T/F We can use the normal distribution to approximate the sampling distribution of the average (x ¯) for a small sample (n<30) even if our sample has clear outliers.

Answer:

Yes

Step-by-step explanation:

The answer is YES.

When f(x) = g(x), both graphs intersect each other. So they intersect each other at 2 points, when x = 4 and x = 9

Hop this helps

Answer:

23÷6+2÷36=3.9(4) I think that is the answer

The solutions to the given equations are

1) x = g + c

2) \(a = \frac{k}{u}\) OR a = k/u

3) x = g - c

4) a = z + m

5) a = u + k

6) \(a = \frac{dr}{c}\) Or a = dr/c

7) \(a = \frac{c}{dr}\) OR a = c / dr

8) \(x = \frac{k}{w-v}\) OR x = k /(w-v)

9) \(a =\frac{m}{p+n}\) OR a = m/(p+n)

10) a = b + k - u

11) a = b + k + vw

12) \(a = \frac{b+n-p}{m}\) OR a = (b+n-p)/m

13)  \(a= \frac{b(p-n)}{m}\) OR a = b(p-n)/m

14) \(x = \frac{y(p-n)}{m}\) OR x = y(p-n)/m

15) \(x = \frac{g}{(r+d)} +c\)

For each of the equations, we will solve for the required variable

1) g = x - c, for x

To solve for x, we will add c to both sides, that is

g +c = x - c + c

g + c = x

∴ x = g + c

2) u = k / a, for a

This can be written as \(u = \frac{k}{a}\)

To solve for a, we will first multiply both sides by a, that is

\(a \times u = \frac{k}{a} \times a\)

Then, we get

\(au = k\)

Now, divide both sides by u

\(\frac{au}{u} = \frac{k}{u}\)

∴ \(a = \frac{k}{u}\) OR a = k/u

3) g = x + c, for x

To solve for x, we will subtract c from both sides

g - c = x + c - c

g - c = x

∴ x = g - c

4) z = a - m, for a

To solve for a, we will add m to both sides

z + m = a - m + m

z + m = a

∴ a = z + m

5)  u = a - k, for a

To solve for a, we will add k to both sides

u + k = a - k + k

u + k = a

∴ a = u + k

6) ac = dr, for a

Here, to solve for a, we will divide both sides by c

\(\frac{ac}{c} = \frac{dr}{c}\)

∴ \(a = \frac{dr}{c}\) Or a = dr/c

7) c / a = dr, for a

This can be written as

\(\frac{c}{a} = dr\)

To solve for a, we will first multiply both sides by a

\(a \times \frac{c}{a} = dr \times a\)

\(c = dra\)

Now, divide both sides by dr

\(\frac{c}{dr} = \frac{dra}{dr}\)

\(\frac{c}{dr} = a\)

∴ \(a = \frac{c}{dr}\) OR a = c / dr

8)  k / x = w - v, for x

This can be written as

\(\frac{k}{x} = w-v\)

To solve for x we will first multiply both sides by x

\(x\times \frac{k}{x} =x \times (w-v)\)

\(k =x (w-v)\)

Now, divide both sides by (w - v)

\(\frac{k}{(w-v)} = \frac{x(w-v)}{(w-v)}\)

\(\frac{k}{w-v} = x\)

∴ \(x = \frac{k}{w-v}\) OR x = k /(w-v)

9) m / a = p + n, for a

This can be written as

\(\frac{m}{a} = p + n\)

To solve for a, we will first multiply both sides by a

\(a \times \frac{m}{a} = a \times (p + n)\)

\(m = a (p + n)\)

Now, divide both sides by (p+n)

\(\frac{m}{(p+n)} = \frac{a(p+n)}{(p+n)}\)

\(\frac{m}{p+n} = a\)

∴ \(a =\frac{m}{p+n}\) OR a = m/(p+n)

10) u = b + k - a, for a

To solve for a, we will subtract (b + k) from both sides

u - (b + k) = b + k - (b + k) - a

u - b - k = b + k - b - k - a

Then,

u - b - k = - a

Now, multiply through by -1

-1 ×(u - b - k) = -1 × -a

-u +b +k = a

Then, we can write that

b + k - u = a

∴ a = b + k - u

11) a - k = b + vw, for a

To solve for a, add k to both sides

a - k + k = b + k + vw

∴ a = b + k + vw

12) ma = b + n - p, for a

To solve for a, divide both sides by m

\(\frac{ma}{m} = \frac{b+n-p}{m}\)

∴ \(a = \frac{b+n-p}{m}\) OR a = (b+n-p)/m

13) am = b (p - n), for a

To solve for a, divide both sides by m, that is

\(\frac{am}{m} = \frac{b(p-n)}{m}\)

∴ \(a= \frac{b(p-n)}{m}\) OR a = b(p-n)/m

14) mx = y (p - n ), for x

To solve for x, divide both sides by m

\(\frac{mx}{m} = \frac{y(p-n)}{m}\)

∴ \(x = \frac{y(p-n)}{m}\) OR x = y(p-n)/m

15) g = (r + d) (x - c), for x

To solve for x,

First, divide both sides by (r + d)

\(\frac{g}{(r+d)} = \frac{(r+d)(x-c)}{(r+d)}\)

\(\frac{g}{(r+d)} = x -c\)

Now, add c to both sides

\(\frac{g}{(r+d)} + c= x -c+c\)

\(\frac{g}{(r+d)} + c= x\)

∴ \(x = \frac{g}{(r+d)} +c\)

Hence, the solutions to the given equations are

1) x = g + c

2) \(a = \frac{k}{u}\) OR a = k/u

3) x = g - c

4) a = z + m

5) a = u + k

6) \(a = \frac{dr}{c}\) Or a = dr/c

7) \(a = \frac{c}{dr}\) OR a = c / dr

8) \(x = \frac{k}{w-v}\) OR x = k /(w-v)

9) \(a =\frac{m}{p+n}\) OR a = m/(p+n)

10) a = b + k - u

11) a = b + k + vw

12) \(a = \frac{b+n-p}{m}\) OR a = (b+n-p)/m

13)  \(a= \frac{b(p-n)}{m}\) OR a = b(p-n)/m

14) \(x = \frac{y(p-n)}{m}\) OR x = y(p-n)/m

15) \(x = \frac{g}{(r+d)} +c\)

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Answer:

-3x-5 x-4 I this work good luck

Answer:

-(3x-5) (x-4)

Step-by-step explanation:

-3x^2+17x-20

Factor -1 out of -3x^2

-(3x^2)+17x-20

Factor -1 out of 17x

-(3x^2)-(-17x)-20

Rewrite -20 as -1(20)

-(3x^2)-(-17x)-1(20)

Factor -1 out of -(3x^2)-(-17x)

-(3x^2-17x)-1(20)

Factor -1 out of -(3x^2-17x)-1(20)

-(3x^2-17x+20)

Factor.

-((3x-5)(x-4))

Final Anwser:

-(3x-5) (x-4)

Answer: x=-5/2

Step-by-step explanation:

1.add similar elements

-8x-20=0

2.add 20 to both sides

-8x-20+20=0+20

3.simplify

-8x=20

4. divide both sides by -8

-8x/-8 = 20/-8

5.simplify

x=-5/2

Answer:

5.06

Step-by-step explanation:

sin θ = - 0.9419

     θ = sin inverse - 0.9419

        = sin^-1 ( - 0.9419 )

        = - 1.2282

        = ( 2 ( π ) ) - 1.2282

     θ = 5.0549

     θ = 5.06 ( approximately )

Answer:D

Step-by-step explanation:

edge

Answer:

that is 9/31=0.2903=0.29

The standard deviation of the number of adults who have hypertension is 2.0494

According to a nationwide poll, 30% of adults in a particular country have hypertension.

Let x be the random variable associated with adults having hypertension.

x = binomial (n,p)

n=20

p=0.3

n= 0.7

mean = np = 20 x 0.3 = 6

variance = npq = 20 x 0.3 x 0.7 = 4.2

standard deviation = \(\sqrt{npq}\) = 2.049

The mean number of adults who have hypertension is 6.

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Answer:

\(g = \frac{E}{5h}\)

Step-by-step explanation:

To solve for g, given the equation: E = 5gh

Divide both sides by 5h:

\(\frac{E}{5h} = \frac{5gh}{5h}\)

\(\frac{E}{5h} = g\)

Answer:

E=5gh

E/5h=g

g=e/5h

Step-by-step explanation:

.......

1. Simplifying ∛54 gives 3∛2

2. 27^1/3 * (27)^3 is equal to  27

3. The expression (2j4k)^4/5 can be written as \(\sqrt[4]{32j^{20}k^{5} }^{5}\) making the first option the correct option

4. simplifying \(\sqrt[4]{16x^{4} y^{12} }\) will result to 2x∛y

5. simplifying \(\sqrt[5]{2940x^{13} y^{7} }\) will result to \(14x^{6} y^{3} \sqrt{15xy}\) making the last option the correct option

given data

\(\sqrt[5]{2940x^{13} y^{7} }\)

= ( 2940 * x^13 * y^7 )^1/5

\(= ( 2^2 * 5 * 3 * 7^2 * x^{12} * x * y^6 * y )^{1/5}\)

\(= ( 2^2 * 5 * 3 * 7^2 * x^{12} * x * y^6 * y )^{1/5*5/2}\)

\(= ( 2^2 * 5 * 3 * 7^2 * x^{12} * x * y^6 * y )^{5/5*1/2}\)

multiplying the values inside the parenthesis by ^1/2

\(= ( 2 * 5^{1/2} * 3^{1/2} * 7 * x^{6} * x^{1/2} * y^3 * y^{1/2} )\)

\(= ( 2 * 5^{1/2} * 3^{1/2} * 7 * x^{6} * x^{1/2} * y^3 * y^{1/2} )\)

\(= ( 14* 5^{1/2} * 3^{1/2} * x^{6} * x^{1/2} * y^3 * y^{1/2} )\)

\(= ( 14 * x^6 * y^3 ) ( 5^{1/2} * 3^{1/2} * x^{1/2} * y^{1/2} )\)

\(= ( 14x^6y^3 ) ( 15^{1/2} * x^{1/2} * y^{1/2} )\)

\(= ( 14x^6y^3 ) ( 15xy)^{1/2}\)

\(= ( 14x^6y^3 ) \sqrt{( 15xy)}\)

we can therefore say that the last option is the answer

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1000 cubic centimeters would need to be placed in a tub of water to displace 1 Lter of water

Conversion of units simply refers to the method used in determining the equivalent of one unit in relation to another.

From the information given, we have that;

Number of cubic centimeters that would be placed in a tub of water to displace 1 L of water

So, we have that there is 1 liter of water in the tub

In order to displace, you need to put something in that is the same amount

Now, let's convert the units

1 liter = 1000 cubic cm

Hence, you need 1000 cubic cm to displace 1 liter

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The amplitude of the resultant wave is 0.60 m/s and its speed is 17.64 m/s.

Given,

Two waves are described by:

3₁ (2, 1) = (0.30) sin(5z - 200t)] and

g (z,t) = (0.30) sin(52-200t)

+ =]

where OA A, 0.52 m and v= 40 m/s

OB A=0.36 m and

v= 20 m/s OC

A=0.60 m and

v= 1.2 m/s OD.

A = 0.24 m and

v= 10 m/s

DE A=0.16 m and

= 17 m/s

The amplitude of a wave is the distance from its crest to its equilibrium. The amplitude of the resultant wave is calculated by adding the amplitudes of the individual waves and is represented by A.

The expression for the resultant wave is given by f(z,t) = 3₁ (2, 1) + g (z,t)

= (0.30) sin(5z - 200t)] + (0.30) sin(52-200t)

+ =]

f(z,t) = (0.30) [sin(5z - 200t) + sin(52-200t)

+ =]

Therefore, A = 2(0.30) = 0.60 m/s

The speed of a wave is given by the product of its wavelength and its frequency. The wavelength of the wave is the distance between two consecutive crests or troughs, represented by λ. The frequency of the wave is the number of crests or troughs that pass through a given point in one second, represented by f.

Speed = λf

The wavelengths of the given waves are OA = 0.52 m,

OB = 0.36 m,

OC = 0.60 m,

OD = 0.24 m,

DE = 0.16 m

The frequencies of the given waves are OA :

v = 40 m/s,

f = v/λ

= 40/0.52

= 77.0 Hz

OB : v = 20 m/s,

f = v/λ

= 20/0.36

= 55.6 Hz

OC : v = 1.2 m/s,

f = v/λ

= 1.2/0.60

= 2.0 Hz

OD : v = 10 m/s,

f = v/λ

= 10/0.24

= 41.7 Hz

DE : v = 17 m/s,

f = v/λ

= 17/0.16

= 106.25 Hz

The speed of the resultant wave is the sum of the speeds of the individual waves divided by the number of waves. Therefore,

Speed of the resultant wave = (40 + 20 + 1.2 + 10 + 17)/5

= 17.64 m/s

Hence, the amplitude of the resultant wave is 0.60 m/s and its speed is 17.64 m/s.

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The amplitude of the resultant wave and its speed are to be determined.

Let's use the formula of the resultant wave, where,

A is amplitude, f is frequency, v is velocity and λ is wavelength of the wave.

A = \([(OA^2 + OB^2 + OC^2 + OD^2 + DE^2 + 2(OA)(OB)(cosθ) + 2(OA)(OC)(cosθ) + 2(OA)(OD)(cosθ) + 2(OA)(DE)(cosθ) + 2(OB)(OC)(cosθ) + 2(OB)(OD)(cosθ) + 2(OB)(DE)(cosθ) + 2(OC)(OD)(cosθ) + 2(OC)(DE)(cosθ) + 2(OD)(DE)(cosθ))]^{1/2\)

where, cosθ = [λ1/λ2] and λ1, λ2 are the wavelength of the two waves.

The velocity of the wave is given by the relation v = fλ

We can calculate the velocity of the resultant wave by using the above formula and calculating the value of wavelength of the wave.

Here, we are given λ for each wave. Speed = 40 m/s

Amplitude of the resultant wave= \([ (0.52^2 + 0.36^2 + 0.6^2 + 0.24^2 + 0.16^2 + 2(0.52)(0.36) + 2(0.52)(0.6) + 2(0.52)(0.24) + 2(0.52)(0.16) + 2(0.36)(0.6) + 2(0.36)(0.24) + 2(0.36)(0.16) + 2(0.6)(0.24) + 2(0.6)(0.16) + 2(0.24)(0.16) )]^{1/2\)

=\([ (0.2704 + 0.1296 + 0.36 + 0.0576 + 0.0256 + 0.3744 + 0.624 + 0.2496 + 0.1664 + 0.1296 + 0.0864 + 0.0576 + 0.144 + 0.096 + 0.0384) ]^{1/2\)

=\([ (2.2768) ]^{1/2\)

= 1.51 m/s

Therefore, the amplitude of the resultant wave is 1.51 m/s and the speed of the wave is 1.51 m/s.

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Answer:

For zero number the cost is zero and the rate of change is 25.

This is the indication of the proportional relationship

The equation is:

where y - cost, x - number of pairs of shoes, 25 - constant of proportionality

In Euclidean geometry, there are at least three non-collinear points in space, at least four non-coplanar points in space, and at least five points that do not all lie in the same plane.

Euclidean geometry is a branch of mathematics that is concerned with the study of points, lines, planes, and angles in two and three-dimensional space.

It was developed by the Greek mathematician Euclid in the third century BCE, and it is the most widely studied and applied branch of geometry.

Euclidean geometry is based on a set of axioms, or postulates, which are statements that are assumed to be true without proof. One of the axioms in Euclidean geometry states that in space, there are at least three points that do not lie on the same line. This is known as the axiom of existence.

In other words, if we take any three points in space, we can always find a plane that contains them. This plane is called a non-degenerate plane, and it is one of the fundamental concepts in Euclidean geometry. If we take four points in space, we can always find a plane that contains them.

This is known as the axiom of existence for four points. If we take five points in space, we can always find a plane that contains four of them, but there is no guarantee that the fifth point will lie on the same plane. This is known as the axiom of existence for five points.

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Answer:

b^2 + 2b <= 168

Step-by-step explanation:

The base is b.

The height, h, is 4 in. greater than twice the base, so the height is 2b + 4.

The area of a triangle is bh/2. We replace h with the expression for height.

A = bh/2 = b(2b + 4)/2 = (2b^2 + 4b)/2 = b^2 + 2b

The area is b^2 + 2b.

The area is no more than 168 in.^2, so it is less than equal to 168 in.^2.

b^2 + 2b <= 168

("<=" means "less than or equal to")

Since you don't show the choices, choose an inequality that is equivalent to the one just above.

Answer:

= 61000

Step-by-step explanation:

Move the decimal place 4 places to the right

61000

Answer:

61,000

Step-by-step explanation: Ive studied this in middle school

Answer:

Area covered by beam = 530 mi² (Approx.)

Step-by-step explanation:

Given:

Radius = 15 mi

Arc angle = 270°

Find:

Area covered by beam

Computation:

Area of sector = [θ/360][π][r²]

Area covered by beam = [270/360][22/7][15²]

Area covered by beam = [0.75][3.1428][225]

Area covered by beam = 530 mi² (Approx.)

Answer

linear

nonproportional

Step-by-step explanation:

Since for each equal change in time (1 week), there is an equal change in weight (5 lb), the situation is linear.

At time zero, the first week, the weight was not zero. It was 60 lb, so it is not proportional.

Answer:

linear

nonproportional

Based on the given side lengths a=3.5 cm, b=√18 cm (which is approximately 4.24 cm), and c=6 cm, the triangle is an scalene triangle.

Triangles are described in terms of their sides and angles in geometry. A closed planar three-sided polygon shape with three sides and three angles is known as a triangle. The lengths of the sides of a scalene triangle vary. They are not equal, and the angles have three measurements. However, it still has a 180° angle sum, just like all triangles.

A scalene triangle is a triangle with three different side lengths and three different angle measurements. The total of all internal angles, however, is always equal to 180 degrees. As a result, it satisfies the triangle's condition of angle sum.

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Answer:

1 yard is 3 feet. There is 36 inches in a yard. There is 12 inches in a foot. Multiply 36 by 10 to get 360. There is 360 inches in 10 yards.

Step-by-step explanation:

Hope this helps! :)

have a blessed day and remember to keep smiling! :)
PLEASE MARK ME AS BRAINLIEST I REALLY WANT TO LEVEL UP

Answer:

Step-by-step explanation:

Polynomial with a degree of 3 (due to 3 intersection points). Since the end of the graph is approaching positive infinity, we also know the equation of this graph has a positive coefficient.

(I don't know if you're in calculus yet, but...) We also know that there is a local min and local max, as well as inflection points as the graph changes concavity.

This is an example of a polynomial funciton because the graph of a polynomial function is a smooth continuous curve. Also, I had to graph a polynomial function in one of my past assignments, so I know its appearance.

The opposite of number 27 is -27

We know that the opposite of a number is nothing but the number which is at the same distance from 0 but in the opposite direction on a number line.

Here we have been givena number 27

Let a number 'p' be the opposite of number 27

If we plot 27 on the number line then we can observe that it is  located to the right of 0 on the number line.

So, from the definition of opposite of a number p would be at the same distance from 0  i.e., 27 units but in the opposite direction on a number line.

so, the number p would be -27

Therefore, -27 is opposite of 27

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Given the line l bisects the line NQ

Thus, NP=PQ=1/2NQ

Given NQ=31.8

THus,

NP=1/2x31.8 cm=15.9 cm.

The required length is NP=15.9 cm

75% of the beads are green in color.

percentage, a relative value indicating hundredth parts of any quantity.

Given that Chase ordered a set of beads

He received 4,000 beads in all.

3,000 of the beads were green.

We need to find the  percentage of the beads were green of 4000.

x/100×4000=3000

40x=3000

Divide both sides by 40

x=75%

Hence, 75% of the beads are green in color.

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We solve the simplification using exponent rules and the answer to the simplify is  \(y^{1}\)

Exponents are a way to simplify equations to make them easier to read.

The Power Rule for Exponents: (am)n = am*n. To raise a number with an exponent to a power, multiply the exponent times the power

Using exponential rules to solve the the equation

Exponent rule : \(\frac{x^{a} }{x^{b} } = x^{a-b}\)

Form the given equation we have y^4 / y^3

Substitute  into exponent rule:

\(\frac{y^{4} }{y^{3} } = y^{4-3}\)

=\(y^{1}\)

Therefore, the solution to the simplify is \(y^{1}\)

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After 20 years, the investment compounded periodically will be worth $ 3, 238. 47 more than the investment compounded annually.

First, find the value of the investment when it is compounded periodically, 12 times a year.

The formula is:

= Amount invested x ( 1 + rate ) ^ number of periods

= 9, 000 x ( 1 + 9 % / 12 ) ^ ¹² ˣ ²⁰

= $ 53, 678. 16

If compounded annually, the value would be :

= 9, 000 x ( 1 + 9 % ) ²⁰

= $ 50, 439. 69

The difference is :

= 53, 678. 16 - 50, 439. 69

= $ 3, 238. 47

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