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The p-value is 0.622 for the sample of this insect was randomly chosen and it was observed that 42 had black wings, 38 had red wings, and 10 had yellow wings.

A hypothesis testing method is the Chi-square test. Two popular Chi-square tests involve comparing observed and expected frequencies in one or more categories.

The expected proportions are:

3/7, 3/7, 1/7 respectively

Test stasisttics = 0.978

Df = n -1 = 3 - 1 = 2

P-value = 0.622

Thus, the p-value is 0.622 for the sample of this insect was randomly chosen and it was observed that 42 had black wings, 38 had red wings, and 10 had yellow wings.

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The function t(x) = (x-4)² + 3 is a quadratic function.

A quadratic function has a leading exponent of 2

This means that the highest power of a quadratic function is 2

From the list of given options, the function t(x) = (x-4)² + 3 has a leading exponent of 2

Hence, the function t(x) = (x-4)² + 3 is a quadratic function.

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Step-by-step explanation:

[tex] - \sqrt{2 } \div 2[/tex]

Use the unit circle to help you!

Answer:

here!

Step-by-step explanation:

Properties/Rules Exponents Logarithms

Product Rule xp.xq = xp+q loga(mn) = logam + logan

Quotient Rule xp/xq = xp-q loga(m/n) = logam – logan

Power Rule (xp)q = xpq logamn = n logam

Answer:

12 more laps to go

Step-by-step explanation:

8 = 40 % of x

.40 x = 8

x  8 / .4 = 20

 he has already ridden 8, so 12 more to go

:} Im sorry i dont know

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The rule for the transformation for the provided figure shown in the graph is f(x , y) = (y , x), as it is

Transformation of a figure is to change the size, shape or the position of a figure to create a new figure for required use.

The reflection of a plane or shape is flipping the original figure with respect to a reference line. The rule of reflection about x and y-axis is given below,

The given figure in the graph is reflected about y-axis. Thus, the rule for the transformation is,

[tex]f(x , y) = (-x , y)[/tex]

Hence, the rule for the transformation for the provided figure shown in the graph is f(x , y) = (y , x), as it is

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Answer:

x=-2 you just put the equation on the computer

Given x = acos³θ , y = asin³θ

Diffrentiating w.r.t. θ

dx/dθ = -3acos²θsinθ ____(1)

dy/dθ = 3asin²θcosθ ______(2)

diving (2) by (1)

dy/dθ ×dθ/dx = -( 3asin²θ cosθ /3acos²θsinθ )

dy/dx = - tanθ

dy/dx = slope of tangent = -tanθ

putting θ = π/4

∴ dy/dx =- tanπ/4 = -1

but , slope of normal = - 1/slope of tangent

∵ slope of normal = -1/-1 = 1

∴ slope of normal = 1 Answer

Answer:

Slope of normal = 1

Step-by-step explanation:

   [tex]\sf x =aCos^3 \ \theta\\\\\dfrac{dy}{d \theta} = a*3Cos^2 \ \theta (-Sin \ \theta)\\[/tex]

         [tex]\sf = -3aCos^2 \ \theta *Sin \ \theta[/tex]

[tex]\sf y =aSin^3 \ \theta\\\\\dfrac{dy}{d\theta}=a*3Sin^2 \ \theta*(Cos \ \theta)\\\dfrac{dy}{d\theta}=3aSin^2 \ \theta*Cos \ \theta[/tex]

          [tex]\sf Slope \ of \ Tangent = \dfrac{dy}{dx} =\dfrac{dy}{d\theta} \div \dfrac{dx}{d\theta}[/tex]

                    [tex]\sf = \dfrac{3aSin^2 \ \theta \ Cos \ \theta}{-3aCos^2 \ \theta \ Sin \ \theta}\\\\ = \dfrac{-Sin \ \theta}{Cos \ \theta}\\\\= -tan \ \theta[/tex]

[tex]\theta = \dfrac{\pi }{4}\\\\-tan\ \theta = -tan \ \dfrac{\pi }{4} \\\boxed{tan \ \dfrac{\pi }{4}=-1}[/tex]

Slope of tangent * slope of normal = -1

                                [tex]\boxed{\text{Slope of normal =$\dfrac{-1}{Slope \ of \ tangent}$}}[/tex]

[tex]\sf \text{Slope of normal=\dfrac{-1}{-1}}[/tex][tex]\sf Slope \ of \ normal =\dfrac{-1}{-1}[/tex]

                        = 1

Answer:

option B is correct answer

Answer:

1,000,000,000

Step-by-step explanation:

Answer:

8 1/6

Step-by-step explanation:

4 1/2 + 3 2/3

convert to improper fractions

9/2 + 11/3

find lcm

27+22/6

49/6

convert back to mixed

8 1/6

Answer:

step by step

Step-by-step explanation:

12+12__12john

Answer:

a=80° b=40°

Step-by-step explanation:

a=80 (vertically opposite angles )

a+b+90+150 = 360° ( angle sum property of quadrilateral )

80+b+90+150 = 360

b+ 320 = 360

b= 360-320

b=40°

Answer:

1/2 of (13miles) ×18

Step-by-step explanation:

Olivia Charles Reese

13miles (13miles) ×18 1/2 of(13×18)

234miles 117miles

Answer: 5/6

Step-by-step explanation: P(6) = 1/6 and P(not a 6) is 1 - P(6)

1-1/6 =5/6

Answer:

69.71%

Hope this helps!

Answer: 69.7142857%

Step-by-step explanation:

Answer:

i dont eather i need to know the ?

Step-by-step explanation:

Answer:

x = ±6

Step-by-step explanation:

→ Add 12 to both sides

1/3 x² = 12

→ Multiply both sides by 3

x² = 36

→ Square root both sides

x = ±6

The volume of a rectangular prism with base of 5 cm by 6 cm with a height of 12 cm is 360 cm³

An equation is an expression that shows the relationship between two or more numbers and variables.

The volume of the rectangular prism = length * width * height = 5 cm * 6 cm * 12 cm = 360 cm³

The volume of a rectangular prism with base of 5 cm by 6 cm with a height of 12 cm is 360 cm³

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Answer:

A

Step-by-step explanation:

The denominator does not change....just add the numerators

(x-2)  - ( x^2-2x+6)

x -2 - x^2 + 2x - 6   = -x^2 + 3x -8  

Answer:

x=4

Step-by-step explanation:

y=68 and x=17

68/17=4

y=16 and x=?

16/4=4

x=4

Answer:

5.436564x^14905

The number of days that had either rain or high winds for the considered case is 77

For two subsets A and B of the universal set U, we have:

[tex]n(A \cup B) = n(A) + n(B) - n(A \cap B)[/tex]

Assume that:

A and B be the subsets of what happens on each day.

Then in the days of last several weeks , we take:

then, as per the data given, we get:

Thus, we get:

[tex]n(A \cup B) = n(A) + n(B) - n(A \cap B)\\n(A \cup B) = 67 + 23 - 13 = 77[/tex]

Thus, n(A ∪B) = number of days seeing either rain or high winds = 77

Thus, the number of days that had either rain or high winds for the considered case is 77

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Answer:

six teaspoons

Step-by-step explanation:

12 fish tanks, each 20 quarts

12x20=240 quarts in 12 tanks

we need to convert quarts to gallons

4 quarts equal one gallon, so

240/4=60 gallons in 12 tanks

60 gallons divided by every 10 gallons equal six teaspoons.

Answer:

10 miles

Step-by-step explanation:

3600 ÷ 90 is 40 then 40÷4 is 10

Answer: 1/6mile

Step-by-step explanation:

¼mile in 1½hr

In 1½hr He biked ¼mile

in 1hr He biked ¼ ÷ 1½

¼ ÷ 1½

¼ ÷ 3/2

¼ × ⅔ = 2/12 = ⅙mile

Answer:

4 For Small

8 For big

Step-by-step explanation:

80 Square Inches in terms of pie, since one of the radius points are 2 times the other we can setup a equation

(Leaving out pi for simplicity)

R^2 + 2R^2= 80

Now since R is doubled in spot we can plug in points until we get the answer

1:2 (Too small)

2:4 (Too Small)

3:6 (Too small)

4:8 (Fits)

If we plug 4 for R it satisfies the equation for our criteria.

Answer:

B.The exponent of the solution is –12, the difference of the original exponents.

C.The coefficient of the solution must be greater than or equal to one but less than 10.

D.The quotient is 3.0 ×

Step-by-step explanation:

The answer is B, C, D :)

Thanks to the person above me have a good day

Correct on edge 2022 :).

Answer:

[tex]y = 2x + 2[/tex]

Step-by-step explanation:

[tex]euation \: of \: a \: line \: has \: the \: forula \\ y - y1 = m(x - x1) \\ where \: m = slope \\ m = \frac{y2 - y1}{x2 - x1} = \frac{ - 6 - - 4}{ - 4 - - 3} \\ = \frac{ - 6 + 4}{ - 4 + 3} = \frac{ - 2}{ - 1} = 2 \\ now \: putting \: m = 2 \: into \: the \: equation \\ y - - 4 = 2(x - - 3) \\ y + 4 = 2(x + 3) \\ y + 4 = 2x + 6 \\ y = 2x + 6 - 4 \\ y = 2x + 2[/tex]

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