Answer:
I. k = -8
II. y = -96
Step-by-step explanation:
Given the mathematical expression and data;
y = 24
x = -3
y = kx (y varies directly as x).
To find the constant of proportionality k;
y = kx
Substituting the values into the expression, we have;
24 = k(-3)
24 = -3k
k = -24/3
k = -8
Next, to find the value of y when x = 12
y = kx
Substituting the values, we have;
y = -8 * 12
y = -96
Does memory change with age?
A researcher conducts an experiment to test whether memory changes with age. They recruited 24 participants separated into four age groups. The groups differ according to the age of subjects. In group 1, all participants are 30 years old; group 2, 40 years old; group 3, 50 years old; and group 4, 60 years old. Assume that the participants are all in good health and that the groups are matched on other important variables such as years of education, IQ, gender, motivation, and so on. Each participant is shown a series of nonsense syllables (a meaningless combination of three letters such as DAF or FUM) at a rate of one syllable every 4 seconds. The series is shown twice, after which participants are asked to write down as many of the syllables as they can remember. Below is number of syllables remembered by each participant:
30 years old 40 years old 50 years old 60 years old
14 12 17 13
13 15 14 10
15 16 14 17
17 11 9 8
12 12 13 16
10 18 15 9
Instructions:
Below are 5 different experiments descriptions and datasets. For this project you will have to decide the statistical analysis (correlation, regression, z test t-test, anova) appropriate for the experiment and conduct the analysis either using Jamovi and uploading a screenshot of the output, or by hand and showing your calculations.
You need to submit a docx or PDF file. For all the experiments and calculations assume normality and a=0.05. You need to respond to 4 out of the 5 experiments (25 points each). The response needs to have the following information:
• Experiment title.
• Hypotheses: both alternative and the null.
• Mean and standard deviation of each group.
• Clear indication of the hypothesis test being conducted and the obtained statistic.
• The results and conclusion.
Answer:
yes memory changes with age.
Step-by-step explanation:
Find the value of x.
5x
3x-3
-3
24
44
x = [?]
Answer:
x=11
Step-by-step explanation:
The Rocky Mountain News (January 24, 1994) indicated that the 20-year mean snowfall in the Denver/Boulder region is 28.76 inches with standard deviation of 7.5 inches. However, for the winter of 1993-1994, the average snowfall for a sample of 32 different locations was 33 inches.
Required:
Does this indicate thatthe snowfall for the 1993-1994 winters has higher than the previous20-year average?
Answer:
The p-value of the test is 0.0007 < 0.05, indicating that the the snowfall for the 1993-1994 winters was higher than the previous 20-year average.
Step-by-step explanation:
20-year mean snowfall in the Denver/Boulder region is 28.76 inches. Test if the snowfall for the 1993-1994 winters has higher than the previous 20-year average.
At the null hypothesis, we test if the average was the same, that is, of 28.76 inches. So
[tex]H_0: \mu = 28.76[/tex]
At the alternate hypothesis, we test if the average incresaed, that is, it was higher than 28.76 inches. So
[tex]H_1: \mu > 28.76[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
28.76 is tested at the null hypothesis:
This means that [tex]\mu = 28.76[/tex]
Standard deviation of 7.5 inches. However, for the winter of 1993-1994, the average snowfall for a sample of 32 different locations was 33 inches.
This means that [tex]\sigma = 7.5, X = 33, n = 32[/tex].
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{33 - 28.76}{\frac{7.5}{\sqrt{32}}}[/tex]
[tex]z = 3.2[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample mean above 33, which is 1 subtracted by the p-value of z = 3.2. In this question, we consider the standard level [tex]\alpha = 0.05[/tex].
Looking at the z-table, z = 3.2 has a p-value of 0.9993.
1 - 0.9993 = 0.0007
The p-value of the test is 0.0007 < 0.05, indicating that the the snowfall for the 1993-1994 winters was higher than the previous 20-year average.
The volume of a cylinder is 47x cubic units and its height is x units.
Which expression represents the radius of the cylinder, in units?
O 2x
O 4x
O 2pix2
O 4pix2
Answer:
2x
Step-by-step explanation:
The volume of the cylinder is given by the following formula:
pi.r².h
4pix³ = pi x r² x x
r² = 4pix³/pix
r² = 4x²
Rooting both sides
r = 2x
r=2x is the expression represents the radius of the cylinder.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
Given that volume of a cylinder is 4πx³ cubic units and its height is x units.
We need to find the expression which represents the radius of the cylinder.
The volume of the cylinder is given by the following formula:
π.r².h
4πx³ = π x r² x x
Divide both sides by π x
r² = 4πx³/πx
r² = 4x²
Take square root on both sides
r = 2x
Hence, r=2x is the expression represents the radius of the cylinder.
To learn more on Three dimensional figure click:
https://brainly.com/question/2400003
#SPJ5
Jordan and Amari run a 200-meter race, and Jordan wins by 23 meters. They decide to run the 200 meter race again with Jordan starting 23 meters behind the starting
line.
a. Assuming both runners run at the same pace as they did in the first race, who wins the second race?
Answer:
Jordan wins the second race.
Step-by-step explanation:
Jordan and Amari run a 200-meter race, and Jordan wins by 23 meters.
This means that while Jordan ran 200 meters, Amari will have ran 200 - 23 = 177 meters.
Thus, for each meter that Jordan runs, Amari runs 177/200 = 0.885 meters.
Second race:
Jordan starting 23 meters behind the starting line, and thus, he will have to run 200 + 23 = 223 meters.
When Jordan reaches the finish line, having ran 223 meters(200 + 23 behind), Amari will have ran 223*0.885 = 197.335 meters(< 200, so he will not have reached the finish line), and thus, Jordan wins the second race.
Elena drove a total of 203 miles last week. She drove 28 miles during the week to run errands and 35 miles each day to go to work and back. What equation can be used to find how many days, that Elena drove to work last week
Answer:
35×7=56 is a AWNSER djndhei
O resultado da adição algébrica (-5) + (-2 +3
Answer:
= -4
Step-by-step explanation:
(-5) + (-2 + 3) =
(-5) + (1) =
= -4
Hope this helps
Whenever the test results in NY are given, a study shows that 4.6 in 5 people get at least one B. The rest of the 0.4 people get straight As. If there are 5.4 million people receiving their report card, how many get As? Bs?
Answer:
around 432000 people have straight A's.
around 496800 people have at least one B/B's.
Step-by-step explanation:
[tex]\frac{4.6}{5} = \frac{x}{5400000}\\\\5x = 2484000\\\\\frac{5}{5}x = \frac{2484000}{5} \\x = 4968000\\\\5400000 - 4968000 = 432000\\\\[/tex]
around 432000 people have straight A's.
around 496800 people have at least one B/B's.
The 6 officers of the Student Council are going on a trip to an amusement park. Each student must pay an entrance fee plus $5 for meals. The total cost of the trip is $210. Solve the equation 6(e + 5) = 210 to find the cost e of the entrance fee for each
student.
Noah assigns a number to each of the 150 athletes at his school and puts the numbers in a box. He randomly chooses 30 numbers and finds that 18 of the
athletes watched television last night. Use this sample to make an inference about how many athletes watched television last night.
Answer:
90
Step-by-step explanation:
18 out of 30 watched tv
150/30 = 5
18/30 = (18 * 5)/(30 * 5) = 90/150
Answer: 90
Jackson is making brownies. He uses the following ingredients.
Ingredients Amount for 1
Batch of Brownies
Flour 3 cups
Sugar 2 cups
Butter 1/3 cup
Cocoa Powder 1/4 cup
Jackson has 1 cup of butter. If he wants to use all the butter, how many batches of brownies can he make?
Part A
Which equation can you use to solve the problem?
A. 1 ÷ 3 = 3
B. 1 ÷ 13 = 3
C. 1 × 13 = 13
D. 1 + 13 = 13
Part B
Jackson used all the butter to make the brownies.
If each brownie is 1/9 of a batch, how many brownies did he make?
Enter your answer in the box.
Answer:
It's B (1÷13=3) for Part a
1 whole is equal to 3/3. One batch of brownies uses up to 1/3 of butter. So 1 ÷ 1/3 = 3.
Step-by-step explanation:
There are 2 people in the Hill family. Each person
reads the same number of books. They read 12 books
in all. How many books does each person read?
A
18 books
B
6 books
C
8 books
D
10 books
Answer:
6
Step-by-step explanation:
A shipment of sugar fills 6 containers. If each container holds 3 3/4 tons of sugar, what is the amount of sugar in the entire shipment?
Write your answer as a mixed number in simplest form.
Answer:
7 6/7 tons.
Step-by-step explanation:
2 1/5 containers = 11/5 containers, written as an improper fraction. Each container holds 3 4/7 tons of sugar; this capacity is 25/7, written as an improper fraction.
The product of these two numbers is 55/7 tons, or 7 6/7 tons.
Q1: Suppose that the numbers of persons per car arriving at the entrance to an amusement park has an average 2. What is the probability that a car arriving at the entrance contains a) No person b) Only one person c) More than one person d) Eight persons e) At least 3 person
b) A car drives at a speed of 90kmth for 2 hours and 20 minutes
How far does the car onve?
Answer:
210 km
Step-by-step explanation:
90 * 2 is 180 (distance over 2 hours)
20 minutes is .333 hours, so 90*0.333 is about 30 km
and 180+30 is 210.
Answer:
210km
Step-by-step explanation:
2 hours=90km×2hr=180
20mins converted to a fraction is 0.333hr
90×0.333=29.97
Round 29.97 to 30
180+30
=210
Hope this helps u
Here u go hope it helps
PLZ DONT LEAVE IN BLANK I WILL DO ANYTHING!!!!
The data below shows the scores of some students on a test:
29, 31, 27, 20, 25, 34, 24
Which box-and-whisker plot represents the data?
Answer:
b
Step-by-step explanation:
Select the correct answer
Consider event A and event 8. What is the probability that event Boccurs, given that event A has already occurred?
OA
PB n A)
PLA). P(8)
Ов,
P(BA)
P(A)
OC. P(BA)
P(8)
OD
PIBUA)
P(B)
Reset
Next
Answer:
[tex]P(B|A)[/tex]
Step-by-step explanation:
Probability notation:
Suppose that we have two events, event A and event B. The probability of event B occuring, considering that event A has occurred, is given by:
[tex]P(B|A)[/tex], which is the answer to this question.
I am a fraction and I am equivalent to 4/9. If my numerator is 28. Who am I?
Answer:
I am 28/63
Step-by-step explanation:
4 * 7 = 28
9 * 7 = 63
Therefore, 4/9 is equivalent to 28/63.
Factor 9x2+24x+16
Enter your answer in the boxes.
9x2+24x+16= ( answer here )2
Answer:
(3x + 4)^2
Step-by-step explanation:
9x^2 + 24x + 16
Let's use middle term break method to factor this polynomial.
In Quadratic Factorization using Splitting of Middle Term which is x term is the sum of two factors and product equal to last term. Factor each pair by finding common factors.
we nee two number which give 144 wh3n multiplied and 24 when added.So, 12 and 12 is the number because 12*12=144 and 12+12=24.
9x^2 + (12+12)x +16
9x^2 +12x +12x +16
take common
3x(3x + 4) +4(3x +4)
take (3x + 4) as common
(3x +4)(3x*1 +4*1)
(3x +4)(3x +4)
(3x +4)^2
Answer:
2 (17+12x)
Step-by-step explanation:
See image below:)
A, B&C form the vertices of a triangle.
CAB = 90°, ABC = 70° and AC = 9.5.
Calculate the length of AB rounded to 3 SF.
Please help :)
Answer:
I think this is right hope you understand
PLS HELP ASAP! FIND THE VOLUME OF THE GIVEN FIGURE.
Thank you
Answer:
120
Step-by-step explanation:
all you have to do is multiply the length, width, and height.
5x8=40
40x3=120
Hope this help!!!
Have a nice day!!!
How is the graph below misleading?
different widths of the bars
too large of increments used
y-axis doesn't begin at zero
broken y-axis
Answer:
A is the right answer
Step-by-step explanation:
the y axis can start at 0 and the y axis isn't broken. and the increments aren't to large so most reasonable will be A
Answer:
different widths of the bars
Step-by-step explanation:
the y-axis does begin at 0, the increments are reasonable, and the y-axis is not broken
the widths of the bars are visibly different, so that answer makes the most sense.
