Given the sample mean = 21.15, sample standard deviation = 4.7152, and N = 40 for the low income group,Test the claim that the mean nickel diameter drawn by children in the low income group is greater than 21.21 mm. Test at the 0.1 significance level.Identify the correct alternative hypothesis:p=21.21p=21.21μ>21.21μ>21.21μ=21.21μ=21.21μ<21.21μ<21.21p<21.21p<21.21p>21.21p>21.21
Answers
Answer:
Null hypothesis:
\(\mathtt{H_o : \mu = 21.21}\)
Alternative hypothesis
\(\mathtt{H_1 : \mu \geq 21.21}\)
t = -0.080
Decision Rule: To reject the null hypothesis if t > 1.340 at t
Since t = -0.080, this implies that t < 1.340 that means the t statistics value did not fall into the rejection region. Hence, we fail to reject the null hypothesis at the level of significance 0.10
Conclusion: We conclude that there is insufficient evidence to support the claim that the mean nickel diameter drawn by children in the low-income group is greater than 21.21 mm.
Step-by-step explanation:
Given that:
the sample mean \(\overline x\) = 21.15
the standard deviation \(\sigma\) = 4.7512
sample size N = 40
The objective is to test the claim that the mean nickel diameter drawn by children in the low-income group is greater than 21.21 mm.
At the level of significance of 0.1
The null hypothesis and the alternative hypothesis for this study can be computed as follows:
Null hypothesis:
\(\mathtt{H_o : \mu = 21.21}\)
Alternative hypothesis
\(\mathtt{H_1 : \mu \geq 21.21}\)
This test signifies a one-tailed test since the alternative is greater than or equal to 21.21
The t-test statistics can be computed by using the formula:
\(t= \dfrac{\overline x - \mu }{\dfrac{\sigma}{\sqrt{n}}}\)
\(t = \dfrac{21.15- 21.21 }{\dfrac{4.7152}{\sqrt{40}}}\)
\(t = \dfrac{-0.06 }{\dfrac{4.7152}{6.3246}}\)
t = -0.080
degree of freedom = n - 1
degree of freedom = 40 - 1
degree of freedom = 39
From the t statistical tables,
at the level of significance ∝ = 0.1 and degree of freedom df = 39, the critical value of \(\mathtt{{T_{39,0.10} = 1.304}}\)
Decision Rule: To reject the null hypothesis if t > 1.340 at t
Since t = -0.080, this implies that t < 1.340 that means the t statistics value did not fall into the rejection region. Hence, we fail to reject the null hypothesis at the level of significance 0.10
Conclusion: We conclude that there is insufficient evidence to support the claim that the mean nickel diameter drawn by children in the low-income group is greater than 21.21 mm.
Related Questions
In a standard Normal distribution, what proportion of observations lie below z = 0.18?
Find the z-table here.
0.0359
0.4286
0.5714
O 0.9641
Answers
Answer:
0.5714
Step-by-step explanation:
The Z-table on the problem isn't included here, but if you go to 0.1 on the left side of the table, then find .08 on the top of the table, the box that they overlap in is 0.5714.
.1+.08=.18, so that's how you use a Z-table.
The value of P(x < 0.18) is 0.5714 if in a standard Normal distribution z = 0.18 option third is correct.
What is a normal distribution?It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.
We have:
In a standard Normal distribution, what proportion of observations lie below z = 0.18
z = 0.18
In the bell curve draw a vertical line at z = 0.18
The left area of the bell curve:
From the Z table:
P(x < 0.18) = 0.5714
Thus, the value of P(x < 0.18) is 0.5714 if in a standard Normal distribution z = 0.18 option third is correct.
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Henry correctly factored 42? + 52 - 6 as (4% - 3)(₴ + 2)
• He then claimed that the zeros of that quadratic function are located at
*=-=
and r = 2 . Did Henry correctly find the zeros of the function?
O Yes, Henry correctly found the zeros of the function.
