The standard deviation of the sampling distribution of a sample proportion using the formula σ^p=√p(1−p)N σ p ^ = p ( 1 − p ) N. The standard deviation of the sampling distribution of a sample proportion is about 0.054.
In information, the standard deviation is a degree of the quantity of variation or dispersion of a fixed of values. A low standard deviation indicates that the values tend to be near the implied (additionally called the predicted price) of the set, whilst an excessive preferred deviation suggests that the values are spread out over a wider variety.
Popular deviation can be abbreviated SD, and is maximum commonly represented in mathematical texts and equations by means of the decrease case Greek letter σ (sigma), for the population standard deviation, or the Latin letter s, for the sample general deviation.
The standard deviation of a random variable, pattern, statistical population, statistics set, or possibility distribution is the square root of its variance. it's miles algebraically easier, even though in exercise less sturdy, than the common absolute deviation.
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Use the equation below to find V, if i=6, w=7 , and h=2 V=iwh
Answer:
84
Step-by-step explanation:
V = IWH
V = (6)(7)(2)
[84]
Determine how (if possible) the triangles can be proved similar.
A) AA~
B) SSS~
C) SAS~
D) Not similar
the triangles can be proved similar by AA congruence.
What is congruent of the triangle?
The shapes maintain their equality regardless of how they are turned, flipped, or rotated before being cut out and stacked. We'll see that they'll be placed entirely on top of one another and will superimpose one another. Due to their identical radius and ability to be positioned directly on top of one another, the following circles are considered to be congruent.
Any two figures can be perfectly positioned over one another to demonstrate their congruence. The relationship between two figures that are said to be congruent is described using the word "congruence."
As both the triangles are right angle so the left side triangle the angles are 90, 54 and 38.
Similarly for the right-sided triangle again the angles are 90, 54 and 38.
Hence the triangles can be proved similar by AA congruence.
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Answer:
AA
Step-by-step explanation:
yes
Charlie and Hayden are standing outside. Charlie is 64 inches tall and casts a shadow of 30 inches. If Hayden is 68 inches tall, approximately how long is his shadow? 28 inches 32 inches 145 inches 31 inches
The length of the shadow of Hayden is approximately 32 inches.
How to find the length of Hayden shadow?Charlie and Hayden are standing outside. Charlie is 64 inches tall and casts a shadow of 30 inches.
Hayden is 68 inches tall. The length of the shadow of Hayden can be calculated as follows:
Using proportion,
64 / 30 = 68 / x
where
x = length of the shadow of Hayden
Therefore,
64 / 30 = 68 / x
cross multiply
64x = 68 × 30
64x = 2040
divide both sides by 64
x = 2040 / 64
x = 31.875
Hence,
Length of the shadow of Hayden = 32 inches
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Determine whether the next pair of triangles is similar. If the triangles are similar, give a reason: write AA, SSS, or SAS.
The two triangles in this problem are similar, and the reason for their similarity is given as follows: AA.
What are similar triangles?Similar triangles are triangle that share these following two features:
Congruent angle measures.Proportional side lengths.The two right triangles in this problem are similar, as they have two common angle measures, given as follows:
The right angle.The angle at the bottom left of the image.As the angles have two common angle measures, the reason is given as follows:
AA.
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On March 8, 2017, one U.S. dollar was worth 19.61 Mexican pesos.
(a) On that date, how many dollars was 150.68 pesos worth? Round your answer to the nearest hundredth of a dollar. dollars
(b) On that date, how many pesos was 98.27 dollars worth? >Round your answer to the nearest hundredth of a peso. 0 pesos
Answer:
(a) 7.68 dollars
(b) 1927.07 pesos
Step-by-step explanation:
Setting up a conversion factor will be helpful in helping us solve this problem. A conversion factor shows the relationship between two different units, and and is used to convert from one unit to the other.
Our conversion factor is 1 U.S. Dollar = 19.61 Mexican pesos. To convert units, we can turn the conversion factor into a ratio (U.S. dollar ÷ 19.61 Mexican pesos or vice versa) and then multiply the given amount by the ratio. The unit that we want to end up with should always be in the numerator, and the unit we want to convert from should always cancel out in the denominator. This will be demonstrated when we solve the problems below:
(a) We want to convert from pesos to dollars, so we will multiply by the conversion factor (1 dollar / 19.61 pesos).
150.68 pesos (1 dollar / 19.61 pesos) = 7.68 dollars(b) Now we want to convert from dollars to pesos, so we will multiply by the conversion factor (19.61 pesos / 1 dollar).
98.27 dollars (19.61 pesos / 1 dollar) = 1927.07 pesosI will give brainiliest help!
-9+10^2-[-55/11]x(-6)
The choices are -29, -51, 31, or 121.
I thought it was 61.
Answer:
I thought it was 61 too but I guess it's 121
Step-by-step explanation:
-9 + 10^2 - [-55/11] x (-6)
( - [-55/11] x (-6) ) do this first so [55/11] x (6)
then its -9 + 10^2 + [55/11] x (6)
-9 + 100 + [5] x (6)
91 + 30
121
R = 2 + 4sin(theta)
Domain is [0,2pi)
a. Write the integral to determine the area enclosed by the inner loop. Show your work that leads to the integral.
b. Write the integral to find the area between the loops
a. The integral to determine the area enclosed by the inner loop is:
A = ∫0^2π2+4sin(θ)dθ
This integral can be solved using the substitution u = 4sin(θ). This will give us the following integral:
A = ∫0^2π2 + udu
Next, we apply the power rule to the integral and solve for A.
A = 2θ + (u^2)/2 | 0^2π
A = 2θ + (4sin(θ)^2)/2 | 0^2π
A = 2π + 4[1 - cos(2θ)]/2 | 0^2π
A = 2π + 2 - cos(2π)
A = 4π - 1
b. To find the area between the loops, we can use the following integral:
A = ∫2^4π2+4sin(θ)dθ
Using the same substitution, we have:
A = ∫2^4π2 + udu
A = 2θ + (u^2)/2 | 2^4π
A = 2θ + (4sin(θ)^2)/2 | 2^4π
A = 2π + 4[1 - cos(2θ)]/2 | 2^4π
A = 2π + 2 - cos(4π)
A = 4π + 1
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Which jam recipe has more strawberry flavor?
Recipe A
3 cups strawberries
1/2 cup sugar
Recipe B
5 cups strawberries
1 cup sugar Help please
The jam recipe that has more strawberry flavor is Recipe A.
Which recipe has more strawberry flavor?In order to determine which recipe has more strawberry flavor, determine how many cups of strawberry is needed for one cup of sugar. In order to do this, divide the cups of strawberry by the cups of sugar.
Cups of strawberry needed for one cup of sugar = cups of strawberry / cups of sugar
Cups of strawberry needed for one cup of sugar in recipe A = 3 ÷ 1/2
3 x 2 = 6
Cups of strawberry needed for one cup of sugar in recipe B = 5 ÷ 1 = 5
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What is 15x+48=120 what is the x value
So the value of x is 4.8
15x + 48= 120
Now we send the 48 on the right side.
15x= 120-48.
Here we subtract 48 from 120 we get
15x= 72
In the next step we divide the both sides with 15
15x/15= 72/15
x=4.8
So the value of x is 4.8
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Find the perimeter or area of the figure a indicated. 5) Find the perimeter. (5x 7) meter × meter 9x meter (9x - 10) meter 8x meter 7 meter
The Area of the rectangle is (40x²+ 49x + 15)cm²
The area of a rectangle in geometry is the region covered by the rectangle in a two-dimensional plane. The area of the rectangle is the region occupied by a rectangle within its four sides or boundaries.
A rectangle is a sort of quadrilateral, a two-dimensional object with four sides and four vertices. The rectangle's four angles are all right angles or equal to 90 degrees. The rectangle's opposite sides are equal and parallel to one other.
Given that,
Length of rectangle=(8x+5)cm
Breadth of rectangle=(5x+3)cm
Area of rectangle=Length×Breadth
Area of rectangle=(8x+5)(5x+3) = (40x²+ 49x + 15)cm²
Therefore, the Area of the rectangle is (40x²+ 49x + 15)cm²
Correct question: A rectangle is (8x+5)cm long and (5x+3)cm broad.
Find its area or perimeter.
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Is a 100 degree angle a right angle?.
No, A right angle is equal to 90 degrees.
In geometry and trigonometry, a right attitude is an angle of precisely ninety stages radians similar to 1 / a 4 turn. If a ray is placed in order that its endpoint is on a line and the adjacent angles are equal, then they may be right angles. The time period is a calque of Latin angulus rectus; here rectus manner "upright", regarding the vertical perpendicular to a horizontal baseline.
Closely related and crucial geometrical concepts are perpendicular strains, which means lines that form right angles at their factor of intersection, and orthogonality, which is the assets of forming right angles, usually implemented to vectors. The presence of a proper angle in a triangle is the defining factor for right triangles, making the proper perspective basic to trigonometry.
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How do you solve log2 value?.
The value of log 2 to the base 10 is 0.3010.
[tex]log_1_02[/tex] = 0.3010.
Now, According to the question:
The value of log 2, to the base 10, is 0.301. The log function or logarithm function is used in most mathematical problems that hold the exponential functions. Log functions are used to eliminate the exponential functions when the equation includes exponential values.
The logarithmic function is defined by:
if [tex]log_ab[/tex]= x, then [tex]a^x[/tex] = b.
Where,
x is the logarithm of a number ‘b.’
‘a’ is the base of the log function.
Now,
Let us discuss how to find the value of log 2 using a common log function and natural log function.
Value of [tex]log_1_02[/tex]
The log function of 2 to the base 10 is denoted by “ [tex]log_1_02[/tex]”.
According to the definition of the logarithmic function,
Base, a = 10 and [tex]10^x[/tex]= b
With the use of logarithm table, the value of log 2 to the base 10 is given by 0.3010.
[tex]log_1_02[/tex] = 0.3010
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The length of a rectangular prism is 2 more than three times the width w. The volume of the prism is 3w^3+14w^2+8w.[tex]3w^{3} +14w^{2} +8w[/tex] What is a simplified expression for the height of the prism?
The volume of a rectangular prism is given by the product of its length, width, and height, which is V = l * w * h, where l is the length, w is the width, and h is the height.
We are given that the volume of the prism is 3w^3 + 14w^2 + 8w. We can use this information to find the height of the prism by dividing the volume by the product of the length and width.
We know that the length of the prism is 2 more than three times the width (l = 3w + 2). Therefore, the product of the length and width is l*w = (3w + 2) * w = 3w^2 + 2w
Now we can divide the volume by the product of the length and width to find the height of the prism:
V / (l * w) = (3w^3 + 14w^2 + 8w) / (3w^2 + 2w) = 3w + 14 + 8/3w^2 + 2w
So, the height of the prism is 3w + 14 + 8/3w^2 + 2w
Which is a simplified expression for the height of the prism, in terms of the width.
Consider this expression.
| m^2 - 7 | + n^2
When m = -2 and n = 5, the value of the expression is ___.
Type the correct answer in the box (aka the empty spot). Use numerals instead of words.
The value of the expression as given in the task content is; 28.
What is the value of the given expression?It follows from the task content that the value of the expression is to be determined given the parameters for m and n.
Since the given expression is; | m² - 7 | + n²
Therefore, when m = -2 and n = 5, we have that;
| (-2)² - 7 | + 5²
= | 4 - 7 | + 25
= | -3 | + 25
= 3 + 25
= 28.
Ultimately, the value of the expression according to the given parameters is; 28.
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1 decimal place. (2 marks) In a 4x400m relay competition, a team of athletes each completed their round in 45 sec. 43 sec. 44 sec and 45 sec respectively. If the race started at 1:35:31 p.m., find the time when the team completed the race. (3 marks)
Find the quotient of - 62"y' + 12x2?
15zy - 15 divided by
-3
The quotient of the expression -6x²y + 12x² + 15zy - 15 divided by -3 is 2x²y - 4x² - 5zy + 5
How to determine the quotientFrom the complete question, we have the following parameters that can be used in our computation:
quotient of -62"y' + 12x2? 15zy - 15 divided by -3
Express properly
So, we have
-6x²y + 12x² + 15zy - 15 divided by -3
To solve this question, we simply divide each term of the expression by -3
So, we have the following representation
(-6x²y + 12x² + 15zy - 15)/-3
Evaluate the quotient
2x²y - 4x² - 5zy + 5
Hence, the solution is 2x²y - 4x² - 5zy + 5
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Which player is the median?
IS
√21 A
RATIONAL
NUMBER? PLEASE
EXPLAIN
CLEARLY WHY IT
EITHER IS OR
ISN'T.
Answer:
√21 is irrational
Step-by-step explanation:
√21 = 4.58257569495584 which is a non-terminating decimal.
Therefore √21 is irrational.
Answer: No, it cannot be a rational number.
Step-by-step explanation:
A rational number is defined to be a whole number (ex. 1, 2, 3) or can be decimals that continuously repeat the digits after the point. In the case of a square root, they can be rational--but this only applies to perfect squares: √100, √64, √16, etc, which would give an outcome of a whole number. Therefore, √21 is not a rational number, as the decimal value is 4.57257, and is not continuous (ex. 3.666666).
Is 1 0 infinity or infinity?.
Since division by zero is not defined, 1/0 is not infinity, and 0/0 is not indeterminate.
We must keep in mind that, except in the case of limitations, the value of 1 divided by 0 is infinite. The phrase "infinity" denotes the size of the number. When it comes to limits, we merely presume that limit x's value tends toward something rather than being equal to anything. We thus treat it as infinite.
Since it is not a real number, infinity is only used to symbolise extraordinarily big real numbers. The result of 1 divided by infinity is 0. The quotient of nonzero real numbers that divide infinity is infinity, and the rule of thumb is that any real number divided by infinity is zero.
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Is it possible to have a triangle with the following sides 5 cm 9 cm 10 cm?.
Yes, it is possible to draw a triangle.
This will be done by the property: the sum of two sides of a triangle should be more than the third side.
(5cm + 9cm) =10 cm
14 cm = 10 cm
LHS>RHS
A triangle is possible.
A triangle is a polygon with three edges and 3 vertices. The terminology for categorizing triangles is more than two thousand years vintage, having been defined on the first actual page of Euclid's elements.
In Euclidean geometry, any three factors, while non-collinear, decide a completely unique triangle and simultaneously, a unique plane (i.e. a -dimensional Euclidean space). In different words, there's best one plane that consists of that triangle, and every triangle is contained in some plane. If the entire geometry is only the Euclidean plane, there is the best one plane and all triangles are contained in it; however, in higher-dimensional Euclidean spaces, this is not real. this text is ready triangles in Euclidean geometry, and in particular, the Euclidean plane, except wherein otherwise stated.
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What is the value of f/g )( 5 )?.
Answer:270
Step-by-step explanation:
We have to find (f/g)(5). Therefore, (f/g)(5) is 270.
In February, the amount of snowfall was 225 feet. In March, the amount of snowfall was 513 feet. What was the amount of snowfall in the two months combined? Write your answer as a mixed number in simplest form.
Answer:738
Step-by-step explanation:
find the highest common factor of 48 and 504
The highest common factor of 48 and 504 is 24.
What is an equation?An equation is an expression showing the relationship between numbers and variables.
The highest common factor or HCF of a group of numbers is the greatest number which divides the given numbers without remainder.
48 = 2 * 24
504 = 2 * 21 * 24
The HCF of 48 and 504 is 24
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What characteristics of parallel lines and perpendicular lines create different requirements?.
The Parallel lines never intersect, but they must be in the same plane and the perpendicular lines intersect at right angle and must be coplanar .
The Parallel lines are defined as the two lines which are in the same plane that are at equal distance from each other and never intersect or meet .
The Characteristics are :
(i) Parallel liens are always parallel and are at equidistant from each other. (ii) Parallel lines are non-intersecting lines.
(iii) We can say that Parallel lines meet at infinity.
The Perpendicular lines are formed when the two lines meet each other at a right angle or 90 degrees.
The Characteristics are :
(i) The Perpendicular lines always intersect at the right angle.
(ii) If the two lines are perpendicular to a same line, then they both are said to be parallel to each other and never intersect.
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Can anyone help me with this pls..?
The expression (3z⁴)² is equivalent to 9z⁸
What is an equation?An equation is an expression showing the relationship between numbers and variables.
The law of exponents states that raising a number with an exponent is equal to multiplying the exponent times the power. It is given as:
(xᵃ)ᵇ = xᵃᵇ
Given that:
(3z⁴)²
Applying the law of exponents:
= (3)²(z⁴)²
= 9z⁸
(3z⁴)² is equal to 9z⁸
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During an experiment, 456 g of carbon dioxide is produced. What is the mass of carbon dioxide in kg?
Answer:
0.456 kg
Step-by-step explanation:
I need help with this question so I can get my homework done What is. 0.75n+s
N(b) =75 because p(b) =n(b) /n(s)
0.75=n(b)/100
n(b)=0.75*100=75
What is probability?Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in Maths to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen. This is the basic probability theory, which is also used in the probability distribution, where you will learn the possibility of outcomes for a random experiment. To find the probability of a single event to occur, first, we should know the total number of possible outcomes.Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.
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find the principal of interest 3415 naira ,rate 5% and time 4 yrs 3 months
Answer:
Rs16.968
Step-by-step explanation:
solution
given
i=3415
r=5%
time=4yrs 3 months
=4.25 yrs
we know,
p=Ix100/tr
= 3415x100/4.25x5
=Rs16.98
©Thank You
Answered By Solution 49
If PQRS is a rectangle, ST = 12, and mzPRS = 23°, find each measure.
SQ =
PT =
measurement of angle QPR =
Answer:
SQ = 24
PT = 12
<QPR = 23°
Step-by-step explanation:
SQ= 12+12=24
PT=12
<PRS is alternate to <QPR
<QPR=23°
Provide numerical measures of individuals. The measures can be added or subtracted, and provide meaningful results.
Its called quantitative variables.
Examples of quantitative variables
Numerical measures of individuals are including:
Age: measured in yearsHeight: measured in inches or centimetersWeight: measured in pounds or kilogramsIncome: measured in dollars or another currencyEducation level: measured in years of schooling completedBlood pressure: measured in mmHgBody Mass Index (BMI): calculated as weight in kg divided by height in meters squaredHeart rate: measured in beats per minute (bpm)These are examples of quantitative variables because their values can be added, subtracted, and mathematically manipulated to provide meaningful results.
Numerical Measures of IndividualsThe primary numerical measure for qualitative data is called the proportion, and it is expressed as a percentage of the total data values in each category. The most frequent numerical measurements for quantitative data are the mean, median, mode, range, variance, and standard deviation. Other numerical measures include the percentiles and range.
The quantitative variables offer numerical measurements of the people being studied. On the values of a quantitative variable, arithmetic operations such as addition and subtraction can be done, and the resulting meaningful results can be interpreted in a variety of ways.
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