Answer:
Step-by-step explanation:
70% or more 70% is most likely a b-
a survey found that 76% of americans do their shopping online. in a sample of 60 people, how many people are expected to do their shopping online?
Number of people that expected to do their shopping online in a sample of 60 is 46
To determine the expected number of people who do their shopping online in a sample of 60 people, you can use the following formula:
Expected number = Sample size x Percentage
Substituting the values from the question, we get:
Expected number = 60 x 0.76
Expected number = 45.6
Since you can't have a fractional person, you can round this up or down to the nearest whole number. In this case, it makes sense to round up, since you can't have a partial person.
Therefore, we can expect that about 46 people in a sample of 60
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A
shift worker clocks in at 1730 hours and clocks out at 0330 hours.
How long was the shift?
To calculate the duration of the shift, you need to subtract the clock-in time from the clock-out time.
In this case, the shift worker clocked in at 1730 hours (5:30 PM) and clocked out at 0330 hours (3:30 AM). However, since the clock is based on a 24-hour format, it's necessary to consider that the clock-out time of 0330 hours actually refers to the next day.
To calculate the duration of the shift, you can perform the following steps:
1. Calculate the duration until midnight (0000 hours) on the same day:
- The time between 1730 hours and 0000 hours is 6 hours and 30 minutes (1730 - 0000 = 6:30 PM to 12:00 AM).
2. Calculate the duration from midnight (0000 hours) to the clock-out time:
- The time between 0000 hours and 0330 hours is 3 hours and 30 minutes (12:00 AM to 3:30 AM).
3. Add the durations from step 1 and step 2 to find the total duration of the shift:
- 6 hours and 30 minutes + 3 hours and 30 minutes = 10 hours.
Therefore, the duration of the shift was 10 hours.
How do I find the equation to graph housing inflation over time if the inflation rate is 2.37% a year and the current cost of the house is 224200 Thank you
To calculate inflation, the following equation is given
\(i=(\frac{p_2}{p_1})^{1/n}-1\)where i represents the inflation rate(in decimals), p1 the starting value of the house, p2 the value of the house after a amount of n years.
If we use this equation for a house with a current cost of $224,200 and an inflation of 2.37%, we're going to have
\(0.0237=(\frac{p_2}{224200})^{1/n}-1\)To calculate the how much the house will be worth in 2 years, we substitute n for 2 and solve for p2.
\(\begin{gathered} 0.0237=(\frac{p_2}{224200})^{1/2}-1 \\ 1.0237=(\frac{p_2}{224200})^{1/2} \\ 1.0237^2=(\frac{p_2}{224200}) \\ p_2=1.0237^2\cdot224200 \\ p_2=234953.010898 \\ p_2\approx234953.01 \end{gathered}\)Three friends all live on the same street that runs west to east. Ben lives 7 blocks from Ann. Carol lives 2 from Ben. If the street is represented by a number line and Ann's house is located at 0, what are the possible locations for 's house?
Answer:
Just use your number line for help but you have to figure out if the numbers are positive or negative.
Step-by-step explanation:
If Ann lives at 0 and ben lives 7 blocks from Ann then you would say ben lives a number 7 on the number line and Carol lives 2 blocks from ben then carol would live at 9.
Answer:
-9, -5,5,9
Just use a number line, it's easy.
Find the value of k and yz if y is between x and z. x y = 3 k − 2 , y z = 7 k 4 , x z = 4 k 38
Considering that y is between x and z, we have that:
The value of k is of k = 6.The length of yz is 46 units.How to find the value of k and of yz?We consider that y is between x and z, hence the length of the segment is given by:
xz = xy + yz
The separate lengths are given as follows:
xz = 4k + 38.xy = 3k - 2.yz = 7k + 4.Hence:
4k + 38 = 3k - 2 + 7k + 4.
4k + 38 = 10k + 2
6k = 36
k = 6.
Hence the length of yz is given by:
yz = 7k + 4 = 7(6) + 4 = 42 + 4 = 46 units.
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f(x) = (x-2)(x+1)
————-
x+1
Which statements describe the end behavior of the graph of the function shown? Check all that apply.
• As x to infinity, y to 1.
•As x to infinity, y to infinity
•As x to infinity, y to negative infinity
•As x to negative infinity, y to - 1
•As x to negative infinity, y to infinity
•As x to negative infinity, y to negative infinity
Answer:
As x to negative infinity, y to negative infinity
Step-by-step explanation:
A relation is shown on the graph.
A coordinate plane shows a segment going from the point negative 2 comma negative 7 to 0 comma 1 and another segment going from the point 0 comma 1 to 4 comma 3.
Which of the following gives the correct range for the relation?
−7 ≤ x ≤ 3
−7 ≤ y ≤ 3
−2 ≤ x ≤ 0
−2 ≤ y ≤ −7
Range for the relation is −7 ≤ y ≤ 3.
Correct option is B.
What is range?The set containing all the first elements of all ordered pairs of the relation R is called the domain of the relation. The set containing all the second elements is called the range of the relation.
First element is x-coordinate and second element is y-coordinate, in Cartesian plane.
Given,
Graph of the relation is as
First line segment goes from (-2, -7) to (0, 1)
Second line segment goes from (0, 1) to (4, 3)
y coordinate varies from -7 to 3
Range is the value of y-coordinate
Range of the relation
= -7 ≤ y ≤ 3
Hence, -7 ≤ y ≤ 3 is the range for the relation.
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what is 10+10+10-10+10-10^1
Answer:
20
Step-by-step explanation:
Answer:
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
Given the equation: y = 3x + 5, what is the value of ‘y’ when x = 4?
Answer:
17
Step-by-step explanation:
Input x=4 into the equation
y= 3(4)+5
y= 12+5
y=17
Answer:
y=17
Step-by-step explanation:
if x=4,
y=3(4)+5
y=12+5
y=17
if $800 is deposited into a new savings account with a simple interest rate of 1.8%, what will be the total amount int the account after 15 years?
Answer: $216
Step-by-step explanation:
(800*1.8*1.5)\100
Answer:
1,016
Step-by-step explanation:
800 * (1 + .018 * 15) = $1,016.
Solve this equation (x-10) = 18 - 4x-1
Step 1: Simplify using the distributive property.
Which number can be distributed across two terms
inside parentheses? 315 v
Step 2. Combine like terms that are on the same side of
the equation which terms can be combined?
18 and -1
Step 3: Both sides of the equation contain a variable term.
You can isolate the variable term on either the left
or right side of the equation. Isolate the variable
term by
(x-10) = 18-4x-1
x6 = 18-4x-1
X-6 = 17-4%
5
adding 4
adding 6
subtracting 17
Check
Intro
The solution to the equation (x-10) = 18 - 4x-1 is x = 5. This can be found by simplifying using the distributive property (step 1), combining like terms on the same side of the equation (step 2), and isolating the variable term on one side of the equation (step 3).
To check the solution, substitute x = 5 back into the original equation and verify that both sides are equal.
Given the equation (x-10) = 18 - 4x - 1, let's follow the steps you've outlined:
Step 1: In this equation, there is no number to distribute using the distributive property. The equation is already simplified. So, we can move on to the next step.
Step 2: Combine like terms on the same side of the equation. We can combine 18 and -1 on the right side of the equation:
(x-10) = 17 - 4x
Step 3: Isolate the variable term. To do this, we can first add 4x to both sides of the equation to move the variable term to the left side:
(x + 4x - 10) = 17
(5x - 10) = 17
Now, add 10 to both sides of the equation to isolate the variable term:
5x = 27
Finally, divide both sides by 5 to find the value of x:
x = 27/5
So, the solution to the equation (x-10) = 18 - 4x - 1 is x = 27/5.
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what is the answer to this question im having trouble 3 x 2 - x?
Answer and Step-by-step explanation:
3 x 2 - x = ? Well, if you simplify it's just 5x. But, if you are trying to solve this then you have to know what x is or what your answer is. But, if you're trying to solve 3 x 2 = x then x would equal 6. Of course, if you know the answer or what x equals then plug it in as such, let's say x = 2 then you would plug 2 in for x and solve, 3 x 2 = 6 - 2 = 4. But, if you are trying to solve for x then look at the answer, let's say it is 24 so, 3 x 2 - x = 24, x would equal -18.