O No, the zeros of the function are at x = 4 and =-2
• No, the zeros of the function are at z = - 5 andx = 2.
• No, the zeros of the function are at & = 4 and ≥ = -2
I attached the question and answer choices
Please help
Answers
Answer:
No, the zeros of the function are at x = 3/4 and x = –2
Step-by-step explanation:
the equation
4x² + 5x – 6 = 0
(note: since there is a coefficient of x² we need to multiply it to the last term(6))
4x² + 5x – 24 = 0
the factors are :- 8x and – 3x
4x² + 8x – 3x – 6 = 0
4x( x + 2) –3( x + 2) = 0
( 4x – 3)( x + 2) = 0
the zeros will be
4x – 3 = 0
4x = 3
\(x = \frac{3}{4} \)
x + 2 = 0
x = – 2
the zeros are x= 3/4 or –2
i hope this helps
39 is what percent of 52?
Answers
Answer:
1.3 percent
Step-by-step explanation:
What is the value of n?
А. 47°
B. 85°
С. 81°
D. 38°
Answers
Answer: 81
Step-by-step explanation: because you have 133 and 142 so if i was you i would subtract
step 1: 142-133 = 9
Step 2: 90 - 9 = 81
There that is your answer 81
length of a rectangle is 2 metre and the breadth is 50 find the ratio of a length to the breadth of a rectangle
Answers
explaining
not sure sorry good luck
Solve for x to make A||B
Answers
Answer: x = 50
Step-by-step explanation:
In the given image, the alternate interior angles are equal. Therefore, 80 + x = 180 - 50 (since straight angles measure 180 degrees). Simplifying this equation, we get 130 + x = 180, which gives us x = 50 degrees. Thus, A||B when x = 50 degrees.
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Tim is taking the path shown to bike to Greg's house. Tim travels an average speed of 15 mi/hr.
Determine how much time it will take Tim to get to Greg's house. (You may use decimals here)
Answers
Answer:
Road:
Distance to Greg's house = 3.2 + 1.7 =
4.9 miles
Time to get to Greg's house =
(4.9 mi)/(15 mi/hr) = about .327 hours = about 19.6 minutes (19 minutes, 36 seconds)
Shortcut:
Distance to Greg's house:
\( \sqrt{ {3.2}^{2} + {1.7}^{2} } = 3.6235 \)
Time to get to Greg's house:
(3.6235 mi)/(15 mi/hr) = about .242 hours = about 14.49 minutes (14 minutes, 30 seconds)
The shortcut is about 4.9 - 3.6235 = 1.28 miles faster (about 5.11 minutes, or 5 minutes, 6 seconds faster)
Find area of trapezium with height 8cm and the sum of its parallel sides as 15cm
Answers
Answer:
The Area of the trapezium is \(60cm^2\)
Step-by-step explanation:
Given,
Height (h)= 8cm
Sum of the parallel sides (a+b)= 15cm
Area of trapezium = \(1/2*h*(a+b)\)
=\(1/2*8*15\)
=\(4*15\)
Area of trapezium=60cm^2
Answer: Area = 60 cm²
Step-by-step explanation:
To find the area of a trapezium we use the formula
Area of trapezium = 1/2 (sum of parallel sides) × height
∴ Area = 1/2 ×15 cm × 8 cm
= 60 cm²
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Find The Length of the hypothesis in the triangle below, Write the answer to 2 decimal places
Answers
The length of the hypotenuse in this problem is given as follows:
h = 10.6 m.
What is the Pythagorean Theorem?The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side, is equals to the sum of the squares of the lengths of the other two sides.
Hence the equation for the theorem is given as follows:
c² = a² + b².
In which:
c > a and c > b is the length of the hypotenuse.a and b are the lengths of the other two sides (the legs) of the right-angled triangle.The side lengths for this problem are given as follows:
7m and 8m.
Hence the hypotenuse is obtained as follows:
h² = 7² + 8²
\(h = \sqrt{7^2 + 8^2}\)
h = 10.6 m.
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Chứng minh A -> B
(C^D)->A
(B^E)->F
D
C
Answers
Answer:
i know what is the correct answer
letter A
Step-by-step explanation:
o i know im genious btw can you brainliest me
Given: f(x) = 4.1 42 4x-10 x-2 Determine the x- and y-intercepts of f. 4.3 a x=2² Write f(x) in the form: f(x)=- + q. Draw the graph of f, clearly show the intercepts with the axes and the asymptotes.: 15. 44 Give the equations of the asymptotes of f(x) + 3.
Answers
f(x) = 4.1/(42.4x-10(x-2)), x-intercept = -4.878, y-intercept = (0,-2.05), asymptotes: vertical at x=2, horizontal at y=0, and slant at y=4.1/8x.
Given: f(x) = 4.1/(42.4x-10(x-2))
To find the x-intercept, we set f(x) to zero and solve for x:
0 = 4.1/(42.4x-10(x-2))
0 = 4.1/(32.4x+20)
0 = 4.1/4.08(x+4.878)
So, the x-intercept is x = -4.878.
To find the y-intercept, we set x to zero and solve for f(x):
f(0) = 4.1/(42.4(0)-10(0-2))
f(0) = -2.05
So, the y-intercept is (0,-2.05).
To write f(x) in the form f(x) = -1/(ax + b) + q, we can simplify the expression as follows:
f(x) = 4.1/(42.4x-10(x-2))
f(x) = 4.1/(32.4x+20)
f(x) = 4.1/4.08(8x+5)
So, a = 8, b = 5, and q = 4.1/4.08.
To draw the graph of f, we plot the x- and y-intercepts and the vertical asymptote x = 2.
We can find the horizontal asymptote by noting that as x becomes very large or very small, the term 10(x-2) dominates the expression, so f(x) approaches 4.1/-10x. Thus, the horizontal asymptote is y = 0.
To find the equations of the slant asymptotes, we divide the numerator by the denominator using long division:
4.1
8x + 5 | 4.1
- 4.1
0
So, the slant asymptote is y = 4.1/8x.
Therefore, the intercepts of f are x = -4.878 and (0,-2.05), and the equation of f(x) in the form f(x) = -1/(ax + b) + q is f(x) = -1/(8x + 5) + 1.0039.
The graph of f has intercepts with the x-axis at x = -4.878 and the y-axis at (0,-2.05), a vertical asymptote at x = 2, a horizontal asymptote at y = 0, and a slant asymptote at y = 4.1/8x.
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using the right triangle
Find the value of x'
13
X
12
Answers
Answer:
5
Step-by-step explanation:
Apply Pythagorean theorem
\(13 {}^{2} = 12 {}^{2} + x {}^{2} \\ 169 = 144 + x {}^{2} \\ x {}^{2} = 169 - 144 \\ x {}^{2} = 25 \\ x = \sqrt{25} \\ x = 5\)
Answer:
A. \(\displaystyle 5\)
Step-by-step explanation:
Use the Pythagorean Theorem:
\(\displaystyle a^2 + b^2 = c^2 \\ \\ 12^2 + b^2 = 13^2 \hookrightarrow 144 + b^2 = 169 \hookrightarrow \sqrt{25} = \sqrt{b^2} \\ \\ \boxed{5 = b}\)
I am joyous to assist you at any time.
2. 35 × 10²=? Word form_________.
Answers
The expression 35 × 10² written in word form is thirty-five times the second power of ten.
How to write exponential expression in word?35 × 10²
Times means Multiplication ( × )Power means the exponent ( ^ )35 × 10²
.= thirty-five times the second power of ten.
This is written in scientific notation
Scientific notation is a method of writing or displaying real numbers as a decimal number between 1 and 10 followed by an integer power of 10. It is also the alternative format of such a decimal number immediately followed by E and an integer.
For instance,
The number 0.00236 is written in scientific notation as 2.36×10^−3 or as 2.36E^-3.
Therefore, the expression 35 × 10² written in word form is thirty-five times the second power of ten.
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\( \sqrt{20} \times \sqrt{15} \times \sqrt{3} \)
can you help me solve it
Answers
In a simple regression analysis (where y is a dependent and x an independent variable), if the slope is positive, then it must be true that _____.
a. there is no correlation between x and y
b. there is a negative correlation between x and y
c. there is a positive correlation between x and y
d. the y-intercept is 0
Answers
Answer:
c. there is a positive correlation in-between x and y
Step-by-step explanation:
A regression line is a line that suggests that all the points in a scatter diagram lie on or near one particular line. In a simple regression analysis in which y is the dependent variable and x is the independent variable. If the slope is positive, the bivariate data is also said to have a positive correlation. The positive correlation in-between two variables x and y implies that in general, an increase in x goes hand in hand with an increase in y.
Regression Analysis is defined as the set of statistical and reliable processes for establishing the relationship between the independent and dependent variables.
The correct statement can be given as:
In a simple regression analysis (where y is a dependent and x an independent variable), if the slope is positive, then it must be true that there is a positive correlation between x and y.
The regression line suggests that all the points lie near a particular line. It can be explained as:
1. In a simple regression analysis, the dependent variable is y.
2. Similarly, the independent variable is x.
3. Given, if the slope is positive, then the correlation will be positive.
4. The positive relation implies that if x increases then they will also increase in simple regression analysis.
Thus, in the simple regression analysis there exists a positive correlation between x and y.
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find the coordinate of a triangle a(1,3) , b(2,5) and c(3,3) after being rotated about fixed point p(2,4) by 45 in clockwise direction and then translate (3,4) .
Answers
After the transformation point A will be at (5, 6.586), point B will be at (5.121, 7.121) and point C will be at (6.121, 5.121).
STEPS FOR FIND THE COORDINATEThe coordinates of a triangle after rotation and translation can be found using the following steps:
Rotation: To rotate a point (x, y) about a fixed point (a, b) by an angle θ (in this case, 45 degrees in the clockwise direction), you can use the following formulas to find the new coordinates:x' = (x - a) * cos(θ) - (y - b) * sin(θ) + a
y' = (x - a) * sin(θ) + (y - b) * cos(θ) + b
Translation: To translate a point (x, y) by a distance (dx, dy) in the x and y direction, you can use the following formulas to find the new coordinates:x' = x + dx
y' = y + dy
So for the first vertex of the triangle(1,3) after being rotated about fixed point p(2,4) by 45 in clockwise directionx' = (1 - 2) * cos(45) - (3 - 4) * sin(45) + 2 = -1.121 + 1.121 + 2 = 2.000
y' = (1 - 2) * sin(45) + (3 - 4) * cos(45) + 4 = -0.707 - 0.707 + 4 = 2.586
And after the translation (3,4) for point Ax' = 2 + 3 = 5
y' = 2.586 + 4 = 6.586
similarly for point B(2,5) will be (5.121,7.121)
and for point C(3,3) will be (6.121,5.121)
So after the transformation point A will be at (5, 6.586), point B will be at (5.121, 7.121) and point C will be at (6.121, 5.121)Learn more about coordinate of a triangle here:
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What are the roots of the polynomial function? F(x) = x3 + 3x2 - 9x + 5
Answers
I can’t figure out the surface area. Someone please help !! :)
Answers
Step-by-step explanation:
diameter is 8•5
radius is d/2
8•5/2
=4•25
surface area = 4πr^2
4×22/7×4•25×4•25
=1589•5/7
=227•1
Volume= 4/3πr^3
4/3×22/7×4•25×4•25×4•25
4/3×22/7×76•76
=321•7
Hope it helps
plz mark as brainliest
FOR 100 POINTS!!!!!!!!!!!
