a newsletter publisher believes that 63c% of their readers own a personal computer. is there sufficient evidence at the 0.100.10 level to refute the publisher's claim? state the null and alternative hypotheses for the above scenario.
Answers
The significance level of 0.10 indicates that we are willing to accept a 10% chance of making a type I error, which is rejecting the null hypothesis when it is actually true.
To determine whether there is sufficient evidence to refute the publisher's claim that 63% of their readers own a personal computer, we need to conduct a hypothesis test.
The null hypothesis (H0) is the assumption that the publisher's claim is true, meaning that 63% of their readers own a personal computer. The alternative hypothesis (Ha) is the assertion that the publisher's claim is false, meaning that less or more than 63% of their readers own a personal computer.
Using symbols, we can state the hypotheses as follows:
H0: p = 0.63 (where p is the proportion of readers who own a personal computer)
Ha: p ≠ 0.63 (the publisher's claim is false)
To test these hypotheses, we need to collect a sample of readers and determine the proportion of them who own a personal computer. We can then use a statistical test, such as a z-test or a t-test, to determine how likely it is that our sample proportion is significantly different from the claimed proportion of 63%.
The significance level of 0.10 indicates that we are willing to accept a 10% chance of making a type I error, which is rejecting the null hypothesis when it is actually true. If our statistical test results in a p-value less than or equal to 0.10, we would reject the null hypothesis and conclude that there is sufficient evidence to refute the publisher's claim. If the p-value is greater than 0.10, we would fail to reject the null hypothesis and conclude that there is not enough evidence to refute the publisher's claim.
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Related Questions
At a butcher shop, Hilda bought 6 9/20 lb of beef and some pork. She left with 17 17/25 lb of meat. Express the number of pounds of pork she bought using a decimal.
Answers
Answer:
56.15
Step-by-step explanation:
First, convert \(6\frac{9}{20}\) lbs to a decimal. Multiply the main number (6) by the denominator (20) and then add that number to the numerator (9). The number you will get will be (6 x 20)+9 = 129. 129 is now the new numerator as an improper fraction so the improper fraction is now \(\frac{129}{20}\).
Now make \(17\frac{17}{25}\) lbs an improper fraction. It would be \(\frac{442}{25}\).
Now subtract the amount of pork from the total amount of meat. \(\frac{442}{25}\) - \(\frac{129}{20}\) . Find a common denominator. I'm going to use 500, although there might be something less.
\(\frac{5615}{100}\) is the result. Now you can either start dividing or simplify the fraction, which hopefully you already know how to do. 5615 ÷ 100 = 56.15
Really hope this helped, I tried explaining well! Ask more questions if you need!
a delivery man starts at the post office, drives 20 km north, then 25 km west, then 45 km northeast, and finally 45 km north to stop for lunch. use a graphical method to find his net displacement vector. (enter the magnitude in kilometers and the direction in degrees counterclockwise from the east axis.)
Answers
The magnitude of the net displacement vector is 134.47 km, and its direction is 73.35 degrees counterclockwise from the east axis.
1. Driving 20 km north: This can be represented as a vector (0, 20) since it is a purely vertical movement.
2. Driving 25 km west: This can be represented as a vector (-25, 0) since it is a purely horizontal movement.
3. Driving 45 km northeast: This can be represented as a vector (d, d) where d represents the distance traveled in a diagonal direction.
Using Pythagorean theorem since it forms a right triangle.
d = √((45²) + (45²)) ≈ 63.64 km.
Thus, the vector representation is (63.64, 63.64).
4. Driving 45 km north: This can be represented as a vector (0, 45) since it is a purely vertical movement.
Now, we can add these vectors together to find the net displacement vector:
Net Displacement = (0, 20) + (-25, 0) + (63.64, 63.64) + (0, 45)
Net Displacement = (0 - 25 + 63.64 + 0, 20 + 0 + 63.64 + 45)
Net Displacement = (38.64, 128.64)
The magnitude of the net displacement vector can be found using the Pythagorean theorem:
Magnitude = √38.64² + 128.64² ≈ 134.47 km
The direction of the net displacement vector can be found using trigonometry.
Angle = atan2(128.64, 38.64) ≈ 73.35 degrees
Therefore, the magnitude of the net displacement vector is 134.47 km, and its direction is 73.35 degrees counterclockwise from the east axis.
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I need help I'm confused
Answers
Answer:
it's a square so all 4 sides of perimeter equal 12 while every inside line is 6 sqrt/2
Step-by-step explanation:
there's triangles in the square that are symmetrical so each triangle has the same sides so using pythagorean theorem 6sqrt/2 ^2 + 6sqrt/2 ^2 = sqrt/C and C=12
Anyone know how to solve this !!
Answers
Answer:
It's 60
Step-by-step explanation:
All triangles angles have to add up to 180 degrees. 60 plus 60 plus 60 is `80.
Answer:
C. 120°
Step-by-step explanation:
Just by looking at it, you can see that it is over 90° which automatically makes it not 60° and your only option left is 120°
Names of TV shows taped in New York are an example of which type of data? Answer a. Qualitative b. Statistic c. Quantitative d. Parameter
Answers
Option (A) Names of TV shows taped in New York are an example of qualitative data. Qualitative data is descriptive in nature and does not involve numerical values or measurements.
It deals with qualities or attributes that cannot be expressed numerically. In this case, the names of TV shows are characteristics that describe the nature of the data. Quantitative data, on the other hand, is numerical data that can be measured and expressed in numbers. A parameter is a measurable factor or variable that can be used to define a system, while statistics is a branch of mathematics that deals with data collection, analysis, and interpretation. In conclusion, since the names of TV shows are descriptive in nature and do not involve numerical values, they are an example of qualitative data.
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Please help I actually need that help ASAP please ASAP ASAP
Answers
Answer:
5.87
Step-by-step explanation:
I figured it out. Do 10 x sin (36) to get the answer. I would explain, but it's kinda of hard to in this case.
Inventory is valued on the basis of equivalent units of inventory i.e. 2 x 500 ml ice cream are valued the same as a 1 litre of ice cream. Variable overheads vary with direct labour hours. Fixed overheads are allocated to products on the number of litres of ice cream produced (all ice cream irrespective of the size of the output).
500ml 1 litre
Sale price of the containers R10 R15
Expected inventories (units) 500ml 1 litre
Opening inventory 50 80
Closing inventory 70 170
Required:
1. Prepare a sales budget for the company in both litres and rands.
Answers
Fixed overheads are allocated to products on the number of litres of ice cream produced, irrespective of the size of the output. Liters Rands Expected Sales :500 ml ice cream = 60,000 litres
= 60,000 x R10
= R 600,0001 litre
ice cream = 80,000
litres = 80,000 x R 15 = R1,200,000
Total expected sales volume 140,000 litres R1,800,000 . From the given question, we are told that inventory is valued on the basis of equivalent units of inventory. Which means that two 500ml of ice cream is valued the same as one litre of ice cream. We are also told that variable overheads vary with direct labour hours. Fixed overheads are allocated to products on the number of litres of ice cream produced, irrespective of the size of the output.
Using this information we can prepare a sales budget for the company by estimating the sales volume in litres for each of the two sizes of ice cream containers and multiplying the sales volume by the respective sale price of each size. Since the number of litres is used to allocate fixed overheads, it is necessary to prepare the budget in litres as well. The total expected sales volume can be calculated by adding up the expected sales volume of the two sizes of ice cream products. The expected sales volume of 500 ml ice cream is 60,000 litres (500 ml x 0.12 million) and the expected sales volume of 1 litre ice cream is 80,000 litres (1 litre x 0.08 million). Adding up the two volumes, we get a total expected sales volume of 140,000 litres.
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five chickes eat 10 bags of scratch in 20days. How long does it take 18 chickens to eat100 bags of scratch
Answers
Answer:
You can use logic and proportion here
Step-by-step explanation:
10 bags ---> 20 days
∴ 100 bags ---> 20 days x \(\frac{100 bags}{10bags}\)
---> 20 days x 10
----> 200 days
The elongation α
of a planet is the angle formed by the planet, earth, and sun. it is known that the distance from the sun to venus is 0.723au
(see exercise 65 in section 6.2 ). at a certain time the elongation of venus is found to be 39.4∘.
find the possible distances from the earth to venus at that time in astronomical units (au).
Answers
The distance from the earth to venus is an illustration of the sine ratio
The distance from the earth to venus at that time is 1.12 au
How to determine the possibe distance?See attachment for the diagram that illustrates the complete question.
Start by calculating the angle V using the following sine ratio
SE/sin(V) = VS/sin(E)
This gives
1/sin(V) = 0.723/sin(39.4)
Take the inverse of both sides
sin(V)/1 = sin(39.4)/0.723
Evaluate the quotient
sin(V) = 0.8779
Take the arcsin of both sides
V = 61.4
Calculate the measure of angle S
<S + <V + <E = 180
This gives
<S = - <V - <E + 180
Substitute known values
<S = -61.4 - 39.4 + 180
<S = 79.2
The distance (VE) is then calculated using the following sine ratio
VE/sin(S) = VS/sin(E)
This gives
VE/sin(79.2) = 0.723/sin(39.4)
Multiply bot sides by sin(79.2)
VE = sin(79.2) * 0.723/sin(39.4)
Evaluate the product
VE = 1.12
Hence, the distance from the earth to venus at that time is 1.12 au
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Let x be an integer. Prove that if x is not divisible by 3, then
(x + 1)(x + 2) is divisible by 3
Answers
Answer:
(x + 1)(x + 2) is divisible by 3.
Step-by-step explanation:
Assume that x is not divisible by 3. This means that x can be expressed as x = 3k + r, where k is an integer and r is the remainder when x is divided by 3. Since x is not divisible by 3, the remainder r must be either 1 or 2.
Case 1: r = 1
If r = 1, then x = 3k + 1. Now let's consider (x + 1)(x + 2):
(x + 1)(x + 2) = (3k + 1 + 1)(3k + 1 + 2)
= (3k + 2)(3k + 3)
= 3(3k^2 + 5k + 2)
We can see that (x + 1)(x + 2) is divisible by 3.
Case 2: r = 2
If r = 2, then x = 3k + 2. Now let's consider (x + 1)(x + 2):
(x + 1)(x + 2) = (3k + 2 + 1)(3k + 2 + 2)
= (3k + 3)(3k + 4)
= 3(3k^2 + 7k + 4)
We can see that (x + 1)(x + 2) is divisible by 3.
Hence, the statement is proven.
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Let X be a continuous random variable rv distributed via the pdf f(x) =4e^(-4x) on the interval [0, infinity].
a) compute the cdf of X
b) compute E(X)
c) compute E(-2X)
d) compute E(X^2)
Answers
The cumulative distribution function (CDF) of X is\(F(x) = 1 - e^(-4x).\)
The cumulative distribution function (CDF) of a continuous random variable X gives the probability that X takes on a value less than or equal to a given value x. In this case, the CDF of X, denoted as F(x), is calculated as 1 minus the exponential function \(e^(-4x)\). The exponential term represents the probability density function (PDF) of X, which is given as \(f(x) = 4e^(-4x)\). By integrating the PDF from 0 to x, we can obtain the CDF.
The cumulative distribution function (CDF) is a fundamental concept in probability theory and statistics. It provides a way to characterize the probability distribution of a random variable by indicating the probability of observing a value less than or equal to a given value. In this case, the CDF of X allows us to determine the probability that X falls within a certain range. It is particularly useful in calculating probabilities and making statistical inferences based on continuous random variables.
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12x - 5 - 7x - 2 solution
Answers
Answer:
The simplified form is 5x-7 since there's no equals sign.
Step-by-step explanation:
12x-5-7x-2
Then, I combined like variables and got 5x-7.
Sam needs 2/5 pound of turkey to make one sandwich he is going to make 7 sandwiches how many pounds of turkey does he need
Answers
If Sam needs 2/5 pound turkey to make one sandwich, then to make 7 sandwiches, he will need:
(2/5) x 7 = (2 x 7)/5 = 14/5 = 2.8 pounds of turkey
Therefore, Sam needs 2.8 pounds of turkey to make 7 sandwiches.
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What is the slope of a line parallel to the line whose equation is 9x-3y=-54
Answers
3y = 9x + 54
y = 3x + 18
Parallel = same slope
The slope is 3
Answer:
21
Step-by-step explanation:
subtract 9 on both sides to make your x axis by itself
y=mx+b
since -3y and -63 will cancel out each other and make a positive when you divide
-3y /63
y=21
also your when the x is alone it is always 1
rise
-------
run
An investment of 4,000 earns 2% interest compounded annually. What will be value of the investment in 7 years
Answers
Start with your exponetial growth formula: y = a(1 + r)^t.
Now, a is going to be your initial amount, r is the rate, and t is the time.
So we have y = $4,000(1 + .02)^7.
Now simplify inside the parenthses first.
So we have y = $4,000(1.02)^7.
Simplifying further gives us y = $4,000(1.14868).
Now use a calculator to get y = $4,594.72
An oil well has been drilled and completed. The productive zone has been encountered at a depth of 7815-7830 feet. The log analysis showed an average porosity of 15% and an average water saturation of 35%. The oil formation volume factor is determined in the laboratory to be 1.215 RB/STB. Experience shows other reservoirs of about the same properties drain 80 acres with a recovery factor of 12%. Compute the OOIP and the ultimate oil recovery. If after 5 years of production, only 5% of the reserve has been produced. What is the amount of reserve still left in place.
Answers
The amount of reserve still left in place after 5 years of production is 8,650,116.46 STB.
Percentage of reserve left in place = 95%OOIP (Original Oil in Place) is the volume of oil present in a reservoir before production, which can be calculated using the given information as follows:
Area of the reservoir = π/4 × (rod length)²
= π/4 × (15,405)
= 19,265,400 ft² = 443.6 acres
Drainage area is 80 acres, so the portion of the reservoir that contributes to production = 80/443.6
= 0.1803 of the reservoir or (1/0.1803 = 5.54) times the given volume of oil.
Estimated ultimate recovery factor (EUR) = Recovery factor × Drainage area
= 12% × 80 acres
= 9.6 acres or 0.0220 of the reservoir or (1/0.0220 = 45.45) times the given volume of oil.
The formula to calculate the original oil in place (OOIP) is:
OOIP = (7758 × A × h × φ × (1-Sw))/B
Where A = Area (acres)h = Net thickness (feet)
φ = Porosity (decimal)
Sw = Water saturation (decimal)
B = Formation volume factor (reservoir barrels per stock tank barrel)
Substituting the given values in the above formula:
OOIP = (7758 × 80 × (7815-7830) × 0.15 × (1-0.35))/1.215OOIP
= 9,105,385.46 STB
Now, the ultimate oil recovery can be calculated by multiplying OOIP by EUR.
Ultimate oil recovery = OOIP × EUR
= 9,105,385.46 × 0.0220
= 200,318.48 STB
After 5 years of production, the oil that has been produced is:
5% of OOIP = 0.05 × 9,105,385.46
= 455,269 STB
The amount of reserve still left in place after 5 years of production is 8,650,116.46 STB.
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what is the answer! i need it nowww !
2+2(6x-3)=10x+ negative4
Answers
Cuál lugar es más burro tu eres más burro no importa para nada se espera nada escapes burro no sirve para nada x musique
Answers
Answer:
no se perdon
Step-by-step explanation:
GG
Answer:
Step-by-step explanation:
Find tan a Picture included
Answers
Answer:
5/12
Step-by-step explanation:
We know its a right angled triangle because of phythogorean theorem,
h^2=p^2+b^2
Take angle A as reference,
13^2=12^2+5^2
or,169=144+25
169=169
Now,
We know,
Tanx=p/b
As we took angle A as reference,
p=5
b=12
h=13
Put that in tanx=p/b
We get,
tanx=p/b=5/12
Answer:
Step-by-step explanation:
\(tan \ A = \frac{opposite \ side}{adjacent \ side}\\\\tan \ A = \frac{5}{12}\)
suppose aaron finds that the correlation between students' level of optimism and their scores on an exam is –.68. this correlation indicates which of the following?
Answers
This correlation indicates that there is a strong negative relationship between students' level of optimism and their scores on the exam.
This correlation indicates that there is a strong negative relationship between students' level of optimism and their scores on the exam.
A correlation is a measure of the linear relationship between two variables. A correlation of -0.68 indicates that there is a strong negative relationship between the two variables, meaning that as the level of optimism increases, the exam scores decrease.
This correlation indicates that there is a strong negative relationship between students' level of optimism and their scores on the exam.
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2y+7x=-5 what does y and x equal
Answers
Answer:
There is no value of x and y.
Step-by-step explanation:
To solve the equation 2y + 7x = -5 for y and x, we can use the following steps:
1.
Isolate y on one side of the equation by subtracting 7x from both sides:
2y = -7x - 5
2.
Divide both sides by 2 to get y by itself:
y = (-7/2)x - (5/2)
3.
To find x, we can substitute the value of y we just found into the original equation:
2(-7/2)x + 7x = -5
4.
Simplify and solve for x:
-7x + 7x = -5
0 = -5
Since this equation has no solution, there is no value of x and y that will satisfy it.
expand and simplify 7(d+2)-3(1-4d)
Answers
Answer:
7d+14-3+12d
*****19d+11****
Step-by-step explanation:
\(7(d + 2) - 3(1 - 4d) \\ 7d + 14 - 3 + 12d \\ collect \: like \: terms \\ 7d + 12d + 14 - 3 \\ = 19d + 11\)
Please help, last question ill probably ask on here HELP. Name the pair with the number so ik which one it is for
Answers
Answer: 5- 90 and 55
Step-by-step explanation:
A kite is flying 86 ft off the ground, and its string is pulled taut. The angle of elevation of the kite is 56 degrees . Find the length of the string. Round your answer to the nearest tenth.
Answers
The Explanation :
We can use trigonometry to solve this problem. Let's denote the length of the string as x.From the diagram, we can see that the opposite side of the triangle is the height of the kite above the ground, which is 86 ft. The angle of elevation is the angle between the hypotenuse (the string) and the horizontal.Using the definition of the tangent function, we can write:tan(56°) = opposite / adjacentwhere the opposite side is 86 ft and the adjacent side is x. Solving for x, we get:x = opposite / tan(56°) = 86 / tan(56°) ≈ 112.2 ftTherefore, the length of the string is approximately 112.2 ft when rounded to the nearest tenth.
how do you find mean...
Answers
Answer:
It’s the middle number of the group
Step-by-step explanation:
A car was purchased for $20,000. The car depreciates by 27% each year. What is the value of the car when it is 12 years old?
Answers
Answer:
Below
Step-by-step explanation:
Losing 27 % of value each year means it retains 73% each year
we need to multiply 20 000 x .73 x .73 x .73 .... .73 (twelve times )
or re-written as 20 000 * .73^12 = value =$ 458.04
Anika deposits $1,300 into an account that pays 1.7% interest, compounded monthly. Complete the following table. (Format the answers like the example provided. Round to the nearest cent.)
Year Amount
1 $1322.27
2
3
6
7
8
What is the average rate of return from the end of the first year to the end of the third year?
What is the average rate of return from the end of the sixth year to the end of the eighth year?
Answers
Answer:
i think it's about 20.4% per year
3 is to 15 as 4 is to what
Answers
Answer:
20
Step-by-step explanation:
3 × 5 is 15
4 × 5 is 20
So...should be 20.
the distance between my house and my school is 8 miles and takes 10 minutes by bus.How fast is the bus?
Answers
Answer:
The bus travels at 48 miles per hour.
Step-by-step explanation:
It is given that:
Distance between school and house = 8 miles
Time taken by bus = 10 minutes = \(\frac{10}{60}=\frac{1}{6}\ hour\)
Speed of bus = \(\frac{distance}{time}\)
Speed of bus = \(\frac{8}{\frac{1}{6}}\)
Speed of bus = 8*6 miles per hour
Speed of bus = 48 miles per hour
Therefore,
The bus travels at 48 miles per hour.
ITS VERY IMPRESSIVE I NEED YOUR HELP PLISH♀️
(BRAINLIEST)❤
Answers
Answer:
Here is the fruit pie....chart lol
Step-by-step explanation:
Hope this helps and have a great day!
