Answer: 187.5 gallons of gas
Step-by-step explanation:
He travels 30000 miles per year, and each gallon lets him travel 16 miles. Divide 30000 by 16 to get the amount of gas he uses in a year, which amounts to 187.5 gallons of gas.
An IQ test is designed so that the mean is 100 and the standard deviation is 21 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 99% confidence that the sample mean is within 6 IQ points of the true mean. Assume that σ=21 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation.
Answer:
The required sample size is 82. This number of people could be sampled in an afternoon, for example, at a commercial center in a city, which means that it is a reasonable sample size for a real world calculation.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Assume that σ=21 and determine the required sample size.
A sample size of n is needed.
n is found when M = 6. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]6 = 2.575\frac{21}{\sqrt{n}}[/tex]
[tex]6\sqrt{n} = 2.575*21[/tex]
Dividing both sides by 3
[tex]\sqrt{n}= 2.575*3.5[/tex]
[tex](\sqrt{n})^2 = (2.575*3.5)^2[/tex]
[tex]n = 81.2[/tex]
Rounding up:
The required sample size is 82. This number of people could be sampled in an afternoon, for example, at a commercial center in a city, which means that it is a reasonable sample size for a real world calculation.
On a coordinate plane, line A is the y-axis, line d is the x-axis, point C is at (0, 0), and point B is a quadrant.
Use the drop-down menus to identify the parts of the coordinate plane.
Line A is the .
Region B is .
Point C is the .
Line D is the .
Answer:
Line A is the
✔ y-axis
Region B is
✔ a quadrant
Point C is the
✔ origin
Line D is the
✔ x-axis
Step-by-step explanation: Did it on Edgen
Answer:
its line d
Step-by-step explanation:
I did the test
im almost done with this hw. plz help!!! give explanation if you actually know the answer so ik u dont just want points
Answer:
B or C
Step-by-step explanation:
Because there is a 50% chance on landing on a odd number 2 or a even number 2.
Hope this helps bye
Which of the following is a non-rigid transformation?
Answer:
c
Step-by-step explanation:
Answer:
B: Dilation
Step-by-step explanation:
Translations, rotations, and reflections are all rigid transformations because the image isn't altered. This makes a dilation a non-rigid transformation because the image is getting larger or smaller.
A group of 15 people were surveyed about the month they were
born. How many of the students were born in March?
.
3/5 born in September
1/3 born in December
3(x-5) = 2(x-5)+x true or false?
Answer:
FALSE
Step-by-step explanation:
In order to solve this equation,
First, we must write it out
3(x - 5) = 2(x - 5) + x
Then, we must use the Distributive Property
3x - 15 = 2x - 10 + x
Next, we must Combine Like Terms
3x - 15 = 3x - 10
Finally, we can Subtract The Coefficients
-15 = -10
Because -15 does not equal to -10, this equation has no solution
IT IS FALSE
if you have more questions, comment me below or add another question
HELPPP
I HATE LINKS
Pretty sure it´s 12.25
61.25 /5=12.5
you can check this by doing 12.5 x 5 ; 15 or 30 and you´ll get the same product in monthly earned
Help be genuine will mark brainliest
I need help with this
Answer:
sience -2 is to the left of 2
_
. 3
Jacey has 40 pizzas to sell in the concession
stand at a basketball game. Each pizza has
been cut into 8 slices of equivalent size. In the
first hour, Jacey sold 16% pizzas. In the second
hour, she sold 18 pizzas. How many pizzas
does Jacey have left to sell?
Cassandra reads 28 pages of a book in 1 1/6 hours. Express her reading speed in pages per hour?
Answer:
0.24 pages per hour
Step-by-step explanation:
To solve this you have to divide total pages by the hours to get the speed per hour. Here is the equation;
28 / 116 = 0.2413793103448276
Hope this helps!
Answer will be a fraction.
A group of coins is shown below.
What is the probability and its
complement of randomly
selecting a nickel?
Answer:
1/3
Step-by-step explanation:
3 out of the nine coins are nickels, when that is simplified your fraction becomes 1/3
Pearl sent a box of 36 apples and oranges to her sister if 5/9 of shipments were apples how many apples did she send
Answer:
20 apples
Step-by-step explanation:
you do 36×5/9
36÷9=4
4×5=20
What is the sum of the series? 84 Σ k=1 (3k − 8)
Answer:
What is the sum of the series? 84 Σ k=1 (3k − 8)
10,038
Step-by-step explanation:
Answer is C
Answer:
1. C. 10,038
2. C. 530,556
Step-by-step explanation:
Edge
What ions combine together to form
water in a neutralization reaction?
Answer: it's H^+ and OH^- ions
Step-by-step explanation:
What is the probability of correctly guessing at random exactly 5 correct answers?round your answer to the nearest whole number.
A)5%
B)15%
C)45%
D)75%
Answer: There are 20 sets of numbers in the picture, one set is all 1's, which would be having all 5 answers correct.
Divide 1 by 20 to get 5%.
The answer is A.
Step-by-step explanation:
A new shopping mall is considering setting up an information desk manned by one employee. Based upon information obtained from similar information desks, it is believed that people will arrive at the desk at a rate of 20 per hour. It takes an average of 2 minutes to answer a question. It is assumed that the arrivals follow a Poisson distribution and answer times are exponentially distributed. Assume that the information desk employee in Problem 1 earns $10 per hour. The cost of waiting time, in terms of customer unhappiness with the mall, is $12 per hour of time spent waiting in line. Find the total expected costs over an 8-hour day
Answer:
tsc = 8*1*10 = $80
twc = 8*20*0.0667*12 = $128.06
tc = 80 + 128.06 = $208.06
Step-by-step explanation:
To find the total expected costs for an 8 hour period, first you must find the total service costs (tsc) and the total waiting costs (twc) as the two costs are what make up the total cost (tc).
Total service cost = (the number of channels)(cost per channel)
tsc = m*Cs
There is only 1 employee so the number of channels is 1.
The cost for this channel is $10 per hour, so 10 * 8 hours in the day.
Total waiting cost = (total time spent waiting by all arrivals)(cost of waiting)
twc = (number of arrivals)(average wait per arrival) Cw
The number arrivals is at the rate of 20 per hour.
The average wait per arrival was found as Wq previously.
Wq = 20/(30*(30-20)) = 0.0667 hours
The cost of waiting (Cw) is the $12 per hour multiplied by the 8 hour day.
Total Expected Cost for an 8 hour day is the sum of the total service cost plus the total waiting cost.
The perimeter of a playing field for a certain sport is 174 ft. The field is a rectangle, and the length is 45 ft longer than the width Find the dimensions.
The width of the playing field is 20 ft.
(Type an integer or a decimal.)
Answer:
21 ft by 66 ft
Step-by-step explanation:
From the question,
P = 2(L+W)............... Equation 1
Where P = Perimeter of the playing Field, L = Length of the playing Field, W = width of the playing Field.
If the Length of the Field is 45 ft longer than the width,
L = 45+W............ Equation 2
Substitute Equation 2 into equation 1
P = 2(45+W+W)
P = 90+4W............. Equation 3
Given: P = 174 ft.
Substitute into equation 3
174 = 90+4W
4W = 174-90
4W = 84
W = 84/4
W = 21 ft.
Substituting the value of W into equation 2
L = 45+21
L = 66 ft.
Hence the dimensions of the playing field is 21 ft by 66 ft
Jamal and Brianna each bought 3 oranges. They sliced each orange into 6 pieces. How many oranges slices did Jamal Brianna have altogether?
Answer:The Answer is 18
Step-by-step explanation:if you have 3 oranges and each orange is sliced into 6 pieces each you multiply 3 by 6 and you get 18 and how you get 18 is you can add 6 three different times. :)
Pleaseee help (no links)
Answer:
1/8(smallest), 3/4(greatest)
Step-by-step explanation:
3/8=0.375
1/4=0.250
1/8=0.125
1/2=0.500
3/4=0.750
5/8=0.625
A baseball team loses twice as many games as it wins.The baseball season is 162 games long.How many games will the team lose
Answer:
The team will lose 108 games
Due in 5 mins!! FIND THE MISSING LENGTHS!!!!!
The slope of the line whose equation is 2x + 5y + 1 = 0 is
0-2/5
05/2
0-1/5
Answer:
0-2/5
I think this is it ;-;
what is the GCF of 90, 135, 225
Answer:
45 I believe.* u no ketchup
What is the width of the juice box?
Answer:
3.99928901529
Step-by-step explanation:
multiply 12.5 by 4.5 and you get 56.25 and you divide 225 by 56.25 and you get 3.99928901529
If Jim works at Fire Fighting Equipment, has $32,874 in sales in one week,
and as paid a weekly salary of $452 plus a commission of .9% on sales
between $15,000 and $25,000, with 1.1% paid on sales in excess of
$25,000, no commission is paid on the first $15,000, what is his gross
earning?
The model below represents 5x = 15.
Which is the value of x in the equation 5x = 15?
help pleaseeee , asap
Answer:
74
Step-by-step explanation:
1. Showing your knowledge in the problem
Well, you know that a straight line is 180 degrees, right? And you know that the angles are 52 degrees and 54 degrees. So, your equation would be set up like this: 52 + 54 + ____ = 180
2. What is 52 + 54?
106
3. Subtract 180 - 106
74
Hope that helps!
Answer:
180 - 52 - 54 = 74
x = 180 - 74 = 106°
Three postal workers can sort a stack of mail in 15 minutes, 15 minutes, and 30 minutes, respectively. Find how long it takes them to sort the mail if all three work together.
min
Answer: 10 minutes
Step-by-step explanation:
x·1/20 + x·1/25 + x·1/100 = 1
Multiply each term by 100 to clear the equation of all fractions
100x/20 + 100x/25 + 100x/100 = 100
5x + 4x + 1x = 100
10x = 100
x = 10
The answer is 10 minutes
Complete the statement. Enter your answer in the box. Use fraction strips or number lines to help.
Answer:
you did not post a question?
Step-by-step explanation:
