The p -value for the hypothesis test is; 0.4195
What is the p-value of the hypothesis test?Let us first define the hypotheses.
We are told that the mean of u.s. college students in general, is estimated to be 4.73. Thus;
Null Hypothesis; H₀: μ = 4.73
Alternative Hypothesis; Hₐ: μ ≠ 4.73
Since we have the standard deviation for the sample, we will use the t-distribution with the formula;
t = (x' - μ)/(s/√n)
Where;
x' is the sample mean.
μ is the value tested at the null hypothesis.
s is the standard deviation of the sample.
n is the sample size.
We are given;
x' = 5.11
μ = 4.73
s = 3.98
n = 52
Thus;
t = (5.11 - 4.73)/(3.98/√52)
t = 0.688
Using a t-distribution calculator, this p-value is 0.4195
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Is Max () a method or function?
Max() is a method.
max() is a static method of Math , we always use it as Math.max() , rather than as a method of a Math object you created.
Static Method
A static method is a method defined as a member of an object but is accessible directly from an API object's constructor, rather than from an object instance created via the constructor.
Sometimes a method performs a task that does not depend on the data of any object . Such a method applies to the class in which it's declared as a whole and is known as a static method.
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QRST is a parallelogram. Find the value of x.
Answer:
4
Step-by-step explanation:
Diagonals of a parallelogram bisect each other.
Which congruence theorem can be used to prove Abda Adbc?
The congruence theorem that will prove △BDA and △DBC is A. Hypotenuse-leg (HL) congruence.
Determining the right congruence theorem that will prove △BDA and △DBC after being provided a schematic of two right triangles.
Since we are aware that the hypotenuse-leg theorem stipulates that if the hypotenuse and one of the right triangles' legs are congruent with their equivalent hypotenuses in other right triangles, the triangles are said to be congruent.
We can see from our diagram that hypotenuse(AB) of △BDA equals to hypotenuse (CD) of △DBC.
We can see that triangles BDA and DBC share a common side DB.
Using Pythagorean theorem we will get
CD² = DB²+BC²
AB = DB²+AD²
given that CD=AB, Upon using this information we will get,
DB²+BC² = DB²+AD²
subtracting DB² from both sides of our equation we will get,
BC² = AD²
Cutting squares on both sides
BC = AD
Hence, by HL congruence △BDA ≅ △DBC.
Note that the full question is:
Which congruence theorem can be used to prove △BDA ≅ △DBC?
A. HL
B. SAS
C. AAS
D. SSS
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How can you determine the end behavior of a polynomial function without graphing it?
Check whether a polynomial function is an odd-degree or even-degree function, as well as whether the leading coefficient is positive or negative, before attempting to determine its end behavior.
Given,
The polynomial end behavior;-
The behavior of the function graph at the "ends" of the x-axis is known as the end behavior of a function, or f. In other words, if we look at the right end of the x-axis (as x approaches +) and the left end of the x-axis (as x approaches ), the end behavior of a function represents the trend of the graph.
Here,
Look at the polynomial function's leading term to identify its end behavior. The leading term will dominate the graph since it has the largest power and will thus increase much more quickly than the other terms as x gets very large or very small.
That is,
Check the function's odd- or even-degree status and the leading coefficient's positive or negative value before attempting to forecast the polynomial function's end behavior.
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what the missing number
The missing measure in the triangle is 46°
How to find the missing measure in the triangle?
Given: a triangle with angles 66°, 68° and a missing measure of x°
Since the sum of angles in a triangle is 180°. We have:
66°+ 68° + x° = 180°
134 + x = 180
x = 180 - 134
x = 46°
Thus, the missing number is 46°
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Help? please!!!
Result of problem 2 5/6 - 4/5 + 1.75 = .....?
Anyone want to answer???
Answer: 227/ 60 = 3 47/60 OR 3.783
Note: If you don't get the right answer because of the extra 3 in 3.783 then simply remove the extra 3 at the end.
Explanation:
Step 1: Multiply the whole number 2 by the denominator 6. Whole number 2 equally.
Step 2: Add the answer from the previous step 12 to the numerator 5. New numerator is 12 + 5 = 17
Step 3: Write a previous answer (new numerator 17) over the denominator 6
Message: If you found this helpful let me know by giving a thanks! :)
2. Liam picked tomatoes and onions from his garden this year. The ratio of the number of tomatoes to the
number of onions picked was 9 to 6. If 42 tomatoes were picked, how many onions were picked?
Answer:
28
Step-by-step explanation:
Since 42 tomatoes were picked, we can take the reciprocal (the reversed fraction) of the 9:6 ratio and make it 6:9, then multiply 42 by 6/9.
5. What would you use to graph the inequality y> -x + 10?
A. A number line
B. The coordinate plane
C. The origin
D. This inequality cannot be graphed
Answer:
The coordinate plane
Step-by-step explanation:
Graph the line [tex]y=-x+10[/tex] with a dotted boundary and shade the region above the line.
Brainliest will be rewarded please help!!!!!!!! Due in 5 min
Answer:
Step-by-step explanation:
a:5
b:8
d:20
E:20
i dont understand still whas 29 divided by 5123
Answer: 29 divided by 5123 is 0.005
I hope this helps :) (if not correct ask another person)
infeasible problems can occur when the demand requirement is higher than the available capacity. True/False
True, When the demand is greater than the capacity, impossible situations can arise.
What is meant by demand?Demand is outlined as the quantity of a good that buyers are willing and able to purchase at a specific price. This is an if...then statement, thus if the price is $1,000, the quantity demanded is 60, and so on. Therefore, it is a function with the form y = f(x), where x now represents price and y represents quantity.
A linear demand equation is defined as Q = a - bP in standard form. In other words, pricing influences the quantity demanded. The price equation, often known as the inverse demand equation or price equation, treats the price as a function f of the amount demanded: P = f. (Q). Simply solve for P from the demand equation to obtain the inverse demand equation.
So, the answer is true that when the demand is greater than the capacity, impossible situations can arise.
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What is the intersection of two planes 1⃣ point 2⃣ segment 3⃣ straight line 4⃣ plane?
the intersection of two planes 1⃣ point 2⃣ segment 3⃣ straight line 4⃣ plane has The intersection of two planes is a straight line.
When two planes intersect each other, the intersection of two plane is a line. This line is formed by the points that satisfy the equations of the two planes.When two planes intersect each other, their intersection is a straight line. This line is determined by the points which are common to both planes and which satisfy the equations of the two planes. The line is the shortest path between any two points on the surface of the planes.
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WHAT TYPE OF NUMBER IS 6 +2i
Answer:
imaginary number
Step-by-step explanation:
i means imaginary in math
Tell whether the blue figure is a translation, reflection, rotation, or dilation of the red figure.
O translation
O reflection
O rotation
O dilation
Answer:
Dilation
Step-by-step explanation:
The blue figure is larger than the red figure. It wasn't moved, reflected, or rotated. So the only answer is a dilation since dilations involve the size of figures.
if a 50-year flood occurs on the mississippi river in a given year, what is the probability that a flood of the same size will occur in the following year?
By using the concept of probability, it can be calculated that
Probability that a flood of the same size will occur in the following year = [tex]\frac{1}{50}[/tex]
What is probability?
Probability gives us the information about how likely an event is going to occur
Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.
Probality of any event is greater than or equal to zero and less than or equal to 1.
Probability of sure event is 1 and probability of unsure event is 0.
50-year flood occurs on the mississippi river in a given year
Probability that a flood of the same size will occur in the following year = [tex]\frac{1}{50}[/tex]
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Find the breadth of a cuboid, if its volume is 5168 cm³ and its length and height are 19 cm and 16 cm respectively.
The volume of the cuboid is given as length x breadth x height thus, the breadth of the given cuboid will be 17 cm.
What is volume?Volume is the scalar quantity of any object that specified occupied space in 3D.
For example, the space in our room is referred to as volume.
Volume has units of cube example meter³,cm³, etc.
The volume of the cuboid = length × breadth × width
19 x breadth x 16 = 5168
Breadth = 17 cm
Hence "The breadth of the cuboid will be 17 cm since the volume of the cuboid is given as length x breadth x height.".
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What are the rational numbers that are not natural or real numbers?
Examples of numbers that are rational number but not natural
-4, -5, 4/5, 0.89, 0.
Rational Numbers:
A type of real number known as a rational number is represented by the formula p/q, where q is not equal to zero. A rational number is any fraction with a non-zero denominator. 1/2, 1/5, 3/4, and other such numbers are a few examples of rational numbers. The number "0" is also a rational number because there are many ways to represent it, including 0/1, 0/2, 0/3, etc. However, since they give us infinite values, 1/0, 2/0, 3/0, etc. are illogical. Check the irrational numbers here as well and contrast them with the rational ones.
Natural Number:
All positive integers from 1 to infinity are included in the number system, which also includes natural numbers, which are also used for counting. There is no zero included (0). In fact, counting numbers are 1, 2, 3, 5, 6, 7, 8, 9, etc.
Real numbers, which only include the positive integers 1, 2, 3, 4,5, and 6, are made up of natural numbers. Negative numbers, fractions, decimals, and zero are not included.
Notably, zero and negative numbers are not considered to be natural numbers.
Few examples of numbers that are rational number but not natural
-4, -5, 4/5, 0.89, 0.
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A shoe store uses a 60% markup for all of the shoes it sells. What would be the selling price of a pair of shoes that has a wholesale cost of $55? i need the answer RN!!!!!!!
Answer: $88
x/55 is the same as 60%/1005 so 55 x 60 / 100 = 33 which is the mark up then add 55 and 33 to get the total price
Answer:
Price of shoes after markup is $88
Step-by-step explanation:
$55 + %60 markup or
55 x .60 = $33
55 + $33= $88
Solve for x
[tex]\bf 4\left(5x-2\right)=2\left(9x+3\right)[/tex]
4(5x-2) = 2(9x + 3)
distribute
20x-8 = 18x + 6
add 8 to both sides
20x = 18x + 14
subtract 18 x
2x = 14
divide by 2
x = 7
verify if true
4(5*7 - 2) = 2(9*7+3)
132 = 132
x does = 7
hope this helps
jeron
Answer:
[tex] \sf \: x = 7[/tex]
Step-by-step explanation:
Given equation,
→ 4(5x - 2) = 2(9x + 3)
Now the value of x will be,
→ 4(5x - 2) = 2(9x + 3)
→ 20x - 8 = 18x + 6
→ 20x - 18x = 6 + 8
→ 2x = 14
→ x = 14/2
→ [ x = 7 ]
Hence, the value of x is 7.
evaluate 11.1p+10.5r when p =6 and r = 7
The value of the algebraic expression 11.1p + 10.5r at p = 6 and r = 7 is 140.1
What is an algebraic expression?
Algebraic expression consists of variables and numbers connected with addition, subtraction, multiplication and division
The given algebraic expression is 11.1p + 10.5r
We have to find the value of the algebraic expression at p = 6 and r = 7
Putting x = 6 and y = 7 in the algebraic expression,
[tex]11.1 \times 6 + 10.5 \times 7[/tex]
66.6 + 73.5
140.1
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90 is 4.5% of what value?
Answer:
2000
Step-by-step explanation:
90 = 4.5% of x
90 = 0.045x
x = 90/0.045
x = 2000
Answer: 2000
What is the solution set to the equation 4(x+3)(x-2)=0
find the GCF of -10², 6x³
Answer: 2
Step-by-step explanation:
GCF is the most significant common factor of a group of numbers! In this case, 2 is the GCF!
All changes saved
6. Portia is a designer working on creating plans for the city of Geocove's new waterpark. The graph shows her plan for a waterslide for young children. The equation that represents this line is y=-1/3x+4 The s-axis represents the ground, and the graxis represents
one of the poles that will support slide
Support Pole
Ground
Each unit on each axis represents 1 foot. Suppose that a rider coming down this side has a horizontal change of 6 feet. What is the value of their vertical thange? Explain your reasoning
The value of their vertical distance at a horizontal distance of 6 feet is 2 feet
How to determine the value of their vertical distance?From the question, we have the following parameters that can be used in our computation:
The equation of the function: y = -1/3x + 4
The above equation is a linear function
A linear function is represented as
y = mx + c
Where
slope = m and y-intercept = c
From the question, we have
x-axis = ground distance
y-axis = one of the poles
When the horizontal change is 6 feet, it means that
x = 6
So, we have
y = -1/3 x 6 + 4
Evaluate the products
y = -2 + 4
Evaluate the sum
y = 2
Hence, the vertical distance is 2 feet
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is there a direct or inverse relationship between the size of the distance between the two light sources d, and the locations of the maxima y n? (15 points)
There is a inverse relationship between the size of the distance between two light sources and the locations of maxima y n.
We can relate the distance between the two light sources d and location of maxima y n by a formula:
d = nλL y n
here nλL = constant then d = constant
y n d ∝ 1 y n
As they have inverse relation.
So the if we increase the distance between the two source lights then the location of the maxima will decrease.
An inverse relationship is one in which the value of one parameter tends to decrease as the value of the other parameter in the relationship increases. It is often described as a negative relationship.
An association between two variables such that they rise and fall in value together is known as Direct relationship.
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A perfect core in bowling i 300 point. You get a perfect core if you knock down 120pin in 10 frame. What are the decimal value and the percent of the number
of pin knocked down in relation to a perfect core?
0.4 ,40% the decimal value and the percent of the number of pin knocked down in relation to a perfect core.
A decimal number is what?Every decimal is indeed a number that is divided into two parts: a whole and then a fraction. Between integer, numeric values are used to express the numerical value of complete and partially whole amounts.
Briefing:Bowling's ideal score is 300 points.
You learn down pins in 10 frames, which is 120.
Finding the decimal value and the percentage of knocked-down pins in relation to a perfect score is necessary.
120/300 pins must be known down for a perfect score.
0.4 know-down pins are required for a perfect score.
Consequently, the decimal representation of the number of pins removed in relation to a perfect score is equal to 0.
We will increase the decimal value of the number of known down pins necessary for a perfect score by 100 to determine the percentage.
Pins needed to be known down for a perfect score: 0.4% of 100
40% of pins must be known down for a perfect score.
As a result, 40% of the known down pins are necessary for a perfect score.
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PLEASE HELP! THIS IS IMPORTANT
What is the y-intercept of 7x 4y 8?
The y-intercept of any linear equation is the point where the line crosses the y-axis. The y-intercept of 7x 4y 8 is (0, -2).
We can find the y-intercept of 7x 4y 8 by setting x = 0 and solving for y.
7x 4y 8 = 0
4y = -8
y = -2
The y-intercept is (0, -2).
The y-intercept of any linear equation is the point where the line crosses the y-axis. We can find the y-intercept of 7x 4y 8 by setting x = 0 and solving for y. This gives us 4y = -8, which can be rearranged to y = -2. This means that the y-intercept of 7x 4y 8 is (0, -2).
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consider the result of a fictional stat 100 final exam taken by 120 students, as given in the following relative frequency distribution: how many students (frequency) received a result of less than 60?
The number of students which received a result of less than 60 is 42 if the result of a fictional stat 100 final exam taken by 120 students, as given in the following relative frequency distribution.
Given:
we have grade and cumulative frequency table.
The acquired data are arranged in tables using the frequency distribution method. The information may include test scores, local weather information, volleyball match results, student grades, and so forth. To facilitate understanding, data must be presented meaningfully after collection. Set up the data so that a table contains a summary of all of its characteristics. Frequency distribution is what we call this.
we are asked to find the number of students which received a result of less than 60 = ?
The frequency for the grade less than 60 is:
60 : 15%+20%
= 35%
now calculate the percentage:
35% × 120
35/100 × 120
= 7×6
= 42
Hence 42 students received less than 60.
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n a certain country, the heights and depths of a road are measured in relation to sea level. Sea level has a value of 0. The lowest point of the country lies at −8 feet. The highest point of the country lies at +107 feet. Which of the following statements best describes the lowest and the highest points?
The absolute bottom is 8 feet below ocean level, and the most noteworthy point is 107 feet above ocean level. Then the correct option is B.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
In a specific country, the levels, and profundities of a street are estimated comparable to the ocean level. The ocean level has a worth of 0. The absolute bottom of the nation lies at −8 feet. The most elevated mark of the nation lies at +107 feet.
The absolute bottom is 8 feet below ocean level, and the most noteworthy point is 107 feet above ocean level. Then the correct option is B.
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The missing option is given below.
A) The lowest point is 8 feet above sea level, and the highest point is 107 feet below sea level.
B) The lowest point is 8 feet below sea level, and the highest point is 107 feet above sea level.
C) The lowest point is 8 feet below sea level, and the highest point is 107 feet above the lowest point.
D) The lowest point is 8 feet above sea level, and the highest point is 107 feet below the lowest point.