CHEGG The accompanying observations are precipitation values during March over a 30-year period in Minneapolis-St. Paul. 0.32, 0.47, 0.52, 0.59, 0.77, 0.81, 0.81, 0.90, 0.96, 1.18, 1.20, 1.20, 1.31, 1.35, 1.43, 1.51, 1.62, 1.74, 1.87, 1.89, 1.95, 2.05, 2.10, 2.20, 2.48, 2.81, 3.00, 3.09, 3.37, 4.75 (a) Construct a normal probability plot for this data set. Hint: You can use the R software. Issue this command (cut and paste the 2 rows of code below in the R command line): qqnorm(c(0.32,0.47,0.52,0.59,0.77,0.81,0.81,0.90,0.96,1.18,1.20,1.20,1.31,1.35,1.43,1.51,1.62,1.74,1.87,1.89,1.95, 2.05,2.10,2.20,2.48,2.81,3.00,3.09,3.37,4.75))
Answers
Answer:
Mean 1.580666667 1.769333333
Standard Deviation 0.890741799 1.123161779
Step-by-step explanation:
When we run the commands in the R software we get the graphs as follows.
The commands were
qqnorm(c(0.32,0.52,0.77,0.81,0.96,1.2,1.31,1.43,1.62,1.87,1.95,2.1,2.48,3,3.37))
and
qqnorm(c(0.47,0.59,0.81,0.9,1.18,1.2,1.35,1.51,1.74,1.89,2.05,2.2,2.81,3.09,4.75))
We can plot the graphs in any other plotting software .
The results would be same .
We see there's a slight difference between the two graphs.
One curve goes above ( Minneapolis) for 0.4 and the other ( for St Paul) is below 0.4
Related Questions
I need help with this math problem:
Answers
Use any method to multiply (3a + 2b – c)(a – b + 2c).
Question 5 options:
A)
3a2 – 2b2 – 2c2 – ab + 5ac + 5bc
B)
3a2 + 2b2 + 2c2 – ab – 5ac + 5bc
C)
3a2 + 2b2 – 2c2 + ab + 5ac + 5bc
D)
3a2 – 2b2 – 2c2 + ab + 5ac – 5bc
Answers
Answer:
A)
3a2 – 2b2 – 2c2 – ab + 5ac + 5bc
[tex](3a + 2b - c)(a - b + 2c) \\ = (3 {a}^{2} - 3ab + 6ac + 2ab - 2 {b}^{2} + 6bc - ac + bc - 2 {c}^{2} ) \\ = 3 {a}^{2} - ab + 5ac - 2 {b}^{2} + 5bc - {2c}^{2} \\ = 3 {a}^{2} - 2 {b}^{2} - {2c}^{2} - ab + 5ac + 5bc[/tex]
Answer:
option a is correct
Step-by-step explanation:
(3a + 2b - c)(a - b + 2c)
3a(a- b + 2c) +2b(a - b + 2c) - c(a - b + 2c)
multiply the brackets
3a^2 - 3ab + 6ac + 2ab - 2b^2 + 4bc - ac + bc - 2c^2
combine like terms
3a^2 - ab + 5ac - 2b^2 + 5bc - 2c^2
3a^2 - 2b^2 - 2c^2 - ab + 5ac + 5bc
This diagram represents 3 batches of light yellow paint. Select a ratio that represents 1 batch of the same shade of light yellow paint. (look at screen shot for full question)
Answers
Answer:
3 white to 5 yellow
the third choice
Step-by-step explanation:
white 9 parts
yellow 15 parts
9 white to 15 yellow
Divide by 3
3 white to 5 yellow
que por qué me va a dar 70
what number x anuder number is =70
Answers
Answer: i didnt really understand what you put but i can help you out. If your saying what _ x _ = 70. You can do 10 x 7 or 7x10
Step-by-step explanation:
(xii) x^6 - 8 divide by x^2 - 2
Answers
Answer:
1/x^2
Step-by-step explanation:
x^6-8 / x^2-2
x^-2/x^0
x^-2/1
do reciprocal
1/x^2
Note : In division if the power of the base is negative then do its reciprocal then the power will be positive.
A manufacturer knows that their items have a normally distributed length, with a mean of 15.4 inches, and standard deviation of 3.5 inches. If 16 items are chosen at random, what is the probability that their mean length is less than 16.8 inches
Answers
Answer:
0.9452 = 94.52% probability that their mean length is less than 16.8 inches.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 15.4 inches, and standard deviation of 3.5 inches.
This means that [tex]\mu = 15.4, \sigma = 3.5[/tex]
16 items are chosen at random
This means that [tex]n = 16, s = \frac{3.5}{\sqrt{16}} = 0.875[/tex]
What is the probability that their mean length is less than 16.8 inches?
This is the p-value of Z when X = 16.8. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{16.8 - 15.4}{0.875}[/tex]
[tex]Z = 1.6[/tex]
[tex]Z = 1.6[/tex] has a p-value of 0.9452.
0.9452 = 94.52% probability that their mean length is less than 16.8 inches.
PLSSSSSSS ASAPPPPPPPP
A)157
B)67
C)177
D)None of these answers
E)23
Answers
Shawn, Ryan, and Dominic ate a whole pizza.Shawn ate 1/6 of the pizza, Ryan at 1/2 of the pizza and Dominic ate the rest how much pizza did Dominic eat
Answers
Answer:
Dominic ate [tex]\frac{2}{6}[/tex] of the pizza.
Step-by-step explanation:
First you want to convert the fractions so they all have the same denominator (bottom number in the fraction.) That will make it a lot easier to add and subtract with them.
[tex]\frac{1}{2}[/tex] = [tex]\frac{3}{6}[/tex]
So Shawn ate 1/6 of the pizza, and Ryan ate 3/6 of the pizza. To find what else makes up the whole pizza (what Dominic ate) we add 1/6 and 3/6, then subtract from the whole.
[tex]\frac{1}{6}[/tex] + [tex]\frac{3}{6}[/tex] = [tex]\frac{4}{6}[/tex]
[tex]\frac{6}{6}[/tex] - [tex]\frac{4}{6}[/tex] = [tex]\frac{2}{6}[/tex]
Therefore Dominic ate [tex]\frac{2}{6}[/tex] of the pizza.
graph y > 1 - 3x whats the answer please
Answers
Answer:
see graph
Step-by-step explanation:
Choose the equation and the slope of the line that passes through (3,-2) and is parallel to the x-axis. CHECK ALL THAT APPLY
A. Equation: x= 3
B. Equation: x = -2
C. Slope: undefined
D. Equation: y= 3
E. Slope: 0
F Equation: y= -2
Answers
Answer:
E. Slope: 0
F. Equation: y = -2
Step-by-step explanation:
✔️The x-axis is a horizontal line. Horizontal line does not have any rise, therefore, slope (m) of horizontal line is zero.
The line that is parallel to the x-axis would have a slope of 0 as well.
Therefore, slope (m) = 0
✔️Since the line passes through (3, -2) let's find the y-intercept (b) to enable us write the equation of the line.
Substitute (x, y) = (3, -2) and m = 0 into y = mx + b
-2 = 0(3) + b
-2 = 0 + b
b = -2
✅To write the equation of the line that is parallel to the x-axis, substitute m = 0 and b = -2 into y = mx + b:
y = 0(x) + (-2)
y = 0 - 2
y = -2
A restaurant owner is interested in the proportion of his customers who order dessert. He looks at 65 randomly selected receipts. Match the vocabulary word with its corresponding example.
a. The proportion of all customers who order dessert.
b. All customers who come to the restaurant.
c. The 65 restaurant patrons whose receipts were observed by the owner.
d. The proportion of the 65 randomly selected customers who ordered dessert.
e. The 65 restaurant patrons whose receipts were observed by the owner
f. All customers who come to the restaurant
1. Statistic
2. Variable
3. Sample
4. Data
5. Population
6. Parameter
Answers
Options E and F are repeated but the correct thing should be;
e. The list of the 65 Yes or No answers for whether each customer ordered dessert.
f. The answer: Yes or No to whether a customer ordered dessert
Answer:
a. Parameter
b. Population
c. Sample
d. Statistic
e. Data
f. Variable
Step-by-step explanation:
a. The proportion of all customers who order dessert: This is the parameter because it is the proportion of the population.
b. All customers who come to the restaurant: This is the population because it is from here that the sample was taken.
c. The 65 restaurant patrons whose receipts were observed by the owner: This is the sample because it was taken from the population.
d. The proportion of the 65 randomly selected customers who ordered dessert: This is the statistic because it represents a proportion of the sample.
e. The list of the 65 Yes or No answers for whether each customer ordered dessert: This is the data because it gives us information about the answers given.
f. The answer: Yes or No to whether a customer ordered dessert: This is the variable because it varies with with each customer.
3. Evaluate the expression. If k = 3 and h = 2. (Be sure to show each step)
4k+2(5k-2)-h
Answers
Answer:
36
Step-by-step explanation:
Simple:
(4)(3)+2((5)(3)−2)−2
=12+2((5)(3)−2)−2
=12+2(15−2)−2
=12+(2)(13)−2
=12+26−2
=38−2
=36
Joseph invested $16,000 in an account paying an interest rate of 5.7% compounded
continuously. Assuming no deposits or withdrawals are made, how much money, to
the nearest cent, wbuld be in the account after 14 years?
Answers
Answer: 34767.2
Step-by-step explanation:
given p = $16,000, n = 14 years, y = 5.7%
amount in bank after 14 years = p ( 1 + </100)
= 16,000 (1 + 5.7/ 100) 14
= 34767.2
Answer:
$35537.51Step-by-step explanation:
Required formula:
P(t) = P₀[tex]e^{rt}[/tex]Substitute values and solve:
P(14) = 16000[tex]e^{0.057*14}[/tex]P(14) = 35537.51Simplify the expression.
56 ÷ (–7)
–8
8
392
–392
Answers
Answer:
- 8
Step-by-step explanation:
56 ÷ (- 7)
56 ÷ - 7
- 8
Answer:
-8
Step-by-step explanation:
A positive number divided by a negative one results in a negative quotient.
Thus, 56 ÷ (–7) = -8
What is XY? The triangle XZY is right angle triangle. Angle z is right angle and angle X and Y are 45 degree. The side YZ is 5. A. 2–√ B. 5 C. 52–√ D. 10
Answers
9514 1404 393
Answer:
C. 5√2
Step-by-step explanation:
The hypotenuse of an isosceles right triangle is √2 times the length of either leg. The given leg (YZ) is 5 units, so the hypotenuse XY is 5√2 units.
Frank kept track of the amount of money he earned each day for 2 weeks. The amounts, in dollars, are listed below. 25, 30, 24, 20, 20, 22.5, 75, 27, 27, 22, 22, 27, 22.5, 28 Part A Find and calculate the measures of center and variability that best summarize Frank's data. Explain. Part B Frank says that he typically makes about $27 per day because the mode is 27. Is Frank's conclusion appropriate? Explain.
Answers
Answer:
209
Step-by-step explanation: guyci you y tf7itfit 6tuit6yci7v uvtfi7ftyvg hkvyucoyvyvhj gku citctvo utictgvuk h jh hj vvuk
c A hotel spent $504 on new hair dryers. The hair dryers cost $8 each. The hotel has 6 floors with the same number of rooms on each floor. If every room gets a new hair dryer, how many hair dryers will be left over?
vvvv A hotel spent $504 on new hair dryers. The hair dryers cost $8 each. The hotel has 6 floors with the same number of rooms on each floor. If every room gets a new hair dryer, how many hair dryers will be left over?
vv A hotel spent $504 on new hair dryers. The hair dryers cost $8 each. The hotel has 6 floors with the same number of rooms on each floor. If every room gets a new hair dryer, how many hair dryers will be left over?
A hotel spent $504 on new hair dryers. The hair dryers cost $8 each. The hotel has 6 floors with the same number of rooms on each floor. If every room gets a new hair dryer, how many hair dryers will be left over?
A hotel spent $504 on new hair dryers. The hair dryers cost $8 each. The hotel has 6 floors with the same number of rooms on each floor. If every room gets a new hair dryer, how many hair dryers will be left over?
v A hotel spent $504 on new hair dryers. The hair dryers cost $8 each. The hotel has 6 floors with the same number of rooms on each floor. If every room gets a new hair dryer, how many hair dryers will be left over?
A hotel spent $504 on new hair dryers. The hair dryers cost $8 each. The hotel has 6 floors with the same number of rooms on each floor. If every room gets a new hair dryer, how many hair dryers will be left over?
Find the inverse of the following function. Then prove they are inverses of one another.
f (x)= root 2x-1.
Answers
Answer: [tex]\dfrac{x^2+1}{2}[/tex]
Step-by-step explanation:
Given
[tex]f(x)=\sqrt{2x-1}[/tex]
We can write it as
[tex]\Rightarrow y=\sqrt{2x-1}[/tex]
Express x in terms of y
[tex]\Rightarrow y^2=2x-1\\\\\Rightarrow x=\dfrac{y^2+1}{2}[/tex]
Replace y be x to get the inverse
[tex]\Rightarrow f^{-1}(x)=\dfrac{x^2+1}{2}[/tex]
To prove, it is inverse of f(x). [tex]f(f^{-1}(x))=x[/tex]
[tex]\Rightarrow f(f^{-1}(x))=\sqrt{2\times \dfrac{x^2+1}{2}-1}\\\\\Rightarrow f(f^{-1}(x))=\sqrt{x^2+1-1}\\\\\Rightarrow f(f^{-1}(x))=x[/tex]
So, they are inverse of each other.
A value meal package at Ron's Subs consists of a drink, a sandwich, and a bag of chips. There are 4 types of drinks to choose from, 5 types of sandwiches, and 3 types of chips. How many different value meal packages are possible
Answers
Answer:
60 different meal packages are possible.
Step-by-step explanation:
Fundamental counting principle:
States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.
In this question:
4 types of drinks
5 types of sandwiches.
3 types of chips.
They are independent events, so, by the fundamental counting principle:
4*5*3 = 60
60 different meal packages are possible.
Family Flowers employs 17 people, of whom 14 earn gross pay of $660.00 each and 3 earn gross pay of $700.00 each on a weekly basis. What is the employer's share of total Social Security and Medicare taxes for the first quarter of the year? (Social security tax is 6.2% of wages up to $128,400. Medicare tax is 1.45% of all wages.)A. $660.00B. $700.00 C. $850.68D. $11,277.63
Answers
The cholesterol levels of a random sample of 250 men are measured. The sample mean is 182 and the sample standard deviation is 32.
a. Give the value of the point estimate of the mean cholesterol level for men in interval notation.
b. Give the value of the standard error of the mean cholesterol level for men.
c. Give the value of the margin of error of the mean cholesterol level for men for a 95% confidence interval.
d. Give the value of the point estimate of the mean cholesterol level for men in interval notation.
Answers
Answer:
182
2.0239
3.97
(178, 186)
Step-by-step explanation:
Given :
Sample mean, n = 250
Sample mean, xbar = 182
Sample standard deviation, s = 32
Point estimate for the mean ;
According to the central limit theorem ; for n > 30, the sample mean equal to the population mean.
Hence, point estimate of mean cholesterol level for men is 182
B.) The standard error = s/√n
s= 32 ; n = 250
Standard error = 32/√250 = 2.0239
C.) Margin of error :
TCritical * standard error
TCritical at 95% ; df =250 -1 = 249 = 1.96
1.969 * 2.0239 = 3.966 = 3.97
D.) The confidence interval :
Point estimate ± margin of error
182 ± 3.97
182 - 3.97 = 178.03
182 + 3.97 = 185.97
(178, 186)
Which one hurry
A.9
B.18
C.27
D.33
Answers
Answer:
It’s c I do believe
Answer:
seriously, talk to your teacher. its 21 units squared.
I guess the person who draw this had 18 units squared in mind, but failed to properly draw it.
so none of the options really fit. it's just a badly done problem. not your fault though. its just some of these little things to be just a little mad about.
identify the focus and directrix of the graph of the equation x= -1/18^y^2
i don’t get this at all, and need help.
Answers
9514 1404 393
Answer:
B. F(-9/2, 0), x = 9/2
Step-by-step explanation:
One definition of a parabola is that it is all of the points that are equidistant from the focus and the directrix. Among other things, this means the parabola "wraps around" the focus, and opens away from the directrix.
The focus is on the axis of symmetry, so shares a coordinate with the vertex. Since the vertex is a point on the parabola, it is equidistant from the focus and directrix—halfway between them.
The given equation has x get more negative as y increases, so the parabola opens to the left. This means the focus will be a point on the -x axis. Only one answer choice meets that requirement:
focus: (-9/2, 0), directrix: x = 9/2
__
The equation of a parabola with its vertex at the origin can be written as ...
x = 1/(4p)y^2
In this case, we have 4p = -18, so p = -9/2. This is the distance from the vertex to the focus. The negative sign means the focus is to the left of the vertex, and its x-coordinate is -9/2 (as noted above).
The Seattle Space Needle is 605 feet tall. If you are looking down from the top of the Space Needle at your teacher's shoes, how far away from the base of the Space Needle is your teacher standing in feet? You know the angle of depression is 65°
Answers
Answer:
282.12 ft
Step-by-step explanation:
Please find attached a graphical illustration of the question
We are given the value of the opposite side and we are to determine the value of the adjacent side. Thus, tan would be used
Tan 65 = opposite / adjacent
2.1445 = 605 / x
x = 605 / 2.1445
x = 282.12 ft
solve for x in parts below:
Answers
Answer:
x=30°
Step-by-step explanation:
50 + x =80 degree (sum of two interior opposite angles is equal to the exterior angles formed)
x=80-50
x=30 degree
Find the sum of smallest 7-digit number and largest 4-digit number
Answers
Step-by-step explanation:
[tex]smallest \: 7-digit = 1000000 \\ \\ largest \: 4 - digit \: number = 9999 \\ \\ sum = (1000000 + 9999) \\ \\ sum = \: 1009999 \\ \\ hope \: it \: is \: helpful \: to \: you \: (◕ᴗ◕✿)[/tex]
change the following into mixed fraction 13/5
Answers
Answer:
2 3/5
Step-by-step explanation:
13/5
5 goes into 13 2 time
2*5 =10
13-10 =3
There is 3 left over. This goes over the denominator
2 3/5
2 3/5
Step-by-step explanation:
13/5
5*2=10
reminder=3
divisor = 5
Dave is helping his grandmother make trail mix. His grandmother ask
him to add 1/5 cup of fruit for every 1/3 cup of nuts. To satisfy his grandmother's request, Dave mix ?? cup of fruit for a single, cup of nuts.
Answers
9514 1404 393
Answer:
3/5 cup of fruit
Step-by-step explanation:
Dave is making 3 times his grandmother's recipe, so for 3 × 1/3 cup of nuts, he needs 3 × 1/5 cup of fruit:
3/5 cup of fruit for 1 cup of nuts
A uniform probability distribution is a continuous probability distribution where the probability that the random variable assumes a value in any interval of equal length is a.different for each interval. b.the same for each interval. c.at least one. d.zero.
Answers
Answer:
Hence the correct option is Option b that is the same for each interval.
Step-by-step explanation:
The PDF for Uniform distribution in [a,b] is given by
[tex]f(x)=\frac{1}{b-a}~~~~~~a\leq x\leq b[/tex]
So the probability that the random variable assumes a value in [a,b] is given by
[tex]\int_{a}^{b}f(x)dx=\int_{a}^{b}\frac{1}{b-a}dx=1[/tex]
Therefore the correct option is b. the same for each interval.
prove the two triangles are congruent?
Answers
Answer:
they are congruent by sss axiom
Step-by-step explanation:
de=fg (given)
df=ge(given)
ef=ef(being common side)
proved brainliest plzz
Suppose that a histogram of a data set is approximately symmetric and bell shaped. Approximately what percent of the observations are within two standard deviations of the mean?
50%
68%
95%
99.7%
Answers
Answer:a
Step-by-step explanation:
