The correct standard error for the difference in means is 1.436434.
Given that sample sizes n₁= 180 and n₂= 20
Sample standard deviations s₁=4.6 and s₂=13.7
Pooled estimate of variance
(s^{2}_{p})= [(n₁-1)IS +(n₂-1)52 ] / (n₁+n₂-2)
= [179*4.62 + 19*13.72] / 198
= 37.140152
Standard error of difference between means (S.E) =
\((\bar b -\bar a) = \sqrt{s^2(\frac{1}{m} )(\frac{1}{n} })\)
\(= \sqrt{37.140\times[\frac{1}{180} \frac{1}{20} }]\)
= 1.436434
Therefore, the standard error for the difference in means is 1.436 (Round to three decimals).
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Helppppppppp. I’m serious
Work out the surface area pls
The value of surface area is,
SA = 570 cm²
Given that;
Base of house = 6 cm
And, Height of house = 19 cm
Since, The shape of house is like a prism.
We know that;
Area of Prism is,
SA = 2B + ph,
where B, stands for the area of the base, p represents the perimeter of the base, and h stands for the height of the prism.
Hence, We get;
SA = 2 × (1/2 x 6 × 19) + 2 (6 + 6) × 19
SA = 114 + 456
SA = 570 cm²
Hence, The value of surface area is,
SA = 570 cm²
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HELP!!!!
Two airplanes leave the airport. Plane A departs at a 44' angle from the runway, and plane B departs at a 40' from the runway Which plane was farther away from
the airport when it was 6 miles from the ground? Round the solutions to the nearest hundredth
Plane A because it was 8.64 miles away
Plane A because it was 8.34 miles away
Plane B because it was 7.83 miles away
Plane B because it was 9.33 miles away
Question 4 Multiple Choice Worth 1 points)
(05.02 MC)
A triangle was dilated by a scale factor of 4. If tan a' =
and FD measures 12 units, how long is EF?
Question 3 (Not Answered). Om
Ned Question
Previous Question
Answer:
Step-by-step explanation:
Using the sine rule
Airplane A has
6 / sin 44 =
6 / 0.6947 =
8.64
Airplane B has.
6 / sin 40 =
6 / 0.6428 =
9.33
therefore, the answer is airplane B, because it was 9.33 miles away
Solve for x. x^2−x+9=0 (Simplify your answer. Type an exact answer, using radicals and i as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)
The solution to the quadratic equation x^2 - x + 9 = 0 is x = (1 ± √35i) / 2.
To solve the quadratic equation x^2 - x + 9 = 0, we can use the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
In this equation, a = 1, b = -1, and c = 9.
Substituting these values into the quadratic formula, we have:
x = (-(-1) ± √((-1)^2 - 4(1)(9))) / (2(1))
x = (1 ± √(1 - 36)) / 2
x = (1 ± √(-35)) / 2
Since the discriminant (√(1 - 4ac)) is negative, we have a complex solution involving the imaginary unit "i." Therefore, the simplified answer is:
x = (1 ± √35i) / 2
So the solution to the quadratic equation x^2 - x + 9 = 0 is x = (1 ± √35i) / 2.
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Kellie thinks of a number, then doubles the number, and then multiplies the result by 3. If her final number is 65 more than her original number, then what was her original number I will give 70 points pls
Kellie's original number given the analogy and corresponding equation is 13
How to write and solve equation?let
the unknown number = x(x × 2) × 3 = x + 65
2x × 3 = 65 + x
6x = 65 + x
6x - x = 65
5x = 65
divide both sides by 5x = 65/5
x = 13
check:
6x = 65 + x
6(13) = 65 + 13
78 = 78
Therefore, the unknown number, x is 13
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Fill in the blank with the correct response.
What is the scale factor?
Answer:
3/5
Step-by-step explanation:
Answer:
3/5
Step-by-step explanation:
i have had this question too lol
Andre is flying a kite. Given
A
C
=
18
inches and
B
E
=
9
inches, calculate the area of the kite.
The figure shows a kite UpperWord ABCD. Dotted lines are drawn from Upper A to Upper C and from Upper B to Upper D which intersect at a point labeled as Upper E. The length of the sides UpperWord AB and UpperWord AD is labeled as 9 decimal point 8 inches and the length of the sides UpperWord BC and UpperWord DC is labeled as 16 decimal point 6 inches.
Area of the kite ABCD is 162 inch2
In geometry, a kite, or deltoid, or a quadrilateral with two disjoint pairs of congruent adjacent sides, in contrast to a parallelogram, where the congruent sides are opposite.
Formula used to find the area of the kite=
½ D1 D2 = area of kite [formula used]
Here, D1 = longer diagonal =AC
D2 = shorter diagonal = BD
According to the question in kite ABCD, AC = 18 inches and BD= BE+ED = 9+9 = 18 inches (data given)
½ D1 D2 = ½ *18*18
= 162 inch2
Therefore, the Area of the kite ABCD is 162 inch2
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Question 3
This question has two parts. First, answer Part A. Then, answer Part B.
Part A
There are 20 marbles in a bag: 8 purple, 5 gold, and 7 silver.
Part A: What is the probability that you select a silver marble? Reduce fractions if possible.
O
A) 20
O B)
O
c)
O D) 70
home within our geographic footprint.
Goals: Increase awareness of key homes for sale in our portfolio and generate traffic to the website for more information.
Step-by-step explanation:
the total is 8+5+7=20
the probabliliy that its gonna be 7/20
this fraction cannot be reduced
2. for each infinite sequence suggested below, give its generating function in closed form, i.e., not as an infinite sum. (use the most obvious choice of form for the general term of each sequence.)
The general term of each sequence that are given are \(a_{n} = n+2 / 2\) ; nEN for the each infinite sequence suggested below, give its generating function in closed form, i.e., not as an infinite sum.
The infinite sequence that are generally number's that doesn't have any ending and are called as the infinite sequence and other that have finite sequence which have final numbers.
Here given infinite sequence are :
\(a1 =1 , a2= 0 , a3= 0 , a4 = 1.\\closed form of infinite sequence is an = 1 and 0 otherwise.\\sequence that s given is 3,2,4,1,1,1 and\\ a1 = 3 , a2 2 , a3= 4, a4= 1.\\an = 3, n =1, a2 = 2, a3 = 4, \\no n= 1, n=2, n=3 1 otherwise\\Given sequence is 1,3,6,10 ,15 \\then an = n+2 /2.\)
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What is the equation of the function shown in the graph provided?
f(x)=?
Answer:
f(x)=3x
Step-by-step explanation:
solve the following equation x-5/3=x-2/5
Answer:
the statement is false for any value x = 0 (0 with a line through it
No solution
Step-by-step explanation:
cancel equal statements on both sides of the equation
x-5/3=x-2/5
-5/3 =-2/5
what are numerical or verbal descriptions that usually result from measurements of some sort?
The numerical or verbal descriptions that usually result from measurements are called data or observations.
When measurements are conducted, whether in scientific experiments, surveys, or other data collection processes, the outcome is typically a set of data or observations.
These measurements can be represented numerically, such as numerical values or quantities, or verbally, using descriptive terms or categories.
Numerical descriptions provide precise quantitative information, such as measurements of length, weight, temperature, time, or any other measurable attribute. These measurements are often expressed using numbers or units of measurement.
Verbal descriptions, on the other hand, use words or qualitative descriptions to convey information about the observations.
For example, when conducting a survey, respondents might provide verbal responses that describe their opinions, preferences, or experiences.
Both numerical and verbal descriptions play important roles in data analysis and interpretation.
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Graph the inequality 2x-5y > 10. Which ordered pair is a possible solution?
Answer:
3×6=
68
56
46
78
56
87
986786
Fill in the blank to make the number sentence true. 9 × < 9
The value of 'x' is less than one. Then substitute x = 0.5 for the equation to be true.
Given that:
9 × ___ < 9
Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
Let 'x' be the number in the blank space. Then we have
9 × x < 9
9x < 9
x < 1
The value of 'x' is less than one. Then substitute x = 0.5 for the equation to be true.
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A rectangular prism has length of 6.7 in, width of 9.3 in and a height of 10.5 in. What is the volume? how to solve
Answer:
V = 654.255 in^3
Step-by-step explanation:
6.7 in x 9.3 in x 10.5 in = 654.255 in^3 (cubic inches)
A cylinder is full at 471 cubic centimeters and has a radius of 5 centimeters. What is the height of the cylinder?
Answer:
the height is 6 meters
Step-by-step explanation:
v = \(\pi r^{2} h\)
471 = 3.14(25)h
471 = 78.5h Divide both sides by 78.5
\(\frac{471}{78.5}\) = \(\frac{78.5h}{78.5}\)
6 = h
Helping in the name of Jesus.
how many feet can you park from a fire hydrant in nj
Answer:
Within 10 feet of a fire hydrant
Step-by-step explanation:
Answer:
10 feet.
Step-by-step explanation:
Please help please! No fake answers pls
We have been able to prove that ΔKLM ≅ ΔKLN by Angle Side Angle Congruency Postulate (ASA)
How to identify the triangle congruence theorem?There are different triangle congruence theorems such as;
SAS: Side Angle Side Congruence Postulate
ASA: Angles Side Angle Congruence Postulate
SSS: Side Side Side Congruence Postulate
AAS: Angle Angle Side Congruence Postulate
HL: Hypotenuse Leg Congruence Postulate
Now, in the given diagram, we see that we are already given that;
∠KLM ≅ ∠KLN
∠LKN ≅ ∠LKM
Now, we can also say that KL is congruent to itself by the reflexive property of congruency and as such, we can say that ΔKLM ≅ ΔKLN by Angle Side Angle Congruency Postulate (ASA)
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HELP QUICKLY!!
10+(28-8)/4
Answer:
15Step-by-step explanation:
The order of operations is the key to solving this problem.
The PEMDAS acronym stands for:
Parenthesis
Exponents
Multiply
Divide
Add
Subtract
10+(28-8)÷4
First, solve parenthesis.
\(\sf{10+(28-8)\div4}\)
\(\sf{28-8=20}\)
Rewrite the problem down.
\(\sf{10+20\div4}\)
Then, divide.
20/4=5
Rewrite the problem down.
10+5
Add.
\(\sf{10+5=\boxed{\sf{15}}\)
So, the correct answer is 15.
I hope this helps you! Please let me know if my answer is incorrect.
Answer:
\(\displaystyle 15\)
Step-by-step explanation:
\(\displaystyle Grouping\:Symbols \hookrightarrow G \\ Exponents, Indices, or\:Radicals \hookrightarrow E \\ Multiplication\:and/or\:Division \hookrightarrow M \\ Subtraction\:and/or\:Addition \hookrightarrow S \\ \\ 10 + (28 - 8) \div 4 \hookrightarrow 10 + 20 \div 4 \\ \\ \boxed{15} = 10 + 5\)
By using GEMS, the result is fifteen.
I am joyous to assist you at any time.
The national football league is decided into two conferences, the American (A) and the National (N). From 1996 through 2004, the total of attendance (T) in the thousands for both conferences and for the American Conference games are modeled by the following equations, where y is the number of years since 1996.
T=35y³+27y²+1899
A=16y³+13y²+2y+905
Determine how many people attended the National Conference football game in 2002
So, 5,590,000. people attended National Conference football games in 2002.
T=35y³+27y²+1899
A=16y³+13y²+2y+905
Determine how many people attended National Conference football games in 2002
N = T - A
= (35y³+27y²+1899) - (16y³+13y²+2y+905)
= (35y³-16y³) + (27y²- 13y²) - (2y) + (1899 -905)
= (19y³)+ (14y²) - (2y) + (994)
= 19y³+ 14y² - 2y + 994
Let y = 6 represent 2002, then find how many people attended a National Conference football game in 2002.
N = 19(6)³ + 14(6)² - 2(6) + 994
= 19*216 + 14* 36 -2*6 + 994
= 4104 + 504 -12 + 994
= 5590
In 2002 the number of people who attended National Conference football games was 5590 thousand.
Multiply by 1000 to find the attendance in standard form. 5590 ×1000 = 5,590,000.
So, 5,590,000. people attended National Conference football games in 2002.
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Please Help Quickly ASAP Hurry ASAP
Marco, Garret, and Dino are hiding during a game of hide-and-seek. Their relative locations are shown in the diagram.
What is the distance between Garret and Dino?
The distance between Garret and Dino is 21 yards.
What is the distance between Garret and Dino?
The distance between the three friends is represented with a triangle. A traingle is a polygon with three sides and three angles.
The formula that would be used to determine the distance between Garret and Dino is:
C² = a² + b² - 2ab · CosC
C² = 17² + 15² - (2 x 15 x 17) Cos 81
C²= 514 - (510 x 0.15643)
C²= 434.24
C = √44.24 = 21 yards
WILL GIVE BRAINILEST HELP ASAP
Answer: B,C,D
Step-by-step explanation:
Since the only requirement is that the width needs to be at least 50 yds. B, C,D all work.
Help Please need correct answer.
A company produces equal numbers of footballs in three different colors. The manager wants to check each kind of football produced for errors. Which of the following is an example of stratified random sampling?
A) Check first 10 footballs of each color.
B) Group the footballs by their color and then randomly check 10 from each group.
C) Group the footballs by their color and then check the first 3 footballs from each
group.
D) Check the 4th football, and then every 5th football of each color
Answer: C
Step-by-step explanation:
Answer:
for anyone with the quiz its B!!
i just guessed at random and it was right.
Convert:
a) 5810 to base 2
b) 101112 to base 10
Step by step would be awesome
I suppose you mean to convert 58₁₀ to base 2, and not 5810₁₀ to base 2.
Write 58 as the sum of the largest powers of 2 that you can:
58 = 32 + 26
58 = 32 + 16 + 10
58 = 32 + 16 + 8 + 2
58 = 2⁵ + 2⁴ + 2³ + 2¹
58 = 1×2⁵ + 1×2⁴ + 1×2³ + 0×2² + 1×2¹ + 0×2⁰
⇒ 58₁₀ = 111010₂
To convert from base 2 to base 10, write out and simplify the decimal expansion as in the last line of the previous example.
10111₂ = 1×2⁴ + 0×2³ + 1×2² + 1×2¹ + 1×2⁰
10111₂ = 16 + 0 + 4 + 2 + 1
⇒ 10111₂ = 23₁₀
#a
\(\\ \sf\Rrightarrow (58)_{10}\)
\(\\ \sf\Rrightarrow (2+8+16+32)_{10}\)
\(\\ \sf\Rrightarrow (2^1+2^3+2^4+2^5)_{10}\)
\(\\ \sf\Rrightarrow 0(2^0) 1(2^1)+0(2^2)+1(2^3)+1(2^4)+1(2^5)\)
\(\\ \sf\Rrightarrow (111010)_2\)
#b
\(\\ \sf\Rrightarrow (10111)_2\)
\(\\ \sf\Rrightarrow 1\times 2^0+1\times 2^1+1\times 2^2+0\times 2^3+1\times 2^4\)
\(\\ \sf\Rrightarrow 1+2+4+16\)
\(\\ \sf\Rrightarrow (23)_{10}\)
13) Find two consecutive positive integers such that the square of the smaller increased by 4 times the
larger is 64
Answer:
LET X & (X+1) BE THE 2 INTEGERS.
X^2+4(X+1)=64
X^2+4X+4-64=0
X^2+4X-60=0
(X-6)(X+10)=0
X-6=0
X=6 ANS.FOR THE SMALLER INTEGER.
6+1=7 ANS. FOR THE LARGER INTEGER.
PROOF:
6^2+4*7=64
36+28=64
64=64
Step-by-step explanation:
A node or event with duration of 0 days is a(n) ______________.
a. error
b. milestone
c. short term activity (less than 1 day)
d. zero sum game
A node or event with a duration of 0 days is a b. milestone
A milestone refers to an important event in a project that has a duration of zero days. It signifies the completion of a significant phase or task within the project. Milestones are numbers placed on roads, such as roads, railroads, canals, or borders. They can show distances to cities, towns, and other places or regions; or they can set their work on track with respect to a reference point.
They are found on the road, often by the roadside or in a warehouse area. They are also called mile markers (sometimes abbreviated MM), milestones, or mileposts (sometimes abbreviated MP). "mile point" is the term used for the medical field where distance is usually measured in kilometers rather than miles. "Distance marking" is a general term that has nothing to do with units.
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. Mr. Poudel buys 60 bananas at Rs 80 per score and sells all the bananas at Rs 60 per dozen. What is his profit or loss? (1 score = 20) Profit and Loss 10. Mr. Poudel buys 60 bananas at Rs 80 per score and sells all the bananas at Rs 60 per dozen . What is his profit or loss ? ( 1 score = 20 ) - P : 60
Answer:
profit=Rs60
Step-by-step explanation:
I hope it helps.
HELP ASAP!!! WILL MARK BRAINLIEST!!!
Match the ordered pair with its corresponding translated ordered pair.
(3, 8) = ?
(1, 2) = ?
(-2, 0.25) = ?
(-1, 0.5) = ?
(0, 1) = ?
(2, 4) = ?
Choices:
1. (1, -1.75)
2. (2, -1.5)
3. (3, -1)
4. (4, 0)
5. (5, 2)
6. (6, 6)
There are no specific rules given for the translation, so it's not possible to provide an exact answer. However, I can provide an example of how the translation could be done, based on some common translation methods:
Let's say we want to translate each point by adding 2 to the x-coordinate and subtracting 3 from the y-coordinate. Then we can apply this translation to each ordered pair:
(3, 8) -> (3+2, 8-3) -> (5, 5)
(1, 2) -> (1+2, 2-3) -> (3, -1)
(-2, 0.25) -> (-2+2, 0.25-3) -> (0, -2.75)
(-1, 0.5) -> (-1+2, 0.5-3) -> (1, -2.5)
(0, 1) -> (0+2, 1-3) -> (2, -2)
(2, 4) -> (2+2, 4-3) -> (4, 1)
So the translated ordered pairs would be:
(3, 8) -> (5, 5)
(1, 2) -> (3, -1)
(-2, 0.25) -> (0, -2.75)
(-1, 0.5) -> (1, -2.5)
(0, 1) -> (2, -2)
(2, 4) -> (4, 1)
Note that there are many different ways to translate each ordered pair, depending on the specific translation rule used.
A homogeneous system of linear equations is a linear system of equations in which there are no constant terms. i.e., a homogeneous linear system is of the form:
a₁₁ x₁ + a₁₂ x₂ + ... + a₁ₙ xₙ = 0
a₂₁ x₁ + a₂₂ x₂ + ... + a₂ₙ xₙ = 0
....
aₘ₁ x₁ + aₘ₂ x₂ + ... + aₘₙ xₙ = 0
A homogeneous system of linear equations is a system where all equations are of the form ax = 0, with no constant terms. It represents a system where the only solution is the trivial solution (all variables equal to zero) or infinitely many solutions.
A homogeneous system of linear equations consists of a set of linear equations with zero constant terms. The general form of a homogeneous system can be represented as:
a₁₁x₁ + a₁₂x₂ + ... + a₁ₙxₙ = 0
a₂₁x₁ + a₂₂x₂ + ... + a₂ₙxₙ = 0
...
aₘ₁x₁ + aₘ₂x₂ + ... + aₘₙxₙ = 0
Here, the variables x₁, x₂, ..., xₙ represent the unknowns, and the coefficients a₁₁, a₁₂, ..., aₘₙ are constants.
A key property of homogeneous systems is that they always have at least one solution, known as the trivial solution, where all variables equal zero. This solution can be easily verified by substituting zero for each variable in the equations. Additionally, if a homogeneous system has nontrivial solutions (solutions other than the trivial solution), it will have infinitely many solutions.
The reason behind the infinite solutions is that if a system has a nontrivial solution (where at least one variable is nonzero), any scalar multiple of that solution will also be a solution. This property is known as the scaling property of homogeneous systems.
Homogeneous systems are extensively studied in linear algebra because they form the basis for concepts such as vector spaces, linear independence, and the null space of a matrix. They also have applications in various fields, including physics, engineering, and computer science.
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A homogeneous system of linear equations is a linear system of equations in which there are no constant terms. i.e., a homogeneous linear system is of the form:
a₁₁ x₁ + a₁₂ x₂ + ... + a₁ₙ xₙ = 0
a₂₁ x₁ + a₂₂ x₂ + ... + a₂ₙ xₙ = 0
....
aₘ₁ x₁ + aₘ₂ x₂ + ... + aₘₙ xₙ = 0 Explain.
Find the surface area of the figure. Hint: the surface area from the missing prism inside the prism must be ADDED!
To find the surface area of the figure, we need to consider the individual surfaces and add them together.
First, let's identify the surfaces of the figure:
The lateral surface area of the larger prism (excluding the base)
The two bases of the larger prism
The lateral surface area of the smaller prism (excluding the base)
The two bases of the smaller prism
The lateral surface area of a prism is given by the formula: perimeter of the base multiplied by the height.
The bases of the prisms are rectangles, so their areas can be calculated by multiplying the length by the width.
To find the missing prism's surface area, we need to consider that it is a smaller prism nested inside the larger prism. The lateral surface area and bases of the missing prism should also be included.
Once we have calculated the individual surface areas, we add them together to find the total surface area of the figure.
Without specific measurements or dimensions of the figure, it is not possible to provide a numerical answer. Please provide the necessary measurements or dimensions to calculate the surface area.
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A meteorologist was monitoring the temperature outside in degrees Fahrenheit (°F) and wrote the expression 78+(-6) -5. Which statement best describes this expression?
A
The temperature started at 78°F and decreased by 6°F. Then the temperature decreased by 5°F.
B
The temperature started at 78°F and increased by 6°F. Then the temperature decreased by 5°F.
C
The temperature started at 78°F and increased by 6°F. Then the temperature increased by 5°F.
D
The temperature started at 78°F and decreased by 6°F. Then the temperature increased by 5°F.
Correct option is A, The temperature started at 78°F and decreased by 6°F. Then the temperature decreased by 5°F.
What is an expression?An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.
You must substitute a number for each variable and carry out the arithmetic operations in order to evaluate an algebraic expression. Since 6 + 6 equals 12, the variable x in the example above is equal to 6. If we are aware of the values of our variables, we can substitute those values for the original variables before evaluating the expression.
An expression is, for instance, 3x - 2. While an equation, on the other hand, denotes the connection between two separate expressions via an equal to sign, One such equation is 3x - 2 = 5 + x.
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