4. (40 Pts) The Vacation Times website rates recreational vehicle campgrounds
using integers from 0 to 15. Last year they rated over 1,000 campsites. The
ratings were normally distributed with mean 7.6 and standard deviation 1.7.
a. How high would a campsite's rating have to be for it to be considered in
the top 10% of rated campsites? Round to the nearest hundredth.
b. Find the z-score for a rating of 5. Round to the nearest hundredth.
Answers
Using the normal distribution, it is found that:
a) The rating would have to be of at least 9.78.
b) The z-score for a rating of 5 is of -1.53.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The mean and the standard deviation are given by:
\(\mu = 7.6, \sigma = 1.7\)
For item a, we have to find the 90th percentile, which is X when Z = 1.28, hence:
\(Z = \frac{X - \mu}{\sigma}\)
1.28 = (X - 7.6)/1.7
X - 7.6 = 1.28 x 1.7
X = 9.78.
The rating would have to be of at least 9.78.
For item b, we have to find Z when X = 5, hence:
\(Z = \frac{X - \mu}{\sigma}\)
Z = (5 - 7.6)/1.7
Z = -1.53.
The z-score for a rating of 5 is of -1.53.
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Related Questions
What is the solution of this equation?
2x +x-11+3-7x=15
A. X=7/4
B. X=-7/4
C. X=-23/4
Dx=23/4
Answers
Combining like terms, we have:
2x + x - 11 + 3 - 7x = 15
(2x + x - 7x) + (-11 + 3) = 15
-4x - 8 = 15
Next, let's isolate the variable x:
-4x - 8 + 8 = 15 + 8
-4x = 23
To solve for x, we divide both sides of the equation by -4:
(-4x) / -4 = 23 / -4
x = -23/4
Therefore, the solution to the equation is:
C. x = -23/4.
given that logm 3=0.903,logm4=1.139 , and logm7=1.599, find logm4/m.
Answers
The value of logm 4/m is 1.139 - 2 logm m. This means that we can express logm 4/m in terms of other logarithmic values without finding the exact value of m.
Given that logm 3 = 0.903, logm 4 = 1.139, and logm 7 = 1.599. We are to find logm 4/m.
Using the properties of logarithm, we have,
logm 4/m = logm 4 - logm m
=1.139 - logm m .....................................(1)
Again, using the properties of logarithm, we know that:
logm 4 = logm (2 × 2)
= logm 2 + logm 2
= 1.139 = 2logm 2 ..................................(2)
Substituting equation (2) into (1) gives:
logm 4/m = 2logm 2 - logm
m = 2logm (2/m) ..................................................(3)
Using the property of logarithm once again, we know that:
loga b = logc b / logc a ............................................(4)
Substituting equation (4) into equation (3), we have:
logm 4/m = 2 logm 2 - logm
m= logm [(2/m)² / m] .............................................(5)
Now, we are to find logm 4/m by substituting the given values.
Using equation (2), we have:
logm 2 = (1.139)/2
= 0.5695
Using equation (5), we get:
logm 4/m = logm [(2/m)² / m]
logm 4/m = logm [4/m²m]
logm 4/m = logm 4 - logm
logm 4/m = 1.139 - 2 logm m
Therefore, by using the properties of logarithm, we have found that logm 4/m = 1.139 - 2 logm m. This means that we can express logm 4/m in terms of other logarithmic values without finding the exact value of m.
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A rectangular ground has the breadth 80percent of length and perimeter is 360m. Find the cost of planting the ground at Rs 8 per m^2
Answers
Answer:
Rs 64000
Step-by-step explanation:
Since breadth B = 80% of length L, B = 0.8L
Perimeter, P = 2(L + B) = 360m
Substituting B = 0.8L into P, we have
2(0.8L + L) = 360 m
2(1.8L) = 360 m
3.6L = 360 m
L = 360m/3.6
L = 100 m
So, B = 0.8L = 0.8(100 m) = 80 m
The area of the rectangular ground is A = LB = 100 m × 80 m = 8000 m²
So, the cost of planting the ground at Rs 8 per m² is Rs 8 per m² × 8000 m² = Rs 64000
Hhhhhhhhelllllllllllp In physics, you are using the formula E = mc2, where c is positive and represents the speed of light. Which equations are equivalent to
this?
Answers
Answer:
Step-by-step explanation: This is just rearranging the formula. Divide by m on both sides, then find the square root. The answer is E
Curtis charges a flat fee of $2.50 for each delivery plus $0.20 per mile for each mile he drives. For one delivery, Curtis drives 6 miles.
