A researcher wanted to see if different breeds of dogs preferred toys of certain colors. The researcher presented each dog with 3 toys, identical except that each was a different color, and recorded which toy the dog played with the most in a set time period. Here are the outcomes and partial results of a chi-square test (expected counts appear below observed counts):

Answer:

Interquartile Range

Step-by-step explanation:

The answer is the interquartile range because there is an outlier.

The data has an extreme value, of 62, so the IQR is most appropriate for this data set. The only other time the IQR is appropriate is when the data is skewed.

Answer:

$ 15.00

Step-by-step explanation:

9.95  is JUST about 10

5.25 is close to 5

                      10 + 5 = 15

An expression is defined as a set of numbers, variables, and mathematical operations. The algebraic expression that can represent the product of W and 9 is 9W.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The phrase "the product of W and 9" in the form of an algebraic expression can be written as,

Expression = 9 × W = 9W

Hence, the algebraic expression that can represent the product of W and 9 is 9W.

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Answer:

[tex]y : \frac{1}{5} x + \frac{12}{5}[/tex]

Step-by-step explanation:

the slope of the line AC :

[tex]\frac{6-1}{1-2} = \frac{5}{-1} =-5[/tex]

Let y : mx + p be the equation of the line D passing through B and perpendicular to AC.

Where m is the slope and p is the y value of the y intercept point.

The line D is perpendicular to AC means the product of their slopes is −1

Therefore

(−5) × m = −1

Then

[tex]m=\frac{-1}{-5} =\frac{1}{5}[/tex]

We obtain, the equation of D is :

[tex]y : \frac{1}{5} x + p[/tex]

At this point ,we still need the value of p to get the full equation of D.

B(3, 3)∈ D

[tex]3=\frac{1}{5} \left( 3\right) +p[/tex]

[tex]\Longleftrightarrow p=3-\frac{3}{5} =\frac{12}{5} =2.4[/tex]

thus , the equation of D is :

[tex]y : \frac{1}{5} x + \frac{12}{5}[/tex]

Yes it's possible through matrix

Let's find out the area formula for our vertices

That's

[tex]\\ \rm\Rrightarrow \left|\begin{array}{ccc}\rm 2&\rm 1&\rm 1\\ \rm 3&\rm 3&\rm 1\\ \rm 1&\rm 6&\rm 1\end{array}\right|[/tex]

The determinant values modulus is the area

Slope of AC

Perpendicular lines have slopes negative reciprocal to each other

So

Equation in point slope

Answer:

It's B

Step-by-step explanation:

Source: Trust me bro

Plus I just got done doing it

Answer:

21 mm

Step-by-step explanation:

Given,

Volume of cone ( V ) = 2307.9 mm³

Height ( h ) = 5 mm

To find : Radius ( r )

Formula : -

Volume of cone = πh/3 r²

Note : -

The value of π is 3.14

Volume of cone = πh/3 r²

2307.9 mm³ = 3.14 x 5/3 x r²

2307.9 = 5.23 x r²

Divide 5.23 on both sides,

r² = 2307.9 / 5.23

r² = 441

r² = 21 x 21

r² = 21²

r = 21 mm

The correct answers: tan 120= -√3.

The correct answer is (E)

Angles are the angles between  bisecting lines or surfaces at or near their meeting point.

Given : [tex]\theta\\[/tex] = 2π/3

               = 2*180/3= 120

So, First and the fourth statement is not correct.

and, cos 120= -1/2

sin 120= √3/2

So, B and D statement is also wrong

tan 120= -√3.

Hence, the only correct statement is tan 120= -√3.

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Answer:

The answer is 3 or x<3.

Answer:

See below

Step-by-step explanation:

Circle equation standard form

(x-h)^2 + ( y-k)^2 = r^2       h, k is the center

All are centered at 0,0    

radii are  sqrt(225)  = 15    sqrt 49 = 7      and    sqrt 178

Answer:

7

Step-by-step explanation:

its a trick question !!

Answer:

This seems like a tricky question... i keep second guessing myself but here goes nothing....

7 servings

please read the explanation.... it always helps....

Step-by-step explanation:

Okay... so we know from the problem that each serving takes one full cup of sauce, and we also know that Grace has seven cups of sauce.... therefore we can conclude that she can make seven servings since 7/1 is 7.

Im not really sure why the question tells us that she uses a 1/3 scoop when we don't really need that when solving the question (which is why i am second guessing myself, but oh well)

i really hope this helps!!!

Answer:(approx) 6.

Step-by-step explanation:Here μ=51 and σ=15

Z=

σ

X−μ

​

=

15

X−151

​

When X=120, Z=

15

120−151

​

=−2.067

When X=155, Z=

15

155−151

​

=0.2667

When X=185, Z=

15

185−151

​

=

15

35

​

=2.2667

(i) P(120<X<155)=P(−2.07<Z<0.27)

=∫

−2.067

0.2667

​

ϕ(z)dz=∫

0

0.2667

​

ϕ(z)dz+∫

0

2.0667

​

ϕ(z)dz

=0.4803+0.1026=0.5829.

Here N=500

∴ The number of students whose weight is between 120 and 155 pounds is

0.5872×500=291

(ii) P(X<185)=P(Z>2.27)=∫

2.2667

∞

​

ϕ(z)dz

=∫

0

∞

​

ϕ(z)dz−∫

0

2.2667

​

ϕ(z)dz=0.5−0.4881=0.0119

∴ the number of students with weight about 185 pounds.

=0.0119×500= (approx) 6.

Answer:

I think you just have to multiply 0.75 and 1.8 then divided with 1.62.

Step-by-step explanation:

0.75*1.8=a

1.62/a= answer?

Answer:

the answer in 1.2 i just took the unit test on K12

The most likely formats used in an observation checklist includes the video recording and audio recording.

This refers to the list of things that an observer is going to look at when observing a class or sample elements.

Most time, the checklists techniques are put in a sequenced way to observe and evaluates the samples from one point to another.

Therefore, the Option A is correct.

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Too make this easier for me or others 3/4 can be represented as 0.75. 3/4 or 0.75 x 16 = 12

More depth explanation:

Multiple: 3/

4

* 16 = 3 · 16/

4 · 1

= 48/

4

= 12 · 4/

1 · 4

= 12

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(48, 4) = 4. In the following intermediate step, cancel by a common factor of 4 gives 12/

1

.

In other words - three quarters multiplied by sixteen = twelve.

Step-by-step explanation:

1)

SOLUTION

5(x+5) = 6. (6 +9)

90 = 5x + 25

13 = x

2)

SOLUTION

x (3) = (4) (6)

3x = 24

x= 8

3)

SOLUTION

3 (3 + x + 2) = (x+1)(x + 1 + x – 1) Use Theorem

3x + 15=2x²+2x

0 = 2x² – x – 15

0 = (x – 3) (2x + 5) Solve for x

3 = x Use positivesolution

The measure of each of the interior angles of the regular hexagon using the Polygon Interior Angle Sum Theorem is 120°.

A polygon is a planar figure characterized by a limited number of straight-line segments joined to create a closed polygonal chain in geometry. A polygon is defined as a bounded planar region, a bounding circuit, or both.

The sum of the interior angle of a polygon with 'n' number of sides is given by the formula,

The sum of the interior angle = (n-2)×180°

As it is known that a hexagon has 6 number of sides, therefore, the sum of the interior angles can be written as,

The sum of the interior angle of Hexagon = (6-2)×180° = 720°

Now, the measure of each interior angle = (720°/6) = 120°

Hence, the measure of each of the interior angles of the regular hexagon using the Polygon Interior Angle Sum Theorem is 120°.

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For this case we have the following notation:

y= the number of minutes that you read

x = the number of minutes that your brother read

And we have that you decide to read 30 minutes longer than your brother, so the equation would be:

y = x+30

And for the other part of the question if x =15 we got:

y = 15+30 = 45

Assuming this complete question: "You and your brother are reading the same novel. You want to get ahead of him in the book, so you decide to read 30 minutes longer than your brother reads. Write an equation for the number of minutes you read, y, when your brother reads x number of minutes.

How many minutes will you read if your brother reads for 15 minutes?"

For this case we have the following notation:

y= the number of minutes that you read

x = the number of minutes that your brother read

And we have that you decide to read 30 minutes longer than your brother, so the equation would be:

y = x+30

And for the other part of the question if x =15 we got:

y = 15+30 = 45

Answer:

2 days

Step-by-step explanation:

Understanding :

Solving :

Answer:

3(3z + 5)

Step-by-step explanation:

You have to factor out 3 from 9z+15 :)

Please mark brainliest

The radius of the given cylinder of volume 847π yds³ and height of 7 yards is 11 yards

From the question, we are to calculate the radius of the cylinder

The volume of a cylinder is given by the formula,

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

Where V is the volume

r is the radius

and h is the height

From the given information,

V = 847π yds³

h = 7 yds

Putting the parameters into the equation, we get

[tex]847\pi = \pi r^{2} \times 7[/tex]

[tex]7r^{2} = 847[/tex]

[tex]r^{2} = \frac{847}{7}[/tex]

[tex]r^{2} = 121[/tex]

[tex]r =\sqrt{121}[/tex]

r = 11 yards

Hence, the radius of the given cylinder is 11 yards.

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The cost of wallpaper used to cover all sides of the storage box is given by $3 per square foot

Surface area of a box = 2(lh + wh + lw)

= 2(9×5 + 8×5 + 9×8)

= 2(45 + 40 + 72)

= 2(157)

= 314 square foot

Cost of wallpaper per square foot = $942 ÷ 314 square foot

= $3 per square foot

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Answer:

It's 8 yuan per hour in company A and 9 yuan per hour in company B

Answer: It finally let me answer this. Give me brainliset if another person answers. You have to make a bar graph and then put the same info on it.

Answer:

415.63

Step-by-step explanation:

Multiply the price by the sales tax to find out how much money the sales tax will add.

Answer:

$415.63

Step-by-step explanation:

475

after 30%

475 times .30 = 142 5

475 - 142.5 = 332.5 <- sale price

332.5 times .25 = 83.125

332.5 + 83.125 = 415.625 <- new price

Answer:

Rs. 180

Step-by-step explanation:

This is a proportion problem.

We are told that 2 dolls cost Rs. 120

Thus;

Cost of 1 doll = 120/2 = Rs. 60 per doll

Then;

Cost of 3 dolls = Rs. 60 * 3 = Rs. 180

Answer:

9

Step-by-step explanation:

x= 430/46

x=9.35 approximately 9( nearest whole number)

Answer:

[tex]A_{total} = 16\ cm^2[/tex]

Step-by-step explanation:

Step 1:  Determine the area of the top rectangle

We can tell that the total shape seems like two rectangles glued together.  We can separate the top rectangle and determine the area of it and then determine the area of the bottom rectangle and combine them.  Lets first solve the left rectangle.

[tex]A=l*w[/tex]

[tex]A_{top\ rectangle}=6\ cm * 2\ cm[/tex]

[tex]A_{top\ rectangle}=12\ cm^2[/tex]

Step 2:  Determine the area of the bottom rectangle

[tex]A=l*w[/tex]

[tex]A_{bottom\ rectangle}=2\ cm * 2\ cm[/tex]

[tex]A_{bottom\ rectangle}=4\ cm^2[/tex]

Step 3:  Determine the total area

[tex]A_{total}=A_{top\ rectangle}+A_{bottom\ rectangle}[/tex]

[tex]A_{total}=12\ cm^2+4\ cm^2[/tex]

[tex]A_{total} = 16\ cm^2[/tex]

Answer:  [tex]A_{total} = 16\ cm^2[/tex]

Break in middle horizontally

For square (Below)

For rectangle

Total area

Answer:

Jake

Step-by-step explanation:

Answer:

Step-by-step explanation:

Remark

The sine of an angle involves the Hypotenuse. So the first job is to find that.

When you do Sin(H) = opposite / hypotenuse

Hypotenuse

Givens

a = √3

b = √13

c = ?

c is the hypotenuse.

Equation

c^2 = a^2 + b^2                  Substitute values

Solution

c^2 = (√3)^2 + (√13)^2

c^2 = 3 + 13                         Combine

c^2 = 16                               Take the Square Root of Both Sides

√c^2 = √16      

c = 4

Sin(H) = opposite / Hypotenuse

Opposite = √3

Hypotenuse = 4

Sin(H) = √3/4

Sin(H) = 1.7321/4

Sin(H) = 0.4330

Answer

Sin(H) = 0.43