Hope this helped you out! Have a wonderful day!
**Note, I didn't understand what you were asking, that's why I went into so much detail to help you out. Please, be clearer with your questions. Make sure you got all the whole question in there! Thank you!**
PLEASE HURRY!!!!!!!
Where p and q are statements, "p and q" is false if p is false. always sometimes never
The statement "p and q" is always false if p is false, regardless of the truth value of q.
The statement you provided is related to logical conjunction.
Statement: "p and q" is false if p is false.
This statement is always true.
In a logical conjunction (p and q), the resulting statement is true only if both p and q are true.
If either p or q is false, the conjunction "p and q" is false.
So, if p is false, it doesn't matter whether q is true or false; the statement "p and q" will always be false.
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solve the following system of equations using substitution
x = 4
2x + 4y = 36
Step-by-step explanation:
2x + 4y = 36
2 × 4 + 4y = 36
8 + 4y = 36
4y = 36 - 8
4y = 28
y = 28 ÷ 4
y = 7
Pleaseeeeeee. Helpppppppppppp meeeeeeeeeeee
Answer:
first tower needs 4
second needs 3
third needs 2
and the fourth needs 1
Total needed triangles for all is 10
Step-by-step explanation:
Alex needs to catch a train. The train arrives randomly some time between and , waits for minutes, and then leaves. If Alex also arrives randomly between and , what is the probability that the train will be there when Alex arrives
The probability that the train will be there when Alex arrives is 0.1.
Given that the time that train arrives between 1:00 P.M to 2:00 P.M. and waits for 10 minutes. Alex arrives between 1:00 P.M to 2:00 P.M.
We are required to find the probability that the train when Alex arrives.
Probability is the likeliness of happening an event among all the events that are possible to happen.
Probability=Number of items/total number of items.
Number of combinations of timings in which the train may have arrived=60/10=6 combinations
Number of ways in which Alex arrives at the station=60.
Probability=6/60
=1/10
=0.1
Hence the probability that the train will be there when Alex arrives ie 0.1.
Question is incomplete. The following things should be included:
Timing in which train arrives is between 1:00 P.M and 2:00 P.M.The train waits for 10 minutes. Alex arrives between 1:00 P.M and 2:00 P.M.
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No, louise is incorrect because using the order of pemdas i know that (5x3+3)2 is 36. i also know that (5x3)2+(3)2 is 36 using the order of pemdas. however the 3rd problem is 25x6+9 and using pemdas i know that this would equal 234 which is not equal to 36 therefore louise is incorrect.
Based on the calculations, we can conclude that Louise is incorrect in assuming that all three expressions are equal to 36. The correct values for the expressions are 324, 234, and 159, respectively.
The given question involves evaluating expressions using the order of operations, also known as PEMDAS. Let's break down each expression step by step:
Expression 1: (5x3+3)2
According to PEMDAS, we first perform the multiplication (5x3), which equals 15.
Then, we add 3 to get 18. Finally, we square the result, which gives us 324. Therefore, (5x3+3)2 equals 324.
Expression 2: (5x3)2+(3)2
Again, applying PEMDAS, we start with the multiplication (5x3), which equals 15. Then, we square this result, which gives us 225.
Next, we square 3, resulting in 9. Finally, we add 225 and 9, which equals 234. Therefore, (5x3)2+(3)2 equals 234.
Expression 3: 25x6+9
Using PEMDAS, we first perform the multiplication (25x6), which equals 150.
Then, we add 9 to get the final result, which is 159. Therefore, 25x6+9 equals 159.
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after 5 years, sammy has $7500 left on his student loans. with an interest rate of 8%, how much did sammy take out originally to fund his education?
Sammy originally took out approximately $5357.14 to fund his education.
Define rate of interestThe rate of interest, also known as the interest rate, is the percentage amount charged by a lender or financial institution for the use of borrowed money or for the extension of credit. It is the cost of borrowing money, typically expressed as an annual percentage of the amount borrowed or owed.
Let X be the amount Sammy took out originally to fund his education.
