Answer:
The probability that the sample mean will be between 25.5 and 27 years is 0.1359.
Step-by-step explanation:
Let X denote of age of JSOM students.
The information provided is:
[tex]\mu=24\\\sigma=9\\n=36[/tex]
According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.
Then, the mean of the sample means is given by,
[tex]\mu_{\bar x}=\mu\\[/tex]
And the standard deviation of the sample means is given by,
[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]
As the sample size is large, i.e. n = 36 > 30, the sampling distribution of the average age of all the JSOM students can be approximated by the normal distribution.
Compute the probability that the sample mean will be between 25.5 and 27 years as follows:
[tex]P(25.5<\bar X<27)=P(\frac{25.5-24}{9/\sqrt{36}}<\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}<\frac{27-24}{9/\sqrt{36}})\\\\=P(1<Z<2)\\\\=P(Z<2)-P(Z<1)\\\\=0.97725-0.84134\\\\=0.13591\\\\\approx 0.1359[/tex]
Thus, the probability that the sample mean will be between 25.5 and 27 years is 0.1359.
Find the equation of the line that is perpendicular to the given line and passes through the given point.
y = − 1/6x − 5; (14, 0)
The equation is y =______.
Answer:
The equation is y =6x-84.
Step-by-step explanation:
We need to find the equation of the line that is perpendicular to the given line and passes through the given point.
y = − 1/6x − 5; (14, 0)
Slope of required line
The equation of given line [tex]y = - \frac{1}{6} x - 5[/tex] is in slope-intercept form.
Comparing it with general formula of slope-intercept form [tex]y=mx+b[/tex] where m is slope and b is y-intercept. The slope of line m is: -1/6
So, the slope of required line that is perpendicular to given line is 6 because the equation of line that we need to find is perpendicular to the given line, so their slopes will be: [tex]m_1=-\frac{1}{m_2}[/tex]
So, slope = 6
Finding y-intercept of required line
Using slope =6 and point (14,0) we can find y-intercept of required line by slope-intercept formula
[tex]y=mx+b\\0=6(14)+b\\0=84+b\\b=-84[/tex]
Equation of required line:
The equation of required line having slope (m)= 6 and y-intercept (b)= -84 is:
[tex]y=mx+b\\y=6x-84[/tex]
The equation is y =6x-84.
someone helppp please!!
Answer:
because ΔMLN ≅ ΔYZX
=> MN = YX = 4
Step-by-step explanation:
Answer:
I think its four
Step-by-step explanation:
Solve this 2 step equation 3x-7=20
Answer:
x=9 if thats what your asking
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
3x-7=20
3x=20+7
3x=27
X=27/3
X=9
So the value of X is 9
Over the period of a year, Julie’s net worth decreased. Which of the following could be true? a. Julie’s assets and liabilities decreased by the same amount. b. Julie’s assets and liabilities increased by the same amount. c. Julie’s assets increased by more than her liabilities. d. Julie’s assets decreased by more than her liabilities. Please select the best answer from the choices provided A B C D
Answer:
D. Julie’s assets decreased by more than her liabilities.
Hope it helps❣️
Solve for www. -4(w+1) = -24
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
-4w-4=-24
-4w=-24+4
-4w=-20 to find w divide both side by -4
-4w/-4 =-20/-4
w=5
Which linear regression equation best fits the given points?
(1,18), (4,15), (5,11), (8,9), (10,7), (13,4), (15,0)
yˆ=65x+19.2
yˆ=56x−19.2
yˆ=−65x+18.9
yˆ=−56x−18.9
Answer:
Here you go! Hope I am not to late..
Step-by-step explanation:
I took the test.
Write the equation of the line that is parallel to the line y = -3x + 12 and passes through the point (-1, 6). (2 points)
Answer:
x=−9. Explanation: x=12 is a line parallel to the y-axis passing through all points in the plane with an x-coordinate of 12. therefore a line ...
x=−9 Explanation: x=12 is a line parallel to the y-axis passing through all points in the plane with an x-coordinate of 12 therefore a line parallel ... More
plzzzzzzzz hurry thnx
Answer:
0.5, 50%
Step-by-step explanation:
Answer:
1/2 a pound = 0.5 of a pound1/2 a pound = 50% of a poundI hope this helps!
(Sinθ-cosθ)(sinθ+cosθ)=1-2cos^2θ
Answer:
See below
Step-by-step explanation:
[tex]( \sin \theta - \cos \theta)( \sin \theta + \cos \theta) = 1 - 2 { \cos}^{2} \theta \\ \\ LHS = ( \sin \theta - \cos \theta)( \sin \theta + \cos \theta) \\ \\ = \sin^{2} \theta - \cos^{2} \theta \\ \\ =1 - \cos^{2} \theta - \cos^{2} \theta \\( \because \sin^{2} \theta =1 - \cos^{2} \theta) \\ \\ = 1 - 2 { \cos}^{2} \theta \\ = RHS[/tex]
Thus proved
If {x) = 3x + 2, what is (5)?
You mean f(x) = 3x+2 and what is f(5)?
f(5) = 3(5)+2
f(5) = 15+2
f(5) = 17
So f(5) = 17
A student wants to determine if different types of soil, A and B, affect the propagation of African violets. One hundred leaves from the same variety of African violet were selected. The leaves were then randomly assigned to 50 pots with type A soil and the remaining leaves were put into the 50 pots with type B soil. All of the pots were given the same amount of water and arranged in 10 rows of 10 pots near a window for light. The 50 pots with type A soil were placed closest to the window. At the end of two months, the pots with type A soil had the greatest number of pots with new growth, so the student concluded that soil type A was more effective that soil type B.
Is this a valid conclusion?
Yes, because the leaves were randomly assigned, this evenly distributed the variability in the leaves; therefore, type A soil is more effective than type B soil.
Yes, because the amount of water and light were controlled, this may have reduced the variability in the response; therefore, type A soil is more effective than type B soil.
No, because the pots with type A soil were closest to the window, they received more light, which may have led to the new growth.
No, because only African violets were used, replication was not properly implemented; therefore, we cannot conclude that type A soil was more effective.
Answer:
C
Step-by-step explanation:
No, because the pots with type A soil were closest to the window, they received more light, which may have led to the new growth. Option C is correct.
Given that,
A statement is given we have to justify which among the option is the correct reason.
The statistic is the study of mathematics that deals with relations between comprehensive data.
Here,
The pots with type A soil received more light because they were closer to the window, which may have resulted in new growth.
So, the valid conclusion is mentioned in option C.
Thus, Option C is correct.
Learn more about Statistics here:
https://brainly.com/question/23091366
#SPJ2
Find the equation of the line. Use exact numbers.
8x-2 (6x + 4) simplify by using the distributive property
Answer:
48x^2+ 20x-8
Step-by-step explanation:
Write each set of numbers in set-builder and interval notation
X>50
Answer:
[tex]\{x\ E\ Z\ |\ x > 50\}[/tex] ---- Set Builder
(50, ∞) ---- Interval Notation
Step-by-step explanation:
Given
x > 50
Required
Write as a
- Set builder
- Interval notation
As Set Builder:
x > 50 means that x is an integer and x is greater than 50.
In set builder notation, integers are represented with z.
So, the above can be represented as:
[tex]\{x\ E\ Z\ |\ x > 50\}[/tex]
This translates to:
x is a member of the set of integers such that x is greater than 50
As Interval Notation:
In interval notation, we make use of brackets to represent the intervals.
In this case > is represented by (a,b)
Where a and b are the intervals of the notation
Since x > 50, then a = 50 and b = ∞ because we only know the starting point and not the end point.
Hence: x > 50 in interval notation is (50, ∞)
Anybody know the answer to this ?
Answer:
13.08 United States Dollars
Alex and two friends paid $21.75 to see a movie.How much did each
ticket cost
Answer:
Alex and his two friends had to pay $ 7.25 for a ticket.
Step-by-step explanation:
simply divide $21.75 by 3
Answer:
i believe its $7.25
Step-by-step explanation:
$21.75 divided by 3 = $7.23
Four hot air balloons each descend 295 feet per minute for 7 minutes. Find the total change in altitude for all 4 balloons.
The total change in altitude for all 4 balloons is
(blank) feet.
Answer:
There is descending of 8260 feet in altitude for all 4 balloons.
Match each equation with its graph
Answer:
The first graph would be y=5x+2
The second graph would be y=3x+3
The third graph would be y=2x+3
Step-by-step explanation:
First Graph: The x-intercept would be (-0.4, 0). The y-intercept would be (0, 2). The line in the graph goes through both of the points.
Second Graph: x = -1.
y=3
The line in the graph goes through both.
Third Graph: x = -1.5
y = 3
The line also goes through both.
Use the SLOPE FORMULA to find the slope of the line that passes through the given points.
(1.3) and (4-7)
Answer:
[tex]m=\frac{4}{5}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (1, -3)
Point (-4, -7)
Step 2: Find slope m
Substitute: [tex]m=\frac{-7+3}{-4-1}[/tex]Add/Subtract: [tex]m=\frac{-4}{-5}[/tex]Simplify: [tex]m=\frac{4}{5}[/tex]17.9%of what number is 14.857
Answer:
83.100559
Step-by-step explanation:
0.179x=14.857
x=14.857/0.179
x=83.100559
Which angles are alternate interior angles explain
Answer:
The answer is D.
Step-by-step explanation:
hope that helps
Bobby rode 18 miles in 24 minutes. At this rate, how
many miles did he ride in 4 minutes?
help me please.........
Answer:
1. true 2. true 3.true 4. false 5. false
Step-by-step explanation: 4/4-3/4 is 1/5. You multiply the top first (4-3=1) and the bottom isn't supposed to change. so the answer is 1/4
Please Help me. And show your work
Answer:
30 girls, 20 boys
Step-by-step explanation:
in the tape diagram, we see a ration of 3:2 girls:boys
To solve, make it an equation`
3x+2x=50
5x=50
x=10
Then you multiply by 3 and 2 to get 30 and 20
Answer:
20:30
Step-by-step explanation:
50 divided into five is ten. There are exactly five boxes that make up ten kids for each box. There boxes are 30 kids in three boxes while two boxes are 20 kids and if you put all of that together it makes a total of 50 kids.
URGENT HURRY ILL MAKE YOU BRAINIEST IF YOU ANWSER. Mae ling earns a weekly salary of $375 plus a 7.5 commission on sales at a gift shop how much would she make in a work week if she sold 4,600 worth of merchandise
Answer:
I think the answer is 720!
Step-by-step explanation:
need help somebody pleaseee
Answer:
The second one I believe
answer 6, as quick as you can please
9514 1404 393
Answer:
0 ft
Step-by-step explanation:
The line hangs down 15 feet from the top of each pole, so the distance between them must be zero if the total line length is 30 feet.
In the figure, is a median. If = 6 + 10 and = 2 + 12, find the length of . Show your work.
Answer:
26.
Step-by-step explanation:
Given, BD is a median. As it divides the AC equally, that's why it will AD=CD. Given, AD= 6x+10 and CD= 2x+12
Now, AD= CD
or, 6x+10=2x+12
or, 6x-2x= 12-10
or, 4x= 2
or, x= 1/2
So the value of x is 1/2. As BD divided AC equally, both AD and CD will be equal and AD+CD= AC.
So, 6x+10+2x+12= AC
or, 8x+22= AC
or, 8 X (1/2) + 22= AC
or, 4+22 = AC
or, AC= 26.=
What is the value of 3-(-2)?
Answer:
6
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
-(-2) is equal to +2, so the equation is 3+2 which is 5
find the measure of 0. (to the nearest tenth).
A) 36.9
B) 38.7
C) 51.3
D) 53.1
Answer:
B) 38.7
Step-by-step explanation:
Answer:
A) 36.9
Step-by-step explanation:
took the test :)