The number of transgendered people would be expected to disagree with such a platform being allowed to exist in our society under the null hypothesis is 19.00
What Is a null hypothesis?A statistical hypothesis known as a null hypothesis asserts that no statistical significance can be found in a collection of provided observations. Using sample data, hypothesis testing is performed to judge a theory' veracity. It is sometimes referred to as just "the null," and its symbol is H0.
To determine if a theory regarding markets, investing methods, or economies is correct or wrong, quantitative analysts employ the null hypothesis, often known as the conjecture.
The number of transgendered people would be expected to disagree with such a platform being allowed to exist in our society under the null hypothesis is 19.00
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The mean of the numbers 5, 2x, 4 and 3 is 5. Find the value of x.
Answer:
(5 + 2x + 4 + 3)/4 = 5
(12 + 2x)/4 = 5
3 + 1/2x = 5 (multiply by 2
6 + x = 10
x = 4
The numbers are 5, 8, 4 and 3.
Step-by-step explanation:
heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ -{ elyna s }-The equation − 2 x + 3 = 6 − 2 x has no solution. Which step would change the given equation so that it has infinitely many solutions? A. adding 3 to the left side of the equation B. adding 6 to the left side of the equation C. subtracting 3 from the left side of the equation D. subtracting 6 from the left side of the equation
Respond these question please
The percentile rank of the score 71 on the test is 26.7.
What is a percentile?The value that a specific percentage falls under is known as the percentile. Ben, for instance, is the fourth-tallest child in a group of 20, and eighty percent of the kids are shorter than you.
Given:
58, 64, 66, 70, 71, 75, 77, 80, 84, 85, 87, 90, 93, 95, 96
Calculate the percentile of score 71 as shown below,
[tex]Percentile = n / N \times 100[/tex]
Here, n is the number of scores below 71 and N is the total number of scores,
Percentile = 4 / 15 × 100
Percentile = 0.267 × 100
Percentile = 26.7 percentile
Therefore, the percentile rank of the score 71 on the test is 26.7
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What value of x is in the solution set of the inequality –2(3x 2) > –8x 6? –6 –5 5 6
The value of x in the solution set of the inequality -2(3x + 2) > -8x + 6 is 6.
Inequality is defined as relationship between non-equal numbers or expressions. The solution set of an inequality is the set of values that satisfies the given inequality.
To determine the solution set of the given inequality, isolate the variable to one side and simplify.
-2(3x + 2) > -8x + 6
-6x - 4 > -8x + 6
8x - 6x > 6 + 4
2x > 10
x > 5
x = (5, +∞)
Hence, the solution set of the given inequality is the set of numbers greater than 5. Among the given choices, only 6 is greater than 5. Therefore, the value of x is 6.
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Answer:
6
Step-by-step explanation:
edge on
What value of x is in the solution set of the inequality –2(3x + 2) > –8x + 6?
6
15. Graph the inequality y> |x + 1|-1. Which point is NOT part of the solution?
O
O
O
O
(-1,2)
(1,3)
(-1,0)
(1,-1)
The solution for the inequality y > |x + 1| - 1 is -x - 2 > y > x and the coordinate (1, -1) is not a part of the solution so, option D is correct. The graph is attached below.
What is inequality?An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. It is most frequently used to compare the sizes of two numbers on the number line.
Given:
y > |x + 1| - 1
Solve the inequality as shown below,
y + 1 > |x + 1|
y + 1 > -(x + 1) and y + 1 > x + 1
y + 1 < -x - 1 and y + 1 > x + 1
y < -x - 1 - 1 and y > x + 1 - 1
y < - x -2 and y > x + 0
y < -x - 2 and y > x
Thus, the solution is -x - 2 > y > x.
Plot the graph by putting the values of x and find y then join the points.
Put the values from the option to check,
From y > x option 4 is not part of the solution as -1 < 1.
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nine congruent circles are inscribed in a square with a side length of 126. if a point in the square is chosen at random, what is the probability that the point is not in a circle?
There is a 21.5% chance that a point in a square with nine congruent circles drawn there won't be within one if it is chosen at random.
It is given to us that :
Nine congruent circles are inscribed in a square
The square has a side length of 126
We have to find out the probability that the point is not in a circle, if a point in the square is chosen at random.
It is known that the square has a side length of 126.
=> Area of the square = [tex](Length)^{2}[/tex]
=> Area of the square = [tex]126^{2}[/tex]
=> Area of the square = 15876 ------ (1)
It is also known to us that nine congruent circles are inscribed in the square that has a side length of 126.
=> Diameter of each circle = 126/3
=> Diameter of each circle = 42
=> Radius of each circle = 21 ------ (2)
We know that the area of a circle is given as -
Area of circle = [tex]\pi r^{2}[/tex] ------ (3)
where,
r = radius of the circle
Substituting the value of r from equation (2) in equation (1), we have
Area of circle = [tex]\pi r^{2}[/tex]
=> Area of circle = [tex]\pi (21)^{2}[/tex]
=> Area of circle = 1385.44
=> Area of 9 circles = 12468.96 ----- (4)
Now, we can say that -
Area not in a circle = Area of square - Area of 9 circles
=> Area not in a circle = 15876 - 12468.96 [From equation (1) and (4)]
=> Area not in a circle = 3407.04 ------ (5)
We know that the probability of a outcome is given as -
Probability = Number of favorable outcomes/Total number of outcomes
So, the probability that the point is not in a circle can be calculated as -
Probability = Area not in a circle/Area of square
=> Probability = 3407.04/15876
=> Probability = 0.215
=> Probability = 21.5%
Thus, if there are nine congruent circles inscribed in a square and a point in the square is chosen at random, the probability that the point is not in a circle is 21.5%.
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Which statement describes the rate of change of the line?
Answer:
20$
Step-by-step explanation:
30 to 50 is 20, 50 to 70 is 20
express cos r as a fraction in simplest terms
Answer:
[tex]\frac{5}{13}[/tex]
Step-by-step explanation:
If you have studied trigonometry, you will know that [tex]cos(\theta )=\frac{adjacent}{hypotenuse}[/tex], where the adjacent is the side with both the right angle and the angle θ, and the hypotenuse is the diagonal side.
We know here that the hypotenuse is 26.
We know do not know that adjacent where both angle R and the right angle are, but we can find it using Pythagoras' Theorem, something else which you may have studied.
[tex]a^2=c^2-b^2\\a^2=26^2-24^2\\a^2=100\\a = \sqrt{100}=10[/tex]
We now know that the adjacent is equal to 10.
Therefore, we substitute them into the cos ratio, and simplify the fraction.
[tex]cos(R)=\frac{10}{26} =\frac{5}{13}[/tex]
Suppoe that 19% of people have a dog,24% of people have a cat , and 14% of people have both
19% of people have a dog,24% of people have a cat , and 14% percentage of people have both 62% of people have either a dog or a cat.
To find the percentage of people that have either a dog or a cat, we need to add the percentage of people that have a dog to the percentage of people that have a cat.
19% + 24% = 43%
Therefore, 62% of people have either a dog or a cat.
43% of people have either a dog or a cat, but do not have both. We can find this by subtracting the percentage of people that have both a dog and a cat from the total percentage.
43% - 14% = 29%
Therefore, 29% of people have a dog or a cat, but not both.
The complete question is:
Suppoe that 19% of people have a dog,24% of people have a cat , and 14% of people have both dog and cat.
What percentage of people have either a dog nor a cat?
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You are given the difference of the numbers of boys and girls in a class and the ratio of boys to girls. How many boys and girls are in class?
3 more boys; 5 for every 4
Answer:
By using the given ratio, we will see that there are 15 boys and 12 girls.
How we can find the number of boys and girls in the class?
The given information is:
There are 3 more boys.
There are 5 boys for every 4 girls.
Now, notice that in the ratio we have a difference of 1 boy, so if we want to have a difference of 3 boys, we must multiplicate it by 3, then we get:
3*15 boys for every 3*4 girls (remember that you can multiply both quantities on the ratio and it does not change).
15 boys for every 12 girls.
Now the difference is 3.
15 - 12 = 3
So we can conclude that there are 15 boys and 12 girls.
Step-by-step explanation:
if an athlete is tested in the back squat and is found to have a 1rm of 515 pounds (234 kg), approximately what weight should this athlete lift if he is performing ten repetitions per set?
This athlete should aim to lift approximately 70-80% of their 1RM for ten repetitions, which would be approximately 360-410 lbs (163-186 kg).
When determining the weight an athlete should lift for a given set of repetitions, it is important to consider the athlete's 1RM. 1RM stands for one-repetition maximum and is the most weight an athlete can lift for one repetition. Generally, when lifting for a set of repetitions, athletes should aim to lift 70-80% of their 1RM. In this case, the athlete has a 1RM of 515 lbs (234 kg). If this athlete was performing ten repetitions per set, they should aim to lift approximately 360-410 lbs (163-186 kg). This is a good starting point for the athlete and can be adjusted as needed depending on how it feels.
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Lengths of pregnancies of women are normally distributed with a mean of 266 days and a standard deviation of 16 days.
What percentage to the nearest hundredth of children are born from pregnancies lasting more than 274 days?
What percentage to the nearest hundredth of children are born from pregnancies lasting less than 246 days?
The percentage of children are born from pregnancies lasting less than 274 days are 0.02.
The percentage of children are born from pregnancies lasting less than 246 days are 0.02.
What is normal distribution?
A continuous probability distribution for a real-valued random variable is called a normal distribution or a Gaussian distribution in statistics.
The normal distribution describes a symmetrical plot of data around its mean value, with the standard deviation serving as the determinant of the curve's width. The "bell curve" is used to visually represent it.
Given:
Lengths of pregnancies of women are normally distributed with a mean of 266 days and a standard deviation of 16 days.
⇒ μ = 266, σ = 16
Consider, the normal distribution formula
f(x) = (1 / σ√2π) e^(-1/2)(x - μ/ σ)^2
For x = 274,
f(274) = (1 / 16√2π) e^(-1/2)(274 - 266/16)^2
f(274) = 0.02
Hence, the percentage of children are born from pregnancies lasting less than 274 days are 0.02.
For x = 246
f(246) = (1/16√2π) e^(-1/2)(246 - 266/16)^2
f(246) = 0.02
Hence, the percentage of children are born from pregnancies lasting less than 246 days are 0.02.
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Help on this ez math table question
Answer:x=-3
Step-by-step explanation:
if you were to plug in -3 for f(x) you would get, f(-3)=1/3(-3) +2, which then equals f(-3)=-1+2, so f(-3)=1
Now you do the same thing for g(x), so you would get g(-3)=2^(-3+3), meaning you first add -3 and 3 leaving you with g(-3)=2^0, which is equal to 1.
f(-3)=1=g(-3)
1) Kathy is 12 years old and Ben is 16 years old. How many years ago was Ben three times as old as Kathy?
2) Find z if 1 4/11 of z is 45
3) Emma is 10 years old. She asked her father how old he is and he said, "When you are my age, I will be 70." How old is Emma's father?
4) Jame's dog Buddy is 2 years older than his cat Fluffy. Three years ago, Buddy was three times as old as Fluffy. How old are Buddy and Fluffy now?
5) The sum of x and y age is 60. In six years, y will be eight times as old as x will be. How old is x?
Which of the following statements is always true?
A. A linear paris formed by complementary angles.
B. If two angles are adjacent, then they are linear pair.
C. If two angles for a linear pair
, then their sum measures 1800
D. In a linear pair, one of the two angles is an acute angle and the other is an obtuse angle.
The true statement is that A. A linear pair is formed by complementary angles.
What is a linear pair?When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. These are also referred to as supplementary angles.
Complementary angles are those whose combined angle is exactly 90 degrees. For instance, p angles include 30 degrees and 60 degrees.
In conclusion, based on the information, the correct option is A.
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The coordinates of the vertices of quadrilateral ABCD are A(-5, 1), B(-2, 5), C(5, 3), and D(2, -1).
Drag and drop the choices into each box to correctly complete the sentences.
The slope of AB is!
Quadrilateral ABCD is
0
the slope of BC is
the slope of CD is!
because
¹0
and the slope of AD is!
The slope of AB is 4/3, the slope of BC is -2/7, the slope of CD is 4/3 and the slope of AD is -2/7. The Quadrilateral ABCD is a parallelogram because both pairs of opposite sides are parallel in a parallelogram.
The vertices of Quadrilateral ABCD are A(−5, 1) , B(−2, 5) , C(5, 3) , and D(2, −1) .
