The measure of the central tendency of the local paper can be mean, median or mode
The local paper should use the median as the measure of the central tendency
How to determine the measure of central tendency
The dataset is given as:
$2, $3, $2, $15, and $2
Rearrange the dataset
$2, $2, $2, $3, $15
In the above dataset, $15 is relatively larger than the other dataset
This means that:
$15 is an outlier of the dataset
Median is not affected by outlier, while mean is affected by outliers
Hence, the local paper should use the median as the measure of the central tendency
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Teslim is designing a cover for a book. He wants to have a rectangular grid with x2 – 10x + 21 squares in it, for some positive whole number x. What are the possible side lengths for the grid? A. (x – 3) and (x – 7) B. (x – 3) and (x + 7) C. There are no possible whole number side lengths. D. (x + 3) and (x + 7)
Answer:
A. (x – 3) and (x – 7)
Step-by-step explanation:
A. (x – 3) and (x – 7) = x^2 - 10x + 21
x*x = x^2
x*-7 = -7x
-3*x = -3x
-3*-7 = 21
x^2 - 7x + 3x + 21
x^2 - 10x + 21
Twelve trees are equally spaced along one side of a straight road. The distance from the first tree to the sixth tree is 60 feet. What is the distance in feet between the first and last trees?
Answer:
120 feet
Step-by-step explanation:
because 60 feet x2 is 120
The distance between the first and the last tree is 132 feet.
What is an Arithmetic Progression?An arithmetic progression(A.P.) is a series, where the difference between consecutive numbers is constant.
The first term of an A.P. is denoted by a, and the common difference is denoted by d.
The nth term of an A.P. series is found using the formula:
aₙ = a + (n-1)d.
The sum of n terms of an A.P. series is found using the formula:
Sₙ = (n/2)(2a + (n-1)d)
How do we solve the given question?We are said that every tree is equally spaced. So the distance between the trees is in arithmetic progression.
With the first tree being at 0 feet from itself, our a = 0.
The distance from the first tree to the sixth tree is 60 feet, so we can say that the 6th term is 60
6th term = a + 5d
or, 60 = 0 + 5d
or, d = 60/5 = 12 feet.
To find the distance between the first tree and the last tree(12th tree), we will find the 12th term of the series,
12th term = a + (12-1)d = 0 + 11(12) = 132 feet.
∴ The distance in feet between the first and last tree is 132 feet.
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What are the area and perimeter of the figure? Include the units in your answers (units, square units, or cubic units). The area is . The perimeter is . Skip to navigation
Answer:
howdy, I THINK it's 27
Step-by-step explanation:
because I searched it up
Calculate the volume. Round your answers to the nearest tenth if necessary.
Answer:
need to see problem please
Every angle in the polygon is a right angle. The area of the polygon is 426 in2
What is the length of the left side of the polygon? Show your work
Plss help
The length of the missing side of the polygon with an area of 426 inches² is 31 inches.
PolygonPolygon is a 2-dimensional shape. They are made of straight lines.
Therefore,
area of the polygon = 426 inches²
The composite figure can be divided into two rectangle. Therefore,
area = area of rectangle 1 + area of rectangle 2
area of rectangle = lw
where
l = lengthw = widthTherefore,
let
the unknown side = x
426 = 26 × 11 + (26 - 19) (x - 11)
426 = 286 + 7x - 77
426 + 77 - 286 = 7x
7x = 217
x = 217 / 7
x = 31
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Lamar filled a measuring cup with 3 cups of vegetable oil. Then he poured 1 4/5 cups of the oil into a frying pan. How much oil is left in the measuring cup?
Answer:
1, 1\5 left
Step-by-step explanation:
What is an
equation of the line that passes through the points (1, 3) and (7, -3)?
Answer: y=-x+4
Step-by-step explanation:
Urgent. Please show all work
Answer:
[tex]\displaystyle f'(x) = \frac{4}{x^2}[/tex]
General Formulas and Concepts:
Calculus
Limits
Limit Rule [Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to c} x = c[/tex]Differentiation
DerivativesDerivative NotationThe definition of a derivative is the slope of the tangent line: [tex]\displaystyle f'(x) = \lim_{h \to 0} \frac{f(x + h) - f(x)}{h}[/tex]
Step-by-step explanation:
Step 1: Define
Identify.
[tex]\displaystyle f(x) = -\frac{4}{x}[/tex]
Step 2: Differentiate
[Function] Substitute in x: [tex]\displaystyle f(x + h) = -\frac{4}{x + h}[/tex]Substitute in functions [Definition of a Derivative]: [tex]\displaystyle f'(x) = \lim_{h \to 0} \frac{-\frac{4}{x + h} - \big( -\frac{4}{x} \big)}{h}[/tex]Simplify: [tex]\displaystyle f'(x) = \lim_{h \to 0} \frac{4}{x(x+ h)}[/tex]Evaluate limit [Limit Rule - Variable Direct Substitution]: [tex]\displaystyle f'(x) = \frac{4}{x(x+ 0)}[/tex]Simplify: [tex]\displaystyle f'(x) = \frac{4}{x^2}[/tex]∴ the derivative of the given function will be equal to 4 divided by x².
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Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
Kyle has a notebook for each of his 13 classes he puts 5 stickers on each notebook there are 10 stickers on each sheet how many sheets of stickers will Kyle need?
[tex][Hello,BrainlyUser][/tex]
[tex]\left[Here\; your \;Answer\; below}\right][/tex]
Answer:
7
Step-by-step explanation:
Given;
Kyle has 13 notebooks (1 for each class) and he puts 5 stickers on each one
Solve;
If Kyle wants to put 5 stickers on each of his 13 classroom notebooks, then we simply multiply 5*13 to find out how many stickers he will use in total.
5 * 13 =65
Kyle used 65 stickers total.
Then, to find out how many sheets he used, we will simply divide the total amount of stickers (T) by the amount of stickers on a sheet (S).
T = 65
S = 10
65/10 = 6.5
Thus, He will need 7 sheets, but will only use 6 and a half sheets.
[CloudBreeze]
PLEASE HELP WILL GIVE BRAINLIEST
The inequalities are option B, C and D which are;
B. 11 > (w - 4)² C. y < 3⁴ D. 5+9 < 5×9
Define the term inequalities?Imbalances are numerical articulations that think about two qualities and express that they are not equivalent.
The inequalities are:
B. 11 > (w - 4)²
C. y < 3⁴
D. (5+9) < (5×9)
Here, option A and E are not inequalities. A is a quadratic expression and E is a rational function.
Inequality B says that 11 is greater than the square of the difference between w and 4.
⇒ √(11) > (w - 4)
⇒ w - 4 < √(11) or w - 4 > -√(11)
⇒ w < 4 + √(11) or w > 4 - √(11)
So the solution for inequality B is: w < 4 + √(11) or w > 4 - √(11)
Inequality C says that y is less than 3 to the fourth power (81).
⇒ y < 81
Inequality D says that the sum of 5 and 9 is less than the product of 5 and 9. This is clearly true:
⇒ (5 + 9) < (5 × 9)
⇒ 14 < 45
So the solution for inequality D is: 14 < 45
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PLEASE HELP!!!!!! The length of a rectangle is three times its width. If the perimeter of the rectangle is 56 cm, find its area.
Step-by-step explanation:
l = length
w = width
l = 3w
perimeter p = 2l + 2w = 56
using the identity of the first equation
p = 2(3w) + 2w = 56
6w + 2w = 56
8w = 56
w = 7 cm
l = 3w = 3×7 = 21 cm
so, the area is
l×w = 21×7 = 147 cm²
Two laser beams originating from the same source pass through a glass cylinder parallel to its base. The arc intercepted by the lasers closest to the source measures 60. The arc intercepted by the lasers on the other side of the cylinder measures 80. What is the measure of the angle formed by the two laser beams ?
A. )10
B. )20
C. )30
D. (40
The measure of the angle formed by the two laser beams is 20°
What is an angle?
An angle is formed when two or more lines intersect. Acute angles are angles less than 90 degrees, obtuse angles are greater than 90 degrees while right angles are 90 degrees.
The arc intercepted by the lasers closest to the source measures 60. The arc intercepted by the lasers on the other side of the cylinder measures 80. Hence:
The measure of the angle formed by the two laser beams = 80 - 60 = 20°
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A rectangles length is 8 feet longer than twice its width. The rectangles perimeter is 316 feet. Find the rectangles length and width.
The rectangles length is ______ feet, and its width is_____feet.
Answer:
length= 108 feet,
width= 50 feet
Overview of steps:
Define variablesForm two equations using given informationSolve for one variable through substitution/ eliminationSolve for the other variable through substitutionWorking:
Let the length and the width of the rectangle be L and W feet respectively.
L= 2W +8 -----(1)
Perimeter= 2(length) +2(width)
316= 2L +2W
2L +2W= 316
Divide both sides by 2:
L +W= 158 -----(2)
Substitute (1) into (2):
2W +8 +W= 158
Simplify:
3W +8= 158
3W= 158 -8
3W= 150
Divide both sides by 3:
W= 150 ÷3
W= 50
Substitute W= 50 into (1):
L= 2(50) +8
L= 100 +8
L= 108
Thus, the rectangle's length is 108 feet, and its width is 50 feet.
Using six random samples, the average number of catfish in the samples was 5. 7. If the total population of fish in the pond is 200, the proportion of catfish in the pond will be 5. 7 20 = x 200. What is the predicted number of catfish in the pond?.
Answer:
the answer is 57 I got it right hope you do to!
Step-by-step explanation:
What is the product represented by this model? [Hint: Remember that the green overlapping area represents the numerator]. Write your answer in simplest form.
The product represented by the model is 2/3, the correct option is A.
What is a Fraction?A fraction is a part of the whole, It is represented in the terms of p/q, where q is not equal to zero.
To form the fraction from the given graph
The number of green boxes needs to be counted = 20
Total number of boxes = 30
The green boxes represent the numerator
Fraction = 20/30
Fraction = 2/3
Therefore, the product represented by the model is 2/3.
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What are the coordinates of A’ after reflecting across the line x = 3?
On a coordinate plane, figure A B C D has points (3, 2), (2, 4), (6, 3), and (1, 0).
(2, 3)
(3, 2)
(3, 4)
(3, –2)
Mark this and return
Answer: (3,2)
Step-by-step explanation:
(3,2) lies on the line x=3, so it is an invariant point.
Answer:
c
Step-by-step explanation:
Write an equation for each line.
Answer:
Step-by-step explanation:
Equation of blue line:
blue line is parallel to y-axis
⇒ x = 5
Equation of green line:
Green line is parallel to x-axis.
y = 2
Equation of red line:
At y-intercept x = 0. Point on red line is (0,5)
So, y-intercept = 5
y = mx + b Here, m is slope any b is y-intercept.
y = mx + 5
Now, choose any other point in red line. ((1,7)
Substitute this value in the above equation and we can find m
7 = m*1 + 5
7 - 5 = m
m = 2
y = 2x + 5
Equation of black line:
Black line and red line are parallel and so, they have same slope.
y = 2x + b
y-intercept (0,-6) ; b = -6
y = 2x - 6
Find the missing value for x.
Answer:
x is 62 degrees i think
Step-by-step explanation:
wow how do i know how to do this. ANYWAYS:
since it says that the whole two angels is 152 and that one of the angles is 90 degrees we can write the equation:
90 + x = 152
x = 62
you may ask "but thats the degree of the angle next to 90.." but it is also x because it is parallel (i think thats the word)
This is the same triangle you used for Question 2.
Triangle ABC has angle measures as shown below. Using the information in the
diagram, and the value of x that you calculated in Question 2, find the measure
of Angle C.
In your answer, give the measure of Angle C and explain how you calculated it.
Answer:
93
Step-by-step explanation:
in your answer, give the measure of Angle C and explain how you calculated it.
i dont know the answer but i just added 3(29+2) and got 29 sorry if its wrong
ILL GIVE BRAINLIEST #20 please, how do I know if it’s similar or not? Is it similar
Answer:
Step-by-step explanation:
20.
itis not similar as ratio of corresponding sides is not equal.
4/2=2
6/4=3/2
8/6=4/3
2≠3/2≠4/3
For a standard normal distribution, find the approximate value of p (negative 0.78 less-than-or-equal-to z less-than-or-equal-to 1.16). use the portion of the standard normal table below to help answer the question. z probability 0.00 0.5000 0.16 0.5636 0.22 0.5871 0.78 0.7823 1.00 0.8413 1.16 0.8770 1.78 0.9625 2.00 0.9772 22% 66% 78% 88%
The z-probability for the condition -0.78 ≤ z ≤ 1.16 is 66%.
What is a z-score?
A z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.
It is given that
-0.78 ≤ z ≤ 1.16
We have to find the p-value corresponding to -0.78 ≤ z ≤ 1.16.
This means, p(-0.78 ≤ z ≤ 1.16)
p(0.78≤ z ≤1.16) can be written as p(z ≤ 1.16) - p(z ≤ -0.78)
p(0.78≤ z ≤1.16) = p(z ≤ 1.16) - (1-p(z ≤ 0.78))
p(0.78≤ z ≤1.16) = p(z ≤ 1.16) -1 + p(z ≤ 0.78)
From the standard normal table,
p(z ≤ 1.16)=0.87698
p(z ≤ 0.78)=0.78230
So, p(0.78≤ z ≤1.16)= 0.87698-1+0.78230
p(0.78≤ z ≤1.16) = 0.65928≈0.66 i.e 66%
Therefore, the z-probability for the condition -0.78 ≤ z ≤ 1.16 is 66%.
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Answer:
66%
Step-by-step explanation:
hopes this helps!! have an amazing day <3
help pls don’t know what i’m doing
Step-by-step explanation:
since the polynomial is in the form
+x² - nx - m
we know that we are looking for 2 factors of x (to create x²).
and they must be in the form of
(x + a)(x - b)
to create the negative "m" at the end.
and "b" must be larger than "a" to create the negative "n" in the middle.
let's do the multiplication and compare the parts with our actual expression :
(x + a)(x - b) = x² - bx + ax - ab = x² + (a - b)x - ab
so, we know now in numbers that
-ab = -44
ab = 44
and
a - b = -7
a = b - 7
the short solution here is trial and error with the factors of 44 :
44 = 1×44 = 2×22 = 4×11
ah, only one combination has a difference of the factors of 7 or -7 : 4 and 11.
since b has to be larger (as a - b = -7), we have a = 4 and b = 11
and the factorization of our original expression is
f(x) = (x + 4)(x - 11)
FYI
if there is not such a short list of options to try, we can also go the full formal way :
we can use the second equation as identity in the first equation and get
(b - 7)b = 44
b² - 7b = 44
b² - 7b - 44 = 0
by the way, it is not surprising that it looks the same way as the original expression in x, because the factorization uses exactly the zero solutions for the original expression.
anyway, the formal solution to a quadratic equation of
ax² + bx + c = 0 is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
x = b (the variable of our equation above)
a = 1
b = -7
c = -44
b = (7 ± sqrt((-7)² - 4×1×-44))/(2×1) =
= (7 ± sqrt(49 + 176))/2 = (7 ± sqrt(225))/2 =
= (7 ± 15)/2
b1 = (7 + 15) / 2 = 22/2 = 11
b2 = (7 - 15) / 2 = 8/2 = 4
based again on the original equations and the fact that b has to be the larger number, we get again (of course) that b1 is the valid solution and
b = 11 and a = 4
What is the perimeter of rectangle efgh? startroot 10 endroot startroot 29 endroot units 2 startroot 10 endroot 2 startroot 29 endroot units 22 units 39 units
The perimeter of the rectangle is the length of the boundary of the perimeter of the rectangle. The perimeter of the rectangle is 2(√29+√10).
What is the perimeter of the rectangle?The perimeter of the rectangle is the length of the boundary of the perimeter of the rectangle.
In order to find the perimeter of the rectangle, we need to find the third side(Hypotenuse) of each triangle, therefore,
In ΔA,
[tex](Hypotenuse)^2 =(Perpendicular)^2+(Base)^2[/tex]
[tex]GF^2 = 3^2+1^2\\GF=\sqrt{10}[/tex]
In ΔB,
[tex](Hypotenuse)^2 =(Perpendicular)^2+(Base)^2[/tex]
[tex]EF^2 = 2^2+5^2\\EF=\sqrt{29}[/tex]
In ΔC,
[tex](Hypotenuse)^2 =(Perpendicular)^2+(Base)^2[/tex]
[tex]GH^2 = 2^2+5^2\\GH=\sqrt{29}[/tex]
In ΔD,
[tex](Hypotenuse)^2 =(Perpendicular)^2+(Base)^2[/tex]
[tex]EH^2 = 3^2+1^2\\EH=\sqrt{10}[/tex]
Now, the perimeter of the rectangle is,
[tex]Perimeter\ EFGH = EF+ GF + GH +EH[/tex]
[tex]=\sqrt{29}+\sqrt{10}+\sqrt{29}+\sqrt{10}\\\\=2\sqrt{29}+2\sqrt{10}\\\\=2(\sqrt{29}+\sqrt{10})[/tex]
hence, the perimeter of the rectangle is 2(√29+√10).
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The school drama club sold 2,400 tickets to a play and made $9,000 from the ticket sales. Student tickets,
X, were $3 and adult tickets, y, were $5.
Create a system of two equations to represent this situation.
Hi!
Given:
total tickets = 2,400 total profit = 9,000student tickets cost $3adult tickets cost $5x = student ticketsy = adult ticketsThe first equation we can make can use the total number of tickets. The total number of tickets would be equal to the number of student tickets plus the number of adult tickets, correct? Therefore:
[tex]x+y=2400[/tex]
Now, the second one can use the profit and the price of each ticket. The number of student tickets multiplied by 3 (for the price) plus the number of adult tickets multiplied by 5 would be equal to the total profit. Hence:
[tex]3x+5y=9000[/tex]
Therefore, your system of equations is:
[tex]x+y=2400[/tex]
[tex]3x+5y=9000[/tex]
80 points. Help please.
4. Test the residuals of two other points to determine how well the line of best fit models the data.
Slope is y = 1x + 2
Answer:
[tex]\red{ \rule{10pt}{9999999pt}}[/tex]
Step-by-step explanation:
[tex]\red{ \rule{10pt}{999999pt}}[/tex]
You did it! please don't delete
Below is a list of
grades on a test.
| What is the mean?
he
100 100 75 60
55
80
85
90
100
75
Answer:
82
Step-by-step explanation:
The mean is just the average Add all individual numbers together then divide by how many numbers you added.
Which expressions are equivalent to the one below? Check all that apply.
9^x
Answer: B, C, E, and F.
Step-by-step explanation: All these answers I picked all simplify to 9^x. A and D both don't simplify to that as both are 27^x.
Hope this helps! :)
find the volume of the solid
The cafeteria sold 15 more turkey sandwiches than ham sandwiches. They sold 63 sandwiches in all. How many ham sandwiches did the cafeteria sell?
Answer:
48
:)
Step-by-step explanation:
63-15 = 48
48+15= 63
Can someone help me with this?
Answer:
Example 1 = ?
Example 2 = x = 3.22
Example 3 = 10.963 = x
Example 4 = ?