How is the graph of
y=-3(5)*-
- 3 translated from the graph of y=
=30594?
A. reflected across the y-axis and 3 units down
B. reflected across the x-axis and 3 units down
C. reflected across the x-axis and 3 units left
D. reflected across the y-axis and 3 units right
Answers
Answer:
Purplemath
Introduces reflections in the x- and y-axes. ... To see how this works, take a look at the graph of h(x) = x2 + 2x – 3. ... The previous reflection was a reflection in the x-axis. ... f (x – b) shifts the function b units to the right.
Related Questions
The amount of tax on a chair was $3.60. The tax rate was 5%. Find the original price of the chair.
Bianca solved the problem below. Find Bianca’s error.
0.05(3.60) = Original price
The original price is $0.18.
Answers
9514 1404 393
Answer:
$72.00
Step-by-step explanation:
The relationship between price and tax is ...
tax amount = (tax rate) × (price)
Then the price can be found by dividing by the tax rate:
price = (tax amount)/(tax rate)
price = $3.60 / 0.05 = $72.00
The original price of the chair was $72.00.
__
Bianca apparently did not pay any attention to the way tax is computed. Nor did she check her work. The original price is not a small fraction of the tax. It is the other way around. Bianca used a wrong relationship between tax and price.
Annual entertainment expenses in a population of 100 families have a mean of $2040 and a standard deviation of $360.
(a) Find the mean and standard deviation of monthly expenses.
(b) What is the total amount of monthly entertainment expenses for this population?
Answers
Answer:
The correct answer is:
(a) Mean = 170,
Standard deviation = 30
(b) 1700
Step-by-step explanation:
Given:
n = 100μ = 2040σ = 360(a)
Mean of monthly expenses will be:
= [tex]\frac{\mu}{2}[/tex]
= [tex]\frac{2040}{2}[/tex]
= [tex]170[/tex]
Standard deviation will be:
= [tex]\frac{\sigma}{12}[/tex]
= [tex]\frac{360}{12}[/tex]
= [tex]30[/tex]
(b)
The total amount of monthly expenses will be:
= [tex]n\times \frac{\mu}{12}[/tex]
= [tex]100\times 170[/tex]
= [tex]1700[/tex]
The following data set represents the ages of all 6 of Nancy's grandchildren.
11, 8, 5, 6, 3,9
To determine the "spread" of the data, would you employ calculations for the sample standard deviation, or population
standard deviation for this data set?
Answers
Answer:
Use calculation for the population standard deviation
Step-by-step explanation:
We are given that the data data set represents the ages of all 6 of Nancy's grandchildren
11,8,5,6,3,9
We have to determine which standard deviation would used for calculation of the given data set.
Sample standard deviation :If the data values represent the data collected from subset of population .Then the sample standard deviation should be used.
Population standard deviation:
If the data values represents the data collected from entire population, then population standard deviation should be used.
We can see that the given data collected from entire population.
Therefore, we would use calculation for population standard deviation of given data set.
an oil tank, which is a shape of a cylinder, is 3m high and has a diameter of 6m. the oil tank is two-thirds full. find the number of cubic meters of oil in the tank. use 3.14 for pi
Answers
Answer:
Step-by-step explanation:
The key is to find out the entire volume the tank can hold when it is full, then take 2/3 of that amount. The volume of a cylinder is
[tex]V=\pi r^2h[/tex] and filling in:
[tex]V=3.14(3)^2(3)[/tex] (if the diameter is 6 m, the radius is 3) so
V = 84.78 m³ when it is full all the way. If we need the amount that makes up 2/3 of that:
[tex]\frac{2}{3}(84.78)=56.52m^3[/tex]
The weights of certain machine components are normally distributed with a mean of 5.19 ounces and a standard deviation of 0.05 ounces. Find the two weights that separate the top 8% and the bottom 8%. These weights could serve as limits used to identify which components should be rejected
Answers
Answer:
The weight that separate the top 8% by 5.2605 and the weight that separate bottom 8% by 5.1195.
Step-by-step explanation:
We are given that
Mean,[tex]\mu=5.19[/tex]
Standard deviation,[tex]\sigma=0.05[/tex]
We have to find the two weights that separate the top 8% and the bottom 8%.
Let x1 and x2 the two weights that separate the top 8% and the bottom 8%.
Z-value for p-value =0.08 =[tex]-1.41[/tex]
For 8% bottom
[tex]Z=\frac{x_1-\mu}{\sigma}=-1.41[/tex]
[tex]\frac{x_1-5.19}{0.05}=-1.41[/tex]
[tex]x_1-5.19=-1.41\times 0.05[/tex]
[tex]x_1=-1.41\times 0.05+5.19[/tex]
[tex]x_1=5.1195[/tex]
For 8% top
p-Value=1-0.08=0.92
Z- value=1.41
Now,
[tex]\frac{x_2-5.19}{0.05}=1.41[/tex]
[tex]x_2-5.19=1.41\times 0.05[/tex]
[tex]x_2=1.41\times 0.05+5.19[/tex]
[tex]x_2=5.2605[/tex]
(x1,x2)=(5.1195,5.2605)
A storage box with a square base must have a volume of 80 cubic centimeters. The top and bottom cost $0.20 per square centimeter and the sides cost $0.10 per square centimeter. Find the dimensions that will minimize cost. (Let x represent the length of the sides of the square base and let y represent the height. Round your answers to two decimal places.) x
Answers
Answer:
Box dimensions:
x = 3.42 cm
y = 6.84 cm
C(min) = 14.04 $
Step-by-step explanation:
We need the surface area of the cube:
S(c) = 2*S₁ ( surface area of top or base) + 4*S₂ ( surface lateral area)
S₁ = x² 2*S₁ = 2*x²
Surface lateral area is:
4*S₂ = 4*x*h V(c) = 80 cm³ = x²*h h = 80/x²
4*S₂ = 4*80/x
4*S₂ = 320 / x
Costs
C (x) = 0.2* 2*x² + 0.1 * 320/x
Taking derivatives on both sides of the equation we get:
C´(x) = 0.8*x - 32/x²
C´(x) = 0 0.8*x - 32/x² = 0
0.8*x³ - 32 = 0 x³ = 32/0.8
x³ = 40
x = 3.42 cm
h = 80/(3.42)² h = 6.84 cm
To find out if x = 3.42 brings a minimum value for C we go to the second derivative
C´´(x) = 64/x³ is always positive for x > 0
The C(min) = 0.4*(3.42)² + 32/(3.42)
C(min) = 4.68 + 9.36
C(min) = 14.04 $
Simplify 6/x^2−2x/x^2+3.
Answers
Answer:
3x2−2x+6/x2
Step-by-step explanation:
have a great day <33333
SOMEONE PLEASE HELP ASAP IM IN A TEXT NO EXPLANAION NEEDED JUST THE FUNCTION!!THANK YOU SO MUCH :)
Answers
Answer:
[tex]\frac{-1}{4} x^{2}[/tex]
[tex]\frac{-1}{4} g(x)[/tex]
Step-by-step explanation:
A binomial experiment consists of 11 trials. The probability of success on trial 4 is 0.41. What is the probability of success on trial 8?A. 0.71B. 0.41C. 0.39D. 0.84E. 0.14
Answers
Answer:
B. 0.41
Step-by-step explanation:
Binomial experiment:
In a binomial experiment, the probability of the success on each trial is always the same.
The probability of success on trial 4 is 0.41.
This means that the probability of success on trial 8, and all the other 10 trials, is of 0.41, and thus the correct answer is given by option B.
) Out of 28 people, 12 adults attended a play. What is the ratio of children to attendees
Answers
Answer:
I think the answer is 12:16 because my brother told me
Step-by-step explanation:
I dont know the answer my brother told me this answer. HOPE THIS HELPS
19. Divide 6/13 by 6/12.
A. 12/13
B. 13/12
c. 1/12
D.9/16
Answers
Answer:
12/13 is the answer
Step-by-step explanation:
The number of hurricanes that will hit a certain house in the next ten years is Poisson distributed with mean 4. Each hurricane results in a loss that is exponentially distributed with mean 1000. Losses are mutually independent and independent of the number of hurricanes. Calculate
Answers
Answer:
The variance of total loss is 8000000
Step-by-step explanation:
Let
[tex]X \to[/tex] Number of hurricane
Poisson [tex]E(X) = 4[/tex]
[tex]Y \to[/tex] Loss in each hurricane
Exponential [tex]E(Y) = 1000[/tex]
[tex]T \to[/tex] Total Loss
Required
The variance of the total loss
This is calculated as:
[tex]Var(T) = Var(E(T|X)) + E(Var(T|X))[/tex]
Where:
[tex]E(T|X) \to[/tex] Expected total loss given X hurricanes
And it is calculated as:
[tex]E(T|X) = E(Y) *N[/tex] --- Expected Loss in each hurricane * number of loss
[tex]Var(T|X) \to[/tex] Variance of total loss given X hurricanes
And it is calculated as:
[tex]Var(T|X) = Var(Y) * N[/tex] ---- --- Variance of loss in each hurricane * number of loss
So, we have:
[tex]Var(T) = Var(E(T|X)) + E(Var(T|X))[/tex]
[tex]Var(T) = Var(E(Y) * N) + E(Var(Y) * N)[/tex]
For exponential distribution;
[tex]Var(Y) = E(Y)^2[/tex]
So, we have:
[tex]Var(T) = Var(E(Y) * X) + E(E(Y)^2 * X)[/tex]
Substitute values
[tex]Var(T) = Var(1000 * X) + E(1000^2 * X)[/tex]
Simplify:
[tex]Var(T) = Var(1000 * X) + 1000^2E(X)[/tex]
Using variance formula, we have:
[tex]Var(T) = 1000^2Var(X) + 1000^2E(X)[/tex]
For poission distribution:
[tex]Var(X) = E(X)[/tex]
So, we have:
[tex]Var(X) = E(X) = 4[/tex]
The expression becomes:
[tex]Var(T) = 1000^2*4 + 1000^2*4[/tex]
[tex]Var(T) = 1000000*4 + 1000000*4[/tex]
[tex]Var(T) = 4000000 + 4000000[/tex]
[tex]Var(T) = 8000000[/tex]
What is the effect of X on Y?
Answers
Answer:
GMM,pooled OLC,even cross country OLC are most variables not difficult panel data analysis
Which expression has a value of 15 when it equals
2
49-57
3--5
61-28
28
19
Answers
Answer:
it is 61-28 but I not sure u can scan for any application to make sure u get it ur answer thx for
Barnaby decided to count the number of ducks and geese flying south for the winter. On the first day he counted 175 ducks and 63 geese. By the end of migration, Barnaby had counted 4,725 geese. If the ratio of ducks to geese remained the same (175 to 63), how many ducks did he count?
Answers
Answer:
13,125 ducks
Step-by-step explanation:
The ratio of ducks:geese on the first day was:
175:63
On the last day (end of migration), he counted 4,725 geese.
To find the number of ducks using the same ratio, we are first going to divide 4,725 by 63 to find what number all the ducks and geese multiplied by:
4,725/63 = 75
The geese multiplied by 75. This means the ducks also multiplied by 75:
175*75 = 13,125
Barnaby counted 13,125 ducks.
Hope it helps (●'◡'●)
74. A portion of a board has length x feet. The other part has
length (7x – 9) feet. Express the total length of the board
as a simplified expression in x.
Answers
Step-by-step explanation:
Given that,
Length of the one portion of the board = x feetLength of the another portion = (7x – 9) feetAccording to the question,
[tex]\longrightarrow[/tex] Total length = Sum of the length of the two pieces
[tex]\longrightarrow[/tex] Total length = {x + (7x – 9)} feet
[tex]\longrightarrow[/tex] Total length = {x + 7x – 9} feet
[tex]\longrightarrow[/tex] Total length = (8x – 9) feet
Therefore, the total length of the board as a simplified expression in x is (8x – 9) feet.
(x-5)(X+12)=-70
[tex](x - 5)(x + 12) = - 70[/tex]
Answers
Answer:
[tex]x = - 2[/tex]
[tex]x = - 5[/tex]
Step-by-step explanation:
Give
[tex](x - 5)(x + 12)[/tex]
Apply FOIL Method
[tex]x {}^{2} + 7x - 60 = - 70[/tex]
Add 70 on both sides
[tex] {x}^{2} + 7x + 10[/tex]
Factor
[tex](x + 2)(x + 5)[/tex]
So our roots are
x=-2
x=-5
Answer:
dtet
Step-by-step explanation:
dgbyn
Please help me out here.
Answers
Answer:
19.634954085
Step-by-step explanation:
Pipe Diameter = Height of the trench
Pipe Height = Width of the trench
V = Pi*r^2*L/ Pi*r^2*h
= 22/7 x (2.5/2)^2 x 4
= 19.634954085
Simplify this algebraic expression.
y-3/3 +12
O A. y-11
O B. y + 13
O c. y-5
O D. y+ 11
Answers
Answer:
D
Step-by-step explanation:
[tex]y - \frac{3}{3} + 12[/tex]
[tex]y - 1 + 12[/tex]
[tex]y + 11[/tex]
In 1980, the average cost of a pack of cigarettes was $0.88. In 2000, the average cost was $5.31 per pack.
What is the average rate of change of the cost of a pack of cigarettes? What is another name for the average rate of change?
Round your answer to the nearest cent.
Answers
Answer:
The average rate of change of the cost of a pack is 22 cents per year.
Another name for the average rate of change is slope.
Step-by-step explanation:
The average rate of change of the cost of a pack ([tex]r[/tex]), in monetary units per year, is equal to the change in the average cost of a pack ([tex]\Delta c[/tex]), in monetary units, divided by the change in time ([tex]\Delta t[/tex]), in years. Then, the average rate of change is:
[tex]r = \frac{\$\,5.31-\$\,0.88}{2000-1980}[/tex]
[tex]r = \$\,0.22\,\frac{1}{yr}[/tex]
The average rate of change of the cost of a pack is 22 cents per year.
Another name for the average rate of change is slope.
I’ll mark u plz help
Answers
Answer:
D is the answer
Step-by-step explanation:
all sides and angles are equal
hope it helps!! let me know if it does
Divide the following complex numbers:
[tex](2 + i) \div (1 - 4i)[/tex]
Answers
Answer:
[tex]-\dfrac{2}{17} + \dfrac{9}{17}i[/tex]
Step-by-step explanation:
[tex] (2 + i) \div (1 - 4i) = [/tex]
[tex] = \dfrac{2 + i}{1 - 4i} [/tex]
[tex] = \dfrac{2 + i}{1 - 4i} \times \dfrac{1 + 4i}{1 + 4i} [/tex]
[tex] = \dfrac{(2 + i)(1 + 4i)}{(1 - 4i)(1 + 4i)} [/tex]
[tex] = \dfrac{2 + 8i + i + 4i^2}{1 + 16} [/tex]
[tex] = \dfrac{2 + 9i - 4}{17} [/tex]
[tex] = \dfrac{-2 + 9i}{17} [/tex]
[tex]= -\dfrac{2}{17} + \dfrac{9}{17}i[/tex]
What is net cash flow
Answers
Match the pairs of equivalent exMatch the pairs of equivalent expressions.
pressions.
Answers
Answer:
Give us the picture or numbers please.
Step-by-step explanation:
Answer: add pic pls
Step-by-step explanation:
find the unknown value
no link
Answers
Answer:
x = 120°y = 75°z = 45°Step-by-step explanation:
Refer to the attachment for the steps.
in a standard deck of 52 cards what is the probability of drawing 2 jacks
Answers
Answer:
1/169
Step-by-step explanation:
There are 4 jacks in a deck of cards.
So 4/52 is the probability of drawing 1 card
The probability of drawing 2 jacks is 4/52*4/52
Solve, and that is 1/169
I hope this helps!
I need help answering this question.
Answers
Answer:
6x
Step-by-step explanation:
If x is the length of one side, and each side is the same length, you will multiply it by 6 times (there are 6 sides in a hexagon).
So, you will add it up 6 times, but you can say 6x for short.
f(x)=3x+2 what is f(5)
Answers
Answer:
17
Step-by-step explanation:
Substitute.
f(x)=3(5)+2
=15+2
=17
I hope this helps!
Step-by-step explanation:
if the equation if f(x) = 3x + 2, then f(5) would be equal to 3*5 + 2 = 17.
Change 84cm into millimetres
Answers
Answer:
840 mm
Step-by-step explanation:
multiply by 10
Answer:
840 millimetres
Step-by-step explanation:
To convert cm to mm, multiply the value in cm by 10
84cm x 10 = 840 mm
Hope this helps! <3
In a computer instant messaging survey, respondents were asked to choose the most fun way to flirt, and it found that P(D)=0.740, where D is directly in person. If someone is randomly selected, what does PD represent, and what is its value? What does PD represent?
Answers
Answer:
0.260
Step-by-step explanation:
According to the Question,
Given that, In a computer instant messaging survey, respondents were asked to choose the most fun way to flirt.And, it found that P(D)=0.740, where D is directly in person.
If someone is randomly selected, PD represents Upper P left parenthesis & Upper D represents overbar right parenthesis .⇒P(D) is the probability flirting of directly in person.
⇒P( D ) represents the probability of flirting other than in person.
P(D)=0.740 & P( D )=1 - P(D)
P( D ) = 1 - 0.740.
P( D ) = 0.260
Hence the value of Upper P left parenthesis Upper D overbar right parenthesis is 0.260.