Graph the image of trapezoid PQRS after a translation 9 units right and 10 units up.
Answers
Q (-1,10)
P (-1,6)
S (2,0)
R (3,6)
Related Questions
A random sample of 21 desktop PCs is selected. The mean life span is 6.8 years with a standard deviation of 2.4 years. Construct a 95% confidence interval for the mean life span of all desktop PCs. Assume that the life spans of all desktop PCs are approximately normally distributed (a) (5.85, 7.75) (b) (1.68, 3.12) (c) (5.60, 8.00) (d) (5.71, 7.89) (e) (5.77, 7.83)
Answers
Answer:
(d) (5.71, 7.89)
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 21 - 1 = 20
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 20 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.086
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.086\frac{2.4}{\sqrt{21}} = 1.09[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 6.8 - 1.09 = 5.71 years
The upper end of the interval is the sample mean added to M. So it is 6.8 + 1.09 = 7.89 years
So the confidence interval is (5.71, 7.89), and the correct answer is given by option b.
Ali wants to attend more group exercise classes at his gym. This week, he plans to attend 1 cardio class and 5 weightlifting classes, which will last a total of 237 minutes. Next week, he hopes to attend 5 cardio classes and 5 weightlifting classes, which will last a total of 465 minutes.
a) Write a system of equations that represents the above situation.
b) Use the elimination method to show the length of the cardio class and the length of the weightlifting class.
Answers
Answer:
x + 5y = 237
5x + 5y = 465
Step-by-step explanation:
Let
x = length of cardio class
y = length of weightlifting class
x + 5y = 237 (1)
5x + 5y = 465 (2)
Using elimination method
Subtract (1) from (2) to eliminate y
5x - x = 465 - 237
4x = 228
x = 228/4
x = 57 minutes
Substitute x = 57 into (1)
x + 5y = 237 (1)
57 + 5y = 237
5y = 237 - 57
5y = 180
y = 180/5
y = 36 minutes
x = length of cardio class = 57 minutes
y = length of weightlifting class = 36 minutes
identify the 3D shape
Answers
Answer and Step-by-step explanation:
The 3D shape shown is a rectangle. This is the net-form of a rectangle.
#teamtrees #PAW (Plant And Water)
Answer:
rectangular prism
Step-by-step explanation:
a rectangle is not 3d. a rectangle is 2d. the correct answer is a rectangular prism.
Select all that apply.
Which of the following name a line segment in the drawing?
Answers
Answer:
lineAF, CE, EF
Step-by-step explanation:
Because a line does not curve. And AB curves.
Assuming I got the correct question, this is the answer.
So, take this as an advice, and next time u post such questions, give a pick, so we know which question u are talking about
Thank You
Hope u understood
Please mark as brainliest
1, Find the interior angle of a regular polygon with 20 sides. What is the size of exterior angle?
2, Calculate the
(I) exterior angle
(ii) the number of sides of a regular polygon with an interior angle of
(a) 60° (b) 72° (c) 165°
Answers
Answer:
Step-by-step explanation:
1) (20 -2) * 180 = 3240 (sum of the inner angles)
3240 : 20 = 162 degrees
2) (I) 180 - 162 = 18 degrees
(ii)
a = 3 (it is an equilateral triangle)
b = 5 (it is a pentagon)
c = 24
Answer:
1. 180(n-2) gives you the angle sum
devide by n to get the value of one interior angle
n are the number of sides, or corners
180(20-2)/20 = 162° is the interior angle.
the exterior angle is just 360°-162° = 198°
2i) seems to be included in 1), pls clarify if that's not the case.
remember
180(n-2)/n = int.angle
let's do this with (a) 60°
180(n-2)/n = 60
(180n-360)/n = 60 |*n
180n-360 = 60n |-180n
-360 = -120n |/(-120)
3 = n
2iia) 3 sides / triangle
2iib) 5 sides / pentagon
2iic) 24 sides
A certain game consists of rolling a single fair die and pays off as follows: $10 for a 6, $7 for a 5, $4 for a 4, and no payoff otherwise,
Find the expected winnings for this game.
The expected winnings for this game are
(Round to the nearest hundredth.)
1
m
21
m
se
?
Enter your answer in the answer box.
Answers
Answer:
$3.50
Step-by-step explanation:
Given:
$10 for a 6, $7 for a 5, $4 for a 4, and no payoff otherwise
P(6) = 1/6 ; p(5) = 1/6 ; p(4) = 1/6 ; p(1,2or3) = 3/6 = 1/2
P(x) ____ 1/6 _____ 1/6 _____1/6 _____1/2
x______ 10 _______ 7 _____ 4 _______ 0
Expectwd value ; E(x)
Σx*p(x) = (1/6 * 10) + (1/6 * 7) + (1/6 * 4) + (1/2 * 0)
E(x) = 3.50
The width of a rectangle is 2 less than twice its length. If the area of the rectangle is 72 cm, what is the
length of the diagonal?
The length of the diagonal is
cm.
Give your answer to 2 decimal places.
Answers
Answer:
Step-by-step explanation:
W=2L-2
A=72
LW=72
L(2L-2) = 72
2L^2 -2L= 72
2L^2 -2L-72=0
L^2 - L -36 = 0
L= -5.52 or 6.52(neg # not a solution)
W=11.04
L=6.52
DIAG = [tex]\sqrt{11.04^2+6.52^2}[/tex] = 12.82
~~~~~~~~~~~~~~
Question 31 of 50
An electrician charges (1) an initial fee of $20 and then $30 per hour. Which linear equation represents this if (h) represents hours?
f = 20h + 30
f=30h + 20
f = 50h
Answers
Answer:
ok so if it is 30 dollars per hour so 30h plus 20 so
f=30h+20
Hope This Helps!!!
If you help me I’ll mark brainliest
Answers
Answer:
∠2=92°
Step-by-step explanation:
Using an angle formula, -8x+144=2x+74
Simplification:
-8x+144=2x+74
-8x+70=2x
70=10x
x=7
Therefore, each angle is 88°
Now, because ∠2 is adjacent to one of 88°, they add up to 180°
Therefore,
180°=88°+∠2
∠2=92°
plz answer this very important
Answers
Answer:
16
Step-by-step explanation:
From the question given above, the following data were obtained:
1 = 1
2 = 4
3 = 9
4 =?
Observing the data, we can see that the numbers on the right side are simple the squares of the numbers on the left side. This is illustrated below:
1 = 1² = 1
2 = 2² = 4
3 = 3² = 9
Thus, we shall use the same logic to obtain that of 4. This is illustrated below:
4 = 4² = 16
Thus the answer to the question is 16.
What is the sum of 1/4 and 1/2?
Answers
Answer:
Thw sum of 1/4 and 1/2 is 3/4
Step-by-step explanation:
You have to put them in common like terms so
1/4 + 1/2 = ?
1/4 + 2/4 = 3/4
1/4 + 1/2
(1 + 1*2)/4
3/4
I hope it's help you...
Mark me as brainliest...
State the x- and y-intercepts.
1. y-intercept?
2. x-intercepts?
3. Is this parabola positive or negative?
Answers
1. Y-Intercepts are where the graph crosses the y-axis. For a parabola, this occurs once, at (0, -3) in the graph shown.
2. X-Intercepts are where the graph crosses the x-axis. For a parabola, this occurs twice, at (-1, 0) and (3, 0) in the graph shown.
3. A parabola that is positive opens upwards, while a parabola that is negative opens downwards. Therefore, this parabola is positive.
Hope this helps!! :)
CAN YOU SOLVE THIS MATH PROBLEM 20 POINTS
Answers
Since the angles of a rectangle are right angles (90 degrees) you would set it up as 90=5x-20. Then combine like terms and solve the equation. (If you need me to show you how step by step tell me)
Hello, could you help me understand how to solve this question. Thank you. Also could you explain what does "How does this ratio compare to the scale factor?"
Answers
Answer:
Step-by-step explanation:
I think the quotient of the ratio is the scale factor.
C'A' / CA = 8/4 = 2
So since the scale factor is 2 it means that the triangle on the right has dimensions that are twice those of the triangle on the left.
If you need more, let me know.
If F(x)= 3x-2 and G(x)= x^2+8, what is G(F(x))?
Answers
Answer:
(3x-2)^2+8= 9x^2-12x+12
I WILL MAKE YOUR ANSWER THE BRAINLIST MAKE SURE YOU ARE RIGHT
FIND THE VOLUME OF THE CONE
Answers
Answer:
301.59
Step-by-step explanation:
V=1/3hπr²
sorry in advance if its wrong, this is my 1st time answering this type of question. that's what i got for the answer
Tony wants to save 10,000 in 6 years. Assuming interest rate what is the minimum he must save month to goal?
Answers
Answer:
Tony wants to save $10000 in 6 years. which is approx $123. Hence final answer is C) $123.
Answer:
c
Step-by-step explanation:
We have been given that Tony wants to save $10000 in 6 years.
That means future value S = $10000
Time t= 6 years
Interest rate = 4% yearly = 0.04 yearly
n=12 months per year
Now we have to find monthly payment to recieve $10000 in 6 years. so we need to apply monthly payment formula which is
which is approx $123.
Hence final answer is C) $123.
2,45,250 students appeared for an entrance examination. If 94,750 students did not get admission, find how many students got admission.
can i please get the answer
Answers
Answer:
2.45.250- 94.750
= 92. 2975. this is the learners who got the admission
Answer:
1,50,500 students
Step-by-step explanation:
Hope this helps... vote as brainliest
Let m Z1=(3x)º, m 22=(5x-7)", m 23=(4x+15), and m ZAFD=128º. Find m44 and m ZBFD.
Answers
Answer:
m<4 = 52°
m<BFD = 98°
Step-by-step explanation:
m<1 = (3x)°
m<2 = (5x - 7)°
m<3 = (4x + 15)°
m<AFD = 128°
✔️Find m<4:
m<4 = 180° - m<AFD (angles on a straight line)
Substitute
m<4 = 180° - 128°
m<4 = 52°
✔️m<BFD = m<2 + m<3
Substitute
m<BFD = (5x - 7)° + (4x + 15)°
We need to find the value of x.
Create an equation to find x.
m<1 + m<2 + m<3 = m<AFD (angle addition postulate)
Substitute
3x + 5x - 7 + 4x + 15 = 128°
Add like terms and solve for x
12x + 8 = 128
12x + 8 - 8 = 128 - 8
12x = 120
12x/12 = 120/12
x = 10
m<BFD = (5x - 7)° + (4x + 15)°
Plug in the value of x
m<BFD = 5(10) - 7 + 4(10) + 15
m<BFD = 50 - 7 + 40 + 15
m<BFD = 98°
Need help finding the factor of 2y^2-2y-4
Answers
Answer:
hope it helps you............
Answer:
2(y - 2)(y + 1)
Step-by-step explanation:
Given
2y² - 2y - 4 ← factor out 2 from each term
= 2(y² - y - 2) ← factor the quadratic
Consider the factors of the constant term (- 2) which sum to give the coefficient of the y- term (- 1)
The factors are - 2 and + 1, since
- 2 × 1 = - 2 and - 2 + 1 = - 1 , then
y² - y - 2 = (y - 2)(y + 1)
Then
2y² - 2y - 4 = 2(y - 2)(y + 1) ← in factored form
Translate the phrase into an algebraic expression.
3 more than b
Answers
Answer:
b+3 or 3+b
Step-by-step explanation:
What is the standard form of y - 8 = 2(x + 3)
Answers
Answer:
y=2x+14
Step-by-step explanation:
y=2x+2.3+8=2x+14
Calcular la Media Aritmética, la Mediana, la Moda y el Rango de los siguientes conjuntos de datos, anotando todas las operaciones que sean necesarias:
c) 45, 78, 78, 98, 46, 67, 78, 55, 47, 89
d) 8, 78, 52, 567, 345, 52, 17, 57, 589, 80, 89
e) 7, 8, 9, 5, 7, 3, 7, 9, 4, 3, 7, 6
f) 15, 17, 18, 11, 15, 16, 13, 15, 17, 18, 15, 13, 12, 17, 15, 15, 16
ayudaaaaaaaaaaaaaaaa
Answers
Answer:
(c) La media aritmética: 68.1
La mediana: 72.5
La moda: 78
La rango: 45 - 98
(d) La media aritmética: 175.81818181818 (175.8)
La mediana: 78
La moda: 52
La rango: 8 - 589
(e) La media aritmética: 6.25
La mediana: 7
La moda: 7
La rango: 3 - 9
(f) La media aritmética: 15.176470588235 (15.2)
La mediana: 15
La moda: 15
La rango: 11 - 18
Step-by-step explanation:
¡Espero que esto haya ayudado!
Stevens College plans to have 20 computers for every 100 students. How many computers are needed for 1,500 students?
Answers
Answer:
300 computers
Step-by-step explanation:
So I divided 1500 out of a 100 and got 15, then I multiply 15 to 20 and got 300.
(I am a high schooler so I hope this is 3rd grade math because I notice you are a college student and I hope this not some college tricky math, if you get this wrong I am truly sorry)
the polynomial whoes zeroes are 5 and 4 is
Answers
Answer:
If -5 and 4 are the zeroes of the polynomial, Then , (X+5) and (X-4) are the factors of the polynomial. This is the required polynomial.
Hope this answer is right!!
Helen is taking part in a quiz on tv. The Probability she answers the questions correctly is 4/5. Helen is asked two questions. Calculate the probability she answered both questions correctly
Answers
Answer:
16/25
Step-by-step explanation:
To find the probability that she gets both questions right, multiply the probabilities together:
4/5 x 4/5
= 16/25
So, the probability that she answers both correctly is 16/25
A patient needs 0.5L of ½ NS over 120 minutes. What is the flow rate in mL/hr?
Answers
Answer:
250mL/1hr
Step-by-step explanation:
0.5L over 120 minutes
0.25L over 60 minutes
250mL over 60 minutes
Find the value for the side marked below.
Round your answer to the nearest tenth.
47
у
74°
y = [?]
Answers
Answer:
y ≈ 13.5
Step-by-step explanation:
In the given right triangle we have to find the measure of unknown side 'y'.
Since, measure of opposite side and adjacent side of the angle measuring 74° have been given,
We will use tangent ratio for the given angle.
tan(74°) = [tex]\frac{\text{Measure of opposite side}}{\text{Measure of adjacent side}}[/tex]
tan(74°) = [tex]\frac{47}{y}[/tex]
y = [tex]\frac{47}{\text{tan}(74^{\circ})}[/tex]
y = 13.48
y ≈ 13.5 units
Find the oth term of the geometric sequence 9, -18,36,...
Pls helpllllll
Answers
Step-by-step explanation:
oth term ? please check.
(I WILL MARK BRAINIEST, PLEASE HELP WITH THIS!!!!)
Every week, Katia’s parents randomly decide whether she, her sister Tracy, or her brother Adan takes out the trash. Katia wants to use a fair number cube labeled 1 through 6 to simulate the results of the next 5 weeks.
Select all of the possible ways of assigning the numbers that are fair.
A)The number 1 represents Katia, 2 represents Tracy, and 3 represents Adan.
B) The odd numbers represent Katia, and the even numbers represent her other siblings.
C) The numbers 1 and 2 represent Katia, 3 and 4 represent Tracy, and 5 and 6 represent Adan.
D) The numbers 1 and 3 represent Katia, 2 and 5 represent Tracy, and 3 and 6 represent Adan.
E) The numbers 1 and 6 represent Katia, 2 and 5 represent Tracy, and 3 and 4 represent Adan.
Answers
Answer:
c and e
Step-by-step explanation:
they each need to have 2 seperate numbers c and e do that!