You want to support the hypothesis that the standard deviation of semester units taken by SJSU students is over 4 semester units. You will sample the GPAs of 40 SJSU students. Select the correct model from the list. - One sample, Chi-square test of variance - Unequal variance t-test - Matched pairst-test - One sample. Z test of proportion - F-test comparing variances - One sample, t test for mean - Pooled variance t-test

Answers

Answer 1

The Chi-square test of variance is appropriate to use.

The correct model from the list to support the hypothesis that the standard deviation of semester units taken by SJSU students is over 4 semester units by sampling the GPAs of 40 SJSU students is the "One sample, Chi-square test of variance. "The Chi-square test of variance is used to determine whether the variance of a population is equal to a specific value. In the Chi-square test of variance, the null hypothesis is that the variance of the population is equal to the specific value or the variance is not greater than the specific value. The Chi-square test of variance is used when the sample is random, the sample is normally distributed, and the variable is measured on a continuous scale. In the given problem, the researcher wants to support the hypothesis that the standard deviation of semester units taken by SJSU students is over 4 semester units.

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Related Questions

Please choose the correct answer, and recieve brainliest.

Along with Louisiana, Napoleon sought to reestablish French control over which other New World colony?
Question 1 options:

Saint-Domingue

Saint Lucia

Saint Marine

Saint Alamo

Answers

Answer:

Step-by-step explanation:

Even though you selected math as the category, I believe the answer is A, Saint-Domingue.

What happens to the value of the expression b-1b−1b, minus, 1 as bbb increases?

Answers

Answer:

the answer is A It increases.

that's the right answer go add me snap cutegirllove17

Step-by-step explanation:

have a good day

the horizontal, continuous lintel on a classical building supported by columns is called a stylobate. T/F

Answers

The statement "the horizontal, continuous lintel on a classical building supported by columns is called a stylobate" is False.

The horizontal, continuous lintel on a classical building supported by columns is called an entablature, while the stylobate is the platform on which the columns stand.

In classical architecture, the entablature is the horizontal, continuous lintel that rests on top of the columns and consists of three parts: the architrave (the bottom layer), the frieze (the middle layer), and the cornice (the top layer). The entablature helps to unify the columns and create a sense of continuity across the facade of the building.

The stylobate, on the other hand, is the platform or base upon which the columns stand, and is usually elevated above ground level. Together, the stylobate and entablature form the colonnade, a defining feature of classical architecture.

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Please help!
Above is the worlds largest pizza, coming in at a whopping 122ft in diameter. What is the area of the pizza? Round your answer to the nearest whole number.

Please help!Above is the worlds largest pizza, coming in at a whopping 122ft in diameter. What is the

Answers

Answer:

11,695 ft²

Step-by-step explanation:

Since the pizza is circular

Area of a circle = π r²

where r is the radius

but radius is the diameter divided by 2

\(r \: = \: \frac{122}{2} \\ r \: = \: 61ft\)\(area \: = \: \pi \: \: {r}^{2} \\ area \: \: = \: \frac{22}{7} \times {61}^{2} \\ area \: = \: 11695 \: {ft}^{2} \)

What is the constant of proportionality in the equation y 5/4 x ?

Answers

Answer:

Firest y5/ 4x = y5 - 4 /4X -4

x= y

Help with slope pleaseee
^^

Help with slope pleaseee^^

Answers

Write a graph that’s all
You have to do to get the answer

Rewrite the following polynomial in standard form.1+ 10x − 2x³ + x5-x^2-9

Answers

Hello!

We have the following polynomial:

\(1+10x-2x^3+x^5-x^2-9\)

To put it in the standard form, we have to start with the highest exponent on the left and then write in decreasing order. Look:

\(\begin{gathered} x^5-2x^3-x^2+10x-9+1 \\ \end{gathered}\)

We can simplify it by solving -9 +1, look:

\(x^5-2x^3-x^2+10x-8\)

A triangle has an area of 160 square inches and the base of the triangle is 40 inches. What is the height of the triangle?

Answers

Answer:

8 inches

Step-by-step explanation:

h = 2 A/b

A = 160

b = 40

160/40 = 4

2 x 4 = 8 inches

The height of the triangles is 8in.

hope this helps!! p.s. i really need brainliest :)

Which equation models the following word problem?The sum of three consecutive integers is 22 more than twice the largest.Find the integers.

Which equation models the following word problem?The sum of three consecutive integers is 22 more than

Answers

The three consecutive integers are

x, (x+1), and (x+2)

Where (x+2) is the largest of them.

22 more than means to add 22.

Twice the largest means 2 times the largest.

So, let us equate the sum of three consecutive integers to 22 plus 2 times (x+2)

\((x)+(x+1)+(x+2)=22+2(x+2)\)

Therefore, the above equation correctly models the given word problem.

What is question asking??? All I need is one example and I get the rest I just don’t understand the assignment

What is question asking??? All I need is one example and I get the rest I just dont understand the assignment

Answers

So basically you have to drag an angle to the box, example drag DFA to the box, then add what angle it is equal to. You have to calculate the angle and drag it opposite to the DFA. For DFA, it will be 58.

70 points! Will mark brainliest! What is 2sqrt5 rounded to the nearest tenth? Random answers will be reported

Answers

Answer:

4.5

Step-by-step explanation:

I just use a calculator for this.

2 sqrt 5 = 4.4721

If we round off to the nearest tenth, it would be 4.5.

Answer:

Solution given:

2√5 =4.5 is your answer.

Find the absolute maximum and absolute minimum values of the function f(x)=x^3−12x^2−27x+8 over each of the indicated intervals.
(a) Interval = [−2,0]. (b) Interval = [1,10]. (c) Interval = [−2,10].

Answers

The value of Absolute maximum are (a) 8, (b) -30.36, (c) -10 and the Absolute minimum are (a) -10, (b) -362.39, (c) -362.39.

We are given a function:f(x) = x³ - 12x² - 27x + 8We need to find the absolute maximum and absolute minimum values of the function f(x) over each of the indicated intervals. The intervals are:

a) Interval = [-2, 0]

b) Interval = [1, 10]

c) Interval = [-2, 10]

Let's begin:

(a) Interval = [-2, 0]

To find the absolute max/min, we need to find the critical points in the interval and then plug them in the function to see which one produces the highest or lowest value.

To find the critical points, we need to differentiate the function:f'(x) = 3x² - 24x - 27

Now, we need to solve the equation:f'(x) = 0Using the quadratic formula, we get: x = (-b ± √(b² - 4ac)) / 2a

Substituting the values of a, b, and c, we get:

x = (-(-24) ± √((-24)² - 4(3)(-27))) / 2(3)x = (24 ± √(888)) / 6x = (24 ± 6√37) / 6x = 4 ± √37

We need to check which critical point lies in the interval [-2, 0].

Checking for x = 4 + √37:f(-2) = -10f(0) = 8

Checking for x = 4 - √37:f(-2) = -10f(0) = 8

Therefore, the absolute max is 8 and the absolute min is -10.(b) Interval = [1, 10]

We will follow the same method as above to find the absolute max/min.

We differentiate the function:f'(x) = 3x² - 24x - 27

Now, we need to solve the equation:f'(x) = 0Using the quadratic formula, we get: x = (-b ± √(b² - 4ac)) / 2a

Substituting the values of a, b, and c, we get:

x = (-(-24) ± √((-24)² - 4(3)(-27))) / 2(3)

x = (24 ± √(888)) / 6

x = (24 ± 6√37) / 6

x = 4 ± √37

We need to check which critical point lies in the interval [1, 10].

Checking for x = 4 + √37:f(1) = -30.36f(10) = -362.39

Checking for x = 4 - √37:f(1) = -30.36f(10) = -362.39

Therefore, the absolute max is -30.36 and the absolute min is -362.39.

(c) Interval = [-2, 10]

We will follow the same method as above to find the absolute max/min. We differentiate the function:

f'(x) = 3x² - 24x - 27

Now, we need to solve the equation:

f'(x) = 0

Using the quadratic formula, we get: x = (-b ± √(b² - 4ac)) / 2a

Substituting the values of a, b, and c, we get:

x = (-(-24) ± √((-24)² - 4(3)(-27))) / 2(3)x = (24 ± √(888)) / 6x = (24 ± 6√37) / 6x = 4 ± √37

We need to check which critical point lies in the interval [-2, 10].

Checking for x = 4 + √37:f(-2) = -10f(10) = -362.39

Checking for x = 4 - √37:f(-2) = -10f(10) = -362.39

Therefore, the absolute max is -10 and the absolute min is -362.39.

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I will rate as soon as I can, thank you.
a) Show | > is normalized
b) Show it's an eigenvector of the lowering operator c) how is it a eigenvector of ^t ?
d) what is its eigenvalue
∣α⟩=e−21​∣α∣2∑n=0[infinity]​n!​αn​∣n⟩

Answers

a) |α⟩ is normalized if α = |α|² and α is a positive real number.

b) |α⟩ is an eigenvector of the lowering operator with eigenvalue λ = |α|.

c) |α⟩ is also an eigenvector of the transpose operator t with eigenvalue μ = |α|.

d) The eigenvalue of |α⟩ with respect to t is μ = |α|.

a) To show that |α⟩ is normalized, we need to compute its norm, which is given by ⟨α|α⟩. Let's calculate it:

⟨α|α⟩ = e(-|α|²) ∑n=0 [infinity] (n!/\(\alpha^n\) ∑m=0 [infinity] (m!/\(\alpha^m\)) ⟨n|m⟩

Since the states |n⟩ form an orthonormal basis, ⟨n|m⟩ = δ_n,m (Kronecker delta), which equals 1 when n = m and 0 otherwise. Therefore, the sum simplifies to:

⟨α|α⟩ = e(-|α|²) ∑n=0 [oo] (n!/αⁿ)

Using the identity eˣ = ∑k=0 [infinity] (\(x^k\) / k!), we can rewrite the sum as:

⟨α|α⟩ = e(-|α|²) \(e^\alpha\) = e(α - |α|²)

Now, to show that |α⟩ is normalized, we need to confirm that ⟨α|α⟩ = 1:

e(α - |α|²) = 1

This equation holds true when α - |α|² = 0, which implies that α = |α|². Since α is a complex number, we can write it as α = |α|e(iθ). Substituting this into the equation, we get:

|α|e(iθ) = |α|²

Dividing both sides by |α|, we obtain:

e(iθ) = |α|

This equation is satisfied when θ = 0, which means α is a positive real number. Therefore, |α⟩ is normalized.

b) To show that |α⟩ is an eigenvector of the lowering operator, we need to demonstrate that a|α⟩ = λ|α⟩, where a is the lowering operator. The lowering operator is defined as a = ∑n=0 [oo] √(n+1) |n⟩⟨n+1|.

Let's compute a|α⟩:

a|α⟩ = ∑n=0 [oo] √(n+1) |n⟩⟨n+1| (\(e^{-1/2}\)|α|²/2 ∑m=0 [infinity] (m!/α) |m⟩)

We can interchange the order of the sums and use the property of the Kronecker delta to simplify the expression:

a|α⟩ = ∑n=0 [oo] √(n+1) (e(-1/2)|α|²/2 (n+1)!/αⁿ⁺¹) |n⟩

Next, we can factor out the common terms:

a|α⟩ = (\(e^{-1/2}\)|α|²/2) ∑n=0 [oo] √(n+1) (n+1)!/αⁿ⁺¹ |n⟩

Now, notice that the term in the sum is precisely the coefficient of αⁿ in the series expansion of eᵃ. Therefore, we can rewrite the expression as:

a|α⟩ = (\(e^{-1/2}\)|α|²/2) eᵃ |α⟩

Since |α⟩ is defined as \(e^{-1/2}\)|α|²/2 ∑n=0 [oo] (n!/αⁿ) |n⟩, we can simplify further:

a|α⟩ = |α| |α⟩

Therefore, we have shown that |α⟩ is an eigenvector of the lowering operator with eigenvalue λ = |α|.

c) To show that |α⟩ is an eigenvector of the t operator, we need to demonstrate that t |α⟩ = μ |α⟩, where t is the transpose operator.

The transpose operator acts on the ket vectors by taking the complex conjugate of their components. Therefore, we have:

t |α⟩ = (t \(e^{-1/2}\)|α|²/2) ∑n=0 [oo] (n!/αⁿ) (t |n⟩)

Since the transpose of |n⟩ is its bra vector, we can write:

t |α⟩ = (t \(e^{-1/2}\)|α|²/2) ∑n=0 [oo] (n!/αⁿ) ⟨n|

Now, using the definition of the transpose of a complex number, we have:

t |α⟩ = (\(e^{-1/2}\))|α|²/2) ∑n=0 [oo] (n!/αⁿ) ⟨n|

Finally, notice that the expression inside the sum is the same as the coefficient of αⁿ in the series expansion of eᵃ. Therefore, we can simplify further:

t |α⟩ = (\(e^{-1/2}\)|α|²/2) eᵃ ∑n=0 [oo] (n!/αⁿ) ⟨n|

Since |α⟩ is defined as \(e^{-1/2}\)|α|²/2 ∑n=0 [oo] (n!/αⁿ) |n⟩, we can rewrite the expression as:

t |α⟩ = |α| |α⟩

Therefore, |α⟩ is an eigenvector of the t operator with eigenvalue μ = |α|.

d) The eigenvalue of |α⟩ with respect to the t operator is μ = |α|.

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what if? you are designing a rectangular corral with an area of 800 square meters. a barn will form one side of the corral. you want to minimize the amount of fencing that you need for the other three sides of the corral. this will include an opening that is 3 meters wide where a gate will be placed. how many meters of fencing do you need?

Answers

Approximately 76.8 meters of fencing are needed to construct the rectangular corral with an area of 800 square meters and a barn forming one side with an opening of 3 meters wide .

To minimize the amount of fencing needed for the three sides of the rectangular corral, we want to make the side opposite the barn as small as possible. Let's denote the length of the barn as x, and the width of the corral as y. We have the following equation based on the area of the corral:

xy = 800

We also know that there is a 3-meter opening in the corral, which means the length of the opposite side is x - 3. To minimize the amount of fencing, we need to minimize the total length of the three sides:

L = x + 2(y - 3)

Substituting the first equation into the second equation, we get:

L = x + 2((800/x) - 3)

Taking the derivative of L with respect to x and setting it to zero, we get:

dL/dx = 0

1 - (1200/x^2) = 0

x^2 = 1200

x ≈ 34.6 meters

Substituting x back into the equation for y, we get:

y ≈ 23.1 meters

Therefore, the total length of fencing needed is:

L = 34.6 + 2(23.1 - 3) = 76.8 meters

So, approximately 76.8 meters of fencing are needed to construct the rectangular corral with an area of 800 square meters and a barn forming one side with an opening of 3 meters wide .

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determine whether the random variable x is discrete or continuous. explain. let x represent the amount of rain that fell in spring

Answers

The random variable x, which represents the amount of rain (in inches) that fell this spring, is a continuous random variable.

In this context, a continuous random variable is one that can take on any value within a certain range. The amount of rain can be measured with different levels of precision, such as 2.5 inches or 2.5342 inches, indicating that there is an infinite number of possible values between any two given points.

On the other hand, a discrete random variable would involve countable outcomes or a finite number of possible values. For example, if we were counting the number of rainy days during the spring, the random variable would be discrete since it can only take whole number values.

In the case of measuring the amount of rain, there can be infinitely many possible values within any given range, and therefore, it is considered a continuous random variable. So, the correct answer is option A.

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The complete question is:

Decide whether the random variable x is discrete or continuous. Explain your reasoning Let x represent the amount of rain (in inches) that fell this spring. Is the random variable x discrete or continuous? Choose the correct answer below.

A. Continuous, because x is a random variable that cannot be counted.

B. Discrete, because x is a random variable that can be counted.

Enola is going to invest in an account paying an interest rate of 5.1% compounded continuously. How much would Enola need to invest, to the nearest cent, for the value of the account to reach $12,800 in 10 years?

Answers

Answer:

  $7,686.34

Step-by-step explanation:

You want to know the amount that needs to be invested at 5.1% compounded continuously for 10 years to achieved an account value of $12,800.

Compound interest

The value of an account accumulating interest at rate r compounded continuously is ...

  A = P·e^(rt)

where P is the principal invested and t is the number of years.

We want to find P for A=12800, r=0.051, t=10.

  12800 = P·e^(0.051·10)

  12800·e^-0.51 = P ≈ 7686.34

Enola needs to invest $7,686.34 for the account value to reach $12,800 in 10 years.

__

Additional comment

Dividing by e^0.51 is the same as multiplying by e^-0.51.

<95141404393>

Enola is going to invest in an account paying an interest rate of 5.1% compounded continuously. How much

Enola needs to invest $7,686.34 for the account value to reach $12,800 in 10 years.

What's the amount?

You want to know the amount that needs to be invested at 5.1% compounded continuously for 10 years to achieved an account value of $12,800.

The value of an account accumulating interest at rate r compounded continuously is ...

 A = P·\(e^{rt}\)

where P is the principal invested and t is the number of years.

We want to find P for A=12800, r=0.051, t=10.

 12800·\(e^{-0.51 }\) = P ≈ 7686.34

Enola needs to invest $7,686.34 for the account value to reach $12,800 in 10 years.

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In a bag are 100 marbles: 10 red, 20 white, 30 blue, and 40 green. If one marble is drawn from the bag, what is the probability that the marble will not be red, white, or blue?

Answers

Answer: 60/100 or 6/10 or 3/5

Step-by-step explanation:

We get 10+20+30=60.

We Covert to a fraction, 60/100

Reduce Down. 6/10

Reduce again, 3/5

Final answer is 3/5, the chance of it not being Red, White, or Blue is 3/5.

To get from one term to the next in a sequence, we multiply by 2 and then
add 4.
The third term in the sequence is 48.
What is the first term in the sequence?

Answers

Answer: the first term in the sequence is 9.

Step-by-step explanation:

Let the primary term be x.

At that point the moment term is 2x + 4.

And the third term is 2(2x + 4) + 4 = 4x + 12.

Since the third term is given as 48, we will set up an condition and unravel for x:

4x + 12 = 48

4x = 36

x = 9

A digital scale reports a 10 kg weight as weighing 8.975 kg. Which of the following is true?

Answers

Answer:

they are both true I guess. I just need points to get more answers. hopefully you find the right answer

Answer:

the scale is acurate but not percise

Step-by-step explanation:

Tell whether the difference of two positive integers is always, sometimes, or never positive.

Answers

The difference of two positive integers is sometimes positive.

How to illustrate the information?

For example the difference of 3 and 5 will give a value of -2. This is negative.

On the other hand, the difference of 10 and 6 is 4. Therefore, this is positive.

Therefore, the difference of two positive integers is sometimes positive. It can also be negative.

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Find 375g as a percentage of 15kg.

Answers

Answer:

\( \sf \: 375g \: is \: 2.5\% \: of \: 15kg\)

Step-by-step explanation:

Conversion of 15 kg into grams,

→ 1 kg = 1000 g

→ 15 kg = 15000 g

Let's find the percentage,

→ (375g ÷ 15kg) × 100

→ (375/15000) × 100

→ 0.025 × 100

→ 2.5%

Hence, the answer is 2.5%.

a roulette wheel has the numbers 1 through 36, 0, and 00. a bet on three numbers pays 11 to 1 (that is, if you bet $1 and one of the three numbers you bet comes up, you get back your $1 plus another $11). how much do you expect to win with a $1 bet on three numbers? hint [see example 4.] (round your answer to the nearest cent.)

Answers

With a $1 bet on three numbers, you can expect to win $12.33. So, the expected winnings for a $1 bet on three numbers in a roulette wheel is approximately $0.95.

Here's how to calculate it:
- There are 38 possible outcomes on the roulette wheel (1 through 36, 0, and 00).
- Your bet covers 3 of those outcomes, so your probability of winning is 3/38.
- The payout for a winning bet is $1 plus another $11, for a total of $12.
- To find your expected winnings, multiply the probability of winning by the payout:
  (3/38) x $12 = $0.947
- Rounded to the nearest cent, that's $0.95.
So with a $1 bet on three numbers, you can expect to win about $0.95 each time, on average. Over many bets, your total winnings will approach $12.33.

In order to calculate the expected winnings from a $1 bet on three numbers in a roulette wheel, we can follow these steps:
1. Determine the probability of winning the bet. In a roulette wheel with 38 numbers (1-36, 0, and 00), you bet on three numbers, so the probability of winning is 3/38.
2. Determine the amount you would win if your bet is successful. Since the bet pays 11 to 1, you would get back your original $1 plus another $11, for a total of $12.
3. Multiply the probability of winning by the amount you would win. This will give you the expected winnings for a single $1 bet:
(3/38) * $12 = $0.947
So, the expected winnings for a $1 bet on three numbers in a roulette wheel is approximately $0.95 (rounded to the nearest cent).

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A roast turkey is taken from an oven when its temperature has reached 185°F and is placed on a table in a room where the temperature is 75°F. (Round your answers to the nearest whole number.)(a) If the temperature of the turkey is 150°F after half an hour, what is the temperature after 55 minutes?T(55) = 1 °F(b) When will the turkey have cooled to 105°?t = 2 min

Answers

Using unitary method, turkey's temperature after 55 minutes is 120.815° Also, it will take approximately 68 minutes for the turkey to cool down to 105°.

Now, According to the question:

What is unitary method?

The formula of the unitary method is to find the value of a single unit and then multiply the value of a single unit to the number of units to get the necessary value.

Reduction in temperature after 30 minutes = 185° - 150° = 35°

Reduction in temperature after 1 minute = 35/30 = 1.167°

Reduction in temperature after 55 minutes = 55 × 1.167 = 64.185°

Temperature after 50 minutes = 185° - 64.185° = 120.815°

Decrease in temperature when the turkey has cooled down to 105° = 185° - 105° = 80°

Time taken by the turkey to cool down 80° = 80/1.167 = 68.55 minutes.

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Cheese sticks that were previously priced at "10 for $1" are now "4 for $1". Find each percent change

Answers

Answer:

The price per cheese stick was increased by 150%.

The amount of cheese sticks per $1.00 has decreased by 60%.

Step-by-step explanation:

The price per cheese stick was $0.10

1.00 (dollar) divided into 10 (cheese sticks) gives you 0.1, which means each cheese stick costs $0.10

The current price per cheese stick is $0.25

1.00 (dollar) divided into 4 (cheese sticks) gives you 0.25, which means each cheese stick costs $0.25

That means the price per cheese stick was raised by 150%.

That also means the amount of cheese sticks you could buy for $1.00 has decreased by 60%.

Converting Real Life Scale.. -Page 2-
NEED HELP ASAPPP 50 POINTS

(picture is linked belowww)


tysm like fr <33

Converting Real Life Scale.. -Page 2-NEED HELP ASAPPP 50 POINTS(picture is linked belowww)tysm like fr

Answers

The table with the scale measurements is given by the image shown at the end of the answer.

How to obtain the measurements?

The measurements are obtained applying the proportion given for each table.

The symbols are given as follows:

': feet.'': inches.

For the first table, we have that every inch on the table represents one feet in real life, hence:

2'' on the paper represents 2' in real life.2' on the paper represents 24' in real life. (as one feet = 12 inches, hence 24 inches = 24 feet according to the scale).0.5'' on the paper represents 0.5' in real life.9'' on the paper represents 9' in real life.

For the second table, we have that every inch on the paper represents two feet in real life, hence the measurements are given as follows:

2'' on the paper represents 4' in real life.2' on the paper represents 48' in real life.0.5'' on the paper represents 1' in real life.9'' on the paper represents 18' in real life.

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Converting Real Life Scale.. -Page 2-NEED HELP ASAPPP 50 POINTS(picture is linked belowww)tysm like fr

What's the numerator for the following
rational expression?
3 5 ?
+
k
74
k
k
Enter the correct answer.

Answers

The numerator for the given rational expression is 3 + 5k.

In the given rational expression, (3 + 5k) represents the numerator. The numerator is the part of the fraction that is located above the division line or the horizontal bar.

In this case, the expression 3 + 5k is the numerator because it is the sum of 3 and 5k. The term 3 is a constant, and 5k represents the product of 5 and k, which is a variable.

The numerator consists of the terms 3 and 5k, which are combined using addition (+). Therefore, the numerator can be written as 3 + 5k.

To clarify, the numerator is the value that contributes to the overall value of the fraction. In this case, it is the sum of 3 and 5k.

Hence, the correct answer for the numerator of the given rational expression (3 + 5k) / (74/k^2) is 3 + 5k.

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PLEASE HELP!! What is the equation of the following graph in vertex form?

PLEASE HELP!! What is the equation of the following graph in vertex form?

Answers

Answer:

             y = (x - 4)² - 4

Step-by-step explanation:

The vertex form of an equation of the parabola:  

                                                      f(x) = a(x - h)² + k

the vertex is (4, -4)  ⇒   h = 4,  k = -4

so:

  f(x) = a(x - 4)² + (-4)

    f(x) = a(x - 4)² - 4

So the right answer is the first one.

Rita plans to make a call using a calling card. For each call, rita has two options: 1. Pay $0. 49, plus an additional $0. 019 per minute. 2. Pay $0. 059 per minute. She predicts that her call will be x minutes long. Which inequality represents the statement, "rita would save money using the second option"?.

Answers

The inequality that represents Rita saving money from the second option is 0.059x < 0.49 + 0.019x

"Information available from the question"

In the question:

1. Pay $0. 49, plus an additional $0. 019 per minute.

2. Pay $0. 059 per minute.

Now, According to the question:

How to determine the inequality that represents the statement?

We have the following parameters that can be used in our computation:

1. Pay $0.49, plus an additional $0.019 per minute.

2. Pay $0.059 per minute.

These statements can be represented as

Option 1: y = 0.49 + 0.019x

Option 2: y = 0.059x

Where y is the total amount and x is the number of minutes

When she saves money, we have

Option 2 < Option 1

Substitute the known values in the above equation, so, we have the following representation

0.059x < 0.49 + 0.019x.

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9.7g of sugar is needed for every cake made. How much sugar is needed for 4 cakes?

Answers

Answer: 38.8g of sugar

Step-by-step explanation:

9.7 x 4= 38.8

an ice chest contains 8 cans of coke, 3 cans of pepsi, and 2 cans of 7up. what is the probability of pulling out an 7up

Answers

The probability of pulling out an 7up from the ice chest that contains the different drinks is 2/13.

What is the probability?

Probability determines the odds that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability of pulling out an 7up = number of 7ups / total number of drinks

2/(8 + 3 + 2)

2/13

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