = y-intercept
From the graph attached,
Slope 'm' = [tex]\frac{\text{Rise}}{\text{Run}}=\frac{-(2+1)}{(0+1)}[/tex]
m = -3
b = -1
Therefore, function 'f' will be,
f(x) = (-3)x - 1
f(x) = -3x - 1
g(x) = x² - 9x + 14
= x² - 7x - 2x + 14
= x(x - 7) - 2(x - 7)
= (x - 2)(x - 7)
If h(x) = f(x)g(x)
h(x) = -(3x + 1)(x -2)(x - 7)
For h(x) ≥ 0
-(3x + 1)(x - 2)(x - 7) ≥ 0
[tex]x\leq -\frac{1}{3}[/tex] Or 2 ≤ x ≤ 7
Therefore, for 2 ≤ x ≤ 7, h(x) ≥ 0
C). If k(x) = [tex]\frac{h(x)}{(x-2)}[/tex]
k(x) = [tex]\frac{-(3x+1)(x-2)(x-7)}{(x-2)}[/tex]
k(x) = -(3x + 1)(x - 7)
For k(x) = -56
-(3x + 1)(x - 7) = -56
3x² -20x - 7 = 56
3x² - 20x - 63 = 0
3x² - 27x + 7x - 63 = 0
3x(x - 9) + 7(x - 9) = 0
(3x + 7)(x - 9) = 0
[tex]x=-\frac{7}{3},9[/tex]
To observe the effect of a categorical IV on a categorical DV (or variables recoded categorically from quantitative data), you would use the:
Answers
Answer:
Dummy Coding
Step-by-step explanation:
Dummy Coding is used to observe the effect of one categorical variable on another.
In this case, the first categorical variable is independent (ICV) while the other is dependent (DCV).
The dummy coding system makes use of two numerical values; 0 representing the absence of an effect and 1 representing the presence of that effect.
If a histogram of a sample of men's ages is skewed, what do you expect to see in the normal quantile plot?
Answers
Answer: Points are not following a straight-line pattern
Step-by-step explanation:
Histograms are used to show the distribution of a dataset.
If the histogram is skewed, then it means that the points do not follow a straight-line pattern, on the normal quantile plot.
From the question, we understand that:
The histogram is skewed
This means that:
The data points of the histogram are either concentrated on the right or on the left-hand side of the histogram.
The above highlight mean that:
The points on the histogram are unequal.
Hence, you would see that the points do not follow a straight line pattern on the normal quantile plot.
Read more about normal quantile plot at:
https://brainly.com/question/5678453