Solve for x ?

Not drawn to scale

The degrees of freedom in the denominator of the f-statistic calculation is 2.

The number of distinct bits of information required to construct a statistic is called the degrees of freedom, which is frequently denoted by the letters v or df.

For the stated question-

degrees of freedom df = n - 1

n = 3 groups

df = 3 - 1

df = 2

Thus, the degrees of freedom in the denominator of the f-statistic calculation is 2.

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The direct distance from your house to school as calculated from the given data is 0.9434 miles.

Let

the distance walked North = A = 0.8 miles

the distance walked East= B = 0.5 miles

the direct distance between house and school be C

On using pythagoras theorem,

C² = A² + B²

   = 0.8 ²+ 0.5 ²

   = 0.89

C =0.9434 miles

A right triangle's three sides are related in Euclidean geometry by the Pythagorean theorem, also known as Pythagoras' theorem.

According to this rule, the areas of the squares on the other two sides add up to the area of the square whose side is the hypotenuse, or the side across from the right angle. This theorem can be expressed as the Pythagorean equation, which is an equation relating the lengths of the sides a, b, and the hypotenuse c , C² = A² + B².

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Answer:

103

Step-by-step explanation:

[tex]\frac{75}{310} = \frac{25}{p}\\ 25 X \frac{310}{75} = 103[/tex]

Step-by-step explanation

:We have to prove that (a + b + c)³ - a³ - b³ - c³ = 3(a + b ) (b + c) (c + a).

Considering LHS,

LHS : (a + b + c)³ - a³ - b³ - c³

= [(a + b + c)³ - a³] - (b³ + c³)

Using the algebraic identity,

a³ - b³ = (a - b)(a² + b² + ab)

(a + b + c)³ - a³ = ((a + b + c) - a)((a + b + c)² + a² + (a + b + c)a)

Using the algebraic identity,

(x + y + z)² = x² + y² + z² + 2(xy + yz + zx)

= (b + c)(a² + b² + c² + 2(ab + bc + ca) + a² + a² + ab + ac)

= (b + c)(3a² + b² + c² + 3ab + 2bc + 3ac)

Using the algebraic identity,

a³ + b³ = (a + b)(a² + b² - ab)

b³ + c³ = (b + c)(b² + c² - bc)

So, [(a + b + c)³ - a³] - (b³ + c³) = (b + c)(3a² + b² + c² + 3ab + 2bc + 3ac) - [(b + c)(b² + c² - bc)]

= (b + c)[3a² + b² + c² + 3ab + 2bc + 3ac - (b² + c² - bc)]

= (b + c)[3a² + b² + c² + 3ab + 2bc + 3ac - b² - c² + bc]

= (b + c)[3a² + 3ab + 3bc + 3ac]

= (b + c)[3(a² + ab + bc + ac)]

= (b + c)[3(a(a + b) + c(b + a)]

= (b + c)[3(a + c)(a + b)]

= 3(a + b)(b + c)(a + c)

= RHS

Increasing the given sample size will decreases the probability because σx will decreases as n value increases.

In Statistitics whenever we test a hypothesis for testing a statistic, we use confidence interval. Confidence interval is on either side of an assumed value a margin of error. Margin of error is calculated as critical value * sigma/sqrt of n. Thus we find that whenever n increases, margin of error decreases.

Thus making confidence interval narrower and thus making probability for accepting null hypothesis a less value. As the pattern sizes increase, the range of every sampling distribution decreases so they emerge as more and more leptokurtic. The variety of the sampling distribution is smaller than the variety of the authentic populace. Therefore, as a pattern length increases, the pattern imply and general deviation might be nearer in fee to the populace imply μ and general deviation σ.

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The amount of Chemical  B needed is 1.6 g.

This refers to a diagram that shows a series of one or more points, lines, line segments, curves, or areas that represents the variation of a variable when compared with that of one or more other variables.

The quantity of Chemical B is plotted against the quantity of  Chemical A.

Chemical B  is plotted on the vertical axis using the scale of 1 cm to represent 2 units. Chemical A is plotted on the horizontal axis using the scale of 1 cm to represent 1 unit.

Therefore, on the graph, the line passing through the origin of the graph shows that when  1.4 g of Chemical A is used  1.6 g of Chemical B is needed.

Chemical B  is plotted on the vertical axis using the scale of 1  cm to represent 2 units.

To get the amount of Chemical B is  on vertical axis =  2 grams

                                                                                             5 boxes

                                                                                       =0.4 g

Tracing the mass of Chemical A used 1.4 g it meets the line passing through the center at 4th line (4th box).

To get the amount of Chemical B is  on vertical axis = amount of Chemical B per box * the number of line (boxes).

To get the amount of Chemical B is  on vertical axis = 0.4 g * 4 lines (boxes)

                                                                                        = 1.6 g

Hence The amount of Chemical  B needed is 1.6 g.

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Answer:

2,570,869,636 more tickets

Step-by-step explanation:

Answer:

none

Step-by-step explanation: if the person driving is one of the five people than none

Therefore the solution to the given question equation will shift the graph of the original equation up 2 units in  y=2x + 9

equation, a declaration of equivalence between two expressions with variable- and/or number-filled expressions. In essence, equations are questions, and efforts to discover a method for answering them have fueled the growth of mathematics. Equations range in complexity from straightforward addition-and-multiplication equations in mathematics through differential equations, exponential equations that use exponential expressions, and integral equations.

Here,

It follows a linear function. y=mx + b

If A is the location where the y-axis intersects, then x = 0 and y = b are the coordinates of A.

In order to move the graph up by 2 units, you must add 2 units to b.

In our case, b was originally equal to 7, so shifting it up makes b become 7+2=9, and the new function is y=2x + 9.

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Answer:

The answer is 37.5.

Step-by-step explanation:

Answer:

6 drinks

2 boxes of candy

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

Explanation:

x = number of drinks

y = number of boxes of candy

These two variables represent positive integers.

"He bought 3 times as many drinks as candies" which means we can set up the equation x = 3y

-------------

1 drink costs $4.50

x drinks cost 4.50x dollars

1 box of candy costs $3

y boxes of candy cost 3y dollars.

4.50x + 3y = total cost = 33 dollars

Therefore, we arrive at the second equation of 4.50x+3y = 33

-------------

We have this system of equations

[tex]\begin{cases}x = 3y\\4.50x+3y = 33\end{cases}[/tex]

I'll use substitution to solve. Replace x with 3y in the second equation, then isolate y.

[tex]4.50x+3y = 33\\\\4.50(3y)+3y = 33\\\\13.50y+3y = 33\\\\16.50y = 33\\\\y = 33/16.50\\\\y = 2\\\\[/tex]

This tells us he bought 2 boxes of candy.

Use that value to find x.

[tex]x = 3y\\\\x = 3*2\\\\x = 6\\\\[/tex]

Carter also bought 6 drinks.

-------------------------------

Check:

The answers are confirmed.

Another way to confirm the answers is to plug (x,y) = (6,2) into each equation of the system I mentioned earlier. After simplifying, you should get the same thing on both sides.

A visual way to confirm the answers is to graph each equation on the same xy grid. The two lines intersect at (6,2). You can use a graphing tool such as Desmos or GeoGebra.

Answer: False

Step-by-step explanation:

The statement you are giving is for the Geometric Sequence, not the arithmetic sequence. So this is false!

The probability that the first household speaks French, but the second household speaks English, is 0.1449. The correct option is a.

The Probability in mathematics is the possibility of an event in time. In simple words, how many times that incident is happening in any given time interval.

Given:

In Canada, 63% of households speak English as their primary language, and 23% speak French as their primary language.

Let A be the event that the household speaks French and B be the event that the household speaks English.

Converting percentage to decimals,

63% = 0.63

and 23% = 0.23

According to the question,

P (A) = 0.23 and P (B) = 0.63.

Then, the probability that the first household speaks French, but the second household speaks English is,

Probability =(0.23) x (0.63)

                  =0.1449

Therefore, the probability that the first household speaks French, but the second household speaks English is 0.1449.

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Answer:

155 feet

Step-by-step explanation:

the building is 85 feet high that's where drone starts

the drone flies to 120 feet in 10 seconds from 85 feet so the rate equals 35 feet per 10 second

in 20 seconds the drone would be 70 feet higher.

so the final height would be 85 feet plus 70 feet which equals 155 feet.

hope that helps

The result of 45.8*10^3 is going to be 45800. Using mental math, 45.8*0.1 will be 4.58.

A set of abilities known as mental math enable people to perform calculations "in their heads" without the aid of paper and pencil or a calculator. Recalling math information, such as 8 x 5 = 40, is one of these abilities. Rounding numbers and estimating calculations are additional abilities. Mathematical calculations made solely with the human brain, without the aid of any materials or tools like a calculator, are referred to as mental calculations. When computing tools are not available, when mental calculation is quicker than other methods, or even in a competitive setting, people may use it.

Here,

45.8*10³=45800

45.8*0.1=4.58

The value of 45.8*10³ will be 45800. The value of 45.8*0.1 will be 4.58 using mental math.

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Answer:

2

Step-by-step explanation:

it says 3 times the sum of x and 7 equals 27 so 1st divide 27 by 3 which gives you 9 and then subtract 7 which is given and that gives you 2 for your answer

Answer:

y = -5x -2

Step-by-step explanation:

Equation y=mx+b

Slope m=(y2-y1)/(x2-x1)

Slope m=(-7- -2)/(1 - 0)

Slope m=(-7 + 2)/(1 - 0)

Slope m=(-5)/(1)

Slope m= -5

Point-slope form = y − y 1 = m ( x − x 1 )

Point-slope form = y − -2 = -5 ( x − 0 )

Point-slope form = y + 2 = -5x − 0

Point-slope form = y = -5x -2

byuiedu

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By adding the given fractions, we can see that 11/15 of the friends bought food, and 4/15 bought drinks.

We know that 2/5 of the group bought a hamburger, and 1/3 of them bought chips.

Then the total fraction of friends who bought food is given by the addition of the two fractions above.

2/5 + 1/3

finding a common denominator we will get:

(3/3)*(2/5) + (5/5)*(1/3)

6/15 + 5/15

11/15

So 11/15 of the friends bought food, and the rest:

4/15 bought drinks.

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Answer:117.7

Step-by-step explanation: m is 13/40, I converted that to decimal form which was .325. I then multiplied 362 by .325 to get 117.65, then rounded to the nearest tenth

Answer: 3150 is the answer

Step-by-step explanation:

Answer:

3,112,136

Step-by-step explanation:

x=2

replace x with 2

2+2=4

150-4= 146

146 to the third power is 146 x 146 x 146

146 x 146 x 146 = 3112136

hope this helps, tell me if i'm wrong

Therefore , the percentage of case 1 is 68% and percentage of case 2 is 47.4%

One percent (symbolized as 1%), being the hundredth component, is represented as 100 percent, while 200 percent signifies twice the amount specified. As an illustration, 1% of 1,000 chickens is equal to 1/100 of 1,000, or 10 birds, and 20% of the quantity is equal to 20% of 1,000, or 200.

Here,

Given: Total number of freshman =500

mean =75 and standard deviation =7

a) the percentage of scores that fell between 68 and 82

340 is the number of freshman whose  scores that fell between 68 and 82

thus,

percentage = 340 /500 * 100

=> percentage = 68%

b)the percentage of scores that fell between 61 and 75

237 is the number of freshman whose  scores that fell between 61 and 75

thus,

percentage = 237/500 * 100

=> percentage = 47.4%

Therefore , the percentage of case 1 is 68% and percentage of case 2 is 47.4%

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Answer:

140 hamburgers

Step-by-step explanation:

to find the answer we must first use a let statement and write an equation

let x = hamburgers

hamburgers * 2 is cheeseburgers and added together that is 420

so

x + 2x = 420

now solve

3x = 420

x = 140

140 hamburgers were sold

Answer:

Step-by-step explanation:

240 divided by 3= 80

80+80=160

160 hamburgers sold altogether on Wednesday.

There are 720 different ways can a race with 6 runners be completed.

What is a combination?

The process of combining or the condition of combining. a combination of things; an amalgamation of concepts. a grouping of notes: A chord is a grouping of notes. a grouping of people or entities acting together to impede commerce.

Here, we have

The winner can be chosen from all 6 runners, the second person can be chosen from 5 people, the third - from 4, and so on.

So the total number of possible results can be calculated as:

n = 6×5×4×3×2×1= 6!

= 720

Hence, there are 720 different ways can a race with 6 runners be completed.

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Lines a, b, and c are parallel, and d and e are also parallel to each other.

No matter how far they may reach in either direction, parallel lines are ones that are equidistant from one another and never cross. Parallel lines are any two or more lines that all lie in the same plane and never cross one another. They are equally spaced apart and have the same incline. In this essay, let's study more about parallel lines.

Given the 5 lines and the angles made by them,

if ∠1 = ∠3 then a║b Because they intersect on the same line.

if ∠4 = ∠6 then c║b Because they intersect on the same line.

if ∠1 = ∠7, ∠2 = ∠8,  ∠23 = ∠5, ∠11 = ∠17, ∠2 = ∠8, ∠24 = ∠18, ∠6 = ∠12, and some more than d║e Because they intersect on the same line.

Therefore from the above figure, if two lines intersect another line with the same angle then they are parallel lines.

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Answer:

12

Step-by-step explanation:

14 + 7 = 21

14 / 21 = ⅔

AE = 18

x / 18 = ⅔

x = 18 x ⅔

x = 12

The expression after simplifying with the first rule of radicals is 9√5.

A square is a two-dimensional figure that has four sides and all four sides are equal.

The area of a square is side²

We have,

Area of a square = side² _______(1)

Area = 405 square feet _______(2)

From (1) and (2) we get,

405 square feet = Side²

Side = √405 feet

[ 405 = 81 x 5 ]

Side = √(81 x 5)

[ 9² = 81 ]

Side = 9√5

Thus,

The side length is 9√5 feet.

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