: A bottle that is 1/3 full would have what number recorded in inventory if you record to the nearest tenth?
The value of 1/3 of the volume of a bottle recorded in inventory is
rounded to the nearest tenth to give 0.3 of a bottle.
How can the correct value to record be known?The amount of the content in the bottle = 1/3 × The volume of the bottle
1/3 = \(\mathbf{0.\overline 3}\) = 0.333.....
Rounding the above value to the nearest tenth, we have;
The second digit after the decimal place is less than 5, which gives;
1/3 ≈ 0.3
Given that the values in the inventory, we have;
In the inventory, the value to be recorded is 0.3 of a bottle.
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water is pouring at a constant rate into a tank that is a 4-foot-high rectangular solid. if the warer was turned on at 11:00 and if at 11:25 the depth of the water in the tank was 4 inches, at what time was the pool full
The time at which the pool was full is 4:00 when the water is in the 4 inches tank .
What is multiplication?In mathematics, multiplication is one of the four basic arithmetic operations. It represents the basic idea of repeated addition of the same number.
Equating the time when pool be full :The height of the tank is 4 feet water pouring is turned on at 11:00 at 11:25 the depth of the water in the tank is 4 inches.
which means,
To fill 4 inches it takes = 25 min
To fill 1 inch it takes = 25/4 min 4 feet = 4×2.54 = 48 inches
To fill 48 inches it takes = 48 × 25/4
= 300 min
= 5 hours
So, 5 hours after 11:00 will be 4:00
Hence, the time at which the pool was full is 4:00
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A cone is sliced by a vertical plane and passes through the vertex, what is the resulting cross section?
If a cone is sliced by a vertical plane that passes through the vertex, the resulting cross section will be a triangle.
The vertical plane cuts through the cone at its highest point, which is also the point where the two sides of the cone meet (i.e. the vertex). As the plane cuts through the cone, it intersects with the sloping sides of the cone at different angles, creating a triangular shape.
The resulting cross section will have the same base as the original cone, which is a circle. However, the height of the cross section will be shorter than the height of the original cone, since the vertical plane has removed a portion of the cone.
Overall, the resulting cross section will be a triangle with a circular base, which is often referred to as a frustum. This shape is commonly used in architecture and engineering, as it allows for tapered structures such as pillars and columns to be created.
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g=2/3a solve for a
18ag=12 solve for a
U=2x—4 solve for x
2x+4=u+8 solve for x
Answer:
soln,
here,1st and 2nd case for a
1st case
so,a=3/2g.
2nd case
a=2/3g.
3rd and 4th case for X
3rdcase
(U+4)/2=X
X=(U+4)/2.
4th case
X=(U+4)/2.
A fireman’s ladder leaning against a house makes an angle of 62 with the ground. If the ladder is 3 feet from the base of the house, how long is the ladder?
In the given scenario ladder is 6.52 feet long.
Given that,
The angle between ground and ladder = 62 degree
The distance of ladder from ground and ladder = 3 feet
We have to find the length of ladder.
Since we know that,
The trigonometric ratio
cosθ = adjacent/ Hypotenuse
Here we have,
Adjacent = 3 feet
Hypotenuse = length of ladder
Thus to find the length of ladder we have to find the value of hypotenuse.
Therefore,
⇒ cos62 = 3/ Hypotenuse
⇒ 0.46 = 3/ Hypotenuse
⇒ Hypotenuse = 3/0.46
= 6.52
Thus,
length of ladder = 6.52 feet.
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are the events "having the virus" and "testing positive" independent? show your work
Answer:
Step-by-step explanation:
Work out 3x-y divided by 2.
When x=9 and y=2
Answer:
19682
Step-by-step explanation:
3^9-2÷2
19683-2÷2
19683-1
19682
try this instead
Hey there!
