4 3 (1)/(5 )2 (3)/(5 )1 (4)/(5)
ecplict formula, in slope intercept form (4)/(5)
The explict formula, in slope intercept form is an = n/5
Calculating the explict formula, in slope intercept formThe given sequence is 1/5, 2/5, 3/5.
We can observe that this is an arithmetic sequence, where the first term is 1/5, the common difference is 1/5
To find the explicit formula for an arithmetic sequence, we can use the formula:
an = a1 + (n-1)d
Substituting the values we know for this sequence, we get:
an = 1/5 + (n - 1)*(1/5)
Evaluate
an = n/5
Thus, the nth term of this sequence can be found by substituting the value of n in the formula an = n/5
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Complete question
1/5 2/5 3/5
What is the explicit formula in slope intercept form
6. All of the students in a classroom list their birthdays.
a. Is the birthdate, b, a function of the student, s? Explain your reasoning.
b. Is the student, s, a function of the birthdate, b? Explain your reasoning.
Answer:
is the birthdate
Step-by-step explanation:
because very student in the classroom need to give their day to be recorded
In a Healthy Jogging event, a few hundred participants were expected to jog 7 800 000 metres altogether. They had jogged 25 000 metres in the first few minutes. How many thousands must be added to 25 000 to make 7 800 000?
we have to add 7775000 to make 7800000 from 25000 which is calculated by using Substraction method.
Subtraction in mathematics is the process of subtracting one integer from another. In other terms, the result of subtracting two from five is three. After addition, subtraction is usually the second process you learn in math class.Subtraction is the action or procedure of determining the difference between two quantities or figures. The phrase "taking away one number from another" is also used to describe the process of subtracting one number from another.
Distance to be covered altogether= 7800000 m
THE distance has covered= 25000 m.
We can calculate the thousands needs to be added in 25000 to make it 7800000 by using Substraction method:-
7800000-25000= 7775000m
hence, to make 7800000 from 25000 we have to add 7775000.
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the graph for the question
Answer:
See below
Step-by-step explanation:
See attachment.
Once again, we are given the equation:
c(x)=10x+20
With the y intercept being 20 (0,20)
and the slope being 10 (10/1). From point (0,20) go up 10 and to the right 1.
(Don't mind my wobbly line, lol, but that is what it should look like.)
Hope this helps! :)
someone pls answer this I'm giving 30 points
Beth's rate of travel is 2.2 meters per second and Amy's line is steeper
The graphFrom the question, we have the following parameters that can be used in our computation:
The table of values
See attachment for the graph
Beth's rate of travelFrom the graph, we have
Beth's rate of travel = 2.2 meters per second
This is so because from the graph:
As x increases by 1. y increases by 2/2
The steeper lineHere, we have
Amy's rate of travel = 75/30 meters per second
Evaluate
Amy's rate of travel = 2.5 meters per second
The higher the rate, the steeper the line
This means that Amy's line is steeper
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You make a salary of &75,000 per year,
Answer:
oohhhh cool
Step-by-step explanation:
I didn't know I had so much money
partially correct your answer is incorrect. mean: your answer is incorrect. try again the numbers of students in the schools in a district are given below. (note that these are already ordered from least to greatest.) , , , , , , , suppose that the number from this list changes to . answer the following. (a) what happens to the mean? it decreases by it increases by it stays the same. (b) what happens to the median? it decreases by it increases by it stays the same.
When the number 410 is changed to 310 in the list of student numbers for the 10 schools in the district:
(a) The mean increases by 0.9.
(b) The median decreases by 7.
(a) The mean is calculated by summing up all the values and dividing by the total number of values.
Let's compare the mean before and after the change in the number 410.
Before the change:
Mean = (170 + 194 + 303 + 309 + 316 + 330 + 368 + 371 + 379 + 410) / 10 = 308
After the change (410 changed to 310):
Mean = (170 + 194 + 303 + 309 + 316 + 330 + 368 + 371 + 379 + 310) / 10 = 308.9
Comparing the mean before and after the change, we can see that the mean increases by 0.9.
(b) The median is the middle value of a sorted dataset. In this case, the median is the value that separates the lower half from the upper half when the numbers are arranged in ascending order.
Before the change:
Median = 316
After the change (410 changed to 310):
Median = 309
Comparing the median before and after the change, we can see that the median decreases by 7.
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The numbers of students in the 10 schools in a district are given below. (Note that these are already ordered from least to greatest.) 170, 194, 303, 309, 316, 330, 368, 371, 379, 410 Suppose that the number 410 from this list changes to 310. Answer the following. (a) What happens to the mean? It decreases by It increases by It stays the same. It decreases by It increases by It stays the same. (b) What happens to the median
Express 2^40 × 4^30 in the form 2^n
Answer:
\(2^{100}\)
Step-by-step explanation:
Given expression:
\(2^{40} \times 4^{30}\)
Rewrite 4 as 2²:
\(\implies 2^{40} \times (2^2)^{30}\)
\(\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:\)
\(\implies 2^{40} \times 2^{(2\times30)}\)
\(\implies 2^{40} \times 2^{60}\)
\(\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}:\)
\(\implies 2^{(40+60)}\)
\(\implies 2^{100}\)
Therefore, n = 100.
A data set has a mean of 177 and a standard deviation of 20. Compute the coefficient of variation.
A data set has a mean of 177 and a standard deviation of 20. 11.3% is the coefficient of variance for this collection of data.
The ratio of a data set's standard deviation to its mean, stated as a percentage, is represented by a coefficient of variation (CV), a dimensional measure of variability. It is a practical tool for contrasting the relative variance of two or more data groups with various means or measurement units.
We divide the usual level deviation by the mean, multiply the result by 100, and that number is the coefficient of variation. The coefficient in variation can be computed as follows in this situation: Using the formula CV = (standard deviation / mean) x 100, (20 / 177) x 100, and 11.3%
A low coefficient for variation means that the mean is a good indicator of the data and that the set of data has low relative variability. On the other hand, a high coefficient for variation shows substantial relative variability, which could point to the need for additional research or alternate metrics of central tendency.
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7th grade math help me plzzzzz
Answer:
-3, -2.5, -3/4, 0.8, 2.5, 6 1/2
Step-by-step explanation:
Answer:
-3 , -2.5 , -3/4 , 0.8 , 2.5 , 6 1/2Step-by-step explanation:
1/2 = 0.5
6 = 6
6 + 0.5 = 6.5
----------------------------------------------------------------------------------------------------------------
1/4 = 0.25
-1/4 = -0.25
-3/4 = -0.75
----------------------------------------------------------------------------------------------------------------
Hope this helps! <3
suppose you borrow $300 at a yearly, or annual, simple intrest rate of 3.4% for 3 years. what values would you use for P,r, and t?
Answer:
P=300
r= 3.4%
t=3
Step-by-step explanation:
0.1, 0.4, 0.7, 1.0,...
describe the relationship between the terms between the terms in each arithmetic sequence then write the next three terms in each sequence
I NEED THE ANSWER ASAP PLEAZE
Answer:
The distance between each is 0.3, the next three are 1.3, 1.6, and 1.9
Step-by-step explanation:
A trail mix recipe calls for 1 cup of nuts for every 2 cups of granola. If you want to make 12 cups of trail mix, how many cups of granola will you need? Use a tape diagram to help organize your thinking.(1 point)
cups.
PLEASE HELP ITS DUE IN 30 MINUTES!! IM GIVING TEN POINTS AWAY
Answer:
8 cups
Step-by-step explanation:
Given a recipe for trail mix that calls for 1 cup of nuts for each 2 cups of granola, you want to know the number of cups of granola required for 12 cups of trail mix.
