Select the correct answer.
What is √x^9y^4
in simplest form?

Answers

Answer 1

Answer:

x^3y^2

Step-by-step explanation:

[tex]\sqrt{x^9y^4}\\ =\sqrt{x^9}\sqrt{y^4}\\ = x^3y^2[/tex]


Related Questions

9^2 times 9^-6 exponential form

Answers

The result of the expression in exponential form is 9^-4

Product of exponents

Given the expression below

[tex]9^2 \times 9^{-6}[/tex]

According the product law, since the base are equal, we will add the exponent to have:

[tex]9^2 \times 9^{-6}=9^{-6+2}\\9^2 \times 9^{-6} = 9^{-4}[/tex]

Hence the result of the expression in exponential form is 9^-4

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What is the area of the trapezoid? If necessary, round your answer to the nearest tenth.

A trapezoid with bottom side length of 8.5 feet, top side length of 5.5 feet, and height of 6.5 feet.
35.8 feet squared
45.5 feet squared
46.8 feet squared

Answers

The area of the trapezoid is calculated as 45.5 feet squared.

What does Area of Trapezoid mean?

The entire area occupied by the sides of a trapezoid is its area. It's important to notice that if we know the lengths of all the sides, we can divide the trapezoid into smaller polygons, such as triangles and rectangles, calculate their areas, and then sum them all together to determine the area of the trapezoid.

The formula for Trapezoid Area:

If the parallel sides of the trapezoid are known, along with their height, it is possible to determine their area. It is expressed as,

A=[tex]1/2[/tex](a+b) h

where, A= the area of the trapezoid

h= height

'a' & 'b' = parallel side bases

Solution:

a=5.5 feet , b= 8.5 feet & h=6.5 feet

A=[tex]1/2[/tex](a+b)h

∴A=[tex]1/2[/tex](5.5+8.5)*6.5

⇒A=[tex]1/2[/tex](14)*6.5

⇒A=7*6.5

A=45.5 feet squared

Therefore, the solution is  (b) 45.5 feet squared.

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i would appreciate your help

Answers

__________________________________________________________

[tex]\text{\textbf{Hello!} In this question, we are trying to figure out the \underline{equation} of the line}\\\text{with the given information.}[/tex]
__________________________________________________________

[tex]\textbf{Explanation:}\\\quad{}\\\text{In the question, we were given our \emph{slope} (gradient) and a \emph{point}. This will help}\\\text{us solve our problem.}\quad{}\\\\\text{Slope: 2 }\\\\\text{Point: (1, 4)}\\\quad{}\\\text{In order to find the equation, we will be using the \underline{point-slope formula:}}\\\quad{}\\y - y1 = m(x - x1)\\\quad{}\\\text{With this equation, we would plug in our given values to its}\\\text{correct variable and solve.}[/tex]
__________________________________________________________


[tex]\textbf{Solve:}\\\\\text{Use the point-slope formula to solve.}\\\\y - y1 = m(x - x1)\quad{}\\\\\text{Plug in 2 to m, 1 to x1, 4 to y1 and then solve.}\\\\y - 4 = 2(x - 1)\\\\\text{Use the \underline{distributive property} to distribute the 2.}\\\\y - 4 = 2x - 2\\\\\text{Add 4 to both sides to cancel the 4 on the left and move the remainder}\\\text{to the right side of the equal sign.}\\\\y = 2x + 2\\\\\text{Since we can't simplify any further, our answer is: \fbox{y = 2x + 2}}[/tex]
__________________________________________________________

[tex]\textbf{Answer:}\\\\\text{Therefore, the equation of the line (our final answer) would be \fbox{y = 2x + 2}}[/tex]
__________________________________________________________

(a) By what least number must 27 be divided to make it perfect square​

Answers

Answer:

3

Step-by-step explanation:

When you divide 27 by 3 it will give you 9 and the square root of 9 gives you a perfect answer indicating that 3 is the least number that must be divided into 27

Answer:

[tex]\fbox {3}[/tex]

Step-by-step explanation:

First, prime factorize 27 :

⇒ 27 = 3 × 3 × 3

If 27 was divided by 3, it would give 3 × 3, which would give 9, a perfect square.

A school stores expenses and sales for a three-month period are shown in the table below. Month Expense Sales September $125.00 $47.00 October$0.00 $65.00 November $57.00 $28.00 Based on the data in the table, what is the loss or pro t for the store for the three-month period? A. $182.00 loss B. $42.00 loss C. $15.00 profit D. $140.00 profi
t

Answers

The school store is in $42 loss , Option B is the correct answer.

What is Profit and Loss ?

When the sales is more than the expenses then it is called profit and vice versa is called Loss.

The sales and expenses for three months are given

To calculate overall Profit/Loss

Total Expenses = $125 + $0 +$ 57 = $182

Total Sales = $47 +$65 + $28 = $140

Therefore as sales is less than the expense , The school is in loss

Loss = $ 182 -$ 140 = $42

Thus Option B is the correct answer.

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Aro diagram his rafting trip

Answers

The speed of Aro's paddling and speed of the river will be 1.56 miles per hour and 0.52 miles respectively.

How to calculate the speed?

Aro diagrams his river rafting trip, estimating the time it will take him to paddle upstream against the current, and then back downstream with the current. His campsite destination is 5.2 miles upstream. Determine how fast Aro can paddle and how fast the river water is moving. Round to the nearest hundredth as needed. Upstream: Downstream: Let x be the speed of Aro’s paddling and let y be the speed of the river. Upstream: 1.04 = x – y Downstream: 2.08 = x + y Aro can paddle at a speed of miles per hour. The river’s speed is miles per hour.

Based on the information given, the equations will be:

x + y = 1.04

x + y = 2.08

Add both equations together. This will be:

x = 1.56

Now substitute the value of x into equation ii. This will be:

1.56 + y = 2.08

y = 2.08 - 1.56

y = 0.52

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Draw a graph of y=3x-2. Using a scale of 2cm to 5units on both axes for values from x -2 to +2
What is the x-intercept
What is the y- intercept
Find the value of x when y= 5
Find the value of y when x= 0.5
pls pls ASAP ​

Answers

Function: y = 3x - 2

To find x-intercept, set [y = 0]:

[tex]\rightarrow \sf 3x - 2 = 0[/tex]

[tex]\rightarrow \sf 3x = 2[/tex]

[tex]\rightarrow \sf x = \dfrac{2}{3}[/tex]

The x-intercept: (2/3, 0)

To find y-intercept, set [x = 0]

[tex]\rightarrow \sf y = 3(0) - 2[/tex]

[tex]\rightarrow \sf y = - 2[/tex]

The y-intercept: (0, -2)

When [y = 5], x is:

[tex]\rightarrow \sf 3x - 2 = 5[/tex]

[tex]\rightarrow \sf 3x = 5 + 2[/tex]

[tex]\rightarrow \sf 3x = 7[/tex]

[tex]\rightarrow \sf x = \dfrac{7}{3}[/tex]

[tex]\rightarrow \sf x = 2 \dfrac{1}{3}[/tex]

Value of x is 2.33...

When [x = 0.5], y is

[tex]\rightarrow \sf y =3(0.5) - 2[/tex]

[tex]\rightarrow \sf y =-0.5[/tex]

Value of y is -0.5

Graph shown:

Step 3: So, M 12= 60 Degrees
Use the drop-down menus to explain whether or not Stuart is corrrect.

Answers

The reasoning that may be used for finding the measure of m∠12, is the

same side interior angles theorem.

The correct options using the drop-down menu are;

The sum of ∠1, ∠7, and ∠8 is 180°

∠8 and ∠12 are the same side interior angles

The measure of ∠12 must be = 120°

Stuart is not correct

The complete question is given below:-

In the diagram, line x is parallel to line y,m21= 65°, and m27 = 55°. Stuart says that m212 = 60°. His reasoning is shown. Step 1: mZ8 = 60°, because m21+ m27 +m28 = 180º. Step 2:28 212, because 28 and 212 are corresponding angles. Step 3: So, mZ12 = 60° Use the drop-down menus to explain whether or not Stuart is correct.​

What is an angle?

The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

Given parameters;

Line x ║ line y

m∠1 = 65°, m∠7 = 55°

m∠12 = 60°

Stuart states ∠12 = 60°

The reasoning is presented as follows;

Step 1: m∠8 = 60°, because m∠1 + m∠7 + m∠8 = 180°

Step 2: ∠8 ≅ ∠12, because ∠8 and ∠12 are corresponding angles

Step 3: So, m∠12 = 60°

Using the drop-down menu, we have;

The sum of ∠1, ∠7, and ∠8 is 180° (Sum of angles in the triangle)

∠8 and ∠12 are same side interior angles (by definition)

Same side interior angles are supplementary, therefore;

∠8 +∠12 = 180°

∠12 = 180°  - ∠8

Which gives;

The measure of ∠12 must be 180° - ∠8 = 180° - 60° = 120°

The measure of ∠12 must be = 120°

Stuart is not correct

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The table to the right lists probabilities for the corresponding numbers of girls in three births. What is the random variable, what are its possible values, and are its values numerical?

Answers

The true statement is (b) the random variable is x, the possible values are 0 to 3 and the values are numerical

How to determine the true statement?

The table is added as an attachment

From the attached image, we have:

Number of girls (x)          P(x)

0                                         0.125

1                                         0.375

2                                         0.375

3                                         0.125

In the above, the random variable is x, while P(x) represents its probabilities.

Also, the possible values are 0 to 3 as shown in the table.

0 to 3 are numerical digits, and the values are numerical

Hence, the true statement is (b)

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What is 5,435,778 expressed in scientific notation? A. 5.435778 x 10 B. 5.435778 x 10 C. 5.435778 x 10 D. 5.435778 x 10

Answers

Answer:

The answer options seem to be missing their exponents for the 10 unit.

Answer is:  5.435778 x [tex]10^{6}[/tex]

Step-by-step explanation:

5,435,778

Move the decimal point to the left until it is between the 5 and 4.  Scientific notation means rewriting the number with only one digit to the left of the decimal point and adding the "x [tex]10^{x}[/tex] after to account for the number of positions the decimal point was moved.  

Count the number of places required for the move.

5,435,778     0

543577.8      1

54357.78      2

5435.778      3

543.5778      4

54.35778      5

5.435778      6

Each move reduces the number by a factor of 10.  This means that the final move to make the number 5.435778 required dividing the original number by 10 a total of 6 times.  By multiplying this last number by 10 a total of 6 times, we obtain the original number.  

We could write this as:    (5.435778)*(10)*(10)*(10)*(10)*(10)*(10)

but that defeats the purpose of scientific notation, which is to simplify the number so that it is 1) easier to read, 2) saves printers paper and ink, and 3) reduces transcription errors.

So scientific notation is the process of writing this as:

5.435778 x [tex]10^{6}[/tex]

Raphael is ordering a scoop of ice cream. For the flavor, he is given the option of chocolate, strawberry, vanilla, cookies ‘n cream, or peanut butter. For the size, he is given the option of small, medium, or large. For the cone, he is given the option of a sugar cone, waffle cone, or cup. How many possible order combinations are there?

Answers

Answer: 165

Step-by-step explanation: If you calculate the 3 different choices and the total of 11 different objects, you get 165 total combinations.

Answer:

45 possible combinations

Step-by-step explanation:

since there are 5 options of flavour (chocolate, strawberry, vanilla, cookies 'n' cream, and peanut butter) then you must multiply your flavours by your next option.

the size options come in 3 options (small, medium, and large) therefore we multiply the flavours (5) by sizes (3)

5 * 3 = 15

then multiply the result (15) by the cup options (3)

15 * 3 = 45

your answer is 45

hope this helps:)

Given that y varies directly as x², find the percentage increase in y when x doubles.

Answers

Answer:400%

Step-by-step explanation: by the commutativity of multiplication we find (2x)^2=4(x^2)=4(y)

Brian ordered 3 large cheese pizzas and a salad. The salad cost $4.95. If he spent a total of $47.60 including the $5 tip, how much did each pizza cost? (Considering there's no tax) Please I really need help

Answers

Answer:

Each pizza was $12.55.

Step-by-step explanation:

et's take it piece by piece.

Salad and the tip together is 4.95 + 5 = 9.95, right?

47.60 - 9.95 = 37.65 spent on pizza

37.65/3 = 12.55

One possible integer of x for which 1/4 < k/10 < 1/3 is true?

Answers

Answer:

[tex]\fbox {x = 3}[/tex]

Step-by-step explanation:

Decimal form of the lower and higher limits :

1/4 = 0.251/3 = 0.33...

Hence, the best one which lies in the middle of the limits would be 0.3.

Now, equate the middle part :

x/10 = 0.3x = 3

Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 polnts)
Part B: Solve for k in each type of transformation. (4 points)
Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)

Answers

Horizontal and Vertical translations can transform f(x) to g(x).                                                                                                                                                                                                            

Equations to transform f(x) to g(x) are: g(x) = f(x) + k, and g(x) = f(x + k).

In vertical translation k = 18, and horizontal translation k = 6.

Solution

Equations of the two st. lines

Select two points on the line f(x) viz. (1,2), (2,5).

The equation of the line f(x) is

[tex]\frac{y-2}{x-1} = \frac{5-2}{2-1} \Rightarrow \mathbf{y=3x-1}.[/tex]

Select two points on the line g(x) viz. (-5,2), (-4,5).

The equation of the line g(x) is

[tex]\frac{y-2}{x+5} = \frac{5-2}{-4+5} \Rightarrow \mathbf{y=3x+17}.[/tex]

Ways to transform

The two lines, f(x) and g(x), are parallel to each other so their orientation w.r.t. each other is not changed. f(x), thus, can be translated to obtain g(x).

The translation of f(x) can be done in two ways: Vertical translation, and Horizontal translation.

Horizontal translation

f(x) can be translated horizontally to obtain g(x) by the relation of type g(x) = f(x + k).

Using the above relation for the two lines,

3x + 17 = 3(x + k) -1  ⇒  k = 6.

The horizontal translation relation is g(x) = f(x + 6).

Vertical translation

Vertical translation can be done with the relation g(x) = f(x) + k.

Using the above relation for the two lines,

3x + 17 = 3x - 1 + k  ⇒  k = 18.

The vertical translation relation is g(x) = f(x) + 18.

The two transformation relations are: g(x) = f(x + 6), and g(x) = f(x) + 18.

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In the year 1999, the surface elevation of Lake Powell was 3893 feet above sea level. In the year 2005, the surface elevation of Lake Powell was 3425.6 feet above sea level. Interpret the rate of change in this situation.

Answers

Answer:

Rate of Change = -77.9 feet/year

My interpretation: "Is Bad."

Step-by-step explanation:

The rate of change is the number of feet that Lake Powell dropped, divided by the number of years the drop took place.  We want a value with a unit of feet/year.

Year    Feet

1999     3893

2005    3425.6  

Change

Year = (2005 - 1999)  or 6 years

Feet = (3425.6 - 3893) or -467.4 feet

Rate of Change = (-467.4 feet)/(6 years)

Rate of Change = -77.9 feet/year

=======================

FYI:  Lake Powell is 22.39 feet lower today (June 23, 2022) than it was 1 year ago.

What is the slope of the line thatpasses through these two points?(2,3)(2,9)

Answers

Answer:

The slope is undefined

Step-by-step explanation:

[tex]m=\frac{9-3}{2-2}[/tex]

The denominator leads to 0 so it would not be possible to find the answer

Answer:

undefined

Step-by-step explanation:

anything divided by zero is undefined since you cant logically give (for example) 2 apples to 0 people.

For slopes not so obvious, the formula is (slope)m= (rise)y/(run)x

PLS HELP
Select the correct answer.
Consider function f.
f(x) = 2x²
What is the value of (f of)(x)?
A.
B.
OC.
D.
8x4
16x4
4x4
4x²

Answers

Step-by-step explanation:

[tex]f(x) = 2 {x}^{2} [/tex]

[tex] \: [/tex]

[tex] = (f \circ f)(x)[/tex]

[tex] = f(f(x))[/tex]

[tex] = 2 {x}^{2} [/tex]

[tex] = 2 {(2 {x}^{2} )}^{2} [/tex]

[tex] = 2( {2}^{2} {x}^{2 + 2} )[/tex]

[tex] = 2(4 {x}^{4} )[/tex]

[tex] = 8 {x}^{4} [/tex]

The answer is A.

In the diagram below, Θ is measured in radians. Which equation represents the relationship between the radius, r, and arc length, s?

Circle O is shown. Line segments A O and B O are radii with length r. Angle A O B has a measure of theta. Arc A B has a measure of s.

s = Θ · r
r = Θ · s
s = Θ + r
r = Θ + s

Answers

The equation that represents the relationship between the radius, r, and arc length, s is s = Θ * r

How to determine the arc length?

See attachment for the complete question

From the complete question, we have:

Θ represents the central angler represents the circle radius

The angle is given in radians.

So, the arc length is calculated using

Arc length = Angle * Radius

Substitute known values

s = Θ * r

Hence, the equation that represents the relationship between the radius, r, and arc length, s is s = Θ * r

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Answer:

A

Step-by-step explanation:

On Edge

The Pine Scrub Rail Trail is 126 miles long. If the Willy-Nilly Bike Club rides 18 miles per day, how many days will it take them to ride from one end of the trail to the other?

A. 6 days

B. 9 days

C. 7 days

D. 8 days ​

Answers

126/18=7
it’s C. 7 days
C. 7 days (126miles/18miles per day)

write and solve a proportion to complete the statement. Round to the nearest hundredth if necessary.
1. 6km ≈ ?mi
2. 2.5 L≈ ?gal
3. 90lb ≈ ?kg
pls help

Answers

Using proportion, the equivalent units of the following units are as follows:

6km =  3.73 miles2.5 L = 0.66 gallons 90 Ib = 40.82 kg

How to use proportion to find equivalent units?

Using proportion,

1.60934 km = 1 miles

6 km = ?

cross multiply

distance(m) = 6 / 1.60934 = 3.7282364199 = 3.73 miles

1 litre = 0.264172 gallons

2.5 litres = ?

volume(gallons) = 2.5 × 0.264172 = 0.66 gallons

1 pounds = 0.453592 kg

90 pounds  = ?

weight(kg) = 40.82328 = 40.82 kg

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Celo used the simple interest formula uppercase a = uppercase p (1 r t) to calculate the interest he earned on his savings last month. which equation is equivalent to the simple interest formula? uppercase p = startfraction uppercase a over 1 r t endfraction uppercase p = startfraction 1 r t over uppercase a endfraction uppercase p = uppercase a minus (1 r t) uppercase p = uppercase a (1 r t)

Answers

The equation equivalent to the simple interest formula A = P(1 + rt), that Celo used is P = A/(1 + rt). Hence, the first option is the right choice.

Equivalent equations are the equations that are transformed from one equation to another equation, but the final values they give are equal. It's just the change of the variable on which the equation is derived.

The simple interest equation that Celo used is A = P(1 + rt).

This is currently used to find the final amount A.

On isolating P to one side of the equation in the following ways:

A = P(1 + rt),

or, A/(1 + rt) = {P(1 + rt)}/(1 + rt) {Dividing both sides by (1 + rt)}.

or, A/(1 + rt) = P {Simplifying}.

or, P = A/(1 + rt) {Changing sides}.

Thus, the equation equivalent to the simple interest formula A = P(1 + rt), that Celo used is P = A/(1 + rt). Hence, the first option is the right choice.

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A rectangular parallelepiped has dimensions a, b and c. The volume is 100cm3. A second parallelepiped has dimensions α, β, γ, where α is 50% of a, β is 20% of b and γ is 10% of c. What is the volume of the second parallelepiped in cubic meters?

Answers

The volume of the second parallelepiped will be 1 cm³. According to the given conditions, α is 50% of a, β is 20% of b and γ is 10% of c.

What is volume?

The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic cm.

Given condition;

α is 50% of a, β is 20% of b and γ is 10% of c

α =  a/2

β = b/5

γ = c/10

The volume of the first parallelepiped:

V = abc

100cm³=abc

The volume of the second parallelepiped:

[tex]\rm V'= \alpha \times \beta \times \gamma \\\\ \rm V'= \frac{a}{2} \times \frac{b}{5} \times \frac{c}{10} \\\\ V' = \frac{abc}{100} \\\\ V'=\frac{100}{100} \\\\ V' = 1 cm^3[/tex]

Hence, the volume of the second parallelepiped willl be 1 cubic meter.

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The summer solstice can occur on any day of the week, with each day being
equally likely. What is the probability the summer solstice will occur on a
weekday?
О А.
O B.
7
115
517
O C.
O D. 1/1/20

Answers

The probability that the summer solstice will occur on a weekday is equal to 5/7.

How to calculate the probability?

Generally, there are seven days in a week and two among these days are weekends while five are weekdays. Thus, this can be represented as follows:

Total number of days = 7.Number of weekends = 2.Number of weekdays = 5.

Therefore, the probability that the summer solstice will occur on a weekday is given by:

P = 5/7.

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Guys, can you please help me write an expression for shaded circle and please expand and simplify for me, guys, please? :)

Answers

Answer:

[tex]\sf Shaded \: Area=14 \pi r+49 \pi[/tex]

Step-by-step explanation:

Area of a circle

[tex]\sf A=\pi r^2 \quad \textsf{(where r is the radius)}[/tex]

To find the area of the shaded area, subtract the area of the unshaded circle from the larger circle.

Area of the larger circle

[tex]\implies \sf A=\pi (r+7)^2[/tex]

Area of the smaller (unshaded) circle

[tex]\implies \sf A=\pi r^2[/tex]

Therefore, the area of the shaded area is:

[tex]\implies \sf A=\pi (r+7)^2-\pi r^2[/tex]

Expand and simplify the expression:

[tex]\implies \sf A=\pi (r+7)^2-\pi r^2[/tex]

[tex]\implies \sf A=\pi (r^2+14r+49)-\pi r^2[/tex]

[tex]\implies \sf A=\pi r^2 +14 \pi r +49 \pi -\pi r^2[/tex]

[tex]\implies \sf A=14 \pi r+49 \pi[/tex]

OUTER CIRCLE AREA

π(r+7)²

Inner circle area

πr²

Area of shaded one

π(r+7)²-πr²π(r²+14r+49-r²)π(14r+49)14πr+49π

B. 21cm 32° L 122° D 0 The perimeter of kite LODI is 74 cm. Find:
1. m/LOD=
2. mLODI =
3. Measure of LO = Why?
4.Measure of ID= Why? ​

Answers

1) Angles IDO and ILO are congruent, and both measure 122 degrees. So, as angles in a quadrilateral add to 360°, angle LOD measures 360-122-122-32=84°

2) As referred to in the first question, angle ODI measures 122°

3) In a kite, there are two pairs of disjoint congruent sides. This means that in this case, ID=IL=21 and LO=OD. As the perimeter is 74, this means LO=(74-21(2))/2=16

4) LI=ID, so ID=21

Question 9 of 10
A fellow classmate tosses 3 coins and finds that 2 of them come up tails.
Which of the following is the best conclusion for her to come to?
OA. She needs to keep flipping the coins until she gets 50% heads in
order to determine if they are fair.
OB. If she flips the coins once more, they will all come up heads.
OC. The coins are unfair.
OD. This could easily happen with a fair coin after only 3 flips.

Answers

The best conclusion for her to come to: D. this could easily happen with a fair coin after only 3 flips.

What is a fair coin?

A fair coin can be defined as an idealized type of coin that has an equal probability of revealing both heads and tails when randomly tossed.

This ultimately implies that, the best conclusion for her to come to is that this could easily happen with a fair coin after only 3 flips considering 2 of the three coins come up tails.

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What type of association does the following scatterplot represent?

Answers

Answer:

Positive Linear Association

Step-by-step explanation:

A positive/negative association can be determined by seeing if the slope of the line of best fit is positive or negative. A positive slope indicates a positive relationship and a negative slope indicates a negative relationship.

If y increases as x increases => positive

If y decreases as x increases => negative

In the graph, the line of best fit clearly has a positive slope. I.e. as x increases, y also increases. Therefore, the association is positive.

Next determine if the relationship is linear or nonlinear. A linear relationship can be modeled strongly with a straight line. Anything else is nonlinear. In the graph, a straight line can be draw through the points with a strong correlation, therefore the association is linear.

Therefore, the best answer is Positive Linear Assosciation

Translate this sentence into an equation. the product of jenny's height and 4 is 52.

Answers

Answer:

4J = 52

Step-by-step explanation:

If Jenny's height is J:

4J = 52

Im kinda stuck i no like this type of math help please

Answers

Answer:

EAD

Step-by-step explanation:

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