Answers
Answer: The amount would be $3.70
Step-by-step explanation: 0.20x6=1.20+2.50=3.70
PLEASE HELP WILL GIVE BRAINLIEST
Answer all parts of the question please!
Answers
Answer:
It's in the air for about 2 seconds (A), maximum height was about 17 feet, and yes you win the price since 17> 15.
Step-by-step explanation:
When a researcher examines quantitative data and wants to know the number of observations that fall below the upper limit of a particular class, the researcher is BEST served by creating a
Answers
The researcher is BEST served by creating a frequency distribution table with a cumulative frequency column and a histogram with the class boundaries marked
When a researcher examines quantitative data and wants to know the number of observations that fall below the upper limit of a particular class, the researcher is BEST served by creating a frequency distribution table with a cumulative frequency column and a histogram with the class boundaries marked. The frequency distribution table would allow the researcher to see how many observations fall into each class, while the cumulative frequency column would show how many observations fall below the upper limit of each class. The histogram would provide a visual representation of the distribution of the data, and the class boundaries marked on it would allow the researcher to easily identify the upper limit of each class. By examining the cumulative frequency column, the researcher would be able to determine the number of observations that fall below the upper limit of a particular class.
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An orange grower harvested oranges from 4 acres of land and collected 720 bushels of oranges. The next day, the farmer harvested oranges from 7 acres of land and collected 1,260 bushels of oranges.
Is there a proportional relationship between the number of bushels of oranges collected and the number of acres harvested over the two days? Explain.
Answers
Yes, there is a proportion relationship between the number of bushel and acres of land. The relationship is the number of busher is directly proportional to the number of acres of land.
What is direct proportion?Direct proportion or direct variation is the relation between two quantities where the ratio of the two is equal to a constant value.
direct proportion is given as y= kx
Where y and x are the variables and k is constant.
If the bushel of orange is given by x and the acres of land by y
then x= ky
for the expression to be correct the value of k should be thesame
when x= 720 and y = 4
k= x/y
k= 720/4= 180
when x= 1260 and y= 7
k= x/y
k= 1260/7
k= 180
therefore the x is directly proportional to y
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a fair bet is a: wager entered into with honesty and concern for the welfare of the other party. gamble that provides net gains to all participants so there is no loser. wager entered into when the rules are clear to all participants. gamble that, on average, will leave a person with the same amount of money.
Answers
Answer:gamble that,on average,will leave a person with the same amount of money.
Step-by-step explanation:
plz help i will give brainliest
Answers
Answer:
x = 5
Step-by-step explanation:
If you have 19x, 7x, and 10x, they all have to be multiplied to equal 180 and be a real triangle. When all multiplied by 5, you can add up and it will equal 180.
Find the x-intercept(s) of the following equation.
Answers
Answer:
The first answer
Step-by-step explanation:
Looking at the graph we can see that the line crosses the x-axis (horizontal line) at (-2,0) and (0,0) so those are the two x intercepts because that is where the line intercepts the x axis
I hope this helps!
What’s the answer I need help?
Answers
its either A or B
Step-by-step explanation:
its not C or D because it has to be an acute angle
If 200 copies are made for $6.00, then what is the unit rate price per copy? How much will 150 copies cost?
Answers
To calculate the unit race price per copy, we can divide $6.00 by 200 copies:
\(\frac{6}{200}=0.03\text{ usd}\)Each copy cost $0.03, to determine how much will cost 150 copies, we have to multiply the unit rate price by 150:
\(0.03\cdot150=4.5\text{ usd}\)150 copies will cost $4.5
What is the Lcm of 7, 49
Answers
Answer:
The LCM (Least Common Multiple) of 7 and 49 is 49.
Step-by-step explanation:
To find the LCM (Least Common Multiple) of two numbers, one method is to list the multiples of each number and find the smallest multiple that both numbers share.
In this case, the LCM of 7 and 49 can be found by listing out the multiples of each number and finding the first multiple that both 7 and 49 have in common.
Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, ...
Multiples of 49: 49, 98, 147, 196, 245, 294, ...
As we can see, the first multiple that both 7 and 49 share is 49, so 49 is the LCM of 7 and 49.
Point P(−5, 2) is translated using the rule (x+3, y−1).
What is the x-coordinate of P′ ?
Answers
Answer:
(-2,1)
Step-by-step explanation:
P' = (-5+3,2-1)
P' = (-2,1)
Based on the given five balances what is the average balance for the 5 day period
Answers
The average balance for the 5 day period is 27.
The average of anything is given by adding all the numbers and dividing the sum of total number of items. The average daily balance is given by adding up your balances from all of the days throughout the period, dividing them by the total number of days during the period.