A food truck did a daily survey of customers to find their food preferences. The data is partially entered in the frequency table. Complete the table to analyze the data and answer the questions:
Likes hamburgers Does not like hamburgers Total
Likes burritos 29 41
Does not like burritos 54 135
Total 110 205
Part A: What percentage of the survey respondents liked neither hamburgers nor burritos? Show all work. (3 points)
Part B: What is the marginal relative frequency of all customers who like hamburgers? Show all work. (3 points)
Part C: Is there an association between liking burritos and liking hamburgers? Use ratios of joint and marginal frequencies to support your answer. (4 points)
Answers
Answer:
Part A:
To find the percentage of survey respondents who liked neither hamburgers nor burritos, we need to calculate the frequency in the "Does not like hamburgers" and "Does not like burritos" categories.
Frequency of "Does not like hamburgers" = Total in "Does not like hamburgers" category = 135
Frequency of "Does not like burritos" = Total in "Does not like burritos" category = 54
Total respondents who liked neither hamburgers nor burritos = Frequency of "Does not like hamburgers" + Frequency of "Does not like burritos" = 135 + 54 = 189
Percentage of survey respondents who liked neither hamburgers nor burritos = (Total respondents who liked neither hamburgers nor burritos / Total respondents) x 100
Percentage = (189 / 205) x 100 = 92.2%
Therefore, 92.2% of the survey respondents liked neither hamburgers nor burritos.
Part B:
To find the marginal relative frequency of all customers who like hamburgers, we need to divide the frequency of "Likes hamburgers" by the total number of respondents.
Frequency of "Likes hamburgers" = 110 (given)
Total respondents = 205 (given)
Marginal relative frequency = Frequency of "Likes hamburgers" / Total respondents
Marginal relative frequency = 110 / 205 ≈ 0.5366 or 53.66%
Therefore, the marginal relative frequency of all customers who like hamburgers is approximately 53.66%.
Part C:
To determine if there is an association between liking burritos and liking hamburgers, we can compare the joint and marginal frequencies.
Joint frequency of "Likes hamburgers" and "Likes burritos" = 29 (given)
Marginal frequency of "Likes hamburgers" = 110 (given)
Marginal frequency of "Likes burritos" = 70 (calculated by adding the frequency of "Likes burritos" in the table)
To assess the association, we compare the ratio of the joint frequency to the product of the marginal frequencies:
Ratio = Joint frequency / (Marginal frequency of "Likes hamburgers" x Marginal frequency of "Likes burritos")
Ratio = 29 / (110 x 70)
Ratio ≈ 0.037 (rounded to three decimal places)
Question 1-20
Determine mzi.
기
1
33°
83°
Answers
Answer:
\(m < 1 = 116 \: degrees\)
Step-by-step explanation:
To find m < 1 we have to first acknowledge that a triangle measures 180°. You should also note that a straight line also measures 180°. Therefore the third unknown angle in the triangle would be:
\(180 - (33 + 83 = 116) \\ 180 - 116 = 64\\ unknown \: angle \: is \: 64° \\ \)
Since the unknown angle and m < 1 form a straight line then that means that they add together to make 180°. Hence
\(m < 1 = 180 - 64 \\ m < 1 = 116°\)
Find the product. 1.25(40)
Answers
Answer:
The answer is 50
Step-by-step explanation:
You just have to multiply them both if i'm not mistaken.
Use a graphing calculator to sketch the graph of the quadratic equation, and then give the coordinates for the x-intercepts (if they exist).
y = negative x squared + 15 x minus 56
a.
(-7, 0); (-8, 0)
c.
(-7, 0); ( 8, 0)
b.
( 7, 0); (-8, 0)
d.
( 7, 0); ( 8, 0)
Please select the best answer from the choices provided
Answers
When y = -x² + 15x - 56 then coordinates are is (c) (-7, 0); (8, 0).
What are the quadratic functions?Quadratic functions are a type of polynomial function of degree 2, which can be expressed in form f(x) = ax² + bx + c, where a, b, and c are constants, and x is the variable.
The graph of the given quadratic equation y = -x² + 15x - 56 can be plotted using a graphing calculator or any graphing tool. The x-intercepts are the points on the x-axis where the graph intersects the x-axis, i.e., the points where y = 0. By plotting the graph, we can determine the x-intercepts to be (-7, 0) and (8, 0), which correspond to option (c) (-7, 0); (8, 0).
Option (a) and (b) have incorrect x-coordinates for the x-intercepts, and option (d) has both positive x-coordinates for the x-intercepts, which is not correct based on the graph of the given quadratic equation.
Hence, option (c) is the correct answer.
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I NEED HELP PLEASEEE!!!! I HAVE BEEN WORKING ALL DAY
Answers
Answer:
188
Step-by-step explanation:
I found and fixed my mistake sorry
Solve for x. Round your answer to the nearest tenth
Answers
Answer:
x = 17.2
Step-by-step explanation:
cos 35 = x/21
0.8192 = x/21
x = 17.2
Identify the circumference of ⊙W given that A=121y2π ft2.
choices
C = 22πy ft
C = 22π ft
C = 11πy ft
C = 11π ft
Answers
Answer:
22\(\pi\)y ft
Step-by-step explanation:
Just got a lucky guess on my quiz. Hope this helps:)
By eating 1 egg, 1 cupcake, and 1 slice of pizza, a child consumes 302 mg of cholesterol. If the child eats 3 cupcakes and 4 slices of pizza, he or she takes in 89 mg of cholesterol. By eating 3 eggs and 1 cupcake, a child consumes 844 mg of cholesterol. How much cholesterol is in each item?
Answers
One egg contains 17.88 mg of cholesterol, one cupcake contains 83.33 mg of cholesterol, and one slice of pizza contains 27.22 mg of cholesterol.
What is the linear equation?
Linear equations are the equations of degree 1. It is the equation for the straight line. The standard form of linear equation is ax+by+c =0, where a ≠ 0 and b ≠ 0.
Let's call the amount of cholesterol in one egg "x".
Then, the amount of cholesterol in one cupcake is "y" and the amount of cholesterol in one slice of pizza is "z".
From the first statement, we can set up the equation:
x + y + z = 302
From the second statement, we can set up another equation:
3y + 4z = 89
And from the third statement, we can set up a third equation:
3x + y = 844
Now we have three equations with three unknowns, so we can solve for the values of x, y, and z.
Starting with the third equation:
3x + y = 844
y = 844 - 3x
Next, we can substitute this expression for y in the first equation:
x + (844 - 3x) + z = 302
4x + z = -542
z = -542 - 4x
Finally, we can substitute these expressions for y and z in the second equation:
3y + 4z = 89
3(844 - 3x) + 4(-542 - 4x) = 89
2532 - 9x + -2168 - 16x = 89
536 - 25x = 89
25x = 536 - 89
25x = 447
x = 17.88
Hence, one egg contains 17.88 mg of cholesterol, one cupcake contains 83.33 mg of cholesterol, and one slice of pizza contains 27.22 mg of cholesterol.
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Chlorpheniramine 100 ml
Lidocaine 2 oz
Banana flavoring ½ tsp
Take 10 ml BID
How many days will this solution last?
Answers
The number of days that this solution will probably last would be = 8 days.
How to calculate the total number of days the solution will last?To calculate the number of days the solution will last the following is taken into consideration.
The parameters given which are not in ml should be converted to ml as follows;
2 Oz of Lidocaine to ml = 2×29.6=59.2ml
½tsp of banana flavouring;
= 1/2×4.92
= 2.5ml
Therefore the total volume of the solution = 100+59.2+2.5 = 161.7ml
But 2×10 = 1 day
20ml = 1 day
161.7ml = X
Make X the subject of formula;
X = 161.7/20
= 8.1
= 8 days.
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Need help quick plz
Answers
Answer:
You would plot 1 \(\frac{1}{10}\) and \(\frac{1}{10}\)
Step-by-step explanation:
What is the surface area of this figure?
Enter your answer in the box.
ft²
Complex solid composed of a triangular prism and a rectangular prism. The triangular prism is centered on the top of the rectangular prism. The rectangular prism bottom face is labeled 19 ft and 9 ft. The height of the rectangular prism is labeled 11 ft. The triangular base has an altitude drawn and labeled 12 ft. The sides of the triangle are labeled 13 ft, 13 ft, and 10 ft. The height of the rectangular prism is 9 ft.
Answers
The surface area of this figure will be 991 square feet.
What is Surface Area?The area of a plane region or plane field refers to the area of a shape or planar substance, whereas surface area refers to the area of an open surface or the boundary of a multi-object.
A complex solid made out of triangular and rectangular prisms. The triangular prism is centred on the top of the rectangular prism.
The surface area of the shape is given as,
SA = 2(19 x 11 + 11 x 9) + 19 x 9 + 10x 9 + 13 x 12 + 13 x 12
SA= 2(209) + 171 + 90 + 156 + 156
SA = 418 + 171 + 90 + 312
SA = 991 ft²
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cual es el resultado de simplificar. Adjunto foto
Answers
Answer:
⣿⣯⣿⣟⣟⡼⣿⡼⡿⣷⣿⣿⣿⠽⡟⢋⣿⣿⠘⣼⣷⡟⠻⡿⣷⡼⣝⡿⡾⣿ ⣿⣿⣿⣿⢁⣵⡇⡟⠀⣿⣿⣿⠇⠀⡇⣴⣿⣿⣧⣿⣿⡇⠀⢣⣿⣷⣀⡏⢻⣿ ⣿⣿⠿⣿⣿⣿⠷⠁⠀⠛⠛⠋⠀⠂⠹⠿⠿⠿⠿⠿⠉⠁⠀⠘⠛⠛⠛⠃⢸⣯ ⣿⡇⠀⣄⣀⣀⣈⣁⠈⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠠⠎⠈⠀⣀⣁⣀⣀⡠⠈⠉ ⣿⣯⣽⡿⢟⡿⠿⠛⠛⠿⣶⣄⠀⠀⠀⠀⠀⠀⠈⢠⣴⣾⠛⠛⠿⠻⠛⠿⣷⣶ ⣿⣿⣿⠀⠀⠀⣿⡿⣶⣿⣫⠉⠀⠀⠀⠀⠀⠀⠀⠈⠰⣿⠿⠾⣿⡇⠀⠀⢺⣿ ⣿⣿⠻⡀⠀⠀⠙⠏⠒⡻⠃⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠐⡓⢚⠟⠁⠀⠀⡾⢫ ⣿⣿⠀⠀⡀⠀⠀⡈⣉⡀⡠⣐⣅⣽⣺⣿⣯⡡⣴⣴⣔⣠⣀⣀⡀⢀⡀⡀⠀⣸ ⣿⣿⣷⣿⣟⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⢾⣷⣿ ⣿⣿⣟⠫⡾⠟⠫⢾⠯⡻⢟⡽⢶⢿⣿⣿⡛⠕⠎⠻⠝⠪⢖⠝⠟⢫⠾⠜⢿⣿ ⣿⣿⣿⠉⠀⠀⠀⠀⠈⠀⠀⠀⠀⣰⣋⣀⣈⣢⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⢸⣿ ⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿ ⣿⣿⣿⣿⣦⡔⠀⠀⠀⠀⠀⠀⢻⣿⡿⣿⣿⢽⣿⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿ ⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠘⠛⢅⣙⣙⠿⠉⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣄⣅⠀⠓⠀⠀⣀⣠⣴⣺⣿⣿⣿⣿⣿⣿⣿⣿
Step-by-step explanation:
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