The Office of Student Services at a large western state university maintains information on the study habits of its full-time students. Their studies indicate that the mean amount of time undergraduate students study per week is 20 hours. The hours studied follows the normal distribution with a population standard deviation of seven hours. Suppose we select a random sample of 125 current students. What is the probability that the mean of this sample is between 19.25 hours and 21.0 hours
There is a probability of 77% that the mean of this sample is between 19.25 hours and 21.0 hours
Z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } \\\\where\ x=raw\ score,\mu=mean,\sigma=standard\ deviation,n=sample\ size[/tex]
Given that μ = 20, σ = 7, n = 125.
For x = 19.25:
[tex]z=\frac{19.25-20}{7/\sqrt{125} } =-1.20\\\\\\For\ x=21:\\\\z=\frac{21-20}{7/\sqrt{125} } =0.62[/tex]
From the normal distribution table, P(-1.20 < z < 0.62) = P(z < 0.62) - P(z < -1.2) = 0.8849 - 0.1151 = 0.7698 = 77%
There is a probability of 77% that the mean of this sample is between 19.25 hours and 21.0 hours
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help please use picture
Answer:
y= -1x+4
Step-by-step explanation:
-1/1 is simplified to -1
Find the slope of the line that passes through (19, 72) and (20, -1).
Step-by-step explanation:
please mark me as brainlest
Find the next four terms in the sequence.
1,-4, 16, -64, ...
Answer:
256, -1024, 4096, -16384
i think that's it
it's being multiplied by -4 (geometric)
A traffic study determined that a larger city population indicates a
longer commute time for drivers. What can we say from this
information?
Answer:
There must he a circulation. May not be causation.
Nina bought four pieces of candy. She paid for it with a 10 dollar bill. Let ‘c’ represent the cost of one piece of candy. Pick the expression that represents the total amount of money she has leftover.
THE ONLY ANSWERS
4c + 10
10c - 4
4 + 10c
10 - 4c
Answer:
It should be the last one, 10 - 4c.
Step-by-step explanation:
Because base on the problem it should be a subtraction problem. "C" is the pieces of candy so it would be 4c. Your finding the amount left, so 10 - 4c is the answer.
Answer: 10 - 4c
Please help thank you
Answer:
2 × n - 1 = x
Step-by-step explanation:
for example:
[tex]2(4) - 1 = 7[/tex]
[tex]2(5) - 1 = x \\ 10 - 1 = x \\ x = 9[/tex]
What is the constant of proportionality in xy-11=5?
Answer:
xy-11=5
ANSWER:
=16
Step-by-step explanation:
hope it helps to you
mark me as a brainlest please
A student downloaded a new game on her phone that was recommended by her friend. She wanted to show her friend how good
she was doing, so she wrote down all her scores on the game. Her first five scores on the game were 432, 543, 348, 788, and 823.
On the two questions below, round to the nearest whole number when relevant.
a. What is her mean, or average, score on the game?
b. What is her median score on the game?
Answer:
a. 587
b. 543
Step-by-step explanation:
a. Mean = sum / number of numbers
To find the sum, we can add the numbers up.
432 + 543 + 348 + 788 + 823 = 2934
There are 5 numbers. Our mean is thus
2934/5 = 586.8, or 587 when rounding up. We round up because we have a .8 at the end, and 8 ≥ 5
b. To find the median, we first must order the numbers. The numbers ordered are this:
348 , 432 , 543 , 788 , 823
To find the median, we can cross off one number on each side until we are left with one or two numbers.
348 , 432 , 543 , 788 , 823
cross out one number from each endpoint
432 , 543 , 788
cross out one number from each endpoint
543
Total score:
of 15 points
(Score for Question 1: of 5 points)
1. Graph the function f(x) = sin(x)-2.
Answer:
Answer:
Step-by-step explanation:
What is the sum of the interior angle measures of the polygon
Answer:
1260°
Step-by-step explanation:
The sum of the measures of the interior angles of a polygon of n sides is
(n - 2)180°
This polygon has 9 sides, so n = 9
sum = (9 - 2)180°
sum = 7(180°)
sum = 1260°
The black graph is the graph of
y = f(x). Choose the equation for the
red graph.
1
a. y = f (2x)
b
y = f (3)
C. 2y = f(x)
= x
. d. = f(x)
у
-
Enter
Answer:
Step-by-step explanation:
The answer is d.
The black graph corresponds to the function y = f(x). The function represented in the red graph is y/2 = f(x). Therefore, option d is correct.
What is a graph representing a function ?A graph representing a function is a visual representation of the relationship between the input values (often called the "domain") and the output values (often called the "range") of the function.
For example, if we have a function f(x) = x^2, we can create a graph by choosing some input values for x (e.g. -3, -2, -1, 0, 1, 2, 3), computing the corresponding output values using the function (e.g. 9, 4, 1, 0, 1, 4, 9), and plotting the points (x,y) = (-3,9), (-2,4), (-1,1), (0,0), (1,1), (2,4), (3,9) on the graph.
Here, the black graph corresponds to the function:
y = f (x).
In the red graph, the y values are increased to two fold but the x-values are the same.
then,
relation between new y values and older function f(x) is :
y/2 = f (x).
Therefore, option D is correct.
Find more on graphs:
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Directions: Simplify the following expressions. 1. (3x-10)² 6. (-15y + 3)² 7. (q-2r) (q + 2r) 8. (m-6)³ 9. (u−5)(u+ 5) 10. (x + 2) ³ 2. (12az-11b)² 3. (3b² + 2v) ( (3b²-2v) 4. (2v + 3w)³ 5. (2t+4y) (41²-8ty + 16y2)
Answer:
1. 9x^2-60x+100
6. 225y^2-90y+9
7. q^2-4r^2
9. u^2-25
10. x^3+6x^2+12x+8
2. 144a^2z^2-264abz+121b^2
3. 9b^4-4v^2
4. 8v^3+36^2w+54vw^2+27w^3
5. -16t^2y+64y^3+3362t+6724y
Step-by-step explanation:
There you go
Question 4 (Essay Worth 1 points)
[Image: Vertical number line ranging from negative 5 to 5.]
On this number line, zero represents sea level. Plot the following points based on the description provided.
• opposite of 4
Help please
Answer:
2
Step-by-step explanation:
First one to put an answer gets Brainliest
What is 6-9461946105$)/&!5803&573!2.72!/‘u get Rory • 3
Answer:
I got its 69 or 六十九
Step-by-step explanation:
the 9-dight number that identifies the bank that a check came from is called
Answer:
im pretty sure its the routing number
Step-by-step explanation:
trust me
a linear function yand x has graduent -6/7 and y-intercept 8. write down the equation of the function.
Answer:
y = - 6/7x + 8Step-by-step explanation:
The slope- intercept form is:
y = mx + b, where m is the slope (or gradient) and b is the y-interceptWe have:
m = - 6/7 and b = 8The line is:
y = - 6/7x + 8Pls help me I’ll brainlest ASAP
whats 3-6h if h = -1
Answer:
9 is the answer.
Step-by-step explanation:
Given:
h = -1=> 3-6h
=> 3 - 6(-1)
=> 3 + 6
=> 9
Therefore, 9 is the answer.
Hoped this helped.
(422 +
+ 72 – 8) and (-2 + 3)
-
Answer:
HHSheikh Zayed road is dream of a great weekend and It is a great day ☺️ is the only thing I would like to know that you have received your name is a great day and time of year for me is the only thing I want ☺️☺️ and time again and time of reading is a great time of year for the only way we can do it in a few more days to get to get to the only thing that you have a few more days to get to the next day ☺️ is a great weekend too and time of year is the next
Step-by-step explanation:
return policy and time again and I will be in touch with you have any questions or need any further information please contact me at the only thing I would be in touch with ☺️ is the best ☺️ and time is a good time of the only thing I would
which cost the most per tablet
50 individually wrapped pain reliver talets for 9.50, 100 tablets in a bottle for 6.32 or 500 tablets in a bottle for 13.42
Answer:
It is C. 500 tablets in a bottle for 13.42
Step-by-step explanation:
9.50/50 = 0.19 cents per individually wrapped pain reliver tablets.
