PLEASE PLEASE PLEASE
HELP ME!!!!!

Formula. Binomial theorem:

\((x + y)^ n = C(n,0) x^{ny}^{0} + C(n,1)x^{(n-1)} \ \ y + C(n,2)x^{(n-2)} \ y^2 + ...+ C(n,n+1)xy^{(n-1)} + C(n,n)x^{0y}^n\)

So, for n = 5:

\((x + 2)^5 = C(5,0)x^5 + C(5,1)x^4 \ . \ 2 + C(5,2) x^3 \ . \ 2^2 + C(5,3)x^2 \ . \ 2^3 + C(5,4)x \ . \ 2^4 + C(5,5) \ . \ 2^5\)

So, the third term is \(\bold{C(5,2)x^3 2^2}\)

To determine if the observed data supports the geneticist's claim, we should use the Chi-square test for goodness of fit. .

This test will help we compare the observed frequencies of the four species in your sample with the expected frequencies based on the ratio 1:3:3:9.

1. Calculate the expected frequencies based on the ratio 1:3:3:9.
  Total ratio = 1+3+3+9 = 16
  Expected frequency of Species 1 = (1/16) * 4000 = 250
  Expected frequency of Species 2 = (3/16) * 4000 = 750
  Expected frequency of Species 3 = (3/16) * 4000 = 750
  Expected frequency of Species 4 = (9/16) * 4000 = 2250
2. Compute the Chi-square statistic using the formula:
  χ² = Σ [(Observed - Expected)² / Expected]
  χ² = (226-250)²/250 + (764-750)²/750 + (733-750)²/750 + (2277-2250)²/2250
  χ² = 2.304 + 0.2667 + 0.3067 + 0.3244
  χ² = 3.202
3. Determine the degrees of freedom (df) using the formula:
  df = Number of categories - 1
  df = 4 - 1 = 3
4. Choose a significance level (usually 0.05) and compare the calculated χ² value to the critical value from the Chi-square distribution table.  

5. If the calculated χ² value is less than or equal to the critical value, you cannot reject the null hypothesis, meaning the observed data is consistent with the geneticist's claim.

If the calculated χ² value is greater than the critical value, you can reject the null hypothesis, meaning the observed data does not support the geneticist's claim.

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The limit is ∫₀¹ [7x + 8x²] dx = 77/12

To find the height of the kth rectangle, we need to evaluate the function at the left endpoint of the kth subinterval, which is (k-1)/n. So the formula for the c-value in the kth subinterval is (k-1)/n.

Now we can write down a Riemann sum for f(x) over the given interval using the values we calculated above. The Riemann sum is:

Σ [f((k-1)/n) * (1/n)]

where the sum is taken from k=1 to k=n.

To simplify this expression, we can use the formulas:

Σ k = n(n+1)/2

Σ k² = n(n+1)(2n+1)/6

Using these formulas, we can rewrite the Riemann sum as:

[7/2n + 8/3n²] Σ k² + [7/n] Σ k

where the sum is taken from k=1 to k=n.

Finally, we can compute the limit of this expression as n approaches infinity to find the area under the curve. The limit is:

∫₀¹ [7x + 8x²] dx = 77/12

which is the exact value of the area under the curve.

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Answer:

$880

Step-by-step explanation:

\(p( {1.031}^{20} ) = 1620\)

\(p = \frac{1620}{ {1.031}^{20} } = 879.71\)

To the nearest dollar: $880

Answer:

8p+5p

=13p

=6a-5b procesa

Answer:

im really bad at math but here

Step-by-step explanation:

hi my  

Answer:

If you want to derive an equation from the question, you answer is:

3*x+4<-62

If you want the solved equation for x, your answer is:

x<-22

(Depending on what your question is)

Step-by-step explanation:

For the first answer, you can represent the unknown number as x. Three times is equivalent to 3 multiply, so it will look like 3*x, or just 3x. Increased by four is just adding four, so your equation will now look like 3x+4. Less than -62 is just 3x+4<-62. To solve future problems, just carefully look at the words. Does it mention divided by? Maybe decreased? Carefully look and analyze the question and plug in the operators, variables, and numbers.

For the second solution, since we've already translated the question to an equation from above, we can solve the equation we've derived, which is 3x+4<-62. Subtract four on both sides. The equation will look like this: 3x+4-4<-62-4. Simplifying, we get 3x<-66. Next, we divide both sides of the equation by 3, and we will get x<-22.

Good luck on your studies!

(I may be young but I know stuff so you can trust me :) )

Answer:

a) 67

b) 122

c) que angulo

d) 40

Step-by-step explanation:

Answer:

U got it correct

Step-by-step explanation:

The angles that cannot be an interior angle in a regular polygon are 40 72° 108° 148°

A polygon is a closed polygonal chain made up of a limited number of straight line segments and is a type of planar figure in geometry. A polygon is an area that is bordered by a bounding circuit, a bounding plane, or both. A polygonal circuit's segments are referred to as its edges or sides.

A regular polygon has equal internal angles all around. A polygon's interior angle is calculated using the following formula: interior angle of a polygon = sum of interior angles number of sides. The total of a polygon's outer angles is 360°.

Given the different angles in degree.

We have to find angle which can't be interior angle in a regular polygon

We apply the formula for each angle = (n - 2) 180 / n to determine the size of each interior angle of a regular polygon.

Let the interior angle be  108 degree

(n - 2) 180 / n = 108

n = 0.5 not possible

Let the interior angle be  148 degree and 179 degree

(n - 2) 180 / n = 148

n = 1.125 not possible

(n - 2) 180 / n = 179

n = 36 possible

Let the interior angle be  40 degree and 72 degree

(n - 2) 180 / n = 40

n = 0.9 not possible

(n - 2) 180 / n = 72

n = 0.33 not possible

Hence angles that cannot be an interior angle in a regular polygon are 40 72° 108° 148°

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The angles that cannot be an interior angle

in a regular polygon are 40 72° 108° 148°

A polygon is a planar figure in which closed polygonal chain made up of a limited number of straight line. A polygon is an area that is bounded by a bounding circuit or a bounding plane or both.

A regular polygon is a polygon which has equal internal angles all around it.

In a polygon, the interior angle = sum of interior angles number of sides.

Total outer angle of a polygon is 360°.

Here we have to find the angle which can't be an interior angle of a regular polygon.

The size of each interior angle of a regular polygon = [(n-2)×180°] /n

1. 108 degree

[(n-2)×180°] /n = 108

180n - 360 = 108n

72n=360

n = 0.2 This is not possible since n is a natural number

2. 148 degree

[(n-2)×180°] /n = 148

180n - 360 = 148n

72n=360

n = 0.2 This is not possible since n is a natural number

Let the interior angle be 148 degree and 179 degree

(n-2) 180 / n = 148

n = 1.125 not possible

(n-2) 180 / n = 179

n = 36 possible

Let the interior angle be 40 degree and 72 degree

(n-2) 180 / n = 40

n = 0.9 not possible (n-2) 180 / n = 72

n = 0.33 not possible

Hence angles that cannot be an interior angle in a regular polygon are 40 72° 108° 148°

The distance between the two points is of \(\sqrt{130}\), using the Pythagorean Theorem.

The Pythagorean Theorem is a geometry axiom relating the length of the legs \(l_1\) and \(l_2\) of a right triangle(triangle with an angle of 90º) with the length of the hypotenuse h, stating that the hypotenuse squared is the sum of the legs squared, according to the following equation:

\(h^2 = l_1^2 + l_2^2\)

In this problem, the legs of the triangle are given by the side lengths, as follows:

The hypotenuse given the distance between the two points, and is calculated as follows:

h² = 7² + 9²

h² = 130

h = sqrt(130)

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Answer:

C ≈ 79.44 inches

Step-by-step explanation:

the circumference (C) of a circle is calculated as

C = πd ( d is the diameter ) ( using π ≈ 3.14 ) , then

C = 3.14 × 25.3 ≈ 79.44 inches ( to the nearest hundredth )

Answer:

The answer is 3

Step-by-step explanation:

3×3×3=27

Answer:

the answer is 100% 3

Step-by-step explanation:

Answer:

1.25

Step-by-step explanation:

The numbers on the left are divided by 4 to get the numbers on the right

100/4  = 25

So 5/4 = 1.25

The apothem is the perpendicular distance from the center of a regular polygon to any one of its sides.

A closed, two-dimensional, flat or planar structure with straight sides is referred to as a polygon. Its sides do not bend in any way. A polygon's sides are also referred to as its edges. A polygon's vertices (or corners) are the places where two sides converge. Polygons and polyhedrons are two names for geometric shapes having three or more sides. The names of a few polygons are listed below. In order to link and develop projects and blockchains that are compatible with Ethereum, Polygon (MATIC), a cryptocurrency and technological platform, was introduced. A fully closed polygon is a flat, two-dimensional form with straight sides. They must have straight sides. Any number of sides can be found in polygons.

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Answer:

volume is 320

area of base is 96

Step-by-step explanation:

tell me in the comment if u need an explanation

Answer:

2

Step-by-step explanation:

12:1,2,3,4,6,12

18:1,2,3,6,9,18

32:1,2,4,8,16,32

h.c.f = 2

Answer:

A

Step-by-step explanation:

The answer is A because slope is the coefficient of the x variable (or the number in front of X). hope this helps!

The basic connections required to get the volume flow from a horizontal circular pipe are; one upstream tap and one downstream tap connected to a differential pressure sensor.

A throttle flange is installed in the pipeline to measure the volume flow of water. The throttle flange creates a localized reduction in the pipe's diameter, increasing the water's velocity and reducing its pressure.The differential pressure sensor measures the difference in pressure between the upstream and downstream taps. Using Bernoulli's equation, the volume flow rate of water through the pipe can be calculated. The equation is given by:

V = (Cv * √ΔP) / (ρ * √(1 - d^4 / D^4))

Where,V = volume flow rate of water

Cv = valve flow coefficient

ΔP = differential pressure

ρ = density of water

d = diameter of the throttle flange

D = diameter of the pipe

The magnitude that needs to be measured is the differential pressure across the throttle flange. The general measuring principle is to create a localized reduction in the pipe's diameter, increasing the water's velocity and reducing its pressure.

Thus, the basic connections required to get the volume flow from a horizontal circular pipe are; one upstream tap and one downstream tap connected to a differential pressure sensor.

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Answer:

The pool dimensions are thus  (9x - 12y)(9x + 12y)

Step-by-step explanation:

(81x^2 - 144y^2) is the difference of two squares.  Note that you must indicate exponentiation with " ^ ."

Factoring the difference of two squares:  a^2 - b^2 = (a - b)(a + b)

Thus,  (81x^2 - 144y^2)  =

The pool dimensions are thus  (9x - 12y)(9x + 12y)

Area of rectangle is Length times of Breadth. The pool dimensions are  (9x - 12y) and (9x + 12y) when area of rectangular swimming pool is  (81x2 - 144y2)

area of Mr. Tan's rectangular swimming pool is (81x^2 - 144y^2), we need to find the area of rectangle.

Area of rectangle= Length*Breadth

The given area of Mr. Tan's rectangular swimming pool is (81x^2 - 144y^2),

(81x^2 - 144y^2)=Length * Breadth

We know that (a+b)(a-b)=a^2-b^2

So,

The factors of (9x^2-12y^2) is (9x+12y) and (9x-12y)

(9x^2-12y^2)=(9x+12y)(9x-12y)

=Length * Breadth

where length and breadth are two dimensions of rectangle

Therefore (9x+12y) and (9x-12y) are two dimensions of rectangle.

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For the function f(x) = ⌊x²/3⌋, the values of f(s) for different sets s are as follows: a) f(s) = {1, 0, 0, 0, 1, 3}, b) f(s) = {0, 0, 1, 3, 5, 8}, c) f(s) = {0, 8, 16, 40}, d) f(s) = {1, 12, 33, 77}

The function f(x) = ⌊x²/3⌋ represents the floor of x²/3. To find f(s) for different sets s, let's evaluate it for each case:

a) For s = {-2, -1, 0, 1, 2, 3}:

  - For -2, (-2)²/3 = 4/3, and ⌊4/3⌋ = 1.

  - For -1, (-1)²/3 = 1/3, and ⌊1/3⌋ = 0.

  - For 0, (0)²/3 = 0/3 = 0.

  - For 1, (1)²/3 = 1/3, and ⌊1/3⌋ = 0.

  - For 2, (2)²/3 = 4/3, and ⌊4/3⌋ = 1.

  - For 3, (3)²/3 = 9/3 = 3.

  Therefore, f(s) = {1, 0, 0, 0, 1, 3}.

b) For s = {0, 1, 2, 3, 4, 5}:

  - For 0, (0)²/3 = 0/3 = 0.

  - For 1, (1)²/3 = 1/3, and ⌊1/3⌋ = 0.

  - For 2, (2)²/3 = 4/3, and ⌊4/3⌋ = 1.

  - For 3, (3)²/3 = 9/3 = 3.

  - For 4, (4)²/3 = 16/3, and ⌊16/3⌋ = 5.

  - For 5, (5)²/3 = 25/3, and ⌊25/3⌋ = 8.

  Therefore, f(s) = {0, 0, 1, 3, 5, 8}.

c) For s = {1, 5, 7, 11}:

  - For 1, (1)²/3 = 1/3, and ⌊1/3⌋ = 0.

  - For 5, (5)²/3 = 25/3, and ⌊25/3⌋ = 8.

  - For 7, (7)²/3 = 49/3, and ⌊49/3⌋ = 16.

  - For 11, (11)²/3 = 121/3, and ⌊121/3⌋ = 40.

  Therefore, f(s) = {0, 8, 16, 40}.

d) For s = {2, 6, 10, 14}:

  - For 2, (2)²/3 = 4/3, and ⌊4/3⌋ = 1.

  - For 6, (6)²/3 = 36/3 = 12.

  - For 10, (10)²/3 = 100/3, and ⌊100/3⌋ = 33.

  - For 14, (14)²/3 = 196

The values of f(s) for the given sets show how the function ⌊x²/3⌋, which represents the floor of x²/3, behaves for different inputs.

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The denominator of the simplified expression will be (9n² + 4).

A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of numerator and denominator.

The expression is given below.

[(2 / 6n + 4)] [(3n + 2) / (3n – 2)]

On multiplication, we have

(6n + 4) / (18n² + 8)

(3n + 2) / (9n² + 4)

The denominator of the simplified expression will be (9n² + 4).

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Answer:

when x = -3; y = -22/7

when x = 0;  y = -13/7

when x = 3;  y = -4/7

y = 3/7x - 13/7

x = 7/3y + 13/3

Step-by-step explanation:

x = -3;    3(-3) - 7y = 13; -9 - 7y = 13; -7y = 22; y = -22/7

x = 0;     3(0) -7y = 13; -7y = 13; y = -13/7

x = 3;     3(3) -7y = 13; 9 - 7y = 13; -7y = 4; y = -4/7

SOLVE FOR Y: 3x - 7y = 13; -7y = -3x + 13; y = 3/7x - 13/7

SOLVE FOR X: 3x - 7y = 13; 3x = 7y + 13; x = 7/3y + 13/3

c

Step-by-step explanation:

In each spaces is 10 so count from 0 till you get to 55

126 number of ways we can arrange the men, women in order to committee with 2 women and 2 men ,the combination is explained below as

We can use the combination formula to find  out the number of ways to choose 2 women and 2 men from a group of 4 women and 5 men.

as we know the  formula for combination as :

C(n ,k) = n! / (k!(n-k)!)

where n is the total number of people, k is the number of people we want to choose, and ! denotes factorial to find the number of combinations  (i.e. the product of all integers up to that number, e.g. 4! = 432*1 = 24).

In this case,  to choose the number of individuals as = 4 + 5 = 9 and k = 2 + 2 = 4. So, the number of ways to choose the committee is:

C(9,4) = 9! / (4!(9-4)!) = 126 ways

Hence the number of ways to choose committee is 126 ways.

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Answer:

cfc

Step-by-step explanation:

cfc

Answer:

3

Step-by-step explanation:

you suck

Answer:

See below

Step-by-step explanation:

By observation, the line tilts down to the left....negative slope

pick two convenient points, say 0,7 and 2,6

   slope = rise/run      rise = -1   run = 2

             = -1/2

y-axis intercept is 7

y = -1/2 x + 7       That's it .....