Now, Adding the all five balances, we get
Sum = (-21)+(-55)+102+125+(-16)
= -21-55+102+125-16
= 135
Now, Dividing the sum by total number of days i.e. 5,
Average \(=\frac{135}{5}\)
= 27
Hence, the average balance for the 5 day period is 27.
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simplify the expression using the rules for exponents.(a^-4b^5c^4)^4/(a^2b^4c)^-1 write you’re answer without negative exponents.
Answers
The simplified expression without negative exponents is a^-14 * b^24 * c^17.
To simplify the expression (a^-4b^5c^4)^4 / (a^2b^4c)^-1 without negative exponents, we can apply the rules for exponents. Let's break down the steps:
Simplify the numerator.
(a^-4b^5c^4)^4
To simplify the numerator, we apply the power rule for exponents, which states that raising a power to another power requires multiplying the exponents. In this case, we raise each term inside the parentheses to the power of 4:
a^(-4 * 4) * b^(5 * 4) * c^(4 * 4)
= a^-16 * b^20 * c^16
Simplify the denominator.
(a^2b^4c)^-1
To simplify the denominator, we apply the power rule for exponents again. Since the entire expression is raised to the power of -1, we can invert the base and change the sign of the exponent:
(a^2b^4c)^-1 = 1 / (a^2b^4c)
Combine the numerator and denominator.
(a^-16 * b^20 * c^16) / (1 / (a^2b^4c))
To divide by a fraction, we can multiply by its reciprocal:
(a^-16 * b^20 * c^16) * (a^2b^4c) / 1
= a^-16 * a^2 * b^20 * b^4 * c^16 * c / 1
= a^(-16 + 2) * b^(20 + 4) * c^(16 + 1)
= a^-14 * b^24 * c^17
Therefore, the simplified expression without negative exponents is a^-14 * b^24 * c^17.
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Use the distributive property to simplify the expression: -4(4x + 3) + (7x - 2)
Answers
The answer is -9x -10
Karrisa is going water skiing. She has a choice on either renting or purchasing the skis. She must also rent a safety jacket. She can purchase skis for $125 a pair. The rental fee for skis and a safety jacket is $30 per hour. The rental fee for only the safety jacket is $5 per hour. How many hours must she ski for the price of renting skis and purchasing the skis to be the same?
Answers
Answer:
5 hours
Step-by-step explanation:
The rental option for h hours costs ...
r = 30h
The purchase option for h hours costs ...
p = 125 +5h
These costs are the same when ...
r = p
30h = 125 +5h
25h = 125 . . . . . subtract 5h
h = 5 . . . . . . . . . divide by 25
Karrisa must ski for 5 hours for the prices to be the same.
Calculate the test statistic 2
A local retailer currently schedules employees based on the assumption that they serve customers uniformly throughout the week (the same number each day). Management is starting to question this assumption and decides to collect data on the number of customers served each day of the week to
perform a Chi-Square goodness-of-fit test at a 5% significance level.
Monday Tuesday Wednesday Thursday Friday
Number Served 40 33 35 32 60
Total 200
Provided the assumptions of the test are satisfied, calculate the test statistic 2
Answers
The value of a Chi-Square goodness-of-fit test at a 5% significance level is 13.45
We need to perform a Chi-Square goodness-of-fit test at a 5% significance level.
First we need to calculate the expected count
expected value = ∑(x)/n
= (40 + 33 + 35 + 32 + 60)/5
= 200/5
= 40
Now we need tocalculate the test statistic value
Observed expected O - E (O - E)^t/E %
40 40 0 0 0
33 40 -7 1.225 9.11
35 40 -5 0.625 4.65
32 40 -8 1.6 11.90
60 40 20 10 74.35
Chi square test is 13.45
Therefore, the value of test statistics is 13.45.
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Tyler runs 8 2/3 miles in 4/3 of an hour. How long does it take each of them to run 10 miles?
Answers
Answer:
It takes Tyler 65 minutes to run 10 miles.
Step-by-step explanation:
First you have to figure out what Tyler's mph is, so you divide 8 2/3 by 4/3=6.5. Then you multiply by 10 get how long it takes him to run 10 miles.
(hope this helps!)
The temperature is -3ºC . If the temperature rises by 15ºC , what is the new temperature? *
Answers
Answer: 12 degrees c
Step-by-step explanation:
Answer:
The temperature will be 12°C
Step-by-step explanation:
Can someone answer this what do I put
Answers
Answer:
Where is the screenshot... I have to much free time
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Regression problems aid in predicting __________ outputs. All the options Continuous only Categorical or Discrete only
Answers
Regression problems are used to predict continuous outputs. In such problems, the goal is to establish a mathematical relationship between input variables (also known as independent variables) and the corresponding output variable (dependent variable).
The regression model learns from a training dataset, identifying patterns and relationships between the input and output variables. Once trained, the model can be used to predict the output values for new, unseen input data.
This makes regression particularly useful in scenarios where the output is a continuous numerical value, such as predicting housing prices based on features like location, size, and number of rooms.
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Please Help!! ASAPDetermine whether the following system of equations is consistent or inconsistent and dependent or independent.
Answers
Answer:
Option C
Step-by-step explanation:
I am going to assume that one doesn't know what an inconsistent or consistent system of equations is, let alone what a dependent and independent system of equation is. Well an inconsistent system is one that have no solutions, while a consistent system of equations has solutions. A consistent dependent system has infinite solutions, while a consistent independent system has 1 solution.
_______________________________________________________
This system of equations has one solution, as the slopes are not the same nor a multiple of one another ( no solution ) , and the equations are not the same either, nor a multiple of one another ( infinite solutions ). Thus, the system of equations is consistent, independent - Option C
I hope that clarified any questions that you had, as the answer was not Option D!
need help on this!!! :)
Answers
Answer: -3,1
Step-by-step explanation:
Answer:
2/3
Step-by-step explanation:
The slope would be 2/3 because you go up two and over three. Rise/run.
I JUST NEED THIS ONE DONE, PLEASE
Answers
Answer:
x=4
y=36
Step-by-step explanation:
hope this helps :)
in parallelogrammnop, pk=5x andkn=x2−14 . what is pn? 7 36 70 100
Answers
Answer:
(c) pn = 70
Step-by-step explanation:
If k is the point of intersection of the diagonals, then ...
pk = kn
5x = x^2 -14
x^2 -5x -14 = 0 . . . . subtract 5x
(x -7)(x +2) = 0 . . . . factor
The positive solution is x = 7.
pk = 5x = 5·7 = 35 . . . . pn is twice as long.
pn = 70
: Prove that a) X'Y' + X'Y +XY = X' +Y b) A'BC' + ABC' + BC'D = BC' Find the complement of the following function a) WX(Y'Z+YZ') + W'X'(Y' +Z)(Y+Z') b) (A+B'+C') (A'B' +C)(A + B'C') Find Dual of question 2 (a, b),
Answers
a) X'Y' + X'Y + XY simplifies to X' + Y.
b) A'BC' + ABC' + BC'D simplifies to BC'.
Complement of the functions:
a) Complement is W' + X' + YZ.
b) Complement is (A' + B + C)(A'B' + C' + A'B).
a) To prove X'Y' + X'Y + XY = X' + Y, we can use Boolean algebra identities:
X'Y' + X'Y + XY
= Y'(X' + X) + XY(Distributive Law)
= Y' + XY(X + X' = 1)
= X' + Y(Commutative Law)
Therefore, X'Y' + X'Y + XY simplifies to X' + Y.
b) To prove A'BC' + ABC' + BC'D = BC', we can simplify the expression using Boolean algebra:
A'BC' + ABC' + BC'D
= BC'(A' + A) + BC'D (Distributive Law)
= BC' + BC'D(A + A' = 1)
= BC'(BC' + BC'D = BC' + BC'(1) = BC')
Hence, A'BC' + ABC' + BC'D simplifies to BC'.
Complement of the given functions:
a) The complement of WX(Y'Z + YZ') + W'X'(Y' + Z)(Y + Z') is W' + X' + YZ.
b) The complement of (A + B' + C')(A'B' + C)(A + B'C') is (A' + B + C)(A'B' + C' + A'B).
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At which angle will the hexagon rotate so that it maps
onto itself?
O 60°
90°
0 120°
O 180°
Answers
Answer:
60 degress
Step-by-step explanation:
Edgen 2021
60° is the angle at which the hexagon rotate so that it maps onto itself.
What is Polygon?A polygon is a plane figure made up of line segments connected to form a closed polygonal chain.
When a figure has a rotational symmetry, it maps onto itself under rotation about a point at the centre.
When an hexagon rotate onto itself,the vertices must cover to vertices and from sides to sides.
There are six angles in a hexagon and the sum of the angles is 360°. Therefore, each angle has a measure of 360°/6 is equal to 60°.
Rotating subsequently by 60 degree will rotate a hexagon onto itself. A hexagon has 6 rotations, that is, a hexagon has a rotational symmetry of 6 and at angle 60°, the hexagon will rotate onto itself.
Hence, 60° is the angle at which the hexagon rotate so that it maps
onto itself.
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