Answer:
slope: −5/2
y-intercept: (0,0)
Step-by-step explanation:
use the slope-intercept form y=mx+b to find the slope and y-intercept
12 is what percent of 80?
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[tex] \frac{12}{80} \times 100 = \\ [/tex]
[tex] \frac{4 \times 3}{4 \times 20} \times 100 = \\ [/tex]
[tex] \frac{3}{20} \times 100 = \\ [/tex]
[tex] \frac{100}{20} \times 3 = \\ [/tex]
[tex]5 \times 3 = 15 \: \: \: percent[/tex]
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Need help asap
How many solutions does 5 - 2x = 3 + x -4 - 3 have
A. No solution
B. two
C. one
D.infinite
In a normal distribution, 95% of the data fall within how many standard
deviations of the mean?
O A. Two standard deviations
O B. One standard deviation
C. It cannot be determined from the given information.
O D. Three standard deviations
In a normal distribution, 95% of the data falls within two standard deviations.
What is a normal distribution?
The most typical distribution function for independent, randomly produced data is the normal distribution, commonly known as the Gaussian distribution. Every statistical report uses this well-known bell-shaped curve, from survey analysis and quality control to resource allocation.
Here,
We have to determine in a normal distribution, 95% of the data fall within how many standard deviations of the mean.
We concluded that 95% of the data points will fall within two standard deviations of the mean. 99.7% of the data points will fall within three standard deviations of the mean.
Hence, In a normal distribution, 95% of the data falls within two standard deviations.
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2E What is the greatest whole number less than 1000 that:
(1) can be expressed as the sum of two consecutive whole numbers, and
(2) can be expressed as the sum of three consecutive whole numbers, and
(3) can be expressed as the sum of five consecutive whole numbers
Answer:
(1) 499 and 500 are the greatest consecutive whole numbers whose sum is less than 1000.
(2) 332, 333 and 334 are the greatest consecutive whole numbers whose sum is less than 1000.
(3) 197, 198, 199, 200 and 201 are the greatest consecutive whole numbers whose sum is less than 1000.
Step-by-step explanation:
(1) Let be [tex]n \in \mathbb{Z}[/tex], such that:
[tex]n + (n+1) < 1000[/tex]
[tex]2\cdot n +1 < 1000[/tex] (Eq. 1)
Then we solve the inequation by algebraic means:
[tex]2\cdot n < 999[/tex]
[tex]n < \frac{999}{2}[/tex]
[tex]n < 499.5[/tex]
Which means that greatest value of [tex]n[/tex] is 499. In consequence, 499 and 500 are the greatest consecutive whole numbers whose sum is less than 1000.
(2) Let be [tex]n \in \mathbb{Z}[/tex], such that:
[tex]n+(n+1)+(n+2) < 1000[/tex]
[tex]3\cdot n + 3 < 1000[/tex] (Eq. 2)
Then we solve the inequation by algebraic means:
[tex]3\cdot n < 997[/tex]
[tex]n < \frac{997}{3}[/tex]
[tex]n < 332.333[/tex]
Which means that greatest value of [tex]n[/tex] is 332. In consequence, 332, 333 and 334 are the greatest consecutive whole numbers whose sum is less than 1000.
(3) Let be [tex]n \in \mathbb{Z}[/tex], such that:
[tex]n +(n+1)+(n+2)+(n+3)+(n+4) < 1000[/tex]
[tex]5\cdot n + 10 < 1000[/tex] (Eq. 3)
Then we solve the inequation by algebraic means:
[tex]5\cdot n <990[/tex]
[tex]n < \frac{990}{5}[/tex]
[tex]n < 198[/tex]
Which means that greatest value of [tex]n[/tex] is 197. In consequence, 197, 198, 199, 200 and 201 are the greatest consecutive whole numbers whose sum is less than 1000.
pog help pog pog pog pog pog pog pog pog pog
Answer:
POG
Step-by-step explanation:
poggers + poggers = POGCHAMP
Answer:
only the green and pink line repent a proportional relationship
Two times a number is 16 more than 10. What is the number?
Answer:
3
Step-by-step explanation:
2n+10=16
2n=6
n=3
classify triangles by its sides and angles geometry
Answer:
1. isosceles and acute
2. Scalene and acute
3. Equilateral and equiangular
4. Right (and isosceles ?)
(not sure ab isosceles for the last one but everything else is fine)
:)
HELP ASAP TEST SOON IMMA FAIL THAT B! HELLLPPPPP! DUE IN 10 MINS HELP! 1. What equation is represented on the graph below?
Step-by-step explanation:
1 is the starting point since it is on the the axis.
then you would use the rise over run method to get the fraction. it rises by two and runs by 1 which would get you 2/1. so the answer should be y=1+2/1
(it is an addition sign since it is a positive slope)
One number is 2 more than the other. The small one is 4 times equal to triple the larger number . What is the value of both the larger and smaller number?
Answer:
n + (3n)+7 =
4n+7
And that is the answer
Step-by-step explanation:
I’d ABCD is dilated by a scale factor of 2 about point E, which of the following is true about line segment E’F’
Answer:
Line Segment EF passes through the center of the dilatation
Step-by-step explanation:
I just know...
Option (4) will be the correct option.
Given in the question,
ABCD is dilated by a scale factor of 2 about point E.A'B'C'D' is the dilated figure.Option (1). E'F' is perpendicular to EF.
Since, center of dilation of ABCD is at E, E' will coincide point E.
Therefore, EF and E'F' can't be perpendicular.
Option (2). E'F' is parallel to EF.
Since, center of dilation of ABCD is at E, point E' will coincide point E.
Therefore, E'F' can't be parallel.
Option (3). E'F' intersects with point B'.
Since, center of dilation of ABCD is at E, EF will lie on E'F'.
Therefore, E'F' cant intersect point B'.
Option (4). E'F' passes through center of dilation.
Since, center of dilation of ABCD is at E, therefore, E'F' will pass through the center of dilation E.
Therefore, Option (4) is the correct option.
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ABC is a straight line.
The length of AB is four times the length of BC.
AC = 75 cm.
Work out the length of AB.
Answer:
60
Step-by-step explanation:
so 4 of BC will make a AB, so AC =5 of BC =75
therefore BC=75/5=15
If BC=15 and AB=4*BC=4*15=60
A project has each of the following characteristics except ____.
A. Clearly defined scope, deliverables, and results.
B. An estimated budget that is subject to a high degree of uncertainty.
C. Low risk with a high profit potential or benefits.
D. An estimated time frame or schedule that is subject to a high degree of uncertainty.
Answer:
C. Low risk with a high profit potential or benefits.
Step-by-step explanation:
I hope this helps.
1.(07.01 LC)
What is the value of x in the equation -6 + x = -52 (1 point)
A1
B11
C-1
D-11
It's -46, because if you add -6 and -46 you get -52
Find the equation of the line that passes through the pair of points. Write your answer in slope-intercept form.
(−2, −4), (2, 0)
Answer:
y = x - 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Point (-2, -4)
Point (2, 0)
Step 2: Find slope m
Substitute: [tex]m=\frac{0+4}{2+2}[/tex]Add: [tex]m=\frac{4}{4}[/tex]Divide: [tex]m=1[/tex]Step 3: Find y-intercept b
Substitute in m: y = x + bSubstitute in point: 0 = 2 + bIsolate b: -2 = bRewrite: b = -2Step 4: Write linear equation
Slope-Intercept Form: y = x - 2
And we have our final answer!
Find the distance between the two points. (2,7) and (−18,22)
Answer:
d = 25
Step-by-step explanation:
d = sqrt( (y2 - y1)^2 + (x2 - x1)^2 )
d = sqrt( (7 - 22)^2 + (2 - (-18) )^2 )
d = sqrt ( (- 15)^2 + 20^2 )
d = sqrt ( (225) + (400) )
d = sqrt (625)
d = 25
Multiply the pairs of numbers and match them to their products.
Answer:
-1.2*-7=8.4 -2.5*-2=5 2.5*-2=-5 -1.2*7=-8.4
Step-by-step explanation:
Determine the range of the function graphed above.
OA. (-4, 0]
OB. [0, 4]
Oc. (-00, 4]
OD. [4, 00)
Answer:
Step-by-step explanation:
the range are the y values so must be [4,-∞) because if you look at the y-axis the highest value is 4 and the lowest goes to -∞
Sarah was given an exit slip with the problem: "45 is 75% of what?" Below is how she set up the equation with equivalent ratios.
Was she correct ? Or is there an error that can be corrected?
1.yes,she is correct
2.no, she should have set it up x/45 = 100/45
3.no,she should have set it up 45/x =75/100
The answer should be 60 if im correct.
Caleb runs laps at the local track. The circular track measures 70 feet across its diameter. How many feet will Caleb run if he stays on the outer edge of the track? (Round to the nearest whole number.)
Answer:
Caleb will run 237 ft
Step-by-step explanation:
Answer:
Caleb will run 220 ft.
Step-by-step explanation:
70 * pi = 220 ft
(30 point!)
David needs to travel between the store, the bank, and his home. The diagram shows his destinations and the angles formed. Which list shows the distances between these places from greatest to least?
Step-by-step explanation:
58 ,43 and 82 thats rhe answer if you have any questions please let me know
Katie's new juicer is able to squeeze 3/4 of a cup of orange juice 1/12 of a bag of oranges. Compute the unit rate of cups per bag of oranges
Jessie is going to the county fair. The cost of admission is $5.00 and it is $2.00 for each ride. If Jessie has $19.00, Write an equation to determine how many rides Jessie can ride. Draw and use algebra tiles to solve.
By direct calculation, we will see that Jessie can go to 7 rides in the county fair.
So we know that the cost of admission is $5.00 and each ride costs $2.00.
So if you go to the county fair and go to x rides, the cost is:
c(x) = $2.00*x + $5.00
And you have $19, then by solving:
c(x) = $19
We can find the number of rides at which Jessie can go.
$19 = $2.00*x + $5.00
$19 - $5 = $2*x
$14 = $2*x
$14/$2 = x = 7
Jessie can go to 7 rides.
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John is a quarterback this year he completed 350 passes which is 70% of all passes he is attempting this year
Answer:
John attempted 500 passes.
Step-by-step explanation:
350 / x = 70%
350 = 0.7x
x = 500
please answer this question below fast
Answer:
42 m^2
Step-by-step explanation:
Answer:
39 meters squared
Step-by-step explanation:
i dont care if i got it wrong because i am a geniuds yhsnkd thanks
Find two real numbers whose sum is 12 and whose product is 32.
The sum of a number and five more than the number is fifteen
Answer:
5
Step-by-step explanation:
5 plus 5 more than 5 is 15
which is the equation of a line in point slope form that passes through the point 2,5 and has a slope of 1/2
Answer:
see below
Step-by-step explanation:
Point slope form is
y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y - 2 = 4(x- -1)
y - 2 = 4(x+1)
slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = 4x+b
Substituting the point in
2 = 4(-1)+b
2 = -4+b
6 =b
y = 4x+6
standard form
Ax +by = c where A is a positive integer and b and c are integers
y = 4x+6
Subtract 4x from each side
-4x+y = 6
Multiply by -1
4x -y = 6
These tables represent a quadratic function with a vertex at (0,3). What is the
average rate of change for the interval from x = 7 to x = 8?
х
Interval
у
3
0
1
2
-1
-6
Average rate
of change
-1
1-2
-3
1-2
-5
1-2
-7
1-2
-9
1-2
-11
O to 1
1 to 2
2 to 3
3 to 4
4 to 5
5 to 6
3
4
TTT
5
-13
-22
-33
6
Answer: -15
Step-by-step explanation:
The average rate of change for the interval from x = 7 to x = 8 is -15. The correct option is B.
What is quadratic function?A quadratic polynomial in mathematics is a polynomial of degree two in one or more variables. The polynomial function defined by a quadratic polynomial is known as a quadratic function.
Since the quadratic function has a vertex at (0,3), the equation for the function can be written in vertex form as:
y = a(x - 0)^2 + 3
Where "a" is a constant that determines the shape of the parabola. To find the value of "a", we can use one of the other points on the parabola. Let's use the point (1, 2):
2 = a(1 - 0)^2 + 3
Simplifying this equation, we get:
a = -1
So the equation for the quadratic function is:
y = -x^2 + 3
Now we can use this equation to find the average rate of change between x = 7 and x = 8. The value of the function at x = 7 is:
y = -7^2 + 3 = -46
The value of the function at x = 8 is:
y = -8^2 + 3 = -61
The average rate of change between x = 7 and x = 8 is:
(y2 - y1) / (x2 - x1) = (-61 - (-46)) / (8 - 7) = -15
Therefore, the average rate of change for the interval from x = 7 to x = 8 is -15.
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Rewrite 14/32 in simplest form.
Answer:
7/16
Step-by-step explanation:
Answer:
14/32 = 7/16
Step-by-step explanation:
You divide each number by two
The residual for a predicted relative abundance when the rainfall was 3 inches is 1.25. What is the actual relative abundance when the rainfall was 3 inches
Answer:
The actual relative abundance will be "7.59".
Step-by-step explanation:
The residual on something like a curve anywhere at a point becomes expressed as the maximum at either the position between some of the real y-value as well as the expected y-value. Consequently, the difference regarding true relative abundance as well as expected relative abundance seems to be 1.25 whether we presume that the x-variable represents rainfall, as well as they-variable, represents the relative abundance of locusts.The predicted relative abundance for 3 inches rainfall will be:
= [tex]6.7 - (0.12\times 3)[/tex]
= [tex]6.34[/tex]
The residual will be:
= [tex]actual - predicted \ relative \ abundance[/tex]
= [tex]1.25[/tex]
Now,
The actual relative abundance will be:
= [tex]1.25 + predicted \ relative \ abundance[/tex]
= [tex]1.25 + 6.34[/tex]
= [tex]7.59[/tex]
Remember that perhaps the residual positive value means that even the calculation underestimates the relative abundance. The real relative abundance, however, is 7.59.
