I already found the vertex, but can someone help me find the latus rectum of this parabola?

I Already Found The Vertex, But Can Someone Help Me Find The Latus Rectum Of This Parabola?
I Already Found The Vertex, But Can Someone Help Me Find The Latus Rectum Of This Parabola?

Answers

Answer 1

Answer:

Step-by-step explanation:

y=x²+7

vertex(0,7)

the length of latus rectum in a parabola equal to four times the focal length :

y=x²+7

focus X=-b/2a=0

focus Y=c- (b²-1)/4a=7+1/4=29/4

focus (0 , 29/4)

latus rectum is 29/4

(x-h)^2 = 4p (y-k)   4p is the length of the latus rectum with vertex(0,7)

(0-0)²=4p(29/4-7)

0=29p-28p=1p

the length of the latus rectum is 1

Answer 2

Answer:

  1

Step-by-step explanation:

The short answer is that the length of the latus rectum is the reciprocal of the magnitude of the leading coefficient.

In y = x^2 +7, the leading coefficient is 1.

  latus rectum = 1/|1| = 1


Related Questions

how many quarts make 5 gallons

Answers

Answer:

4 quarts

Hope it helps!

Step-by-step explanation:

Answer: 5 gallons= 20 quarts

              1 gallon = 4 quarts

PLEASE ANSWER QUICKLY ASAP
please read question carefully ​

Answers

Answer:

340 im pretty sure

Step-by-step explanation:

Find the sum of −2 5/10 and −5 4/15. Then, in two or more complete sentences, explain the steps you used to add the mixed numbers.

Answers

Answer:

Exact Form: -5/2, -79/15            Decimal form: -2.5, -5.26      mixed number form: -2 1/2,   -5 4/15

Answer:

-7  9/10

Step-by-step explanation:

First, I converted the mixed numbers into improper fractions, which left me with 25/10 plus 79/15. I had to find common denominators for the both of them, and I ended up with 30. 10 goes into 30 3 times, and 3 times 25 is 75. 15 goes into 30 two times, and 2 times 79 is 158. That left me with 75/30 plus 158/30 and my first answer was 237/30. I then had to convert that improper fraction into a mixed number. 237 divided by 30 is 7 with a remainder of 27. My next answer to this problem was

7  9/10. A negative plus a negative equals a negative number, so the final answer is -7  9/10.

Write the equation of the line that passes through the points (9,5)(9,5) and (8,-3)(8,−3). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line

Answers

Answer:

[tex]y = 8x -67[/tex]

Step-by-step explanation:

Given

(9,5) and (8,-3)

Required

Determine the line equation

First, we need to determine the slope  of the line: using

[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]

Where

[tex](x_1,y_1) = (9,5)[/tex]

[tex](x_2,y_2) = (8,-3)[/tex]

So;

[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex] becomes

[tex]m = \frac{5 - (-3)}{9 - 8}[/tex]

[tex]m = \frac{5 +3}{9 - 8}[/tex]

[tex]m = \frac{8}{1}[/tex]

[tex]m = 8[/tex]

The line equation using point slope form is calculated as thus:

[tex](y- y_1) = m(x - x_1)[/tex]

Using [tex](x_1,y_1) = (9,5)[/tex] and [tex]m = 8[/tex], we have

[tex]y - 5 = 8(x - 9)[/tex]

Open the bracket

[tex]y - 5 = 8x - 72[/tex]

Make y the subject of formula

[tex]y = 8x - 72 + 5[/tex]

[tex]y = 8x -67[/tex]

15 decreased by twice a number

Answers

Answer:

Hello! I hope I am correct! (Picture below)

Step-by-step explanation:

Function:

Y=15-2x

The word “decreased” means subtraction & The word “twice” means 2x (2 times)

Therefore, the answer is 15-2x.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Look at picture.

Brainliest would be appreciated!

Hope this helps!

By: BrainlyAnime

a positive number is 7 times another number if 3 is added to both the numbers then one of the new number becomes 5 by 2 times the other new number what are the numbers​

Answers

Answer:

7 and 1

Step-by-step explanation:

Let the numbers be a and b.

A positive number is 7 times another number:

a = 7b

If 3 is added to both the numbers then one of the new number becomes 5 by 2 times the other new number:

a+3 = 5/2 × (b +3)

To solve this we substitute a with 7b in the second equation:

7b + 3 = 5/2 × (b +3)               ⇒ multiplying both sides by 214b + 6 = 5b + 15                    ⇒ collecting like terms14b - 5b = 15 - 69b = 9b = 1                                        ⇒ solved for b

Then, finding a:

a= 7ba=7*1a= 7                                        ⇒ solved for a

So the numbers are 7 and 1

Solve for x. A. 19 B. 17 C. 15 D. 11

Answers

Answer:

B. 17

Step-by-step explanation:

By the property of intersecting secants outside of a circle, we have:

7 (7 + x) = 8 (13 + 8)

49 +7x = 8*21

7x = 168 - 49

7x = 119

x = 119/7

x = 17

c) If the spinner is spun another 1000 times,
about how many times would you expect it to land on green? If the probability of it is 39/300

Answers

Answer:

130

Step-by-step explanation:

Probability of green:

P= 39/300

Number of attempts:  

1000

Expected number of landing on green:

Expected frequency = probability × number of trials1000*39/300 = 130 times

Answer: 130 times

Find the first four terms of the sequence given a1=18 and an+1=2+an2. A. 18, 10, 6, 5 B. 18, 10, 6, 9 C. 18, 14, 6, 9 D. 18, 10, 6, 4

Answers

The first four terms of the given sequence are 18, 10, 6, and 4 respectively.

What is a sequence?

A sequence is an ordered list object which related and connected by a common value.

There are many sequences. They are Arithmetic sequence, Geometric sequence, and so on.

Calculation:

It is given that,

The first term of the sequence is a1 = 18

And the terms of the sequence are related by,

a(n + 1) = (2 + an)/2

For n = 1;

a(1 + 1) = (2 + a1)/2

⇒ a2 = (2 + 18)/2 = 10

For n = 2;

a(2 + 1) = (2 + a2)/2

⇒ a3 = (2 + 10)/2 = 6

For n = 3;

a(3 + 1) = (2 + a3)/2

⇒ a4 = (2 + 6)/2 = 4

Thus, the first four terms of the given sequence are a1 = 18, a2 = 10, a3 = 6, and a4 = 4.

Learn more about a sequence here:

https://brainly.com/question/6561461

#SPJ1

Suppose y varies jointly as x & z. If y = -180 when z = 15and x = -3,then find y when x = 7 and z = -5.

Answers

Answer:

y = - 140

Step-by-step explanation:

Given that y varies jointly as x and z then the equation relating them is

y = kxz ← k is the constant of variation

To find k use the condition y = - 180 when z = 15 and x = - 3, thus

- 180 = k × - 3 × 15 = - 45k ( divide both sides by - 45 )

4 = k

y = 4xz ← equation of variation

When x = 7 and z = - 5, then

y = 4 × 7 × - 5 = - 140

What is the volume of this rectangular prism?
2 cm
7/3 cm
2 cm

Answers

Answer
9.3
Explanation
I got it right

Answer:

28\3

Step-by-step explanation:

Can someone please help!

Answers

Plot point F where angle alpha is located.

Triangle ABF has two interior angles x and 80. They add to the exterior angle alpha due to the remote interior angle theorem.

alpha = x+80

Answer: Choice D

Whats the volume of the cylinder? Round your answer to the nearest hundred the top is B the left side of the cylinder is 13cm the bottom of the cylinder is 4cm so whats the volume of it?

Answers

Answer:

The volume of the cylinder is 163.3 m³.

Step-by-step explanation:

Given that,

Height = 13 cm

Base = 4 cm

So, radius = 2 cm

We need to calculate the volume of the cylinder

Using formula of cylinder

[tex]V=\pi r^2h[/tex]

Where, r = radius

h = height

Put the value into the formula

[tex]V=\pi\times(2)^2\times13[/tex]

[tex]V=163.3\ cm^3[/tex]

Hence, The volume of the cylinder is 163.3 cm³.

is 11-2x the same as 2x-11

Answers

No, they aren’t the same.

For example, if x equaled 3
11-2(3) = 5
2(3)-11 = -5

No they are not the same.

We can plug in x = 0 to get

11-2x = 11-2(0) = 11-0 = 11

2x-11 = 2(0)-11 = 0-11 = -11

We get the results 11 and -11 for the expressions 11-2x and 2x-11 respectively. Since we got different outputs, this is enough to show that the expressions are not the same. They would need to produce the same outputs for any given x value.

On a graph, y = 11-2x and y = 2x-11 are two different lines to show they are not the same expression.

note: if you plug in x = 11/2 = 5.5, then both outputs are the same; otherwise, you'll get different outputs.

I need help on this question please.

Answers

Answer:

27π inch^3

Step-by-step explanation:

27n in 3 is the answer

PLEASE ANSWER ASAP!!!!!!!!!!!!!!!!!!!!! The price of coffee has dropped to $2.30. Yesterday's price was $2.55. Find the percentage decrease. Round your answer to the nearest tenth of a percent

Answers

9.8 percent. All you have to do is subtract 2.30 from 2.55 and then divide that answer by 2.55 and then multiply that by 100

Answer:

9.8%

Step-by-step explanation:

Step 1: Find the change in price

2.55 - 2.30 = $0.25

Step 2: Divide change with original price

0.25 / 2.55 = 0.098....%

Step 3: Multiple by 100 to get percent

0.098 x 100 = 9.8%

Porfavor resolv erme esas preguntas o una :v porfis .El salón de mi clase de matemáticas mide 700 m2, cuánto mide 1/4 del salón? Cuánto mide 3/4 del salón? . Cuántos minutos son 3/5 de media hora? . Se necesitan 4/7 de litro de pintura para pintar un metro cuadrado de pared, si queremos pintar 2/5 de metro cuadrado de pared, cuánta pintura necesitaremos? . Si se necesitan 2/5 de naranja para hacer un vaso de jugo de naranja, cuántas naranjas necesitas para hacer 2 vasos y medio?

Answers

Answer:

Explained below.

Step-by-step explanation:

The question is:

Please answer me these questions or one: v please. My math class room is 700 m2, how much is 1/4 of the room? How long is 3/4 of the room? . How many minutes is 3/5 of a half hour? . It takes 4/7 of a liter of paint to paint a square meter of wall, if we want to paint 2/5 of a square meter of wall, how much paint will we need? . If it takes 2/5 of an orange to make a glass of orange juice, how many oranges do you need to make 2 and a half glasses?

(1)

Compute 1/4th of the math class room as follows:

[tex]=700\times\frac{1}{4}\\=175[/tex]

Thus, 1/4th of the math class room is 175 m².

(2)

Compute 3/4th of the math class room as follows:

[tex]=700\times\frac{3}{4}\\=525[/tex]

Thus, 3/4th of the math class room is 525 m².

(3)

Compute 3/5th of half an hour as follows:

[tex]=30\times \frac{3}[5}\\=18[/tex]

Thus, 3/5th of half an hour is 18 minutes.

(4)

A square meter of wall required 4/7 liter of paint.

Then 2/5 of a square meter will require,

[tex]=\frac{4}{7}\times \frac{2}{5}\\\\=\frac{8}{35}[/tex]

Thus, 8/35 liter of paint will be used to pain /5 of a square meter of the wall.

(5)

1 glass of orange juice can be made using 2/5 of an orange.

Then 2 and half glass will require,

[tex]=\frac{2}{5}\times 2\frac{1}{2}\\\\=\frac{2}{5}\times \frac{5}{2}\\\\=1[/tex]

Thus, 1 orange will be required to make 2 and half glass of orange juice.

In the expression 7³ - 4 · 3 +8, the first operation is? A. An Exponent B. Subtraction C. Multiplication D. Addition

Answers

Answer:

An exponent

Step-by-step explanation:

look at PEM/DA/S

Parenthesis

EXPONENTS

and then you can stop the first operation is 7^3

this is an exponent

(also brainliest if this helped please!)

The first operation according to the PEM/DA/S rule to evaluate the 7³ - 4 · 3 +8 expression is an exponent.

What is PEM/DA/S rule?

It is the order or sequence of evaluating a math expression. We can remember the order using PEM/DA/S: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

In the given expression, using PEM/DA/S rule (Sometimes called BODMAS; the synonym of PEM/DA/S):

evaluate 7³ - 4 · 3 +8

The first operation is an exponent term, i.e.,

[tex]7^{3}[/tex]

Hence our first operation in the sequence of evaluating the given expression value is an exponent.

To learn more about PEM/DA/S, refer to the link:

https://brainly.com/question/36185

#SPJ2

Write the following fractions as mixed number: 46/9, and 32/5

Answers

Answer:

[tex]5 \frac{1}{9}[/tex]

[tex]6 \frac{2}{5}[/tex]

Step-by-step explanation:

We can convert these improper fractions into mixed numbers by seeing how many times the denominator goes into the numerator.

In [tex]\frac{46}{9}[/tex], 9 goes into 46 5 times, with a remainder of 1. So:

[tex]5 \frac{1}{9}[/tex].

In [tex]\frac{32}{5}[/tex], 5 goes into 32 6 times with a remainder of 2, so:

[tex]6 \frac{2}{5}[/tex].

Hope this helped!

Answer:

5 1/9 and 6 2/5

Step-by-step explanation:

The simplest way to convert improper fractions into mixed fractions is by long division (see attached).

The chance of Jake winning a 100m race is 3/5. What is the probability of him losing the same race​?

Answers

Answer:

2/5 (because the chance winning the race is 3/5 and the remaining is 3/5 when we add 3/5 , 2/5 the answere is 5/5 when we subtract 3/5 from 5/5 the answere is 2/5

Special right triangles

Answers

what should we do??? the question isn't there!

The Ruiz family is exchanging euros for US dollars. The exchange rate is 1 euro equals 1.35261 USD. Since the Ruiz family knows that USD are stated to the nearest hundredth of a dollar, they used the conversion ratio. Will this give the Ruiz family the correct exchange?

Answers

Answer:

It will depend on how many euros they intend to convert. If they were only converting one euro they would get $1.35 whichever rate they used, but imagine it was a thousand euros - at the correct rate they would get $1352.61, at the proposed rate they would only get $1350.

Step-by-step explanation:

No, by rounding the conversion ratio, the Ruiz family will not be getting the most accurate answer. Using the more accurate conversion ratio will give an answer with more than 2 decimal places so the answer can accurately be rounded after the conversion.

Answer:

No, by rounding the conversion ratio, the Ruiz family will not be getting the most accurate answer. Using the more accurate conversion ratio will give an answer with more than 2 decimal places so the answer can accurately be rounded after the conversion.

Step-by-step explanation:

just copy/paste

How can I find how many 13 are in 33?

Answers

Answer:

therefore, 33 divided by 13 equals 2 and 7 thirteenths (can be rewritten as 2 7/13)  

Step-by-step explanation:

Long division:

13  33

13*2 = 26

33 - 26 = 7

we have: 33/13 = 2 r7

we know that we can rewrite the remainder as 7/13

therefore, 33 divided by 13 equals 2 and 7 thirteenths (can be rewritten as 2 7/13)  

3x is a ____ of 3x^2 - 6x^3.

Answers

Answer:

[tex]\boxed{factor}[/tex]

Step-by-step explanation:

Hey there!

3x * x = 3x^2

3x * 2x = 6x^3

So 3x is a factor of 3x^2 - 6x^3.

Hope this helps :)

(Will give brainliest to the most explained answer!) Can someone explain how to factor Polynomials. Please explain it like you’re teaching this to a 5 year old. :)

Answers

Step-by-step explanation:

Find the Greatest Common Factor (GCF) of a polynomial.

Factor out the GCF of a polynomial.

Factor a polynomial with four terms by grouping.

Factor a trinomial of the form .

Factor a trinomial of the form .

Indicate if a polynomial is a prime polynomial.

Factor a perfect square trinomial.

Factor a difference of squares.

Factor a sum or difference of cubes.

Apply the factoring strategy to factor a polynomial completely

Answer:

See explanation

Step-by-step explanation:

We can factor polynomials by breaking down the expression.

For instance, let's say we have the polynomial [tex]x^2 - 9x + 14[/tex].

We can start solving this because this polynomial is in standard form, meaning that the highest exponents go first. ([tex]ax^2 + bx + c[/tex].)

To factor a polynomial, we are looking for two numbers that:

A. When multiplied, get us [tex]c[/tex] (in this case, 14)

B. When added, get us [tex]b[/tex] (in this case, -9).

If we play around with numbers, looking at the factors of 14, we see that the numbers 7 and 2 might be useful here. They add up to 9 and multiply to be 14.

However, these numbers ADD to be -9, meaning that they both need to be negative.

[tex]-7 + -2 = -9\\-7\cdot-2=14[/tex]

Now that we know our numbers, -7 and -2, we can make these our factors (which are represented by [tex](x + y)[/tex], y being our factor.

So our factors turn out to be [tex](x-7)[/tex] and [tex](x-2)[/tex].

Let me know if you need anything explained more, and I hope this helped!

Water flows through a pipe at a rate of 4 quarts per day. Express this rate of flow in liters per week. Round your answer to the nearest tenth.

Answers

Answer:

26.5 liters

Step-by-step explanation:

We know that 1 gallon is 4 quarts, and 1 gallon is approx. 3.78 liters. There's 7 days in a week, so 7 gallons of water is being flowed through. Multiplying 3.78  by 7, we get 26.46 liters per week. Rounding to the nearest tenth, and we get 26.5 liters.

find a rational number that is between 5.2 and 5.5. explain why it is rational.

Answers

Answer:

5.3

Step-by-step explanation:

A rational number is a number that can be written as the quotient of two integers.

5.2 and 5.5 are both rational since they can be written as quotients of integers as shown below.

5.2 = 52/10

5.5 = 55/10

5.3 is a number between 5.2 and 5.5, and since 5.3 can be written as 53/10, it is rational.

Answer: 5.3

Answer:

Step-by-step explanation:

rational numbers can be written in form a/b where b≠0

5.2 and 5.5

52/10 and 55/10

so some rational numbers could be

53/10, 54/10

irrational numbers  most likely the square root numbers

square them

5.2^2=27.04

5.5^2=30.25

5.2<?<5.5

square everybody

27.04<?²<30.25

so pick a number between 27.04 and 30.25

29 or 30 are 2 numbers

I'll pick 29

?²= 29

square root

?=√29

the irrational number can be √29

it is 5.39 to the hundredth

hey i suck at math can someone help me with this question

Answers

we can subtract the trapezium (white part) formed after from the trapezium (including white and grey) to get area of striped part

area of trapezium is [tex]\frac H2(a+b)[/tex] where $a$ and $b$ are parallel sides.

for bigger trapezium, $h=4$ parallel sides are $5$ and $5$

hence area is $\frac{4(5+5)}{2}=20$

similarily area of white trapezium, $\frac{4(3+3)}{2}=12$

and area of striped part is $20-12=8$

There is a zombie outbreak in a city that infects 10 people right away. Each of the 10 zombies are able to infect 2 people every minute. How many people are infected in 8 minutes?

Answers

160 people infected in 8 min

Help, Answer ASAP; will give brainliest

Answers

Answer:

Step-by-step explanation:

measure of a = 9 degree

angle POM = 48 degree = angle NMO [ AIA}

HOPE IT HELPS

Answer:

Below

Step-by-step explanation:

We are given that <PMO= (3a+15)° and NMO= (6a-6)°

Notice that the sum of <PMO and <NMO gives a right angle.

● <PMO+<NMO = 90°

● 3a+15+6a-6 = 90

● 9a + 9 = 90

Substruct 9 from both sides

● 9a +9 -9 = 90 -9

● 9a = 81

Divide both sides by 9

● 9a/9 =81/9

● a = 9

So the value of a is 9°

■■■■■■■■■■■■■■■■■■■■■■■■■■

MN and PO are parallel since MNOP is a rectangle.

MO is crossing MN and PO so <POM and < NMO are alternate interior angles wich means that they have the same size.

● <NMO = <POM

● <POM = 6a-6

The value of a is 9°

● <POM = 6*9-6 = 48°

So <POM = 48°

Other Questions
An investor purchases a 15-year, $1,000 par value bond that pays semiannual interest of $50. If the semiannual market rate of interest is 6%, what is the current market value of the bond The amount of money spent on textbooks per year for students is approximately normal. a. To estimate the population mean, 19 students are randomly selected the sample mean was $390 and the standard deviation was $120. Find a 95% confidence for the population meam. b. If the confidence level in part a changed from 95% 1to1999%, would the margin of error for the confidence interval (mark one answer): decrease stay the same increase not enough information to answer c. If the sample size in part a changed from 19 10 22. would the margin of errot for the confidence interval (mark one answer): decrease in stay the same increase in not enough information to answer d. To estimate the proportion of students who purchase their textbookslused, 500 students were sampled. 210 of these students purchased used textbooks. Find a 99% confidence interval for the proportion of students who purchase used text books. Leading up to the Battle for New York in 1776, Hamilton joined the ContinentalArmy hoping to see action in battle and perhaps a battle command. On whosestaff did he instead serve?Your answer All large radioactive atoms decay into smaller atoms by releasing alpha particles. Each alpha particle has 2 protons, 2 neutrons, and 0 electrons. The table below describes several neutral, low-mass atoms.A 4-column table with 4 rows, labeled Stable Isotopes of Low-Mass Elements. The first column labeled element name has entries hydrogen, helium, lithium, beryllium. The second column labeled symbol has entries H, H e, L i, B e. The third column labeled atomic number has entries 1, 2, 3, 4. The fourth column labeled number of neutrons has entries 0, 2, 4, 5.An alpha particle is also referred to as a nucleus of which isotope?lithium-7helium-4hydrogen-2helium-2 In 2008, golfer Annika Sornestam had a driving accuracy of 71%. That is, on par 4 and par 5 holes, her tee shot landed in the fairway 71% of the time. Explain how to use a spinner to simulate Sorenstams performance in a round of golf where she attempts 15 drives. (Hint: What type of chart is a spinner? What does each piece represent?) DEF Company is incorporating and coming to market with an initial public offering of common stock. The company has already filed their registration statement and the registration has become effective. The company sees that demand for securities is high, and decides to amend the total amount of common stock that will be offered. Would this amendment be allowable under the rules of the Uniform Securities Act I WILL GIVE BRAINLIEST Identify two types of motion where an object's speed remains the same while it continues to change direction How many planes exist that pass through points A, B,and C?O123 Question 17 of 502 PointsWhich type of selection is the most likely to result in Speciation?A. Stabilizing selectionB. Directional selectionOC. Disruptive selectionD. Artificial selectionReset Selection Andy tells Ervin and Marina that everyone will lose their jobs if the company goes out of business, whether they have guild protection or not. Which influence tactic is Andy most likely utilizing? Write the form of the partial fraction decomposition of the rational expression. Do not solve for the constants. 5x 4 x(x2 + 7)2 Which artist had the greatest influence over the ideas used by the FrenchRoyal Academy?O A. MichelangeloO B. RembrandtO C. PoussinO D. Rubens Please answer question now ****PLATO WORK PLZ HELP 30 POINTS**** Evaluate the end of the story when D introduces an element of dramatic irony. Why do you think the narration switches focus to the gun after the characters leave the ruined city? As the gun parts drive toward the broken gun, what mood is created for the reader? How is this ending an example of dramatic irony? What is the missing reason in the proof?StatementsReasons1. AB / CD; BC // DA 1. given2. Quadrilateral ABCD 2. definition of parallelogramis a3. AB CD; BC = DA 3. opposite sides of aparallelogram are >4. AC AC4. reflexive property5. AABC 2 ACDA 5. ?perpendicular bisector theoremPythagorean theoremHL theoremSSS congruence theorem By the end of the accounting period, employees have earned salaries of $500, but they will not be paid until the following pay period. Which of the following is the proper adjusting entry? A) Credit Salaries expense for $500. B) Debit Salaries payable for $500. C) Credit Unearned revenues for $500. D) Debit Salaries expense for $500. When scientists are ready to publish the result of their experiments why is it important for them to include a description of the procedure they used Which is a minor theme in the land PLZ answer quick i will give brainliest if right no explanation needed Joe is responsible for reserving hotel rooms for a company trip. His company changes plans and increases how many people are going on the trip, so they need at least 50 total rooms. Joe had already reserved and paid for 161616 rooms, so he needs to reserve additional rooms. He can only reserve rooms in blocks, and each block contains 8 rooms and costs $900. Let B represent the number of additional blocks that Joe reserves. 1) Which inequality describes this scenario? Choose 1 answer: a: 16+8B50 b: 16+8B50 c: 16+B50 d: 16+B50 2) What is the least amount of additional money Joe can spend to get the rooms they need? 7.19 We are given the following probability distribution. x P(x) b. c. d. 0 1 2 3 .1 .4 .3 .2 a. Calculate the mean, variance, and standard deviation.