Answer:
the order of points remains the same
Step-by-step explanation:
Assuming the distortion is isomorphic, the order of points on any line or other continuous curve will remain the same.
The regular price of a baseball cleats is $80. If the cleats are on sale for 45% off. then: (how to solve this two questions?) a) What is the value of the discount, in dollars? b) What is the final selling price of the cleats, before tax?
Answer:
The discount is 36 dollars
The sale price is 44 dollars
Step-by-step explanation:
First find the discount by multiplying the original price by the discount rate
80*45%
Change to decimal form
80*.45
36
The discount is 36 dollars
The sale price is the original price minus the discount
80-36
44
The sale price is 44 dollars
Sean has some candy bars that he wants to give away. He is going to give each person 1/18 of a bar, and he has 2 3/4 to give away How many people will get candy? PLS HELP MEEE
Answer:
49 people
Step-by-step explanation:
Take the amount of candy and divide by the amount in a serving
2 3/4 ÷ 1/18
Change to an improper fraction
(4*2+3)/4 ÷ 1 /18
11/4 ÷ 1/18
Copy dot flip
11/4 * 18/1
198/4
49.5
Round down since people do not want half a serving
49 people
Answer: 2 29/36
Step-by-step explanation:
Entertainment Software Association would like to test if the average age of "gamers" (those that routinely play video games) is more than 30 years old. A Type I error would occur if Entertainment Software Association concludes that the average age of gamers is: _______.
A. Equal to 30 years when, in reality, the average age is not equal to 30 years
B. Not equal to 30 years when, in reality, the average age is equal to 30 years
C. Greater than 30 years when, in reality, the average age is 30 years or less
D. 30 years or less when, in reality, the average age is more than 30 years
Answer:
"30 years or less when, in reality, the average age is more than 30 years"
Step-by-step explanation:
Type I error is produced when conclusion rejects a true null hypothesis.
The null hypothesis is
"The average gamer is more than 30 years old"
(deduced from the wording, not explicitly stated).
Then if the conclusion is "the average gamer is less than or equal to 30 years old" when in reality the average age is more than 30 years, then there is a type I error, since the null hypothesis is rejected.
Answer is D:
"30 years or less when, in reality, the average age is more than 30 years"
If a polynomial function f(x) has roots 3+root5 and -6, what must be a factor of f(x)? (X+(3-root5) (x-(3-root5)) (x+(5+root3)) (x-(5-root3))
Answer:
[tex](x-(3+\sqrt5))[/tex] or [tex](x-3-\sqrt5)[/tex] is a factor of the given polynomial.
Step-by-step explanation:
Let us learn the concept with an example first.
Let the polynomial be a quadratic function [tex]g(x)[/tex].
[tex]g(x) = x^{2} -5x+6[/tex]
The roots of [tex]g(x)[/tex] are 2 and 3.
Putting [tex]x= 2\ in \ g(x)[/tex]
[tex]2^2-5\times 2+6 = 4-10+6 =0[/tex]
Putting [tex]x= 3\ in \ g(x)[/tex]
[tex]3^2-5\times 3+6 = 9-15+6 =0[/tex]
Putting x = 2 or x = 3, g(x) = 0 [tex]\therefore[/tex] The roots of equation g(x) are 2 and 3.
Now, let us try to factorize g(x):
[tex]x^{2} -2x-3x+6\\\Rightarrow x(x -2)-3(x-2)\\\Rightarrow (x-3)(x-2)[/tex]
so, the equation can be written as:
[tex]g(x) = x^{2} -5x+6=(x-3)(x-2)[/tex] where 3 and 2 are the roots of equation.
The factors are (x-3) and (x-2).
[tex]\therefore[/tex] for the polynomial f(x) which has roots [tex]3+\sqrt5\ and\ -6[/tex] will have a factor:
[tex](x-(3+\sqrt5))[/tex] or [tex](x-3-\sqrt5)[/tex]
find the gradient of the line segment between the points N(-1,2) and M(-6,3)
Answer:
1/5
Step-by-step explanation:
Gradient is another word for slope. To find the gradient, we have to use a formula.
A client would like a logo printed onto a canvas that is at least 70 inches tall. The original logo is 4.5 inches wide by 3.6 inches tall. Which dimensions will keep the logo in proportion and large enough to meet the client's requirements?
Answer:
to find the dimension I would get 3.6/4.5=x/70 amd u get 3.6*70=4.5x and u get 252=4.5x and x=56
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let the width of logo printed on canvas = x inches
Dimensions are in proportion
[tex]\frac{70}{x}=\frac{3.6}{4.5}\\[/tex]
Cross multiply
70 * 4.5 = x * 3.6
x * 3.6 = 315
[tex]x=\frac{315}{3.6}\\\\=\frac{3150}{36}\\\\x=87.5inches[/tex]
1/9 − y2 when factored is:
Answer:
Step-by-step explanation:
hello
[tex]\dfrac{1}{9}-y^2=(\dfrac{1}{3})^2-y^2=(\dfrac{1}{3}-y)(\dfrac{1}{3}+y)=\dfrac{(1-3y)(1+3y)}{9}[/tex]
hope this helps
Below you are given a partial computer output from a multiple regression analysis based on a sample of 16 observations.
Coefficients Standard Error
Constant 12.924 4.425
x1 -3.682 2.630
x2 45.216 12.560
Analysis of Variance
Source of Degrees of Sum of Mean
Variation Freedom Squares Square F
Regression 4853 2426.5
Error 485.3
We want to test whether the variable x1 is significant. The critical value obtained from ttable at the 1% level is:_______.
1. ±2.650.
2. ±2.921.
3. ± 2.977.
4. ± 3.012.
Answer:
4. ± 3.012
Step-by-step explanation:
Hello!
Assuming that for both variables X₁ and X₂ n₁= n₂ = 16
You need to test at 1% if the variable is significant, this means, if the slope for X₁ is different from zero (β₁≠0) using the t-statistic and the critical value approach.
The hypotheses are:
H₀: β₁= 0
H₁: β₁≠ 0
α: 0.01
[tex]t= \frac{b_1-\beta_1}{Sb_1} ~t_{n_1-3}[/tex]
The degrees of freedom "n₁-3" are determined by the number of parameters that you estimate for the multiple regression, in this case there are three "β₁" "β₂" and "δ²e"
The rejection region for this test is two-tailed, the critical values are:
±[tex]t_{n-3;1-\alpha /2}= t_{13;0.995}= 3.012[/tex]
I hope this helps!
There is a bag filled with 4 blue and 5 red marbles. A marble is taken at random from the bag, the colour is noted and then it is replaced. Another marble is taken at random. What is the probability of getting at least 1 red?
Answer:
[tex]\dfrac{65}{81}[/tex] or 80.25%
Step-by-step explanation:
Number of blue Marbles = 4
Number of Red Marbles = 5
Total Number of marbles =4+5=9
[tex]P(B)=\dfrac49\\\\P(R)=\dfrac59[/tex]
In the experiment, two marbles are chosen one after the other with replacement.
The possible outcomes are: BB, BR, RB and RR
The probability of getting at least 1 red
=P(BR or RB or RR)
=P(BR)+P(RB)+P(RR)
[tex]=\left(\dfrac49\times\dfrac59\right) + \left(\dfrac59\times\dfrac49\right)+\left(\dfrac59\times\dfrac59\right)\\\\=\dfrac{20}{81}+\dfrac{20}{81}+\dfrac{25}{81}\\\\=\dfrac{65}{81}[/tex]
Expressed as a percentage, we have:
[tex]\dfrac{65}{81}\times100=80.25\%[/tex]
The probability of getting at least 1 red is 80.25%.
The rule of 70 states that if yt grows at a rate of g percent per year, then the number of years it takes yt to:
Answer:
с.ifyt grows at a rate of g percent per year, then the number of years it takes yt to double is approximately equal to 70/g
Step-by-step explanation:
The given options
a.ifyt grows at a rate of g percent per year, then the number of years it takes yt to double is approximately equal to g 70
b. if yt grows at a rate of g percent per year, then the number of years it takes yt to double is approximately equal to 70/1
с.i fyt grows at a rate of g percent per year, then the number of years it takes yt to double is approximately equal to 70/g
d. if yt grows at a rate of g percent per year, then the number of years it takes yt to triple is approximately equal to 70/g
е.ifyt grows at a rate of g percent per year, then the number of years it takes yt to double is exactly equal to 70/g
The rule of 70 refers to the time period in which the investment you make is doubled. It analyzed that in how many years it took for doubling the amount by considering the specific rate of return
Now we go through the options and as we can see that the option c meets the requirement as the g represents the growth rate and it fits to the above explanation
find the value of x that makes abcd a parallelogram
The 4 angles need to add to 360.
2 of them are 70
The other two need to equal 360-140 = 220
They are both the same so one angle needs to equal 220/2 = 110
Now find x:
X + 60 = 110
Subtract 60 from both sides:
X = 50. The answer is D
how many are 4 x 4 ?
What is if we divide 8 by 4 multiply by 6 and add 2 then subtract 2 what is the result?
Answer:
its its 12.
Step-by-step explanation:
=8÷4×6+2-2
=2×6+2-2
=12+2-2
=14-2
=12 is answer..
Answer:
12
Step-by-step explanation:
8÷4×6+2-2
=2×6+2-2
=12+2-2
14-2
=12
Suppose that 3 is a factor of a, a is a divisor of 12, and a is positive. What is the number of possible values of a?
Answer:
3
Step-by-step explanation:
12 is divisible by: 1, 2, 3, 4, 6, 12
Because 3 is a factor of a, that means 3 multiplied by another number equals a. Additionally, a is a divisor of 12, meaning a multiplied by another number equals 12.
Out of the numbers, 12 is divisible by, only 3 are also divisible by 3: 3, 6, 12 This gives three possible values of a.
The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 9 minutes. Find the probability that a randomly selected passenger has a waiting time greater than 4.25 minutes.
Answer:
52.78% probability that a randomly selected passenger has a waiting time greater than 4.25 minutes.
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The probability that we find a value X greater than x is given by the following formula.
[tex]P(X > x) = \frac{b-x}{b-a}[/tex]
Uniformly distributed between 0 and 9 minutes.
This means that [tex]a = 0, b = 9[/tex]
Find the probability that a randomly selected passenger has a waiting time greater than 4.25 minutes.
[tex]P(X > 4.25) = \frac{9 - 4.25}{9 - 0} = 0.5278[/tex]
52.78% probability that a randomly selected passenger has a waiting time greater than 4.25 minutes.
Jane is collecting data for a ball rolling down a hill. She measures out a set of different distances and then proceeds to use a stop watch to find the time it takes the ball to roll. What are the independent, dependent, and control variables in this experiment?
Answer:
Step-by-step explanation:
The independent variables are the input values which are not dependent on the other value.
The dependent variables are the output values whose values depends on the value of some other number.
The independent variable in this case is the data on the set of distances she measured out.
The dependent variable in this case is the the time (measured by the stopwatch) it takes for the ball to roll.
The control variable in this case study is the size of ball, slope of hill, weight of ball etc.
If y = x2 + 2x , find the value of y when x = 3
and
If y = x3 - 3 , find the value of y when x = 2 plsss help me
Answer:
y=15; y=5
Step-by-step explanation:
y=x2+2x
plug in x as 3:
y=3 2+ 2*3
y=9+6
y=15
Next problem:
y=x3-3
plug in x as 2:
y=2 3-3
y=8-3
y=5
One package of tile will cover 3 square feet.How many packages will shee need 8,13,15,39
HELP ASAP
Hey there! :)
Answer:
13 packages.
Step-by-step explanation:
Begin by finding the total area of this composite figure. Separate the figure into separate rectangles. Use the formula A = l × w to calculate the area of each:
Smaller rectangle:
Subtract 7 from 9 to find the width:
9 -7 = 2. Therefore:
2 × 2 = 4 ft².
Larger rectangle:
7 × 5 = 35 ft².
Add up the two areas to find the area of the entire figure:
4 + 35 = 39 ft².
If each package of tile covers 3 ft², simply divide to find the package of tiles needed:
39 / 3 = 13 packages.
Answer:13
Step-by-step explanation:
WILL GIVE BRAINLIEST TO ANSWER:)) <33
Q: A committee of six people is to be formed from a pool of six grade 11 students and seven grade 12 students. Determine the probability that the committee will have two grade 11 students.
Answer: 5/26
Step-by-step explanation: 6/13 x 5/12
Determine f(-1) (3). Use the following table of values
Answer:
-5
Step-by-step explanation:
The value of x that gives f(x) = 3 is -5.
[tex]f^{-1}(3)=-5[/tex]
Given the sequence rn defined recursively below, find r3. r1rn=2=−rn−1+n−2
Answer:
[tex]r_3=3[/tex]
Step-by-step explanation:
Given:
[tex]r_1=2\\r_n=-r_{n-1}+n-2[/tex]
We want to find the value of [tex]r_3[/tex] .
[tex]\\r_2=-r_{2-1}+2-2\\r_2=-r_1\\r_2=-2\\\\r_3=-r_{3-1}+3-2\\r_3=-r_{2}+1\\r_3=-(-2)+1\\r_3=2+1\\r_3=3[/tex]
If two chords in a circle are congruent, then they are
_____
Answer:
A
Step-by-step explanation:
Two congruent chords in a circle have the same distance from the center.
If two chords in a circle are congruent, then they are the same distance from the center of the circle .
What are the properties of equal chords of a circle?The properties of Equal Chords of a Circle are:
In a circle equal-chords are equidistant from the center.Equal-chords of congruent circles are equidistant from the corresponding centers.In a circle equal chords subtend equal angles at the center.According to the question
If two chords in a circle are congruent, then they are
Now,
By properties of Equal Chords of a Circle
The equal chords will be equal distance from the center of the circle .
Hence, If two chords in a circle are congruent, then they are the same distance from the center of the circle .
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Factor completely 2x⁴y³-12x³y²-8x²y
Please help ASAP thanks in advance
Answer:
P(0,4)
Q(2,0)
Step-by-step explanation:
We khow that both P and Q are lying in the line : 4x+2y=8
4x+2y=82y = -4x+8y= -2x+4 P(0,y) ⇒y= -2*0+4=4 ⇒ P(0,4) Q(x,0)⇒ 0=-2*x+4 ⇒ x= 2⇒ Q(2,0)20 pts! If Quadrilateral J K L M is congruent to quadrilateral C B D A, which pair of sides must be congruent? Segment J K and Segment A B Segment J K and Segment C B Segment J M and Segment A D Segment J M and Segment B C
Answer:
segment I'm and segment ad
Answer:
The answer is B
Step-by-step explanation:
A forest ranger spots a fire from the top of a lookout tower. the tower is 160 meters tall and the angle of depression to the fire is 12 degrees. how far is the fire from the base of the tower? round to the nearest meter.
Answer:
The fire is 752.741 meters far from the base of tower
Step-by-step explanation:
Tower=160 meters tall
Angle of Depression=12°
tan(12°)=[tex]\frac{perpendicular(tower)}{base(distance from fire)}[/tex]
tan(12°)=[tex]\frac{160 meters}{base(distance from fire)}[/tex]
Distance from fire= [tex]\frac{160 meters}{tan12}[/tex]
Distance= 752.741 meters
BÉ is an angle bisector of ZABC.
If mŁABE = 2x + 20 and mZEBC = 4x - 6,
determine the value of x.
B.
x = [? ]
You are given that sin(A)=−20/29, with A in Quadrant III, and cos(B)=12/13, with B in Quadrant I. Find sin(A+B). Give your answer as a fraction.
Answer:
[tex]sin(A+B)=-\dfrac{345}{377}[/tex]
Step-by-step explanation:
Given that:
[tex]sin(A)=-\dfrac{20}{29}\\cos(B)=\dfrac{12}{13}[/tex]
A is in 3rd quadrant and B is in 1st quadrant.
To find: sin(A+B)
Solution:
We know the Formula:
1. [tex]sin(A+B) = sinAcosB+cosAsinB[/tex]
2. [tex]sin^{2} \theta+cos^{2} \theta=1[/tex]
Now, let us find the values of cosA and sinB.
[tex]sin^{2} A+cos^{2} A=1\\\Rightarrow (\frac{-20}{29})^2+cos^{2} A=1\\\Rightarrow cos^{2} A=1- \dfrac{400}{941}\\\Rightarrow cos^{2} A=\dfrac{941-400}{941}\\\Rightarrow cos^{2} A=\dfrac{441}{941}\\\Rightarrow cos A=\pm \dfrac{21}{29}[/tex]
A is in 3rd quadrant, so cosA will be negative,
[tex]\therefore cos A=-\dfrac{21}{29}[/tex]
[tex]sin^{2} B+cos^{2} B=1\\\Rightarrow sin^{2} A+(\frac{12}{13})^2=1\\\Rightarrow sin^{2} B=1- \dfrac{144}{169}\\\Rightarrow sin^{2} B=\dfrac{169-144}{169}\\\Rightarrow sin^{2} B=\dfrac{25}{169}\\\Rightarrow sinB=\pm \dfrac{5}{13}[/tex]
B is in 1st quadrant, sin B will be positive.
[tex]sinB =\dfrac{5}{13}[/tex]
Now, using the formula:
[tex]sin(A+B) = sinAcosB+cosAsinB\\\Rightarrow -\dfrac{20}{29} \times \dfrac{12}{13}-\dfrac{21}{29}\times \dfrac{5}{13}\\\Rightarrow -\dfrac{20\times 12+21\times 5}{29\times 13} \\\Rightarrow -\dfrac{240+105}{29\times 13} \\\Rightarrow -\dfrac{345}{377}[/tex]
[tex]sin(A+B)=-\dfrac{345}{377}[/tex]
what is 3 + 3 × 3 + 3 =
Answer:
15
Step-by-step explanation:
PEMDAS
3x3 = 9
3+3 = 6
9+6 = 15
By the BODMAS rule we get, 3 + 3 × 3 + 3 = 15
The acronym BODMAS rule is used to keep track of the right sequence of operations to do when solving mathematical issues. Brackets (B), order of powers or roots (O), division (D), multiplication (M), addition (A), and subtraction (S) are all represented by this acronym (S).
3 + 3 × 3 + 3 =
3 × 3 = 9
3 + 9 + 3 = 15.
Therefore, the correct answer is 15.
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2.4.16
Let:
U= {a,b,c,d,e,f,g,h}
A = {b,d,e}
B = {a,d,e}
C={a,c,f,g,h}
Find the set (AnB) U (Anc).
Select the correct choice below and if necessary fi
Answer:
(A⋂B) U (A⋂C) = {d, e}
Step-by-step explanation:
U= {a,b,c,d,e,f,g,h}
A = {b,d,e}
B = {a,d,e}
C={a,c,f,g,h}
=> A⋂B = {d,e}
=> A⋂C = ∅
=> (A⋂B) U (A⋂C) = {d, e}