if z is a standard normal variable, find the probability. the probability that z lies between 0 and 3.01A. 0.9987B 0.4987C 0.5013D. 0.1217

The measures can be classified as follows:

a) qualitative, b) qualitative,  c) quantitative, d) quantitative, and

e) qualitative.

a) The genders of the first 40 newborns in a hospital one year can be categorized as qualitative data. Gender is a categorical variable that can be classified as either male or female.

b) The natural hair color of 20 randomly selected fashion models is also qualitative data. Hair color is a categorical variable that can have various categories like blonde, brunette, red, etc.

c) The ages of 20 randomly selected fashion models can be classified as quantitative data. Age is a numerical variable that can be measured and expressed in numbers.

d) The fuel economy in miles per gallon of 20 new cars purchased last month is a quantitative measure. It represents a numerical value that can be measured and compared.

e) The political affiliation of 500 randomly selected voters is qualitative data. Political affiliation is a categorical variable that represents different affiliations such as Democrat, Republican, Independent, etc.

In summary, measures (a) and (b) are qualitative, measures (c) and (d) are quantitative, and measure (e) is qualitative.

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Answer:

Hell your answer for x is 4 11/14 ( that is what i got)

Step-by-step explanation: K12

A vector space is a collection of objects called vectors, which can be added together and multiplied by scalars (usually real numbers or complex numbers) in a way that satisfies certain axioms.

To determine whether v is a vector space, we need to verify that it satisfies the following axioms:

Closure under addition: For any u, v ∈ V, the sum u + v is also in V.

Associativity of addition: For any u, v, and w ∈ V, the sum (u + v) + w is equal to u + (v + w).

Commutativity of addition: For any u and v ∈ V, the sum u + v is equal to v + u.

Existence of additive identity: There exists an element 0 ∈ V such that for any v ∈ V, v + 0 = v.

Existence of additive inverse: For any v ∈ V, there exists an element −v ∈ V such that v + (−v) = 0.

Closure under scalar multiplication: For any α ∈ F and v ∈ V, the product αv is also in V.

Distributivity of scalar multiplication over vector addition: For any α ∈ F and u, v ∈ V, α(u + v) = αu + αv.

Distributivity of scalar multiplication over field addition: For any α, β ∈ F and v ∈ V, (α + β)v = αv + βv.

Associativity of scalar multiplication: For any α, β ∈ F and v ∈ V, (αβ)v = α(βv).

Existence of multiplicative identity: There exists an element 1 ∈ F such that for any v ∈ V, 1v = v.

Let's go through each of these axioms:

Let u, v ∈ V. Then, u ⊕ v = uv^(-1) ∈ V since both u and v are positive real numbers. Thus, V is closed under addition.

Let u, v, and w ∈ V. Then, (u ⊕ v) ⊕ w = (uv^(-1)) ⊕ w = (uv^(-1))w^(-1) = u(vw)^(-1) = u ⊕ (vw)^(-1) = u ⊕ (v ⊕ w). Thus, addition is associative.

Let u, v ∈ V. Then, u ⊕ v = uv^(-1) and v ⊕ u = vu^(-1). Since multiplication is commutative in the real numbers, we have uv^(-1) = vu^(-1), so u ⊕ v = v ⊕ u. Thus, addition is commutative.

Let v ∈ V. Then, v ⊕ 1 = v(1)^(-1) = v. Thus, V has an additive identity.

Let v ∈ V. Then, v ⊕ v^(-1) = v(v^(-1))^(-1) = v(1) = 1, so v^(-1) is the additive inverse of v. Thus, V has additive inverses.

Let α ∈ F and v ∈ V. Then, αv = αv ∈ V since v is a positive real number. Thus, V is closed under scalar multiplication.

Let α ∈ F and u, v ∈ V. Then, α(u ⊕ v) = α(uv^(-1)) = αu(αv)^(-1) + αv(αu)^(-1) = αu ⊕ αv. Thus, scalar multiplication is distributive over vector addition.

Let α, β ∈ F and v ∈ V. Then, (α + β)v = (α + β)v ⊕ v^(-1)

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Answer:

Part A: 13.5 meters

Part B: 3.25 hours

Step-by-step explanation:

Work shown

The probability that it is not raining if the flight leaves on time is 0.9.

Let's define the events:

A: It is raining

B: The flight is delayed

We have,

P(A) = 0.19 (probability that it will rain)

P(B) = 0.1 (probability that the flight will be delayed)

P(A ∩ B) = 0.07 (probability that it will rain and the flight will be delayed)

Using the formula for conditional probability, we have:

P(A' | B') = P(A' ∩ B') / P(B')

Since A' and B' are complementary events (if it's not raining, then the flight is leaving on time), we can rewrite the formula as:

P(A' | B') = P(B' | A') x P(A') / P(B')

We know that P(A) + P(A') = 1, so P(A') = 1 - P(A).

Now, let's substitute the given values into the formula:

P(A' | B') = (P(B' | A') x (1 - P(A))) / P(B')

P(B' | A') represents the probability that the flight is leaving on time given that it's not raining.

We know that:

P(B') = 1 - P(B) = 1 - 0.1 = 0.9

we can estimate P(B' | A') as:

P(B' | A') ≈ P(B') = 0.9

Now we can substitute the values into the formula:

P(A' | B') ≈ (0.9 x (1 - 0.19)) / 0.9

P(A' | B') ≈ 0.81 / 0.9

P(A' | B') ≈ 0.9

Therefore, the probability that it is not raining if the flight leaves on time is 0.9.

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We have `f(a) = (a+7)/a`, `f(a+h) = (a+h+7)/(a+h)`, and the difference quotient is `(h(a+7))/(ah+h^2)`.

Given a function `f(x)` is defined by `f(x) = (x+7)/x`.

We need to find `f(a)`, `f(a+h)`, and the difference quotient `(f(a+h)-f(a))/h` where `h≠0`.

Solution:

`f(x) = (x+7)/x`

At `x=a`, we have

`f(a) = (a+7)/a`.

At `x = a + h`,

we have `

f(a+h) = [(a+h)+7]/(a+h)`.

So,

`f(a+h) = (a+h+7)/(a+h)`.

Now,

`f(a+h)−f(a)` is `[(a+h)+7]/(a+h) − (a+7)/a`.

LCM of `(a+h)` and `a` is `a(a+h)`.

So, we get `f(a+h)−f(a)` as `(a+h)(a+7)−a(a+h+7)/a(a+h)`.

On simplification, we have `f(a+h)−f(a)` as `(ah+7h)/(a(a+h))`.

Now, `(f(a+h)−f(a))/h` is `(ah+7h)/(ah+h^2)`.

On simplification, we have `(f(a+h)−f(a))/h` as `(h(a+7))/(ah+h^2)`.

Hence, `f(a) = (a+7)/a`, `f(a+h) = (a+h+7)/(a+h)`, and the difference quotient is `(h(a+7))/(ah+h^2)`.

Given a function `f(x)` is defined by `f(x) = (x+7)/x`. We have found `f(a)`, `f(a+h)`, and the difference quotient `(f(a+h)-f(a))/h` where `h≠0`. Thus, we have `f(a) = (a+7)/a`, `f(a+h) = (a+h+7)/(a+h)`, and the difference quotient is `(h(a+7))/(ah+h^2)`.

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This statement is true

A probability is a numerical value that indicates the chance, or likelihood, of a specific event occurring. Probability is the measure of the likelihood of a random event happening, and it is expressed as a number between 0 and 1, with 0 implying that the event would never occur and 1 implying that it is certain to happen.

The probability of an event happening is referred to as its likelihood. Probability can be expressed as a fraction, percentage, or decimal, and it is a vital tool in statistics. It is frequently utilized in mathematics to estimate real-world situations that involve random variables such as coin flips, weather patterns, stock market trends, and even sporting events.

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Answer:

Step-by-step explanation: b

8-5 = 3

8+5 = 13

Answer:

the corect answer for this question is (-x,y)

Answer:

x = 3

Step-by-step explanation:

4x + 3 = 2x + 9
1. Remove 3 from both sides
4x = 2x + 6
2. Remove 2x from both sides
2x = 6
3. x = 3

Answer:

here is the answer

hope it helps u

stay safe and healthy

{ BTS ARMY GIRL }

Rashmi

Answer:

looks like 2

Step-by-step explanation:

Points where two lines cross are solutions they share

For the given fraction, "Yes" for 8/18 and 12/27, and "No" for 20/36 and 24/45.

The first step in determining whether fractions are equivalent is to simplify them. This involves finding the greatest common factor (GCF) of the numerator and denominator, and dividing both by it. Simplifying fractions allows us to express them in their simplest form, making it easier to compare them to other fractions.

Let's start by simplifying the given fractions:

20/36 = 5/9

8/18 = 4/9

24/45 = 8/15

12/27 = 4/9

As we can see, two of the fractions simplify to 4/9, while the other two do not.

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Answer:

These are the answers

Step-by-step explanation:

The orbit of a planet is an ellipse, with the Sun at one of the two foci.

A line segment joining a planet and the Sun sweeps out equal areas during equal intervals of time.

The square of the orbital period of a planet is proportional to the cube of the semi-major axis of its orbit.

Hope it helped !

Answer:

The universal law of gravitation states that every particle attracts every other particle in the universe with a force that is directly proportional to the ...

Bernoulli formula: define focal length

Si unit of thrust: newton's third law of motion examples

Step-by-step explanation:

1 / (sin 10°) − √3 / (cos 10°)

Multiply top and bottom of the first fraction by ½ cos 10°.

½ cos 10° / (½ cos 10° sin 10°) − √3 / (cos 10°)

Multiply top and bottom of the second fraction by ½ sin 10°.

½ cos 10° / (½ cos 10° sin 10°) − ½√3 sin 10° / (½ sin 10° cos 10°)

Combine fractions.

(½ cos 10° − ½√3 sin 10°) / (½ sin 10° cos 10°)

Change ½ to sin 30°, and change ½√3 to cos 30°.

(sin 30° cos 10° − cos 30° sin 10°) / (½ sin 10° cos 10°)

Use angle sum formula.

sin(30° − 10°) / (½ sin 10° cos 10°)

sin 20° / (½ sin 10° cos 10°)

Multiply top and bottom by 4.

4 sin 20° / (2 sin 10° cos 10°)

Use double angle formula.

4 sin 20° / sin 20°

4

We are given the equation 1 / sin(10°) - √3 / cos(10°) = 4, and want to prove that 1 / sin(10°) - √3 / cos(10°) equals 4.

Let's start by combining the expressions '1 / sin(10°)' and '√3 / cos(10°)' in the expression '1 / sin(10°) - √3 / cos(10°).'

1 / sin(10°) - √3 / cos(10°)

= cos(10°) - √3sin(10°) / sin(10°) \(*\) cos(10°)

Now let's multiply the numerator and denominator by a common value. In this case it's most suitable to multiply both by 2. We will receive the expression 2(cos(10°) - √3sin(10°)) / 2(sin(10°) \(*\) cos(10°)). We can further simplify this expression knowing that 2(sin(10°) \(*\) cos(10°)) = 2sin(20°).

2(cos(10°) - √3sin(10°)) / 2sin(20°)

We can now bring the two on the bottom to the numerator, becoming 1 / 2.  Remember that the ' 1 / 2 ' will be distributed now. After the distribution we receive the expression 4( 1 / 2(cos(10°) - √3 / 2sin(10°)) /  2sin(20°). We can now use the trivial functions 1 / 2 = sin(30°), and √3 / 2 = cos(30°).

4(sin(30°)(cos(10°) - cos(30°)(sin(10°) ) / sin(20°))

= 4((sin(30 - 10°)) / sin(20°) = 4

The surface area of the composite solid is 286 square feet.

To calculate the surface area of this composite solid,

Find the areas of each individual shape and then add them up.

The rectangular prism has a surface area of,

2(11x2 + 11x2 + 2x11)

= 2(22 + 22 + 22)

= 2(66)

= 132 square feet.

The square pyramid has a base area of,

11x11 = 121 square feet.

The area of each triangular side can be found using the formula,

1/2 x base x height.

The base of each triangle is 11 feet (since it is the same as the length of the base of the pyramid), and the height of each triangle is 7 feet.
So each triangle has an area of 1/2 x 11 x 7 = 38.5 square feet.

There are four triangular sides, so the total area of the triangular sides is 4 x 38.5 = 154 square feet.

Adding the surface area of the rectangular prism and the square pyramid, we get

132 + 154 = 286 square feet.

Therefore, the correct answer is 286 square feet.

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The information that would be true for a parallelogram to also be a rhombus is "Diagonals are perpendicular". So, option b is correct.

For a parallelogram,

For a rhombus,

So, to make a parallelogram to be a rhombus, the diagonals of the parallelogram must be perpendicular.

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The predicted number of chirps per second when the temperature is 55 degrees Fahrenheit is 190.

The temperature and the number of chirps per second are linearly related, as shown by the trend line equation y = 3x + 25, where x is the temperature in degrees Fahrenheit and y is the number of chirps per second.

We must enter x = 55 into the equation and find y in order to estimate the number of chirps per second at a temperature of 55 degrees Fahrenheit

y = 3x + 25

y = 3(55) + 25

y = 165 + 25

y = 190

190 chirps are therefore expected per second at a temperature of 55 degrees Fahrenheit. Therefore, the predicted number of chirps per second when the temperature is 55 degrees Fahrenheit is 190.

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Answer:

It is 9

Step-by-step explanation:

\(4(y + z)\)

when y is 5, z is 4

substitute:

\( = 4(5 + 4) \\ = 36\)

Answer:

y=5 z = 4 - substitution

4 (5 + 4) = 4 (9) = 36

First figure

we have that the triangles

ABC is congruent with triangle DCB by HL (hypotenuse leg)

Second figure

The triangles are congruent by Angle-Side- Angle

Third figure

The triangles are congruent by Side-angle -side

Answer:

heres the graph

Step-by-step explanation:

The relevant long-run proportion of interest and use it to make predictions or draw conclusions about the population as a whole.

The relevant long-run proportion of interest refers to the proportion or probability of an event occurring over a large number of trials or in the long run.

It is the proportion or probability that we would expect to observe if we were to repeat the same experiment or process a large number of times under similar conditions.

For example,

If we are interested in the proportion of defective products produced by a manufacturing process.

The relevant long-run proportion of interest would be the proportion of defective products that we would expect to observe if we were to produce a large number of products using the same manufacturing process.

This proportion can be used to assess the quality and effectiveness of the manufacturing process and to make decisions about how to improve it.

Similarly,

In statistical inference, we often use the relevant long-run proportion of interest to make inferences about the population parameter based on a sample.

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The correct option is B) x[] = {36, 78, 12, 24} and y[] = {36, 78, 12, 24}.

The results after the given code was executed is x[] = {36, 78, 12, 24} and y[] = {36, 78, 12, 24}.

An array is a group of elements the same type that are stored in adjacent memory locations and may be accessed individually by using a reference to a unique identifier.

Some key features regarding the array are-

Now, for the given programme,

for(int a = 0; a < x.length; a++)

{

x[a] = y[a];

y[a] = x[a];

}

After execution of the programme, the result obtain will be;

x[] = {36, 78, 12, 24}

y[] = {36, 78, 12, 24}.

Therefore, the output of the given programme is obtained.

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The complete question is-

What would be the results after the following code was executed?

int[] x = {23, 55, 83, 19};

int[] y = {36, 78, 12, 24};

for(int a = 0; a < x.length; a++)

{

x[a] = y[a];

y[a] = x[a];

}

A) x[] = {36, 78, 12, 24} and y[] = {23, 55, 83, 19}

B) x[] = {36, 78, 12, 24} and y[] = {36, 78, 12, 24}

C) x[] = {23, 55, 83, 19} and y[] = {23, 55, 83, 19}

D) This is a compilation error.

The solution is : The volume of the cone = 28 inch³

Here, we have,

First let's consider the formula for the volume of the shapes

For cylinder

Volume= πr²h

For cone

Volume= 1/3 πr²h

So we'd notice that no much difference except that the volume if a cylinder is divided by two to get that off a cone.

So if the volume of the cylinder is

84π inch

The volume of the cone is 84/3 = 28

The volume of the cone = 28 inch³

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complete question:

A cone and a cylinder have the same base and height, as shown below. A cone is inside of a cylinder with same base and height. The volume of the cylinder is 84 pi inches squared What can be concluded about the volume of the cone? Check all that apply.

(fg)(x)= x³ - 7x² - 9x + 8

domain is (-∞,∞)

Given: f(x)= x-8, g(x)= x² +1x - 1

To find (fg)(x) we multiply f(x) and g(x)

(fg)(x) = f(x) * g(x)

(fg)(x)= (x-8) (x²+x-1)

(fg)(x)= x³ + x² - x - 8x² - 8x +8

(fg)(x)= x³  - 7x²  - 9x + 8

we know, domain for all cubic function is set of all real numbers

domain is (-∞,∞)

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Answer:

2.645751311064591 (2.65 rounded to nearest hundredth)

Step-by-step explanation:

you take 7 and you try and find the closest number down to the furthest numbers. Or if you are using a calculator, you put 7, then you press the 2√x

(a) product A is increasing.

(b) The highest percentage change in 4th year.

Function is a combination of different types of variable and constants.

A function is denoted by f(x).

The given function is,

f(x) = 72(1.25)ˣ

(a)

At starting when x=0,

f(0)= 72×1 = 72

After 1 year, the price is  

f(1) = 72 × 1.25 = 90

After 2 year, the price is  

f(2) = 72 × (1.25)² = 112.5

After 3 year, the price is  

f(3) = 72 × (1.25)³ = 140.625

After 4 year, the price is  

f(3) = 72 × (1.25)⁴ = 175.78

The function f(x) is in increasing order, implies that product A is increasing.

(b)

The percentage change for 2nd year = 30%

The percentage change for 3rd year = 30 %

The percentage change for 4th year = 30.004

The highest percentage is  4th year.

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Answer:

1.875 gallons

Step-by-step explanation:

Data

distance = 50 mi

volume of gas = 1 gal

volume for 150 km = ?

Process

1.- Convert 50 mi into kilometers

                        1 mile ------------------- 1.6 km

                         x        ------------------ 150 km

                         x = (150 x 1)/1.6

                         x = 93.75 mi

2.- Calculate the gallons wasted

                         1 gallon ----------------- 50 mi

                         x            ---------------- 93.75 mi

                         x = (93.75 x 1)/50

                         x = 93.75/50

                        x = 1.875 gallons

Answer:

yeah your right

Step-by-step explanation: