rewrite 2 x 2^4 as an expression as a single power

A midwife delivers 10 babies, with 50% chance of delivering a boy and 50% of delivering a girl. The probability that 6 out of 10 babies will be boys is 20.5%

The problem can be solved using binomial distribution, that is the probability of 2 possible outcomes in a number of trials.

The formula is given by:

P(x) = ⁿCx . P^x . (1 - P)^(n-x)

x = total number of event A

n = number of trials

P = probability of A in a single trial

Parameters given in the problem:

n = 10

x = 6

P = 50% = 0.5

Plug these parameters into the formula:

P(6 boys) = ¹⁰C₆ . (0.5)⁶ .  (0.5)⁴

                = 0.205 = 20.5%

Hence, the probability that 6 out of 10 babies will be boys is 20.5%

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Answer:

Step-by-step explanation:

You must solve the slope-intercept form with the graph of the linear function g passing through the points.

Use the slope-intercept form.

\(\underline{\text{SLOPE-INTERCEPT FORM:}}\)

\(\Longrightarrow: \sf{y=mx+b}\)

Use the slope formula.

\(\underline{\text{SLOPE:}}\)

\(\Longrightarrow \sf{\dfrac{y_2-y_1}{x_2-x_1} }\)

(-7,-4) and (7,6)

\(\sf{\dfrac{6-\left(-4\right)}{7-\left(-7\right)}}\)

Solve.

\(\sf{\dfrac{6-\left(-4\right)}{7-\left(-7\right)}=\sf{\dfrac{10}{14}=\dfrac{10\div2}{14\div2}=\dfrac{5}{7} }}\)

I hope this helps. Let me know if you have any questions.

Answer:

-1.9

Step-by-step explanation:

Answer:

4 3/10 + (-6.2) = - 1 9/10

Step-by-step explanation:

The domain of the function can be represented using set-builder notation as follows: {x | x is a positive integer}. The range of the function can be represented using inequality notation as follows: 0 ≤ y ≤ 100.

The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.

Part A:

Hours Cost

1  10

3  30

11  100

20  100

Part B:

The domain of the function that represents the cost of renting a bicycle is the set of all possible values of the number of hours the bicycle is rented for. In this case, the domain is the set of all positive integers, because the bicycles must be returned the same day they are rented.

The range of the function is the set of all possible values of the cost of renting the bicycle. In this case, the range is the set of all non-negative numbers less than or equal to 100, because the maximum daily fee is $100.

Part C:

The domain of the function can be represented using set-builder notation as follows:

{x | x is a positive integer}

The range of the function can be represented using inequality notation as follows:

0 ≤ y ≤ 100

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Answer:

Step-by-step explanation:

-4x + 10 ≥ 5x + 55

-9x + 10 ≥ 55

-9x ≥ 45

x ≤ -5

Step-by-step explanation:

\(ĀB = (12 \times 2) \\ = 24\)

The surface area of the pyramid is 532m²

A pyramid is a 3D polyhedron with the base of a polygon along with three or more triangle-shaped faces that meet at a point above the base. It is made by connecting each vertex of the base to a common tip or apex giving it its typical shape.

The general formula for the lateral surface area of a regular pyramid is L.S.A.=1/2pl

where

Given that The pyramid is a rectangular,

Therefore the surface area is

L.S.A.=1/2(14*4) *19

Surface area = 28*19 = 532m²

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Answer:

7 less people

Step-by-step explanation:

You let 10 people off then you let 8 on meaning there are 2 less people. Then 5 more people get off meaning there are 7 less people

Answer:

7 less people

hope this helps!!

A study finds that out of every 400 babies born in the​ world, 28 have some kind of major birth defect. The simplest way to assign random numbers to conduct a simulation based on this​ statistic is to use 00-06 (7%) to indicate the babies with birth defects.

Note that the total number of births is: 400

Total number of defective babies = 28

Hence, the fraction or ratio of this is:

28/400

= 7/100

= 7%.

This also means that 07-99 (93%) will represent the babies without birth defects.

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since there are no elements in the empty set that can serve as a zero vector. The empty set has no elements, so it cannot have a zero vector, and thus it cannot be a vector space.

The empty set fails to satisfy the requirement that there exists a zero vector, since there are no elements in the empty set that can serve as a zero vector. Therefore, the empty set cannot be considered a vector space.
The empty set is not a vector space because it fails to satisfy the requirement of having a zero vector. A vector space must have a zero vector (also known as the identity element) that, when added to any other vector in the space, results in the original vector. The empty set has no elements, so it cannot have a zero vector, and thus it cannot be a vector space.

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Statement 1: Some cats like turkey, the form is I, the subject class is Cats, and the predicate class is Turkey, statement 2: There are burglars coming in the window, the form is E, the subject class is Burglars, and the predicate class is Not coming in the window and statement 3: Everyone will be robbed, the form is A, the subject class is Everyone, and the predicate class is Being robbed.

The given categorical propositions and their forms are as follows:

(1) Some cats like turkey - Form: I:

Subject class: Cats,

Predicate class: Turkey

(2) There are burglars coming in the window - Form: E:

Subject class: Burglars,

Predicate class: Not coming in the window

(3) Everyone will be robbed - Form: A:

Subject class: Everyone,

Predicate class: Being robbed

In the first statement:

Some cats like turkey, the form is I, the subject class is Cats, and the predicate class is Turkey.

In the second statement:

There are burglars coming in the window, the form is E, the subject class is Burglars, and the predicate class is Not coming in the window.

In the third statement:

Everyone will be robbed, the form is A, the subject class is Everyone, and the predicate class is Being robbed.

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Answer:

The area of a triangle is 1/2BH, or 1/2 times the base times the height.

If the area = 6, and B and H must both be whole numbers.

The area of the triangle ΔSTU is given by A = 12 units²

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the area of the triangle ΔSTU be represented as A

Now , the area of triangle ΔQTU is 6 square units, and the area of triangle ΔRSU is 6 square units

So , the base of the triangle ΔSTU = 6 units

The height of the triangle ΔSTU = 4 units

So , area of the triangle = ( 1/2 ) x Length x Base

On simplifying , we get

The area of triangle ΔSTU = ( 1/2 ) x 4 x 6

The area of triangle ΔSTU = 12 units²

Therefore , the value of A is 12 units²

Hence , the area of the triangle is 12 units²

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The complete question is attached below :

The area of triangle QTU is 6 square units, and the area of triangle RSU is 6 square units. The dimensions in the figure below are labeled in units. What is the area of triangle STU in square units?

The 'x' coordinate is negative and 'y' coordinate is positive.

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

We know that :

π = 180

Therefore,

3π/4 = (3×180)/4 = 3 × 45

3π/4 = 135

In second quadrant, we have negative value if x coordinate and positive value of y coordinate.

Hence, the angle lies in the second quadrant. Second quadrant is enclosed by the negative x axis and positive y axis.

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Answer:

x is negative, and y is positive.

Step-by-step explanation:

The answer above is correct.

Power analysis is a valuable tool used before data collection to ensure that you have an adequate sample size to achieve the desired power, minimize Type II error rates, and maintain a Type I error significance level.

Yes, that is correct. Power analysis is a crucial step in the planning phase of a research study. It allows researchers to estimate the required sample size to achieve adequate statistical power for the study. Adequate statistical power ensures that the study is able to detect meaningful differences or effects between groups or variables. This is important because collecting too little data can lead to a low power, which increases the risk of false-negative results (type II error).

Power analysis can also help evaluate the effect size of a study when there are restrictions on the data collection, such as limited time or resources and its significance level. Overall, power analysis is a valuable tool for ensuring that a study collects enough data to draw meaningful conclusions. By considering the practical situation and appropriate effect size, power analysis helps you make informed decisions about your study design and evaluate the study's effect size when faced with restricted resources. This way, you can maximize the reliability and validity of your study's findings.

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Answer:

Step-by-step explanation:

plane traveled 3200 km

aver. velocity = 222 m/s

find:

How long was the flight from Nevada to LA in seconds.

solution:

time = distance / velocity

        =  3200 km   x     1000 m    

               222 m/s            1 km

        =  14,414.41 seconds

Answer:

Dividing each part into 10 and then summing the results up, is equivalent to dividing 89.5 into 10.  

Step-by-step explanation:

This example refers to the Distributive Property of the division, which is valid when the dividend is decomposed.

A simple example could be: 400 ÷ 10 = (200 ÷ 10) + (200 ÷ 10)

In the exposed example we know that 89.5 = 80 + 9 + 0.5.

(80/10) + (9/10) + (0.5/10) =

8 + 0.9 + 0.05=

8.95

89.5/10 = 8.95

Answer:

f(x)= -3 (x-2)^2 -5

is the answer

The 57% approval rate among the sample of 1,600 registered voters is an example of a percentage or a proportion.

In statistical terms, a percentage or proportion represents a part of a whole expressed as a fraction of 100. It indicates the relative size or magnitude of a specific subset within a larger population. In this case, it signifies the proportion of registered voters who approve of the president's job performance within the sample of 1,600 individuals.

To calculate the percentage, the number of individuals who approve of the president's job (912) is divided by the total sample size (1,600) and then multiplied by 100. This yields the 57% approval rate.

The use of percentages or proportions is common in various fields such as statistics, surveys, and public opinion research to provide a concise representation of the relative frequency or magnitude of a specific characteristic or event within a given population or sample.

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Answer:

29

Step-by-step explanation:

just substitute x with 4 in the equation :)

Answer:c

Step-by-step explanation:

q = 2v - h - 2

And the number of edges e in the quadrangulation is:

e = 4(v - h) + h. Using Euler's formula for planar graphs, we have:

V - E + F = 2

Where V is the number of vertices, E is the number of edges, and F is the number of faces.

In a quadrangulation, every face has 4 sides. Since there are q quadrangles, we can express the total number of edges as:

2E = 4q

Which simplifies to:

E = 2q

Since h vertices lie on the convex hull, there are v - h vertices that are internal. For a convex hull, each internal vertex is connected to 4 edges. So, the total number of edges connected to internal vertices can be expressed as:

E_internal = 4(v - h)

There are also h vertices on the convex hull. Since the convex hull is formed by a simple cycle, the total number of edges connected to convex hull vertices can be expressed as:

E_convex_hull = h

Now, the total number of edges E can be found by summing the edges connected to internal vertices and those connected to convex hull vertices:

E = E_internal + E_convex_hull = 4(v - h) + h

Next, we need to find the number of faces F. Since there are q quadrangles, we have:

F = q + 1

Now, we can substitute V, E, and F into Euler's formula:

v - (4(v - h) + h) + (q + 1) = 2

Simplifying the equation, we get:

q = 2v - h - 2

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Step-by-step explanation:

Answer:

D. 4 And 8

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Answer:

B

Step-by-step explanation:

A compound event is any event combining two or more simple events.

From the question, we have the following parameters that can be used in our computation:

combining two or more simple events.

As a general rule

When two or more simple events are combined, the result is a compound event

An example is selecting 1 in a die and head in a coin

This means that the statement that completes the blank is compound event

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In this scenario, the shape of the sampling distribution of X-bar is approximately normal.

The sampling distribution of the sample mean, X-bar, can be determined by the Central Limit Theorem. In this case, since the sample size is large (n = 64) and the underlying distribution (X) is approximately normal, the sampling distribution of X-bar will also be approximately normal. The Central Limit Theorem states that regardless of the shape of the population distribution, as the sample size increases, the sampling distribution of X-bar tends to become more and more normal. Therefore, in this scenario, the shape of the sampling distribution of X-bar is approximately normal.

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The peak is at y = 24 feet, the vertex point (h, k) is (16, 24). Plugging these values into the equation, we get:

y = |x - 16| + 24

This equation models the roof line of Terry's house.

To model the roof line of Terry's house, we can use the concept of absolute value. The equation for an absolute value function can be written as:

y = |x - h| + k

where (h, k) represents the vertex of the absolute value graph.

In this case, the peak of the roof line is at 24 feet. Since the width of the house is 32 feet, the vertex of the absolute value graph will be at the midpoint of the width, which is 16 feet. Therefore, h = 16.

Since the peak is at y = 24 feet, the vertex point (h, k) is (16, 24). Plugging these values into the equation, we get:

y = |x - 16| + 24

This equation models the roof line of Terry's house.

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The formal charge on the bromine atom in the given structure is zero, indicating that it is formally neutral.

To determine the formal charge on an atom, we compare the number of valence electrons the atom should have (based on its position in the periodic table) with the number of electrons it actually has in the structure. The formula to calculate the formal charge is as follows:

Formal Charge = Valence Electrons - Lone Pair Electrons - 1/2 * Bonding Electrons

In the given structure, if we count the valence electrons on the bromine atom, we find that it has 7 valence electrons. Looking at the structure, we can see that bromine is surrounded by three bonds and one lone pair of electrons. Each bond contributes two electrons, and the lone pair contributes two electrons as well. Plugging these values into the formal charge formula, we get:

Formal Charge = 7 - 2 - 1/2 * 6 = 7 - 2 - 3 = 2 - 3 = -1

However, this formal charge of -1 does not accurately represent the bromine atom in the given structure. In reality, the bromine atom has an expanded octet, meaning it can accommodate more than eight valence electrons. The formal charge of -1 suggests that the bromine atom has an extra electron, which is not the case in this structure. Therefore, the more accurate formal charge for the bromine atom is zero, indicating that it is formally neutral.

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Answer:

340

Step-by-step explanation:

No. of  seats in theater 1 = 270

Let the no. of  seats in theater 3 be x

given that

There are 150 more seats in Theater 2 than in Theater 3.

no. of  rooms in theater 2 =  no. of  rooms in theater 3 + 150

                                          x + 150

Total numbers of seats in all the theater = 270+ x + x+150 = 2x + 420

It is also given that total capacity is 800 seat

thus

Total numbers of seats in all the theater = 800

2x+420 = 800

=> 2x = 800 - 420 = 380

=> x = 380/2 = 190

Thus, no of rooms in theater 3 is 190.

No. of rooms in theater 2 is x + 150 = 190 + 150 = 340  ---> Answer

It is possible to use a relational operator and math operators in the same expression.

In programming, you can use relational operators (e.g., <, >, ==, !=) and math operators (e.g., +, -, *, /) together in the same expression. This is often used in conditional statements or loops to compare calculated values.

For example, consider the following expression:

`if (2 * 3) > (4 + 1)`

In this expression, we have math operators (*) and (+) and a relational operator (>). The math operations are evaluated first, resulting in:

`if (6) > (5)`

Then, the relational operator (>) is evaluated, and the expression becomes:

`if True`

The expression is true because 6 is greater than 5.

It is possible to use both relational operators and math operators in the same expression, which can be useful in various programming situations such as conditional statements or loops.

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