Answer:
The rule of translation is [tex]A(x',y') = A(x,y) + (5,-3)[/tex].
The translated vector is [tex]A(x',y') = (9, 4)[/tex].
Step-by-step explanation:
Let supposed that translation to the right is in the +x direction and translation downwards in the -y direction.
We procced to translate the operation into mathematic terms. A translation consists in a vectorial sum on a given vector. That is:
[tex]A(x',y') = A(x,y) + U(x,y)[/tex] (Eq. 1)
Where:
[tex]A(x,y)[/tex] - Original vector, dimensionless.
[tex]U(x,y)[/tex] - Translation vector, dimensionless.
[tex]A(x',y')[/tex] - Translated vector, dimensionless.
If we know that [tex]U(x, y) = (5, -3)[/tex], then the rule of translation is described by:
[tex]A(x',y') = A(x,y) + (5,-3)[/tex] (Eq. 2)
If [tex]A(x, y) = (4,7)[/tex], then the new location of A is:
[tex]A(x',y') = (4,7)+(5,-3)[/tex]
[tex]A(x',y') = (9, 4)[/tex]
The translated vector is [tex]A(x',y') = (9, 4)[/tex].
An elevator descends at a constant speed. What is the
change in elevation after 19 seconds?
Time
(Sec.)
1
6
10
12
Elevator Descent
Change in Elevation
(Meters)
-2.25
- 13.5
-22.5
- 27
Answer:
-42.75 meters
Step-by-step explanation:
(I’m sorry for the horrible quality but please help ASAP) which proportion can be used to show that the slope of PR Is equal to the slope of rt?
Answer:
Correct option: F.
Step-by-step explanation:
The slope of a line
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
To show the slope of PR is equal to the slope of RT, we'll use the extreme points of each segment.
For PR, use P=(-7,7) R=(-4,3). Now calculate the slope
[tex]\displaystyle m=\frac{3-7}{-4-(-7)}[/tex]
For RT, use R=(-4,3) (2,-5). Calculate the second slope:
[tex]\displaystyle m=\frac{-5-3}{2-(-4)}[/tex]
If both slopes are equal, then:
[tex]\displaystyle m=\frac{3-7}{-4-(-7)}=\frac{-5-3}{2-(-4)}[/tex]
Correct option: F.
A random sample drawn from a population with mean μ= 66 and standard deviation σ= 6.
Required:
a. Comment on the sampling distribution of the sample mean with n = 16 and n = 36.
b. Can you use standard normal distribution to calculate the probability that the sample mean falls between 66 and 68 for both sample sizes?
c. Report the probability if you answered yes to the previous question for either sample size.
Answer:
In step by step explanation
Step-by-step explanation:
a) Normal distribution N( 0, 1 )
If the sample size is equal n = 16 we have to use t-student distribution since n < 30.
In the case n = 36 we should use normal distribution (z tables)
b) We can´t use the standard normal distribution to calculate the probability that the sample mean falls between 66 and 68 in the first case n < 30 .
We can calculate that probability in the case of the second sample
12.5.17
Two dice are rolled.
a) Determine the number of points in the sample space.
b) Determine the probability that a double (a 1, 1 or 2, 2, etc.) is rolled.
c) Determine the probability that a sum of 6 is rolled.
d) Determine the probability that a sum of 11 is rolled.
e) Are you as likely to roll a sum of 6 as you are of rolling a sum of 11?
a) There are 36 points in the sample space.
b) The probability that a double is rolled is
(Simplify your answer.)
Answer:
(a) 36 points
(b) Pr(rolling a double number) ≅ 0.167
(c) Pr(a sum of 6 is rolled) ≅ 0.139
(d) Pr(a sum of 11 is rolled) ≅ 0.056
(e) No.
Step-by-step explanation:
Sample space = {1,1 1,2 1,3 1,4 1,5 1,6 2,1 2,2 2,3 2,4 2,5 2,6 3,1 3,2 3,3 3,4 3,5 3,6 4,1 4,2 4,3 4,4 4,5 4,6 5,1 5,2 5,3 5,4 5,5 5,6 6,1 6,2 6,3 6,4 6,5 6,6}
(a) The number of points in the sample space is 36.
(b) Pr(rolling a double number) = [tex]\frac{6}{36}[/tex]
= [tex]\frac{1}{6}[/tex] ≅ 0.167
(c) Pr(a sum of 6 is rolled) = [tex]\frac{5}{36}[/tex] ≅ 0.139
(d) Pr(a sum of 11 is rolled) = [tex]\frac{2}{36}[/tex]
= [tex]\frac{1}{18}[/tex] ≅ 0.056
(e) No. It is more likely to roll a sum of 6 than that a sum of 11.
How many different 6 letter words can be made from the word SMOOTH?
Answer:
0
Step-by-step explanation:
But you can make 5 letter words, 4, 3, and 2, just no 6 letters.
HELP PLEASEEEE! suppose the average wait time for a sandwich at a local deli is 5 min with a standard deviation of 3 min. Is it unusual to get a sandwich in only 12 minutes?
A. Yes because 12 min is more than two standard deviations below the mean.
B. No, because 12 min is less than two standard deviations above the mean.
C. No, because 12 min is more then two standard deviations above the mean.
D. Yes because 12 min is more than two standard deviations above the mean.
Answer:
D
Step-by-step explanation:
Here, we want to state if it is unusual or not get a sandwich in 12 minutes given the mean time and the standard deviation.
The answer here is that it is unusual.
The reason why it is unusual is because, two standard deviations above the mean in this case will be 5 + 3 + 3 = 11
Looking at the value given which is 12, we can see that this value is actually greater than the value which is 2 standard deviations above the mean.
What we are saying here is that 12 is greater than two standard deviation above the mean which is valued at 11
24 + 28 as a product of two factors using the GCF and distributive property
Answer:
52
Step-by-step explanation:
Using GCF:
The factors of 24 are; 1, 2, 3, 4, 6, 8, 12, 24
Factors of 28 are; 1, 2, 4, 7, 14, 28
The highest greatest common factor is 4.
Now, 4 × 6 gives 24
While 4 × 7 gives 28.
Thus, our original equation is now;
4(6 + 7)
Using distributive property, let's add the number in the bracket first to get;
4(13).
Now,we multiply out to get 52.
Answer:4(7+6)
Step-by-step explanation: i passed the quiz with an 100%
Pls help
8th grade math
Answer:
per night 50 cost
Step-by-step explanation:
sorry but i goo
Question 2 (10 points) (02.05 MC) Triangle PQR is transformed to triangle P′Q′R′. Triangle PQR has vertices P(8, 0), Q(6, 2), and R(−2, −4). Triangle P′Q′R′ has vertices P′(4, 0), Q′(3, 1), and R′(−1, −2). Plot triangles PQR and P′Q′R′ on your own coordinate grid. Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P′Q′R′? Explain your answer. (4 points) Part B: Write the coordinates of triangle P′′Q′′R′′ obtained after P′Q′R′ is reflected about the y-axis. (4 points) Part C: Are the two triangles PQR and P′'Q′'R′' congruent? Explain your answer. (2 points)
Answer: From R:(c, d), draw line segment RA perpendicular to the x-axis. Let O denote the origin (0,0).
area ΔPQR = area trapezoid OPRA- area ΔQAR - area ΔOPQ
=
2
1
c(a+d) -
2
1
d(c−b)-
2
1
ab=
2
1
(ac+bd−ab).
If c area ΔPQR = area trapezoid OPRA + area Δ QAR - areaΔOPQ=
2
1
c(a+d)
2
1
d(b−c)−
2
1
ab=
2
1
(ac+bd−ab).
Step-by-step explanation: done
Armando and Mikayla have a new grandson. How much money should they invest now so that he
will have $80,000 for his college education in 18 years? The money is invested at 8% compounded
annually
9514 1404 393
Answer:
$20,020
Step-by-step explanation:
The future value formula is helpful.
FV = P(1 +r)^t
$80,000 = P(1.08^18) = 3.9960195P
P = $80,000/3.9960195 = $20,019.92
They should invest about $20,020 now.
How many 1-inch cubes fill one row of the carton?
Answer: 5 because it has 5 space left
Answer:
5
Step-by-step explanation:
i did this on i-ready and got it right Good luck!
5 square root of 2 help please
Being tested hurry pls.
All of the following statements about the Jumanos are true except: a. They hunted buffalo. b. They were avid traders. c. They lived along the Rio Grande. d. They still live near El Paso today.
Answer:
b
Step-by-step explanation:
A square rug covers 79 square feet of floor. What is the approximate length of one side of the rug? (Approximate to the nearest hundredth foot.) PLEASE HELP!!
Answer:
A = a^2.....the Area (A) of a square = a^2...where a = one side
79 = a^2...now take the sqrt of both sides, this eliminates the ^2
sqrt 79 = a
8.888 rounded = 8.89 = a......so one side = 8.89 ft
Step-by-step explanation:
The graph below shows a transformation of y
- 2x
Write the equation for the graph in the comment
Answer:
[tex]y=-2^{(x+2)}+1[/tex]
Step-by-step explanation:
Equation of the parent function of the graph attached is,
y = [tex]2^{x}[/tex]
Let the equation of the transformed function function shown in the graph be,
y = a(2ˣ) + b
Now we will find the values of a and b by substituting the points lying on the curve.
For (-2, 0),
0 = a(2⁻²) + b
[tex]\frac{a}{4}+b=0[/tex] ------(1)
For (0, -3),
-3 = a(2⁰) + b
a + b = -3 --------(2)
Subtract equation (1) from equation (2),
(a + b) - ([tex]\frac{a}{4}+b[/tex]) = 0 + 3
[tex]\frac{3a}{4}=3[/tex]
a = -4
From equation (2),
-4 + b = -3
b = 1
Therefore, equation of the transformed function will be,
[tex]y=-4(2^x)+1[/tex]
[tex]y=-2^{2}(2^x)+1[/tex]
[tex]y=-2^{(x+2)}+1[/tex]
Graph transformation is the process by which an existing graph is modified to produce a variation of the proceeding graph.
Equation of transformed graph is, [tex]y=-2^{x+2}+1[/tex]
Here, equation of original graph is given, [tex]y=2^{x}[/tex]
Let us consider, equation of transformed graph is, [tex]y=m(2^{x} )+n[/tex]
Since, given graph passing through points (-2,0) and (0,-3)
Substituting above points into equation.
We get two equation,
m +4n = 0
m + n = -3
After solving, we get m= -4 and n = 1
So, equation becomes [tex]y=-2^{x+2}+1[/tex]
Learn more:
https://brainly.com/question/10510820
Researchers tracked 2668 people from early childhood through adulthood and found that 13-year-olds who are frequent
targets of bullies were three times more likely than their non-victimized peers to be depressed later as adults.
Identify the population, sample, and variables for the study.
Answer:
Step-by-step explanation:
(A) The population is the 2,668 people who were tracked from early childhood to adulthood.
(B) The sample comprised all 13-year olds within the population. Since the members of the population started out as kids (and later became adults), the sample was inclusive of all 2,668 individuals but only at the age of 13. That is where the focus was; at the age of 13.
The study then proceeded to divide them into two groups - the experimental group (13 year olds who were frequent targets of bullies) and the non-experimental group (13 year olds who were not frequent targets of bullies).
(C) The variables in this study are:
- 13 year olds who were frequent targets of bullies
- 13 year olds who were not frequent targets of bullies
- Adults (from the same population who were once 13 year olds) with depression
- Adults (from the same population who were once 13 year olds) without depression.
NOTE HOWEVER that the degree of bullying each teenager faced and the magnitude of depression each adult faced, can be gotten from the above variables; when they assume a figure or number which can be high, low or medium.
Indicate which property is illustrated in Step 2
7 + (1 + 7) + 0 = 7+ (7 + 1) + 0
= (7 + 7) + (1 + 0)
= (7 + 7) + 1
= 14 +1
Step 1
Step 2
Step 3
Step 4
OA. commutative property of multiplication
OB. identity property of addition
oc. distributive property
OD. associative property of addition
Answer:
the associative property of addition i think
Step-by-step explanation:
Which equation expresses d in terms of t and a?
Answer:
Option D
Step-by-step explanation:
I got it right
Kai is making a chessboard using pieces of wood that measure 1 square inch.
When he finishes, the chessboard will have an area of 64 square inches.
How many pieces of wood should he put along each side?
A cube has a volume of 125 cubic inches. What is the length of each edge?
Answer:
The correct option will be: c. 8 pieces of wood.Step-by-step
help help help math math math
Answer:
75 degrees
Step-by-step explanation:
Well, I mean, that this is simple (I think) because a complementary angle is angles that add up to a 90 degree angle.
So if an angle is three times than another and add up to 90 degrees,
then it has to be 75 and 25 because 75+25=90 and 75/3=25 and 25x3=75.
Hope this is what you're looking for!
Answer:
hi
Step-by-step explanation:
question 11 I mark as brainliest
Answer:
32
Step-by-step explanation:
Lane French had a bad credit rating and went to a local cash center. He took out a $100 loan payable in two weeks at $111.50. What is the percent of interest paid on this loan? (Do not round intermediate calculations. Round your answer to the nearest whole percent.)
Answer:$15 = 100 x rate x (2/52)
The 2/52 represents 2 weeks out of 52 weeks in a year
So 15/100 = rate x (2/52)
.15 = rate x (2/52)
If you divide by (2/52) on both sides, you get: 3.9 = rate
Don't be fooled by this answer, because it is not in percent form. In order to get it into percent form you need to multiply by 100. So the percent of interest paid on the loan is 390%.
In a lot of these problems you can predict around the percentage before you even do the problem. In this problem, you can tell that the percentage is going to be high because the loan has accrued $15 interest in just two weeks (15% in just two weeks!)
So if there is 15% interest in two weeks, you know it is going to be a very high annual percentage.
I am very confident that this is the answer, if you can check the answer with your online homework I would do so and send me a message to let me know. Also, if you need more clarification I am happy to message you more without a charge. Let me know!!$15 = 100 x rate x (2/52)
The 2/52 represents 2 weeks out of 52 weeks in a year
So 15/100 = rate x (2/52)
.15 = rate x (2/52)
If you divide by (2/52) on both sides, you get: 3.9 = rate
Don't be fooled by this answer, because it is not in percent form. In order to get it into percent form you need to multiply by 100. So the percent of interest paid on the loan is 390%.
In a lot of these problems you can predict around the percentage before you even do the problem. In this problem, you can tell that the percentage is going to be high because the loan has accrued $15 interest in just two weeks (15% in just two weeks!)
So if there is 15% interest in two weeks, you know it is going to be a very high annual percentage.
I am very confident that this is the answer, if you can check the answer with your online homework I would do so and send me a message to let me know. Also, if you need more clarification I am happy to message you more without a charge. Let me know!!
Step-by-step explanation:
Heeeeeeeeeeeeeeelllllllllllllpppppppppp
Answer: She must wash at least 13 cars
Therefore, Grace must wash at least 13 cars in order to have $65 in spending money
angle A and angle B are supplementary angles. If m angle A=(7x+15)^ and m angle B=(x+13)^ , then find the measure of angle A
Someone please help!!!!!!
Answer:4/5 > 5/7 > 3/8 > 1/3 > 2/7
Step-by-step explanation: just make them all one denomator and do the greatest to least greatest
1.Jose is solving an equation 4(x-2) = 18. The first step to solving is 4x -8 = 18. What would the
next step be?
PLS HELP THANK YOU
Answer: x = 13/2
Step-by-step explanation:
Distribute: 4(x - 2) = 18
4x - 8 = 18
Add 8 to both sides
4x - 8 + 8 = 18 + 8
Simplify:
4x = 26
Divide both sides of the equation by the same term
4x = 26
4x/4 and 26/4
Cancel term that are both in the numerator and denominator
Divide the numbers
X = 13/2
Round 24,837,618 to the ten thousands place. I’m on math college so I need help on this problem!
Answer:
24,840,000
Step-by-step explanation:
Round up of numbers includes rounding them up to a given place value.
We are asked to round 24,837,618 to the ten thousands place.
The ten thousands place is the place where the number 3 in the number is located.
The number after 3 = 7 is a number above 5. Hence, we add 1 to 3, making it 4
Therefore, 24,837,618 to the ten thousands place is 24,840,000
175 miles at a speed of 25 miles per hour?
Answer:
That would take you 7 hours to get to your location.
Mandy, Carly, and Armond collect sports jerseys. Carly has 5 more jerseys than Mandy, and
Armond has three times as any jerseys as Carly. Altogether, they have 80 jerseys. Find the
number of jerseys each person has.
(1 Point)
Enter your answer using c for Carly, m for Mandy and a for Armond.
Enter your math answer
Simon score 4x10^2 points in a game. Joe scored 2x10^3 points in the same game. whose score is higher? how much higher?
Answer:
Joe scored higher by 1600
Step-by-step explanation:
Given
[tex]Simon = 4 * 10^2[/tex]
[tex]Joe = 2 * 10^3[/tex]
Solving (a): Which is higher?
First, we need to convert both numbers to whole numbers
[tex]Simon = 4 * 100[/tex]
[tex]Simon = 400[/tex]
[tex]Joe = 2 * 10^3[/tex]
[tex]Joe = 2 * 1000[/tex]
[tex]Joe = 2000[/tex]
2000 is greater than 400;
Hence, Joe score higher
Solving (b): By how much?
We simply calculate the difference
[tex]Difference = Joe - Simon[/tex]
[tex]Difference = 2000 - 400[/tex]
[tex]Difference = 1600[/tex]