Stacy drew a triangle to explain the relationship between the angles of a triangle and an exterior angle. She labeled the interior angles 1, 2, and 3. She labeled as 4 the exterior angle that is adjacent to angle 2. Triangle with angles labeled 1, 2, 3, & exterior angle at angle 2 is labeled 4. What should Stacy do to explain the relationship between an exterior angle and the interior angles in a triangle?
9514 1404 393
Explanation:
Stacy can write two equations showing the relationships of the angles:
∠1 +∠2 +∠3 = 180° . . . . . . . sum of angles in a triangle
∠2 +∠4 = 180° . . . . . . . . . . angles of a linear pair are supplementary
__
Subtracting the second equation from the first gives ...
(∠1 +∠2 +∠3) -(∠2 +∠4) = (180°) -(180°)
∠1 +∠3 -∠4 = 0
Adding ∠4 to both sides gives the relationship Stacy is looking for:
∠1 +∠3 = ∠4
_____
Alternative approach
Stacy could subtract ∠2 from both equations to give ...
∠1 +∠3 = 180° -∠2
∠4 = 180° -∠2
Then she could equate the two expressions for 180° -∠2:
∠1 +∠3 = ∠4
Are the functions linearly dependent on the interval (0,1)? y1=sintcost,y2=4sin2ty1=sintcost,y2=4sin2t hint: recall that function are linearly dependent on a given interval if one is a constant multiple of the other.
Answer: hello your question is poorly written attached below is the complete question
answer:
since y1 = 1/2 y2 on ( 0,1 ) the function are linearly dependent on ( 0,1 ) ( B )
Step-by-step explanation:
First step : Determine if y1 and y2 are linearly dependent
interval = ( 0,1 )
Functions: y1 = sin t cost t , y2 = 4 sin t
We can verify if these functions are linearly independent or linearly dependent by using the determinate form
attached below is the detailed solution
From the attached solution we can conclude that
y1, y2 is linearly dependent on ( 0,1 )
hence ; since y1 = 1/2 y2 on ( 0,1 ) the function are linearly dependent on ( 0,1 )
NO LINKS!!!
Change the standard form equation to vertex form and compare the function to the parent function y = x^2.
1. y = x^2 - 2x - 2
Completing the square gives
[tex]x^2-2x-2=(x-1)^2-3[/tex]
and comparing to [tex]y=x^2[/tex], the graph of [tex]y=x^2-2x-2[/tex] would be a horizontal shift to the right by 1 unit, and a vertical shift down by 3 units.
Hope this help!!!
Have a nice day!!!
help me on this question
9514 1404 393
Answer:
$4.71
Step-by-step explanation:
The cost of the Valencia oranges is ...
(3/4 kg)($0.96 /kg) = $0.72
The cost of the navel oranges is ...
(3 kg)($1.33 /kg) = $3.99
The cost of the purchase of the oranges is $0.72 +3.99 = $4.71.
Parabolas in geometry. i need help please
Answer:
OPtion B
Step by step explanation:
Lets plug in a random value for x.
Lets say 5 is x
-8(-5-5)=(y+1)^2
5-5 = 0
-8(0) = 0
0 = (y+1)^2
Square root of both sides
0 = y+1
subtract one from both sides
-1 = y
that means the x is 5 and the y is -1. Option B illustrates exactly that!
Có bao nhiêu hoán vị {1.2….9} mà 4,5,6 không đứng cạnh nhau theo thứ tự tăng dần
Answer:
Yeah buddy
Step-by-step explanation:
Cabs here cabs here cabs here cabs here cabs here
what is A big rubbing alcohol holds 2 liters . How many milliliters is this
Answer:
it equals 2000 mililiters
Step-by-step explanation:
PLS HELP ASAP !!! PLSSS !! will mark whoever answers correctly as brainliest !
Answer:
x=70 degree
Step-by-step explanation:
x+110 =180 degree (the relation between x and 110 degree is that they are co exterior angles are same side exterior angles and sum of co exterior angles is always 180 degree)
x=180-110
x=70 degree