Answer:
The calculated value Z = 2.734 > 2.576 at 0.01 level of significance
Null hypothesis is rejected
The claim that 75% of adults say that it is morally wrong to report all income on tax returns.
Step-by-step explanation:
Step(i):-
Given random sample size 'n' = 745
Given In a poll of 745 randomly selected adults, 591 said that it is morally wrong to not report all income on tax returns
sample proportion
\(p^{-} = \frac{x}{n} = \frac{591}{745} = 0.7932\)
Given Population proportion P = 0.75
Q = 1-P
Q = 1 - 0.75 = 0.25
Null Hypothesis :H₀: P=0.75
Alternative Hypothesis :H₁:P≠ 0.75
Step(ii):-
Test statistic
\(Z = \frac{p^{-}-P }{\sqrt{\frac{P Q}{n} } }\)
\(Z = \frac{0.7932-0.75 }{\sqrt{\frac{0.75 X 0.25}{745} } }\)
Z = 2.734
Level of significance ∝ = 0.01
The critical value Z =2.576
The calculated value Z = 2.734 > 2.576 at 0.01 level of significance
Null hypothesis is rejected
The claim that 75% of adults say that it is morally wrong to report all income on tax returns.
A local sorority sold hot dogs and bratwursts at the spring fling picnics. The first day they sold 8 dozen hotdogs and 13 dozen bratwursts for $330.00. The second day they sold 10 dozen hot dogs and 15 dozen bratwursts for a total of $390.00 how much did each cost?
Answer:
Hotdogs are $12.00 for the dozen or $1.00 each
Bratwursts are $18.00 for the dozen or $1.50 each
Step-by-step explanation:
Question 2 (SO 1. AC 2) Palesa took out an insurance policy for her new Mercedes ben c200. The retail value for the car is R200 000 The excess on the policy is R4500. unfortunately Palesa was involved in an accident and the cost of the accident was R4000. How much can she recover from insurance
She can recover R 90 from insurance.
What is Ratio?A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.
Given:
The retail value for the car is R200,000.
The excess on the policy is R4500.
So, the Excess ratio = 4500 / 200000
= 2.25%
So, she can recover = 4000 x 2.25
= 90
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Question 1 of 8
Which of the following are good questions to ask when trying to understand a
problem? Check all that apply.
A. Does my guess satisfy the equation?
B. Is the variable always positive, negative, or either?
C. How should I present the solution?
D. What is the variable?
E. What is a logical name for the variable?
F. What are the units of the variable?
Answer:
A, C,D,E,F
Step-by-step explanation:
What is 2,443,802,280 rounded to the nearest ten million
Answer:2,440,000,000
Step-by-step explanation:
if x=3, what is Y?
x= -3,0,3,6
y= -5,-4,-3,-2
Answer:
If x = 3, then y = -2 since the corresponding value of y for x=3 is -2 in the given table.
Step-by-step explanation:
Jerrica and her brother like to play chess. About a month ago they decided to keep track of how manygames they have won. As of today, Jerrica has won 20 out of the 35 games against her brother.
a. How many games would Jerrica have to win in a row in order to have an 80% winning record?
Justify your answer.
Jerrica would have to win 40 additional games in a row to have an 80% winning record. This would bring her total wins to 20 + 40 = 60, and her total games played to 35 + 40 = 75.
To determine how many games Jerrica would have to win in a row in order to have an 80% winning record, we need to calculate the number of games she needs to win out of a certain total.
Let's denote the number of games she needs to win in a row as x. If she wins x additional games, her total wins would be 20 + x, and her total games played would be 35 + x.
To have an 80% winning record, she would need to win 80% of the total games played. Mathematically, this can be expressed as:
(20 + x) / (35 + x) = 80 / 100
Cross-multiplying, we get:
100(20 + x) = 80(35 + x)
Expanding and simplifying:
2000 + 100x = 2800 + 80x
Subtracting 80x from both sides:
20x = 800
Dividing by 20:
x = 40
Jerrica would have to win 40 additional games in a row to have an 80% winning record. This would bring her total wins to 20 + 40 = 60, and her total games played to 35 + 40 = 75.
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HELP FATS PLEASE
WILL MARK BRAINLEYST
HOW TO STEP BY STEP SOLVE THIS
Answer:
Step-by-step explanation:
(y+2)'2-5=20
(y+2)'2=15
y·y+4=15
y·y=11
y=11y
y=5.5
What is the volume of the shape below
The volume of the given figure is 1176 cubic cm.
The value of the figure is calculated by multiplying all three side areas. Volume is a measure of the amount of space that an object or a substance occupies. It is typically expressed in cubic units such as cubic meters (m³), cubic centimetres (cm³), or cubic feet (ft³).
The volume of the figure is calculated as,
Volume = 2 ( 15 x 6 + 20 x 6 + 20 x 18 )
Volume = 1176 Cubic cm
Hence, the volume of the figure will be equal to 1176 Cubic cm.
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I need help solving this please
Answer fast pls 40 points
Answer: conners work is correct
Step-by-step explanation:
name the highlighted angle
Answer:
<RST
Step-by-step explanation:
Make sure the vertex is in the middle
Coins are placed into a treasure chest, and each coin has a radius of 1.4 inches and a height of 0.0625 inches. If there are 230 coins inside the treasure chest, how many cubic inches of the treasure chest is taken up by the coins? Round to the nearest hundredth and approximate using π =3.14
A: 0.38 in²
B: 126.39 in³
C: 353.88 in³
D: 88.47 in³
The total volume taken by the coins is 88.47 cubic inches, so the correct option is D.
How many cubic inches are taken up by the coins?The coins are cylinders with a radius of 1.4 inches and a height of 0.0625 inches.
Remember that the volume of a cylinder is given by:
volume = (height)*pi*(radius)^2
Where pi = 3.14
Then here the volume of each coin is:
V = (0.0625 in)*3.14*(1.4 in)^2 = 0.384 in³
And there are 230 coins, so the total volume is:
V = 230*0.384 in³ = 88.47 in³
So the correct option is D.
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Answer: D: 88.47 in³
Step-by-step explanation: So what you want to do is first find the individual volume of the coins. Use the volume formula: V = πr^2h
Take 1.4 and times it by itself
1.4 x 1.4 = 1.96
Now multiply 1.96 by 0.0625
1.96 x 0.0625 = 0.1225
And times 0.1225 by pi, or in this case, 3.14
0.1225 x 3.14 = 0.38465
Now you have found the individual volume of each coin. You are trying to find how much space all of the coins take up together. The question says that there is 230 coins in total. So times 0.38465 by 230 to find how much space all the coins take up.
0.38465 x 230 = 88.4695 in³
Now round it to the nearest hundredth: 88.47 in³
That is your answer.
Also I took the same test and I picked 88.47 inches cubed and got it right.
Proof:
Have a good day :)))
graph the function f(x)=3/2(x-4)^2+3
Answer:
its 23
Step-by-step explanation:
if the letter l,o,g,ic are randomnly arranged to form word logic what is the probability that result will be woord logic
The probability of randomly forming the word "woord logic" is:Probability = 1 / (10! / (2!))
To calculate the probability of forming the word "woord logic" by randomly arranging the letters l, o, g, i, c, we need to consider the total number of possible arrangements and the number of arrangements that result in the desired word.
The word "woord logic" has 10 letters in total. Among these letters, there are 2 o's and the remaining letters appear only once.
The total number of possible arrangements is given by the factorial of the total number of letters:
Total arrangements = 10!
However, since the letter "o" appears twice, we need to divide by the factorial of the number of repeated letters:
Total arrangements = 10! / (2!)
To calculate the number of arrangements that result in "woord logic," we consider that the arrangement of "woord logic" is unique and distinct. Thus, there is only one arrangement that matches the desired word.Simplifying this expression would yield the exact probability.
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an employer agrees to pay $5,000 for medical insurance and contribute an additional 5% of the employees'
Answer: $5,250
Step-by-step explanation:
1) Half of 5000 is 2500. But that's 50%.
2) Divide the remaining value by 10. You now have 250, which is 5%.
It's a given rule in math that if you're working with the Powers of 10, by either multiplying or dividing them, all you need to do is add or remove some zeros.
PLEASE HURRY 100P I REALLY NEED THIS!!!!!
The range of the data is 30, and the interquartile range (IQR) is 15.
To create a box plot using the given data, we first need to determine the five-number summary, which includes the minimum value, the first quartile (Q1), the median (Q2), the third quartile (Q3), and the maximum value.
From the given data, we can determine the five-number summary as follows:
Minimum: 60
Q1: 70
Median (Q2): 80
Q3: 85
Maximum: 90
Now, let's create a box plot using this information:
```
| | | | |
60 |––––––––|––––––––| |
| | | | |
70 |––––––––|––––––––|––––––––|––––––––|
| | | | |
80 |––––––––|––––––––|––––––––|––––––––|
| | | | |
90 |––––––––|––––––––| |
| | | | |
------------------------------------
60 70 80 90
```
In the box plot, the line within the box represents the median (Q2), the box represents the interquartile range (IQR) from Q1 to Q3, and the lines extending from the box (whiskers) represent the minimum and maximum values. Any data points falling outside the whiskers would be considered outliers.
The range can be calculated as the difference between the maximum and minimum values:
Range = Maximum - Minimum = 90 - 60 = 30
The interquartile range (IQR) is the difference between the third quartile (Q3) and the first quartile (Q1):
IQR = Q3 - Q1 = 85 - 70 = 15
Therefore, the range of the data is 30, and the interquartile range (IQR) is 15.
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100 points if you answer - if it's correct ill give brainliest
(01.04 MC)The elevation of city A is 60 feet above sea level; the elevation of city C is 12 feet above sea level. The elevation of city D is 1 over 2 of the elevation of city C.
Part A: Write an expression to represent the elevation, in feet, of city D. (5 points)
Part B: Solve the expression and explain why the answer is negative or positive. (5 points)
Answer & Step-by-step explanation:
A = 60 ft
C = 12
D = 1/2 of C
1/2 of 12 = 6
Part A:
e = 6ft
Part B:
It's positive because it is above sea level
Answer:
Step-by-step explanation:
gg I got the points
An English instructor asserted that students' test grades are directly proportional to the amount of time spent studying.
Lisa studies 6 hr for a particular test and gets a score of 76. At this rate, how many hours would she have had to
study to get a
score of 91?
Answer:
7.18421051
Step-by-step explanation:
76 ÷ 6 = 12.6666667
91 ÷ 12.6666667 = 7.18421051
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HELP ME PLEASE !!!!!!
Answer:
A
Step-by-step explanation:
The answer is (a) because that value is the y intercept meaning that it will be the value for price at the beginning of the time frame... in this case in January 2013 which is the beginning of the year.
Hope you find this helpful.
Look at the image, help !
Answer:
5/9
10/36 + 10/36 = 20/36 which reduces to 5/9
Step-by-step explanation:
ODD
1,2
1,4
1,6
2,1
4,1
6,1
2,3
3,2
2,5
5,2
10/36
GT 7 (excluding gt 7 and odd)
2,6
3,5
4,6
4,5
5,5
5,6
6,6
6,4
6,5
6,2
10/36
Ms Greene class has two chameleons. Lumpy total length is 12 inches and Larry is 6 inches. Each of their fails is twice as long as its body. How long is lumpy tail
Which of the following describe(s) petroleum formation? (Select all that apply.)
*
1 point
a. When dinosaurs became extinct 65 million years ago, their bodies decayed to become petroleum.
b. Petroleum is renewable over human lifetimes.
c. It takes hundreds of millions of years for petroleum to form.
d. Petroleum formed in cold places.
petroleum formation happens When dinosaurs became extinct 65 million years ago, their bodies decayed to become petroleum.
What is decomposition?Dead creatures are broken down into their basic chemicals through the process of decomposition by bacteria and fungus. The cycle can be completed by plants absorbing and using these substances once again. Because of how they decompose dead organic stuff, decomposing bacteria and fungus are referred to be saprophytic.
Oil and gas are created from organic material that has been decomposed and altered over millions of years, mostly as sediments on the seafloor.
Fuels known as petroleum products are created from crude oil and the hydrocarbons found in natural gas. Coal, natural gas, and biomass can also be used to make petroleum products.
Plant and animal remains are used to create petroleum. Animals and plants that pass away sink and land on the seafloor. These extinct animals and plants decayed millions of years ago and mingled with sand and silt.
Therefore, we can say Petroleum is produced. Dinosaurs became extinct 65 million years ago, and when their corpses decomposed, petroleum was created. Petroleum doesn't form until hundreds of millions of years. Oil was created in chilly climates.
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what are some ways customers could get in financial trouble with credit cards? write in sentence or paragraph form
Answer:
the ways customers could get in financial trouble with thier credit cards are:
The Allure of Excessive Spending Interst Makes Paying Off the Balance Difficult. There's a chance you'll end up in debt.
You run the risk of damaging your credit score.
Minimum payments can give the impression of safety.
Credit Card Terms Can Be Confusing.
It's more difficult to keep track of spending, especially
when using multiple credit cards.
Step-by-step explanation:
-
Amy and Zach each have 24 feet of fencing for their rectangular gardens. Amy makes her fence 6 feet long. Zach makes his fence 8 feet long. Whose garden has the greater area? How much greater?
Answer:
Amy by 4 feet
Step-by-step explanation:
Look above for explanation
Use the definition to calculate the derivative of the following function. Then find the values of the derivative as specified.
Answer:
Refer to the step-by-step explanation, please follow along very carefully. Answers are encased in two boxes.
Step-by-step explanation:
Given the following function, find it's derivative using the definition of derivatives. Evaluate the function when θ=1, 11, and 3/11
\(p(\theta)=\sqrt{11\theta}\)
\(\hrulefill\)
The definition of derivatives states that the derivative of a function at a specific point measures the rate of change of the function at that point. It is defined as the limit of the difference quotient as the change in the input variable approaches zero.
\(f'(x) = \lim_{{h \to 0}} \dfrac{{f(x+h) - f(x)}}{{h}}\)\(\hrulefill\)
To apply the definition of derivatives to this problem, follow these step-by-step instructions:
Step 1: Identify the function: Determine the function for which you want to find the derivative. In out case the function is denoted as p(θ).
\(p(\theta)=\sqrt{11\theta}\)
Step 2: Write the difference quotient: Using the definition of derivatives, write down the difference quotient. The general form of the difference quotient is (f(x+h) - f(x))/h, where "x" is the point at which you want to find the derivative, and "h" represents a small change in the input variable. In our case:
\(p'(\theta) = \lim_{{h \to 0}} \dfrac{{p(\theta+h) - p(\theta)}}{{h}}\\\\\\\Longrightarrow p'(\theta)= \lim_{h \to 0} \dfrac{\sqrt{11(\theta + h)} - \sqrt{11\theta} }{h}\)
Step 3: Take the limit:
We need to rationalize the numerator. Rewriting using radical rules.
\(p'(\theta)= \lim_{h \to 0} \dfrac{\sqrt{11(\theta + h)} - \sqrt{11\theta} }{h} \\\\\\\Longrightarrow p'(\theta)= \lim_{h \to 0} \dfrac{\sqrt{11\theta + 11h} - \sqrt{11\theta} }{h}\\\\\\\Longrightarrow p'(\theta)= \lim_{h \to 0} \dfrac{\sqrt{11}\sqrt{\theta+h} - \sqrt{11}\sqrt{\theta} }{h}\)
Now multiply by the conjugate.
\(p'(\theta)= \lim_{h \to 0} \dfrac{\sqrt{11}\sqrt{\theta+h} - \sqrt{11}\sqrt{\theta} }{h} \cdot \dfrac{\sqrt{11}\sqrt{\theta+h} + \sqrt{11}\sqrt{\theta} }{\sqrt{11}\sqrt{\theta+h} + \sqrt{11}\sqrt{\theta} } \\\\\\\Longrightarrow p'(\theta)= \lim_{h \to 0} \dfrac{(\sqrt{11}\sqrt{\theta+h} - \sqrt{11}\sqrt{\theta} )(\sqrt{11}\sqrt{\theta+h} + \sqrt{11}\sqrt{\theta} )}{h(\sqrt{11}\sqrt{\theta+h} + \sqrt{11}\sqrt{\theta} )} \\\\\\\)
\(\Longrightarrow p'(\theta)= \lim_{h \to 0} \dfrac{11h}{h(\sqrt{11}\sqrt{\theta+h} + \sqrt{11}\sqrt{\theta} )}\\\\\\\Longrightarrow p'(\theta)= \lim_{h \to 0} \dfrac{11}{\sqrt{11}\sqrt{\theta+h} + \sqrt{11}\sqrt{\theta} }\)
Step 4: Simplify the expression: Evaluate the limit by substituting the value of h=0 into the difference quotient. Simplify the expression as much as possible.
\(p'(\theta)= \lim_{h \to 0} \dfrac{11}{\sqrt{11}\sqrt{\theta+h} + \sqrt{11}\sqrt{\theta} }\\\\\\\Longrightarrow p'(\theta)= \dfrac{11}{\sqrt{11}\sqrt{\theta+(0)} + \sqrt{11}\sqrt{\theta} }\\\\\\\Longrightarrow p'(\theta)= \dfrac{11}{\sqrt{11}\sqrt{\theta} + \sqrt{11}\sqrt{\theta} }\\\\\\\Longrightarrow p'(\theta)= \dfrac{11}{2\sqrt{11}\sqrt{\theta} }\\\\\\\Longrightarrow p'(\theta)= \dfrac{11}{2\sqrt{11\theta} }\\\\\\\Longrightarrow p'(\theta)= \dfrac{11}{2\sqrt{11\theta} }\)
\(\therefore \boxed{\boxed{p'(\theta)= \dfrac{\sqrt{11} }{2\sqrt{\theta} }}}\)
Thus, we have found the derivative on the function using the definition.
It's important to note that in practice, finding derivatives using the definition can be a tedious process, especially for more complex functions. However, the definition lays the foundation for understanding the concept of derivatives and its applications. In practice, there are various rules and techniques, such as the power rule, product rule, and chain rule, that can be applied to find derivatives more efficiently.\(\hrulefill\)
Now evaluating the function at the given points.
\(p'(\theta)= \dfrac{\sqrt{11} }{2\sqrt{\theta}}; \ p'(1)=??, \ p'(11)=??, \ p'(\frac{3}{11} )=??\)
When θ=1:
\(p'(\theta)= \dfrac{\sqrt{11} }{2\sqrt{\theta}}\\\\\\\Longrightarrow p'(1)= \dfrac{\sqrt{11} }{2\sqrt{1}}\\\\\\\therefore \boxed{\boxed{p'(1)= \dfrac{\sqrt{11} }{2}}}\)
When θ=11:
\(p'(\theta)= \dfrac{\sqrt{11} }{2\sqrt{\theta}}\\\\\\\Longrightarrow p'(11)= \dfrac{\sqrt{11} }{2\sqrt{11}}\\\\\\\therefore \boxed{\boxed{p'(11)= \dfrac{1}{2}}}\)
When θ=3/11:
\(p'(\theta)= \dfrac{\sqrt{11} }{2\sqrt{\theta}}\\\\\\\Longrightarrow p'(\frac{3}{11} )= \dfrac{\sqrt{11} }{2\sqrt{\frac{3}{11} }}\\\\\\\therefore \boxed{\boxed{p'(\frac{3}{11} )= \dfrac{11\sqrt{3} }{6}}}\)
Thus, all parts are solved.
Suppose a force of 100 newtons is used to push an object a distance of 5.0 meters in 15 seconds. Find the work done and the power for this situation.
work=force* distance
=100*5
=500 joules
=500/15
=33.33 Watts.
Is this statement true or false:
a - b = b - a
True
False
Answer:
False
Step-by-step explanation:
positive A and negative B does not equal positive B and negative A
Answer:
FALSE
Step-by-step explanation:
A net force of 66 N accelerates a child at 2.0m/s 2 down a smooth playground slide what is the mass of the child?
A-130 kg
B-68 kg
C- 64 kg
D-33 kg
To solve the problem we must know about Force.
What is Force?A force is given as the product of mass and acceleration.
\(\rm{Force = mass\times acceleration\)
What is Acceleration?Acceleration is the rate of change of velocity per unit time. It is given as,
\(\rm{ Acceleration = \dfrac{v-u}{t}\)
The mass of the child is 33 kg.
Explanation
Given to us
Force= 66 N,acceleration = 2.0 m/sMass of the child\(\rm{Force = mass\times acceleration\)
\(66\ N = mass \times 2\\\dfrac{66}{2}= mass\\mass =\dfrac{66}{2}\\\\mass= 33\ kg\)
Hence, the mass of the child is 33 kg.
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Find the perimeter of the following shape:
Q. What is 40% of 230?
Answer:
Its 92 :D
Step-by-step explanation:
Answer: 92
Step-by-step explanation: