Several years ago, the mean height of women 20 years of age or older was 63.7 inches. Suppose that a random sample of 45 women who are 20 years of age or older today results in a mean height of 64.2 inches
(a) State the appropriate null and alternative hypotheses to assess whether women are taller today.
A) H0: u = 64.2 in. versus H1: u not equal to 64.2 in.
B) H0: u = 63.7 in. versus H1: u not equal to 63.7 in.
C) H0: u = 63.7 in. versus H1: u > 63.7 in.
D) H0: u = 63.7 in. versus H1: u < 63.7 in.
E) H0: u = 64.2 in. versus H1: u > 64.2 in.
F) H0: u = 64.2 in. versus H1: u < 64.2 in.
Answers
When we're looking to evaluate whether women today are taller than they were in the past, we are trying to determine if there has been a significant increase in mean height from 63.7 inches. The appropriate null and alternative hypotheses are:
H0: u = 63.7 in. versus H1: u not equal to 63.7 in. The correct option is B) .
The null hypothesis, H0, is that there has not been a significant increase in mean height from 63.7 inches. The alternative hypothesis, H1, is that there has been a significant increase in mean height from 63.7 inches.
Note that we are testing for a two-tailed alternative hypothesis (u not equal to 63.7 in.) because we want to determine whether women today are taller or shorter than they were in the past.
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Related Questions
Clark gets a savings account that earns an interest rate of 0.5%. Clark starts with principle balance of $120. Use the equation I = prt where I = interest earning, p = principle balance, r = interest rate, and t = time in years. How much interest is earned, in dollars, when t = 10?
Answers
Clark earns $6 in interest when t = 10 years, and with principle balance of $120.
What is Interest ?When someone borrows a particular amount of money, they must pay interest. This phrase is frequently used in relation to banks, loans, payments, and investments. It is connected to the percentage, rate, and duration for which the borrowed amount of money is owed.
Using the formula I = prt, we can calculate the amount of interest earned by Clark over a period of 10 years:
I = prt
I = (0.005)(120)(10)
I = 6
Therefore, when t = 10 years, Clark earns $6 in interest.
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The perimeter of a rectangle is 130 cm. If the breadth of the rectangle is 30
cm, find its length. Also find the area of the rectangle.
Answers
Answer:
The length is 35cm and the area is 1050cm^2
Step-by-step explanation:
The perimeter of a rectangle is all of the side lengths added together. "Breadth" is your width. So 2 x 30 + 2 x some length is your perimeter. Mathematically this can be represented as:
\(60+ 2x=130\)
\(2x=70\)
\(x=35\)
For the area multiply 30 by 35
\(30*35=1050\)
And your answer for the area is in cm^2
PLEASE HELP due soon!I forgot how to do it omg
Answers
Answer:
(3, -3) is correct
Step-by-step explanation:
-4 × 3 = -12. -12 + 9 = -3
Make f the subject of the formula below
Answers
If we make f the subject of the formula, then f = (3 + 4d)/(3 + d)
We are given a formula in which d = 3(1 - f)/(f - 4). We have to make f the subject of the formula. To make a variable the subject of the formula, we isolate it to the left-hand side of the equation with no other variable written along with it.
So, in this question, we will isolate f on the left-hand side of the equation and we will make f the subject of the formula. We are given that
d = \(\frac{3(1-f)}{f - 4}\)
When we cross-multiply this equation, we get
d(f -4) = 3(1 -f)
fd - 4d = 3 - 3f
Combine all the terms having variable f to the left-hand side.
fd + 3f = 3 + 4d
f( d + 3) = 3 + 4d
f = \(\frac{(3 + 4d) }{(3 + d)}\)
Therefore, by making f the subject of the formula, we get
f = (3 + 4d)/(3 + d)
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GUYS AM I CORRECT?? I WILL MARK U BRAINLEST IF I GET IT RIGHT
Answers
Answer:
Yes you are correct.
Answer:
None of the above
Step-by-step explanation:
Your answer is correct. :)
What is 4x - 3 = -2x + 9
Answers
Answer:
the answer is x=2
Step-by-step explanation:
4x+2x=9+3
6x=12
x=2
Figure 2 shows some typical Lorenz curves. They all pass through the points (0,0) and (1, 1) and are concave upward. In the extreme case L(x) = x, society is perfectly egalitarian: the poorest a% of the population receives a % of the total income and so everybody receives the same income. The area between a Lorenz curve y - L(x) and the line y = x measures how much the income distribution differs from absolute equality. The Gini index (sometimes called the Gini coefficient or the coefficient of inequality) is the area between the Lorenz curve and the line y = x(shaded in Figure 3) divided by the area under y = x. (0.8.0.51, 1. (a) Show that the Gini index G is twice the area between the Lorenz curve and the line y = x, that is, 10.4.0.12) G=2 = 2 [[x - L(x)] dx 0 0.2 0.4 0.6 0.8 1 FIGURE 1 Lorenz curve for the US in 2010 (b) What is the value of G for a perfectly egalitarian society (everybody has the same income)? What is the value of G for a perfectly totalitarian society (a single person receives all the income?)
Answers
To summarize, a perfectly egalitarian society has a Gini index of 0, and a perfectly totalitarian society has a Gini index of 1.
The Gini index (G) measures how much the income distribution differs from absolute equality.
It is calculated as the area between a Lorenz curve y - L(x) and the line \(y = x\)divided by the area under \(y = x.\) For a perfectly egalitarian society (where everybody has the same income), the Lorenz curve is a perfect straight line, passing through points (0,0) and (1,1). Since the line y = x is the same as the Lorenz curve in this case, the Gini index (G) will be 0. This means that the income distribution is perfectly equal and that there is no inequality between individuals.On the other hand, a perfectly totalitarian society (where a single person receives all the income) will have a Gini index of 1. This means that there is a huge inequality between individuals, with the single person receiving all of the income.
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In November, Andre received a monthly salary of £2500.
Of this he spent
40% on his rent
£300 on leisure
The rest of Andre's monthly salary was spent on household bills and on food where
the amount spent on household bills: the amount spent on food-3:7
Work out how much of his November monthly salary Andre spent on food.
Answers
The amount of money from his salary Andre spent on food will be £840.
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 November, Andre received a monthly salary of £2500. Of this, he spent 40% on his rent and £300 on leisure. Then the remaining amount is calculated as,
Remaining amount = £2,500 - 0.40 x £2,500 - £300
Remaining amount = £1,200
Let 'x' be the amount spent on household bills and 'y' be the amount spent on food. Then the equation is given as,
x + y = £1,200 ...1
x / y = 3 / 7 ...2
From equations 1 and 2, then we have
(3/7)y + y = £1,200
(10/7)y = £1,200
y = £840
The amount of money from his salary Andre spent on food will be £840.
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What is the value of (2.4)3?
Answers
Answer: 7.2
Step-by-step explanation: 2.4(3) is really just 2.4 * 3 so 2.4 times 3 is 7.2.
Answer:
13.824
Step-by-step explanation:
Raise 2.4 to the power of 3.
Which of the following shows the equation below rewritten in the form ax^2+by+c=0 ? 2x^2+x+3=4(3x-5)
Answers
Step-by-step explanation:
2x^2 + x + 3 = 4(3x-5)
2x^2 + x + 3 = 12x - 20
2x^2 - 11x + 23 = 0
11y + 19x - 5y +3x= pleas e show working please
Answers
Answer:
11y + 5y = 16y and 19x + 3x= 22x so 16 y +22x is your answer
Step-by-step explanation:brainliest plzzzz
public class BinarySearch \{ public static void main(Stringll args) f int [1]yl ist ={1,2,3,7,10,12,20}; int result = binarysearch ( inylist, 20); if (result =−1 ) System, out, println("Not found:"); else System.out.println("The index of the input key is " + result+ ". "): y public static int binarysearch(int]l List, int key) \{ int low =0; int high = iist. length −1 while (high >= low) \& int mid =( low + high )/2; if (key < List [mid] high = mid −1; else if (key =1 ist [ mid ] ) return inid; else low = mid +1; return −1; // Not found \} l TASK 4: Binary Search in descending order We have learned and practiced the implementation of the binary search approach that works on an array in ascending order. Now let's think about how to modify the above code to make it work on an array in descending order. Name your new binary search method as "binarysearch2". Implement your own code in Eclipse, and ensure it runs without errors. Submit your source code file (.java file) and your console output screenshot. Hint: In the ascending order case, our logic is as follows: int mid =( low + high )/2 if ( key < list [mid] ) else if (key = ist [mid]) return mid; In the descending order case; what should our logic be like? (Swap two lines in the above code.)
Answers
The task involves modifying the given code to implement binary search on an array in descending order. The logic of the code needs to be adjusted accordingly.
The task requires modifying the existing code to perform binary search on an array sorted in descending order. In the original code, the logic for the ascending order was based on comparing the key with the middle element of the list. However, in the descending order case, we need to adjust the logic.
To implement binary search on a descending array, we need to swap the order of the conditions in the code. Instead of checking if the key is less than the middle element, we need to check if the key is greater than the middle element. Similarly, the condition for equality also needs to be adjusted.
The modified code for binary search in descending order would look like this:
public static int binarysearch2(int[] list, int key) {
int low = 0;
int high = list.length - 1;
while (high >= low) {
int mid = (low + high) / 2;
if (key > list[mid])
high = mid - 1;
else if (key < list[mid])
low = mid + 1;
else
return mid;
}
return -1; // Not found
}
By swapping the conditions, we ensure that the algorithm correctly searches for the key in a descending ordered array.
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Jones Middle School is taking a field trip to Baltimore, Maryland. Six buses will hold 150 students. How many buses will be needed if there are 283 students going on the field trip?
9 buses
10 buses
11 buses
12 buses
Answers
Explanation* 150 students/6 buses = 25 kids per bus; 25 x 11 = 275 so the answer has to be 12
100 POINTS!!!
If you give an answer saying you don’t know or an incomplete answer I will report you. Will mark brainliest to best help.
#2 Show the steps to find any asymptotes or holes in the function.
Y=(2x-3)(x+4)/(x-4)(x+4)
Answers
Answer:
Refer the attachment
Hope its helpful for you
llHappiest♡Writerll
the diagonals of a quadrilateral bisect each other at right angles. What is the quadrilateral best described as?
(a) parallelogram
(b) kite
(c) rhombus
(d) trapezium
Answers
Answer:
trapezium fit the most
Choose the expression that represents a quadratic expression. 12x4 − 2x3 5x2 − 9x − 6 2x3 5x2 − 9x − 6 12x2 8x − 1 −8x − 1.
Answers
The correct expression that represents a quadratic expression is: 12x² + 8x - 1.
What is a quadratic equation?
A quadratic equation is an algebraic expression that involves numbers and variables choosing the second degree of x.
The common standard form of a quadratic equation takes the form: ax² + bx + cTherefore, we can conclude that the correct quadratic equation from the options is 12x² + 8x - 1.
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Answer:
12x² + 8x - 1.
Step-by-step explanation:
a north carolina licence plate consists of a sequence of seven symbols: number, letter, letter, letter, number, number, number, where a letter is any one of 26 letters and a number is one among 0, 1, . . . , 9. assume that all license plates are equally liely. (a) what is the probability that all symbols are different? (b) what is the probability that all symbols are different and the first number is the largest among the numbers?
Answers
The answers to both the subparts using probability are shown:
(A) The probability that every sign is unique is 378/845.
(B) The probability that each sign is unique and that the first number is the biggest one among the others is 189/1690.
What is probability?Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or of a proposition being true.
The probability is calculated by dividing the total number of outcomes by the total number of potential events.
Odds and probability are two different concepts.
Calculating odds involves dividing the probability of an event by the probability that it won't happen.
(A) Since there are three positions for letters and four places for numbers.
Consequently, the final result will be 10⁴×26³.
Since each letter and number should be distinct, the necessary probability is:
= 10 * 9 * 8 * 7 * 26 * 25 * 24 / 10⁴ * 26³
= 378/845
(B) In this instance, the likelihood that the first number will be the greatest among the four numbers is 1/4 because it should be.
In order to obtain the result, multiply the result in (a) by 1/4 as follows:
= 378/845 * 1/4
= 189/1690
Therefore, the answers to both the subparts using probability are shown:
(A) The probability that every sign is unique is 378/845.
(B) The probability that each sign is unique and that the first number is the biggest one among the others is 189/1690.
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HELPPPPPP PLEASEeeeeeeeeeeeeee
Answers
Answer:
x > 3
Step-by-step explanation:
6x - 2 - 3x + 9 > 16
3x + 7 > 16
3x > 9
x > 3
Find the area of the shaded region in the figure below if the radius of the outer circle is 8 and the
radius of the inner circle is 2. Keep your answer in terms of it.
Answers
Answer:
outer circle=22/7×8^2
=201.143
inner circle=22/7×2^2
=12.571
shaded portion= 201.143-12.571
=188.572cm^2
Answer:
60π
Step-by-step explanation:
a volleyball has a radius of 6 inches. what is the exact value of the volume of the ball
Answers
The exact value of the volume of the volleyball with radius 6 inches is 904.32 cubic inches
What is the exact value of the volume of the ball?A volleyball has the shape of a sphere.
Volume of a sphere = 4/3πr³
Radius, r = 6 inches
π = 3.14
So,
Volume of a sphere = 4/3πr³
= 4/3 × 3.14 × 6³
= 4/3 × 3.14 × 216
= 2,712.96 / 3
= 904.32 cubic inches
Therefore, the volleyball has a volume of 904.32 cubic inches
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prove propositions 4.4 on the existence of angle bisectors. prove that the angle bisector is unique.
Answers
The angle bisector from a vertex to the opposite side of a triangle is unique. We get AD = BE by subtracting BD from both sides of AB + BD = BE.
Proposition 4.4 states that in every triangle, there exists an angle bisector from a vertex to the opposite side and the angle bisector is unique.
Proof:
Let ΔABC be the given triangle and suppose AD is the angle bisector from A to BC. To prove that AD is unique, suppose BE is another angle bisector from B to AC.
We need to show that AD = BE.
Construct the incenter I of ΔABC. Draw lines AI and BI. AI bisects ∠A and BI bisects ∠B.
So, ∠AIB = 90° + ½ ∠C (proved in proposition 4.3).
Again, ∠AIB = ∠AID + ∠BIE [angle addition property of equality]
Therefore, ∠AID + ∠BIE = 90° + ½ ∠C...(1)
Since AD is the angle bisector from A to BC, we have
∠BAD = ∠CAD
Also, BE is the angle bisector from B to AC, so
∠EB = ∠EC
Adding these two equations, we get
∠BAD + ∠EB = ∠CAD + ∠EC...(2)
Since ∠A + ∠B + ∠C = 180° (angle sum property of a triangle),
∠C/2 + ∠B/2 + ∠A/2 = 180° (angle bisector property)
Therefore, ∠A/2 + ∠B/2 = 90° - ∠C/2
So, 2∠A/2 + 2∠B/2 = 180° - ∠C...(3)
Adding equations (1), (2), and (3), we get
∠AID + ∠BIE + ∠BAD + ∠EB + 2∠A/2 + 2∠B/2 = 360° - ∠C/2 + 180° + ∠C/2 + 180° - ∠C
∠AID + ∠BIE + ∠BAD + ∠EB + ∠A + ∠B = 360°(simplifying)
Therefore,
∠AID + ∠BIE + ∠BAD + ∠EB = 180°...(4)
Now, consider ΔABD and ΔEBD.
∠ABD = ∠EBD (∵ AD and BE are angle bisectors)
∠BAD = ∠BED [from equation (2)]
Therefore, ΔABD ≅ ΔEBD (∵ SAS congruence criterion)
So, BD = BD [by CPCTC]
Thus, we get AD = BE [by subtracting BD from both sides of AB + BD = BE]
Hence, the angle bisector from a vertex to the opposite side of a triangle is unique.
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Joe is packing 1-centimeter cubes into a prism.
What is the volume of the prism?
Show your work below.
Answers
Answer:
l x b x h= 5 x 6 x 7
210cm^3
Step-by-step explanation:
(-3+4)2 distributive property and it needs to have work shown
Answers
Answer:
2
Step-by-step explanation:
PEMDAS
(-3+4)2
(1)2
2x1=2
7.5- x = 2.8
x= 4.7
x= 5.3
x= 5.7
x= 10.3
Answers
Answer:
10.3
Step-by-step explanation:
7.5+2.8=10.3
You reverse the equation. :)
Find the Average Rate of Change between the points given below.
(3, -7) and (5, 20)
Your answer:
Answers
13.5
Explanation:
The equation to find the slope (another word for the rate of change) of the line is (y2-y1)/(x2-x1) when the given points are (x1,y1) and (x2,y2).
When we plug in the given points, (3,-7) and (5,20) we can start solving.
(y2-y1)/(x2-x1)
(20-(-7))/(5-3)
Two negatives make a positive
= (20+7)/(5-3)
= 27/2
= 13.5
I hope this helps!
Express the following relationship as a rate $5.75 for 5 attempts
A.$1.15
B.$1.75
C.$1.25
D.$0.75
pls help
Answers
Answer:
C.$1.25Step-by-step explanation:
Given the price of 5 units for $5.75
The unit rate is:
$5.75 / 5 = $1.25Correct choice is C
PLZ HELP ME THANKS Solve each application using algebra. Write your equation or inequality and show your solving steps.... A 10-meter wire is cut into 2 unequal pieces. The large piece is 3 meters less than twice the smaller piece. Use algebra to determine the lengths of each piece
Answers
Answer:
4 1/3 m and 5 2/3 m
Step-by-step explanation:
smaller piece -l
large piece=2*l-3
l+2l-3=10
3l-3=10
+3 +3
3l=13
:3 :3
l=13/3=4 1/3 m
L= 2*13/3 -3=26/3-9/3=17/3=5 2/3m
Answer:
\(Small=4\frac{1}{3}\)
\(Large=5\frac{2}{3}\)
Step-by-step explanation:
Small = x
Large = 2x - 3
3x - 3 = 10
3x = 13
\(x=\frac{13}{3}\)
\(Small=\frac{13}{3}\)
\(Large=5\frac{2}{3}\)
A bar of soap with dimensions 2 x 4 x 0.5 inches is sold for $3 individually. A three-pack of the same soap costs $8. How much do you save per cubic inch of soap if you buy the three-pack
Answers
We save $0.08 per cubic inch of soap if we buy the three-pack of the same soap, using the volume.
In the question, we are informed that a bar of soap with dimensions 2 * 4 * 0.5 inches is sold for $3 individually, and a three-pack of the same soap costs $8.
We are asked how much we save per cubic inch of soap if we buy the three-pack.
The volume of one soap bar = 2 * 4 * 0.5 cubic inches = 4 cubic inches.
The cost of one soap bar = $3.
Thus, the per unit cubic inch cost of buying one soap bar = $3/4 = $0.75.
The volume of the three-pack of the same soap = 3 * the volume of one = 3*4 cubic inches = 12 cubic inches.
The cost of the three-pack of the same soap = $8.
Thus, the per unit cost of buying a three-pack of the same soap bar = $8/12 = $0.67.
Thus, the saving per cubic inch of soap if you we the three-pack = $0.75 - $0.67 = $0.08.
Thus, we save $0.08 per cubic inch of soap if we buy the three-pack of the same soap, using the volume.
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A 12-inch diameter pizza has 22 calories per square inch.
About how many calories are in the entire pizza?
Use 3.14 for pi.
Select from the drop-down menu to correctly complete the statement.
There are about
Choose...
calories in the pizza. optains : 264, 414, 2487, 9948
Answers
Answer:
2486.88
Step-by-step explanation:
Find the area of the pizza. A=πr²
the radius is half the diameter so here it's 6.
A= π6²
6²=36
36 × 3.14= 113.04
the pizza is 113.04 in². multiply that by 22.
Answer:
2487
Step-by-step explanation:
This is correct for k12 people
Tell whether the outcomes of each trial are dependent events or independent events. A letter of the alphabet is selected at random; one of the remaining letters is selected at random.
Answers
The outcomes of each trial are dependent events.
Let's discuss dependent and independent events,
Events are considered dependent if the result of one event affects the result of the other. In simpler words, the occurrence of an event will influence the likelihood of the occurrence of the other event.
Events are considered independent if the result of one event doesn't affect the result of the other. In simpler words, the occurrence of an event won't influence the likelihood of the occurrence of the other event.In this question, a letter of the alphabet is chosen at random. One of the remaining letters is selected at random. Here, the outcome of the first event influences the second event.
Thus, we can say that the outcomes of each trial are dependent events.
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