After 5 years, the amount he has to pay back is X + (0.08X5) = X + 0.4X = 1.4X.
We know that 1.4X = $7500, so we can solve for X:
1.4X = $7500
X = $7500 / 1.4
X ≈ $5357.14
Therefore, Sammy originally took out approximately $5357.14 to fund his education.
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Solve the following linear programming problem using the simplex method: Minimize: Z = X1 + 2X2 subject to
A. X1+3X2 ≥90
B. 8X1 +2X2 ≥ 160
C. 3X1 +2X2 ≥ 120
D. X2 ≤70
E. X1, X2 ≥ 0
The answer to the given linear programming problem, which is solved using the simplex method, is as follows:
The optimal solution to minimize the objective function Z = X1 + 2X2 is X1 = 20 and X2 = 0, with the objective function value Z = -100.
To solve the problem, we'll first convert the inequalities to equations by introducing slack and surplus variables. Then we'll set up the initial simplex tableau and iterate through the simplex algorithm until we reach an optimal solution.
⇒ Convert the inequalities to equations:
A. X1 + 3X2 + S1 = 90 (where S1 is the slack variable)
B. 8X1 + 2X2 + S2 = 160 (where S2 is the slack variable)
C. 3X1 + 2X2 + S3 = 120 (where S3 is the slack variable)
D. X2 + S4 = 70 (where S4 is the surplus variable)
⇒ Set up the initial simplex tableau:
| X1 | X2 | S1 | S2 | S3 | S4 | RHS |
----------------------------------------------
Z | -1 | -2 | 0 | 0 | 0 | 0 | 0 |
----------------------------------------------
S1 | 1 | 3 | 1 | 0 | 0 | 0 | 90 |
S2 | 8 | 2 | 0 | 1 | 0 | 0 | 160 |
S3 | 3 | 2 | 0 | 0 | 1 | 0 | 120 |
S4 | 0 | 1 | 0 | 0 | 0 | -1 | 70 |
⇒ a) Select the most negative coefficient in the Z row, which is -2. Choose the corresponding column as the pivot column (X2 column).
b) Find the pivot row by selecting the minimum ratio of the RHS value to the positive values in the pivot column. The minimum ratio is 70/1 = 70. Thus, the pivot row is S4.
c) Perform row operations to make the pivot element (1 in S4 row) equal to 1 and eliminate other elements in the pivot column:
- Divide the pivot row by the pivot element (1/1 = 1).
- Replace other elements in the pivot column using row operations:
- S1 row: S1 = S1 - (1 * S4) = 90 - 70 = 20
- Z row: Z = Z - (2 * S4) = 0 - 2 * 70 = -140
- S2 row: S2 = S2 - (0 * S4) = 160
- S3 row: S3 = S3 - (0 * S4) = 120
d) Update the tableau with the new values:
| X1 | X2 | S1 | S2 | S3 | S4 | RHS |
----------------------------------------------
Z | -1 | 0 | 0 | 0 | 2 | -2 | -140|
----------------------------------------------
S1 | 1 | 3 | 1 | 0 |
0 | 0 | 20 |
S2 | 8 | 2 | 0 | 1 | 0 | 0 | 160 |
S3 | 3 | 2 | 0 | 0 | 1 | 0 | 120 |
S4 | 0 | 1 | 0 | 0 | 0 | -1 | 70 |
e) Repeat steps a to d until all coefficients in the Z row are non-negative.
- Select the most negative coefficient in the Z row, which is -1. Choose the corresponding column as the pivot column (X1 column).
- Find the pivot row by selecting the minimum ratio of the RHS value to the positive values in the pivot column. The minimum ratio is 20/1 = 20. Thus, the pivot row is S1.
- Perform row operations to make the pivot element (1 in S1 row) equal to 1 and eliminate other elements in the pivot column.
- Update the tableau with the new values.
f) The final simplex tableau is:
| X1 | X2 | S1 | S2 | S3 | S4 | RHS |
----------------------------------------------
Z | 0 | 0 | 0 | 0 | 1 | -3 | -100|
----------------------------------------------
X1 | 1 | 3 | 1 | 0 | 0 | 0 | 20 |
S2 | 0 | -22 | -8 | 1 | 0 | 0 | 140 |
S3 | 0 | -7 | -3 | 0 | 1 | 0 | 60 |
S4 | 0 | 1 | 0 | 0 | 0 | -1 | 70 |
⇒ Read the solution from the final tableau:
The optimal solution is X1 = 20 and X2 = 0, with the objective function value Z = -100.
