Answer:
1/2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
1/2t + 3/8
t = 1/4
Step 2: Evaluate
Substitute: 1/2(1/4) + 3/8Multiply: 1/8 + 3/8Add: 4/8Simplify: 1/2A real-estate company appraised the market value of 36 homes in Lyttelton and found that the sample mean and standard deviation were $150,000 and $17,000 respectively. The real-estate company also appraised the market value of 45 homes in Aranui and found that the sample mean and standard deviation were $100,000 and $12,000 respectively. Calculate the 90% confidence interval estimate for the population difference in market value between the Lyttelton and Aranui areas .
Solution :
Sample size Sample mean Sample S.D.
Sample 1 [tex]$n_1=36$[/tex] [tex]$\bar{x}_1=150,000$[/tex] [tex]$s_1=17,000$[/tex]
Sample 2 [tex]$n_2=45$[/tex] [tex]$\bar{x}_2=100,000$[/tex] [tex]$s_2=12,000$[/tex]
[tex]$df = \frac{\left(\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}\right)^2}{\frac{1}{n_1-1}\left(\frac{s_1^2}{n_1}\right)^2+\frac{1}{n_2-1}\left(\frac{s_2^2}{n_2}\right)^2}$[/tex]
= 60
Therefore, significance level, α = 0.1
Critical value, t* = 1.6706
So, the margin of error, [tex]$t^*=\sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}}$[/tex]
= 559.9896
Lower limit, [tex]$(\bar x_1-\bar x_2)-\text{(margin of error)}=44402.0104$[/tex]
Upper limit, [tex]$(\bar x_1-\bar x_2)+\text{(margin of error)}=55597.9896$[/tex]
Therefore 90% C.I. is (44402.0104, 55597.9896) or [tex]$44402.0104 < \mu_1 - \mu_2 < 55597.9896$[/tex]
Charlie's bill at the diner was $18.75. He left a tip of $3.40. What percentage of a tip did he leave? (Round to the nearest whole number) *
whoever answers this first gets 16 points and a brainliest
Answer:
18.1333%
Step-by-step explanation:
I THINK this is the answer,
Enter the equation of the line in slope-intercept form.
The line perpendicular to y = −2x that passes through (0, 0).
The equation of the line that passes through (0, 0) is y = .
Answer:
The equation is;
y = x/2
Step-by-step explanation:
General form of the equation of a straight line is;
y = mx + c
where m slope
For the given equation , the slope is -2
If two lines are perpendicular, then the product of their slopes is -1
So the slope of the second line will be
-2 * m2 = -1
m2 = -1/-2
m2 = 1/2
Using the point-slope form, we have
y-y1 = m(x-x1)
Here (x1,y1) = (0,0)
y-0 = 1/2(x-0)
y = 1/2x or simply
y = x/2
Help please
Show two different ways to factor
-2x - 10
When Earth is tilted towards the Sun we receive BLANK Sun rays
A. Direct
B. Indirect
Answer: i think A. Direct
Find the slope of a line parallel to y = 1/2x + 3.
Answer:
The slope is 1/2
Step-by-step explanation:
hope this helps
Answer:
Slope = 1/2
Step-by-step explanation:
Parallel lines have same slope.
Slope = (1/2)
Can Someone Tell Me If I will Pass My 7th Period With The Grades I Have for semester 1 A+M1, BT1, FM2, DT2, FSemExam, C+S1 Grade? someone plz tell me
Answer
If u fail the 3 main courses math, ela, and social studies you would fail, but two F's I dont think ur going to fail good luck though
Step-by-step explanation:
Which of these strategies would eliminate a variable in the system of equations?2x−5y=13
−3x+2y=13
A. Multiply the top equation by 2, multiply the bottom equation by 3, then add the equations.
B. Subtract the bottom equation from the top equation
C. Multiply the top equation by 3, multiply the bottom equation by 2, then add the equations.
Answer:
We conclude that when we multiply the top equation by 3, multiply the bottom equation by 2, then add the equations, it would eliminate the variable 'x'.
Thus, option (C) is true.
Step-by-step explanation:
Given the system of the equation
2x−5y=13
−3x+2y=13
Multiply the top equation by 33(2x−5y) = 3(13)
6x - 15y = 39
Multiply the bottom equation by 22(−3x+2y) = 2(13)
-6x + 4y = 26
Adding both equations
6x - 15y = 39
+
-6x + 4y = 26
___________
0x - 11y = 65
-11y = 65 ∵ x variable eliminates
Divide both sides by -11
y = -65/11
Therefore, we conclude that when we multiply the top equation by 3, multiply the bottom equation by 2, then add the equations, it would eliminate the variable 'x'.
Thus, option (C) is true.
Find the value of y if the value of x is 2 for each equation and match it with the appropriate result.
2 + y = 5
3x + 2y = 6
2x + y = 6
5x + 3y = 4
drag & drop the answer
-2
3
-3
0
2
2
9514 1404 393
Answer:
3, 0, 2, -2
Step-by-step explanation:
Put x=2 into each equation and solve for y.
2 + y = 5
y = 5 -2
y = 3
3x +2y = 6
3·2 +2y = 6
2y = 6 -6 = 0
y = 0
2x +y = 6
2·2 +y = 6
y = 6 -4
y = 2
5x +3y = 4
5·2 +3y = 4
3y = 4 -10 = -6
y = -2
A farmer bought a tractor for Rs 400000 and sold it
after 2 years at 10% depreciation rate per year.
What is the cost of tractor after 2 years? Find.
Step-by-step explanation:
Hope my answer helps mark me brainliestx2 + 10 = 6
may i quickly have this answer?
Answer:
If that is [tex]x^{2} +10=6[/tex] then answer is [tex]x=\pm2i[/tex]
If that is [tex]2x+10=6[/tex] then answer is [tex]x=-2[/tex]
Find P(2) when p = 0.60
help pls
Answer:
The answer is 1.2
Step-by-step explanation:
since P is 0.60, you multiply both together to get 1.2
Maria made 252 calls in 36 days. What is the average number of calls he made in a day?
Answer:
7 calls in a day
Step-by-step explanation:
You divide 252 by 36 which equals 7
Answer:7 calls in a day
Step-by-step explanation:
Can you help meh pls
PLEASEEE HELP WILLL GIVE BRAINLEAST!!!!!!
Which equation models the trend line?
A. y = –1.3x + 2
B. y = 1.3x + 2
C. y = –1.3x – 2
D.y = 1.3x – 2
Answer:
B. y = 1.3 + 2
Step-by-step explanation:
The slope is positive, and the y intercept is at positive 2.
list the points in a graph of f where f(x)= -2
equations is f(x)= 3x²-x-2
Answer:
(0,-2), (1/3,-2)
Step-by-step explanation:
A line segment AB has the coordinates A (2,3) and B ( 8,11). Answer the following question. What is the slope of AB?
Answer:
4/3
Step-by-step explanation:
(Y2-y1)/(x2-×1) is slope for 2 points
(11-3)/(8-2)
11-3=8
8-2=6
8/6=4/3
Answer: The slope is m = 4/3
I’m doing a percent equation and I need help here is the question 90% of blank =72
Answer:
80
Step-by-step explanation:
90/100*x=72
9/10*x=72
x=72*10/9
x=80
a pound of rice crackers cost 2.88 nathan purchased 1/3 pound of crackers how much did he pay for the crackers
Answer:
0.96
Step-by-step explanation:
Answer:
If you're asking how much it would cost then
Nathan purchased 1/3 pounds of crackers for 0.96$
Step-by-step explanation:
after 1 1/2 hours Chris had collected 1/4 cup of water what is the rate in cups per hour
Answer
0.167 cups per hour
Step-by-step explanation:
The schools says they will take the students to see the movie with more than 30% of the votes. Which type of movie will the 7th graders be seeing? Explain your reasoning.
7th grade movie votes:
drama-3
comedy-8
action-4
Work:
Fraction Drama:
Fraction Comedy:
Fraction Action:
Convert to Percent:
Select the correct answer.
Which equation is equivalent to the formula below?
y = a(x-h)^2+k
Answer:
a=y-k/(x-h)^2
A cube with a volume of 75 cm is dilated bya factor of 5.
What is the volume of the dilated cube?
Enter yOur answer in the box
cm
Answer:
The volume of the dilated cube is 9375cm³. The volume of the original cube is 75 cm³. The scale factor for the dilation is 5. We multiply the volume of the original cube by 125 to obtain the volume of the dilated cube.
Step-by-step explanation: If thats
not right, then i am sorry, i am just getting started
Write the equation for the line
Answer:
y=4x+3
Step-by-step explanation:
The slope is positive 4 and the y intercept is 3
Answer:
y = 4x + 3
Step-by-step explanation:
y = mx + b
m is the slope and b is the y-intercept
The slope is how much units it goes up/down while how much units it goes left/right from one point to the other. So two points we'll use for reference is (-1, -1) and (0, 3). You want to make sure the points u choose are whole numbers cause they're easier to tell. So the distance between those 2 points if it goes to the right once and goes up 4 units. Left/right is x and up/down is y, y/x is how u write the slope. So it's 4/1 which is just 4
The y-intercept is just where the line intercepts on the y-axis. The line goes through the point 3 on the y-axis, so it's 3
Input the numbers in the equation and it's y = 4x + 3
Please help!!!! Due soon!!
I’ll mark you the brainliest answer! Please
Answer:
3/2 or 1.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
X+2
F(x) +3
SOMEONE PLEASE HELP WILL MArk BRAINLIEST ‼️‼️
Answer:
y=3x+2
Step-by-step explanation:
The expression
*3 + 2x2 + x + 6
is equivalent to
x + 2
(3) 2x2 + x + 6
(1) x2 + 3
4
4
(2) x2 +1 +
x + 2
(4) 2x2 + 1 +
+ 2
Answer:
(2) x2+1+4/x+2
Step-by-step explanation:
I hope i am right sorry if i am wrong.
The division of expression will give -
f(x) = x² + 1 + 4/(x + 2)
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the expression as -
f(x) = (x³ + 2x² + x + 6)/(x + 2)
The given expression is -
f(x) = (x³ + 2x²)/(x + 2) + (x + 6)/(x + 2)
f(x) = x²(x + 2)/(x + 2) + (x + 6)/(x + 2)
f(x) = x² + (x + 6)/(x + 2)
f(x) = x² + (x + 2)/(x + 2) + 4/(x + 2)
f(x) = x² + 1 + 4/(x + 2)
Therefore, the division of expression will give -
f(x) = x² + 1 + 4/(x + 2)
To solve more questions on algebraic expressions, visit the link below -
brainly.com/question/1041084
#SPJ6
Question is attached above.
Answer:
the last one
Step-by-step explanation:
hope this help
this is james
The diagram below shows a rectangular sheet of cardboard with 2 circular
pieces cut from it. The radius of each of the circular pieces is 3cm. Find the
area of remaining card.
Answer:
Two sector of 90 degree cut out(90*2=180 degree) means semicircle
perimeter of circle= 2πr
= 2*22/7*3=18.85 cm
perimeter of semicircle=18.85/2=9.42 cm approx
Briefly describe this graph of a Ferris wheel.
A graph has time on the x-axis and height on the y-axis. The graph increases and decreases through 4 cycles.
Answer:
As time increases, the height of the person riding the Ferris wheel goes up and down. The Ferris wheel makes 4 rotations. The highest points on the graph are when the Ferris wheel is at its highest height. The lowest points on the graph are when the Ferris wheel is at the starting position.
Step-by-step explanation:
Answer:
The Ferris wheel makes 4 rotations. The maximum points on the graph represent when the Ferris wheel is at the top, and the minimum points on the graph represent when the Ferris wheel is at the bottom. This is what it said
step-by-step explanation:
Sample question endogeneity 2021