Answer:
3,272
Step-by-step explanation:
8 x 400 = 3200
8 x 9= 72
3200 + 72 = 3,272
Write an equation of the line that passes through the points (3,6) and (4,9)
Answer:
y=3x-3
Step-by-step explanation:
slope = change in y/change in x
slope = 3/1 = 3
y-intercept = y value when x=0
go 3u left, 3x3 = 9 so 9u down
(0,-3)
slope = m = 3
y-int = b = -3
y=mx+b
y=3x-3
Among 320 randomly selected airline travelers, the mean number of hours spent travelling per year is 24 hours and the standard deviation is 2. 9. What is the margin of error, assuming a 90% confidence level? Round your answer to the nearest tenth.
The margin of error of the random selection is 0.29
The given parameters are:
[tex]n = 320[/tex] --- the sample size
[tex]\sigma = 2.9[/tex] --- the standard deviation
[tex]\bar x = 24[/tex] --- the mean
[tex]\alpha = 90\%[/tex] --- the confidence level.
The margin of error (E) is calculated as follows:
[tex]E = z \times \sqrt{\frac{\sigma^2}{n}}[/tex]
So, we have:
[tex]E = z \times \sqrt{\frac{3.2^2}{320}}[/tex]
[tex]E = z \times \sqrt{\frac{10.24}{320}}[/tex]
The z-value for 90% confidence level is 1.645.
Substitute 1.645 for z
[tex]E = 1.645 \times \sqrt{\frac{10.24}{320}}[/tex]
[tex]E = 1.645 \times \sqrt{0.032}[/tex]
Take square roots
[tex]E = 1.645 \times 0.1789[/tex]
Multiply
[tex]E = 0.2943[/tex]
Approximate
[tex]E = 0.29[/tex]
Hence, the margin of error is 0.29
Read more about margin of error at:
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can u answer this question?
Step-by-step explanation:
sure, this is one of the simplest things to do in math : the absolute value. it just delivers the positive value of a value.
if the value is already positive, the result is the same positive value. if the value is negative the result is the corresponding positive value.
really, that is all that is there to it.
so,
|11| = 11
|-12| = 12
no big magic, no mystery, no tricks or formulas to know.
it just is ...
a farmer has sheep and hen. the sheep and hens together have 100 heads and 356 legs how many sheep and hen are there
Answer:
22 hens and 78 sheep
Step-by-step explanation:
Let the number of hens = x
Number of sheep = y
Total heads = 100
x + y = 100 --------------------(I)
x = 100 - y
Number of legs of 'x' hen = 2*x = 2x
Number of legs of 'y' sheep = 4*y = 4y
total legs = 356
2x + 4y = 356 -----------------------(II)
Substitute x = 100 -y in equation (II)
2(100 - y) + 4y = 356
2*100 - 2*y + 4y = 356
200 - 2y + 4y = 356 {Combine like terms}
200 + 2y = 356 {Subtract 200 from both sides}
2y = 356 - 200
2y = 156 {Divide both sides by 2}
y = 156/2
y = 78
Plugin y = 78 in equation (I)
x + 78 = 100
x = 100 - 78
x = 22
22 hens and 78 sheep
Need help with how to write the standard form of a slope in general.
Please explain, thank you!
Answer:
Hey there! Hope this helps a little!
Step-by-step explanation:
So to begin with the standard slope form equation is Ax+By=C
Lets say the question is 2x+3y=12 what you wanna do first is get y all by its self so what you so is subtract 2x from 2x what you do to one side make sure to do it on the other side subtract 2x from 12
Now you will have -2x/3+12/3
Solution is y=-2/3x+4 please let me know if you need further help!
8. If the measure of one side of a square is increased by 2 centimeters and the measure of
the adjacent side is decreased by 2 centimeters, the area of the resulting rectangle is
32 square centimeters. Find the measure of one side of the square (the original figure).
Answer:
6 cm
Step-by-step explanation:
If the original side length is x, then the modified square has an area of ...
A = LW
32 = (x +2)(x -2) = x^2 -4
36 = x^2 . . . . . . . . add 4
6 = x . . . . . . . . . . take the square root
The original figure has a side length of 6 cm.
__
Check
The modified figure is 8 cm by 4 cm = 32 cm^2.
A wheel has a radious of 50cm. How many times would the wheel go around if it rolled for 10km
pleaseeeeeee helpppppppp
Answer:
B) Multiplying by 0
Step-by-step explanation:
This answer is correct because lets say we have a nonzero number, (IN this case lets say 4) 4+0 is 4, and that does not change the value because it is still 4, so A is not correct. Multiplying by 1 and dividing by one leads to the same conclusion. They both wind up to 4. The only one is B) because 4x0 is 0 and that isn't 4, so it changes value.
Hope this helped :)
The formula for the area of a parallelogram is A = bh, where b is the base and h is the height. A parallelogram that is not drawn to scale. The height is labeled (x minus 4) centimeters. The base is labeled (2 x squared 2 x minus 6) centimeters. Which simplified expression represents the area of the parallelogram? â€"4x3 14x â€" 24 square centimeters 2x3 â€" 6x2 â€" 14x 24 square centimeters â€"4x3 â€" 14x 24 square centimeters 2x3 6x2 14x 24 square centimeters.
The simplified expression for the area of the parallelogram is A = 2x³ - 8x² - 6x + 24
The base of the parallelogram is represented by b
[tex]b = (x - 4)[/tex]
The height of the parallelogram is represented by h
[tex]h = (2 {x}^{2} - 6)[/tex]
The area of the parallelogram is represented by A
A = bh
A = (x - 4)(2x²- 6)
A = 2x³ - 6x - 8x² + 24
A = 2x³ - 8x² - 6x + 24
The simplified expression for the area of the parallelogram is A = 2x³ - 8x² - 6x + 24
Learn more here: https://brainly.com/question/25601035
Answer:
B. 2x3 – 6x2 – 14x + 24 square centimeters
Step-by-step explanation:
Have the day you deserve :)
Car Miles Driven Gallons Used
Car A 84 2
Car B 90 4.5
Car C 108 3
Car D 185 5
Which car can travel the furthest on one gallon of gas?
Car A
Car B
Car C
Car D
Answer:
A is correct. Car D will go furthest.
Step-by-step explanation:
168- blank gives 48 aim confused
Answer:
168 subtracted by 120 is going to equal 48
Step-by-step explanation:
simplify 3^2 x 3^4 x 3^6 A3^10 B3^12 C3^48 D3^0
Answer:
[tex]\boxed{\sf\: B)\:3^{12}}[/tex]
Step-by-step explanation:
[tex]\sf 3^2\times \:3^4\times \:3^6[/tex]
Apply exponent rule:
[tex]\hookrightarrow \boxed{\sf a^b\times \:a^c=a^{b+c}}[/tex]
[tex]\sf 3^2\times \:3^4\times \:3^6[/tex][tex]\sf 3^{2+4+6}[/tex]Add the numbers:
[tex]\sf 2+4+6=12[/tex][tex]\sf \:3^{12}[/tex]________________________________
G and F are supplementary angles. If F is fifteen less then four times the measure of G find the measure of both angles
Answer:
G=39, F=141
Step-by-step explanation:
Let us set up equations, with G and F as variables.
Since G and F are supplementary, they must add up to 180.
G+F=180
Given the equation, we can set it up too
F = 4 * G - 15
Here, we can solve for this equation by plugging the second equation into the first one with substitution
G+4*G-15=180
simplify and solve
5G=195
G=39
Plug this into the first equation to solve for F:
39+F=180
F=141
We can plug both answers into the second equation to check and find that we are indeed right.
HELP PLEASE!!!
Find the slope of the line below. Enter your answer as a fraction or decimal.
Use a slash mark (/) as the fraction bar if necessary.
(-4, 10) 10
(-8,-6)
The angle of slope of the line between the coordinates (-4, 10) and (-8, -6) is 4.
What is the Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
To find the slope of a line, we use the formula:
slope = (change in y) / (change in x)
We can use the given points (-4, 10) and (-8, -6) to find the slope:
change in y = (-6) - 10 = -16
change in x = (-8) - (-4) = -4
slope = (-16) / 4 = 4
Therefore, the slope of the line passing through the points (-4, 10) and (-8, -6) is 4.
Learn more about Linear equations here:
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At the fundraiser, Chad washed 7 cars every 3 hours and earned over $150 for the school dance. 3. Choose the correct answer. Which phrase in the situation translates to the slope? 3 hours for every 7 cars 3 hours and earned over $150 7 cars every 3 hours 7 cars and earned over $150
Answer:
the answer is 22
Step-by-step explanation:
Answer:ion run it
Step-by-step explanation:
BUM
Which kind of symmetry does the word TOOT have?
A. both vertical and horizontal line symmetry
B. vertical line symmetry, only
C. neither horizontal nor vertical line symmetry
D. horizontal line symmetry, only
The kind of symmetry that it forms is vertical line symmetry, only
What are vertical line symmetryLine of symmetry is the line that. divides a figure into two equal halves. The axis of the shape which divides the shape into two identical halves, vertically, is called a vertical line of symmetry.
According to the word given TOOT, this word can only form mirror images of each other along the y-axis TO | OT, hence the kind of symmetry that it forms is vertical line symmetry, only
Learn more on vertical line symmetry here: https://brainly.com/question/1527799
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How does Shakespeare create an immediate mood of sadness around Romeo
Answer:
Shakespeare creates an immediate mood of sadness around Romeo because he said sad hours go by slow. also, he talks to benvolio about how sad he is
What is the quotient? 2 1/5/1-/10
the answer is -0.22
[tex] \: \: \: [/tex]
[tex] = \: \: \: \: - 22[/tex]
Step-by-step explanation:
[tex]2 \frac{1}{ \frac{5}{ - \frac{ 1} {10} } } [/tex]
convert the mixed number to an improper fraction[tex] \frac{11}{ \frac{5}{ - \frac{1}{10} } } [/tex]
use - a / b = a / - b = a - / b to rewrite the fraction[tex] \frac{11}{ - \frac{5}{ \frac{1}{10} } } [/tex]
simplify the complex fraction[tex] = \: \: \: - 22[/tex]
hope it helps12. Name the angle included between AB and AD.
Answer fast
Answer: Either angle DAB or angle BAD
Explanation:
The segments AB and AD have the point A in common. So this common point is the middle letter of the angle name. We could go for angle DAB or angle BAD as they both name the same exact angle. The order doesn't matter as long as the middle letter is fixed like this.
Will mark brainliest (2 possible answers. NO LINKS OR ANSWERS WITHOUT EXPLANATION)
A box and whisker plot is made up of 5 pieces of information: the minimum, 1st/lower quartile, median, 3rd/upper quartile, and maximum.
Start by placing a dot on the minimum and maximum values. These are the "whiskers" of the box plot.
Next, we'll graph the lower and upper quartiles. On these values, draw vertical lines. We are given the lower quartile, but will need to find the upper quartile.
IQR = upper quartile - lower quartile
225 = x - 120
x = 345 minutes = 5 hours, 45 minutes
Now that we know the upper quartile, you will also draw a line on that value. Feel free to connect the lines to make the "box".
Lastly, we'll graph the median. This is another vertical line on the value. It should be directly in the middle of the lower and upper quartiles. It will be inside the box.
Hope this helps and if you have any further questions, please let me know! :)
Allen's daily regular wage is P1,420. This coming Christmas, his boss is asking him to work for 14 hours. How much is his DAILY RATE on that particular day?
Php 1,420
Php 2,840
Php 2,420
Php 1,840
Using proportions, it is found that his DAILY RATE on that particular day is of Php 2,420 .
This question is solved by proportions, using a rule of three.In a regular 8-hour day, Allen earns Php 1420. How much will he earn on a 14 hour day?The rule of three is:
8 hours - Php 1420
14 hours - x
Applying cross multiplication:
[tex]8x = 1420 \times 14[/tex]
[tex]x = \frac{1420 \times 14}{8}[/tex]
[tex]x = 2485[/tex]
The closest option is Php 2,420.
A similar problem is given at https://brainly.com/question/24372153
I need help with this please
Answer:
False
Step-by-step explanation:
Angle S is 6.75
Angle R is 6.8
Angle Q is 10.54
As a result, the answer is False since Angle Q is the greatest among the three angles and Angle S is least.
If you are SMART? What is 100 x 100 without using a calculator?
Answer:
i got you it 10,000
Step-by-step explanation:
all you have to do is add the zeros
Stacy was sitting in a seat at a football game when another ticket holder told her she was in the
wrong seat. The other ticket holder politely told Stacy she needed to go 3 rows down and 5
seats to the right. Which rule describes the translation needed to put Stacy in the correct seat?
(x, y) + (x - 5, y + 3)
(x, y) = (x - 3, y + 5)
(x, y) = (x + 5, y - 3)
(x, y) = (x + 3, y-5)
Answer:
The answer is (x, y) = (x + 3, y-5)
Step by step explanation:
So y is the up and down axis while x it the side to side axis, so for y it would be 5 down (-5) and for x it would be 3 to the right (3).
Your Welcome. :)
Which description best describes the association between variables x and y?
A.strong positive
B.strong negative
C.weak positive
D.weak negative
Answer:
A. Stong positive
Step-by-step explanation:
Both the x and y variables move into the higher number on the chart!
Hope this helps!!
Please tell me if I have made a mistake, I enjoy learning form them:
b) Solve x ^ 2 + 5x - 14 = 0
[tex]x^2 +5x -14 =0\\\\\implies x^2 +7x -2x -14 =0\\\\\implies x(x+7) -2(x+7)=0\\\\\implies (x-2)(x+7) =0\\\\\implies x =2~~ \text{or}~~ x =-7[/tex]
Answer:
x = -7 and x = 2
Step-by-step explanation:
x ^ 2 + 5x - 14 = 0 can be factored as follows: (x + 7)(x - 2). Note how 7x - 2x = 5x.
Setting each factor = to 0 and solving for x, we get x = -7 and x = 2.
ricks bikes 24 miles in 3/4 of an hour what is the speed in the miles per hour.
Answer:
=32
Step-by-step explanation:
the speed = distance / time = 24 / (3/4) = 24*4 / 3 = 96 / 3 = 32 (mile/hour)
show work! giving brainly! my teacher told me this was wrong, what's the correct answer?
Answer:
it's Ahmed shoveled more
- Nelton spent $44.75 on 5 tickets to the football game.
What was the cost of one ticket?
Answer:
8.95
Step-by-step explanation:
when you divide it 44.75 divided by 5 it willl appeer the price of only one
Answer:
$8.95
Step-by-step explanation:
44.75/5=8.95
convert each fraction to a decimal then a percent 4/25 3/11
Answer:
4/25=0.16=16%
3/11=0.27=27%
Step-by-step explanation: