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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mZLOM= 3x – 15°
mZMON = 5x – 23°
Find mZMON:
Answer:
57
Step-by-step explanation:
Together both angles equal 90
(3x - 15) + (5x -23) = 90
Combine like terms
8x - 38 = 90
Add 38 to both sides
8x = 128
Divide by 8
x = 16
You can check by replacing x with 16 and seeing if it still equals 90.
To find angle MON... replace x with 16
5(16) - 23
Angle MON = 57
I hope this helps!!
A car is traveling at a constant speed of 65 miles per hour. Drag each list or statement below to show whether it describes the independent quantity or the dependent quantity.
Answer:
dependent quantity.
Step-by-step explanation:
Solve
[tex]\frac{a-1}{a-3} =\frac{a+1}{a-4}[/tex]
Answer:
[tex]a=\frac{7}{3}[/tex]
Step-by-step explanation:
[tex]\frac{a-1}{a-3}=\frac{a+1}{a-4}[/tex]
[tex](a-1)(a-4)=(a-3)(a+1)[/tex]
[tex]a^2-5a+4=a^2-2a-3[/tex]
[tex]-5a+4=-2a-3[/tex]
[tex]-3a+4=-3[/tex]
[tex]-3a=-7[/tex]
[tex]a=\frac{7}{3}[/tex]
Describe how to find your x-intercepts ?
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 :)
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
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!!!
A triangle can have a maximum of how many non-acute angles?
Answer:
we have only two or three acute angles in a triangle. so ima say at least 1
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°
Please help
Find the mean
of the data.
Data: 46 22 46 49 45 39 40 42 41 39 40 36
Answer:
40.083
Step-by-step explanation:
The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.
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]
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.
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
The sum of two numbers is 58.25. The second number is 14 less than 2 times the first number. What are the two numbers?
plz fast
Answer:
The first number is 24.08 and the second number is 34.17
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)
If we identify the points as follows, what are
the inputs to the slope formula?
(-1, -2) and (3, 0)
Answer:
B
Step-by-step explanation:
Answer:
it is -2
Step-by-step explanation:
i got it right
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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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]
Jay works as a waiter at a restaurant.
He works 12 hours each weekend. Jay makes $5.50 per
hour and he gets to keep 60% of his tips.
If Jay wants to earn $150 before taxes, how much tip
money should he get during the weekend?
PLEASE HURRY
Answer:
67.33.
Step-by-step explanation:
To figure out the tip, you need to find 20% of $52.60.
0.2×52.6=10.52
You should leave $10.52 for the waiter if you want to leave him exactly 20%.
To figure the tax, you need to find 8% of $52.60.
0.08×52.6=4.208
Next, add them up:
52.6+10.52+4.208=67.328
The total bill, including tax and tip, will be $67.33.
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 + 8Question 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:
75-7+(6x2)+1 exponent 3 on top of the 1
Step-by-step explanation:
75-7=68 +(12)+1 exponent 3 meaning one multiplying itself three times so
68+12+1×1×1
80+1×1
80+1
=81
Find the slope of the line that passes through (19, 72) and (20, -1).
Step-by-step explanation:
please mark me as brainlest
There is a cookie jar in Julio's kitchen filled with 7 cookies. His mother bakes some more cookies. Now there are 14 cookies. How many cookies did Julio's mother bake.
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 solution to 12x=4x2+9? x=23
Answer:
x = 17/12
Step-by-step explanation:
12x = 4 x 2 +9
12x = 8 +9
12x = 17
x = 17/12 After divided
Find the value of the expression
Answer:
20
Step-by-step explanation:
t=1
u=2
t+8+u+8+1=1+8+2+8+1=20
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)
what is the answer to this question
Answer:
a) 32km
b) 40 miles
Step-by-step explanation: