Answer:
A
Step-by-step explanation:
Let's first assume that the restriction doesn't hold.
So that way we can say that we can put ANY OF THE 9 DIGITS (1-9) on ANY OF THE 4 DIGIT COMBINATIONS.
Hence,
first digit can be any of 1 through 9
second digit can be any of 1 through 9
third digit can be any of 1 through 9
4th digit can be any of 1 through 9
So the total number of possibilities will be 9 * 9 * 9 * 9 = 6561
now, let's take into account the restriction. since all 4 digits cannot be the same, so we need to exclude:
1111
2222
3333
4444
5555
6666
7777
8888
9999
That's 9 numbers. So final count would be 6561 - 9 = 6552
Answer A is right.
The correct answer is a. 6552. There are 6561 total combinations for a 4-digit bike lock. After excluding 9 combinations where all digits are the same, 6552 combinations remain.
To determine the total number of possible combinations for a 4-digit bike lock with digits ranging from 1 to 9, we start with the total unrestricted possibilities. Each digit has 9 options (1 through 9), so we calculate:
9 × 9 × 9 × 9 = 94 = 6561However, the problem states that all 4 digits cannot be the same. This means we must subtract the 9 combinations where all four digits are identical (e.g., 1111, 2222, ..., 9999). Thus, we calculate:
Total valid combinations = 6561 - 9 = 6552The correct answer is a. 6552.
Consider a metal bar of initial length L and cross-sectional area A. The Young's modulus of the material of the bar is Y. Find the "spring constant" k of such a bar for low values of tensile strain. Express your answer in terms of Y, L, and A.
Answer:
k = Y*A/L
Step-by-step explanation:
We can apply the Law of Hooke in order to explain the problem.
If we define k = F / ΔL and the Y = S / δ
Where S is the uniaxial stress: S = F / A (i)
and δ is the strain: δ = ΔL / L (ii)
ΔL is the change in length
we can combine the equations i and ii as follows
Y = (F / A) / (ΔL / L) = (F * L) / (A * ΔL) (iii)
if k = F / ΔL the equation iii results
Y = k * (L / A) ⇒ k = Y*(A / L)
The spring constant of a metal bar for low values of tensile strain can be determined using Hooke's Law. It is given by the formula k = (A * Y) / L, where A is the cross-sectional area, Y is the Young's modulus of the material, and L is the initial length of the bar.
Explanation:The 'spring constant' of a metal bar for low values of tensile strain can be determined using Hooke's Law, which relates the applied force to the resulting elongation. In this case, the elongation is equivalent to the tensile strain.
Start by writing Hooke's Law: F = k * x, where F is the applied force, k is the spring constant, and x is the elongation.For a metal bar, the elongation is given by the formula x = (L * ΔL) / L, where ΔL is the change in length. Using Young's modulus (Y), the change in length can be expressed as ΔL = (F * L) / (A * Y).Substituting the value of ΔL in the elongation formula, we get x = (L * (F * L) / (A * Y)) / L.Simplifying the equation gives x = (F * L) / (A * Y).Substituting the formula for elongation into Hooke's Law, we get F = (k * L * F) / (A * Y).Dividing both sides by F gives 1 = (k * L) / (A * Y).Multiplying both sides by (A * Y) and rearranging the equation, we find that the spring constant (k) is given by k = (A * Y) / L.Therefore, the spring constant of a metal bar for low values of tensile strain is
k = (A * Y) / L
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Rope: 15 feet, cut 4 sections how long is each section of rope?
To calculate the length of each section when dividing a rope into 4 parts, the total length of the rope is divided by 4. For a 15-foot rope, each section is 3.75 feet long. If a 30-foot rope is used, each section would be 7.5 feet long.
Explanation:To find out the length of each section of rope when a 15-foot rope is cut into 4 equal sections, we simply divide the total length of the rope by the number of sections.
Therefore, each section would be: 15 feet ÷ 4 = 3.75 feet long.
Now, if twice the length of this nylon rope is used, that means we would have a 30-foot rope instead of a 15-foot rope. Again, if we cut this 30-foot rope into 4 equal sections, each section would then be: 30 feet ÷ 4 = 7.5 feet long.
A town uses positive numbers to track incresses in population and negitive numbers to track decresses in population. The population had decressed by 300 residents over the past 5 years. The same numbers of residents left each year. What was the change in towns population each year?
Answer:
60 people left each year so -60
Step-by-step explanation:
-300 is the total population change over the past 5 years
The population decreased.
Divide 300/5 to find the amount of people who left each year
300/5= 60
60 people left each year.
The change in the towns population is (-60)
Write the equation of the line. Give your answer in Standard Form
Answer:
5x -2y = -10
Step-by-step explanation:
Slope-intercept form of the equation for a line is ...
y = mx + b . . . . where m is the slope and b is the y-intercept.
Using the given numbers, the equation is ...
y = 5/2x + 5
Multiplying by 2 gives ...
2y = 5x + 10
Subtracting 2y+10 puts the equation into standard form, with positive leading coefficient and mutually prime coefficients.
5x - 2y = -10
Anna is 26 ft. high on a rock-climbing wall. She descends to the 15-foot mark, rests, and then climbs down until she reaches her friend, who is 8 feet from the ground. How many feet has Anna descended?
Answer:
She has descended a total of 18 feet from the top to her friend.
Step-by-step explanation:
Anna is 26 ft. high on a rock-climbing wall.
She descends to the 15-foot mark,means she come to a height of [tex]26-15=11[/tex] feet and rests.
Then climbs down until she reaches her friend, who is 8 feet from the ground.
So, she climbs down [tex]15-8=7[/tex] feet more.
Hence, in total Anna has descended [tex]11+7=18[/tex] feet
The answer : She has descended a total of 18 feet from the top to her friend.
The graph displays a proportional relationship. What is the unit rate shown by the graph?
Answer:
Step-by-step explanation: Im pretty sure they are asking you for the slope so it would be y = 0.5x
Answer:
0.5
Step-by-step explanation:
The unit rate is the number of units obtained in the "y" variable per unit obtained in the "x" variable. This behavior is observed in proportional relationships. For example: imagine that we know that the price for 5 pencils is $2.5. Since this is a proportional relationship, the unit rate will be the price of 1 single pencil, that is obtained by dividing 2.5 / 5 = 0.5.
In this case we also know that the graph passes through the point (1, 0.5), so the unit rate is given in that point. :)
Can someone step by step help me answer the ones that aren’t done
Number 6
Answer:
y = (c - ax)/b
Step-by-step explanation:
ax + by = c
by = c - ax
y = (c - ax)/b
I answered number 5 in your last question.
Step-by-step explanation:
5) C=5(F-32)
9
Multiply both sides by 9
9C=5(F-32)
Divide both sides by 5
9C=F-32
5
Add 32 to both sides
9C+32=F
5
Comparing Order of Magnitude A biologist estimated the number of cells in a culture sample as 1.3 × 102. One week later, he looked at the same culture sample and estimated that the number of cells had grown to 3.9 × 105. Determine how many times larger the culture sample was compared to a week earlier. (3.9 × 105) (1.3 × 102) Complete the quotient in scientific notation and find the solution in standard notation. × =
Answer:
3 * 10^3 in scientific notation.
3,000 in standard notation.
Step-by-step explanation:
We divide:
3.9 *10^5 / 1.3 * 10^2
= ( 3.9/1.3) * (10^5 / 10^2)
= 3 * 10(5-2)
= 3 * 10^3.
This equals 3 * 1,000 = 3000.
The number of times larger the culture sample was compared to a earlier week is, in scientific notation 3.0 × 10³ and in standard notation = 3000
What is division?Division is a mathematical operation, in which we distribute the number in equal parts, the number on the upper side is the total quantity and the number on the bottom side is equal parts of numbers which have to be distributed. We denote division by '÷' this symbol.
Given that,
biologist estimated the number of cells in a culture sample as 1.3 × 102
One week later, the number of cells had grown to 3.9 × 105
how many times larger the compared to a week earlier(P) = ?
⇒ P = 3.9 × 105/1.3 × 102
⇒ P = 3.0 × 10³
The quotient in scientific notation = 3.0 × 10³
The quotient in standard notation = 3000
Hence, The results are respectively 3.0 × 10³, 3000
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I don't know how to solve this:
In a pair of complementary angles, one angle measures 18* less than three times the other angle. Find the measure of each angle.
Answer:
18, 72
Step-by-step explanation:
Two angles are complementary if they sum up to 90°. Call them [tex] x, (90-x) [/tex]. From the second part,
[tex]
3 x = 90-x+18 \\
4x = 72 \\
x= 18 [/tex]
The second angle is [tex] 90-18 = 72 [/tex]
Find the midpoint of a line segment
A triangle with coordinates A(1, 1), B(4, 2), C(3, 5) is translated three units down and five units to the left. What are the coordinates of the new triangle
Answer:
[tex]A' = (-4,-2)\\B'=(-1,-1)\\C'=(-2, 2)[/tex]
Step-by-step explanation:
Given:
[tex]A = (1,1)\\B=(4,2)\\C=(3,5)[/tex]
A translation upward or downward affects the [tex]y[/tex] value of a coordinate while a translation left or right affects the [tex]x[/tex] value of a coordinate.
We are translating the whole triangle down three units, so we subtract all the[tex]y[/tex] values by 3.
We are also translating the whole triangle to left left five units, so we will subtract all the [tex]x[/tex] values by 5.
[tex]A = (1-5,1-3)\\B=(4-5,2-3)\\C=(3-5,5-3)[/tex]
New Coordinates:
[tex]A' = (-4,-2)\\B'=(-1,-1)\\C'=(-2, 2)[/tex]
Answer:
I've actually know the answer, its easy it's simple it's completely easy like it's so easy like its extremely easy. Okay the answer to this written question will be 78
Step-by-step xplanation:
because
Madison has a goal of saving more than $1,000 she has $300 saved now and each month she adds $40 to that amount the inequality 40m + 300 > 1,000 can be solved to find the number of months, m, it will take Madison to reach her goal which statement about the number of months it will take Madison to reach her goal is true
Answer:
Step-by-step explanation:
[tex]40m + 300 > 1000[/tex]
[tex]40m > 700[/tex]
[tex]m > 17.5[/tex]
Rounding up to the nearest whole number, it will take Madison at least 18 months to reach her goal.
She will need 18 months to reach her goal.
What is an inequality?
The word inequality means a mathematical expression in which the sides are not equal to each other. Basically, an inequality compares any two values and shows that one value is less than, greater than, or equal to the value on the other side of the equation.
An inequality may be expressed by a mathematical sentence that uses the following symbols:
< is less than
> is greater than
≤ is less than or equal to
≥ is greater than or equal to
≠ is not equal to
Given, inequality is
40m +300 > 1000
40m > 1000-300
40m > 700
m > 700/40
m > 17.5
Hence, she will take more than 17 months and on 18th month she will achieve her goal.
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A laboratory blood test is 99% effective in detecting a certain disease when it is in fact, present. However, the test also yields a false positive result for 0.5% of the healthy person tested (i.e. if a healthy person is tested, then, with probability 0.005, the test will imply he has the disease). If 0.1 percent of the population actually has the disease, what is the probability that a person has the disease given that his test result is positive ?
A. 0.1654
B. 0.1982
C. 0.1827
D. 0.1346
Answer:
A. 0.1654
Step-by-step explanation:
Let's call :
D: The event in which a person has a disease
ND: The event in which a person doesn't have a disease
TD: The event in which the test result is positive
Therefore, the probability that a person has the disease given that his test result is positive is calculated as:
P(D/TD) =P(D∩TD)/P(TD)
Where P(D∩TD) is the probability that a person has a disease and the test result is positive and P(TD) is the probability that the test result is positive.
So, The probability P(D∩TD) is calculated as a multiplication of:
P(D∩TD)=0.1% * 99% = 0.099%
Because 0.1% is the percentage of population that actually has the disease and 99% is the probability that the test detect the disease when it is present.
Then, for calculate the probability P(TD) we need to sum the probability of the following cases:
The probability that a person has a disease and the test result is positive, that is P(D∩TD) and it is equal to 0.099%The probability that a person doesn't have a disease and the test result is positive, that is P(ND∩TD) and it is calculated as:P(ND∩TD)= (100%-0.1%)*0.5%=0.4995%
Because (100%-0.1%) is the percentage of population that doesn't have the disease and 0.5% is the probability that the test imply that a person has the disease when it is not present.
So, P(TD) is calculated as:
P(TD) = P(D∩TD) + P(ND∩TD)
P(TD) = 0.099% + 0.4995%
P(TD) = 0.5985%
Finally, P(D/TD) is:
[tex]P(D/TD) =\frac{0.099%}{0.5985%}=0.1654[/tex]
A restaurant chef ordered product to make a stew. He ordered 4 pounds of beef at 9.25 per pound, 6 pounds of potatoes at $6.75 a pound, and 5 pounds of carrots at $9.80 per pound. If the stew serves 30 people and he charges $12.50 per serving, how much profit will he make?
ok so. A restaurant chef ordered product to make a stew. He ordered 4 pounds of beef at 9.25 per pound, 6 pounds of potatoes at $6.75 a pound, and 5 pounds of carrots at $9.80 per pound. If the stew serves 30 people and he charges $12.50 per serving, how much profit will he make?
Answer:
Step-by-step explanation:
248.50 your welcome
what is the mean?
$5.25, $3.50, $4.50, $4.00 , $3.50
Answer:
The answer to your question is: $4.15
Step-by-step explanation:
To find the mean we just have to sum all the values and divide them by the number of data.
mean = (5.25 + 3.50 + 4.50 + 4.00 + 3.50) / 5
mean = 20.75/5
mean = $ 4.15
Deshawn fuels 2 yachts and 6 barges. Each boat gets 126 gallons of fuel. To find out how much fuel he needs for all boats, deshawn first finds the number of boats, then he uses an algorithm to multiply. Which are the three partial products deshawn could add to find the final product?
A certain stock exchange designates each stock with a one-, two-, or three-letter code, where each letter is selected from the 26 letters of the alphabet. If the letters may be repeated and if the same letters used in a different order constitute a different code, how many different stocks is it possible to uniquely designate with these codes?
Answer:
There are 16276 different stocks which are possible to uniquely designate with these codes
Step-by-step explanation:
The information we have is that
1. There are 26 different letters.
2. The stock can be designated with a one, two or three letter code and the letters may be repeated (We always have 26 options for the first, second and third letter)
3. Order matters (different order constitute a different code), which means we're talking about permutations.
The total codes we can make would be:
[tex]P_{26|1} + P_{26|2}+ P_{26|3} \\26+650+15600= 16276[/tex]
Find two consecutive odd integers such that 77 more than the lesser is six times the greater.
The lesser consecutive odd integer is _ and the greater consecutive odd integer is _
To find the consecutive odd integers, we need to let x represent the lesser odd integer and solve the equation x + 77 = 6(x+2). The solution is x = 13, so the lesser odd integer is 13 and the greater odd integer is 15.
Explanation:Let's assume that the lesser consecutive odd integer is x and the greater consecutive odd integer is x+2.
According to the given information, 77 added to the lesser consecutive odd integer is six times the greater consecutive odd integer:
x + 77 = 6(x+2)
Solve the equation:
Distribute the 6 on the right side: x + 77 = 6x + 12Subtract x from both sides: 77 = 5x + 12Subtract 12 from both sides: 65 = 5xDivide both sides by 5: 13 = xThe lesser consecutive odd integer is 13 and the greater consecutive odd integer is 15.
Alex purchased a calling card for $32. He has used t minutes of access time at 15 cents per minute. To write an algebraic expression to represent how many dollars Alex has left on his card, fill in the boxes.
Answer:
The answer to your question is: T = 32 - 0.15t
Step-by-step explanation:
calling card cost = $32
t = minutes used
cost = 15 c / min
Equation = ?
T = money left on his card
T = 32 - 0.15t
Dara ran on a treadmill that had a readout indicating the time remaining in her exercise session. When the readout indicated 24 min 18 sec, she had completed 10% of her exercise session. The readout indicated which of the following when she had completed 40% of her exercise session?A. 10 min 48 secB. 14 min 52 secC. 14 min 58 secD. 16 min 6 secE. 16 min 12 sec
Answer:
E. 16 min 12 sec
Step-by-step explanation:
See it in the pic.
How many times greater is 8.4 x 10-^5 than 2.1 x 10^-6?
a.
0.04
b.
0.4
c. 4
d. 40
Answer:
40
Step-by-step explanation:
[tex]\dfrac{8.4\cdot 10^{-5}}{2.1\cdot 10^{-6}}=\dfrac{8.4}{2.1}\cdot 10^{-5-(-6)}=4\cdot 10^1=40[/tex]
8.4×10^-5 is 40 times the value of 2.1×10^-6
which of the following functions is graphed below?
Answer:
A . You may have noticed that the difference between all the answers is that at the end of the problems there are the greater then and less then symbols. You may have noticed as well that in the graph, the points shown have an open point, or a filled in point. The filled in points are only applied if the symbol is ≤ or ≥. The open points are used when the symbol is the less then or greater then symbol without the line under it. Hope this helps!
how do you find a regression equation
Answer:
A regression coefficient is the same thing as the slope of the line of the regression equation.
Step-by-step explanation:
The equation for the regression coefficient that you'll find on the AP Statistics test is: B1 = b1 = Σ [ (xi – x)(yi – y) ] / Σ [ (xi – x)2].
To find a regression equation, you plot the data on a scatter plot, draw an approximate line of best fit, calculate its slope and y-intercept, and then write the equation. Alternatively, you can use statistical software or a calculator's regression function to find the most accurate equation.
Explanation:To find a regression equation, one can follow these steps:
Collect a set of data with two variables; for instance, pinky finger length as the independent variable, x, and height as the dependent variable, y.Plot the data points on a scatter plot to visually assess the relationship.Draw a line that seems to best fit the data points. This is often done by eye, aiming to minimize the distance of all points from the line, leading to the least-squares regression line.Identify two points on the line to calculate the slope (rise over run).Determine the y-intercept by extending the line to where it crosses the y-axis.Combine the slope and y-intercept into the equation of the line, which typically has the form y=mx+b, where m is the slope and b is the y-intercept.Use statistics software or a calculator's regression function to find a more accurate regression equation.An example regression equation from sample data might look like this: ŷ = 173.51 + 4.83x, where x is the independent variable and ŷ is the predicted value of the dependent variable, y.
It is crucial to remember that regression equations predict outcomes for the variables within the given data set, but they should not be extrapolated beyond the scope of the available data. Variability in real data means that different samples might yield different regression equations, which is why it is important to consider the goodness of fit, such as the correlation coefficient or the coefficient of determination (r2).
For what values of y : is the value of the binomial 5y−1 greater than the value of the fraction 3y−1/4
PLEASE HELP ASAP
Answer:
y>0.375
Step-by-step explanation:
Answer:
For the values of y greater than [tex]\frac{3}{17}[/tex]
Step-by-step explanation:
Suppose 5y-1 greater than the value of the fraction [tex]\frac{3y-1}{4}[/tex]
That is,
[tex]5y - 1 > \frac{3y-1}{4}[/tex]
[tex]4(5y - 1) > 3y - 1[/tex]
[tex]20y - 4 > 3y - 1[/tex]
[tex]20y - 3y > -1 + 4[/tex]
[tex]17y > 3[/tex]
[tex]\implies y>\frac{3}{17}[/tex] ( a > b ⇒ [tex]\frac{a}{d} > \frac{b}{d}[/tex] where, d > 0 )
Hence, for the values of y greater than [tex]\frac{3}{17}[/tex] the value of the binomial 5y-1 greater than the value of the fraction [tex]\frac{3y-1}{4}[/tex].
A professor computing the sample average exam score of 20 students and using it to estimate the average exam score for the 1,500 students taking the exam is an example of inferential statistics.
True / False.
Answer:
True, It is a example of inferential statistics.
Step-by-step explanation:
There are two types of statistics which are:
Inferential StatisticsDescriptive StatisticsIn Inferential Statistics we describe the valuable characteristic of the population using a sample of data.
Here, Since the professor is estimating the average score of 1,500 students using an average score of 20 students. So it is Inferential Statistics.
Find the coordinates of point G
Answer:
G = (2, 9)
Step-by-step explanation:
The midpoint is the average of the endpoints, so we have ...
M = (G+H)/2
Solving for G gives ...
G = 2M -H = 2(5, 9) -(8, 9) = (10-8, 18-9)
G = (2, 9)
Which could be the entire interval over which the function,
f(x), is positive?
(00, 1)
(-2, 1)
• 60,0)
(1.4)
Answer:
(-2, 1)
Step-by-step explanation:
Hi Juliadayx! How are you?
Well, maybe you already heard about the domain and the range of a function.
The domain is the set of values that the independent variable can take (usually referred to as the letter "x"), while the range is the set of values that the dependent variable takes, which is called f(x) or function of x.
In this case, the exercise asks you to evaluate for which values of “x” (right column of the table), the function “f(x)” takes positive values (left column of the table), the positive values also include zero. And in this case you can see that the function f(x) is only positive for the values of "x": -2, -1, 0 and 1. Therefore, the answer is the entire interval (-2, 1).
I hope I've been helpful!
Regards!
At arraignment, Jackson accepts a plea deal that will shorten his sentence in return for naming one of his marijuana dealer. About what percentage of cases every year end in plea bargains instead of a criminal trial?
a) 60 percent
b) 80 percent
c) 70 percent
d) 90 percent
Answer:
d) 90 percent
Step-by-step explanation:
A plea bargain is an arrangement made between the prosecutor and the defendant.
Here the defendant pleads guilty to a lesser charge in exchange for a more lenient sentence like here Jackson says he will name one of the dealer, in return for a lesser sentence.
This arrangement takes place in almost 90 percent cases.
How do you do this equation Laura's paper airplane flew 8 1/6 feet. That was 2 3/4 feet farther than Max's plane flew. Write and solve an equation to show how far Max's paper airplane flew.
Answer:
laura's distance = max's distance + 2 3/4 feetmax's distance = 5 feet 5 inchesStep-by-step explanation:
If you consider the English-language meaning of the description of the distances, you can see there might be several ways you could write an equation that says the same thing. Some of them are ...
laura's distance = max's distance + 2 3/4 feet
laura's distance - max's distance = 2 3/4 feet
laura's distance - 2 3/4 feet = max's distance
The first of these equations is shown as an answer above. The last of these equations gives max's distance directly, so is the most useful for finding that value.
laura's distance - 2 3/4 feet = max's distance
8 1/6 feet - 2 3/4 feet = max's distance
5 5/12 feet = max's distance . . . . . . do the arithmetic
_____
Describing addition and subtraction of mixed numbers is beyond the scope of this answer. Many calculators can work with fractions directly, in case you cannot do it by hand.
Max's paper airplane flew 65/12 feet.
To solve this problem,
we need to set up an equation to represent the relationship between Laura's paper airplane and Max's paper airplane. Let's use the variable 'x' to represent the distance Max's paper airplane flew.
We know that Laura's airplane flew 8 1/6 feet and that was 2 3/4 feet farther than Max's airplane.
So the equation is: x + 2 3/4 = 8 1/6. To solve the equation, we need to subtract 2 3/4 from both sides: x = 8 1/6 - 2 3/4.
Now, let's convert the mixed numbers to improper fractions. 8 1/6 = 49/6 and 2 3/4 = 11/4.
So the equation becomes: x = 49/6 - 11/4.
To subtract fractions, we need a common denominator, which in this case is 12. Multiplying the fractions,
we get x = 98/12 - 33/12. Subtracting the numerators, we have x = 65/12.
Therefore, Max's paper airplane flew 65/12 feet.
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What is the exact distance from the mother fox to her kit
The exact distance from the mother fox to her kid fox is option (B) √221 is the correct answer.
What is distance between two points?It is the length of the straight line connecting these points in the coordinate plane. This distance can never be negative, therefore we take the absolute value while finding the distance between two given points. The distance formula is an application of the Pythagorean theorem.
For the given situation,
The mother fox is at (x₁, y₁) = (-7,7)
The kid fox is at (x₂, y₂) = (7,2)
The formula of distance between two points is
[tex]d=\sqrt{(x_{2} -x_{1} )^{2} +{(y_{2}-y_{1})^{2}}[/tex]
⇒ [tex]d=\sqrt{(7-(-7) )^{2} +{(2-7)^{2}}[/tex]
⇒ [tex]d=\sqrt{(7+7)^{2} +{(2-7)^{2}}[/tex]
⇒ [tex]d=\sqrt{(14)^{2} +{(-5)^{2}}[/tex]
⇒ [tex]d=\sqrt{196+25}[/tex]
⇒ [tex]d=\sqrt{221}[/tex]
Hence we can conclude that the exact distance from the mother fox to her kid fox is option (B) √221 is the correct answer.
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The question's subject is ambiguous but appears to be about wildlife biology, focusing on the relationship between mother foxes and their kits or chimpanzee social behavior. The exact distance between a mother fox and her offspring is not provided and would vary in the wild, but close proximity is typical for maternal care.
Explanation:It seems there might be some confusion in the question as it refers to a 'mother fox' but the given information relates to chimpanzees and red foxes in different contexts. If the question pertains to the actual distance a mother fox might maintain from her kit (assuming 'kit' is used to mean 'offspring'), it is not specified in the provided information. The exact distance would depend on numerous factors including the age of the kit and the environmental circumstances. However, in the natural setting, foxes, which are eutherian mammals, may stay close to their offspring to provide nourishment and protection. In the case of chimpanzees, mothers and offspring maintain close physical proximity especially in the juvenile years, as offspring are dependent on the mother for care and learning social skills.