6.32/100 = 0.06 cents per tablets in a bottle.
13.42/500 = 0.02 cents per tablets in a bottle.
Hurry!! Answer it please:))
Answer:
Option C.
Domain:
{3, 0, 2, 4}
Step-by-step explanation:
The domain is the set of all the values of x.
Answer:
C is the answer!:)
Step-by-step explanation:
Domain is all numbers on the left and range is on the right
Can someone help me??
Answer:
The answer is B
Step-by-step explanation:
Help me pls :D Make the equations match with the number
Answer:
18 + s = 33 (drag to 15)
27 = 9 × s (drag to 3)
40 - s = 23 (drag to 17)
5 × s = 35 (drag to 7)
18/s = 3 (drag to 6)
m/5 = 10 (drag to 50)
m + 14 = 18 - m (drag to 2)
m + m + 12 = 22 (drag to 5)
n + 7 = 18 (drag to 11)
n-9 = 22 (drag to 31)
help i made it worth a lot of points
Answer:
36x^6/y^10
Step-by-step explanation:
First evaluate the parentheses, 6x^3 x 6x^3 = 36x^6
y^5 x y^5 = y^10 ; remember m^k x m^r = m^k+r
final answer should be 36x^6/y^10
hope this helps :')
Answer:
[tex] \dfrac{36x^6}{y^{10}} [/tex]
Step-by-step explanation:
First, deal with the exponent 2 outside the parentheses.
Raise each factor to the second power.
[tex] (\dfrac{6x^3}{y^5})^2 = [/tex]
[tex] = \dfrac{6^2(x^3)^2}{(y^5)^2} [/tex]
To raise a power to a power, multiply the powers.
[tex] = \dfrac{36x^6}{y^{10}} [/tex]
How do you round 104,000 to the nearest 100,000
It would be 100,000. If it were anything above 150,000, then it would round up to 200,000.
Hope this helps ^^
Answer:
"To round a number to the nearest 100,000, check the ten thousands digit to decide whether to round up or round down. If the ten thousands are 50,000 or more, round up. If they are 49,999 or less, round down. 450,000 to the nearest 100,000 is 500,000."
CONTENT NOT FROM MY WORD!!!
What is the value of the expression 2/5m−1/3 when m = 3?
1/15
13/15
23/15
I don't know.
Answer:
13/15
Step-by-step explanation:
i took the test :)
What is the probability of rolling a number greater than 1?
Type a fraction
Step-by-step explanation:
A die has six faces numbered from one to six. Five of the faces have numbers greater than one so the probability of rolling a number greater than one is 5 out of six or as a fraction,
[tex]\dfrac{5}{6}[/tex]
Simplify |x| - |-x|.
Answer:
0
Step-by-step explanation:
Two cases: if [tex]x\ge0[/tex]
[tex]|x| - |-x| = x - x= 0[/tex]
Instead if [tex]x<0[/tex]
[tex]|x| -|-x| = -x -(-x)=-x+x=0[/tex]
Alternatively you can try to graph both [tex]f(x) = |x|; g(x)=|-x|[/tex] and checking the vertical distance between the two graphs
A student missed 15 problems on a mathematics test and received a grade of 80%. If all the problems were of equal value, how many problems were on the test?
Answer:
75 problems
Step-by-step explanation:
Let x be the number of problems on the test and x-15 be the number of correct answers the student got on the test:
(x-15)/x = 0.80
x-15 = 0.80x
-15 = -0.20x
75 = x
Therefore, there were 75 problems on the test