The altitude exists 9.500 centimeters and the area exists 88.000 square centimeters is [tex]$ -\frac{9.26316}{4.75d}[/tex].
What is meant by the altitude of a triangle?A line segment passing through a triangle's vertex and running perpendicular to the line containing the base is the triangle's height in geometry. The extended base of the altitude is the name given to this line that contains the opposing side. The foot of the altitude exists the point at where the extended base and the height converge.
A triangle's altitude is determined by drawing a perpendicular line from its vertex to its opposite side. The altitude, sometimes referred to as the triangle's height, forms a right-angle triangle with the base.
Let A be the area of the triangle
h be the altitude
b be the base
The formula that relates the three is the area of a triangle
A = (1/2) bh
Note that anything listed as a "rate" is a derivative value.
dh (rate of change of altitude) = 3.000 cm/min
dA (rate of change of area) = 4 cm²/min
h = 9.500 cm
A = 88.000 cm²
Consider that both b and h are changing in this situation, so we have to treat them both as variables. This means we have to use the product rule, inserting the derivatives where applicable.
dA = (1/2) × db × h + (1/2)b × dh
substitute the values in the above equation, we get
4 = (1/2) × db × 9.5 + (1/2) b × 3.000
88 = (1/2) × b × 9.5
b = 18.52631
Now, looking back at our derivative
4 = (1/2) × db × 9.5 + (1/2) × 18.52631 × 3.000
simplifying the above equation, we get
4 = 4.75 db + 13.26316
b =[tex]$ -\frac{9.26316}{4.75d}[/tex]
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Pls pls helpp due today!
The perpendicular linear equation that passes through (8, 2) is:
y = x - 6
How to find the perpendicular line?A general linear equation is of the form:
y = m*x + b
Where m is the slope.
Two lines are perpendicular only if the product between the slopes is equal to -1.
Here we start with the line:
y = -x
So the slope is -1.
Then the slope of the perpendicular line m must be:
-1*m = -1
m = -1/-1 = 1
Then the perpendicular line is something like:
y = x + b
And we want this to pass through (8, 2), replacing these values we get:
2 = 8 + b
2 - 8 = b
-6 =b
The linear equation is:
y = x - 6
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-7/9y = -42 solve for y and simplify your answer as much as possible. please answer this
Answer:
y = 54
Step-by-step explanation:
a) Multiply both sides by 9/(-7).
(9/-7) * (-7/9 y) = (9/-7) * (-42)
y = 54
Please help me with this, i really need help
Answer:
See below, where we have used the definitions of vertical angles and complementary angles, and used the substitution property of equality.
Step-by-step explanation:
You want a proof that angles complementary to congruent angles are congruent. That is, ∠1 ≅ ∠4.
Statement . . . . Reason1. ∠1 and ∠3 are complementary . . . . given
2. ∠2 and ∠4 are complementary . . . . given
3. ∠2 ≅ ∠3 . . . . vertical angles are congruent
4. ∠1 +∠3 = 90° . . . . definition of complementary
5. ∠2 +∠4 = 90° . . . . definition of complementary
6. ∠1 +∠3 = ∠2 +∠4 . . . . substitution property of equality
7. ∠1 +∠2 = ∠2 +∠4 . . . . substitution property of equality
8. ∠1 = ∠4 . . . . subtraction property of equality
9. ∠1 ≅ ∠4 . . . . definition of angle congruence
__
Additional comment
The idea of congruence applies to the shape of the geometry. The idea of equality applies to the measures of the angles. Angles are congruent when they have the same measure.
thought provoking the postulates and theorems in this book represent euclidean geometry. in spherical geometry, all points are points on the surface of a sphere. a line is a circle on the sphere whose diameter is equal to the diameter of the sphere. explain how many right angles are formed by two perpendicular lines in spherical geometry.
Inequality involving the sum of the angles of a triangle i.e,
[tex]\alpha +\beta +y > \pi[/tex]
The area of a spherical triangle ABC with angles a, B, Y are
AABC = ([tex]\alpha[/tex] + [tex]\beta[/tex]+ Y- [tex]\pi[/tex] ) [tex]R^{2}[/tex]
The AA'B'C' = AABC (by sss) as we discuss move.
We just need to demonstrate that IACI = IAC' and C'L IBCI = 1BC '1 will proceed similarly.
since AC & ATC resulted in the same.
the middle.
We now have external proof that the surface and their mon- are real. As of (ABCA) and LA'B'C) cover. A overlapping sphere with appropriate angles for each letter of the alphabet Las offered my first figure of $ segments that are completely separate from one another, so we may write -
( AABC A ) + ( A A'B'C' )A + ( An -x ) + ( Ax-B ) + ( An-V ) = [tex]4\pi R^{2}[/tex]
2 ( A ABC A ) =[tex]4\pi R^{2}[/tex] - 2 ( [tex]\pi -\alpha[/tex] ) [tex]R^{2}[/tex]- 2 ( [tex]\pi -\beta[/tex])[tex]R^{2}[/tex]-2([tex]\pi -Y[/tex])[tex]R^{2}[/tex]
AABCA = [tex](\alpha +\beta +Y-\pi )R^{2}[/tex]
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in linear regression analysis the quantity that gives the amount by which the dependent variable changes for a unit change in the independent variable is called the
It is called the slope of the regression line.
The slope of the regression line including the intercept displays the linear relationship between 2 variables and can also be used in estimating an average change rate.
The slope of a regression line depicts the rate of change in the dependent variable as the independent variable alters because the dependent variable y is dependent on the independent variable x.
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8 times the quantity of X and 8 Translate it into expression
Given
8 times the quantity of X and 8
Find
Translate into an expression
Explanation
Quantity be X
so , according to the question ,
8 (X + 8)
Final Answer
Hence , the required expression is 8 (X + 8)
Question 12
I just want the answer :)
Given the information marked on each figure below, select all classifications that must be true.
Note that each figure is drawn like a rectangle, but you should not rely on the way the figure is drawn in determining your answers.
If necessary, you may learn what the markings on a figure indicate.
1. Quadrilateral.
The quadrilateral is not necessarily a parallelogram since the diagonals don't necessarily bisect each other.2. Rectangle.
The quadrilateral is a parallelogram because there is one pair of congruent and parallel sides.The parallelogram is a rectangle because there is one right angle.3. Parallelogram.
The quadrilateral is a parallelogram because there is one pair of congruent and parallel sides.HURRY PLS URGENT! HIGHLY APPRECIATE.
Answer:
b = 18
The mortar is 17 times ( 3 / 8 ) tall.
The brick height is equal to 18 times ( 2 + ( 1 / 4 ) ).
I don't know the options, so you have to use those values.
Step-by-step explanation:
DecipheringThe question uses imperial units which are generally bad.
12 inches = 1 feet;
The height of the wall should be written in inches for convenience.
4 feet = 4 * 12 inches;
4 feet = 48 inches;
The wall is short 1 + ( 1 / 8 ) inches short of 4 feet.
48 inches - ( 1 + ( 1 / 8 ) inches ) = 46 + ( 7 / 8 ) inches;
Now that the wall is done let's do the bricks. The height of the bricks is 2 + ( 1 / 4 ) inches and the mortar is ( 3 / 8 ) inches tall. The amount of mortar is the number of bricks - 1 because nobody puts extra mortar on the top of the wall.
Algebralet b;
46 + ( 7 / 8 ) = b( 2 + ( 1 / 4 ) ) + ( b - 1 )( 3 / 8 );
375 / 8 = b( 9 / 4 ) + ( 3 / 8 )b - ( 3 / 8 );
375 / 8 = ( ( 9 / 4 ) + ( 3 / 8 ) )b - ( 3 / 8 );
375 / 8 = ( ( 18 / 8 ) + ( 3 / 8 ) )b - ( 3 / 8 );
375 / 8 = ( 21 / 8 )b - ( 3 / 8 );
Multiply both sides by 8 to get rid of those annoying fractions.
375 = 21b - 3;
Add 3 to both sides.
378 = 21b;
Divide both sides by 21.
18 = b;
3. There are 104 males and 121 females
participating in a marathon. To the
nearest percent, what percent of the
participants are female?
There are 54% of the participants are female.
What is percent?A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.
%, which is a relative figure used to denote hundredths of any quantity. Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified. percentage
Given:
There are 104 males and 121 females
participating in a marathon.
So, the total number of participants are,
104 + 121 = 225.
There are 225 total number of participants.
So, the percent of the female are,
[tex]\frac{121}{225} (100) = 53.78[/tex]
Therefore, the percent of the participants of female are 54%.
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Using positive integers between 1 and 9 and each positive integer at most once, fill in values
to get two constraints so that x = 7 is the only integer that will satisfy both constraints at
the same time.
☐ x+☐ < ☐ x + ☐
☐x+ ☐ > ☐ x+ ☐
Using positive integers between 1 and 9 and each positive integer at most once,
2 x+ 9 < 3 x + 1
6x+ 4 > 5 x+ 8
To get two constraints so that x = 7 is the only integer that will satisfy both constraints at the same time. Upon analysing it can be seen that to the coefficients of x in eaxh equation shouch be two consecutive number. The coefficient on the lesser than side should be lower than the coeffiecient present on the greater than side.
To make the equation in such a way that only 7 satisfy it, the lesser than sides are added with numbers higher than 7 that is 8 and 9.
Therefore, Using positive integers between 1 and 9 and each positive integer at most once,
2 x+ 9 < 3 x + 1
6x+ 4 > 5 x+ 8
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May someone please help me?
Answer: [tex]x=-\frac{1}{2}, y=\frac{9}{2}[/tex]
Step-by-step explanation:
[tex]5x+7=7x+8\\\\2x=-1\\\\x=-\frac{1}{2}\\\\\implies y=5\left(-\frac{1}{2} \right)+7=\frac{9}{2}[/tex]
Answer:
y = 5x + 7 ---1
y = 7x + 8 ---2
Substitute either one of the equations into the other.
I will substitute 1 into 2.
5x + 7 = 7x + 8
Simplify and solve for x.
2x = -1
x = -1/2
Substitute x into either one of the equations to find y.
I will substitute x into 1.
y = 5(-1/2) + 7
= 9/2
Hence, x = -1/2, y = 9/2
Are null and alternative hypotheses statements about samples, about populations, or does it depend on the situation? explain.
The null and alternative are always claims about the population. That's because the goal of hypothesis testing is to make inferences about a population based on a sample.
Null hypothesis testing is a formal approach to deciding whether a statistical relationship in a sample reflects a real relationship in the population or is just due to chance.
The shaded portion in each glass represents an amount of grape drink Martin's glass of grape drink has a weaker tasting grape flavor than Tia's glass of grape drink.
The stronger flavor of grape is in Tia's glass.
Given,
Martin's glass of grape drink has weaker tasting grape flavor
Tia's glass of grape drink has stronger tasting grape flavor
3 ounces of water is added to Martin's glass
One table spoon of grape mix is added to Tia's glass
We have to find the glass which contain the stronger grape flavor
Already in Martin's glass flavor is low. When we add water again to his glass, the flavor will again dissolves with water.
In Tia's glass grape flavor is stronger. By adding one tablespoon of grape mix the flavor will become more stronger.
That is,
The stronger flavor of grape is in Tia's glass.
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May I please get help with this. I have tried multiple times to get the correct answer for this but still could not seem to get the right one.
Answer:
42
Explanation:
Recall that two triangles are said to be similar if their corresponding angles are congruent and their corresponding sides are in equal proportion.
Given that triangles ABC and XYZ are similar, to be able to determine missing side length, we have to set up proportions as seen below;
[tex]\begin{gathered} \frac{AB}{XY}=\frac{AC}{XZ} \\ \frac{30}{5}=\frac{AC}{7} \end{gathered}[/tex]Let's cross multiply;
[tex]\begin{gathered} 5\cdot AC=30\cdot7 \\ 5AC=210 \end{gathered}[/tex]Let's divide both sides of the equation by 5;
[tex]\begin{gathered} \frac{5AC}{5}=\frac{210}{5} \\ AC=42 \end{gathered}[/tex]So the missing side length is 42
A web music store offers two versions of a popular song. The size of the standard version is 2.1 megabytes (MB). The size of the high quality version is 4.7 MB. Yesterday, the high quality version was downloaded twice as often as the standard version. The total size downloaded for the two versions was 3335 MB. How many downloads of the standard version were there?Number of standard version downloads: ?
Answer: 529.3 downloads
Explanation:
Standard version size = 2.1 MB
High quality version = 4.7 MB
The high-quality version was downloaded twice as often as the standard version
H = 2 S
The total size downloaded for the two versions = 3335 MB
H + S = 3335
We have the system:
H = 2 S (a)
H + S = 3335 (b)
Put A into B
(2S ) + S = 3335
3S = 3335
S= 3335/3
S= 1,111.67 MB
Divide the total MB of standard versions by the size of each standard version.
1,111.67 / 2.1 = 529.3 downloads
professor horvat designs a study to assess the work satisfaction and home-life satisfaction of a group of graduate students. she administers the same measures of work and home-life satisfaction on two occasions, 1 year apart. she finds at both the first time point and the second time point there is a strong correlation between work satisfaction and home-life satisfaction. which type of correlations are these?
The type of correlation founded in the study by assessing the work and home life satisfaction measure identically at two occasions, a year apart, is a cross-sectional correlation.
Cross-sectional correlation is a non-experimental research design that uses data collected from a single time point. It is used to generate a static portrait of research variables. As opposed to serial correlation which is a correlation of one variable at different times, cross- sectional correlation is a correlation of two variables at the same time.
In the given study, professor measured the work satisfaction and home-life satisfaction at one time point and repeated it after a year at the second time point. She found a strong correlation between variable at both time points. Hence, it is cross-sectional correlation.
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Last winter it snowed 5 inches in December 17 inches in January 13 inches in February and 2 inches in March how much snow fell during the entire winter 
37 inches total, but 35 with just December, January, and February (depending on the definition of winter)
6V
6V
I
I₁
R₁ =
6Ω
IT
B₁
1₂
R₂
352
B₂
Series or parallel?
m
VT=
V Branches
1₁ =
1₂=
IT =
RT =
P =
Answer:
12
Step-by-step explanation:
2
The graph of a linear function is shown
below. What is the domain of the
function?
Answer:
G
Step-by-step explanation:
the domain is the interval or set of all valid x values.
we see x starts at -3 and goes up to +1.
but x = 1 has the be excluded (the hollow point tells us that, a filled point says "include").
therefore, the -3 <= x < 1 answer is correct
Use the graph below to enter a single translation rule. Complete the rule that describes the translation, 819 (x,y) - (Type an ordered pair.)
Answer:
The translation rule is;
[tex](x,y)\rightarrow(x+2,y+5)[/tex]Explanation:
Given the graph attached;
Let us pick a corresponding edge(point) on the preimage and image respectively;
[tex]\begin{gathered} \text{Preimage}=(0,1) \\ \text{image}=(2,6) \end{gathered}[/tex]The change on the x and y axis is;
[tex]\begin{gathered} \text{ x axis}=2-0=+2 \\ \text{ y axis=6-1 =+5} \end{gathered}[/tex]Therefore, the translation rule is;
[tex](x,y)\rightarrow(x+2,y+5)[/tex]you want to rearrange the furniture in your room. you use a coordinate plane to plan your changes. the vertices of the dresser are given below. Give the coordinates of the dresser after rotating the dresser 180* about the origin, translating 2 units left and 3 units up.
A(-1,-1), B(2,-1), C(2,1), D(-1,1) HELP ASAP!!! I NEED IT RIGHT NOW PLEASE ANYONE!!!
The coordinates of the dresser
i.e A(-1,-1), B(2,-1), C(2,1), D(-1,1)
after rotating the dresser 180 degrees about the origin, translating 2 units left and 3 units up becomes
A(3, 2), B(0, 2), C(0,0), D(3, 0)
What is translation?It is the movement of the shape in the left, right, up, and down directions.
The translated shape will have the same shape and shape.
There is a positive value when translated to the right and up.
There is a negative value when translated to the left and down.
We have,
The coordinates of the vertices of the dresser.
A(-1,-1), B(2,-1), C(2,1), D(-1,1).
Now,
Rotating 180 degrees the coordinates become,
A(2, 1), B(-1, 1), C(-1, -1), D(2, -1)
Translating 2 units left.
The coordinates become:
A(2-2, 1-2), B(-1-2, 1-2), C(-1-2, -1-2), D(2-2, -1-2)
A(0, -1), B(-3, -1), C(-3, -3), D(0, -3)
Translating 3 units up.
The coordinates become:
A(0+3, -1+3), B(-3+3, -1+3), C(-3+3, -3+3), D(0+3, -3+3)
A(3, 2), B(0, 2), C(0,0), D(3, 0)
Thus,
The coordinates of the dresser
i.e A(-1,-1), B(2,-1), C(2,1), D(-1,1)
after rotating the dresser 180 degrees about the origin, translating 2 units left and 3 units up becomes
A(3, 2), B(0, 2), C(0,0), D(3, 0)
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Select the correct answer.
Which of the following represents a function?
B. {(0,1), (3,2), (-8,3), (-7,2), (3,4)}
C. x -5 -1 9 8 -1
y 1 7 23 17 1
The relation which represents a function is the mapping diagram.
What is a function?A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables. This ultimately implies that, a function is typically used for mapping an input variable (x-value) to an output variable (y-value).
In this scenario, the same x-value of the given ordered pairs (3, 2) and (3, 4) have the different output variable (y-value) and as such does not represent a function. Similarly, the table of values has the same x-value (-1) which outputs different numerical values.
Based on the ordered pairs and table shown above, we can reasonably and logically deduce that it is only the mapping diagram that represents a function.
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Hi can i get help with this precal question please
Using a piecewise function, it is found that:
a. The rule is:
C(w) = 0.75w, 0 ≤ w ≤ 50.C(w) = 0.35w + 10, 51 ≤ w ≤ 75.C(w) = 0.2w + 7, w > 75.b. C(75) = 36.25.
c. C(100) = 27.
d. A practical domain for the function is integer values of w ≥ 0
e. A practical range the function is C(w) ≥ 0.
What is a piecewise-defined function?A piecewise-defined function is a function that has different definitions, depending on the input of the function.
For 0 to 50 wristbands, which is the first definition of the function, the cost is of $0.75 per each wristband, hence the definition is:
C(w) = 0.75w, 0 ≤ w ≤ 50.
From 51 to 75 wristbands, which is the second defition of the function, the cost is of $0.35 per each wristband plus the $10 shipping fee, hence:
C(w) = 0.35w + 10, 51 ≤ w ≤ 75.
For more than 75 wristbands, which is the third definition of the function, the cost is of $0.2 per wristband plus the $7 shipping fee, hence:
C(w) = 0.2w + 7, w > 75.
The numeric values are as follows:
C(75) = 0.35 x 75 + 10 = 36.25.C(100) = 0.2(100) + 7 = 27.The domain and the range of the function are as follows:
Domain -> input values -> number of wristbands, which is a countable amount, hence integer numbers of 0 or greater.Range -> Output values -> cost of purchasing w wristbands, real values greater than 0.More can be learned about piecewise functions at https://brainly.com/question/19358926
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15:4y2 – 30:23 + 4554The quotient of517is7. When this quotient is divided bythe result is 3-35-5I3y – 25y2 + 3
We are given the following expression:
[tex]\frac{15x^4y^2-30x^2y^3+45xy}{5xy}[/tex]To determine the quotient of the expression we will factor the numerator. To do that we take the Greatest Common Multiple of the denominator.
The denominator is the following expression:
[tex]15x^4y^2-30x^2y^3+45xy[/tex]To get the greatest common multiple we need to determine the multiples of the coefficients first.
For 15 we have:
[tex]factors\text{ 15= 1, 3, 5, 15}[/tex]For 30 we have:
[tex]\text{factors 30 = }1,2,3,5,6,10,15,30[/tex]For 45 we have:
[tex]\text{factors 45 =}1,3,5,9,15,45[/tex]We notice that the factors that are repeated for each of the numbers are:
[tex]\text{repeated = 1,3,5,15}[/tex]The greatest of the repeated factors is 15, therefore, the greatest common factor is 15.
Now, we take the variables that are repeated in the expression and we take the ones with smaller exponents. The variables repeated are:
[tex]xy[/tex]Of these, the ones with smaller exponents are:
[tex]xy[/tex]Now, combining the two parts we get that the greatest common factor of the denominator is:
[tex]15xy[/tex]We take out that factor and re arrange the expression, like this:
[tex]\frac{15x^4y^2-30x^2y^3+45xy}{5xy}=\frac{15xy(x^3y-2xy^2+3)}{5xy}[/tex]Now, we cancel out the "xy" and simplify 15/5:
[tex]\frac{15xy(x^3y-2xy^2+3)}{5xy}=3(x^3y-2xy^2+3)[/tex]And thus we get the quotient.
We notice that the quotient is multiplied by 3, therefore, if we divide by 3:
[tex]\frac{3(x^3y-2xy^2+3)}{3}[/tex]We can cancel out the 3 and we get:
[tex]\frac{3(x^3y-2xy^2+3)}{3}=x^3y-2xy^2+3[/tex]Therefore, the quotient is divided by 3.
PLEASE HELP ASAP!!!!
The quadratic function f(x) has roots of −4 and 2 and point (1, −5) lies on f(x). What is the equation of f(x)?
f(x) = (x − 2)(x + 4)
f(x) = (x − 2)(x − 4)
f(x) = 4(x − 2)(x + 4)
f(x) = 4(x − 2)(x − 4)
The equation of the quadratic function f(x) is f(x) = (x + 4)(x - 2)
How to determine the equation of f(x)?From the question, we have the following parameters:
Roots = -4 and 2
Point = (1, -5)
Rewrite the given parameters as
Roots: x = -4 and x = 2
Point: (x, y) = (1, -5)
Recall that:
x = -4 and x = 2
This gives
x + 4 = 0 and x - 2 = 0
Multiply the equations
So, we have
y = a(x + 4)(x - 2)
When (x, y) = (1, -5), we have
-5 = a(1 + 4)(1 - 2)
This gives
a = 1
Substitute a = 1 in y = a(x + 4)(x - 2)
y = (x + 4)(x - 2)
Hence, the equation of f(x) = (x + 4)(x - 2)
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Answer:
f(x) = (x − 2)(x + 4)
Hope this helps you
What is the area of a triangle whose vertices are D(1, 1), E(3, −1), and F(4, 4)
6 square units is area of a triangle whose vertices are D(1, 1), E(3, −1), and F(4, 4)
What is triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
The given three vertices are D(1, 1), E(3, −1), and F(4, 4)
we need to find the area of triangle
Area of triangle=1/2|x₁(y₂-y₃)+x₂(y₃-y₁)+x₃(y₁-y₂)|
x₁=1, x₂=3, x₃=4, y₁=1, y₂=-1, y₃=4
put in the formula
Area of triangle=1/2|1(-1-4)+3(4-1)+4(1-(-1))|
=1/2|-5+9+8)|
=1/2 |12|
=6 square units.
Hence 6 square units is area of a triangle whose vertices are D(1, 1), E(3, −1), and F(4, 4)
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suppose a large shipment of televisions contained 9% defectives. if a sample of size 393 is selected, what is the probability that the sample proportion will differ from the population proportion by less than 3%? round your answer to four decimal places.
The probability that the sample percentage will deviate from the population proportion by less than 3% is 0.9624, or 96.24%.
We must comprehend the central limit theorem and the normal probability distribution in order to answer this query.
Distribution of Normal Probabilities
The z-score formula can be used to address problems with normal distributions.
The z-score of a measure X in a set with mean and standard deviation can be calculated as follows:
The Z-score calculates how far a measure deviates from the mean by standard deviation. We look at the p-value linked with this Z-score after determining the Z-score by consulting the z-score table. This p-value represents the probability that the measure's value is less than X, or the percentile of X. 1 is subtracted from the p-value, giving us the likelihood that the value of the metric exceeds X.
Imagine that 9% of a huge shipment of televisions were defective.
As a result, the sample size has a p value of 0.09
As a result, n=393
Standard deviation and the mean
u=p= 0.09
s= sqrt(p(1-p)/n)
s=sqrt(0.09*0.91/393)= 0.0144
What is the likelihood that the sample percentage and population proportion will deviate by less than 3%?
The ratio of 0.09 - 0.03 = 0.06 to 0.09 + 0.03 = 0.12 is the result of subtracting the p-value of Z when X = 0.12 from the p-value of Z when X = 0.06.
X = 0.12
By the Central Limit Theorem
Z= x-u/s
Z=2.08 has a p-value of 0.9812
X = 0.06
Z= x-u/s
Z=-2.08 has a p-value of 0.0188
0.9812 - 0.0188 = 0.9624
Therefore, The probability that the sample proportion and population proportion will deviate by less than 3% is 0.9624, or 96.24%.
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Answer:
Step-by-step explanation:
The probability that the sample percentage will deviate from the population proportion by less than 3% is 0.9624.
Distribution of Normal Probabilities
The z-score formula can be used to address problems with normal distributions.
The z-score of a measure X in a set with mean and standard deviation can be calculated as follows:
The Z-score calculates how far a measure deviates from the mean by standard deviation. We look at the p- value linked with this Z-score after determining the Z-score by consulting the z-score table. This p-value represents the probability that the measure's value is less than X, or the percentile of X. 1 is subtracted from the p-value, giving us the likelihood that the value of the metric exceeds X.
Imagine that 9% of a huge shipment of televisions were defective.
As a result, the sample size has a p value of 0.09
As a result, n=393
Standard deviation and the mean u=p=0.09 s= sqrt(p(1-p)/n)
s=sqrt(0.09*0.91/393)=0.0144
The ratio of 0.09 -0.03=0.06 to 0.09 + 0.03 =0.12 is the result of subtracting the p-value of Z when X = 0.12 from the p- value of Z when X = 0.06.
X = 0.12
By the Central Limit Theorem
Z=x-u/s
Z-2.08 has a p-value of 0.9812
X = 0.06
Z=x-u/s
Z=-2.08 has a p-value of 0.0188
0.9812 -0.0188=0.9624
Therefore, The probability that the sample proportion and population proportion will deviate by less than 3% is 0.9624, or 96.24%.
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Sally can paint a room in 4 hours while it takes Steve 3 hours to paint the same room. How long would it take them to paint the room if they worked together?
Can Some one help PLEASEE
The variable x is 9 and the two adjacent angles have measures of 117° and 63°, respectively.
How to find the variable associated to the measure of two angles in a parallelogram
Parallelograms are quadrilaterals with two pairs of parallel sides of equal length. According to Euclidean geometry, the measures of two adjacent angles in a parallelogram are supplementary. Thus,
13 · x + 7 · x = 180°
Now we clear the variable x:
20 · x = 180°
x = 9
And the missing angles are:
13 · 9 = 117°
7 · 9 = 63°
The value of the variable x is 9 and the measures of the two adjacent angles are 117° and 63°, respectively.
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Yuri bought a new house. The diagram shows the layout of his backyard. Yuri is designing improvements that he wants to make. Yuri plans to fill the patio with concrete, the garden with a special soil mixture, and the remaining areas that surround the hot tub with a wood deck. The table shows the costs associated with each project. How much more will Yuri spend on concrete than on soil and wood? Explain. Click here to view the diagram of Yuri's backyard. Click here to view the table of materials. The area of the patio is yd?, so the cost of concrete is $ The area of the garden is yd?, so the cost of soil is $ The total area of the deck is ft?, so the cost of wood is $1. So, Yuri will spend $ more on concrete than on soil and wood. (Type integers or decimals.) Enter your answer in the edit fields and then click Check Answer. All parts showing
1) Area of patio = 1/2 base x height
Height = 3.1ft
base = 7 + 10 =17 ft
Area = 1/2 x 3.1 x 17
Area of patio = 26.35 square ft
1 yard = 3 ft
1 square yard = 9 square ft
so the area of the patio in yard is
26.35/9 = 2.927777778 square yard
2) Cost of concrete = $10/square yard poured 1/9 yard deep+ $60 delivery fee
for 2.9277777778 square yard it will cost 1/9($10 x 2.9277777778) + $60 =$
3)