The slope between 2 points is:- m=(y2-y1) / (x2-x1)
The slope of AB :
m= (5-1) / (-2-(-5))
m= 4/3 ........................(1)
The slope of BC :
m= (3-5) / (5-(-2))
m= -2/7 ..........................(2)
The slope of CD :
m= (-1-3) / (2-5)
m= 4/3 ............................(3)
The slope of AD :
m= (-1-1) / (2-(-5))
m= -2/7 .............................(4)
Therefore,
The slope of AB is (1) 4/3, the slope of BC is (2) -2/7, the slope of CD is (3) 4/3, and the slope of AD is (4) -2/7.
Quadrilateral ABCD is a (5) parallelogram because (6) both pairs of opposite sides are parallel.
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Which graph represents the
function f(x)=4/x
Answer:
See Answer
Step-by-step explanation:
2.
What are the coordinates of the midpoint of the line
segment with endpoints (2,-5) and (8,3)?
1) (3,-4) 2) (3,-1) 3) (5,-4) 4) (5,-1)
Answer:
4) (5, -1)
Step-by-step explanation:
To find the midpoint, we must average the x coordinates to find the x-coordinate of the midpoint and average the y-coordinates to find the y-coordinate of the midpoint.
Thus, we do:
x-coordinate: [tex]\frac{2 + 8}{2}[/tex] = [tex]\frac{10}{2}[/tex] = [tex]5[/tex]
y-coordinate: [tex]\frac{-5 + 3}{2}[/tex] = [tex]\frac{-2}{2}[/tex] = [tex]-1[/tex]
This means the midpoint has an x-coordinate of 5 and a y-coordinate of -1. This can be expressed as the point (5, -1), which is option 4
Anyone Know f(-10)= 4.5,f(-2)=4.5??? Help ASAP
The linear function of f(-10)= 4.5,f(-2)=4.5 is y = 4.5.
How to represent linear function?Linear function can be represented in slope intercept form as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, the linear function of f(-10)= 4.5, f(-2)=4.5 can be represented as follows:
Using y = mx + b
4.5 = -10m + b
4.5 = -2m + b
b = 4.5 + 10m
Hence, using substitution,
4.5 = -2m + 4.5 + 10m
4.5 - 4.5 = 8m
m = 0
Let's find b
4.5 = -10(0) + b
b = 4.5
Therefore, the linear function is y = 4.5
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(4x)
(2x + 6)°
What is the value of x?
Answer:
8[tex]x^{2} \\[/tex] + 24x
Pls choose me as brainliest!
Find the lengths of the hypotenuses (x) of the triangle whose legs are given
1) 7cm,24cm
Answer:
The length of the hypotenuse is 25 cm.
Step-by-step explanation:
We can use the Pythagorean theorem to find the hypotenuse.
Pythagorean theorem states
[tex]a^2+b^2=c^2[/tex]
Where [tex]a[/tex] and [tex]b[/tex] are the legs or sides of the triangle.
The hypotenuse is [tex]c[/tex].
We can solve for [tex]c[/tex] by taking the square root of both sides of the equation.
[tex]c=\sqrt{a^2+b^2}[/tex]
We are given
[tex]a=7\\b=24[/tex]
Lets evaluate [tex]c.[/tex]
[tex]c=\sqrt{7^2+24^2}[/tex]
[tex]c=\sqrt{49+b^2}[/tex]
[tex]c=\sqrt{49+576}[/tex]
[tex]c=\sqrt{625}[/tex]
[tex]c=25[/tex]
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sam and taylor own and operate a car wash service. sam cleans the interior of each car and taylor cleans the exterior. the time it takes sam to finish the interior has a mean of 202020 minutes with a standard deviation of 6.46.46, point, 4 minutes. the time it takes taylor to finish the exterior has a mean of 181818 minutes with a standard deviation of 4.84.84, point, 8 minutes. both of their finishing times are approximately normally distributed. suppose we select a car at random, and define the random variable ddd as the difference between their finishing times. we can assume that their times are independent. find the probability that they finish within 101010 minutes of each other.
They have a 0.77 chance of finishing within 10 minutes of each other.
What is probability?The field of mathematics concerned with probability is known as probability theory. Although there are various distinct interpretations of probability, probability theory approaches the idea rigorously mathematically by articulating it through a set of axioms. The probability is a measure of the possibility that an event will occur. It assesses the event's certainty. P(E) = Number of Favourable Outcomes/Number of Total Outcomes is the probability formula.
Here,
mean of the difference between their times is the difference of the expected (or mean) times for each person,
=20-18
=2
standard deviation,
=√((6.4)²+(4.8)²)
=8
The probability,
=0.77
The probability that they finish within 10 minutes of each other is 0.77.
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The graph of f(x) = 7x is stretched vertically by a factor of five. Which of the following is the equation of the new graph, g(x)? A. g(x) = 5(7x) B. g(x) = 7(5x) C. g(x) = 5(7x) D. g(x) = 7(5x)
The solution is Option D.
The graph of the function after a vertical stretch of 5 is given by the equation g ( x ) = 5 ( 7ˣ )
How does the transformation of a function happen?
The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units: y=f(x+c) (same output, but c units earlier)
Right shift by c units: y=f(x-c)(same output, but c units late)
Vertical shift:
Up by d units: y = f(x) + d
Down by d units: y = f(x) - d
Stretching:
Vertical stretch by a factor k: y = k × f(x)
Horizontal stretch by a factor k: y = f(x/k)
Given data ,
Let the function be represented as A
Now , the value of A is
f ( x ) = 7ˣ
The function f ( x ) is stretched vertically by a factor of 5
Let the new function be represented as g ( x )
Stretching:
Vertical stretch by a factor k: y = k × f(x)
Horizontal stretch by a factor k: y = f(x/k)
So , the value of the function g ( x ) is given by the equation
g ( x ) = 5 ( f ( x ) )
g ( x ) = 5 ( 7ˣ )
Hence , the function is g ( x ) = 5 ( 7ˣ )
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the ages for a random sample of 30 employees at house mart resulted in the following descriptive statistics. the lower and upper limits for a 99% confidence interval would be approximately and ?
The lower and the upper limit for a 99% confidence interval would be approximately 37.51 and 50.03
Here,
Mean = 43.77
Standard deviation (s)= 12.43655
n= 30
So,
CI= mean ± t (s/√n)
= 43.77±2.756(12.43655/√30)
= 43.77±6.26
= 37.51,50.03
So, the lower and upper limit would be 37.51 and 50.03
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A family member has two and one fourth yds of ribbon, and you add three fifths yds to it. How much ribbon would you each get if you split the total amount in half?
fifty seven over forty
fifty seven over twenty
twenty seven over forty
forty seven over twenty
The required amount of the ribbon, when split into half, is 57 / 20. Option A is correct.
What is the fraction?Fraction is defined as the number of compositions that constitutes the Whole.
Here,
A family member has two and one-fourth yds of ribbon, and you add three-fifths yds to it,
So,
= 2 1/4 + 3 / 5
= 9 / 4 + 3 / 5
= 57 / 20
Now,
Half of the ribbon = [57 / 20] × [1/2] = 57 / 40
Thus, the required amount of the ribbon, when split into half, is 57 / 20. Option A is correct.
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find the area enclosed by the curve x = t2 − 3t, y = t and the y-axis.
The area under the curve is [tex]\frac{6 \sqrt{3}}{5}[/tex].
Consider the following parametric equations:[tex]$$x=t^2-3 t \text { and } y=\sqrt{t} \text { and the } y \text {-axis. }$$[/tex]
The objective is to find area enclosed by the curve using the formula.
The area under the curve is given by parametric equations x=f(t), y=g(t), and is traversed once as t increases from α to β, then the formula for calculating the area under the curve:
[tex]$$A=\int_\alpha^\beta g(t) f^{\prime}(t) d t$$[/tex]
The curve has intersects with y-axis. so x=0
[tex]$$\begin{aligned}t^2-3 t & =0 \\t(t-3) & =0 \\t & =0 \text { or } t=3\end{aligned}$$[/tex]
Now we have to draw the graph,
Let f(t)=[tex]t^2-3 t, g(t)=\sqrt{t}$[/tex]
Differentiate the curve f(t) with respect to t.
[tex]f^{\prime}(t)=2 t-3[/tex]
Now, find the area under the curve use the above formula.
[tex]\begin{aligned}A & =\int_0^3(\sqrt{t})(2 t-3) d t \\& =\int_0^3(2 t \sqrt{t}-3 \sqrt{t}) d t \\& =\int_0^3\left(2 t^{\frac{3}{2}}-3 t^{\frac{1}{2}}\right) d t \\& =\left[2 \frac{t^{\frac{5}{2}}}{\frac{5}{2}}-3 \frac{t^{\frac{3}{2}}}{\frac{3}{2}}\right]_0^3 \\& \left.\left.=\left[\frac{4 t^{\frac{5}{2}}}{5}-2 t^{\frac{3}{2}}\right]_0^3\right]^{\frac{5}{2}}\right] \\\\\end{aligned}$$[/tex]
[tex]& =\left[\frac{4(3)^{\frac{5}{2}}}{5}-2(3)^{\frac{3}{2}}\right]-\left[\frac{4(0)^{\frac{5}{2}}}{5}-2(0)^{\frac{3}{2}}\right][/tex]
[tex]$\begin{aligned}& =\left[\frac{4(3)^{\frac{5}{2}}}{5}-2(3)^{\frac{3}{2}}\right]-\left[\frac{4(0)^{\frac{5}{2}}}{5}-2(0)^{\frac{3}{2}}\right] \\& =\frac{4(3)^{\frac{5}{2}}}{5}-2(3)^{\frac{3}{2}}-0 \\& =\frac{6 \sqrt{3}}{5}\end{aligned}[/tex]
Therefore, the area of the curve is [tex]\frac{6 \sqrt{3}}{5}[/tex].
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5. A pound cake recipe calls for 3/4 cups of milk
and makes 4 1/2 servings. How many cups of milk
are needed for 16 servings?
8/3 or 2 2/3 cups of milk are needed for 16 servings.
What is the unitary method?
The unitary method is a technique for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.
A single or distinct unit is referred to by the word unitary. Therefore, the goal of this strategy is to establish values in reference to a single unit.
Given that 3/4 cups of milk needs to make 4 1/2 servings
Converting mixed fraction into improper fraction:
or, 3/4 cups of milk needs to make 9/2 servings.
To make 9/2 servings, needs 3/4 cups of milk
Applying unitary method:
To make 1 servings, needs (3/4)/(9/2) cups of milk.
To make 16 servings, needs [(3/4) × 16]/(9/2) cups of milk.
Simplify the numerical expression:
[(3/4) × 16]/(9/2)
= [3 × 4]/(9/2)
= [3 × 4 × 2] /9
= 8/3
Convert improper fraction into mixed fraction:
=(6 + 2)/3
= 6/3 + 2/3
= 2 2/3
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question 1: is the null hypothesis rejected or not rejected for an observed p-value of at 0.07 at a significance level of 0.05?
the null hypothesis is rejected for an observed p-value of at 0.07 at a significance level of 0.05.
At a significance level of 0.05, the p-value of 0.07 indicates that the observed value is not statistically significant. As a result, the null hypothesis cannot be disproven.In other words, the observed value is not strong enough to prove that the null hypothesis is false. Therefore, the null hypothesis is not rejected for an observed p-value of 0.07 at the significance level of 0.05.
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Which integer has a greater value? -2 or -5?
The integer has a greater value is -2
What is the integer with a greater value?An integer is a whole number (rather than a fraction) that can be positive, negative, or zero. Positive numbers, negative numbers, and zero are all examples of integers. 'Integers include both whole and negative numbers. This means that if we add negative numbers to whole numbers, we get a set of integers.
An integer is a number that has no decimal or fractional part and can be negative or positive, including zero. In this case, the numbers are -5 and -2. It should be noted that -2 is more than -5.
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4. building code does not permit building a house that is more than
35 feet tall. An architect working on the design shown at right would like
the roof to be sloped so that it rises 10 inches for each foot of horizontal
run.
(a) Given the other dimensions in the diagram, will the builder be allowed
to carry out his plan?
(b) Two vertical supports (shown dotted in the diagram) are to be placed
6 feet from the center of the building. How long should they be?
The builder will be able to execute his idea based on the other measurements in the illustration.
Explain about the inches?In the traditional system of measurement, one inch can be referred to as a unit of length. Inches of length are either denoted by in or by ". 5 inches, for instance, can be expressed as 16 inches or 16".
Initially, 1 inch was equal to the breadth of a man's thumb. In the 14th century, King Edward II of England decreed that 3 grains of barley laid end to end and lengthwise made up 1 inch.
Historically, there have been many different standards for what an inch is exactly, but since the international yard was adopted in the 1950s and 1960s, the inch has been based on the metric system and defined as precisely 25.4 mm.
Building codes prohibit the construction of homes that are taller than 35 feet.
The building is 22 feet tall in the diagram.
= 35 - 22
= 13 feet
so the builder is allowed to carry out is plan
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