3x - y / 2
= 3(9) - 2 / 2
= 27 - 2 / 2
= 25 / 2
= 12.5
≈ 12 1/2
Therefore, your answer is: 12.5
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Kimmie wants to earn money by baking and selling cookies. She works up a business plan and finds her cost and revenue functions whose graphs are shown above in red and blue, respectively.(someone please help I’ve been struggling with this 1 problem for the past hour)
a) how many cookies must be produced and sold to break even?
b) what is the dollar amount coming in and going out if Kimmie just breaks even?
c) Use the formulas to write Kimmie’s profit function, P(x), from producing and selling x cookies.
d) how much profit will Kimmie earn if she produces and sells 470 cookies?
Answer:
profit of 240
Step-by-step explanation:
credit to the person above me
Help me ;-;
Enter a number in each box so that the expressions are equivalent.
(A) 0.8 (2x + x) + 3(7 - 4.1x) = x + 21
(B) 12
1
2
(6x + 22y) = x + y
(C) (3x - ) - (6x + 1) = -3x - 2
(D) 112
1
2
x + 27y = (12
1
2
x + 9y)
Therefore , the solution of the given problem of linear equation is x's coefficient is -9.9,x's coefficient is 75 and y's coefficient is 275.
How a linear equation is defined ?A model of linear regression is one that applies the formula y=mx+b. B is the slope, and m is the y-intercept. Ignoring the fact that while both y and y are distinct components, the previous sentence is frequently referred as a "mathematical formula with two variables." Bivariate linear equations only have two variables. The application domains of linear equations have zero solutions in all cases.
Here,
Given :
=>0.8 (2x + x) + 3(7 - 4.1x) = __x + 21
=>0.8(3x) + 21 - 12.3x = __x + 21
=>2.4x + 21 - 12.3x = __x + 21
=>-9.9x + 21 = __x + 21
=> -9.9
=> 12 1/2 (6x + 22y) = x + y
=> 75x + 275y = x + y
Therefore , the solution of the given problem of linear equation is x's coefficient is -9.9,x's coefficient is 75 and y's coefficient is 275.
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Given 12 different 2-digit numbers, show that one can choose two of them such that their difference is a two-digit number with identical first and second digit
Step-by-step explanation:
there are 91 2-digit numbers : 10 ..99
and there are 9 2-digit numbers with identical first and second digit : 11, 22, 33, 44, 55, 66, 77, 88, 99
99 has to be excluded, because there are no 2 2- digit numbers that I can subtract from each other and get 99.
so, e are dealing with 8 possibilities.
88 = 99-11
98-10
77 = 99-22
98-21
97-20
...
78-1
66 = 99-33
98-32
...
67-1
...
11 = 99-88
98-87
...
12-1
all the double- digit numbers are 11 apart. so, by picking 12 numbers, I have to have at least one that I can combine with one of the other 11 to get a double-digit number.
A 5-pound bag of flour costs $12.80. What is the price per ounce?
according to mark cherry, in 2008, in the united states, how many patients were waiting for and organ transplant/donation and how many actually received an organ transplant?
There are many more people awaiting such a transplant than there are available organs, leading to a large backlog of patients who are not able to receive an organ transplant.
In 2008, the United States Department of Health and Human Services reported that there were approximately 113,000 patients in the United States awaiting organ transplants. Of those, only 28,535 received an organ transplant that year. This is a ratio of approximately 1 in 4. This can be expressed mathematically as 28,535/113,000 = 0.25, or one fourth. This means that for every 4 people awaiting an organ transplant in the United States in 2008, only 1 actually received one. While organ transplants are a life-saving procedure for many, the reality is that there are many more people awaiting such a transplant than there are available organs, leading to a large backlog of patients who are not able to receive an organ transplant.
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Complete question:What were the numbers of patients waiting for and receiving an organ transplant/donation in the United States in 2008, according to Mark Cherry?
A normal population has a mean of $75 and standard deviation of $5. You select random samples of 40. a Apply the central limit theorem to describe the sampling distribution of the sample mean with » = 40. What condition is necessary to apply the central limit theorem?
The Central Limit Theorem states that for a random sample of n observations drawn from any population with a finite mean μ and a finite standard deviation σ, the sampling distribution of the sample mean approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution.
To apply the Central Limit Theorem, the following condition is necessary:
1. The random sample should be selected from a population that has a finite mean (μ) and a finite standard deviation (σ).
In this case, the population mean is given as $75 and the population standard deviation is given as $5. Since both the mean and standard deviation are finite, the condition for applying the Central Limit Theorem is satisfied.
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The average expenditure for hip replacement is $12,485 for country A and 14,438 for country B. the P value(two tailed) is 0.063. What do the data determine in this scenario? a. if average expenditure in country A can predict expenditure in country B b. if there is a relationship in average expenditure between the two countries c. if there is difference in average expenditure between the two countries d. if the average expenditure in country A and country B are normally distributed A sample of rural residents was surveyed to determine the number of times for residents saw a primary care provider in one year. On average, the participants saw their provider 3.3 times per year. ( 95% confidence interval 0.1 to 6.1 ) why was this of statistical use for this sample? a. It was a count variable b. It was a categorical variable c. It is a binary variable d. It is a ratio variable Administrators at a rural hospital want to determine causes for their financial distress. In doing so, they have identified that the average operating margin for a rural hospital is −1.32% (stander deviation is ±0.89% ) Why is the average operating margin appropriate to use in this situation? a. It is a measure of the fifth percentile b. it identifies the range of the data c. it identifies the outliers in the data d. it is a measure of central tendency Ebola is transmitted through human contact. although relief agencies sent medical team to provide treatment the impacted communities prefer to maintain isolation against outsiders. the distrust of outsiders 'cause a hesitancy to accept treatment. which consideration factor will ultimately contribute to the spread of Ebola? a. the influence of non-indigenous people b. the population density of the affected area c. dry and air climates which suits the virus d. the cultural influence of the community Last year a developing country had 1500 reported cases of malaria. during that time there were 400 deaths reported from the disease: 300 of the disease were people over age 18 , in 100 deaths were people underage 18 . What is the case fatality rate? 100∗100/400=25 400∗10/1500=2.67 100∗10/400=2.5 400∗100/1500=26.67
The case fatality rate is 400 * 100 / 1500 = 26.67 (option d).
For the first scenario, the data determine that there is a difference in average expenditure between the two countries (option c). The P-value of 0.063 suggests that there is a moderate level of statistical significance, indicating that the difference in average expenditure is likely not due to random chance.
In the second scenario, the fact that the 95% confidence interval for the average number of times participants saw their provider per year (3.3) ranges from 0.1 to 6.1 is of statistical use because it provides a range estimate within which the true population means is likely to fall. This interval helps account for the uncertainty associated with the sample estimate and provides a measure of the precision of the estimate (option a).
For the third scenario, the average operating margin is appropriate to use because it is a measure of central tendency that represents the typical financial performance of rural hospitals. The standard deviation provides information about the variability of the operating margins (option d).
In the fourth scenario, the consideration factor that will ultimately contribute to the spread of Ebola is the population density of the affected area (option b). While factors like the influence of non-indigenous people and climatic conditions may play a role, population density is a key determinant in the transmission and spread of infectious diseases.
For the fifth scenario, the case fatality rate is calculated by dividing the number of deaths from the disease (400) by the total reported cases (1500) and multiplying by 100. Therefore, the correct calculation is 400 * 100 / 1500 = 26.67 (option d). This indicates that the case fatality rate is approximately 26.67%.
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What is a nonlinear graph called?
Any function whose graph is NOT a line is said to be nonlinear. It has the equation f(x) = ax + b. With the exception of the form f(x) = ax + b, its equation can take any form. Any two points on the curve have the same slope.
To ascertain whether a table of values is a linear function, follow these steps:
Find the variations between each pair of x numbers that follow.Find the variations between each pair of y values that follow.Discover the matching ratios between y and x differential amounts.Only the function is linear if all ratios are NOT equal.Learn more about graph Visit: brainly.com/question/19040584
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pls help ill mark brainliest
Answer:
The answer is B. No only Zack will finish.
Step-by-step explanation:
Adam reads 1/8 of a book in 1/6 of an hour. How much time does it take for him to read the whole book?