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Stacy earns $15 each week plus $.50 for each customer on her paper route. She wants to earn at least $25 each week. What equation can she use to find x, the number of customers she needs to make exactly $25
Answer: .50x+15=25
I hope this helps.
please help :) 1) Scientists develop knowledge by making blank about the natural world that may lead to a scientific question. 2) A scientific question may lead to a(n) blank , which can be tested. The results of blank can lead to changes in scientific knowledge.
Answer:
You just answered my question so you can ask yours, what a sped. Now i'm doing the same thing.
Step-by-step explanation:
Help needed on this similar triangle question
can you help me, please?
Answer:
The equation in slope-intercept form is \(y=\frac{1}{14}x\).
Step-by-step explanation:
Given points are;
(-14, -1 ) and (0,0)
Slope of a line is given by;
m = \(\frac{y_2-y_1}{x_2-x_1}\)
m = \(\frac{0-(-1)}{0-(-14)}\)
m = \(\frac{1}{14}\)
General equation in slope intercept form is,
y = mx + b
Putting (-14, -1) and m = 1/14 in Equation to find b
-1 = \(\frac{1}{14}(-14) +b \\\)
-1 = -1 + b
b = -1 + 1
b = 0
As y-intercept is 0, the equation in slope-intercept form would be
\(y = \frac{1}{14}x\)
Hence,
The equation in slope-intercept form is \(y=\frac{1}{14}x\).
using trig to solve for missing angle
Answer:
x = 14.0902 (After rounding to the nearest ten-thousandth)
Step-by-step explanation:
Using the bottom angle to solve x, the best option to use would be sine as we have the length for the opposite leg. Then we do the following:
Sin(69) = Opp/Hyp
Sin(69) = 14/x
0.9336 = 14/x
0.9336(x) = 14/x(x)
0.9336x = 14
0.9336x/0.9336 = 14/0.9936
x = 14.0902
Find the angle that makes them supplementary.
∠3=50 so ∠4=
∠5=70 so ∠6=
∠7=140 so ∠8=
∠9=90 so ∠10=
∠11=115 so ∠12=
Answer:
Mathematics NCERT Grade 7, Chapter 5: Lines and Angles is all about different lines, line segments, and angles.
A line segment has two end points.
A ray has only one end point (its vertex).
A line has no end points on either side.
This chapter throws light on topics such as related angles, pair of lines. The chapter deals with different types of angles and lines. The types of angles discussed in this chapter are as follows:
Pairs of Angles Condition
Two complementary angles Measures add up to 90°
Two supplementary angles Measures add up to 180°
Two adjacent angles Have a common vertex and a common arm but no common interior
Linear pair Adjacent and supplementary
A linear pair is a pair of adjacent angles whose non-common sides are opposite rays.
All the types are discussed in detail and are supplemented with examples and short questions.
Under the topic pair of lines, various sub-sections are discussed namely:
Intersecting lines
Transversal
Angles made by a transversal
When two lines intersect (looking like the letter X) we have two pairs of opposite angles. They are called vertically opposite angles. They are equal in measure.
A transversal is a line that intersects two or more lines at distinct points.
Six angles discussed in this section:
1. Interior angles
2. Exterior angles
3. Pairs of Corresponding angles
4. Pairs of Alternate interior angles
5. Pairs of Alternate exterior angles
6. Pairs of interior angles on the same side of the transversal
Transversal of parallel lines
Find the O.D.E. r(t) = sint GENERAL SOLUTION of y" + w²y = r(t) with the the w = 0.5, 0.9, 1.1, 1.5, 10 Sinusoidal driving force -use Method of undetermined coefficient of Hon Homogenous D.E. 2² +w²=0; =0; 2₁, 22 YN = Pp = Awswt +Bsinut
For the given ODE y" + w²y = r(t) with sinusoidal driving force, the general solution is a combination of sine and cosine terms multiplied by constants, determined by initial/boundary conditions.
