Is 6 hours for $4.80 the same rate as 10 hours for $8?
Answers
Answer:
yes it is the same
Step-by-step explanation:
4.80/6=0.8
8/10=0.8
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Related Questions
A pizza chain plans to locate a new pizza franchise on the CCSU campus if the results of a survey show that more than 10% of CCSU students would eat there at least once a week. Suppose the company is about to carry out a hypothesis test. 7.
a. State the hypotheses.
b. Clearly state, in terms of this particular problem, what a Type I error would mean.
c. Describe possible consequences of a Type I error in this situation.
d. Clearly state, in terms of this particular problem, what a Type II error would mean.
e. Describe possible consequences of a Type II error in this situation.
Answers
Answer:
a) Null and alternative hypothesis:
\(H_0: \pi=0.1\\\\H_a:\pi>0.1\)
b) A Type I error is made when a true null hypothesis is rejected. In this case, it would mean a conclusion that the proportion is significantly bigger than 10%, when in fact it is not.
c) The consequences would be that they would be more optimistic than they should about the result of the investment, expecting a proportion of students that is bigger than the true population proportion.
d) A Type II error is made when a false null hypothesis is failed to be rejected. This would mean that, although the proportion is significantly bigger than 10%, there is no enough evidence and it is concluded erroneously that the proportion is not significantly bigger than 10%
e) The consequences would be that the investment may not be made, even when the results would have been more positive than expected from the conclusion of the hypothesis test.
Step-by-step explanation:
a) The hypothesis should be carried to test if the proportion of students that would eat there at least once a week is significantly higher than 10%.
Then, the alternative or spectulative hypothesis will state this claim: that the population proportion is significantly bigger than 10%.
On the contrary, the null hypothesis will state that this proportion is not significantly higher than 10%.
This can be written as:
\(H_0: \pi=0.1\\\\H_a:\pi>0.1\)
In a room shaped like an ellipse, something whispered at 1 focus can be clearly heard at the other focus. The U.S. Capitol National Statuary Hall in Washington, D.C. is such a whispering gallery. From 1807 to 1857, the U.S. House of Representatives met in this room. According to legend, when John Quincy Adams was a representative following his presidency, he used to look as though he was asleep at his desk during debate, but he was listening to what representatives of the opposing party on the other side of the room were whispering. If the elliptical pattern of this whispering gallery is 92 feet long by 58 feet wide, how far from the whisperer at 1 focus is the listener at the other focus
Answers
Answer:
The listener is approximately 71.414 feet far from the whisperer.
Step-by-step explanation:
We must remember that two fundamental variables for every ellipse are the major semiaxis (\(a\)) and the minor semiaxis (\(b\)). The major semiaxis equals a half of the length of the whispering gallery, whereas the minor semiaxis equals a half of the width of the whispering gallery. These are:
\(a = 46\,ft\) and \(b = 29\,ft\)
The distance between both whisperers (\(d\)), measured in feet, is two times the distance between center and any of the foci (\(c\)), measured in feet, whose valued is obtained by using this Pythagorean identity:
\(d = 2\cdot c\)
\(c = \sqrt{a^{2}-b^{2}}\)
If \(a = 46\,ft\) and \(b = 29\,ft\), then:
\(c = \sqrt{(46\,ft)^{2}-(29\,ft)^{2}}\)
\(c \approx 35.707\,ft\)
\(d = 2\cdot (35.707\,ft)\)
\(d = 71.414\,ft\)
The listener is approximately 71.414 feet far from the whisperer.
I need help!!!! pleaseee
Answers
The genotype ratio is: 1 TT : 1 Tt : 0 tt
The phenotype ratio is : 4 Tall : 0 Short
100 percent of the offspring will be tall.
What is Genotypic and Phenotypic ratio?Genotypic ratio is the ratio between the genetic makeup among the offspring population.
On the other hand, the ratio between the offspring population for an observable characteristic is the phenotype ratio.
The given test cross is between a homozygous tall parent and a heterozygous tall parent.
Using a Punnett square,
The result will be as shown below.
T t
T TT Tt
T TT Tt
Genotype : 1 TT : 1 Tt : 0 tt
Phenotype : 4 Tall : 0 Short
100 percent of the offspring will be tall.
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A certain fish grows so that after t years of life its length is given by L(t) = 9 − 1/5t inches. Calculate the average rate of growth over the first year of life.
Answers
Answer:
Step-by-step explanation:
Given the length of a fish after t years modeled by the equation
L(t) = 9 − 1/5t
The average rate of growth is expressed as;
dL/dt = -1/5 (differential of a constant is zero)
Hence the average rate of growth over the first year of life is -1/5 in/year
In a large population, 58 % of the people have been vaccinated. If 5 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated?
Answers
Therefore, the probability that AT LEAST ONE of them has been vaccinated is 0.98693
If 58% = 58÷100 of the people have been vaccinated, then;
1 - (58/100) = 42% = 42÷100 of the people who have not been vaccinated.
Now:
Probability, P( > 1 ), that at least one of the selected four has been vaccinated is given by;
P( > 1 ) = 1 - P(0) -----------(1)
Where;
P(0) = probability that all of the four have not been vaccinated.
P(0) = P(1) x P(2) x P(3) x P(4)×p(5)
Where;
P(1) = Probability that the first out of the four has not been vaccinated
P(2) = Probability that the second out of the four has not been vaccinated
P(3) = Probability that the third out of the four has not been vaccinated
P(4) = Probability that the fourth out of the four has not been vaccinated
P(5)=Probability that the fifth out of the five has not been vaccinated
Remember that 42÷100 of the population has not been vaccinated. Therefore,
P(1) = 42÷100
P(2) = 42÷100
P(3) = 42÷100
P(4) = 42÷100
P(5)=42÷100
P(0) = (42÷100) x (42÷100) x (42÷100) x (42÷100)×(42÷100)
P(0) = (42÷100)⁵
P(0) = (0.42)⁵
P(0) = 0.013067
Therefore, from equation (1);
P( > 1 ) = 1 -0.013067
P( > 1 ) = 0.98693
Therefore, the probability that AT LEAST ONE of them has been vaccinated is 0.98693
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Two cylinders, a and b, each started with different amounts of water. The graph shows how the height of the water changed as the volume of water increased in each cylinder. Match the graphs of a and b to Cylinders P and Q. Explain your reasoning. height in centimeters b volume in milliliters P
Answers
To match the graphs of cylinders a and b to cylinders P and Q, we need to analyze the relationship between the height of the water and the volume of water in each cylinder.
Cylinder P would correspond to graph b, while Cylinder Q would correspond to graph a.
The reasoning behind this is as follows:
Cylinder P, corresponding to graph b, shows a steeper increase in height with increasing volume. This indicates that the water level rises quickly as more volume is added, suggesting that the cylinder has a smaller cross-sectional area. Since height is directly proportional to volume for a cylinder, a smaller cross-sectional area would result in a higher rise in height for the same volume of water.
Cylinder Q, corresponding to graph a, shows a slower increase in height with increasing volume. This implies that the water level rises more gradually as more volume is added, indicating a larger cross-sectional area. A larger cross-sectional area would result in a smaller increase in height for the same volume of water.
In summary, the steeper graph b matches Cylinder P with a smaller cross-sectional area, while the gentler graph a matches Cylinder Q with a larger cross-sectional area.
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Part A: Maci made $170 grooming dogs one day with her mobile dog grooming business. She charges $60 per appointment and earned $50 in tips. Write an equation to represent this situation and solve the equation to determine how many appointments Maci had.
Part B: Logan made a profit of $235 as a mobile groomer. He charged $75 per appointment and received $40 in tips, but also had to pay a rental fee for the truck of $10 per appointment. Write an equation to represent this situation and solve the equation to determine how many appointments Logan had.
Answers
Maci and 2 appointments and Logan had 3 appointments.
How many appointments did Maci and Logan have?The linear equation that represents the total amount earned by Maci is:
Total amount earned = (amount per appointment x number of appointments) + tips
$170 = ($60 x a) + $50
$170 = $60a + $50
$170 - $50 = $60a
$120 = $60a
a = $120 / $60
a = 2
The linear equation that represents the total amount earned by Logan is:
Profit = total revenue - total cost
Profit = (fee per appointment x number of appointments) + amount received in tips - (rental fee x number of appointments)
$235 = ($75 x a) + $40 - ($10 x a)
$235 = $75a + $40 - $10a
$235 = $65a + $40
$235 - $40 = $65a
$195 = $65a
a = $195 / 65
a = 3
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Black & Decker Manufacturing sold a set of saws to True Value Hardware. The list price was $3,800. Black & Decker offered a chain discount of 8/3/1. The net price of the saws is:
Answers
The net price of the saws that Black & Decker Manufacturing sold to True Value Hardware on a chain discount of 8/3/1 is $3,357.21.
What is a chain discount?A chain discount refers to a type of discount offered to customers, which is sequentially applied to the list price to arrive at the net price.
Chain discounts involve a series of trade discounts applied in sequence.
Data and Calculations:List price = $3,800
Chain discount = 8/3/1
First net price = $3,496 ($3,800 x 1 - 8%)
Second net price = $3,391.12 ($3,496 x 1 - 3%)
Third net price = $3,357.21 ($3,391.12 x 1 - 1%)
Thus, the net price based on a chain discount of 8/3/1 is $3,357.21.
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which of the following equations has a greater rate of change than what is shown in the graph
Answers
we can calculate the rate of change of a line (slope) by means of the following formula:
\(m=\frac{y2-y1}{x2-x1}\)Where (x1, y1) and (x2,y2) are two points of the line.
From the given graph, we can see that the line passes through the points (4, 300) and (8,600), by replacing these values into the above formula, we get:
\(m=\frac{600-300}{8-4}=\frac{300}{4}=75\)For a linear equation, its slope is the number that multiplies the variable x, from the given options, the only equation that has a slope greater than 75 is the second one, with a rate of change of 85.
Then, the answer is the second option y=85x
} One number is 8 times another. When the lesser number is subtracted from the greater, the result is 2 more than 5 times the lesser number. What are the numbers?
Answers
The numbers are 1 and 8.
We have,
Let's assume the lesser number as "x" and the greater number as "8x".
According to the given information, when the lesser number is subtracted from the greater, the result is 2 more than 5 times the lesser number:
8x - x = 5x + 2
Simplifying the expression:
7x = 5x + 2
Subtracting 5x from both sides:
2x = 2
Dividing both sides by 2:
x = 1
So, the lesser number is 1 and the greater number is 8 times that, which is 8.
Therefore,
The numbers are 1 and 8.
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maria , an experienced shipping clerk, can fill a certain order in 12 hours. , a new clerk, needs 13 hours to do the same job. Working together, how long will it take them to fill the order
Answers
It would take them approximately 6.24 hours (or 6 hours and 14 minutes) to complete the order if they work together.
To solve this problem, we can use the formula:
Time = Work ÷ Rate
Time is the time it takes to complete the job, Work is the amount of work to be done, and Rate is the rate of work.
Let's assume that the amount of work to be done is 1 (it doesn't matter what unit we use as long as we are consistent).
Then, Maria's rate of work is 1/12 (she can do 1 job in 12 hours) and the new clerk's rate of work is 1/13 (he can do 1 job in 13 hours).
If they work together, their combined rate of work is the sum of their individual rates:
Rate = Maria's rate + New clerk's rate
Rate = 1/12 + 1/13
Rate = (13 + 12) / (12 x 13)
Rate = 25 / 156
So, their combined rate of work is 25/156 jobs per hour.
Now, we can use the formula to find the time it takes for them to complete the job together:
Time = Work ÷ Rate
Time = 1 ÷ (25/156)
Time = 156/25
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PLEASE HELP!!
2. Alice has a 401K with an APR of 2.5% that compounds monthly. She plans on contributing
$500.00 a month and her company will match her contribution for a total of $1,000.00 a
month contributed. How much money will be in the account at the time of her retirement
(age 65)? Show all calculations.
Answers
Answer:
multiply 12x65, then multiply that by 1,000 to get 780,000
Step-by-step explanation:
Mr. Ketchum collets Pokémon cards. He purchases a rare charizard Pokémon card for $525. Research shows this card value will increase by 3.5% each year. Write an equation that determines the value,v,of the card t years after purchase
Answers
Answer:
18.37500
Step-by-step explanation:
Here You Go! Hope It Helps Bud
Help asap!!! (DIFFERENT THAN ALL THE OTHERS!!!) brainliest if correct
Each soccer player has one yellow, one blue, and one white jersey. For the last game of the season, each player could choose which jersey they wanted to wear. The table below shows the percentage of players that wore each color jersey.
Jersey Color Percentage of Players
Yellow 0.45
Blue 0.25
White 0.30
Compare the probabilities of a randomly selected player wearing a certain jersey color and interpret the likelihood. Choose the statement that is true.
The player will be more likely to wear a blue jersey than a yellow jersey because P(Blue) > P(Yellow).
The player will be more likely to wear a white jersey than a yellow jersey because P(White) > P(Yellow).
The player will be more likely to wear a white jersey than a blue jersey because P(White) > P(Blue).
The player will be equally likely to wear a yellow jersey or a white jersey because P(Yellow) = P(White).
Answers
Answer:
The player will be more likely to wear a white jersey than a blue jersey because P(White) > P(Blue).
29. Assertion :7√5, √2+21 are the irrational number. Reason: every integer is an rational number 30.
Answers
The assertion is true. Both 7√5 and √2 + 21 are irrational numbers because they cannot be expressed as fractions.
The assertion is true. Both 7√5 and √2 + 21 are irrational numbers.
An irrational number is defined as a number that cannot be expressed as a fraction of two integers and has an infinite non-repeating decimal representation.
In the case of 7√5, the square root of 5 is an irrational number because it cannot be expressed as a fraction. Multiplying it by 7 does not change its irrational nature.
Similarly, √2 is also an irrational number because the square root of 2 cannot be expressed as a fraction. Adding 21 to √2 does not alter its irrationality.
The reason provided, that every integer is a rational number, is not relevant to the given assertion. While it is true that every integer is a rational number because it can be expressed as a fraction (e.g., 3 can be written as 3/1), it does not contradict the fact that 7√5 and √2 + 21 are irrational numbers.
In conclusion, the assertion is valid, and both 7√5 and √2 + 21 are irrational numbers.
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The O'Neil family is taking a road trip. Their final destination is more than 243 miles from their house, and so far they have traveled 157 miles. Their
car can travel 21.5 miles on a gallon of gas. Which number line shows the solution set for the number of gallons of gas the O'Neil family needs to
reach their destination?
Answers
Answer:
The solution you are looking for is D.)
Step-by-step explanation:
To determine this, we need to find the amount of miles left they need to travel (243 - 157 = 86). Then we can divide that by the amount of miles per gallon (86 / 21.5 = 4). Because a possible solution to the answer is 4, we know that the dot needs to be solid (filled in), and because the solution can be greater than four, the arrow would be directed to the right / positive side of the line.
a) calculate the reynolds number for a sphere moving in air at 15 m/s with a diameter of 10cm. b) is this flow around the sphere turbulent? (yes/no/maybe) c) calculate the reynolds number for a sphere moving in water at 15 m/s with a diameter of 10cm.
Answers
a) The Reynolds number for a sphere moving in air is 83,333.33.
b) Yes, Based on the Reynolds number, the flow around the sphere is turbulent (Re > 4000).
c) The Reynolds number for a sphere moving in water is 150,000.
Reynolds Number Sphere Flowa) To calculate the Reynolds number for a sphere moving in air at 15 m/s with a diameter of 10cm, we can use the formula:
Re = (density * velocity * diameter) / viscosity
Where density of air is 1.2 kg/m³, viscosity of air is 1.78 x 10⁻⁵ Ns/m² and diameter is 0.1m.
Re = (1.2 * 15 * 0.1) / (1.78 x 10⁻⁵)
Re = 83333.33
b) Based on the Reynolds number, the flow around the sphere is turbulent (Re > 4000). So, the answer is yes.
c) To calculate the Reynolds number for a sphere moving in water at 15 m/s with a diameter of 10cm, we can use the formula:
Re = (density * velocity * diameter) / viscosity
Where density of water is 1000 kg/m³ and viscosity of water is 0.001 Ns/m².