Let the time taken to read the whole be y
If he reads 1/8 of the whole book (x), it can be expressed as,
\(\frac{1}{8}\text{ of x =}\frac{1}{8}\times x=\frac{x}{8}\)If it takes Adam to read x/8 of a book in 1/6 hours,
To read the whole book, it will take Adam,
\(\begin{gathered} Adam\text{ read }\frac{x}{8}\text{ in }\frac{1}{6} \\ To\text{ read the whole book (x) in y time} \\ y\times\frac{x}{8}=x\times\frac{1}{6} \\ \frac{xy}{8}-\frac{x}{6} \\ \text{Crossmultiply} \\ 6\times xy=8x \\ \text{Divide both sides by }6x \\ \frac{6xy}{6x}=\frac{8x}{6x} \\ y=\frac{4}{3}=1\frac{1}{3}hours \end{gathered}\)Hence, it will take 1 1/3 hours for Adam to read the whole book.
Solid A and solid B are
mathematically similar. The ratio
of the volume of A to the volume
of B is 125: 64
If the surface area of A is 400 cm
what is the surface of B?
The surface area of solid B is 1024 cm².
If the solids A and B are mathematically similar, it means that their corresponding sides are in proportion, including their volumes and surface areas.
Given that the ratio of the volume of A to the volume of B is 125:64, we can express this as:
Volume of A / Volume of B = 125/64
Let's assume the volume of A is V_A and the volume of B is V_B.
V_A / V_B = 125/64
Now, let's consider the surface area of A, which is given as 400 cm².
We know that the surface area of a solid is proportional to the square of its corresponding sides.
Surface Area of A / Surface Area of B = (Side of A / Side of B)²
400 / Surface Area of B = (Side of A / Side of B)²
Since the solids A and B are mathematically similar, their sides are in the same ratio as their volumes:
Side of A / Side of B = ∛(V_A / V_B) = ∛(125/64)
Now, we can substitute this value back into the equation for the surface area:
400 / Surface Area of B = (∛(125/64))²
400 / Surface Area of B = (5/4)²
400 / Surface Area of B = 25/16
Cross-multiplying:
400 * 16 = Surface Area of B * 25
Surface Area of B = (400 * 16) / 25
Surface Area of B = 25600 / 25
Surface Area of B = 1024 cm²
As a result, solid B has a surface area of 1024 cm2.
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HELPPPP
find value of x and y
describe the apparent relationship between the two variables under consideration. choose the correct choice below. a. test score remains constant as the number of study hours increases. b. test score tends to decrease as the number of study hours increases. c. test score tends to increase as the number of study hours increases. d. there is no apparent relationship between study hours and test score.
Based on the given information, the question is asking about the apparent relationship between two variables: study hours and test score. The correct answer is c.
Test score tends to increase as the number of study hours increases. This suggests a positive correlation between the two variables, meaning that as one variable (study hours) increases, the other variable (test score) also tends to increase.
The apparent relationship between the two variables under consideration, which are study hours and test score, can be described as follows:
Your answer: c. Test score tends to increase as the number of study hours increases.
This is because, generally, the more time a person spends studying, the better their understanding of the material, which often leads to a higher test score.
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Solve for x. The answer to each problem will match a letter that will allow you to figure out the joke. 1. 5x – 7 = 4x + 3
2. 6 + 2x = 7x – 9
3. 8x + 1 = -8 – x
4. -5 + 12x = 18x + 7
5. -4x + 3 = 5x – 13 - x
The letters corresponding to the solutions are: x = 10, x = -3/2, x = -1/9, x = -6, x = 10/3 That gives you the letters "joke"1. 5x – 7 = 4x + 3.
To solve for x, we can add 7 to both sides of the equation and subtract 4x from both sides:
5x - 7 + 7 = 4x + 3 + 7
5x = 4x + 10
x = 10
2. 6 + 2x = 7x - 9
To solve for x, we can add 9 to both sides of the equation, subtract 6 from both sides and divide both sides by -1:
6 + 2x + 9 = 7x - 9 + 9
2x = -3
x = -3/2
3. 8x + 1 = -8 - x
To solve for x, we can add x to both sides of the equation and add 8 to both sides:
8x + 1 + x = -8 - x + x + 8
9x + 1 = 0
x = -1/9
4. -5 + 12x = 18x + 7
To solve for x, we can subtract 12x from both sides of the equation and add 5 to both sides:
-5 + 12x - 12x = 18x + 7 - 12x
-5 = 6x + 7
x = -6
5. -4x + 3 = 5x - 13 - x
To solve for x, we can add x to both sides of the equation, subtract 3 from both sides and divide both sides by -1:
-4x + 3 + x = 5x - 13 - x + x + 3
-3x = -10
x = 10/3
The letters corresponding to the solutions are: x = 10, x = -3/2, x = -1/9, x = -6, x = 10/3
That gives you the letters "joke"
Therefore, The letters corresponding to the solutions are: x = 10, x = -3/2, x = -1/9, x = -6, x = 10/3 That gives you the letters "joke"1. 5x – 7 = 4x + 3.
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Given the system of linear equations ... \[ \left\{\begin{array}{c} x+2 y+3 z=9 \\ 2 x-y+z=8 \\ 3 x-z=3 \end{array}\right. \] 1) Write the system in the matrix form \( A . X=B \) (2 points) 2) Solve t
The solution of the system of equations is \(\[x=3,\text{ }y=0,\text{ and }z=2\]\).
As per data the system of linear equations,
\(\[ \left\{\begin{array}{c} x+2 y+3 z=9 \\ 2 x-y+z=8 \\ 3 x-z=3 \end{array}\right. \] 1)\)
Write the system in the matrix form \(\( A . X=B \)\)
We know that the matrix form of the system of linear equations is as follows.
\(\[A. X = B\]\)
Where
\(\[A=\begin{pmatrix} 1 & 2 & 3 \\ 2 & -1 & 1 \\ 3 & 0 & -1 \end{pmatrix}\[X=\begin{pmatrix} x \\ y \\ z \end{pmatrix}\]\)
and
\(\[B=\begin{pmatrix} 9 \\ 8 \\ 3 \end{pmatrix}\]2)\)
To solve the system, we can use row reduction method.
\(\[\begin{pmatrix} 1 & 2 & 3 & 9 \\ 2 & -1 & 1 & 8 \\ 3 & 0 & -1 & 3 \end{pmatrix}\]\)
Applying the elementary row operations
\(\[R_{2}\to R_{2}-2R_{1}\]\)
and
\(\[R_{3}\to R_{3}-3R_{1}\]\)
we get,
\(\[\begin{pmatrix} 1 & 2 & 3 & 9 \\ 0 & -5 & -5 & -10 \\ 0 & -6 & -10 & -24 \end{pmatrix}\]\)
Now applying the elementary row operations
\(\[R_{3}\to R_{3}-(6/5)R_{2}\]\)
we get,
\(\[\begin{pmatrix} 1 & 2 & 3 & 9 \\ 0 & -5 & -5 & -10 \\ 0 & 0 & -1 & -2 \end{pmatrix}\]\)
Now, we need to apply back substitution method. Using the third row, we can get the value of z as z = 2.
Now, using the second row,
\(\[-5y - 5z = -10\]\\\-5y - 5(2) = -10\]\)
Solving this equation, we get y = 0.
Finally, using the first row, we can get the value of x as
\(\[x + 2y + 3z = 9\]\\x = 3\]\)
Hence, the solution of the system of equations is \(\[x=3,\text{ }y=0,\text{ and }z=2\]\).
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Which is an example of a statistical question?
Questions
Question 1 How many pets does Alisha have at home?
Question 2 How old were you when you got your first pet?
Question 3 Do you like having a pet?
Question 4 What is Alisha’s pet’s name?
A question 1
B question 2
C question 3
D question 4
Answer:
Question 2
Step-by-step explanation:
divdtihcdyuvftujvfujvfubf
Answer:
2
Step-by-step explanation:
400 mL of squash is made with mixing 50 mL of cardial with water what fraction of the mixture is water give your answer answer in simplest form
Answer:
1
___
8
Step-by-step explanation:
50 out of 400 ml of the drink is water 50 divided by 400 is 1/8.
What are the uses of Dijkstra's algorithm?
Answer:
"Dijkstra's algorithm is an algorithm for finding the shortest paths between nodes in a weighted graph, which may represent, for example, road networks."
Answer:
"Dijkstra's algorithm is an algorithm for finding the shortest paths between nodes in a weighted graph, which may represent, for example, road networks."
Step-by-step explanation:
9j^6k^2(j^8k^7+j^5k^4-8j^2k)
please give steps
The simplified expression is 9j¹⁴k⁹ + 9j¹¹k⁶ - 72j⁶k².
What is expression?When you use operations like addition, subtraction, multiplication, division, exponentiation, and other operations to combine numbers and variables.
Expressiοns in math are mathematical statements that have a minimum οf twο terms cοntaining numbers οr variables, οr bοth, cοnnected by an οperatοr in between. The mathematical οperatοrs can be οf additiοn, subtractiοn, multiplicatiοn, οr divisiοn. Fοr example, x + y is an expressiοn, where x and y are terms having an additiοn οperatοr in between. In math, there are twο types οf expressiοns, numerical expressiοns - that cοntain οnly numbers; and algebraic expressiοns- that cοntain bοth numbers and variables.
To simplify the expression 9j⁶k²(j⁸k⁷ + j⁵k⁴ - 8j²k), we need to distribute the factors and simplify the resulting terms:
9j⁶k²(j⁸k⁷ + j⁵k⁴ - 8j²k)
= 9j⁶k²j⁸k⁷ + 9j⁶k²j⁵k⁴ - 72j⁸k³
= \(9j^{(6+8)}k^{(2+7)} + 9j^{(6+5)}k^{(2+4)} - 72j^{(8-2)}k^{(3-1)\)
= \(9j^{14}k^9 + 9j^{11}k^6 - 72j^6k^2\)
Therefore, the simplified expression is 9j¹⁴k⁹ + 9j¹¹k⁶ - 72j⁶k².
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Find the median:
30, 14, 26, 9, 25, 18, 29, 23, 16, 26
Answer:
23
Step-by-step explanation:
put the numbers in numerical order and then cross off on both sides until there is only one number left (look at the process below!)
9,14,16,18,23,25,26,26,30
14,16,18,23,25,26,26
16,18,23,25,26
18,23,25
23
If 8n = 128, n equals:
Answer:
8n is the same as 8 times a number.
That means...
Continuation:
\(8 * n = 128\)
\(128 \div 8 = n\)
\(128 \div 8 = 16\)
Therefore, n is 16.
30. the intelligence quotient (iq) test scores for adults are normally distributed with a population mean of 100 and a population standard deviation of 15. what is the probability we could select a sample of 50 adults and find that the mean of this sample is between 98 and 103. * a. 0.3264 b. 0.9428 c. 0.4702 d. 0.7471
The probability of selecting a sample of 50 adults and finding that the mean of this sample is between 98 and 103 is approx b). 0.9428.
The intelligence quotient (IQ) test scores for adults are normally distributed with a population mean of 100 and a population standard deviation of 15. The standard deviation of the mean of a sample of 50 adults can be calculated as the population standard deviation divided by the square root of the sample size, or 15/√50 = 1.58.
Using a standard normal distribution table, the probability of selecting a sample of 50 adults and finding that the mean of this sample is between 98 and 103 can be calculated as the area under the standard normal curve between the z-scores corresponding to 98 and 103. These z-scores can be calculated using the formula z = (x - mean) / standard deviation, where x is the value of interest and mean is the population mean. The z-score for 98 is (98 - 100) / 1.58 = -1.27, and the z-score for 103 is (103 - 100) / 1.58 = 2.53.
The area under the standard normal curve between -1.27 and 2.53 can be found using a standard normal distribution table or a calculator with normal distribution functions. The probability of selecting a sample of 50 adults and finding that the mean of this sample is between 98 and 103 is approximately 0.9228, which is closest to the answer choice b. 0.9428.
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HELP I NEED HELP ASAP
Answer:
C
Step-by-step explanation:
the first person's grows in a line/ with a slope and the second persons grows with a growth rate (the percent).
Answer:
C
Step-by-step explanation:
and forvthe explination the other person explained pretty well