There may have been some bias or non-randomness in the selection process of the children for the community project.
To test whether the children were randomly selected, we can conduct a hypothesis test using the following steps:
Step 1: State the null and alternative hypotheses
Null hypothesis: The proportion of low-income children in the sample is equal to the proportion of low-income children in the population (i.e., p = 0.80).
Alternative hypothesis: The proportion of low-income children in the sample is not equal to the proportion of low-income children in the population (i.e., p ≠ 0.80).
Step 2: Determine the level of significance
Assuming a level of significance of 0.05, we want to find out whether the sample provides strong evidence to reject the null hypothesis in favor of the alternative hypothesis.
Step 3: Calculate the test statistic
We can use the z-test for proportions to calculate the test statistic, which measures the number of standard errors between the sample proportion and the population proportion under the null hypothesis.
z = (p - p) / √[p(1-p) / n]
where:
p = sample proportion
p = hypothesized population proportion
n = sample size
Using the given information, we have:
p = 0.74
p = 0.80
n = 200
Plugging in the values, we get:
z = (0.74 - 0.80) / √[(0.80)(1-0.80) / 200] = -2.33
Step 4: Determine the p-value
We need to find the probability of obtaining a z-score as extreme as -2.33 or more extreme (in either direction) if the null hypothesis is true. This is the p-value.
Using a standard normal distribution table or calculator, we find that the p-value is approximately 0.0202.
Step 5: Make a decision
Since the p-value (0.0202) is less than the level of significance (0.05), we reject the null hypothesis. This means that there is strong evidence to suggest that the sample proportion of low-income children is significantly different from the population proportion. In other words, it is unlikely that the sample was randomly selected from the population.
Therefore, further investigation may be needed to identify the potential sources of bias and take corrective actions.
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Can someone explain how to solve this
Answer:
(-(11 w^2 - 13))
Step-by-step explanation:
Simplify the following:
2 w^2 - 13 w^2 + 13
Grouping like terms, 2 w^2 - 13 w^2 + 13 = (-13 w^2 + 2 w^2) + 13:
(-13 w^2 + 2 w^2) + 13
2 w^2 - 13 w^2 = -11 w^2:
-11 w^2 + 13
Factor -1 out of -11 w^2 + 13:
Answer: (-(11 w^2 - 13))
Solve the system of linear equations by elimination.
-5x+12y=8
2x-8y=0
Answer:
x = -4
y = -1
Step-by-step explanation:
-5x+12y=8
2x-8y=0
We multiply the first equation by 2 and the second equation by 5
-10x + 24y = 16
10x - 40y = 0
-16y = 16
y = -1
Now put -1 back in for y and solve for x
-5x + 12(-1) = 8
-5x - 12 = 8
-5x = 20
x = -4
Let's check
-5(-4) + 12(-1) = 8
20 - 12 = 8
8 = 8
So, x = -4 & y = -1 is the correct answer.
Which question can be answered by finding 4
You have 4 pounds of fruit and use pound. How much fruit is remaining?
How much is of 4 pounds of fruit?
CLEAR
You are buying pound containers of fruit at the store. How many containers do you need to buy to have 4 pounds of truit?
The question which can be answered by finding 4½ ÷ ¼ is "You are buying ¼ pound containers of fruit at the store. How many containers do you need to buy to have 4½ pounds of truit?".
The correct answer choice is option C
How to divide fraction?You have 4½ pounds of fruit and use ¼ pound. How much fruit is remaining
Pounds of fruits remaining = Pounds of fruits you have - pounds of fruits used
= 4½ - ¼
= 9/2 - 1/4
= (18-1)/4
= 17/4 pounds
How much is ¼ of 4½ pounds of fruit?
= ¼ × 4½
= ¼ × 9/4
= 9/16 pounds of fruits
You are buying ¼ pound containers of fruit at the store. How many containers do you need to buy to have 4½ pounds of truit?
Number of containers needed = 4½ ÷ ¼
= 9/2 ÷ 1/4
multiply by the reciprocal of 1/4
= 9/2 × 4/1
= 36/2
= 18 containers
Hence, The question which represents 4½ ÷ ¼ is "You are buying ¼ pound containers of fruit at the store. How many containers do you need to buy to have 4½ pounds of truit?".
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what is the answer please i need help -2.6f+0.4f-14-4
Answer: [tex]-2.2f-18[/tex]
Step-by-step explanation:
[tex]-2.6f+0.4f-14-4=f(-2.6+0.4)+(-14-4)=-2.2f-18[/tex]
A food delivery driver is 4 3/4 miles west of a city's library when he receives a call to pick up food from a restaurant. The restaurant is 1.5 miles east of the library. Assume the driver takes the most direct route to the restaurant. How will the driver drive to the restaurant? Select from the drop-down menus to correctly complete the statement.
If a food delivery driver is 4 3/4 miles west of a city library when he gets a call to pick up food from a restaurant, the mixed fraction is 4.75 miles, and the overall distance is 6.25 miles.
What is a fraction?The numerator, which is the portion of a fraction that is at the top, and the denominator, which is the portion that is at the bottom, are its two constituent parts.
It is given that:
A food delivery driver is 4 3/4 miles west of a city library when he receives the call to pick up food from a restaurant.
The restaurant is 1.5 miles east of the library.
The mixed fraction can be written as:
4 3/4 = 19/4 = 4.75
Total = 4.75 + 1.50 = 6.25 miles
Thus, If a food delivery driver is 4 3/4 miles west of a city library when he gets a call to pick up food from a restaurant, the mixed fraction is 4.75 miles, and the overall distance is 6.25 miles.
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I need helppp quickkkk
The required triangles are similar because Corresponding sides of the triangles are proportional and their corresponding angles are same.
What is Similarity?For plants, an isotype is a replica of the logotype; holotype and isotypes are frequently taken from the same individual plant or samples from the same collection. Hence Isotypes are pairs of related holotypes. Therefore, choice D is the right response.
According to question;To prove the similarity of two triangles,Corresponding sides of the triangles are proportional and their corresponding angles are same.
The scale factor of their side = 33/11 = 3
So, ΔQRS ~ ΔTUV with scale factor of 3.
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Since the respective sides of the required triangles are proportional and their corresponding angles are identical, the required triangles are similar.
What exactly is similarity?Holotype and isotypes are typically obtained from the same specific plant or samples from the same collection. An isotype is a copy of the logotype for plants. Since they are related holotypes, isotypes are pairs of them. D is the appropriate response, thus.The respective sides of the triangles are proportional, and their corresponding angles are identical, which helps to demonstrate how similar two triangles are.Their side's scale factor is 33/11, or 3.As a result, QRS TUV with a scale factor of 3.To learn more about isotypes refer
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To change the weight of kilograms into pounds, multiply the weight in kilograms by ____________
To change the weight of kilograms into pounds, multiply the weight in kilograms by 2.2
According to the conversion systems, 1 kg = 2.2046 lbs
To facilitate conversion on a pen-paper basis we cannot use 2.2046 whole.
Hence we generally consider 1 k = 2.2 pounds.
The symbol for pounds is lbs and for kilograms is kg.
Now, 1 kg is 2.2 lbs
2 kg = 1 kg + 1 kg
= 2.2 lbs + 2.2 lbs
= 4.4lbs = 2 X 2.2
3 kg = 1 kg + 2 kg
= 2.2 lbs + 4.4 lbs
= 6.6 lbs. = 3 X 2.2
Hence we can see that for all these numbers we can multiply 2.2 to the given weight in kg to get the pounds form.
Hence we need to multiply 2.2
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What happens when you take the absolute value of a complex number?
The origin in the complex plane is represented by the number 0. Therefore, the separation between a complex number and the complex plane's origin (zero) equals its absolute value.
What happens when you calculate a number's absolute value?A number, variable, or expression is enclosed in two vertical bars to represent an absolute value in mathematics, as in the following example: A number's absolute value is always either positive or zero when calculated. The absolute value remains the same whether the initial value is already positive or zero.The origin in the complex plane is represented by the number 0. Therefore, the separation between a complex number and the complex plane's origin (zero) equals its absolute value.You won't have a solution if your absolute value expression is set to a negative quantity.To learn more about absolute value refer to:
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Why is 47 a prime number?
Answer:
47 is a prime number because it has only two factors, 1 and 47.
Step-by-step explanation:
Your welcome.
Answer: A prime number is a number that can only be divided evenly by 1 and itself. 47 is a prime number because it can only be divided evenly by 1 and 47. It cannot be divided evenly by any other number. That's why we say 47 is a prime number. ✅
PLEASE MAKE THIS A BRANLIEST ANSWER!!!
ASAPPPP I'LL GIVE BRAINIESTβ
In each basket of fruit, there are 3 more apples than pears.
Which equation represents the relationship between the number of apples a and the number of pears p?
p = a + 3
p, = , a, + 3
a = p + 3
a = p + 3
p = 3a
p, = 3, a
a = 3p
The equation that represents the relationship between the number of apples a and the number of pears p is b. a = p + 3.
How to illustrate the equation?An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario.
From the information, in each basket of fruit, there are 3 more apples than pears.
Let p = pears
Let a = apple
Therefore, the equation that represents the relationship between the number of apples a and the number of pears p is a = p + 3.
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Evaluate each expression when X=3/4 and y=2.5
1. 8x
2. y2
3. 10/y
Answer:
1. 6
2. 5
3. 4
Step-by-step explanation:
For each expression, Substitute the variable for what is given in the statement.
1. 8×(3/4)=6
2. 2.5×(2)=5
3. 10/2.5=4
The formula for the area of a square is A = s^2 where s is the side length. A square garden has a side length of x^4y. What is the area of the garden?
for questions 13-16, determine if the inverse of the function shown on the graph would also be a function.
If a function yields the result y, then its inverse function, denoted by the symbol , will return the value x.
What is meat by inverse of the function?A function's output is returned when its inverse function does the same action variable. The inverse function of a function, or f-1(y), will return the value x if the function f(x) produces the output y.A function that reverses the action of a function, or f, is known as its inverse in mathematics.
Here,
A function that reverses the effects of another function is said to have an inverse. If y = f(x), then x must always equal g, then a function g is the inverse of a function f. (y). Application of f followed by application of g is equivalent to doing nothing, in other words. As g(f(x)) = x, this can be expressed in terms of the relationship between f and g.
Because they allow for the reversal of mathematical operations, inverse procedures are crucial for solving equations (e.g. logarithms, the inverses of exponential functions, are used to solve exponential equations). How to invert a mathematical technique is one of the most crucial questions whenever one is introduced.
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The complete question : " In Exercises 15-18, match the graph of the function with the graph of its inverse function. [The graphs of the inverse functions are labeled (a), (b), (c), and (d).]"
Estimate a 15% tip on a dinner bill of 32.57 by first rounding the bill amount to the nearest ten dollars.
(Timed, but you will get a lot of points and brainliest and 5 stars!)
Answer: 5.
Step-by-step explanation: The .57 doesn't matter so we can remove that.
Multiply 32 by 0.15
32 x 0.15 = 4.8
After you get your result, round it to the nearest tenths.
4.8 = 5
hope this helps
Write the quadratic equation whose roots are -3 and 6, and whose leading coefficient is 4
The quadratic equation whose roots -3 and 6 and leading coefficient 4 is 4x²-12x-72 = 0
What is quadratic equation?A quadratic equation is an equation of degree 2, meaning that the highest exponent of this function is 2. The standard form of a quadratic is y = ax^2 + bx + c, where a, b, and c are numbers and a cannot be 0. Examples of quadratic equations include all of these: y = x² + 3x + 1 , y = x²+x-1
If the root of the quadratic equation are -3 and 6
then, x = -3 and x= 6
therefore x+3 = 0 and (x-6) = 0
(x+3)(x-6) = 0
with leading coefficient 4,
then 4( x+3) ( x-6) = 0
4 ( x²-6x+3x-18) = 0
4( x²-3x-18) = 0
open the parentheses,
4x²-12x-72 = 0
Therefore, the quadratic equation with root -3 and 6 and leading coefficient 4 is 4x²-12x-72 = 0
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Mr. Myers bought 36 bottles of water for $8.28.
Mrs. Shurley bought 24 bottles of water for $5.76.
Ms. Darbe bought 18 bottles of water for $3.78.
Mrs. Stewart bought 12 bottles of water for $3.00.
Who get the best deal?
Find the distance between the two points rounding to the nearest tenth (if necessary).
(-9, 1) and (-3,4)
Help needed asap!;)
The distance between the two points rounding to the nearest tenth is 6.7 units.
What is graphical distance?In the field of mathematics known as graph theory, the number of edges in the shortest path (also known as a graph geodesic) connecting two vertices in a graph is the distance between them. This distance is also referred to as the geodesic or shortest-path distance.
It should be noted that there may be more than one shortest path between any two vertices. Traditionally, the distance is thought of as infinite if there is no path connecting the two vertices, or if they are a part of different connected components.
If at least one such arc-based directed path exists, the distance d(u,v) between two vertices u and v in a directed graph is defined as the length of that path.
The distance between two point's formula is
[tex]$ \sqrt{(\text x_2 - \text x_1)+(\text y_2 -\text y_1)}[/tex]
Putting the values in formula we get
= [tex]\sqrt{( -3 - (-9))^2+(4 -1)^2}[/tex]
= [tex]3\sqrt{5}[/tex]
= 6.7
Thus, the distance between the two points rounding to the nearest tenth is 6.7 units.
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Is 48 a factor of 8?
No, number 48 is not the factor of 8 , 48 is a multiple of 8.
As given in the question,
Given number is equal to ,
48.
Factors are those numbers which divide the given number completely without leaving any remainder.
The factors of the number 48 are equal to:
1, 2, 3, 4, 6, 8, 12, 16, 24 and 48.
Multiple of 8 are equal to :
8, 16, 24, 32, 40, 48, .....
48 is not considered as a factor of 8 it the multiple of the number 8.
8 is the factor of the given number 48.
Therefore, number 48 is not the factor of 8 , it is considered as the multiple of 8.
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Pls help 4 cups of flour are mixed with 24 cups of sugar. How many cups of flour should be used if 84 cups of sugar are used?
The amount of flour needed for 84 cups of sugar will be 14 cups of flour.
How to measure quantity?A property that can be measured like, mass, length, time, volume, and pressure. A unit is a standard quantity against which a quantity is measured for example, gram, metre, second, litre, pascal, which are units of the preceding quantities.
To measure the quantity of cups of flour needed to mix 84 cups of sugar;
24 cups of sugar = 4 cups of flour
84 cups of sugar = ? cups of flour = 84/24 x 4
for 84 cups of sugar = 3.5 x 4 = 14 cups of flour.
It will take 14 cups of flour to mix 84 cups of sugar.
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What is the range of f(x) = |x| − 5?
Answer:
from -5 to infinity
Step-by-step explanation:
Hope this helps.
Solve for y
x = x (2x - 4) + y
The first x is squared I just can’t put a square in brainly
Answer:
y = −x^2 + 4x
Step-by-step explanation:
x^2 = x (2x - 4) + y
Let's simplify it and we get
x^2 = 2x^2 - 4x + y
Now, we want to get the y by itself
x^2 = 2x^2 - 4x + y
-x^2 = -4x + y
-x^2 + 4x = y
So, our answer is y = −x^2 + 4x
Determine the type of dilation shown and the scale factor used.
Enlargement with scale factor of 1.5
Enlargement with scale factor of 2.5
Reduction with scale factor of 1.5
Reduction with scale factor of 2.5
The figure's scale factor and type of dilatation are
enlargement using a 2.5 scale factorFinding the type of dilatationWhat are scale factors?Scale factors are applied to alter the size of the image. The circumstance of increase is frequently referred to as enlargement or magnification.
Given that the preimage is smaller than the image, the situation is enlargement. This implies that the scale factor will also be higher than 1.
Establishing a baseline, say side 8 and side 20 in the preimage and the image respectively. Then, assuming the factor is k, get the factor.
8k = 20
k = 20/8
k = 2.5
The scale factor is 2.5
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What is the exponential form of 64 *?
The exponential form of 64 is 2^6.
If x is 0, wouldn't that make it 2^0 being one
Answer:
any number raised by power 0 is always one
ie 10000000000^0 = 1
99999999^0 =1
23^0 = 1
Answer:
Yes. If x=0, then 2ˣ = 0
Step-by-step explanation:
I presume you mean 2ˣ
Any number raised to the power zero is 1 so if x = 0, 2⁰ = 1. There are debates about what 0⁰ evaluates to but I don' think you need to worry about that for this question
I hope I interpreted your question correctly.
A local car dealership is offering a sale. All new cars are on sale for 23% off the sticker price. All used cars are 10% off the sticker price. You have narrowed your decision down to two cars:
Car 1 (new) sticker price = $20,000.00
Car 2 (used) sticker price = $17,000.00
Answer the following questions.
How much money would you save on car 1?
How much money would you save on car 2?
Which car would you choose to buy and why? Justify your answer using your calculations.
To find out how much money you would save on car 1, you would multiply the sticker price by the discount percentage (expressed as a decimal). In this case, that would be $20,000.00 x 0.23 = $4,600.00. So you would save $4,600.00 on car 1.
To find out how much money you would save on car 2, you would multiply the sticker price by the discount percentage (expressed as a decimal). In this case, that would be $17,000.00 x 0.10 = $1,700.00. So you would save $1,700.00 on car 2.
Based on the calculations, Car 1 would be a better deal. Even though Car 2 is cheaper by $3,000.00 before discount, Car 1 saves more on discount of $4,600.00 compared to Car 2's $1,700.00. So Car 1 would be more affordable overall.
What is the midpoint Riemann sum formula?
The formula for the midpoint Riemann sum is: (b-a)/(2n) × [f(x1)+f(x2)+f(x3)+...+f(xn)] where xi = a+i(b-a)/n ( i = 1 to n)
The midpoint Riemann sum formula is a method of approximating the definite integral of a function over a given interval [a,b].
It involves dividing the interval into n subintervals of equal width, and for each subinterval, taking the midpoint of the subinterval as the x-coordinate and the function value at that point as the y-coordinate.
The sum of the areas of rectangles formed by these coordinates and the subinterval widths is then used as an approximation for the definite integral.
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I kinda need help :<
For each coordinate grid, identify a pair of congruent figures. Then determine a congruence transformation that maps the pre-image to the congruent image.
The coordinates of the vertices of △ABC are A(-4,1), B(-2,4), C(-2,0), △CDE are C(-1,-1), D(1,1), E(4,-1), and △IHG are I(2,3),H(4,0), G(4,4).
The transformation is △ABC reflected with the line y =2 and shifted 6 units right sides.
What are the vertices of a triangle?
A triangle is a three-edged polygon with three vertices. It is a fundamental shape in geometry. Triangle ABC denotes a triangle with vertices A, B, and C. In Euclidean geometry, any three non-collinear points define a unique triangle and, by extension, a unique plane.
There are three triangles. The vertices of △ABC are A(-4,1), B(-2,4), C(-2,0).
The vertices of △CDE are C(-1,-1), D(1,1), E(4,-1). The vertices of △IHG are I(2,3),H(4,0), G(4,4).
The △ABC is congruent with △IHG.
The difference between the x-coordinate of A and I is (2 - (-4)) = 6
The difference between the x-coordinate of B and H is (4 - (-2)) = 6
The difference between the x-coordinate of C and G is (4 - (-2)) = 6
The sum of the y-coordinate of A and I is (3+1) = 4
The sum of the y-coordinate of B and H is (4 + 0) = 4
The sum of the y-coordinate of C and G is (4 + 0) = 4
The midpoint of y-coordinate of △ABC and △IHG is 4/2 = 2
The △ABC is reflected by y = 2 and shifted 6 units right side.
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Which of the following quadratic equation describe the speed of Raj’s car
The quadratic equation that describe the speed of Raj's car is c) x² + 5x - 500 = 0
How to calculate the equation?speed of raj car = x km/h .
speed of ajay car = 5 km faster than speed of raj car = (x + 5) km/h .
Distance cover by ajay in 2 hours = 2(x + 5) km
time taken by raj to cover 400 km = D/S = (400/x) hours .
time taken by ajay to cover 400km = D/S = 400/(x + 5) hours .
A/q,
400/x - 400/(x + 5) = 4
400{1/x - 1/(x + 5)} = 4(x + 5 - x)/x(x + 5) = 1/100
x² + 5x = 5 * 100
x² + 5x - 500 = 0
In this case, it should be noted that the concept that was Illustrated here is the concept of quadratic equations.
Therefore, based on the calculation above, the correct option is C.
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Complete question
Which of the following quadratic equation describe the speed of Raj's car?
a) x² - 5 X - 500 = 0
b) x² + 4x - 400 = 0
c) x² + 5x - 500 = 0
d) x² - 4x + 400 = 0
Help me with this please
Answer:
Step-by-step explanation:
All except "E", "C", and "B".
A and D are true.
The line is negative and the slope is -5, not 5.
(40 PTS, HELP ME) In the following diagram, A || B.
Use complete sentences to explain how the special angles created by the intersection of A and B by D can be used to solve for x.
Solve for x, showing all of your work
The answer is 24
What are supplementary angles?Supplementary angles are those angles that sum up to 180 degrees. For example, angle 130° and angle 50° are supplementary angles because sum of 130° and 50° is equal to 180°.
Given here: A || B.
Now if transversal D intersects A and B we have
If a transversal intersects two parallel lines, then each pair of interior angles on the same side of the transversal is supplementary, i.e. they add up to 180°. When two lines intersect each other, then the opposite angles, formed due to intersection, are called vertical angles or vertically opposite angles.
Thus we have 4x+5+3x+7=180
7x=168
x=24
Hence, The value of x is 24
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