The "cold start ignition time" of an automobile engine is being investigated by a gasoline manufacturer. The following times (in seconds) were obtained for a test vehicle: 1.75, 1.92, 2.62, 2.35, 3.09, 3.15, 2.53, and 1.91. (a) Calculate the sample mean and sample standard deviation. (b) Construct a box plot of the data.
Answers
Answer:
(a) The sample mean and sample standard deviation are 2.415 and 0.5342 respectively.
(b) Shown below.
Step-by-step explanation:
The data set provided is:
S = {1.75, 1.92, 2.62, 2.35, 3.09, 3.15, 2.53, and 1.91}
(a)
Compute the sample mean and sample standard deviation as follows:
[tex]\bar x=\frac{1}{n}\sum\limits_{i}{x_{i}} =\frac{1}{8}\times 19.32=2.415\\\\\\s=\sqrt{\frac{1}{n-1}\sum\limits_{i}{(x_{i}-\bar x^{2})^{2}}}=\sqrt{\frac{1}{8-1}\times 1.9976}=0.5342[/tex]
Thus, the sample mean and sample standard deviation are 2.415 and 0.5342 respectively.
(b)
Use SPSS to form a Box plot.
Go to Graphs → Legacy Dialogs → Boxplot
A dialog box will open.
Select "Simple".
Select "Summaries for Separate Variable"
Press "Define"
Another dialog box will open.
Select the variable.
Press OK.
The box plot is attached below.
Related Questions
What is the slope of the line that passes through the points
(4, -3) and (8, -2)?
Answers
Step-by-step explanation:
Hey there!
The points are;(4,-3) and (8,-2).
Use slope formula.
[tex]slope(m) = \frac{y2 - y1}{x2 - x1} [/tex]
Put all values.
[tex]m = \frac{ - 2 + 3}{8 - 4} [/tex]
[tex]m = \frac{1}{4} [/tex]
Therefore, the slope is 1/2.
Hope it helps...
Two part-time instructors are hired by the Department of Statistics and each is assigned at random to teach a single course in probability, inference, or statistical computing. Assume that more than one section of each course is offered. List the outcomes in the sample space [Hint: each element consists of a pair of assignments]. Find the probability that they will teach different courses. Note: carefully define your notation (e.g. any events) in words before solving the problem.
Answers
Answer:
The probability that they will teach different courses is [tex]\frac{2}{3}[/tex].
Step-by-step explanation:
Sample space is a set of all possible outcomes of an experiment.
In this case we will write the sample space in the form (x, y).
Here x represents the course taught by the first part-time instructor and y represents the course taught by the second part-time instructor.
Denote every course by their first letter.
The sample space is as follows:
S = {(P, P), (P, I), (P, S), (I, P), (I, I), (I, S), (S, P), (S, I) and (S, S)}
The outcomes where the the instructors will teach different courses are:
s = {(P, I), (P, S), (I, P),(I, S), (S, P) and (S, I)}
The probability of an events E is the ratio of the number of favorable outcomes to the total number of outcomes.
[tex]P(E)=\frac{n(E)}{N}[/tex]
Compute the probability that they will teach different courses as follows:
[tex]P(\text{Different courses})=\frac{n(s)}{n(S)}=\frac{6}{9}=\frac{2}{3}[/tex]
Thus, the probability that they will teach different courses is [tex]\frac{2}{3}[/tex].
Consider this right triangle.
A
15
17
B
8
Which of the following ratios represents cos(B)?
Answers
Evaluate f(x) = 1/4x for x = -5.
A. 20
B. -1/20
C. -1 1/4
D. -4/5
Answers
Answer: C
Step-by-step explanation:
1/4th of -5 is -1.25 so in fractions that is -1 1/4 (ANSWER IS C)
the answer is C
area of a 18cm wide rectangle is 342 cm squared. what is the length?
Answers
The length would be 342 divided 18. The formula for area of a rectangle is length times width equals area, so area divided by width would be the length.
If the value of two integers differs by 3, and the product of the two integers is 108, what is the sum of the two integers?
A.21
B.19
C.25 D.23
Answers
Answer:
A
Step-by-step explanation:
Let the smallest number be n.
If the next integer differs by 3 then:
n + 3 is our second integer.
If the product is 108 then we would multiply them together.
n * (n + 3) = 108 Now solve for n.
(n*n) + (n*3) = 108
[tex]n^{2} +3n = 108[/tex] Now we move 108 to the other side by subtracting so we can factor.
[tex]n^{2} + 3n - 108 = 0[/tex]
(n )(n ) = 0
Find all the multiples of 108
1 x 108
2 x 54
3 x 36
4 x 27
6 x 18
9 x 12
Which one can we add or subtract together to get 3?
9 x 12 because 12 - 9 = 3
[tex]n^{2} + 3n - 108 = 0[/tex]
(n 12)(n 9) = 0 Now we figure out the signs. Since we have -108 one must be negative, and the 3 in the 2nd term (3n) is positive so:
(n + 12)(n - 9) = 0 Is our factored equation.
Our smallest number is 9, so n = 9
Our second number is n + 3 and 9 + 3 = 12
So our 2 integers are 9, 12, there sum would be 9 + 12 = 21
Option A.
Jane is asked to buy some chickens, dogs and ducks for her farm. The total number of animals she needs to buy is 50. She has a budget of $1500 to spend on $20/chicken, $50/dog, and $30/duck. Additionally, the number of chickens should be equal to that of ducks. Create a system of 3 equations to model the situation. Assume the number of chickens is x, dogs is y and ducks is z.
Answers
Answer:
[tex]x + y + z = 50[/tex]
[tex]20x +50 y +30 z = 1500[/tex]
[tex]x = z[/tex]
Step-by-step explanation:
Given
[tex]Chicken = c[/tex]
[tex]Dog = y[/tex]
[tex]Duck = z[/tex]
Since, she wants to buy 50 in total; This can be modeled by:
[tex]x + y + z = 50[/tex]
Considering the budget, we have:
[tex]20x +50 y +30 z = 1500[/tex]
Lastly, we have that
[tex]x = z[/tex]
i.e. Chicken = ducks
There are 20 chickens, 10 dogs and 20 ducks.
Let x represent the number of chickens, y represent the number of dogs and z represent the number of ducks.
The total number of animals she needs to buy is 50. Hence:
x + y + z = 50 (1)
She has a budget of $1500 to spend, hence:
20x + 50y + 30z = 1500 (2)
The number of chickens should be equal to that of ducks. Hence:
x = z
x - z = 0 (3)
Hence, x = 20, y = 10 and z = 20
There are 20 chickens, 10 dogs and 20 ducks.
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1. Maya's ice cream machine makes 10 cups of ice cream from 0.5 cup of sugar. How many cups of ice cream can be made with 5 cups of sugar?
Answers
Answer:
100
Step-by-step explanation:
Since ten cups of ice cream is made from .5 cups of sugar, lets first find out how many cups of ice cream can be made form one cup of sugar
.5*2=1
10*2=20
Since the ratio of sugar to ice scream is .5/10 if you do anything to the top you need to do it to the bottom
so now you have 1/20
for every one cup of sugar there are 20 cups of icecream
now you need to multiply both top and bottom by five
1*5=5
20*5=100
5/100
You can make 100 cups of ice cream
*don't forget to label your answer with cups of ice cream*
100 cups of ice cream can be made with 5 cups of sugar.
What are comparing quantities?
Comparing quantities is the qualitative relation between two quantities which reflects the relative size of both the quantities.
It is given that,
10 cups of ice cream requires = 0.5 cup of sugar
⇒ 1 cup of sugar = 10/0.5 cups of ice cream
⇒ 1 cup of sugar = 20 cups of ice cream
Hence we see that Maya's ice cream machine makes 20 cups of ice cream from 1 cup of sugar.
Similarly, 5 cups of sugar = 5 x 20 cups of ice cream
⇒ 5 cups of sugar = 100 cups of ice cream
Therefore,100 cups of ice cream can be made with 5 cups of sugar.
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Find the values of x and y.
Answers
What is the slope of this line that contains these points: (-4, -6) and (2,6)?
Answers
Answer:
The slope is 2
Step-by-step explanation:
y1-y2 . 6--6
--------- ------ =2
x1-x2 . 2--4
which answer is the right answer? will give brainliest to the best answer
Answers
Answer:
8
Step-by-step explanation:
The y is the same so you only have to calculate the difference between x.
The difference between -3 and 5 is 8.
A teacher can spend as much as
$125.00 to take students to a movie.
A movie theater charges a
$10.00 group fee and
$5.50 per ticket.
Which of the following inequalities represents the problem and could be solved to find the maximum number of students,
x, who could attend the movie?
Answers
2. Make the equation 115 divided by 5.5 =X
Your answer would be 20.9 and round that down to 20 students.
The maximum number of students, x, who could attend the movie are,
⇒ x ≈ 21
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
A teacher can spend as much as $125.00 to take students to a movie.
And, A movie theater charges a $10.00 group fee and $5.50 per ticket.
Let maximum number of students, x, who could attend the movie = x
Hence, We can formulate;
5.50x + 10 ≤ 125
Solve for x;
5.50x ≤ 125 - 10
5.50x ≤ 115
x ≤ 115 / 5.50
x ≤ 20.90
x ≈ 21
Thus, The maximum number of students, x, who could attend the movie are,
⇒ x ≈ 21
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Teresa started a game at 6:25 PM and finished it at 7:41 PM.
How long did it take her? Give your answer in minutes.
Answers
Answer:
It took 1 hour and 16 minutes
Step-by-step explanation:
Percentages
Your favorite store is having a sale. You run across a shirt that originally sold for $47, but
is on a -40% Off" rack. A pair of jeans that originally
sold for $60 is advertised for "30%
Off". Your eye is attracted to a pair of designer shoes on sale for $35. You decide to
purchase the shirt, jeans, and shoes.
1) What is the sale price of the shirt?
What is the sale price of
the jeans?
2) What is the subtotal of the shirt, jeans, and the shoes?
3) You discover a coupon for 25% off the purchase price and give it to the cashier. With
the 25% off coupon what is the pre-tax cost of your purchase?
4) If the sales tax on your purchase is 5%, what is the total amount you are charged?
5) Your credit card has a monthly interest rate of 2% and a minimum payment of $10. You
make the minimum payment every month. Fill in the chart below until you pay off your
purchase.
Payment
Balance
$10.00
New Balance
Interest
Remaining
Balance
Month
1
2
3
4
5
6
7
8
9
10
Answers
Answer:
1) Shirt = $28.20 Jeans = $42
2) subtotal = $105.20
3) with the discount from the coupon, the pre-tax cost is $83.90
4) about $ 88.10 (actual answer was $88.095)
5) i have no clue bro, im sorry
Step-by-step explanation:
The sale price of the shirt is [tex]\$28.20[/tex] The sale price of the jeans [tex]\$42.00[/tex] Subtotal is [tex]\$[/tex]105.20 Pre-tax cost [tex]\$78.90[/tex] The total amount charged with 5% sales tax is [tex]\$42.00[/tex]
The sale price of the shirt:
Given -The original price of the shirt is $47, and it is on a "40% Off" sale. To find the sale price, we can calculate [tex]40\% of \$47[/tex]and subtract it from the original price:
The sale price of the shirt = [tex]\$47 - (40\% \times\$47)[/tex]
The sale price of the shirt =[tex]\$47 - (\$18.80)[/tex]
The sale price of the shirt =[tex]\$28.20[/tex]
The sale price of the jeans:
Given =The original price of the jeans is $60, and it is advertised as "30% Off." Similar to the shirt, we can calculate the sale price of the jeans:
The sale price of the jeans =[tex]\$60 - (30\% \times\$60)[/tex]
The sale price of the jeans =[tex]\$60 - (\$18.00)[/tex]
The sale price of the jeans = [tex]\$42.00[/tex]
Subtotal of the shirt, jeans, and shoes:
Subtotal = Sale price of the shirt + Sale price of the jeans + Sale price of the shoes
Subtotal = [tex]\$[/tex]28.20 + [tex]\$[/tex]42.00 +[tex]\$[/tex]35.00
Subtotal =[tex]\$[/tex]105.20
The pre-tax cost of your purchase with the[tex]25\%[/tex] off coupon:
The 25% off coupon is applied to the subtotal. We calculate 25% of the subtotal and subtract it from the subtotal to find the pre-tax cost:
Pre-tax cost = Subtotal -[tex](25\% \times Subtotal)[/tex]
Pre-tax cost = [tex]\$105.20 - (25\% \times \$105.20)\\[/tex]
Pre-tax cost =[tex]\$105.20 - (\$26.30)[/tex]
Pre-tax cost = [tex]\$78.90[/tex]
The total amount charged with 5% sales tax:
To calculate the total amount charged, we need to add the sales tax to the pre-tax cost:
Sales tax = [tex]5\% \times Pre-tax cost[/tex]
The Total amount charged = Pre-tax cost + Sales tax
The Total amount charged =[tex]\$78.90 + (5\% \times \$78.90)[/tex]
The total amount charged = [tex]\$78.90 + \$3.94[/tex]
The total amount charged =[tex]\$82.84[/tex]
The credit card payments for months are;
Payment | Balance | New Balance | Interest | Remaining Balance
Month 1 | $10.00 | $72.84 | $1.46 | $71.46
Month 2 | $10.00 | $61.46 | $1.23 | $60.69
Month 3 | $10.00 | $50.69 | $1.01 | $49.70
Month 4 | $10.00 | $39.70 | $0.79 | $38.49
Month 5 | $10.00 | $28.49 | $0.57 | $27.06
Month 6 | $10.00 | $17.06 | $0.34 | $16.40
Month 7 | $10.00 | $6.40 | $0.13 | $6.53
Month 8 | $6.53 | $0.00 | $0.00 | $0.00
The remaining balance is paid off in full by the 8th month, and the interest is calculated based on the remaining balance each month.
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Between which two integers is the square root of 18
Answers
х
0
1
у
—125
-121
-93
-17
131
2
3
4
Answers
Answer:
12
Step-by-step explanation:
a person can read 24 pages of a book in 1/3 of an hour what is the persons reading rate in pages per hour
Answers
Answer:
72.73 pages in one hour
or 72.73/hr
Which of all the following inequalities is true for all real values of x?
Answers
Answer:
C. 1/(x^2 +1) > 0
Step-by-step explanation:
The cube of a negative number is negative, eliminating choices B and D for certain negative values of x.
1/x^2 is undefined for x=0, so cannot be compared to zero.
The value 1/(x^2+1) is positive everywhere, so that is the expression you're looking for.
1/(x^2 +1) > 0
-Which is Larger 34^7 or 10^11?
Explain you thinking.
Answers
Answer:
[tex]10^{11}[/tex] is larger
Step-by-step explanation:
[tex]34^{7} = 52,523,350,144[/tex] [tex]10^{11} = 100,000,000,000[/tex] Because 100,000,000,000 is bigger than 52,523,350,144; [tex]10^{11}[/tex] is the correct answer.I hope this helps!
3. Find the slope of the graph.
101
a.
WIN
8
3
b.
2
-2
2
3
-10 -3 -6 -4 -2
24
6
8 10
2
3
d.
2
=6
-8
-10
Answers
Answer:
It's is 3/2
Step-by-step explanation:
since the line is going up, the rise/run is going to be positive
Study the solutions of the three equations on the right. Then, complete the statements below. There are two real solutions if the radicand is There is one real solution if the radicand is There are no real solutions if the radicand is 1. y = negative 16 x squared + 32 x minus 10. x = StartFraction negative 32 plus-or-minus StartRoot 384 EndRoot Over negative 32 EndFraction. 2. y = 4 x squared + 12 x + 9. x = StartFraction negative 12 plus-or-minus StartRoot 0 EndRoot Over 8 EndFraction. 3. y = 3x squared minus 5 x + 4. x = StartFraction 5 plus-or-minus StartRoot negative 23 EndRoot Over 6 EndFraction.
Answers
Answer:
There are two real solutions if the radicand is
✔ positive.
There is one real solution if the radicand is
✔ zero.
There are no real solutions if the radicand is
✔ negative.
Step-by-step explanation:
ON MY DOG KIDS DIS RIGHT
Answer:
1.Postieve
2.Zero
3.Negative.
Step-by-step explanation
i did it on ed and got it right.
Simplify this expression:
2x? - 5xy - 6+ 4x2 – 3xy +1-xły
O 6x? - 9xy - 5
O 5x2 – 8xy-5-y
O 6x2 - 8xy-5-xy
O 6x² + 2xy-by-xy
Answers
Answer:
3xy⋅(4x
2
+2x−3y)
Step-by-step explanation:
Answer:
its c
Step-by-step explanation:
Help asap
bdndndnejejdjdjdjdjdjdjdjdjdjejdjs
Answers
Answer:
no
Step-by-step explanation:
two points cant be on the same line in a vertical pattern
Find the midpoint of the segment having the given endpoints.
(8,4) and (-5,-9)
Answers
Answer:
-5.6
Step-by-step explanation:
Add: (-15xz-4xy)+(20xy-9yz-16xz)
Answers
Answer:
=16xy−31xz−9yz
Step-by-step explanation:
The required simplified solution of the given expression is 16xy - 9yz -31xz.
Given that,
To determine the simplified solution of the given expression,
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
= (-15xz-4xy)+(20xy-9yz-16xz)
Adding the coefficients of the alike terms.
= 16xy - 9yz -31xz.
Thus, the required simplified solution of the given expression is 16xy - 9yz -31xz.
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6x+2 -1 -48-3-2x+2
Helpppppppp
Answers
x=12
This the answer hope this helps
If you need the steps please feel free to contact me in the comments
Write the equation of the line that passes
through the points (3, 1) and (-2, 6).
Answers
Answer:
x + y - 4 = 0
Hope this helps, if you need more of an explanation feel free to let me know!
please help :,(( it's due in 30 minutes
Answers
Answer:
brain went bye bye
Step-by-step explanation:
True or false and why?
Answers
====================================================
Explanation:
Utility is another way of saying happiness more or less. Marginal utility is getting that extra bit of satisfaction from buying/consuming one additional item. Saying the marginal utility is diminishing but not negative, means we have an increasing utility curve that has its rate of increase slow down. An example would be a log curve.
Inflation can be thought of as an expense. For example, if it costs $1 to get a loaf of bread one year, and then next year that cost jumps to $1.50 for that same loaf of bread, then the worker has effectively lost 50 cents on their paycheck. Zero inflation means there isn't any such expense. So in a way, this is like getting a raise.
Being paid more due to higher labor costs means that the worker gets even more money on top of the bonus money saved from zero inflation. These two aspects would provide a lot of incentive for the person to work more hours. Of course, there would be a point in which the marginal utility is far too small. In other words, the amount of additional money earned isn't worth the additional time spent working. This is likely when the worker would take time off, seek out a raise, or find some other job.
The ___________________ of a right triangle are the two sides that make up the right angle.
Answers
Answer:
a and b are the "legs" of the triangle, which are the two sides that make up the 90 degree angle. c is the "hypotenuse" of the triangle, and is the side of the triangle that is opposite the right angle (another way to say a 90º angle is "right angle"). The hypotenuse is also the longest side of the right triangle.
