two person are sleceted at random out fo 9 girls and 11 boys without replacement. IF 605 is fofered for selecting two girls, what is the mathetmatical expectation

Pattern uses 6233.76 inches² fabric.

Firstly we will convert units in required form. Therefore, converting equivalent of yard² in inches². As per the given information, 1 yard = 3 feet and 1 foot = 12 inches.

As 1 foot = 12 inches, so, 3 feet = 36 inches, which is further equal to 1 yard.

Now, 1 yard² = (36 inches)²

1 yard² = 1296 inches²

Coming back to the problem, we will now calculate inches² from fabric measurement in yard². So, relating the units for conversion.

1 yard² = 1296 inches²

4.81 yard² = 1296 × 4.81

Performing multiplication

Measurement of 4.81 yard² in inches² = 6233.76

Hence, the pattern uses 6233.76 inches² fabric.

Learn more about conversion of units -

brainly.com/question/16851332

#SPJ4

Implementing a new system into an organization module by module is called a​ phased approach.

A phased approach is one of two common methods used to develop an ERP system solution. In this strategy, the system's functionalities are introduced in a certain order, gradually replacing previous systems and processes.

This frequently indicates that a business starts off with core functionality that is given top attention, and then other applications are gradually added in stages over time. An alternative implementation strategy, however, uses an all-at-once model in which the system and all apps "Go Live" simultaneously.

The optimal implementation plan for your firm will depend on the needs, goals, and strategies you have for it. This might involve a hybrid strategy where crucial functionality is added to the core ERP programs first, and then desirable features are added later on in a staged implementation. By considering all of your options, your firm can decide which will serve its interests the most effectively.

To learn more about Phase system:

https://brainly.com/question/28162704

#SPJ4

Answer:

90°

Step-by-step explanation:

Interior angles of ALL triangles sum to 180°

The whole large triangle has angles 60 60 60   ( they sum to 180)

that means x = 30

then the small triangle on the right has     60 + 30 + y = 180

  meaning y = 90 °

Answer:

Step-by-step explanation:

10

Answer:

Step-by-step explanation:

Translate this verbal description into a symbolic statement, acting from left to right:

(3/4)w + 5 = (1/2)(w) + 9

If we want to determine the value of w that satisfies this equation, begin by multiplying all four terms by the LCD (which is 4):

3w + 20 = 2w + 9

Then w = -11

Answer:

70 + 4 + .3

Step-by-step explanation:

Effortless!

In hypothesis testing, a Type 1 error occurs when we reject a null hypothesis that's actually true. In other words, we conclude that there's a significant effect or difference when there is not one. The probability of making a Type 1 error is denoted by the symbol alpha( α).

A Type 2 error, on the other hand, occurs when we fail to reject a null hypothesis that's actually false. In other words, we conclude that there's no significant effect or difference when there actually is one. The probability of making a Type 2 error is denoted by the symbol beta( β).

In general, Type 1 errors are considered more serious than Type 2 errors because they lead to false positive results and can have negative consequences, similar as making incorrect opinions or wasting coffers. still, the inflexibility of the consequences depends on the specific situation.

The chances of Type 1 and Type 2 errors are related to the significance position( α) and the power( 1- β) of the hypothesis test, independently. The significance position( α) is the probability of making a Type 1 error and is generally set at 0.05 or 0.01. .

Learn more about Hypothesis test

https://brainly.com/question/4232174

#SPJ4

Answer: 120 miles

Step-by-step explanation:

If a car goes 60 miles per hour then in two hours (60×2) it will go 120

Answer:

terms = 7.6p-7p and 9c-4

coefficients =76, 7, 9 and 4

constant terms= 4

Answer:

Im not 100% sure but i believe its M6?

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The set of transformations would prove ΔQRS ~ ΔUTS is A. Reflect ΔUTS over y = 2, and dilate ΔU′T′S′ by a scale factor of 2 from point S.

The transformation of a function may involve any change.

Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.

Firstly, we need the general rotation method (x,y) to (-y,x)

So; U (-4,-2) becomes U’ (2,-4)

T(-2,0) becomes T’(0,-2)

S(-2,-2) becomes S’ (2,-2)

The set of transformations would prove ΔQRS ~ ΔUTS are;

Reflect ΔUTS over y = 2, and dilate ΔU′T′S′ by a scale factor of 2 from point S.

Thus, option A is correct.

Learn more about transforming functions here:

https://brainly.com/question/17006186

#SPJ2

Answer:

5x-4y

Step-by-step explanation:

1, Look for your like terms (x,y)

2.Do 2X+5X

3. 3y-7y

4. 5x-4y

Answer:

5x - 4y

Step-by-step explanation:

3x + 2x = 5x

3y- 7y = -4y

The two points on the y axis that are 25 units from (-24,3) will be (0, 10) and (0, - 4).

We are given a point:

( - 24 , 3 )

We need to find a point on the y - axis, that is 25 units away from the axis.

The coordinate of the point will be:

(0, y)

So, by using the distance formula, we get that:

D = √ ( y₂ - y₁)² + ( x₂ - x₁)²

25 = √ ( y + 3)² + (0 + 24)²

625 = y² + 9 - 6 y + 576

625 = y² - 6 y + 585

y² - 6 y - 40 = 0

y² - 10 y + 4 y - 40 = 0

y ( y - 10 ) + 4 ( y - 10 ) = 0

(y - 10)(y + 4) = 0

y = - 4 or y = 10.

So, the two points will be:

(0, 10) and (0, - 4)

Therefore, we get that, the two points on the y axis that are 25 units from (-24,3) will be (0, 10) and (0, - 4).

Learn more about points here:

https://brainly.com/question/25870256

#SPJ9

Answer:subtraction

Step-by-step explanation:

4x^5-8x-3x^2-- - 8x-9

gives you 4x^5-3x^2-9

-8x- -8× cancel out

Answer:

68

Step-by-step explanation:

We can see that the nth term would be the sum of the previous two terms. Continuing this would result in 68.

Value of x for which defined function f(x) = x²e⁻ˣ² gives the relative maximum value is equal to option D. -1 or  1.

Function 'f' is defined by f(x) = x²e⁻ˣ²

To get the relative maximum value of the function f(x) =  x²e⁻ˣ² find the first derivative we have,

f(x) =  x²e⁻ˣ²

Apply product rule of derivative :

d/dx ( u × v ) = v du /dx + u dv /dx

f' ( x ) =  e⁻ˣ² d/dx (x²) + x² d/dx (e⁻ˣ²)

⇒ f' (x) = 2x  e⁻ˣ² - 2x (x² ) ( e⁻ˣ² )

⇒  f' (x) = 2x  e⁻ˣ² - 2x³ e⁻ˣ²

⇒ f' (x) = 2x  e⁻ˣ²( 1 - x² )

To get the value of x for maximum function f' (x ) = 0 we get,

2x  e⁻ˣ²( 1 - x² ) = 0

⇒ 2≠0 or x =0 or  e⁻ˣ² ≠ 0 or 1 - x² = 0

⇒ x = 0 or x = ± 1

When

x = 0 ⇒ f(x) = 0

x = 1 ⇒ f(x) = e⁻¹

x = -1 ⇒ f(x) = e⁻¹

x = -1 or 1 represents the relative maximum value of f(x).

Therefore , value of x which represents the relative maximum value of the function f(x) = x²e⁻ˣ² is equal to option D. -1 or 1.

Learn more about function here

brainly.com/question/12431044

#SPJ4

Answer:

Step-by-step explanation:

For the first 30 hours, Andrew will earn 4(30) = $120.  For each additional hour beyond 30 that Andrew works, he will earn 5(h - 30).  Therefore, the function that gives Andrew's total wages when he works more than 30 hours is:

w = 120 + 5(h - 30).  

So, if he works 35 hours, he will earn:

120 + 5(35 - 30) = 120 + 5(5) = 120 + 25 = $145.

If he works 42 hours, he will earn:

120 + 5(42 - 30) = 120 + 5(12) = 120 + 60 = $180.

I hope this helps!

Answer:

16

Step-by-step explanation:

because it's g of 7 use the third equation.

(7+1)(7-5) = 8x2 = 16

The error in performing the operation and writing the answer in standard form is in the step where -21² is calculated incorrectly as -21². The correct calculation for -21² is 441.

Corrected Solution:

To correct the error and accurately perform the operation, let's go through the steps:

Step 1: Expand the expression using the distributive property:

(3 + 2i)(5 - 1) = 3(5) + 3(-1) + 2i(5) + 2i(-1)

= 15 - 3 + 10i - 2i

Step 2: Combine like terms:

= 12 + 8i

Step 3: Write the answer in standard form:

The standard form of a complex number is a + bi, where a and b are real numbers. In this case, a = 12 and b = 8.

Therefore, the correct answer in standard form is 12 + 8i.

The error occurs in the subsequent steps where -21² and 2¡² are calculated incorrectly. The value of -21² is not -21², but rather -441. The expression 2¡² is likely a typographical error or a misinterpretation.

To correct the error, we replace -21² with the correct value of -441:

= 15 + 7i - 441 + 7i + 15

= -426 + 14i

Hence, the correct answer in standard form is -426 + 14i.

For more such questions on mathematical operation , click on:

https://brainly.com/question/20628271

#SPJ8

Algebra 1

Note

• f(x)=ax^2+bx+12

b=8

Answer:

The answer is 277

Step-by-step explanation:

25 x 5 = 125 (Big rectangle)

25 - 12 = 13 (Small Rectangle)

6 x 8 = 48 (Both triangles)

Put together = 277

Answer:

1 mile = 3 ft

Therefore, the number of miles that equal 2800 ft is 2800÷3.

The answer: 933.33

Step-by-step explanation:

Answer: I think it's D.

In triangle ∆PKH, the measures of the angles P = 30.8299, K = 82.8452, and H = 66.3249 to the four decimal place using the cosine rule.

In trigonometry, the cosines rule relates the lengths of the sides of a triangle to the cosine of one of its angles.

Considering the given triangle, angle H is calculated with cosine rule as follows;

h² = p² + k² - 2(p)(k)cosH

19.4² = 29.8² + 13.9² - 2(29.8)(13.9)cosH

cosH = (376.36 - 43.7)/2(29.8)(13.9)

H = cos⁻¹(332.66/828.44)

H = 66.3249

k² = p² + h² - 2(p)(h)cosK

13.9² = 29.8² + 19.4² - 2(29.8)(19.4)cosK

cosK = (193.21 - 49.2)/2(29.8)(19.4)

K = cos⁻¹(144.01/1156.24)

K = 82.8452

P = 180 - (82.8452 + 66.3249) {sum of interior angles of a triangle}

P = 30.8299

Therefore, in triangle ∆PKH, the measures of the angles P = 30.8299, K = 82.8452, and H = 66.3249 to the four decimal place using the cosine rule.

Read more about cosine rule here: https://brainly.com/question/4372174

#SPJ1

The volume V obtained by rotating the region bounded by the curves about the x-axis is approximately 9.424 cubic units.

To find the volume, we can use the formula for the volume of revolution. Given the curves y = 3sin(2x) and y = 0, we need to rotate this region about the x-axis.

The volume formula is given by V = π∫[a,b] [f(x)]^2 dx, where [a,b] represents the interval of integration and f(x) represents the height of the curve.

In this case, f(x) = 3sin(2x). So we have:

V = π∫[0,π] [3sin(2x)]^2 dx

Simplifying the expression inside the integral:

V = π∫[0,π] 9sin^2(2x) dx

We can use the trigonometric identity sin^2θ = (1/2)(1 - cos(2θ)) to rewrite the integral:

V = π∫[0,π] 9(1/2)(1 - cos(4x)) dx

Expanding the expression:

V = (9π/2)∫[0,π] (1 - cos(4x)) dx

Integrating term by term:

V = (9π/2) [x - (1/4)sin(4x)] |[0,π]

V = (9π/2) [(π - (1/4)sin(4π)) - (0 - (1/4)sin(0))]

Simplifying further:

V = (9π/2) [π - 0]

V = (9π^2)/2

So, the volume V obtained by rotating the region about the x-axis is approximately (9π^2)/2 or approximately 9.424 cubic units.

Learn more about volume here:

brainly.com/question/32611652

#SPJ11

Find the volume V obtained by rotating the region bounded by the curves about the given axis. y=3sin2(x),y=0,0≤x≤π; about the x-axis  V=

Answer:

Step-by-step explanation:

=7+5

-

The correct answer is options 1 and 4: w/x divided by y/z is equivalent to X/w x z/y.

To determine which of the given options is equivalent to w/x divided by y/z, let's simplify each option step by step:

w/x divided by y/z:

(w/x) / (y/z) = (w/x) * (z/y) = wz / xy

X/w x y/z:

(x/w) * (y/z) = xy / wz

X/w x z/y:

(x/w) * (z/y) = xz / wy

W/x x z/y:

(w/x) * (z/y) = wz / xy

X/w divided by z/y:

(x/w) / (z/y) = (x/w) * (y/z) = xy / wz

Comparing the simplified expressions, we can see that options 1 and 4 both simplify to wz / xy, while options 2, 3, and 5 do not.

For more such questions on divided

https://brainly.com/question/25289437

#SPJ8

Using the formula of area of a circle, about 226.08in² has been eaten

The diameter of the pizza is given as 24 inches. To calculate the area of the entire pizza, we need to use the formula for the area of a circle:

Area = π * r²

where π is approximately 3.14 and r is the radius of the circle.

Given that the diameter is 24 inches, the radius (r) would be half of the diameter, which is 12 inches.

Let's calculate the area of the entire pizza first:

Area = 3.14 * 12²

Area = 3.14 * 144

Area ≈ 452.16 square inches

Now, if half of the pizza is consumed, we need to calculate the area of half of the pizza. To do that, we divide the area of the entire pizza by 2:

Area of half of the pizza = 452.16 / 2

Area of half of the pizza ≈ 226.08 square inches

Therefore, if half of the pizza is consumed, approximately 226.08 square inches of pizza would be eaten.

Learn more on area of a circle here;

https://brainly.com/question/15673093

#SPJ1