Tyler was at the amusement park. He walked at a steady pace from the ticket booth to the bumper
cars.
The point on the graph shows his
arrival at the bumper cars. What do
the coordinates of the point tell us
about the situation?
What does the point (0,0) mean in
this situation?
What is the constant of
proportionality for the relationship
between time and distance? What
does it tell you about Tyler's walk?
Where do you see it in the graph?
Answers
9514 1404 393
Answer:
a) It took 40 seconds to go 50 meters from the ticket booth
b) Tyler started at the ticket booth
c) k = 5/4
d) Tyler walked at the rate of 1.25 meters per second
e) The constant of proportionality is the slope of the line from (0, 0) to (40, 50). It is not shown on the graph.
Step-by-step explanation:
a) The axis labels on the graph tell you that 40 represents the number of seconds of elapsed time, and 50 represents the number of meters from the ticket booth. With the information in the problem statement, the coordinates (40, 50) tell us it took Tyler 40 seconds to walk 50 meters from the ticket booth to the bumper cars.
__
b) The point (0, 0) tells us that Tyler started counting time when he left the ticket booth.
__
c) The constant of proportionality is the ratio of the second coordinate to the first. The constant of proportionality is 50/40 = 5/4 = 1.25. (Its units are meters per second.)
__
d) The constant of proportionality tells us that Tyler's steady pace was 1.25 meters per second.
__
e) The constant of proportionality is not shown on the graph. It is the slope of a line between the origin and the point (40, 50).
Related Questions
If 3,k,w,18 are in AP. Find the value of 3k + 4W
Answers
9514 1404 393
Answer:
76
Step-by-step explanation:
For some common difference d, the terms of the progression are ...
k = 3 +d
w = k +d = 3 +2d
18 = w +d = 3 +3d
Solving for d, we get ...
15 = 3d . . . . subtract 3
5 = d . . . . . . divide by 3
Now, we can find ...
3k +4w = 3(3 +d) +4(3 +2d) = 9 +3d +12 +8d = 21 +11d
3k +4w = 21 +11(5) . . . . substitute for d
3k +4w = 76
what is the mean of 10,16,14,12and 16?show the solution pls...
Answers
Answer:
13.6Step-by-step explanation:
what is the mean of 10,16,14,12and 16?
Find the sum of the values by adding them all up.
Divide the sum by the number of values in the data set.
10 + 16 + 14 + 12 + 16 = 68
68 : 5 = 13.6
or
(10 + 16 + 14 + 12 + 16) : 5 = 13.6
Eloise has 3/4 -pound of bird seeds. Each day, she feeds the birds in her yard 1/8 -pound of seeds. For how many days will she be able to feed the birds?
Answers
Answer:
6 days
Step-by-step explanation:
First, we make common denominators:
3 *2 = 6
_ -> _
4 *2 = 8
and we get 6/8
6/8 divided by 1/8 will be 6 days
Which statement is true for log3(x+1)= 2?
Answers
Answer:
og₃ (x+1) = 3
It could be written:
(x+1)= 3³==> x+1 = 27 ==> x =27-1 =26
Step-by-step explanation:
I really hope this helps
researchers have collected data on the hours of studying in a week and the exam grade of a student. you are given the data below (10 points). hint: this questions is similar to q1 in hw7. hours of studying exam grade 1 55 3 75 4 80 3 85 6 99
Answers
The t-test value for the given collected data of hours of studying and exam grade is equal to 10.45.
As given in the question,
n = 5
Mean of the data ( time ) μ₁ = ( 1+ 3 + 4 + 3+ 6)/ 5
= 3.4
Mean of the exam grade μ₂ = ( 55 + 75 + 80 + 85 + 99) / 5
= 78.8
Standard deviation of time σ₁ = 1.82
Standard deviation of exam grade σ₂ = 16.04
Standard error of time = σ₁/√n
= 1.82 / √5
=0.81
Standard error of time =σ₂/√n
= 16.04/ √5
=7.17
Difference in mean of time and exam grade = 78.8 - 3.4
= 75.4
Standard error of difference 'S.E'= √ (0.81)² + (7.17)²
= 7.215
t - test for the given data
= | μ₁ - μ₂| / S.E.
= | 3.4 - 78.8| / 7.215
= 75.4 / 7.215
= 10.45
P value and statistical significance:
Two-tailed P value is smaller than 0.0001
Therefore, the t-test value for the given collected data is equal to 10.45.
The above question is incomplete , the complete question is:
Researchers have collected data on the hours of studying in a week and the exam grade of a student. you are given the data below (10 points). hint: this questions is similar to q1 in hw7.
hours of studying exam grade
1 55
3 75
4 80
3 85
6 99
Calculate the t -test and interpret the data?
20/100+4/10=
A) 24/100
B) 60/100
c) 24/10
Answers
Answer:
24/100
cause you have to add 20 + 4 and then just add the 100
Juanita has saved 35% of the money for a bike. She has saved $63 dollars. How much does the bike cost?
Answers
Answer:
The total cost of the bike is $180.
Step-by-step explanation:
Given that Juanita has saved 35% of the money for a bike.
Let the total cost of the bike = x
As she has saved $63 dollars which represents the 35% of the money for a bike.
In other words, 35% of the total cost is $63 dollars.
As the total cost = x
Thus,
35% of x = 63
\(\frac{35}{100}x=63\)
Multiply both sides by 20
\(20\times \frac{35}{100}x=63\times \:20\)
simplify
\(7x=1260\)
Divide both sides by 7
\(\frac{7x}{7}=\frac{1260}{7}\)
Simplify
\(x=180\) $
Thus, the total cost of the bike is $180.
17. You want to test a new athlete's-foot treatment. You test men and women separately, randomly dividing them into treatment and control groups. The treatment groups receive the new treatment and the control groups receive an inert powder that resembles the treatment. Neither the subjects nor the test administrators know which groups receive the treatment and which groups receive the inert powder. At the end of the experiment, all subjects are asked to rate their degree of relief from athlete's foot. These scores are compared between groups. Which of the following groups of elements were present in this study?
a. Randomization, blocking, placebo, comparative, double-blind
b. Comparative, randomization, placebo, blind
c. Double-blind, randomization, comparative, placebo
d. Randomization, stratified sample, placebo, blind, treatment
e. Double-blind, control, observational, blocking
Answers
Answer:
a. Randomization, blocking, placebo, comparative, double-blind
Step-by-step explanation:
1. Randomization is the process of assigning the subjects in an experiment to any of the treatment groups. This was applied in this experiment when the researcher randomly divided the men and the women into treatment and control groups.
2. Blocking is introduced in an experiment in order to remove nuisance factors. The researcher introduced blocking in this experiment when he divided the men and women on the basis of gender.
3. The Placebo is the inert powder that was given to a group. It has no effect on the participants who receive it.
4. Comparative research compares the result from two groups. This is seen in this research hen the researcher compares the scores between the groups.
5. A double-blind experiment is one where neither the subjects nor the test administrators know which groups receive a treatment. This factor is present in this test.
Q1, PLSS HELP, IT TIME.........
Answers
Step-by-step explanation:
I just answered this.
we have 2 angles and their connecting side in between that are congruent (identical).
so, it is D. ASA (angle side angle)
just look up the meaning of the acronyms, and it will all be clear and very easy.
Using the Weshcler IQ test, adults have IQ scores that are normally distributed with a mean of 100 and a standard deviation of 15. b) Find the score of an individual who is at the 85th percentile.
Answers
The 85th percentile of a normal distribution is the score that is greater than or equal to 85% of the scores in the distribution. This means that the score at the 85th percentile is the same as the score that would be earned by the top 15% of individuals in the distribution.
To find the score at the 85th percentile, we can use the standard normal distribution table or use a calculator to find the z-score corresponding to the 85th percentile. The z-score is the number of standard deviations that a score is above or below the mean of the distribution.
Using a calculator or table, we find that the z-score corresponding to the 85th percentile is 1.04. Since the mean of the distribution is 100 and the standard deviation is 15, this means that the score at the 85th percentile is 100 + (1.04 * 15) = 120.4.
Therefore, the score of an individual who is at the 85th percentile on the Weshcler IQ test is 120.4.
Beth uses the expression 4(21-2) - 1 to determine how much profit she will make after selling any given number of lamps (1). If [= 25,
how much profit will Beth make?
es
A)
$164
B)
$183
$188
D)
$191
E)
$197
Submit
Algebra
Answers
Answer:
the answer is D.191
4(2(25)-2)-1
4(50-2)-1
4(48)-1
192-1
191
Step-by-step explanation:
hope this helps :)
Use the graph to answer the question.
Determine the translation used to create the image.
A. 7 units to the right
B. 7 units to the left
C. 3 units to the right
D. 3 units to the left
Answers
The correct option is A, we have a translation of 7 units to the right.-
How to determine the translation?To find it, we need to analyze two correspondent vertices.
We can see that vertex A is at (1, 5), while the correspondent vertex A' is at (8, 5)
Taking the difference between that, we will get:
A' - A = (8, 5) - (1, 5) = (8 - 1, 5 - 5) = (7, 0)
The first value gives the horizontal translation and the second the vertical one
So,we have a translation of 7 units to the right, the correct option is A.
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Write an inequality whose graph is described by the given information.
The points (2,5) and (-3,-5) lie on the boundary line. The points (6,5) and (-2,-3) are solutions of the inequality.
What is the inequality?
Answers
Answer:
The inequality whose graph is described by the given information is: y > 2x + 5.
Step-by-step explanation:
What is the coefficient of the third term in this expression?
n + 1 + 3m + 2k
Answers
Answer:
3 ismthe coefficient of 3m
A satellite dish shaped like a paraboloid, has diameter 2.4 ft and depth 0.9 ft. If the receiver is placed at the focus, how far should the receiver be from the vertex? Send help, we need to pass it before 12 midnight today
Answers
The receiver should be 0.4 feets above the vertex
The distance from the vertex, p is defined as :
\(p = \frac{ {x}^{2} }{4y} \)
Where,
y = depth
x = radius
\(radius \: = \frac{diameter}{2} \)
\(x = \frac{2.4}{2} = 1.2\)
Hence, y = 0.9 and x = 1.2Therefore,
\(p \: = \frac{ {1.2}^{2} }{4(0.9)} = \frac{1.44}{3.6} =0.4\)
Hence, the receiver should be 0.4 feet above the vertex.
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H
6:00 PM
What is a frostbite?
Answers
Of the following statements, which one or ones describe actions helpful to your credit score?
1. Quickly paying off debts
II. Having recent debts
III. Having long-standing lines of credit
a. I only
b. II and III
c. I and HII
d. III only
Answers
Answer:
a is the answer
Step-by-step explanation:
Triangle MRN is created when an equilateral triangle is folded in half.
Triangle N R M is shown. Angle N R M is a right angle. An altitude is drawn from point R to point S on side M N to form a right angle. The length of N S is 6, the length of S M is 2, the length of R M is x, the length of N R is y, and the length of R S is z.
What is the value of y?
Answers
The value of y based on the values given ib the equilateral triangle will be 4.
How to illustrate the triangle?From the information given, MN is one of the sides of the equilateral triangle. Therefore, side MR will be:
= 1/2 × 8 = 4
In the above, it should be noted that MR was calculated since it's half of the value of MN which is 8.
Here, value of y based on the values given ib the equilateral triangle will be 4.
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Answer:
Step-by-step explanation:
4
The garden at right will have a border of flowers around the outside edge that is the same width all around. The flowers you bought will fill an area of 276ft^(2). How wide will the border of flowers be?
Answers
Based on the information provided, the border of the flowers will be 16,61 feet.
How to calculate the missing border?The area that the flowers fill, which in this case is 276 square feet was calculated by multiplying the side by side of the shape. Due to this, the border can be calculated by using the following formula:
Area = s x s
This means the area is equivalent to s^2
Area = s^2
Now, let's modify the formula to calculate the missing border:
side = \(\sqrt{area}\)
side = \(\sqrt{276}\)
side = 16,61 feet
Based on this, the missing border of flowers would be 16,61 feet.
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What is the approximate length of side GF in triangle EFG?
Answers
Answer:
41.93 degrees
Step-by-step explanation:
This stem and leaf diagram shows the number of students who go to various after school clubs. What is the smallest number of students who go to one of these clubs?
1| 6 8 9
2| 1
3| 5 9
4| 0 2 4 5
(Key: 2| 1 represents 21 students)
Answers
The smallest number of students who go to one of these clubs is 21.
A stem-and-leaf diagram is a quantitative assessment of a collection of data in which the data values are divided into a "stem" (the first digit of the number) and a "leaf" (the remainder of the number) (the last digit of the number).
Based on the given stem and leaf diagram, the smallest number of students who go to one of these clubs is represented by the leaf value "1" in the stem "2."
Therefore, the smallest number of students who go to one of these clubs is 21.
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Which of the following random variables are discrete?
I. L= the number of pages in a randomly selected book
II. A = the number of leaves on a randomly selected tree
III. K= the height of a randomly selected NBA player
a. I only
I and II
b. II and III
c. II and III
d. l,ll, lll
Answers
Answer:
Step-by-step explanation:
I and II
Pages in a book and leaves on a tree can be counted precisely. They are discrete.
The height of a person cannot be measured exactly. We can get very good
approximations (to a lot of decimal places) but never exact. This is continuous.
A line contains two distinct points, X and Y. Select each correct statement.
А Points X and Y determine one unique line.
B There are infinitely many points between points X and Y.
С The distance from X to Y is equal to the distance from Y to X.
D Any line segment that contains point X must also contain point Y
Answers
Answer:
D. Any line segment that contains point X must also contain point Y
(3, 4, 5, ...} is finite or infinite
Answers
The given set is (3, 4, 5, ...} is infinite set.
A set with an infinite number of elements is one that cannot be numbered. A set that has no last element is said to be endless. A set that can be put into a one-to-one correspondence with a suitable subset of itself is said to be infinite. No issue with the in-class assignment.
The stars in the clear night sky, water droplets, and the billions of cells in the human body are just a few examples of endless sets of objects that surround us. A set of natural numbers, however, serves as the best illustration of an infinite set in mathematics. There is no limit to the amount of natural numbers.
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use simple interest to find the ending balance $7300 at 7% for 3 years
Answers
9514 1404 393
Answer:
$8833
Step-by-step explanation:
The account balance will be given by the formula ...
A = P(1 +rt)
where P is the amount invested, r is the annual rate, and t is the number of years.
A =- $7300(1 +0.07·3) = $7300·1.21 = $8833
The ending balance is $8833.
Find the area of a rectangle that measures 12ft by 3 1/3 ft
Answers
Answer:
40 ft^2
Step-by-step explanation:
The area of a rectangle is given by
A = l*w
=12 * 3 1/3
Change to an improper fraction
= 12 ( 3*3+1)/3
= 12 (10/3)
40
Answer:
\(40 {ft}^{2} \)
Step-by-step explanation:
\(area = l \times b \\ = 12 \times 3 \frac{1}{3} \\ = 12 \times \frac{10}{3} \\ = \frac{120}{3} \\ = 40 {ft}^{2} \)
Water works commission assume population standard deviation is 1.7 gallons. 15.8 gallons a day for sample of 249 families. Construct 80% confidence intervals
Answers
The 80% confidence interval for the average water usage of 249 families is (15.42, 16.18) gallons.
To construct an 80% confidence interval for the average water usage of 249 families, we can use the following formula:
CI = X ± t(α/2, df) * (s/√n)
where X is the sample mean (15.8 gallons), t(α/2, df) is the critical t-value from the t-distribution table at the desired confidence level and degrees of freedom (247 in this case), s is the population standard deviation (1.7 gallons), and n is the sample size (249).
At an 80% confidence level and 247 degrees of freedom, the critical t-value is approximately 1.296.
Plugging in the values, we get:
CI = 15.8 ± 1.296 * (1.7/√249)
CI = 15.8 ± 0.38
Therefore, the 80% confidence interval for the average water usage of 249 families is (15.42, 16.18) gallons.
This means that we are 80% confident that the true average water usage of the population lies within this interval.
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What is the area of the parallelogram
Answers
Answer:
B. 95 in^2
Step-by-step explanation:
19x5=95
Jen Furniss is looking to buy a new SUV. After researching on the internet she has discovered that the
dealer paid 82% of the base price and 85% of the options. The actual amount of dealer's base price was
$28,044 and dealer's options cost is $2,231.25 and the dealer also paid a $700 destination charge. Find
the SUV's sticker price.
Answers
The sticker price of the car is $26,367.025.
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. With the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Given:
base price = $28,044
options = $2,231.25
destination charge = $700
So, Dealer's cost
= 82% of base price + 85% of options + destination charge
= 0.85 x 28044 + 0.82 x 2231.25 + 700
= 23,837.4 + 1,829.625 + 700
= $26,367.025
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millie moo the cow can produce 14.8 gallons of milk in 3 1/2 days. how many gallons of milk does millie produce each day? round to the nearest hundredth if necessary
Answers
we make a relation
\(14.8g\longrightarrow3\frac{1}{2}d\)now we make a relation between the number of gallons on 1 day
\(x\longrightarrow1d\)where x is the number of gallons on 1 day
Join it
\(\begin{gathered} 14.8g\longrightarrow3\frac{1}{2}d \\ \\ x\longrightarrow1d \end{gathered}\)and use cross multiplication to solve, multipli the numbers on the diagonal where isnt the missing number. and divide by the number on diagonal of the missing number, to find the Value of the missing number
to simplify the operations we change the mixed number to decimal
\(3\frac{1}{2}\longrightarrow3.5\)then...
\(x=\frac{1\times14.8}{3.5}\)and do the operations to find the unknow
\(x=\frac{14.8}{3.5}=\frac{148}{35}\approx4.228\)the reounded number of gallons for one day are
\(4.23\)