To find the general solution of the second-order ordinary differential equation (ODE) y" + w²y = r(t), we can use the method of undetermined coefficients. Assuming that r(t) is a sinusoidal driving force, we look for a particular solution of the form YN = Awsin(wt) + Bcos(wt), where A and B are undetermined coefficients.By substituting YN into the ODE, we obtain:(-Aw²sin(wt) - Bw²cos(wt)) + w²(Awsin(wt) + Bcos(wt)) = r(t).
Simplifying the equation, we get:(-Aw² + Aw²)sin(wt) + (-Bw² + Bw²)cos(wt) = r(t).
Since the coefficients of sin(wt) and cos(wt) must be equal to the corresponding coefficients of r(t), we have:0 = r(t).This equation indicates that there is no solution for a sinusoidal driving force when w ≠ 0.
For w = 0, the ODE becomes y" = r(t), and the particular solution is given by:YN = At + B.
Therefore, the general solution for the given ODE is:
y(t) = C₁sin(0.5t) + C₂cos(0.5t) + C₃sin(0.9t) + C₄cos(0.9t) + C₅sin(1.1t) + C₆cos(1.1t) + C₇sin(1.5t) + C₈cos(1.5t) + C₉sin(10t) + C₁₀cos(10t) + At + B,
where C₁ to C₁₀, A, and B are constants determined by initial conditions or boundary conditions.
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we are worried that is measured with error in our survey. let tvhours denote the reported hours of television viewing per week. what do the classical errors-in-variables (cev) assumptions require in this application? do you think the cev assumptions are likely to hold? explain.
The classical errors-in-variables (CEV) assumptions require that the measurement error in tv hours is not related to the true value of television viewing.In other words, the error should be random and not correlated with the actual amount of time spent watching TV.
Additionally, the CEV assumptions require that the measurement error has a mean of zero and a constant variance. Whether or not the CEV assumptions are likely to hold in this application depends on several factors. One important consideration is the accuracy of the survey instrument used to collect data on tv hours.
If the survey is poorly designed or administered, it may introduce systematic measurement error that is correlated with the true value of television viewing.
Another important factor is the population being surveyed. If the population is highly diverse with respect to television viewing habits, it may be difficult to ensure that the CEV assumptions hold for all subgroups.
Overall, while it is possible that the CEV assumptions hold in this application, it is also possible that they do not. Researchers should carefully consider the potential sources of measurement error and take steps to minimize them if possible.
Additionally, sensitivity analyses can be conducted to explore the robustness of study results to violations of the CEV assumptions.
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The radius of a circle is 4 miles. What is the circle's area 3.14 for .
Answer:
50.24
Step-by-step explanation:
4^2=16
16*3.14=50.24
Answer its 25.12
Step-by-step explanation:
Calculating the Number of Periods [LO4] You expect to receive $39,000 at graduation in two years. You plan on investing it at 10 percent until you have $174,000. How long will you wait from now? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Period years
You would need to wait approximately 51.33 years from now to grow your initial investment of $39,000 to $174,000 at an interest rate of 10% per year.
To calculate the number of periods (years) required to grow an initial investment to a desired future value, we can use the formula for compound interest:
FV = PV * \((1 + r)^n\)
Where:
FV is the future value
PV is the present value (initial investment)
r is the interest rate per period
n is the number of periods
In this case:
PV = $39,000
FV = $174,000
r = 10% per year
Let's calculate the number of periods (years):
FV = PV * \((1 + r)^n\)
174,000 = 39,000 * \((1 + 0.10)^n\)
Divide both sides by 39,000:
4.4615 = \((1.10)^n\)
Take the logarithm of both sides to solve for n:
log(4.4615) = n * log(1.10)
n ≈ log(4.4615) / log(1.10)
n ≈ 2.1270 / 0.0414
n ≈ 51.33 (rounded to two decimal places)
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pls help i cant get this?? here is what it says. Which box and whisker plot correctly displays the information about the hours of study?
Answer what are the number lines for? please explain is it for the numbers
Step-by-step explanation: