Answer:
225
Step-by-step explanation:
Answer:
The answer is 225
Crystal has 25 lollipops. Angie has 12 more lollipops than Crystal.
How many lollipops do the girls have all together?
Answer:
Both the girls have 62 lollipops
Step-by-step explanation:
25+25=50
50+12=62
Answer:
62 lollipops
Step-by-step explanation:
If Angie has 12 more lollipops than Crystal...
25 + 12 = 37 lollipops
Angie has 37 lollipops and Crystal has 25 lollipops. In total, that is...
37 + 25 = 62 lollipops
arrange the following list of functions in increasing order of growth rate. that is, if function g(n) follows function f (n), then it should be the case that f (n) is o(g(n)) (the base of logarithms is 2). justify in simple words. (you do not have to show detailed calculations.)
The correct order of functions, in increasing order of growth rate, is g1, g4, g3, g5, g2, g7, and g6.
What is functions?A mathematical expression, rule, or law that establishes the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics, functions are everywhere, and they are crucial for constructing physical relationships in the sciences. A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.
Here,
The list of function is attached in image.
g1, g4, g3, g5, g2, g7, g6 is the correct sequence of functions in increasing order of growth rate.
To know more about functions,
https://brainly.com/question/28278699
#SPJ4
Polygon ABCD with vertices at A(−4, 6), B(−2, 2), C(4, −2), and D(4, 4) is dilated using a scale factor of three fifths to create polygon A′B′C′D′. If the dilation is centered at the origin, determine the vertices of polygon A′B′C′D′.
A′(5.8, −3), B′(1.6, −1.5), C′(−1.6, 3), D′(2.5, 3)
A′(−12, 18), B′(−6, 6), C′(12, −6), D′(12, 12)
A′(2.4, −3.6), B′(1.2, −1.2), C′(−2.4, 1.26), D′(−2.4, −2.4)
A′(−2.4, 3.6), B′(−1.2, 1.2), C′(2.4, −1.2), D′(2.4, 2.4)
If the dilation is centered at the origin, determine the vertices of polygon A′B′C′D′ are: D. A′(−2.4, 3.6), B′(−1.2, 1.2), C′(2.4, −1.2), D′(2.4, 2.4).
What is dilation?In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.
Next, we would have to dilate the coordinates of the preimage by using a scale factor of 3/5 centered at the origin as follows:
Ordered pair A (-4, 6) → Ordered pair A' (-4 × 3/5, 6 × 3/5) = Ordered pair A' (-2.4, 3.6).
Ordered pair B (-2, 2) → Ordered pair B' (-2 × 3/5, 2 × 3/5) = Ordered pair B' (-1.2, 1.2).
Ordered pair C (4, -2) → Ordered pair C' (4 × 3/5, -2 × 3/5) = Ordered pair C' (2.4, -1.2).
Ordered pair D (4, 4) → Ordered pair D' (4 × 3/5, 4 × 3/5) = Ordered pair D' (2.4, 2.4).
Read more on dilation here: https://brainly.com/question/11812796
#SPJ1
If 18% of a $3,200.80 monthly net income is allotted for clothing, how much money is allotted for clothing in one year?
Answer:
Step-by-step explanation:
18% of $3200.80 = $576.144.
$576.144 is for one month. So, for a year is 12 * $576.144 = $6913.728.
y= 4/3 x-1 graph the line the top to right is 10 8 6 4 2 and at the left to bottom is -10 -8 -6 -4 -2
the graph of this equation is:
Let us make part of the table corresponding to this graph
When solving a multi-step equation, which number do you "undo" first? Choose ONE answer.
A. The number on the opposite side of the equals side from the variable
B. The number furthest from the variable (but on the same side of the equals sign)
C. order doesnt matter - choose which you want to do first
D. the number touching the variable
Answer:
C. Order doesnt matter - choose which you want to do first
Step-by-step explanation:
When solving multi step equations, there are different steps that can be followed depending on the nature of the equation. There could be variables on only one side or both sides of the equation and that can affect the order of operations. Thus, there is no standard order.
For example let's consider the equation;
7y + 6 = 2y + 16
Now,we can see there are variables on both sides, so the first step would be either to take the constants to one side first or to take the unknown variables to one side.
Whereas, in another example say;
5x - 3 = 7
The only option here is to take the constant on the left side to the right side.
There are other examples where we may have to carry out a division of all terms as the first step. In some other cases, there may be brackets, we need to get rid of as the first step.
Thus, there is no standard order and as such we choose which order we want to use based on the nature of the equation.
PLEASE HELP 10 PTS!!!!!!! :)
What is the volume of a square pyramid with a base length of 6 cm and a height of 9cm?
Answer:
108 cm³
Step-by-step explanation:
Convert the decimal 0.4375" to a fraction.
Answer:
7/16
Step-by-step explanation:
0.4375 = 4375/10000 then simplify
7/16
Step-by-step explanation:
hooooooooooppppppppppeeeee this helps
Find the distance between the point (5,12) and the line y = 5x + 12 (rounded to the nearest hundredth).
A. 1.36 units
B. 2.19 units
C. 4.81 units
D. 4.90 units
The distance between the point (5,12) and the line y = 5x + 12 is 4.90 units
How to find the distance between a point and a line?
If a point P with the coordinates (x₁, y₁), and we need to know its distance from the line represented by ax + by + c = 0
Then the distance of a point from the line is given by the formula:
d = (ax₁ + by₁ + c) / √(a² + b²)
Given: the point (5,12) and the line y = 5x + 12. The line can be written as
5x-y+12 = 0. Thus:
x₁ = 5, y₁ = 12, a = 5, b = -1, c = 12. Substitute these into the formula:
d = (ax₁ + by₁ + c) / √(a² + b²)
d = (5×5 + (-1×12) + 12) / √(5² + (-1)²)
d = 25/√26 = 4.90 units
Therefore, the distance between the point and the line is 4.90 units. Option D is the answer
Learn more about distance between a point and a line on:
https://brainly.com/question/18276750
#SPJ1
Karla grows vegetables and collected 32 1/2 lbs of produce to give to her friends. She gave her best friend 8 1/4. How much produce, in pounds, does Karla have left, PLEASE NEED HELP ASP
Answer:
24 1/4 lbs
Step-by-step explanation:
She starts off with 32 1/2 lbs.
She then gives 8 1/4 to her friend.
To find how much she has left, we subtract 8 1/4 from 32 1/2.
To make this easier, lets make them both have a common denominator:
32 2/4 - 8 1/4 = 24 1/4
I hope this helped, please mark Brainliest, thank you so much!
Jacqueline’s girl scout troop is selling cookies. This year the cost of getting 4 boxes is $18. This is 12.5% more than the price of 4 boxes last year.
What was the cost of 4 boxes last year?
What was the cost of EACH box last year?
Answer:
15.75
Step-by-step explanation:
Amanda plans to have 20 friends over to Watch NCAA Basketball on Saturday. She plans to serve pizza, wings, soda, and brownies. Each person eats 3 pieces of pizza, 16 ounces of soda, and 1 brownie. Each pizza has 10 slices. She buys 64 oz. bottles of soda. She bakes brownies in 8” X 12” pan and cuts them into 2” X 3” pieces.
How many pizzas does she need?
How many soda bottles does she need?
How many pans of brownies does she need?
If bottles of soda cost $1.69, pizzas cost $12.99, and brownie mix cost $2.39, write an expression to calculate the cost of Amanda’s NCAA tournament party.
All of the work:
How to solve the amount of pizza she needs:
20 x 3 = 60
60 divided by 10 = 6
How to solve the amount of soda bottled needed:
20 x 16 = 320
320 divided by 64 = 5
How to solve the number of pans she needs:
20(2 x 3) = 40 x 60
40 x 60 divided by 8 x 12 = 5
THE COST CAN BE FOUND BY MULTIPLYING THE NUMBER OF THE ITEM NEEDED AND THE PRICE FOR EACH OF THE ITEM.Number of pizza she needs:6 pizza, costs $77.94
Number of soda bottles she needs:5 bottles, costs $8.45
Number of pans she needs:5 pans, costs $11.95
Add 77.94, 8.45, and 11.95 and get 98.34
50pts!!!!
Many investors use interest-only loans to buy shares or property. For such loans the principal stays constant and only the interest is paid back each month.
She buys an investment property for $300 000 and borrows the full amount at 7% p.a. simple interest. She rents out the property at $1500 per month and pays $3000 per year in rates and other costs to keep the property.
Find the amount of interest she needs to pay back every month.
Find her yearly income from rent.
By considering the other costs in keeping the property, calculate her overall loss in a year.
she hopes that the property’s value will increase enough to cover any loss she is making. By what percentage of the original price will the property need to increase in value per year?
Step-by-step explanation:
to find the interest she needs to pay back every month, we need to use this formula:
I = PRT/12
in this case the principle is $300,000, the rate is 7% p.a. and the amount of time is 1 year, if we substitute in our values we:
I = (300,000)(7)(1)/12 = $17,500 in interest every month
to find her yearly income from rent, we have to multiply the monthly rent by 12
1500 × 12 = $18,000
to calculate her loss percentage in a year, we have to subtract 18,000 from 3000 which is 15,000
she said that she hopes the property's value will increase to cover the loss she made.
to cover the loss of $15000 per year, the property needs to increase in value by at least $15000. the percentage increases value can be written as
Percentage increase = (difference in increase/Original price) × 100
so
percentage increase = (15000/300000) × 100 = 5%
so the property needs to increase in value by at least 5% per year to cover the loss.
The woman needs to pay $1750 monthly as interest. Her yearly income from the rent is $18,000. After considering all other costs, she is at a loss of $6000 per year, so the property needs to increase in value by 2% per year to cover this loss.
Explanation:First, let's calculate the monthly interest she needs to pay. 7% of $300,000 is $21,000 for a year. To find the monthly interest, we divide this by 12, resulting in $1750.Her yearly income from rent is $1500 multiplied by 12, giving us $18,000.To calculate her overall loss, we add the yearly interest and the costs to keep the property, then subtract the yearly rent income. So, $21,000 + $3000 - $18,000 = $6000 loss per year.Lastly, to find out by what percentage the property value needs to increase, we divide the loss by the original price and multiply by 100, giving us 2% increase per year.Learn more about Interest and Profit Calculation here:https://brainly.com/question/32651816
#SPJ2
evaluate 5214 ÷ 39
Answer: \(133\frac{9}{13}\) or \(\frac{1738}{13}\) or 133.7 (any three are correct)
Step-by-step explanation:
Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.
Problem: Evaluate 5214 ÷ 39Step 1: 5214 / 39 = 133 with a remainder of 27.
133 with a remainder of 27
Because 39 is what we will be dividing it by, it will be our denominator.
Step 2: Express as a mixed fraction.
\(133\frac{27}{39}\)
Step 3: Simplify by dividing the denominator/numerator by 3.
\(133\frac{9}{13}\) or \(\frac{1738}{13}\) or 133.7
~I hope I helped you! :)~
ILL GIVE BRAINLIST
Write an equation to represent the function.
Damon joins a video game membership service. The lifetime membership fee is $50. The first video game is free, then any video game purchased after that is $25.
Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the circle is 3 units. The center of the circle lies on the x-axis. The center of the circle lies on the y-axis. The standard form of the equation is (x – 1)² + y² = 3. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
The three (3) statements which are true include the following:
A. The radius of the circle is 3 units.
B. The center of the circle lies on the x-axis.
D. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
What is the equation of a circle?In Mathematics, the standard form of the equation of a circle is represented by this mathematical expression;
(x - h)² + (y - k)² = r² ....equation 1.
Where:
h and k represents the coordinates at the center of a circle.
r represents the radius of a circle.
From the information provided above, we have the following equation of a circle:
x² + y² – 2x – 8 = 0 ......equation 2.
In order to determine the true statements, we would rewrite the equation in standard form and then factorize by using completing the square method:
x² – 2x + y² = 8 = 0
x² – 2x + (2/2)² + y² = 8 + (2/2)²
x² – 2x + 1 + y² = 8 + 1
(x – 1)² + (y - 0)² = 9 .......equation 3.
Comparing equation 1 and equation 3, we have the following:
Center (h, k) = (1, 0)
Radius (r) = 3
Additionally, this line and the center of the given circle lies on the x-axis (x-coordinate) because the y-value is equal to zero (0).
(x – 0)² + (y - 0)² = 3²
x² + y² = 9.
Read more on equation of a circle here: brainly.com/question/17028215
#SPJ1
Solve for h
h – 5 = -30
Make sure to show your work for full points!
Question 7 options:
HELP ME ASAP PLEASE
Answer:
H=-30+5
H=-25
Pls mark as brainliest
f(x)= a(x+p)² +q and g(x)= 0 3 3.1 x + p 1. The turning point of f is (1;4) and the asymptotes of g intersect at the turning point of f. Both graphs cut the y-axic at 3. 3.2 3.3 3.4 a 10 g +94 (1:4) Determine the equation of f Determine the equation of g Determine the coordinates of the x-intercept of g For which values of x will f(x) ≥ g(x)? [9]
Step-by-step explanation:
Let's solve the given questions step by step:
1. Determine the equation of f:
From the given information, we know that the turning point of f is (1, 4). The general form of a quadratic function is f(x) = ax^2 + bx + c. We are given that f(x) = a(x + p)^2 + q, so let's substitute the values:
f(x) = a(x + p)^2 + q
Since the turning point is (1, 4), we can substitute x = 1 and f(x) = 4 into the equation:
4 = a(1 + p)^2 + q
This gives us one equation involving a, p, and q.
2. Determine the equation of g:
The equation of g is given as g(x) = 0.3x + p1.
3. Determine the coordinates of the x-intercept of g:
The x-intercept is the point where the graph of g intersects the x-axis. At this point, the y-coordinate is 0.
Setting g(x) = 0, we can solve for x:
0 = 0.3x + p1
-0.3x = p1
x = -p1/0.3
Therefore, the x-intercept of g is (-p1/0.3, 0).
4. For which values of x will f(x) ≥ g(x)?
To determine the values of x where f(x) is greater than or equal to g(x), we need to compare their expressions.
f(x) = a(x + p)^2 + q
g(x) = 0.3x + p1
We need to find the values of x for which f(x) ≥ g(x):
a(x + p)^2 + q ≥ 0.3x + p1
Simplifying the equation will involve expanding the square and rearranging terms, but since the equation involves variables a, p, and q, we cannot determine the exact values without further information or constraints.
To summarize:
We have determined the equation of f in terms of a, p, and q, and the equation of g in terms of p1. We have also found the coordinates of the x-intercept of g. However, without additional information or constraints, we cannot determine the exact values of a, p, q, or p1, or the values of x for which f(x) ≥ g(x).
The dimensions of a garden in the shape of a right triangle are measured in feet (ft). This diagram shows one dimension, in inches (in.), of a scale drawing of the garden and the scale used to create the drawing.
The length in feet of the longest part of the garden would be = 6ft
What is a garden?A garden is defined as an area that is prepared and set aside for the purpose of growing various flowers, shrubs and grasses.
The area of the given triangle = 54in²
The perimeter of the given triangle = 36 in.
Using the formula for area of a triangle ;
Area = ½ base(b) ×height(h)
where base = 9 in
54 = 1/2 × 9 × h
Make h the subject of formula;
h = 54×2/9
h = 108/9
h = 12
But the perimeter = sum of the whole sides of the triangle
perimeter = 36
side a = 9
side b = 12
side c = X
that is , 36 = 9+12+X
make X the subject of formula;
X = 36-21
X = 15in
Therefore, 15 in when converted to feet;
2 ft = 5 in
X ft = 15 in
xft = 2 × 15/5
X ft = 30/5
X ft = 6ft
Learn more about triangle here:
https://brainly.com/question/28470545
#SPJ1
Coworkers Jan and Richard purchase lunch from food truck. Jan buys 1 beef taco and 2 fruit cups for $5.25. Richard buys 3 beef tacos and 1 fruit cup for $8.25. Find the price of each item (beef taco, fruit cup)
Given:
Jan buys 1 beef taco and 2 fruit cups for $5.25.
Richard buys 3 beef tacos and 1 fruit cup for $8.25.
Required:
We need to find the price of each item beef taco and fruit cup.
Explanation:
Let x be the price of a beef taco.
Let y be the price of a fruit cup.
The cost of 1 beef taco and 2 fruit cups = $ 5.25
\(x+2y=5.25\)Subtract 2y from both sides of the equation.
\(x+2y-2y=5.25-2y\)\(x=5.25-2y\)The cost of 3 beef tacos and 1 fruit cup = $ 8.25
\(3x+y=8.25\)\(Substitute\text{ }x=5.25-2y\text{ in the equation.}\)\(3(5.25-2y)+y=8.25\)\(15.75-6y+y=8.25\)\(15.75-5y=8.25\)Add 5y- 8.25 to both sides of the equation
\(15.75-5y+5y-8.25=8.25+5y-8.25\)\(7.5=5y\)Divide both sides by 5.
\(\frac{7.5}{5}=\frac{5y}{5}\)\(1.5=y\)\(Substitute\text{ }y=1.5\text{ in the equation }x=5.25-2y.\)\(x=5.25-2(1.5)\)\(x=2.25\)Final answer:
The price of a beet taco is $ 2.25.
The price of a fruit cup is $ 1.50.
Can someone help me answer this problem on ixl!!
Answer:
20 blogs
Step-by-step explanation:
Step 1: Determine the proportion of pop culture blogs:
First, we need to determine the proportion of pop culture blogs already written. We can do this by dividing the number of pop culture blogs already written by the total number of blogs written:
The proportion of pop culture bloggers = Number of pop culture bloggers / Total number of bloggers
Proportion = 26 / (20 + 26 + 7 + 12)
Proportion = 26 / 65
Proportion = 0.4
Step 2: Multiply the proportion of pop culture blogs by the number of upcoming blogs:
To determine the expected number of pop culture blogs that will be written given the data, we can multiply the proportion of pop culture blogs already written by the number of upcoming blogs:
Expected number of pop culture blogs = proportion of pop culture blogs * number of upcoming blogs
Expected number = 0.4 * 50
Expected number = 20
Thus, you should expect 20 pop culture blogs to be written given the data.
Find the equation of a line with a slope of 13/2
that passes through the point (−2, — 10).
Answer: \(y=\frac{13}{2} x+3\)
Step-by-step explanation:
Remember the point-slope equation which is \(y-y_{1} = m(x-x_{1} )\) where\((x_{1} , y_{1} )\) is your point and \(m\) is your slope.
Given that we substitute what you have:
\(y-(-10) =\frac{13}{2} (x - (-2))\)
Minus and minus give us positive:
\(y+10 =\frac{13}{2} (x +2)\)
Multiply slope into the parenthesis:
\(y+10= \frac{13}{2}x + \frac{13}{2}*2\\\)
Calculate it:
\(y+10= \frac{13}{2}x +13\)
Isolate the \(y\) by subtracting 10 from both sides:
\(y=\frac{13}{2} x + 13 -10\)
Your final equation is:
\(y=\frac{13}{2} x +3\)
Hope this makes sense!
And here's the graph to prove that the line actually goes through the point \((-2,-10)\):
Does this answer look right or I’m totally wrong please help !!! ASAP
Answer:
its 6 because if u look at 27 to 21 it is minuses by 6 and then 21 to 15 is also 6 and so in and so forth
HELP (THE OPTIONS FOR CHOOSE IS yes no yes no yes no yes no) AND NO PUTTING FAKE ANSWERS OR PUTTING NOT CORRECT ANSWERS LIKE answer:e step by step explanation:e PLEASE NONE OF THAT
Yes, she did buy additional carrot seed. No, the total number of seeds was 1120. No, the total price is $171. She did buy more maize and beans than carrots.
What is multiplication?Multiplication is one of the four basic mathematical operations of arithmetic, along with addition, subtraction, and division. A product is the outcome of a multiplication operation. Multiplication is a way of calculating the product of two or more integers in mathematics. It is one of the most fundamental mathematical operations that we utilize every day. When we multiply two numbers, the result is known as the product. The multiplicand is the number of items in each group, and the multiplier is the number of such equal groupings. In our situation, the multiplicand is, the multiplier is, and the product is 6.
Here,
Beans=12*40
=480
cost of beans=12*5
=$60
Carrot=15*36
=540
cost of carrot=15*7
=$105
Corn=2*50
=100
cost of corn=2*3
=$6
Total seeds=1120
Total cost=$171
Yes she bought more of carrot seed. No the total seeds was 1120. No the total cost is $171. Yes she bought more corn and beans than carrot.
To know more about multiplication,
https://brainly.com/question/14852806
#SPJ1
If a fair coin is tossed 8 times, what is the probability, rounded to the nearest
thousandth,of getting at least 6 heads?
The probability of getting at least 6 heads is3/256 or 0.0117
What is probability ?Probability shows possibility to happen an event, it defines that an event will occur or not. The probability varies from 0 to 1.
Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we might discuss the likelihood or likelihood of several outcomes. Statistics is the study of occurrences that follow a probability distribution.
Probability is a measure of how likely something is to occur. Calculating probability involves dividing the total number of outcomes by the number of possible ways an event may occur.
Given that,
A fair coin is tossed = 8 time.
We have to find the probability of getting at least 6 heads.
Since, the probability of getting head, when one coin is tossed = 1/2
And the probability of getting tale = 1/2
The probability of getting head at least 6 times when coin is tossed 8 times can be given as,
The head can come 6 times, then probability = \((1/2)\x^{6} (1/2)\x^{2}\) = (1/2)⁸
The head can come 7 times, then probability = (1/2)⁷(1/2) = (1/2)⁸
The head can come 8 times, then probability = (1/2)⁸
The probability of getting head at least 6 times
= (1/2)⁸ + (1/2)⁸ + (1/2)⁸ = 3(1/2)⁸ = 3/256 = 0.0117
The probability of getting at least 6 heads is3/256 or 0.0117
To know more about Probability on:
brainly.com/question/12478394
#SPJ1
Calculate the expected value E(X) of the given random variable X.
Forty-five darts are thrown at a dartboard. The probability of hitting a bull's-eye is .2. Let X be the number of bull's-eyes hit.
E(X) = _________
Answer:
E(X) = 9.
Step-by-step explanation:
That is 45 * (0.2) = 9.
The required expected value is given as 9 as per the given conditions.
Given that,
To Calculate the expected value E(X) of the given random variable X. Forty-five darts are thrown at a dartboard. The probability of hitting a bull's eye is .2. Let X be the number of bull's-eyes hit.
What is probability?Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
The expected value is the scenario predicting algorithm in maths that gives the prediction a value.
So,
According to the question,
E(x) = 0.2 × 45 = 9
Thus, the required expected value is given as 9 as per the given conditions.
Learn more about probability here:
brainly.com/question/14290572
#SPJ5
omplete the paragraph proof.
Given: and are right angles
Line segment A B is-congruent-to line segment B C Line segment B C is-congruent-to line segment A C
Prove: Line A R bisects Angle B A C
Triangles A B R and R C A share side R A. A line is drawn from point B to point C and intersects side A R at point P.
It is given that and are right angles, and . Since they contain right angles, ΔABR and ΔACR are right triangles. The right triangles share hypotenuse , and reflexive property justifies that . Since and , the transitive property justifies . Now, the hypotenuse and leg of right ΔABR is congruent to the hypotenuse and the leg of right ΔACR, so by the HL congruence postulate. Therefore, ________ by CPCTC, and bisects by the definition of bisector.
The BR is the perpendicular bisector of AC by CPCTC (corresponding parts of congruent triangles are congruent).
Based on the given information that angles ABR and ACR are right angles, and AB = AC, we can conclude that triangles ABR and ACR are right triangles.
Using the shared hypotenuse AR and the reflexive property, we can determine that side AB is congruent to side AC.
With this information, the transitive property allows us to conclude that angle BAR is congruent to angle CAR. Next, using the HL congruence postulate, we can prove that triangle ABR is congruent to triangle ACR.
This means that side BR is congruent to side CR, and angle BAC is bisected by line segment BR by the definition of bisector.
To learn more about : perpendicular
https://brainly.com/question/28063031
#SPJ8
Homer and other Greek writers used a literary technique called in medias res. Choose the item below that best
describes what that Latin phrase means and how it works out in a piece of literature.
It means to intercede between two entities, and Homer uses it in the section where Jove and Neptune are talking about what to do
about the Phaeacians having helped Ulysses.
It means in the middle of a race, and Homer's use of it is obvious when Ulysses and his crew are rowing hard to get away from
Polyphemus.
It means in the center of a kingdom, and it's the technique Homer uses when Ulysses has to travel into the city looking for King
Alcinous's palace.
It means in the middle of things, and Homer uses it in the Odyssey at the beginning of the epic because the story starts after the
Trojan War but before Ulysses gets back home.
Answer:
It means in the middle of things, and Homer uses it in the Odyssey at the beginning of the epic because the story starts after the Trojan War but before Ulysses gets back home.
Explanation:
Media res is a Latin phrase that means a situation where the narration starts in the middle of the story. In simple words, it means when a speaker talks about a story, starting with the middle of the plot but before the ending.
Likewise, Homer used this technique in his epic narrative story The Odyssey when he starts the story after the Trojan War and in the middle of the journey bur before the culmination of the story. Media res allows the middle of the plot to be the starting point and then gradually go back and forth in the narration between the past and the current/ situation.
Thus, the correct answer is the last or fourth option.
Suppose a random variable, x, follows a Poisson distribution. Let μ = 2.5 every minute, find the P(X ≥ 125) over an hour. Round answer to 4 decimal places.
Answer:
P(X ≥ 125) = 0.9812
Step-by-step explanation:
To solve this question, we need to understand the Poisson distribution and the normal distribution.
Poisson distribution:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
\(P(X = x) = \frac{e^{-\lambda}*\lambda^{x}}{(x)!}\)
In which
x is the number of sucesses
e = 2.71828 is the Euler number
\(\lambda\) is the mean in the given interval, which is the same as the variance.
Normal distribution:
When the distribution is normal, we use the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The Poisson can be approximated to the normal, with \(\mu = \lambda, \sigma = \sqrt{\lambda}\)
Let μ = 2.5 every minute
This is the mean of the Poisson, so \(\lambda = 2.5n\), in which n is the number of minutes.
P(X ≥ 125) over an hour
An hour has 60 minutes, so \(n = 60, \lambda = 2.5*60 = 150, \sigma = \sqrt{150} = 12.25\)
Using continuity correction, this is \(P(X \geq 125 - 0.5) = P(X \geq 124.5)\), which is 1 subtracted by the pvalue of Z when X = 124.5. So
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{124.5 - 150}{12.25}\)
\(Z = -2.08\)
\(Z = -2.08\) has a pvalue of 0.0188
1 - 0.0188 = 0.9812
So
P(X ≥ 125) = 0.9812
What is the Domain and range of y=(x-1)^2-4