FractionThe fraction of the total volume of trail mix that is granola is ...
granola / (trail mix) = granola / (nuts + granola)
(2 cups)/(1 cup +2 cups) = 2/3
Applied to the quantity 12 cups of trail mix, we find the volume of granola to be ...
granola = (2/3)×(12 cups) = 8 cups
You need 8 cups of granola for 12 cups of trail mix.
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The Magsanoc family was having pizza for snacks. Mrs.
Magsanoc had just placed the toppings on 3
8
of the pizza
when the phone rang and she stopped to answer the phone.
While she was away, Mr. Magsanoc came in and decided to
help his wife complete the pizza. He covered 1
3
before she
returned. How much of the pizza was covered when Mrs.
Magsanoc returned?
urgent answer quick
Answer: We can start by figuring out how much of the pizza was covered before Mrs. Magsanoc returned by adding the portion that she covered before the phone rang to the portion that Mr. Magsanoc covered while she was away.
Mrs. Magsanoc covered 3/8 of the pizza before the phone rang.
Mr. Magsanoc covered 1/3 of the pizza while she was away.
To add the two portions, we need to find a common denominator, which is the least common multiple of 8 and 3. That is 24.
3/8 of the pizza is (3/8) * (24/8) = 3/24
1/3 of the pizza is (1/3) * (24/3) = 8/24
So, the total portion of the pizza that was covered before Mrs. Magsanoc returned is 3/24 + 8/24
Which is 11/24 or 0.458 of the pizza.
Step-by-step explanation:
For one kindergarten class in his district, a researcher determines which children already can read simple words and which children cannot upon entering kindergarten. The children are followed until third grade, at which point they are tested to determine the grade level at which they are reading. Those children who were reading simple words upon entering kindergarten are found to be reading at a higher level than those who could not read simple words upon entering kindergarten. Fill in the Blank: The researcher _____________________________. Select one: a. can conclude that children should be taught to read in preschool, as there are clear benefits to reading early. b. needs to check the reading level of the children's parents. c. cannot establish a cause-and-effect relationship because the study did not use a random sample of kindergarten students. d. finds these results beneficial, as there may be confounding variables in this study. e. needs to retest in sixth grade or no conclusions can be reached.
The correct answer is that we cannot conclude that being able to read is beneficial for them as there can be various cause and effect relation.
A research is conducted to collect information about a specific topic for the purpose of study. A group of population is asked to fill a survey form or answer questions based on the research topic.
This data is collected and analyzed to get the required result.
Here, in this question kindergarten students are the population from whom data is collected . Here, the conclusion is that having the ability to read and write from before only doesn't means they will have academic intelligence later.
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Zeke's Steakhouse has two locations in Alabama. Suppose Zeke would like to test to see if there is a difference in population mean customer bill (per person) at his two locations (1,2). Random samples of bills are taken for each location and the following data are recorded: Sample 1: n1= 25, X 1 = $22.44, s1= $6.25 Sample 2: n2= 36, X 2 = $16.23, s2= $3.11 What is the test statistic assuming unequal population standard deviations?
The test statistic assuming unequal population standard deviations for the given data is 4.585.
A test statistic is a quantity computed from sample data to assess the likelihood of obtaining the observed results under the null hypothesis.
The given problem requires a two-tailed t-test with unequal standard deviations.
Given that:
Sample 1:
\(n_1= 25,\\X_1 = $22.44,\\s_1= $6.25\)
Sample 2:
\(n_2= 36,\\X_2 = $16,\\s_2= $3.11\)
The formula for the test statistic in the two-sample t-test with unequal variances is calculated as follows:
\(t = \dfrac{(X_1 - X_2)}{\sqrt{(\frac{s_1^2}{n_1}) + (\frac{s_2^2}{n_2})}}\)
\(= \dfrac{(22.44 - 16.23)}{\sqrt{(\frac{6.25^2}{25}) + (\frac{3.11^2}{36})}}\\= \dfrac{(22.44 - 16.23)}{\sqrt{(1.5625 + 0.269225)}}\\= \dfrac{6.21}{\sqrt{1.831725}}\\\approx 4.585\)
Thus, the test statistic is 4.585 assuming unequal population standard deviations.
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Lessons > Review for Test 4What is the equation of the following graph?AOA. f(1) = 4(4)B. f(t) = 4(2-)C. f(x) = {(4)
We will have the following:
We can see that the function follows a path of exponential decay, so the expression that models it is:
\(f(x)=4(\frac{1}{2})^x\)let w5 be the vector space of all functions defined on [0, 1], and let w1, w2, w3, and w4 be defined as shown below. w1 = set of all polynomial functions that are defined on [0, 1] w2 = s
In the vector space W5, which consists of all functions defined on the interval [0, 1], we have four specific subspaces: W1, W2, W3, and W4.
W1 is the set of all polynomial functions defined on [0, 1], while W2 is the set of all functions that are continuous on [0, 1]. W3 is the set of all differentiable functions on [0, 1], and W4 is the set of all integrable functions on [0, 1]. These subspaces represent different types of functions within the vector space W5, each with its own distinct properties and characteristics.
To elaborate further, W1 consists of polynomial functions which can be expressed as a sum of monomials with coefficients. These functions are defined on the interval [0, 1] and can have various degrees. W2 includes functions that exhibit continuity, meaning they have no abrupt changes or breaks in their graphs within the interval [0, 1]. W3 comprises functions that are differentiable, indicating that they have well-defined derivatives at every point in the interval [0, 1]. Finally, W4 encompasses integrable functions, which can be integrated over the interval [0, 1] to yield a finite value.
In summary, the vector space W5 contains various subspaces such as W1 (polynomial functions), W2 (continuous functions), W3 (differentiable functions), and W4 (integrable functions). These subspaces represent distinct classes of functions within W5, each with its own specific properties and behaviors. Understanding these subspaces helps in studying and analyzing functions in the broader vector space.
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You number each subject in the population. Then place numbered cards in a bowl, mix them thoroughly, and select as many cards as needed. This is an example of which sampling method? ç”æ¡ˆé€‰é¡¹ç»„ Random Sampling Stratified Sampling Cluster Sampling Systematic Sampling
The described sampling method is an example of random sampling.
The sampling method described in the question is known as simple random sampling, which is a common method of selecting a representative sample from a population.
In this method, each member of the population is assigned a unique number, and a certain number of individuals are selected randomly from the population.
Simple random sampling is a type of probability sampling, which means that each member of the population has an equal chance of being selected for the sample.
This is important because it ensures that the sample is representative of the population as a whole, and reduces the risk of sampling bias.
The process of simple random sampling is straightforward and easy to implement, making it a popular choice for researchers. However, it can be time-consuming and may not be practical for very large populations. In such cases, other sampling methods such as stratified sampling or cluster sampling may be more appropriate.
Overall, simple random sampling is a reliable and effective method of selecting a representative sample from a population, and is widely used in research studies and surveys.
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Need help with this question
125 x 57- 20 x 57 - 285
Answer:
5700
125 x 57 = 7125
20 x 57 = 1140
7125 - 1140 = 5985
5985 - 285 = 5700
from the question ,the answer is 262,200.
you bought a pair of jeans for $42.95 and a sweater for $36.99 . what was the cash price including a 5% sales tax?
Answer:
Step-by-step explanation:
jeans $42.95
sweater + $36.99
total = $69.94
tax + 5% ($3.497 round to nearest hundredth ($3.50))
total with tax = 73.44
hope this helped!!!! let me know if you need anymore help with this :) have a good day!
4. researches investigated the effect of listening to music by mozart before taking an iq test. subjects were randomly assigned to one of three groups and would either listen to mozart music, be told to relax, or be given no instructions. the sample mean iq in the mozart group was 119, in the relax group was 111, and in the silent group was 110. a. is this an experiment or an observational study? b. if it is an experiment, is it randomized or block design? c. if it is an experiment, identify the explanatory and response variables. d. if this is an experiment, draw a diagram representing the levels and treatments.
a) the study has been done by controlling the groups hence it is an experiment.
b) The persons are assigned randomly o each group hence it is a randomized design.
c) the explanatory and response variables. are:
Effect of listening to music by Mozart
IQ of the person
What are an experiment and observational study?
In observational research, participants are measured or surveyed without any attempt to influence them. In a controlled experiment, participants or objects are divided into groups, and one group is given treatment while the other is not.
What are randomized or block designs?
An experimental design known as a randomized block design divides the experimental units into units known as blocks. The experimental units inside each block are assigned the treatments at random. We have a fully randomised block design when each block has at least one instance of each treatment.
a. Is this an experiment or an observational study?
Since the study has been done by controlling the groups hence it is an experiment
b. If it is an experiment, is it randomized or block design?
Since the persons are assigned randomly o each group hence it is a randomized design
c. If it is an experiment, identify the explanatory and response variables.
explanatory variable = effect of listening to music by Mozart
response variable = IQ of the person
(d)Three levels of the treatment effect of listening to music by Mozart
level 1: listen to Mozart's music
level 2: told to relax
level 3: no instructions
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Please help! I will mark brainliest if you are correct
An atom of silicon is approximately 0.00000000025 meters wide. How do you express that number in scientific notation? O 25 10-10 meters O 2.5 × 10-11 meters O 2.5 1010 meters O 2.5 x 10-10 meters
Answer:
.00000000025 = 2.5 * 10^-10
Looks like the last one
Can also write
2.5E-10
An initial investment of $150,000 grows at 22% per year. What function represents the value of the investment after t years?
Answer:
150000(1.22)^t
Step-by-step explanation:
A-150000
R- 0.22 plus the 1 since it’s positive y=A(1+r)
Sooo 150000(1+0.22)^t
HELP PLEASE ANYONE
Derrick has 3 times as many CDs as Joshua. Which equation compares the number of CDs that the two boys have? (Let d = number of Derrick's CDs and j = number of Joshua's CDs.) O A. 3d = j E ов O B. 3j = d c C. 3 + d = j OD. 3 + j = d
Answer:
b
Step-by-step explanation:
joshua times 3 is basically derrick's amount
so 3j = d
Which of the following ordered pairs make this equation true? Y = 2x - 7 A. (1,9) B. (-3, 4) C. (4,1) D. (-1, 5)
Answer:
(4,1)
Step-by-step explanation:
Using substitution you can determine that 2*4-7 is in fact equal to 1
can some one also please help my one that i should do after i finds the area of the square aka how to find the area of the triangle.
Answer:
6 square units
Step-by-step explanation:
Given shape is of a trapezoid:
\(area \: of \: trapezoid \\ = \frac{1}{2} \times (4 + 2) \times 2 \\ \\ = 6 \: {units}^{2} \)
Area of shape = area of square + area of triangle
\( = 2^2 + \frac{1}{2} \times 2\times 2\\
= 4 + 2\\
= 6\: units^2 \\\)
A scientist observes the bacteria’s growth. In the first observation, there were 12 bacteria, 24 in the second observation, 48 in the third and so on. How many bacteria will be there in the 8th observation? Use the explicit formula.
1,536
28
126
27
Answer:
Step-by-step explanation:96 in the fourth since they are adding the answer itself two times before you get the other like 12 bacteria and then 24 so that means 12 + 12 is 24 and the third one 48 so 24 +24 =48
fourth 48 + 48=96
fifth 96+96=192
sixth 192+192=384
seventh 384+384=768
last but not least 768+768 = 1536
so your answer is 1,536