Re = (1000 * 15 * 0.1) / (0.001)
Re = 150000
Based on the Reynolds number, the flow around the sphere is turbulent (Re > 4000).
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Help please and thanks
Answers
Hopes this helps
Solve the compound inequality 4x - 7 > 5 or 5x + 4 = -6.
A) x < -2 or 2 3
B) xs-2 or x>3
C) -2 5 x<3
OD) xs -2 and x > 3
Answers
Answer:
A) x < -2 or 2 3
Step-by-step explanation:
I'm correct if I'm rwong
help me with this pls
Answers
A statement that describes a box plot that accurately represent the data include the following: D. points are plotted at 4 and 20.
A box plot that matches the data is: D. box plot D.
What is a box-and-whisker plot?In Mathematics and Statistics, a box plot is sometimes referred to as box-and-whisker plot and it can be defined as a type of chart that can be used to graphically or visually represent the five-number summary of a data set with respect to locality, skewness, and spread.
Based on the information provided about the data set, the five-number summary for the given data set include the following:
Minimum (Min) = 4.First quartile (Q₁) = 9.25.Median (Med) = 12.5.Third quartile (Q₃) = 19.5.Maximum (Max) = 20.For the second data set, we have the following five-number summary:
Minimum (Min) = 7.First quartile (Q₁) = 9.Median (Med) = 10.Third quartile (Q₃) = 13.Maximum (Max) = 14.Read more on boxplot here: brainly.com/question/29648407
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John has 3 different colored tiles. (red, blue
and green). He wants to put them into
different orders to make a pattern. How many
different patterns can he make?
Answers
Answer:you can make around 3
Step-by-step explanation:
john can make 3 different patterns because he has 3 colors for example...
pattern 1:green,red,blue
pattern 2:red,blue,green
pattern 3:blue,red,green
keep going you might find more..good luck!A builder is designing a rectangular patio that has a length of 12 units. Find the total number of square units the patio will cover if the width is 4
Answers
Answer:
48 square units
Step-by-step explanation:
Use the area formula, A = lw, where l is the length and w is the width
Plug in the length and width:
A = lw
A = (12)(4)
A = 48
So, the patio will cover 48 units²
If we use RH as the base of this triangle, the height is ___ units.
Answers
ANSWER
\(6\text{ units}\)EXPLANATION
To find the height of the triangle, using RH as the base, we simply have to find the vertical distance between the base and the top of the triangle.
To do that, find the difference between the y-coordinates of the top and the bottom of the triangle.
That is:
\(\begin{gathered} 8-2 \\ 6\text{ units} \end{gathered}\)The height of the triangle is 6 units.
HELP!!!!!!!!!!!!!!!!!!
Answers
Answer:
D 0.89275
Step-by-step explanation:
Adu has a rectangular field. it is 85m long and 25m wide . How long is the fence round the field?
Answers
Answer:
220mStep-by-step explanation:
you only need to find the perimeter,
add the lengths of the rectangle's four sides
85+25+85+25=
220m
please ! solve the following equation algebraically: 2x²=50
Answers
Divide both sides by 2.
X^2 = 25
Take the square root of both sides.
x = +/- 5
C is your final answer.
Answer:
5,-5
Step-by-step explanation:
Solve the Equation.
5h - 9 = -16 + 6h
-------------------------
4x + 4 = 9x - 36
Answers
I attached an image below I hope it makes sense if u have any questions tell me. Hope it helps!!
A total of 27 students are in your class. There are nine more males than females.
How many females are in your class?
Answers
what does it mean if your gf constantly sends you pics of her she keeps sending pics to me
Answers
Answer:
She probably wants attention from you maybe compliment her outfit or something like that.
What is the perimeter of a rectangle 15x4
Answers
Answer:
38
Step-by-step explanation:
perimeter = 2(l+b)
Where l is the length of the rectangle
b is the breadth of the rectangle
P = 2(15+4)
P = 2 × 19
P = 38