Answer:
value of -4x=16.
value of -4x=10.
The measures of the exterior angles of an octagon are x°x°, 2x°2x°, 3x°3x°, 4x°4x°, 5x°5x°, 6x°6x°, 9x°9x°, and 10x°10x°. Solve for xx.
Answer:
x=10
Step-by-step explanation:
Given: =The exterior angles of an octagon are x°,2x°,3x°,4x°,5x°,6x°,7x°,8x°.
Then, x°+2x°+3x°+4x°+5x°+6x°+7x°+8x° =360°
⇒ 36x = 360
⇒ x= 10
I need assistance on scatter plots. Please see the attached question
From the scatter plot of sales of Ceiling Fan in relation to Temperature.
(a) We are asked to characterized the money spent on Ceiling Fan to Temperature.
The relationship between the money spent on Ceiling Fan and Temperature is positive correlation.
When the y variable tends to increase as the x variable increases, we say there is a positive correlation. Which we can see in the scatter plot in the question.
(b) using the function y = 20x + 0, we are to find the predicted amount of sales if temperature is 21 degrees Celsius.
With the function:
y = 20x + 0
When Temperature is 21 degrees that means x = 21
So let's input x = 21 into the given function.
y = 20(21) + 0
y = 420 + 0
y = 420
Therefore, the predicted amount of sales when Temperature is 21 degrees Celsius is $420.
(c) What does the number 0 in the function mean in the contest of this situation?
In a linear interpretation which the function represents, the number 0 can be seen as the y intercepts of the function.
Write the equation of a line in slope-intercept form that goes through points (1,5) and (9, -6).
Answer:
y-21 = 4(x+9)
On a standardized exam, the scores are normally distributed with a mean of27 and a standard deviation of 4. Find the Z-score of a person who scored 17on the exam.
mean = 27
standard deviation = 4
n = 17
z = ?
[tex]\begin{gathered} \text{ z = }\frac{X\text{ - }\mu}{\sigma} \\ \text{ z = }\frac{27\text{ - 17}}{4} \\ \text{ z = }\frac{10}{4} \\ \text{ z = 2.5} \end{gathered}[/tex]Result :
z = 2.5
-24 = -12v solve for v and simplify as much as posible
Answer:
divide both sides by the coefficient of v which is 12
-24/-12=-12v/-12
-2=v
among all rectangles that have a perimeter of 48, find the dimensions of the one whose area is largest. write your answers as fractions reduced to lowest terms.
among all rectangles that have a perimeter of 48 Then the dimensions of the one whose area is largest is 12 by 12
The formula for calculating the perimeter of a rectangle is expressed as:
P = 2(L + W)
L is the length of the rectangle
W is the width
Given that the perimeter is 156, hence;
2(L + W) = 48
2L + 2W = 48
L + W = 24
W = 24 - L
The area of the rectangle is expressed as:
A = LW
A = L(24-L)
A = 24L - L^2
To get the dimensions of the one whose area is largest, dA/dL = 0
dA/dL = 24 - 2L
0 = 24 - 2L
2L = 24
L = 24/2
L = 12
Recall that 2(L+W) = 48
2(12 + W) = 48
12 + W = 24
W = 24 - 12
W = 12
Hence the dimensions of the one whose area is largest is 12 by 12
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If the area of a square is 139cm squared, what would the length of the side be?
The length of the side is 11.79cm
How to find the area of the square?The area is the entire amount of space occupied by a flat (2-D) surface or shape of an object.
On a sheet of paper, draw a square with a pencil.
It is a two-dimensional figure.
The area of a shape on paper is the area it occupies.
Area of a square i= 139cm^2
a^2 = 139
The length of the side (a) = [tex]\sqrt{139}[/tex] = 11.79cm
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assume 11% of the population is left-handed. assume this percentage is also true for all college students. a random sample of 209 college students from a campus with 5225 students is taken and whether or not they are left-handed is recorded.
After finding the probability we find that 0.04 students are left-handed from the 209 students randomly selected from the campus.
11 % of the population is left-handed so here we have to find the probability of left-handed students if 209 random students are selected from 5225 students on campus here Favorable outcome is 209 and the total outcome is 5225, so the favorable outcome upon the total number of the outcome.
According to the probability formula :
Probability = [tex]\frac{favorable outcome}{Total number of outcome}[/tex]
Probability = 209 / 5225
After diving the above equation we find that 0.04 students are left-handed from the 209 students randomly selected from the campus.
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1-4: Literal Equations Once a large pink ribbon, the sign of the fight against breast cancer, was erected out of pink post-it notes on a billboard. If the area of the rectangular billboard covered by the ribbon was approximat 3360 square feet, and the width of the billboard was approximately 56 feet, what was the height of this billboard?
If the area of the rectangular billboard covered by the ribbon was approximately 3360 square feet, and the width of the billboard was approximately 56 feet, the height of the billboard would be 71.25 feet.
What is area?The exact measurement that helps to express the size of a region on a plane or curved surface is thus called as area.
Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.
In mathematical terminology, area can be defined as the total space that is taken up by a flat (2-D) surface or shape of a present object.
Here the area of the billboard = 3360 sq feet
Width of the billboard = 56 feet
We know that
area of the billboard = Height of the billboard x Width of the billboard
⇒ Height of the billboard = [Area of the billboard] / [Width of the billboard]
⇒ Height of the billboard= 3360/56
⇒ Height of the billboard = 71.25 feet
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. let ???? be a discrete random variable that is uniformly distributed over the set of integers in the range [????, ????], where ???? and ???? are integers with ???? < 0 < ????. find the pmf of the random variables max(0,????) and min(0,????).
Filling in the blanks, I assume you're talking about a random variable [tex]X[/tex] distributed uniformly over the integers [tex]a\le x\le b[/tex]. Let both [tex]a,b>0[/tex] so we can write the support of [tex]X[/tex] as the set
[tex]S = \{-a, -a+1, -a+2, \ldots, -1, 0, 1, \ldots, b-2, b-1, b\}[/tex]
Note that [tex]|S| = a+b+1[/tex], so the PMF of [tex]X[/tex] is
[tex]\mathrm{Pr}(X=x) = \begin{cases}\frac1{a+b+1} & \text{if } x\in S \\ 0 & \text{otherwise}\end{cases}[/tex]
Let [tex]Y=\max\{0,X\}[/tex]. Then
[tex]Y = \max\{0,X\} = \begin{cases}0 & \text{if } X\le0 \\ X & \text{if } X>0 \end{cases}[/tex]
which tells us
[tex]\displaystyle \mathrm{Pr}(Y=0) = \mathrm{Pr}(X\le0) = \sum_{x=-a}^0 \mathrm{Pr}(X=x) = \frac{a+1}{a+b+1}[/tex]
and
[tex]\displaystyle \mathrm{Pr}(Y\neq0) = \mathrm{Pr}(X>0) = \sum_{x=1}^b \mathrm{Pr}(X=x) = \frac b{a+b+1}[/tex]
Hence the PMF of [tex]Y[/tex] is
[tex]\mathrm{Pr}(Y=y) = \begin{cases}\frac{a+1}{a+b+1} & \text{if } y=0 \\\\ \frac b{a+b+1} & \text{otherwise}\end{cases}[/tex]
Let [tex]Z=\min\{0,X\}[/tex]. The same reasoning applies, but this time
[tex]Z = \min\{0,X\} = \begin{cases} 0 & \text{if } X \ge 0 \\ X & \text{if } X < 0 \end{cases}[/tex]
Now
[tex]\displaystyle \mathrm{Pr}(Z=0) = \mathrm{Pr}(X\ge0) = \sum_{x=0}^b \mathrm{Pr}(X=x) = \frac{b+1}{a+b+1}[/tex]
and
[tex]\displaystyle \mathrm{Pr}(Z\neq0) = \mathrm{Pr}(X<0) = \sum_{x=-a}^{-1} \mathrm{Pr}(X=x) = \frac a{a+b+1}[/tex]
so that
[tex]\mathrm{Pr}(Z=z) = \begin{cases}\frac{b+1}{a+b+1} &\text{if }z=0 \\\\ \frac a{a+b+1} & \text{otherwise}\end{cases}[/tex]
Find x of the triangle
Answer:
x=65
Step-by-step explanation:
47+68+x=180
x=65
:]
Answer: 65 = x
Step-by-step explanation:
1) First find the mini triangles, left and right angles
We will be calling the left one A and the right one B.
2) Next use triangle sum to find B.
62 + 50 + b = 180
b=68
3) Use triangle sum again to find A.
53 + 80 + a = 180
a = 47
4) Use triangle sum to find the top mini angle.
47 + 68 + c = 180
c = 65
5) Since x is in the vertical angle of c, they are equal
c = x
65 = x
The distance between Q(-1, a) and P(3, -2) is 4√5. Find all possible values of a
The numerical values of a in the points Q(-1, a) and P(3, -2) with a distance of 4√5 are 6 and -10.
What is the numerical value of a?The distance formula used in finding the distance between two points is expressed as;
D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )
Given the data in the question;
Point Q( -1, a )
x₁ = -1y₁ = aPoint P( 3, -2 )
x₂ = 3y₂ = -2Distance D = 4√5To find the numerical value of a, plug the given coordinates into the distance formula and simplify.
D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )
4√5 = √( ( 3 - (-1) )² + ( -2 - a )² )
4√5 = √( ( 3 - (-1) )² + ( -2 - a )² )
Square both sides
( 4√5 )² = ( 3 - (-1) )² + ( -2 - a )²
( 4√5 )² = ( 3 + 1 )² + ( -2 - a )²
( 4√5 )² = ( 4 )² + ( -2 - a )²
80 = 16 + ( -2 - a )²
80 - 16 = ( -2 - a )²
64 = ( -2 - a )²
( -2 - a )² = 64
Expand the parenthesis
( -2 - a )( -2 - a ) = 64
a² + 4a + 4 = 64
a² + 4a + 4 - 64 = 0
a² + 4a - 60 = 0
solve for a
( a - 6 )( a + 10 ) = 0
a - 6 = 0, a + 10 = 0
a = 6, a = -10
Therefore, the values of a are 6 and -10.
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Which inequality in vertex form represents the region less than the quadratic function with vertex (-2, 2) and
includes the point (-4, 14) on the boundary?
Answer:
(a) y < 3(x +2)² +2
Step-by-step explanation:
You want to know the inequality representing the region less than the quadratic with vertex (-2, 2) and containing the point (-4, 14).
Vertex formThe vertex form equation for a quadratic with vertex (h, k) and some scale factor 'a' is ...
y = a(x -h)² +k
For the given vertex (-2, 2), the boundary line equation is ...
y = a(x -(-2))² +2 = a(x +2)² +2
Scale factorThe value of 'a' is positive when the curve opens upward.
Here, the point (-4, 14) has a y-value greater than that of the vertex, so we know the curve opens upward (a > 0).
The only reasonable answer choice is ...
y < 3(x +2)² +2
Mike and Raymond each read the same book.Mike reads 182 pages in 7 hours.Raymond reads 168 pages in 6 hours. Based on the rates which statement is true? select TWO correct choices
A.Mike reads faster than Raymond.
B.Raymond reads faster than mike.
C.Mike reads 2 more pages than raymond in one hour.
D.Raymons reads 52 pages in 3 hours.
E.Mike can read 13 pages in half an hour.
Answer:
B and c
Step-by-step explanation:
182/7=26
168/6=28
10-2y=46 solve for y
Answer:
-18
Step-by-step explanation:
first subtract ten from both sides now you're left with -2y=36 ,lastly divide both sides by -2 and you're left with y= -18
the population of rabbits on an island is growing exponential in the year 2008, the population of rabbits was 7100 and by the year 2013 the population had grown to 8900 . Predict the population of rabbits by the year 2023 to the nearest whole number
The population of rabbits by the year 2023 is 13985.
What will the population be?We have to use the following exponential function. This will be:
y = a b^t
In 2008 means, t=0
So we have 7100 = a b^0
a = 7100
y = 7100b^t
In 2013 means t = 2013-2008 =5
8900 = 7100 b⁵
b⁵ = 89/71
b = 1.046
So the equation will be
y = 7100 (1.046)^t
For 2023, t=2023-2008= 15
y = 7100(1.046)¹⁵
= 13985
The population is 13985.
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How can you determine which of the numbers below is greatest 13/20, 5/8, 3/5, 3/10
Answer:
13/20 is the greatest because it is equal to 65% of 100%.
Step-by-step explanation:
5/8 = to 12.5x5=62.5%. 3/5= 20x3=60%. 3/10 = 10x3=30%. So 13/20 is the greatest.
f(x) = −3|x −1| + 4
Answer:
Find the Inverse f(x)=3x-1/4. f(x)=3x−14 f ( x ) = 3 x - 1 4. Step 1. Write f(x)=3x−14 f ( x ) = 3 x - 1 4 as an equation. y=3x−14 y = 3 x - 1 4.
Step-by-step explanation:
The price of an item yesterday was %130.Today, the price rose to $169 . Find the percentage increase.
The percentage increase when the price of an item increased is 30%.
How to calculate the percentage?From the information, the price of an item yesterday was $130 and today, the price rose to $169.
The increase in the price will be:
= $169 - $130
= $39
Therefore, the percentage increase will be:
= Increase in price / Original price × 100
= 39 / 130 × 100
= 30%
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For Kimberly's P.E final she must either walk or run at least 5 miles this week. She knows it would take her 15 minutes to run a mile and 40 minutes to walk a mile, Kimberly only has 6 hours in which she must accomplish this final. Write an equation that represents Kimberly's P.E final for both walking and running. Define all variables
The equation for Kilberly's running or walking will be R+4w ≤ 6.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.
Given that For Kimberly's P.E final she must either walk or run at least 5 miles this week. She knows it would take her 15 minutes to run a mile and 40 minutes to walk a mile, Kimberly only has 6 hours in which she must accomplish this final.
Let the running is represented by 'R' and walking by 'w". The equation will be written as below:-
R + 4W ≤ 6
Put the running and walking times in the equation above.
15 + ( 4 x 40 ) ≤ 6
175 minute ≤ 6 x 60
175 minutes ≤ 360 minutes.
Therefore, Kimberly covers the distance in less than 6 hours.
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17x-5
16x + 3 what is x
Answer:
x = 8
Step-by-step explanation:
17x-5 = 16x + 3
Step 1: Subtract 16x from both sides.
17x−5−16x=16x+3−16x
x−5=3
Step 2: Add 5 to both sides.
x−5+5=3+5
x=8
The solution to the equation is x = 8.
To solve the equation 17x - 5 = 16x + 3 and find the value of x, we can follow these steps:
Start by simplifying both sides of the equation by combining like terms. Add 5 to both sides to move the constant term to the right side of the equation:
17x - 5 + 5 = 16x + 3 + 5
17x = 16x + 8
Next, we want to isolate the x term on one side of the equation.
Subtract 16x from both sides:
17x - 16x = 16x - 16x + 8
x = 8
Therefore, the solution to the equation is x = 8.
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Can someone answer this please?
1. The cheapest meat is Ms barker free Ronge whole chicken in $6 per kilo.
2. The cost of 200 grams of honey leg ham is $3.4.
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The cost of all meat is shown in figure.
Now,
By the figure, we get;
The cheapest meat is Ms barker free Ronge whole chicken which is in
$6 per kilo.
And, The cost of honey leg ham = $17 per kilo
Since, 1 kilograms = 1,000 grams
The cost of 1 gram of honey leg ham = $17/1000
So, The cost of 200 grams of honey leg ham = 200 × 17 / 1000
= $3.4
Thus,
1. The cheapest meat is Ms barker free Ronge whole chicken in $6 per kilo.
2. The cost of 200 grams of honey leg ham is $3.4.
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The speeders soccer team charge $12 to watch each car at a fundraiser car wash. The team collected a total of $672 by the end of the day. How many cars did the team was?
Answer:
they washed 55 cars
Step-by-step explanation:
I did the math good luck
Please help!!!
I’ll give you the Brainiest
Does multiplying by a conversion factor change the
amount of what is being measured?
Answer:
Multiplying a quantity by a conversion factor changes the units that measure a quantity but does not change the original amount of the quantity.
Step-by-step explanation:
There is no explanation
The point-slope form of a line that has a slope of 2/3 and passes through point (6,0) is shown?
y-0=2/3(x-6)
What is the equation in slope-intercept form?
y-2/3x-12
y-2/3x-6
y-2/3x-4
y-2/3x-8
Answer:
See below
Step-by-step explanation:
y-0=2/3(x-6) (expand L side)
What is the equation in slope-intercept form?
y = 2/3 x - 4
when was the temperature decreasing
Answer:
I need you to be more specific and answer options. That is the only way anyone can answer this question.
Step-by-step explanation:
Enter the value of p so the expression 18+4.5n is equivalent to p(6 + 1.5n)
Answer:
p=1
Step-by-step explanation:
p(6+1.5n)=18+4.5n
6p+1.5np = 18+4.5n
18p+4.5np=18+4.5n
p=1
:]
y=-x+7
Graph it also if you can
Answer:
Hope this helps!!
Calculate the number of students per teacher at West Elementary school
Ok, so
We know that, at West Elementary school, there are 438 students and 22 full-time teachers. We want to know the number of students per teacher. This is:
[tex]\frac{438\text{students}}{22\text{teachers}}=19.91\frac{students}{teacher}[/tex]WILL GIVE BRAINLIEST
find all values of x for which (f∘g)(x)=(g∘f)(x).
f(x)=x/(x+2), g(x)=x^2
Step-by-step explanation:
(f○g)(x) means f(g(x))
(g○f)(x) means g(f(x))
f(g(x)) means to use the expression of g(x) as input to f(x). so, we replace all simple x in f(x) by g(x) = x².
f(g(x)) = x²/(x² + 2)
using the same principle we get for
g(f(x)) = (x/(x + 2))² = x²/(x + 2)²
now we need to solve
x²/(x² + 2) = x²/(x + 2)²
let's multiply both sides with both denominators :
x²(x + 2)² = x²(x² + 2)
x²(x² + 4x + 4) = x²(x² + 2)
so, one solution is clear : x = 0.
because then we have 0 = 0.
for x <> 0 we can divide both sides by x² and get
x² + 4x + 4 = x² + 2
4x + 4 = 2
4x = -2
x = -2/4 = -1/2
both expressions are equal for x = 0 and x = -1/2