Gradebook Home > MAT120 43550 Spring2022 > Assessment Homework 6 Score: 12.9/31 9/15 answered. Question 12 < If a seed is planted, it has a 70% chance of growing into a healthy plant. If 11 seeds are
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The probability that exactly 4 out of 7 seeds don't grow is 0.3241 or 32.41%.
To calculate the probability that exactly 4 out of 7 seeds don't grow, we can use the binomial probability formula.
The binomial probability formula is given by:
P(X = k) = C(n, k) \(p^k (1 - p)^{(n - k),\)
where P(X = k) is the probability of exactly k successes (in this case, seeds not growing), n is the total number of trials.
In this case, n = 7 (seeds planted),
k = 4 (seeds not growing),
and p = 0.3 (probability of a seed not growing, which is 1 - 0.7).
Plugging in the values, we have:
P(X = 4) = C(7, 4)\((0.3)^4 (0.7)^{(7 - 4).\)
C(7, 4) = = 7! / (4!3!) = (7 * 6 * 5) / (3 * 2 * 1) = 35.
P(X = 4) = 7! / (4!(7-4)!) \((0.3)^4 (0.7)^3\)
P(X = 4) = 0.3241.
Therefore, the probability that exactly 4 out of 7 seeds don't grow is 0.3241 or 32.41%.
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Related Questions
A person invests 8000 dollars in a bank. The bank pays 6.25% interest compounded daily. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 10800 dollars
Answers
Answer:
4.8 years
Step-by-step explanation:
10 800 = 8000 e^(i t) i = decimal interest per year t = years
10800/8000 = e^(.0625 t) ln both sides
.300 = .0625 t
t = 4.8 years
A man intends to withdraw $ 24,000.00 from his savings at the end of 5 years. The man deposits $ 1,500.00 in savings annually and today has a balance of $ 8,000.00. What should be the savings interest rate for Nobuki to achieve his goals?
Answers
Answer:
3%
Step-by-step explanation:
Given data
FInal amount A= $24,000
Time= 5 years
Principal= $1,500
Say we the savings is on simple interest
A= P(1+rt)
substitute
24000=1500(1+r*5)
24000= 1500+ 7500r
24000-1500= 7500r
22500= 7500r
r= 22500/7500
r= 3%
Hence, on a simple interest account, the rate is 3%
12.5% written as a fraction in simplest form? With work
Answers
Work:
Write 12.5% as the numerator and place 1 in the denominator right below the decimal point followed by the number of zeros required accordingly.
In this case, 12.5 has one number after the decimal, so, we place 10 in the denominator and remove the decimal point. This will make it 125/10, now we can simplify it by dividing the top and bottom by 5.
125/10 = 25/2
Shaquira is baking cookies to put in packages for a fundraiser. Shaquira has made 868686 chocolate chip cookies and 424242 sugar cookies.
Shaquira wants to create identical packages of cookies to sell, and she must use all of the cookies.
What is the greatest number of identical packages that Shaquira can make?
Camryn practiced both the trumpet and the flute today.
How many days until Camryn practices the trumpet and flute again in the same day
Answers
The greatest number of identical packages that Shaquira can make is 2.
Given data:
Shaquira has made 86 chocolate chip cookies and 42 sugar cookies.
Shaquira wants to create identical packages of cookies to sell, and she must use all of the cookies.
To find:
The greatest number of identical packages that Shaquira can make
In order to find the greatest number of packages, we find the HCF of 86 and 42.
Write down this part from the attached image.
Here, 86 = 1 × 2 × 43, 42 = 1 × 2 × 21
Thus HCF = 1 × 2 = 2
So, Shaquira can make 2 identical packages the most.
Each package will have
(86 ÷ 2) = 43 chocolate chips and
(42 ÷ 2) = 21 sugar cookies.
For questions like these you would need to find out the Least Common Multiple, or L.C.M
If Camryn plays the trumpet and the flute today, and they both are in intervals of 11 and 3 days, you would need to find the LCM for 11 and 3.
LCM:
11 = 11, 1
3 = 3, 1
As they both have no common factors, and are prime numbers, multiply 11 x 3 = 33.
So, the least amount of days required for the trumpet and the flute to be played together is 33 days. And the interval between practising them both on the same day is 33 days.
Hence, the number of days until Camryn practices the trumpet and the flute on the same day is 33 days.
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Tom can drive his truck 360 miles on 15 gallons of gas. How many miles can he drive per gallon of gas (miles per gallon, which is unit rate)?
Answers
Tom can drive 24 miles per gallon of gas
How to find the miles can Tom drive per gallon of gas?
The unit rate is the ratio of a certain number of units of one quantity to units of another quantity. Mathematically, the unit rate is one quantity divided by the other quantity
Given that: Tom can drive his truck 360 miles on 15 gallons of gas
Unit rate = 360 miles / 15 gallons
Unit rate = 24 miles per gallon
Therefore, the unit rate is 24 miles per gallon. Tom can drive 24 miles per gallon of gas
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Bayesian fidget spinners Nat's company manufactures fidget spinners. The company uses two factories, which we'll call factory 0 and factory 1. Each fidget spinner from factory k is defective with probability Ik (k E {0,1}). Nat knows that factory O produces fewer defective fidget spinners than factory 1 (in other words, qo < qı). She receives n boxes full of fidget spinners, but the boxes aren't labeled (in other words, she doesn't know which box is from which factory). For each box, she starts randomly pulling out fidget spinners until she finds a defective one, and records how many fidget spinners she pulled out (including the defective one). She calls this number Xi for box i, for i = 1,...,n. She wants to estimate the following pieces of information: • Which boxes came from factory 0, and which came from factory 1? She defines a binary random variable for each box zi with the factory label (i.e., zi 0 if box į is from factory 0, and zi = 1 if box i is from factory 1). • How reliable is each factory? In other words, what are qo and qı? Inspired by what she learned about Gaussian mixture models, she sets up the following probability model: zi Bernoulli(7) ak Beta(aksßk) Xi|zi, 90, 91 ~ Geometric(qz:) Nat decides to implement the model above setting the following hyperparameters: T = = 0.3, Po~ Beta(1,5), 01~ - Beta(5,1) (b) Which one of the following explains why Nat chose this value of a: (i) Factory 0 produces more boxes than factory 1 (ii) Factory 0 produces fewer boxes than factory 1 (iii) Factory 0 is better (i.e., it is less likely to produce defective fidget spinners) (iv) Factory 0 is worse (i.e., it is more likely to produce defective fidget spinners) (c) Which one of the following explains why Nat chose these values of a and B? (i) Factory 0 produces more boxes than factory 1 (ii) Factory 0 produces fewer boxes than factory 1 (iii) Factory 0 is better (i.e., it is less likely to produce defective fidget spinners) (iv) Factory 0 is worse (i.e., it is more likely to produce defective fidget spinners)
Answers
(b) (iii) Factory 0 is better than all other factories (i.e., it is less likely to produce defective fidget spinners).
(c) (iii)Factory 0 is better than all other factories (i.e., it is less likely to produce defective fidget spinners).
(b) Nat chose the value of a to be 0.3 because she knows that factory 0 produces fewer defective fidget spinners than factory 1. This means that factory 0 is better, or less likely to produce defective fidget spinners, which is why the value of a is closer to 0 than 1.
(c) Nat chose the values of a and B to be 1 and 5 for factory 0, and 5 and 1 for factory 1, because she knows that factory 0 is better, or less likely to produce defective fidget spinners, than factory 1.
The values of a and B are used to determine the probability of a fidget spinner being defective from each factory, with a lower value of a and a higher value of B indicating a lower probability of a defective fidget spinner.
Therefore, the values of a and B for factory 0 indicate a lower probability of a defective fidget spinner than the values of a and B for factory 1.
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A CIRCLE HAS A CIRCUMFENCE 43.96 YD FIND THE RADUIS OF THE CIRCLE
Answers
Answer:
≈ 7
Step-by-step explanation:
What is the product of (3a + 2)(4a2 – 2a + 9)?
Answers
Answer: (3a + 2) • (4a2 - 2a + 9)
(no solution)
Step-by-step explanation:
Step by Step Solution
More Icon
STEP
1
:
Equation at the end of step 1
(3a + 2) • ((22a2 - 2a) + 9)
STEP
2
:
Trying to factor by splitting the middle term
2.1 Factoring 4a2-2a+9
The first term is, 4a2 its coefficient is 4 .
The middle term is, -2a its coefficient is -2 .
The last term, "the constant", is +9
Step-1 : Multiply the coefficient of the first term by the constant 4 • 9 = 36
Step-2 : Find two factors of 36 whose sum equals the coefficient of the middle term, which is -2 .
-36 + -1 = -37
-18 + -2 = -20
-12 + -3 = -15
-9 + -4 = -13
-6 + -6 = -12
-4 + -9 = -13
For tidiness, printing of 12 lines which failed to find two such factors, was suppressed
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
(3a + 2) • (4a2 - 2a + 9)
Grade 12 vectros 6.4,5,6,7 Q10 Let →v=⟨3,2⟩.Sketch →v, Sketch −2→v, and Sketch 1/2v→
Answers
To find:
The sketch of v, 2v and 1/2 v.
Solution:
Given the v = <3,2>.
(a)
The sketch of v is shown below:
(b)
The value of 2v can be obtained as follows:
\(\begin{gathered} \vec{v}=<3,2> \\ \vec{2v}=2<3,2> \\ \vec{2v}=<6,4> \end{gathered}\)The sketch of 2v is shown below:
(c)
The value of 1/2 v can be obtained as follows:
\(\begin{gathered} \vec{v}=<3,2> \\ \frac{1}{2}\vec{v}=\frac{1}{2}<3,2> \\ \frac{1}{2}\vec{v}=<1.5,1> \end{gathered}\)The sketch of 1/2 v is shown below:
17. a group of seven people have tickets to see a play. they are going to sit in a row of seven seats, with an aisle at each end of the row. one of the people needs to sit next to an aisle, because she must leave early. how many different ways can the people sit in the row?
Answers
In total, there are 6 * 6! = 720 different ways for the group of 7 people to sit in the row.
Seat Arrangement CalculationThe total number of ways to arrange a group of n people in a row is n!, which is the product of all the integers from 1 to n. However, in this case, we have a constraint that one of the people must sit next to an aisle. To find the number of ways to arrange the group of people given this constraint, we first need to determine the number of ways for the person who needs to sit next to the aisle to be placed.
Since there are 7 seats in the row, and the person must sit next to an aisle, there are 6 different spots where they can sit (either in the first seat, second seat, etc. up to the sixth seat). Once that person is placed, we can use the formula n! to find the number of ways to arrange the remaining people. In this case, there are 6 people remaining, so there are 6! ways to arrange them. To find the total number of ways to arrange the group of 7 people given the constraint, we multiply the number of ways to place the person next to the aisle (6) by the number of ways to arrange the remaining people (6!). So, 6*6! = 720.
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what is the value of each region that makes the inequalities true 5- 2x < -3-3(-5+ x) > 3
Answers
Let us solve for x in each of the inequalities.
The first inequality.
\(5-2x<-3_{}\)subtracting 5 from both sides gives
\(5-2x-5<-3_{}-5\)\(-2x<-8\)finally, multiplying both sides by -2 reverse the direction of the inequality to give
\(-\frac{2x}{-2}>-\frac{8}{-2}\)\(\boxed{x>4}\)which is our answer!
The second inequality
\(-3\mleft(-5+x\mright)>3\)
Dividing both sides by -3 gives
\(\frac{3(-5+x)}{-3}<\frac{3}{-3}\)\(\rightarrow(-5+x)<-1\)finally, adding -5 to both sides gives
\(-5+x+5<-1+5\)\(\begin{gathered} \rightarrow x<-1+5 \\ \boxed{x<4} \end{gathered}\)which is our answer!
John is going to build a square garden. The sides of the garden are 10 feet. He will be installing a garden fence along the diagonal. Which is closest to the amount of fencing he will need to purchase?
Answers
James read that bears can weight up to 125 kg. He wants to convert this to pounds so he can understand how heavy that really is. Convert the bears weight to pounds. (1kg = 2.205 lbs)
Answers
Answer:
275.63 pounds
Step-by-step explanation:
To convert it to pounds, multiply the weight in kg by 2.205
125(2.205)
= 275.63 pounds
Answer:
125 kg = 275.578 lbs
Step-by-step explanation:
1 Kilogram (kg) is equal to 2.2046226218 pounds (lbs). To convert kg to pounds, multiply the kg value by 2.2046226218. For example, to convert 4 kilograms to pounds, multiply 4 by 2.2046226218, that makes 4 kg is 8.81849049 lbs.
Hope this helps! :D
zoe watched 6 episodes of her favorite online video series in 1.5 hours . She spent the same time watching each episode . What is the unit rate of hours to episodes?
Answers
Answer:
15 min
Step-by-step explanation:
6 episodes in 1.5 hrs.
1 episode in 1.5/6 hr.
i.e. 1.5*60/6 min
=15 min
You are at an amusement park and you walk up to a machine with a grappling claw that picks up stuffed animals. The probability of the grappling claw catching a stuffed animal is 1/15 on each attempt. What probability distribution does X=""number of attempts at the claw pick up a stuffed animal"" have? What is the probability that the gripper picks up a stuffed toy first on the 4th try if we assume that are the trials independent of each other?
Answers
The probability distribution for X, the number of attempts at the claw picking up a stuffed animal, is the geometric distribution. The probability of the gripper picking up a stuffed toy on the 4th try, assuming independent trials, is approximately 0.0814 or 8.14%.
The probability distribution that X (the number of attempts at the claw picking up a stuffed animal) follows in this scenario is the geometric distribution.
In a geometric distribution, the probability of success remains constant from trial to trial, and we are interested in the number of trials needed until the first success occurs.
In this case, the probability of the grappling claw catching a stuffed animal on each attempt is 1/15. Therefore, the probability of a successful catch is 1/15, and the probability of failure (not picking up a stuffed toy) is 14/15.
To find the probability that the gripper picks up a stuffed toy on the 4th try, we can use the formula for the geometric distribution:
P(X = k) = (1-p)^(k-1) * p
where P(X = k) is the probability of X taking the value of k, p is the probability of success (1/15), and k is the number of attempts.
In this case, we want to find P(X = 4), which represents the probability of the gripper picking up a stuffed toy on the 4th try. Plugging the values into the formula:
P(X = 4) = (1 - 1/15)^(4-1) * (1/15)
P(X = 4) = (14/15)^3 * (1/15)
P(X = 4) ≈ 0.0814
Therefore, the probability that the gripper picks up a stuffed toy on the 4th try, assuming the trials are independent, is approximately 0.0814 or 8.14%.
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From a hot-air balloon, Justin measures a 34° angle of depression to a landmark
that's 1424 feet away, measuring horizontally. What's the balloon's vertical distance
above the ground? Round your answer to the nearest hundredth of a foot if necessary.
Answers
Answer:
960.50 feet
Step-by-step explanation:
You want to know the height of a balloon if it is 1424 feet horizontally from a landmark at an angle of depression of 34°.
TangentThe geometry of the problem can be modeled as a right triangle with a base angle of 34°, the adjacent leg 1424 feet, and the opposite leg being the height of the balloon. The tangent relation tells us ...
Tan = Opposite/Adjacent
Opposite = Adjacent·Tan
height = (1424 feet)·tan(34°) ≈ 960.50 feet
The balloon's vertical distance from the ground is 960.50 feet.
__
Additional comment
If the angle is measured to the nearest degree, then the height of the balloon is somewhere between 943 feet and 979 feet. The only purpose served by reporting the distance to the nearest 0.01 foot is to see if you can use your calculator correctly.
To make that precision for the height meaningful, the angle would need to be measured with an error less than 0.00014°, about 1/2 arc-second. This is better resolution than the best surveying instruments offer, by a factor of about 30.
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if p(x) is the taylor series for f centered at 0, then p( x - 1 ) is the taylor series for f centered at 1. True or False
Answers
True. If p(x) is the Taylor series for f centered at 0, then p(x-1) is not the Taylor series for f centered at 1. Instead, to obtain the Taylor series for f centered at 1, you would need to compute a new series with the center shifted to 1.
True. Shifting the center of a Taylor series by adding or subtracting a constant simply results in a new Taylor series centered at the shifted point. In this case, we are shifting the center from 0 to 1 by replacing x with (x-1) in the Taylor series for f, resulting in p(x-1).
In mathematics, the Taylor series or Taylor expansion of a function is an infinite number of points defined by the function at one point. For most ordinary functions, the partial function and its Taylor series are equal at point. The first n + 1 terms of the Taylor series form an n-order polynomial called the nth-order Taylor polynomial function. Taylor polynomials are generally approximate for functions that get better as n increases. Taylor's theorem provides a quantitative estimate of the resulting error using this approach. If the series of Taylor functions converge, the sum is the limit of an infinite number of Taylor polynomials.
A function can diverge from the equation of the Taylor series even if the Taylor series converges. A function is the definition of a point x if it is equal to the sum of the Taylor series over an open interval (or opening in the complex plane) containing x. This means that transactions are resolved anywhere on the clock (or disk).
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a gardener makes a new circular flower bed. the bed is ten feet in diameter. calculate the circumference and the area of the circular flower bed
Answers
Answer:
10π
Step-by-step explanation:
First, remember the formula for the circumference of a circle is C= 2πr. Then remember that the diameter is twice the radius.
So here, when we have a diameter of 10ft, and we see the formula for circumference is C= 2πr, and because a Diameter is equal to 2 radii, I can also say C= Dπ. So in your case C= 10ft×π = 10ftπ
What is the mission factor of
18y^3=(G)(2y^2)
Answers
g = 9y
this is true because khan academy
The missing factor of the given equation is 9y.
What is factor of the expression?The factors of the expressions are the simplified expression which when multiplied results in the original expression.
Divide 18y³ by 2y² to determine the missing factor.
G=18y³/2y²
Express the numerator and denominator in the factored form and simplify.
G=(2·3·3·y·y·y)/(2·y·y)
G=3·3·y
G=9y
So, the missing factor of the given equation is 9y.
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What is a correlation coefficient and what does it tell you about the scatter plot/ line of best fit?
Answers
A correlation coefficient is a statistical measure that shows the degree of association between two variables. It ranges from -1 to 1, where -1 indicates a perfect negative correlation (as one variable increases, the other decreases), 0 indicates no correlation, and 1 indicates a perfect positive correlation (as one variable increases, the other also increases).
When plotted on a scatter plot, the correlation coefficient can help you determine the strength and direction of the relationship between the variables. If the coefficient is close to -1 or 1, the points on the scatter plot will be more tightly clustered around the line of best fit, indicating a stronger relationship between the variables. On the other hand, if the coefficient is closer to 0, the points will be more spread out, indicating a weaker relationship.
The line of best fit, also known as the regression line, is the line that best approximates the relationship between the variables based on the data points on the scatter plot. It is calculated using a mathematical formula that takes into account the values of both variables. The correlation coefficient can be used to help determine the slope and intercept of the line of best fit, which can be useful for making predictions about future data points. Overall, the correlation coefficient provides valuable information about the strength and direction of the relationship between two variables, which can help inform further analysis and decision making.
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GEOMETRY: The formula for the perimeter of a rectangle is P=21 + 2w, where l is the length and w is the width. A rectangle has a perimeter of 24 inches. Find its
dimensions if its length is 3 inches greater than its width.
a. 6 in. by 9 in.
b. 4 in. by 7 in.
c. 5 in. by 7 in.
d. 4.5in. by 7.5 in.
Answers
Answer:
d) 4.5in * 7.5 in
Step-by-step explanation:
24 = 2L + 2W
L = W+ 3
then:
24 = 2(W+3) + 2W
24 = (2*W + 2*3) + 2W
24 = 2W + 6 + 2W
24 = 4W + 6
24 - 6 = 4W
18 = 4W
W = 18/4
W = 4.5
L = W+3
L = 4.5 + 3
L = 7.5
Check:
24 = 2(L+W)
25 = 2(7.5 + 4.5)
24 = 2*12
pie charts are most effective with ten or fewer slices.
Answers
Answer:
True
Step-by-step explanation:
When displaying any sort of data, it is important to make the table or chart as easy to understand and read as possible without compromising the data. In this case, it is simpler to understand the pie chart if we use as few slices as possible that still makes sense for displaying the data set.
4x0.75
Expian pls
4x0.75
4/0.65
Answers
Answer:
3
Step-by-step explanation:
0.75 out of 1 for 4 is 3
for 4
0.25 is 1
0.5 is 2
0.75 is 3
1 is 4
4/0.65 = 2.15 (not 100% on this one)
Find the area of the composite figures. use 3.14 for (pie) when needed. I really, really, really need help on this! Someone, please help!
Answers
Answer:
The numbers correlate with the numbers that were labeled for each question
5. 243.375
4. 146.24
3. 175
Step-by-step explanation:
5.
Area of this figure would equal area of rectangle - area of 2 semi circles
Area of rectangle = length × width
Here length = 28 and width = 15
So area of rectangle = 28 × 15 = 420
Area of semi circle = 1/2(πr²)
where r = radius
Here the width of the rectangle is shared with the diamter of the semi circle meaning the diameter is the width of the rectangle, 15in.
To convert from diameter to radius we simply divide by 2 so radius = 15/2=7.5
So we have A = 1/2(πr²) and r = 7.5 and π = 3.14
==> plug in values
A = 1/2((3.14)(7.5²))
==> evaluate exponent
A = 1/2(3.14)56.25
==> multiply 3.14 and 56.25
A = 1/2(176.625)
==> divide 176.625 by 2
A = 88.3125
The area of one of the semicricles is 88.3125
There are two semi circles so we multiply that by 2
Area of both semi circles = 88.3125 × 2 = 176.625
Finally we subtract the area of the semi circles by the area of the rectangle
Area of composite figure = 420 - 176.625 = 243.375
4.
Total area = area of square + area of triangle + area of quarter circle
Area of square = s² where s = side length
The side length appears to b 8 so area of square = 8² = 64
Area of triangle = 1/2(bh) where b = base length and h = height
The base length appears to be 8 and the height is shared with the length of the square so height also = 8
We have area = 1/2(bh) and b = 8 and h = 8
So area = 1/2(8)(8)
==> multiply 8 by 8
Area = 1/2(64)
==> divide 64 by 2
Area = 32
Area of quarter circle = (1/4)πr²
where r = radius
The radius is shared with the side length of the square which has a length of 8 so radius = 8
So we have area = (1/4)πr² and we have r = 8 and π = 3.14
==> plug in values
Area = 1/4(3.14)(8²)
==> evaluate exponent
Area = 1/4(3.14)(64)
==> multiply 64 and 3.14
Area = 1/4(200.96)
==> divide 200.96 by 4
Area = 50.24
Finally we add all the areas
Total area = 50.24 + 64 + 32 = 146.24
3.
We can use a simple formula because the figure here is a trapezoid
Area of a trapezoid : \(A= \frac{a+b}{2} h\) where a and b= base lengths and h = height
Here the base lenghts appear to be 15 and 20 and the height is 10
So we have \(A= \frac{a+b}{2} h\) and a = 15 , b = 20 and h = 10
==> plug in values
\(A=\frac{15+20}{2} 10\)
==> add 15 and 20
\(A=\frac{35}{2} 10\)
==> divide 35 by 2
A = 17.5(10)
==> multiply 17.5 and 10
A = 175
And we are done!
need help with solving equations
Answers
Answer:
1) -2
2) 6
3) -9
Step-by-step explanation:
1)2/5(x+7)=2(x+3)
2/5x+2.8=2x+6
2/5x=2x+3.2
-1.6x=3.2
x=-2
2)2x+6=2/3x+14
2x=2/3x+8
1 1/3x=8
x=6
3)40+2x=6-8x-56
40+2x=-8x-50
90+2x=-8x
90=-10x
x=-9
A house painter has $100 to buy paint. If each can of paint costs $10, how many cans of paint can the painter buy?
Answers
Answer:
The house painter can buy 10 cans of paint.
Step-by-step explanation:
100 ÷ 10 = 10
Hope this helps! :)
Answer: 10 because he has 100$ and each can of paint costs 10$ so you divide the money he has by the money it costs and you get 10
Step-by-step explanation:
math question geometry
Answers
Answer:
Step-by-step explanation:
Area=7*7=49
?*7=49*2
?*7=98
?=98:7
?=14
will be nice if you give me brainlies.Good luck!
What is the sum? A, B, C, D
Answers
Answer:
The sum is 5/y+5
if you click on the image it will show you the answer to.
How do I simplify 2m=8-6m
Answers
Answer:
2m= 8-6m
2m+6m+=8-6m+6m let me know if this helps
Step-by-step explanation:
rectangle ABCD is translated 5 units to the right. What is the length of the line segment B'C'?
Answers
The length of the line segment B'C' is 3 units.
We can see that from the given graph that,
The coordinates of the points are:
B = (-2, 6)
C = (-2, 3)
If we translate the points 5 units to the right then the changed coordinates will be -
B' = (-2 + 5, 6) = (3, 6)
C' = (-2 + 5, 3) = (3, 3)
So the length of the B'C' is given by,
B'C' = √((3 - 3)² + (6 - 3)²) = √(0² + 3²) = √(0 + 9) = √9 = 3 units.
Hence the length of the line segment B'C' is 3 units.
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