For the given normal distribution a. We expect approximately 954 chicks to hatch between 25 and 33 days. b. We expect approximately 683 chicks to hatch between 27 and 31 days.
What is normal distribution?A probability distribution that is frequently used in statistics is the normal distribution, usually referred to as the Gaussian distribution. The majority of the data are within one standard deviation of the mean, resulting in a bell-shaped curve that is symmetrical around the mean.
In a normal distribution, the mean, median, and mode are all equal, and the mean and standard deviation serve as the two parameters that define the curve. While the standard deviation reflects the distribution's spread, the mean represents the distribution's centre.
The z-score is given by the formula:
z = (x - mu) / sigma
a. For 25 to 33 days:
z = (25 - 29) / 2
z = -2
and
z = (33 - 29) / 2
z = 2
Thus, P(z < 2) = 0.9772.
Now, we have:
P(25 < x < 33) = P(z < 2) - P(z < -2)
P(25 < x < 33) = 0.9772 - 0.0228
P(25 < x < 33) = 0.9544
Expected number of chicks = 0.9544 x 1000 = 954.4
Hence, we expect approximately 954 chicks to hatch between 25 and 33 days.
b. For 27 to 31 days:
P(27 < x < 31) = P(z < 1) - P(z < -1)
P(27 < x < 31) = 0.8413 - 0.1587
P(27 < x < 31) = 0.6826
Expected number of chicks = 0.6826 x 1000 = 682.6
Therefore, we expect approximately 683 chicks to hatch between 27 and 31 days.
c. For 29 days or fewer:
P(x <= 29) = P(z <= 0) = 0.5
Expected number of chicks = 0.5 x 1000 = 500
d. In 23 to 35 days:
P(23 < x < 35) = P(z < 3) - P(z < -3)
P(23 < x < 35) = 0.9987 - 0.0013
P(23 < x < 35) = 0.9974
Expected number of chicks = 0.9974 x 1000 = 997.4
Learn more about normal distribution here:
https://brainly.com/question/31197941
#SPJ1
The area of the triangle below is 2/15 square feet. What is the length of the base? Express your answer as a fraction in simplest form.
The base of the triangle is 3/2 feet or 1 1/2 feet
What is area of triangle?Triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices. A triangle is also a polygon.
The area of triangle is expressed as ;
A = 1/2 bh
The area of the of the triangle is 2/15 and the height is 2/5.
2/15 = 1/2 b × 2/5
2/15 = 2b/10
20 = 30b
divide both sides by 30
b = 30/20
b = 3/2
there the base of the triangle is 3/2.
learn more about area of triangle from
https://brainly.com/question/17335144
#SPJ1
Theodore and Sarah have a small business selling custom-made T-shirts. They currently sell 175 shirts per month and charge $15 per T-shirt. Sarah thinks they can
increase their revenue by increasing their selling price, but Theodore knows from experience that each $1 increase in price will decrease the number of T-shirts they sell
by 8 shirts per month. Find an expression for the total monthly revenue Theodore and Sarah's business can generate if they change the selling price of their T-shirts. Let
x represent the number of $1 increases in the price of the T-shirts.
Answer
R(x) =
Keypad
Keyboard Shortcut
Marco planted 288 strawberry plants
in 12 rows. If each row had the same
number of plants, how many plants
were in each row?
Please help! (the question on the picture)
Answer:
-23
Step-by-step explanation:
15(-3)/9 + 4(-3)-6
-45/9 + (-12)-6
-5 + (-18)
-23
(missed the -6 sorry)
Answer:
-23
Step-by-step explanation:
15(-3)/9 +4(-3) -6 = -5 -12 -6 = -23
Please help me im in the middle of a makeup quizzz. SHOW WORKK
Answer:
Hey
So my brother posted this on Yahoo
Draw a line from the center of the circle to one of the ends of the chord (water surface) and another to the point at greatest depth. A right-angled triangle is formed. Length of side to the water-surface is 5 cm, the hypot is 7 cm.
What you do now is the following:
Calculate the angle θ in the corner of the right-angled triangle by: cos θ = 5/7 ⇒ θ = cos ˉ¹ (5/7)
So θ is approx 44.4°, so the angle subtended at the center of the circle by the water surface is roughly 88.8°
The area shaded will then be the area of the sector minus the area of the triangle above the water in your diagram.
Shaded area ≃ 88.8/360*area of circle - ½*7*7*sin88.8°
= 88.8/360*π*7² - 24.5*sin 88.8°
≃ 13.5 cm²
(using area of ∆ = ½.a.b.sin C for the triangle)
b)
volume of water = cross-sectional area * length
≃ 13.5 * 30 cm³
≃ 404 cm³
Hoped it Helped
Step-by-step explanation:
Hey
So my brother posted this on Yahoo
Draw a line from the center of the circle to one of the ends of the chord (water surface) and another to the point at greatest depth. A right-angled triangle is formed. Length of side to the water-surface is 5 cm, the hypot is 7 cm.
What you do now is the following:
Calculate the angle θ in the corner of the right-angled triangle by: cos θ = 5/7 ⇒ θ = cos ˉ¹ (5/7)
So θ is approx 44.4°, so the angle subtended at the center of the circle by the water surface is roughly 88.8°
The area shaded will then be the area of the sector minus the area of the triangle above the water in your diagram.
Shaded area ≃ 88.8/360*area of circle - ½*7*7*sin88.8°
= 88.8/360*π*7² - 24.5*sin 88.8°
≃ 13.5 cm²
(using area of ∆ = ½.a.b.sin C for the triangle)
b)
volume of water = cross-sectional area * length
≃ 13.5 * 30 cm³
≃ 404 cm³
Hoped it Helped
Quadrilateral ABCD is the result of a reflection of quadrilateral EFGH over the line.
Which line segment in the image corresponds to EH⎯in the pre-image?
Responses
CD⎯
BC⎯
AB⎯
AD⎯
The answer of the given question based on the quadrilateral is , the line segment corresponding to EH⎯ is AD⎯.
What is Line segment?A line segment is a part of a line that consists of two endpoints and all the points between those endpoints that are collinear (lying on the same straight line). In other words, a line segment is a straight line that is bounded by two distinct points. A line segment is usually denoted by drawing a line over the two endpoints and labeling it with a single letter representing the segment name or by labeling the endpoints with capital letters and drawing a bar over them to indicate the segment between them.
A line segment has a finite length and can be measured using a ruler or a measuring tape. The length of line segment is distance between its two endpoints.
In the pre-image, the line segment corresponding to EH⎯ is AD⎯.
To know more about Collinear visit:
https://brainly.com/question/30762893
#SPJ1
A ball is kicked straight up into the air from a height of 12 ft with an initial velocity of 64ft/s
Answer: the ball reaches a maximum height of 76 ft, and it takes 2 seconds to reach the highest point.
Step-by-step explanation: The acceleration induced by gravity is estimated to be approximately -32 ft/s^2, with the negative value indicating its downward direction.
At the apogee of the ball's trajectory, its vertical velocity experiences a momentary cessation.
The duration required for the ball to attain its maximum height can be determined through employment of the equation t = Vf / a, in which Vf denotes the attained final velocity (which is zero in the present scenario) and a denotes the gravitational acceleration. Upon substitution of the given numerical values, the resulting value of t is determined to be equal to 2 seconds, achieved through the utilization of the equation t = 64 / 32.
The determination of the maximum height achieved by the ball can be achieved through utilization of the formula h = hi + Vit + 1/2at^2, with hi denoting the initial height (12 ft), Vi representing the initial velocity (64 ft/s), a signifying the acceleration due to gravity (-32 ft/s^2), and t representing the time it takes for the ball to reach the apex of its trajectory (2 seconds). Upon entering the provided numerical values into the formula, the resulting value for the height of the object can be determined as h = 12 + 64(2) + 1/2(-32)(2)^2, which equates to 76 feet.
Please solve this for me
Therefore, the magnitude of the acceleration is instantaneously zero at t = 5/3 and t = 1. Therefore, the displacement of P from the origin when t = 2 is -8/3 meters.
What is function?A function is a mathematical concept that describes a relationship between two sets of values, called the domain and the range. It is a rule or a set of rules that assigns a unique output value for every input value in the domain. In other words, it is a process that takes one or more inputs and produces a corresponding output. Functions are commonly represented using equations, graphs, or tables. They are used in various branches of mathematics, science, engineering, and technology to model real-world phenomena, make predictions, and solve problems.
Here,
(a) To find the acceleration, we need to take the derivative of the velocity function with respect to time:
a = dv/dt
= d/dt (t³ - 4t² + 5t + 1)
= 3t² - 8t + 5
(b) To find the values of t for which the magnitude of the acceleration is instantaneously zero, we need to solve the equation:
|a| = |3t² - 8t + 5|
= 0
This occurs when 3t² - 8t + 5 = 0, which factors as (3t - 5)(t - 1) = 0. Therefore, the magnitude of the acceleration is instantaneously zero at t = 5/3 and t = 1.
(c) To find the displacement of P from the origin when t = 2, we need to integrate the velocity function from t = 0 to t = 2:
s = ∫(v dt)
= ∫(t³ - 4t² + 5t + 1 dt)
= (1/4)t⁴ - (4/3)t³ + (5/2)t² + t + C
We know that s(0) = 3, so we can solve for C:
3 = (1/4)(0)⁴ - (4/3)(0)³ + (5/2)(0)² + 0 + C
C = 3
Therefore, the displacement of P from the origin when t = 2 is:
s(2) = (1/4)(2)⁴ - (4/3)(2)³ + (5/2)(2)² + 2 + 3
= -8/3 meters
To know more about function,
https://brainly.com/question/28193995
#SPJ1
A yoghurt brand produces a regular yoghurt
and a low-sugar yoghurt. Adverts for both
yoghurts are shown below.
If the recommended daily allowance of sugar
is 30 g, how much sugar does the low-sugar
yoghurt contain?
Give your answer in grams (g).
Regular yoghurt
Only 7% of your recommended
daily allowance of sugar!
Low-sugar yoghurt
Contains 26% less sugar than
our regular yoghurt!
Reduced
sugar
As a result, 1.554 g of sugar are included in the low-sugar yoghurt as if the low-sugar yoghurt has 26% less sugar.
what is unitary method ?A proportion is put up using a single unit when using a unitary method. For instance, the price of 1 apple is $2/3 if 3 bananas cost $2. The cost among one unit of something like the quantity "apples" is represented by this value of $2/3. In a similar vein, if a car can drive 300 km on 20 litres of gas, how far can it go on one litre of gas? The answer is 15 km (300/20). Finance, science, and engineering are just a few of the fields where the unitary technique can be applied to solve issues.
given
Regular yoghurt contains: If only 7% of the daily required amount of sugar is present in it:
7% of 30 g = [tex](7/100) * 30 g = 2.1 g[/tex]
This indicates that 2.1 g of sugar are present in ordinary yoghurt.
Hence, if the low-sugar yoghurt has 26% less sugar than the standard yoghurt, it contains:
[tex]1.554 g = 2.1 g - (26/100) x 2.1 g = 2.1 g - 0.546 g[/tex]
As a result, 1.554 g of sugar are included in the low-sugar yoghurt as if the low-sugar yoghurt has 26% less sugar.
To know more about unitary method visit:
https://brainly.com/question/28276953
#SPJ1
7+ 3(v - 2u)
u+1
=
10
[?
u=2 v=5
Answer:
10/3
Step-by-step explanation:
u = 2
v = 5
7 + 3(v - 2u)
= 7 + 3(5 - 2*2)
= 7 + 3(5 - 4)
= 7 + 3(1)
= 7 + 3
= 10
u + 1
= 2 + 1
= 3
7 + 3(v - 2u)/u + 1
= 10/3
What is the measure of angle B?
Answer:
36°
Step-by-step explanation:
angle a= 180-117
angle a=63°. because angles on straight line add to 180°
angle b= 180-81-63
angle b=36°. because angles in triangle add to 180°
11.find the values of c that satisty the Mean Value Theorem. Show steps
Note that the value of C that satisfies the mean value theorem is -11/6
What is the mean value theorem?
The mean value theorem in mathematics says that for each given planar arc between two end points, there exists at least 1 point where the tangent to the arc is parallel to the secant between its ends. It is one of the most significant findings in real - world analysis.
To apply the mean value theorem, we need to check 2 conditions
f(x) is continuous on [-3, -1]
f(x) is differentiable on (-3, -1)
f(x) = (x^2-1/3x) satisfies both conditions.
Now, let's find the value of c that satisfies the mean value theorem:
f(-1) - f(-3) = f'(c)(-1 - (-3))
(2/3) - (-26/3) = f'(c)(2)
f'(c) = -4
To find the value of c, we need to solve for c in f'(c) = -4 ...
f '(x) = d/d x(x² -1/3x)
= 2x - 1/3
2c - 1/3 = -4
2c = -4 + 1/3
c = -11/6
So we can state that the value of c that satisfies the mean value theorem is -11/6
Larn more about the Mean Value Theorem:
https://brainly.com/question/30403137
#SPJ1
divide. State the quotient in simplest form. 4x^5/
Hence, the quotient is [tex]2x^2[/tex] in its simplest form as the numerator by the denominator to simplify the quotient.
what is ratio ?In addition, ratios can be used to compare components of an ensemble, such as the ration of a circle's surface area to its circumference. As it is a linear correlation that cannot be reduced, the ratio in this instance is not simplified. In mathematics, science, economics, and many other disciplines, ratios are frequently employed to explain and study the quantitative relationships between various values.
given
The ratio is:
[tex]4x^5 / (2x^3)[/tex]
We can divide the numerator by the denominator to simplify the quotient.
By dividing 4x5 by 2x3, we obtain:
[tex](4x^5) / (2x^3) = 2x^(5-3) = 2x^2[/tex]
Hence, the quotient is [tex]2x^2[/tex] in its simplest form as the numerator by the denominator to simplify the quotient.
To know more about ratio visit:
https://brainly.com/question/29467965
#SPJ1
A tile is selected from seven tiles, each labeled with a different letter from the first seven letters of the alphabet.
The letter selected will be recorded as the outcome.
Consider the following events.
Event X: The letter selected comes before "D".
Event Y : The letter selected is found in the word "CAGE".
Give the outcomes for each of the following events.
If there is more than one element in the set, separate them with commas.
a) The only outcome that satisfies both events X and Y is the letter C.
b) The outcomes that satisfy either event X or event Y are {A, B, C, E, G}.
c) The complement of event X is {D, E, F, G}.
What is probability?
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.
The outcomes for each of the following events are:
(a) Event "X and Y": {C}
To satisfy both events X and Y, the letter selected must come before "D" (which includes the letters A, B, and C) and must be one of the letters in the word "CAGE" (which includes only the letter C). Therefore, the only outcome that satisfies both events X and Y is the letter C.
(b) Event "X or Y": {A, B, C, E, G}
The outcomes that satisfy event X are A, B, and C (since they come before "D"), and the outcomes that satisfy event Y are C, A, G, and E (since they are letters found in the word "CAGE"). Therefore, the outcomes that satisfy either event X or event Y are {A, B, C, E, G}.
(c) The complement of event X: {D, E, F, G}
The complement of event X is the set of outcomes that do not satisfy event X. The outcomes that do not satisfy event X are D, E, F, and G (since they come after or are equal to "D"). Therefore, the complement of event X is {D, E, F, G}.
To learn more about probability from the given link:
https://brainly.com/question/30034780
#SPJ1
For which of the following operations must two rational functions first have a common denominator? Select all that apply.
addition
division
multiplication
subtraction
Answer:
addition and subtraction
What is the measure of t? *
So
10
to
25°
The calculated measure of t from the given equation is 15 degrees
Calculating the measure of t?From the question, we have the following parameters that can be used in our computation:
10
to
25°
When expressed properly, we have
10° + t° = 25°
Evaluate the like terms
So, we have
t° = 15°
Hence, the value of t° is 25°
Read more about equations at
https://brainly.com/question/18831322
#SPJ1
Expand (x-y)3 using Pascal triangle
Answer:
To expand (x-y)³ using Pascal’s triangle, we can write:
1
1 1
1 2 1
1 3 3 1
Each row of the triangle represents the coefficients of the binomial expansion of (a+b)ⁿ, with the top row being n=0.
So for (x-y)³, we take the fourth row of the triangle (starting with n=0), and substitute x and y into the formula, alternating the signs of y:
1x³ + 3x²(-y) + 3x(-y)² + 1(-y)³
= x³ - 3x²y + 3xy² - y³
Thus, (x-y)³ = x³ - 3x²y + 3xy² - y³.
need help offering 15 points
Answer: C
Step-by-step explanation:
your typical equation for varies inversely is y=k/x
here E = k/d² from the wording of problem. plug in numbers to solve for k.
120=k/20²
k=48000
plug k back in to get generic E equation.
E=48000/d²
2a^2 - 4b - 4a (b - a) = ?
a=4 b=7
Suppose the odds for a bet are 11: 1. Your friend tells you that he thinks the odds are too generous. Select all of the odds that are less generous.
Answer
Select all that apply.
4:1
6:1
19:1
18:1
Answer:
Step-by-step explanation:
4:1 and 6:1
how do i solve this. step by step
The equation of the line is
y = (-1/2)x + 3How to find the equation of the lineTo find the equation of the line passing through the points (2,2) and (-2,0), we can use the point-slope form of the equation of a line:
y - y1 = m(x - x1)
where
m is the slope of the line, and
(x1, y1) are the coordinates of one of the points on the line.
First, we need to find the slope of the line. The slope is given by:
m = (0 - 2) / (-2 - 2) = -1/2
substituting the points
y - 2 = (-1/2)(x - 2)
Expanding the right side and simplifying, we get:
y - 2 = (-1/2)x + 1
y = (-1/2)x + 3
Learn more about equation of a line at
https://brainly.com/question/18831322
#SPJ1
1.
Find the area of the kite.
253.92 m²
380.88 m²
126.96 m²
190.44 m²
6.9 m
9.2 m
9.2 m
13.8 m
Step-by-step explanation:
Area of a kite = D1 × D2/2
D1 = 6.9 + 13.8 = 20.7m
D2 = 9.2 + 9.2 = 18.4m
Area =. 20.7 × 18.4
------------------
2
= 190.44m²
A ramp is being made in the shape of a right triangular prism with dimensions shown below. It is to be made from concete that weighs 150 pounds per cubic foot.
1.5 ft, 15 ft, and 6ft is the demensions
In the given problem, the ramp weighs 10,125 pounds.
How to Solve the Problem?To calculate the weight of the ramp, first, determine its volume and then multiply it by the weight of concrete per cubic foot.
The ramp is shaped like a right triangle prism, with a triangular base and three rectangular faces. The ramp's measurements are as follows:1.5 feet in height15 feet is the length of the base (b).6 feet in length (l).
The area of the triangular base can be determined using the triangle area formula: A = 0.5 * b * h A = 0.5 * 15 * 1.5A = 11.25 ft^2
The volume of the ramp can be estimated by multiplying the base area by the ramp length: V = A * l V = 11.25 feet 2 feet 6 feet
V = 67.5 ft^3
Finally, the weight of the ramp can be calculated by multiplying the volume by the weight of concrete per cubic foot:W = V * 150 lbs/ft3 W = 67.5 feet * 150 lbs/ft3 W = 10,125 pounds
As a result, the ramp weighs 10,125 pounds.
Learn more about weight here: https://brainly.com/question/25747113#SPJ1
Polygon ABCD with vertices at A(-4,6), B(-2,2), C(4,-2) and D (4,4) is dilated using a scale factor of 3/5 to create polygon A’B’C’D’. Determine the vertices of A’B’C’D’
.
A’(-12,18), B’(-6,6), C’(12,-6), D’(12,12)
2a. Find the volume of the model of Saturn.
2
Eliza made sphere-shaped
models of the Earth and Saturn
out of playdough for a science
project. The model of Earth has
a diameter of 4.8 cm and the
model of Saturn has a diameter
of 45.6 cm.
The volume of the modelled Saturn is 2176.40 cm³.
How to find the volume of the spherical Saturn?Eliza made sphere-shaped models of the Earth and Saturn out of playdough for a science project. The model of Earth has a diameter of 4.8 cm and the model of Saturn has a diameter of 45.6 cm.
Therefore, the volume of the spherical Saturn can be found as follows:
volume of the Saturn = 4 / 3 πr³
where
r = radius
Therefore,
r = 45.6 / 2 = 22.8 cm
volume of the Saturn = 4 / 3 × 3.14 × 22.8²
volume of the Saturn = 4 / 3 × 3.14 × 519.84
volume of the Saturn = 6529.1904 / 3
volume of the Saturn = 2176.3968
volume of the Saturn = 2176.40 cm³
learn more on volume here:https://brainly.com/question/16446322
#SPJ1
-) A freight train left Berlin and traveled
toward Johannesburg at an average speed
of 45 km/h. Sometime later a passenger
train left traveling in the same direction
but at an average speed of 72 km/h. After
traveling for ten hours the passenger train
caught up with the freight train. Find the
number of hours the freight train traveled
before the passenger train caught up.
4
Therefore, the freight train traveled for 16.67 + 10 = 26.67 hours before the passenger train caught up with it.
let's call the time it took for the passenger train to catch up with the freight train "t" (in hours).
During this time, the freight train traveled at its average speed of 45 km/h for t + 10 hours, while the passenger train traveled at its average speed of 72 km/h for t hours.
We know that the distance both trains traveled is the same, since the passenger train caught up with the freight train. So, we can set up the following equation:
distance traveled by freight train = distance traveled by passenger train
[tex](45 km/h) x (t + 10 h) = (72 km/h) x t[/tex]
Simplifying this equation, we get:
[tex]45t + 450 = 72t[/tex]
[tex]27t = 450[/tex]
t = 16.67 hours
Therefore, the freight train traveled for 16.67 + 10 = 26.67 hours before the passenger train caught up with it.
To know more about hours, visit:
https://brainly.com/question/13533620
#SPJ1
Let X be a random variable with the following probability distribution:
Find the standard deviation.
The standard deviation of the random variable X is 2.73861279.
What is standard deviations?Standard deviations is a measure of the spread of a data set around the mean. It is calculated by taking the square root of the variance of the data set and is used to measure the variability of a data set from the mean. Standard deviations are used to measure the probability of a certain outcome occurring and can be used to compare different data sets to see how much variability there is in the data.
Standard deviation is a measure of dispersion of data points around the mean of the data set. It is a measure of the variability of the data set. It is calculated by taking the square root of the variance of the data set.
Variance is the average of the squared differences of each data point from the mean. It is calculated by taking the sum of the squares of the differences of each data point from the mean and dividing by the number of data points minus one.
In this case, the mean of the data set is 3, because the probabilities of -2 and 5 are equal.
The variance of the data set is calculated as follows:
Variance = (0.3*(3-(-2))2 + 0.2*(3-3)2 + 0.5*(3-5)2) / (3-1)
Variance = (0.3*25 + 0 + 0.5*4) / 2
Variance = 7.5
The standard deviation of the data set is calculated by taking the square root of the variance, which is equal to 2.73861279.
Therefore, the standard deviation of the random variable X is 2.73861279.
To know more about standard deviations click-
https://brainly.com/question/475676
#SPJ1
offering 15 points help
Answer:
Step-by-step explanation: X=1
Which number line shows the solution set for |8-2p|= 6?
Answer:
p = 1 or p = 7
So first number line is the answer we are looking for.
Step-by-step explanation:
|8-2p| = 6
We are asked to find the absolute value for this equation.To do that, we need to get rid of the brakes and rewrite equation in two forms:
One in positive state and the other in negative.8 - 2p = 6
or
8 - 2p = -6
For the first state:
8 - 2p = 6
Subtract 8 from the both sides.- 2p = -2
Since both sides are in negative form, they will have positive value.2p = 2
Divide both sides by 2.p = 1
Now, the second state:
8 - 2p = -6
Subtract 8 from both sides.- 2p = -14
Again, both sides are negative and 2 negatives = 1 positive.2p = 14
Divide both sides by 2.p= 7
Use completing the square to solve this quadratic equation. Check all that apply. x2 – 8x + 16 = 2
A.
x = 4 –
B.
x = –4 –
C.
x = 4 +
D.
x = –4 +
The correct options are- B. x = –4 – √2 and D. x = –4 + √2 are the roots of the given quadratic equation.
Define about the completing the square:When a square is complete, a quadratic is written in the shape of a squared bracket, and if necessary, a constant is added. Finding the function's highest or minimum value and the time it happens is one use for the square-root method.
Given quadratic equation:
x² – 8x + 16 = 2
This can be written as:
x² – 2*4x + 4² = 2
(x + 4)² = 2
Taking square root both sides:
√(x + 4)² = √2
(x + 4) = ±√2
x = ±√2 - 4
Or x = -4 + √2 and x = -4 - √2
Thus, the roots of the quadratic equation found by using the method of completing the square are - x = -4 + √2 and x = -4 - √2
know more about the completing the square
https://brainly.com/question/13981588
#SPJ1
Complete question:
Use completing the square to solve this quadratic equation. Check all that apply. x² – 8x + 16 = 2
A. x = 4 –√2
B. x = –4 – √2
C. x = 4 + √2
D. x = –4 + √2
