Which of the following points is the greatest distance from the origin?
(1,6)
(2,6)
(4,5)
(5,1)
Answers
The point which is farthest from the origin is required.
The point which is the greatest distance from the origin is [tex](4,5)[/tex]
Distance from originThe distance of a point from origin is given by
[tex]d=\sqrt{x^2+y^2}[/tex]
[tex](1,6)[/tex]
[tex]d=\sqrt{1^2+6^2}\\\Rightarrow d=\sqrt{37}\ \text{units}[/tex]
[tex](2,6)[/tex]
[tex]d=\sqrt{2^2+6^2}\\\Rightarrow d=\sqrt{40}\ \text{units}[/tex]
[tex](4,5)[/tex]
[tex]d=\sqrt{4^2+5^2}\\\Rightarrow d=\sqrt{41}\ \text{units}[/tex]
[tex](5,1)[/tex]
[tex]d=\sqrt{5^2+1^2}\\\Rightarrow d=\sqrt{26}\ \text{units}[/tex]
The largest number is [tex]\sqrt{41}[/tex]
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Related Questions
Alison, the owner of a regional chain of pizza stores, is trying to decide whether to add calzones to the menu. She conducts a survey of 700 people in the region and asks whether they would order calzones if they were on the menu. 46 people responded “yes.” Create a 90% confidence interval for the proportion of people in the region who would order calzones if they were on the menu.Round your answer to four decimal places.
Answers
Answer:
Step-by-step explanation:
Confidence interval is written as
Sample proportion ± margin of error
Margin of error = z × √pq/n
Where
z represents the z score corresponding to the confidence level
p = sample proportion. It also means probability of success
q = probability of failure
q = 1 - p
p = x/n
Where
n represents the number of samples
x represents the number of success
From the information given,
n = 700
x = 46
p = 46/700 = 0.066
q = 1 - 0.066 = 0.934
To determine the z score, we subtract the confidence level from 100% to get α
α = 1 - 0.9 = 0.1
α/2 = 0.1/2 = 0.05
This is the area in each tail. Since we want the area in the middle, it becomes
1 - 0.05 = 0.95
The z score corresponding to the area on the z table is 1.645. Thus, the z score for a confidence level of 90% is 1.645
Therefore, the 90% confidence interval is
0.066 ± 1.645√(0.066)(0.934)/700
= 0.066 ± 0.0094
The lower limit of the confidence interval is
0.066 - 0.0094 = 0.0566
The upper limit of the confidence interval is
0.066 + 0.0094 = 0.0754
Answer:
(0.0503, 0.0811).
Step-by-step explanation:
The confidence interval for the unknown population proportion p is (p^−z⋆p^(1−p^)n−−−−−−−−√,p^−z⋆p^(1−p^)n−−−−−−−−√). The confidence interval can be calculated using Excel.
1. Identify α. Click on cell A1 and enter =1−0.90 and press ENTER.
2. Thus, α=0.1. Enter the number of successes, x=46, and sample size, n=700, in the Excel sheet in cells A2 and A3. To find the proportion of successes, p^, click on cell A4 and enter =A2/A3 and press ENTER.
3. Thus, p^≈0.0657. Use the NORM.S.INV function in Excel to find z⋆. Click on cell A5, enter =NORM.S.INV(1−A1/2), and press ENTER.
4. The answer for z⋆, rounded to two decimal places, is z⋆≈1.64. To calculate the standard error, p^(1−p^)n−−−−−−−−√, click on cell A6 and enter =SQRT(A4∗(1−A4)/A3) and press ENTER.
5. The answer for the standard error, rounded to four decimal places, is p^(1−p^)n−−−−−−−−√≈0.0094. To calculate the margin of error, z⋆p^(1−p^)n−−−−−−−−√, click on cell A7 and enter =A5*A6 and press ENTER.
6. The answer for the margin of error, rounded to four decimal places, is z⋆p^(1−p^)n−−−−−−−−√≈0.0154. The confidence interval for the population proportion has a lower limit of A4−A7=0.0503 and an upper limit of A4+A7=0.0811. Thus, the 90% confidence interval for the population proportion of people in the region who would order calzones if they were on the menu, based on this sample, is approximately (0.0503, 0.0811).
A person who can afford a monthly payment of
and agreed to a
monthly payment of
was most likely the victim of predatory
lending
Answers
Answer:
D
Step-by-step explanation:
pls help thus is due tmr pls help.
Answers
Answer:
4. 30m; the coefficient is 30.
Step-by-step explanation:
According to wiki, a coefficient is a multiplicative factor in some term of a polynomial, a series, or any expression; it is usually a number. For example, 4x +7 has a coefficient of 4 and a variable of 'x'. The product of 6 and 5 is thirty and the product of 30 and 'm' is 30m.
WHY CAN'T ANYONE HELP ME? 1. In Michigan, the sales tax rate is 6%. Suppose that an item costs $50.88 including tax. How can we use algebra to find the price of the item before tax was added? What is the price before tax? Note: Using x = the price before tax, write an equation, and show solving steps to find x. (SOLVE AND CHECK)
Answers
Answer: $47.83
Step-by-step explanation: Let's turn the percentage into a decimal, move the decimal two times to the right...
6% ⇒ 0.06
0.06 * $50.88 = $3.05
$50.88 - $3.05 = $47.83
Remember x = price before tax...
x = $47.83
Simplify the expression.
5^2 - 4 x 4
Answers
Answer:
Simplified equation: 25 - 16=9
Step-by-step explanation:
Evaluate the power
25 - 4 * 4
Multiply the numbers
25 - 16
Subtract the numbers
9
The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function? Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points. Locate the ordered pair (0, –6). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points. Locate the ordered pair (–6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points. Locate the ordered pair (–6, 0). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.
Answers
uquzas prguntale ea otroi
A paper manufacturer is evaluating their packing procedures. Currently, they package twelve reams of paper in a box—in three stacks of four reams. However, their company has been getting complaints from the retail stores that the box is too large and heavy for the average consumer to carry by their self. So, they have decided to reduce the weight of each box by ten pounds. You have been asked to explore the different packing options based on the new weight condition and present your recommendation to the CEO of the paper company. Identify three unique ways to package the paper given the new weight condition. Include both the dimensions of the new boxes, as well as a verbal description of how the reams will be packaged. You may include sketches if you wish.
Answers
Answer:
3 stacks of 4 reams= 12 reams
Each ream weighs 5 pounds so reducing 10 pounds means removing 2 reams from the 12.
First option is 5+5= 2 stacks of 5/5 reams.
2 stacks of 5 each would be easy to carry. provided the stacks should be placed parallel to each other which would increase the length making it comparatively longer. its easier to hold a (2*8, 11, 2*5 = 17, 11, 17) compact box
Second option is 2+3+3+2 = 4 stacks of 2/3/3/2 reams
Third option is 3+4+3= 3 stacks of 3/4/3 reams
Harry likes to grow his own vegetables. He wants to harvest at least 129 squashes during the summer season. If he has already harvested 61 squashes and plans to pick 8 squashes every week, how many weeks will it take him to harvest at least 129 squashes?
Answers
Answer:
8.5 weeks
Step-by-step explanation:
to solve, you can start by subtracting 61 from 129 because he has already picked 61.
129 - 61 = 68
then, just divide 68 by 8 to find how many weeks it will take him.
68/8 = 8.5
it will take Harry 8 and a half weeks to harvest at least 129 squashes.
Harry needs 9 weeks to harvest at least 129 squashes.
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
Let, The number of weeks it will take Harry to harvest at least 129 squashes be 'w'.
Therefore, The inequality that represents the given situation is,
8w + 61 > 129.
8w > 68.
w > 68/8.
w > 8.5.
So, It will take him at least 9 weeks.
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Penny received an unexpected $5,000.00 gift from a distant relative. She invests it
in a mutual fund that increases the value of the original investment by 8% each year.
You must show all calculations to earn credit.
How much will her original investment be worth in 10 years?
Answers
Answer:
$9,000.00 is her original investment worth in 10 yrs.
5000 x 1.08 ^10 = 10794.6249864
Then subtract -500000 = 5794.62498636
Step-by-step explanation:
Why, because the first year is proved 5000 x 0.08 = 400
= 400 year 1 but cna keep only if stays in investment for 10 years
400 x 10 = 4000 interest on investment
5000+ 4000 = $9,000.00 SI
+ 1,794.62 Interest on interest if applies (this is called CI) and makes $10794.62
What's the center of the circle with the equation
(x−9)^2+(x+16)^2=25?
(9,−16)
(−9,16)
(3,−4)
(−3,4)
Answers
Answer:
Center = (9, -16)
Step-by-step explanation:
So you already have the center in the equation.
The base form is [tex](x-h)^2+(y-k)^2=r^2[/tex]
(h, k) = center.
Center = (9, -16)
ΔFGH, the measure of ∠H=90°, the measure of ∠F=15°, and GH = 57 feet. Find the length of FG to the nearest tenth of a foot.
Answers
Answer:
FG-220.2 feet
Step-by-step explanation:
The base of the triangle is FH
The perpendicular of the triangle GH=57 feet
The hypotenuse of the triangle is FG
We know that
sin∠F=Perpendicular/Hypotenuse
Hypotenuse= Perpendicular/sin∠F
Hypotenuse= 57/sin∠15
Hypotenuse=220.23109
Round of to nearest tenth
Hypotenuse=220.2 feet
What are the coordinates of point P on the directed line segment from A to B such that P is One-fourth the length of the line segment from A to B? (StartFraction negative 29 Over 4 EndFraction , negative three-halves) (negative thirteen-fourths, one-half) (negative eleven-fourths, negative one-half) (twenty-five-fourths, negative one-half)
Answers
Answer:
Option C is the correct answer.
Step-by-step explanation:
Given:
The coordinates of the point A and B are (-5,-1) and (4,1)
The point P on the directed line segment from A to B such that P is One-fourth the length of the line segment from A to B.
Thus, we have;
m=1 and m+n=4
We need to determine the coordinates of the point P(x,y)
x - coordinates of the point P:
The x - coordinates of the point P can be determined using the formula
x=(m/m+n)(x₂ - x₁)+ x₁
Substituting the values, we get;
x= 1/4(4+5)-5
x = 9/4-5
x = -11/4
Thus, the x - coordinate of the point P is -11/4
y - coordinate of the point P:
The y - coordinate of the point P can be determined using the formula,
y=(m/m+n)(y₂ - y₁)+ y₁
Substituting the values, we get;
y= 1/4(1+1)-1
y = 2/4-1
y= -2/4
y= -1/2
Thus, the y - coordinate of the point P is -1/2
Therefore, the coordinates of the point P is (-11/4, -1/2)
Hence, Option C is the correct answer.
please mark me brainliest!
Answer:
C
Step-by-step explanation:
I just did it on edge
I need help please, I will give whoever answers this gets brainliest
Answers
Hey!!
H (2,1),(4,3),(6,5),(2,7) is not a function.
please see the attached picture
Hope it helps
Good luck on your assignment
If the model was built using a 1-to-64 scale, and the length of the model is 10.5 inches, What is the length of the actual tractor in feet?
Answers
Answer:
The length of the actual tractor is:
56 feet.Step-by-step explanation:
Firstly, you must know the conversión between inches and feet:
1 foot = 12 inchesOr
1 inch = 0.0833333 feetHow the paragraph says that the scale is 1 to 64, it means by each unit in the scale, the unit in the actual tractor is 64 times bigger, so, you must multiply the measure of the model by 64 to obtain the actual length in inches:
Length of the actual tractor = 10.5 inches * 64 = 672 inchesThe paragraph says the length must be in feet, so we must apply the conversion given above in a simple rule of three how I'll show below:
1 foot = 12 inchesx = 672 inchesAnd we operate:
x = (672 inches * 1 foot) / 12 inchesAfter we cancel the unit "inches:"
x = 672 feet / 12x = 56 feetFor this reason, we obtain the final value of 56 feet to the actual length of the tractor.
The diameter of a circle is 20m. Find its area in terms of pie(urgent)
Answers
Answer:
100 pie m^2
[tex]solution \\ diameter = 20 \: m \\ radius = \frac{20}{2} = 10 \: m \\ area \: = \pi \: {r}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: = \pi \times {10}^{2} \\ \: \: \: \: \: \: \: \: \: \: = \pi \times 100 \\ \: \: \: \: \: = 100\pi \: {m}^{2} \\ hope \: it \: helps....[/tex]
Answer:
[tex]= 100\pi {m}^{2} \\ [/tex]
Step-by-step explanation:
[tex]d = 2r \\ 20 =2 r \\ \frac{20}{2} = \frac{2r}{2} \\ r = 10[/tex]
[tex]area = \pi {r}^{2} \\ = \pi \times 10 \times 10 \\ = 100\pi {m}^{2} [/tex]
hope this helps
Solve the equation using the square root property:*
3x2 - 30 = 0
Answers
Answer:
Step-by-step explanation:
PLEASE MARK BRAINLY
ANSWER ASAP IM GIVING BRAINLIEST!
The trapezoid is composed of a rectangle and two triangles. What is the area of the rectangle? What is the total area of the triangles? What is the area of the trapezoid?
A) 13 cm2; 15 cm2; 28 cm 2
B) 26 cm2; 15 cm2; 41 cm 2
C) 40 cm2; 15 cm2; 55 cm 2
D) 40 cm2; 7.5 cm2; 47.5 cm 2
Answers
Step-by-step explanation:
is there any diagram included about this question
A 39 foot ladder is resting against a wall that is 36 feet high. What is
the distance between the base of the ladder and the bottom of the wall?
5 feet
10 feet
15 feet
Answers
Answer:
11
Step-by-step explanation:
Please help...
What is an equation in terms of x and y that can be used to model the proportional relationship?
Answers
Answer:
Step-by-step explanation:
y = 5x
Help please! Will give brainly! Explain how the equation y=x^2 differs from the equation y=x
(Hint: plug in z= 1, 2, 3, 4, 5, and explain how the answers differ.)
Answers
Answer:
Below.
Step-by-step explanation:
[tex]y=x^2[/tex] is also [tex]y = x*x[/tex]
It will differ for any x besides 1 and 0 because you're multiplying x by itself, which makes the answer greater.
But, it's the same for 1 and 0 because they equal each other when you square them.
A rectangular room is 2 times as long as it is wide, and its perimeter is 36 meters. Find the width of the room.
Answers
The width of the room is equal to 6 m
What is the area of the rectangle?The formula for area is equal to the product of the length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides.
Given here: Perimeter=36 m
Let the length of the room be 2x and width of the room be x
Then we have (2x+x)=36
x=12
Thus length =12m & width=6 m
Hence, the width of the room is equal to 6 m
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Find the area of the polygon
Answers
Answer:
154 square units
Step-by-step explanation:
To find the area of a trapezoid, we need to: [tex](a+b)\frac{h}{2}[/tex] , a and b being 17 and 5 in this case. h is 14. Substitute the variables and there you have it!
Given a= -3, b= 4 and c= -5, evaluate ab + C.
-4
-17
07
Answers
Answer:
a= -3, b= 4 and c= -5
ab + c = (-3)4+(-5) = -12 -5 = -17
Answer:
answer is -17
Step-by-step explanation:
all you have to do for this question is to plug the values for a, b, and c in the question.
ab + c would be
(-3)*4+(-5)
-12+(-5)
= -17
therefore the answer is -17
What is the length of the unknown leg in the right triangle?
A right triangle has a side with length StartRoot 23 EndRoot yards and hypotenuse with length StartRoot 87 EndRoot yards
Answers
Answer:
8Step-by-step explanation:
A right angled triangle is made of three sides with the longest side being the hypotenuse. According to pythagoras theorem;
[tex]hyp^{2} = adj^{2}+opp^{2}[/tex]
Given hypotenuse = [tex]\sqrt{87}[/tex] and another side = [tex]\sqrt{23}[/tex], the third side can be gotten according to the formula above. On substituting;
[tex](\sqrt{87} )^{2} = (\sqrt{23} )^{2} + x ^{2} \\x^{2} = (\sqrt{87} )^{2} - (\sqrt{23} )^{2}\\x^{2} = 87-23\\x^{2} = 64\\x =\sqrt{64}\\ x = 8[/tex]
The length of the unknown leg in the right triangle is 8
Answer:
a. 8 yd
Step-by-step explanation:
Hypotenuse = [tex]\sqrt{87}[/tex]
Length = [tex]\sqrt{23}[/tex]
x² + ([tex]\sqrt{23}[/tex])² = ([tex]\sqrt{87}[/tex])²
x² = ([tex]\sqrt{87}[/tex])² - ([tex]\sqrt{23}[/tex])²
x² = 87 - 23
x² = 64
[tex]\sqrt{x}[/tex]² = [tex]\sqrt{64}[/tex]
x = 8 yd
Max climbs a hiking trail at a constant rate of 18 meters in 15 minutes. The line y = mx can be used to model Max's climb, where y is the distance he climbs and x is the time in minutes. Which is the slope of the line, m?
Answers
Answer:
18y=15mx/m
Step-by-step explanation:
that's the set up
What are the next two numbers in this pattern?
3,-9, 27, -81, ...
A 243, -729
B -135, 189
C-243, 729
D 135, -189
I really need your help if I get this right I’ll pass
Answers
The pattern of this is that they multiply each number by -3.
3*-3=-9
-9*-3=26
27*-3=-81
So you have to multiply -81 by -3. Then multiply that by -3 to get the second number
-81*-3=243
243*-3=-729
A rectangle has a length 3x-1 and a width 2x. What is the perimeterof the rectangle
Answers
The perimeter of rectangle is 10x-2
please see the attached picture for full solution
Hope it helps
Good luck on your assignment...
Answer:
10x-2
Step-by-step explanation:
We know the length is 3x-1. There are two lengths in a rectangle. Therefore, we multiply 3x-1 by 2 to get 6x-2. That is the sum of the two lengths.
Now for the width. Just as with the length there are two widths in a rectangle. After multiplying 2x by 2, we get 4x. That is the sum of the two widths.
To get the perimeter, we need to add both the lengths and both the widths together. Using what we did before, we add 4x + 6x - 2 to get 10x - 2 Hope this helps :)
I NEED HELP PLEASE 30 points
Select the correct paint
One linear equation is defined by the points (2, 4) and (1, 1), while the other is defined by the points (2.-2) and (-5). Which point represents
the solution to this system of equations?
Answers
Hope this helps
Help me please show your work please
Answers
Answer:
27
Step-by-step explanation:
(9)to the 2 power is 81
81/3=27
Answer: 27
(n)^2/3 if n=9
Step-by-step explanation:
first, you do 9*9=81
secound, you put 81/3
third, then you divide 81/3=27
the answer is 27
pls help help me need help!!
Answers
Answer:
50 feet
Step-by-step explanation:
[tex]\mid -20 \mid +\mid 30\mid = \\\\20+30= \\\\50[/tex]
Hope this helps!
Answer:
50 feet
Step-by-step explanation:
hope this helps
