the scores on a certain test are normally distributed with a mean score of 69 and a standard deviation of 4. what is the probability that a sample of 90 students will have a mean score of at least 69.4216? group of answer choices 0.1587 0.3174 0.3413 0.8413

Answer:

Step-by-step explanation:

Given function:

a.

Minimum cost is obtained at vertex.

Vertex is determined by formula x = -b/2a, in standard form of

f(x) = ax^2 + bx + c

Vertex of the given function is:

b.

Cost at vertex is:

We require a degree of freedom of 14 to create a 95% confidence interval for the population mean from a sample size of 15.

Given that,

Assume that a sample size of 15 will be used to calculate a 95% confidence interval for the population mean.

We have to find how many degrees of freedom should we utilize.

We know that,

The answer to the problem is

A 95% confidence interval is being created.

The sample size is 15 (<30). Therefore, in order to account for the decreased sample size and use the sample SD, we must adapt and use a t-value rather than a Z score.

As a reflection of sample size, it should be noted that the t-value is dependent on the degrees of freedom (df). df = n-1 is the formula used to calculate a confidence interval using the t-distribution.

Therefore, we require a degree of freedom of 14 to create a 95% confidence interval for the population mean from a sample size of 15.

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Answer:

b

Step-by-step explanation:

a) 7 and \(\frac{1}{10}. \frac{7}{10}\) = 0.07

b) 7 and 10 x 0.7 = 7 (True)

c) 7 and \(\frac{1}{10}. \frac{7}{10}\) = 0.07

d) 7 and 100 x 0.7 = 70

Answer:

19

Step-by-step explanation:

This is because since 19 is the larger odd number, 17 must be the smaller one, and 19 times 17 is 323.

Hope this helps! :)

Answer: The ratio of the side lengths of two similar figures is 2:5.

Let's assume that the dimensions of the smaller figure are 2x, 2y, and 2z, where x, y, and z are some constants. Then, the dimensions of the larger figure will be 5x, 5y, and 5z.

The ratio of the volumes of two similar figures is the cube of the ratio of their corresponding side lengths.

So, the ratio of the volumes of the smaller and larger figures will be:

(2x)^3 : (5x)^3

8x^3 : 125x^3

We can simplify this ratio by dividing both sides by the common factor of x^3:

8 : 125

Therefore, the ratio of the volumes of the smaller and larger figures is 8:125.

Step-by-step explanation:

Answer:

Step-by-step explanation:

13

Answer:

y = -3

Step-by-step explanation:

In order to answer this, we are going to have to do some division and multiplication. First, we will have to divide -42 by 14 to see how many times 14 can fit into -42:

-42 / 14 = -3

Then, we will replace y with -3 to make sure that this is correct:

14 (-3) = -42

-42 = -42

So, y = -3 is the answer.

Hope this helps! :)

Answer:

Step-by-step explanation:

X^2 + 7x + 7x + 49 = x*(x+7) + 7*(x+7) = (x+7)(x+7) = (x+7)^2

Answer:

The simplest form should be (x + 7)^2 (squared)

Step-by-step explanation:

This is a Perfect Square Trinomial. If the A and C values are both perfect squares then you can take the square root of them and that would become the factored version. Hope this helps! Please mark Brainliest! :)

Answer:

Number of milk chocolate in beg = 56

Step-by-step explanation:

Given:

Probability of randomly choosing a dark chocolate = 3/8

Number of dark chocolate = 21

Find:

Number of milk chocolate in beg

Computation:

Number of milk chocolate in beg = Number of dark chocolate / Probability of randomly choosing a dark chocolate

Number of milk chocolate in beg = 21 / [3/8]

Number of milk chocolate in beg = 21[8/3]

Number of milk chocolate in beg = 7[8]

Number of milk chocolate in beg = 56

Answer:

A. 8(3 + 8x)

Step-by-step explanation:

Hope it helps you in your learning process

Step-by-step explanation:

First figure out how much one paddle board is for 3 hours. To figure that out multiply 3 by 3.75.

3 x 3.75=11.25

So for 1 paddle board it cost 11.25 for 3 hours. Since they need 2 paddle boards multiply 11.25 by 2 for the total cost of 2 paddle boards.

11.25 x 2 = 22.5

They can pay for 3 hour and will have 2.50 left over.

To determine if a vector is a linear combination of u = (0, -2, 2) and v = (1, 3, -1), we need to check if there exist constants such that the given vector can be expressed as a linear combination of u and v.

Let's check each option:

(a) (2, 2, 2):

To express (2, 2, 2) as a linear combination of u and v, we would need to find constants a and b such that a*u + b*v = (2, 2, 2). However, this is not possible since the z-component of u is 2, while the z-component of (2, 2, 2) is different. Therefore, (2, 2, 2) is not a linear combination of u and v.

(b) (0, 4, 5):

Similarly, to express (0, 4, 5) as a linear combination of u and v, we would need to find constants a and b such that a*u + b*v = (0, 4, 5). However, this is not possible since the z-component of u is 2, while the z-component of (0, 4, 5) is different. Therefore, (0, 4, 5) is not a linear combination of u and v.(c) (0, 0, 0):

To express (0, 0, 0) as a linear combination of u and v, we would need to find constants a and b such that a*u + b*v = (0, 0, 0). This is possible by choosing a = 0 and b = 0. Therefore, (0, 0, 0) is a linear combination of u and v.

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Answer:

x+x+14=90

2x=90-14

2x=76

x=38 (opp angles =)

Answer:

\( \\b.( - 8 - 356781012)\)

You can use the circumference of the circle that the blade makes to calculate the linear velocity at the end of the blade.

The linear velocity at the end of the blade is 13571.7 inches per minute

You can think of it as if some circle is being drawn by the end of the blade and then that circle is like wheel of a bicycle and its travelling on road. Each rotation will make it cover distance equal to its circumference. Since there are 60 revolutions of the blade in each minute, thus, 60 rounds of that wheel.

The total distance in 1 minute = 60 times circumference of the circle made by the end of the blade of the lawnmower.

Since the blade is 36 inches long, it can be taken as radius of that circle.

The circumference is thus calculated as \(2 \times \pi \times 36 = 226.19 \: \rm inches\)

Thus, linear velocity = 226.19 times 60 inches per minute = 13571.7 inches per minute

Thus,

The linear velocity at the end of the blade is 13571.7 inches per minute

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Answer:

i think its D or 4,320pi

Step-by-step explanation:

just divided the previous persons answer by pi and its d on edge 2022.

Answer:

7. -

a. 3.5 or 7/2 hours

b. 24.5

c. After 7 hours (and at the beginning when t=0)

8. -

a. 4 seconds

b. 1 second

c. 54 meters

Step-by-step explanation:

7. M(t)=-2t^2+14t

M’(t)=-4t+14

a)

-4t+14=0

4t=14

2t=7

t=7/2

b) M(7/2)=24.5

c)

M(t)=0

-2t^2+14t=0

t^2-7t=0

t(t-7)=0

t=0, 7

8.

a)

h(t)=0

-6t^2+12t+48=0

t^2-2t-8=0

(t-4)(t+2)=0

t=-2, 4

t=4

b)

h(t)=-6t^2+12t+48

h’(t)=-12t+12

h’(t)=0

-12t+12=0

12t=12

t=1

c) h(1)=54

I hope this helps; please vote brainliest!

The correct answer is,

x = 39

y =21

A different type of quadrilateral known as parallelogram has both pairs of its opposite sides parallel and equal.

The figure shows a parallelogram ABCD with the parameters AB II CD and AD II BC. Furthermore, AB = CD and AD = BC.

In a parallelogram, the opponent angles are equal.. So it means that side /A is equal to side /C, let's equate the two angles and solve for x;

5y - 3 = x + 3y

2y - x = 3                            ........(1)

Also, consecutive angles of a parallelogram are supplementary,

therefore,

/C + /D = 180

x + 3y + 2x = 180

3x + 3y = 180

x + y = 60                                  .......(2)

Now, add equations (1) and (2)

(2y-x) + (y+x) = 3 + 60

3y = 63

y = 21

now put this value of y in (2) we get,

x + y = 60

x + 21 = 60

x = 39

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Answer: a)

Step-by-step explanation:

To find \(\frac{dy}{dx}\), we will have to use implicit differentiation, and because the base is \(dx\), we will take the deriviative of both sides with respect to \(x\).

To derive \(y\) with respect to \(x\), just derive the term with respect to y then multiply the term with \(\frac{dy}{dx}\).

So \(\frac{d}{dx} x^{2}\) is just \(2x\), \(\frac{d}{dx} y^{2}\) is \(2y \frac{dy}{dx}\), and  \(\frac{d}{dx} 289\) is 0. Now substitue each term with it's deriviative.

\(2x + 2y \frac{dy}{dx} = 0\)

Now, just solve for  \(\frac{dy}{dx}\) when \(x\) is 8 and \(y\) is 15

\(2(8) + 2(15)\frac{dy}{dx} = 0\)

\(16 + 30\frac{dy}{dx} = 0\)

\(\frac{dy}{dx} = \frac{-16}{30} = \frac{-8}{15}\)

So the answer is choice a)

Answer:

Your answer is -8!

Step-by-step explanation:

I used a calculator but at least you know it's correct! Your welcome! =D

Answer:

Ans= -8

Step-by-step explanation:

It is - 8

........

O centroid

Step-by-step explanation:

In geometry, a median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side. Every triangle has three medians, one from each vertex, and they all intersect each other at the triangle's centroid.

Answer:

Scientific notation is used to write very large or very small numbers using less digits. ... See how scientists use this notation to describe astronomical distances, such as the distance between planets, or microscopic distances, such as the length of a blood cell.

Step-by-step explanation:

These are just a few examples of how scientific notation is used in the real world. Its versatility allows scientists, engineers, mathematicians, and professionals from various disciplines to work with numbers efficiently and communicate effectively across different scales.

Scientific notation, also known as exponential notation, is widely used in various fields to express very large or very small numbers in a more convenient and concise format. Here are some examples of how scientific notation is used in the real world:

Astronomy: Scientific notation is essential in astronomy to represent the vast distances between celestial objects. For instance, the distance between the Earth and the Sun is approximately 93 million miles or 1.496 × 10²kilometers.

Physics: Scientists often use scientific notation to express the values of physical constants, such as the speed of light (2.998 × 10^8 meters per second) or the Planck constant (6.62607015 × 10^-34 joule-seconds).

Chemistry: Scientific notation is commonly used in chemistry to express the magnitude of extremely small or large quantities of substances. For example, Avogadro's number, which represents the number of atoms or molecules in one mole of a substance, is approximately 6.022 × 10².

Medicine: In medical and biological sciences, scientific notation is employed to represent quantities such as cell counts, enzyme activity, or concentrations of substances. It allows scientists and healthcare professionals to work with numbers that span a wide range, from tiny quantities to large-scale measurements.

Finance and Economics: Scientific notation is useful in financial and economic calculations, especially when dealing with large numbers such as national debt, gross domestic product (GDP), or company revenues. It simplifies the representation and manipulation of these values.

Engineering: In various engineering disciplines, scientific notation is used to express measurements and quantities, such as distances, weights, electrical currents, and voltages. It enables engineers to work with both very large and very small values encountered in their calculations and designs.

Computer Science: Scientific notation is employed in computer science to represent large or small numbers in computer programming. It is particularly useful when dealing with values that exceed the capacity of standard data types or when expressing very small probabilities or error values.

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Answer:

now I will not help you later I will help you If you follow back MI and already I have follow you

Out of the group of 10 employed individuals, there were 4 individuals who reported having a job as a Doctor

If the Doctor vertical bar has a value of .4, this means that out of all the individuals surveyed, 40% of them reported having a job as a Doctor. Since we know there are 10 employed individuals responding, we can calculate the number of Doctors in the group by multiplying the total number of employed individuals (10) by the relative frequency of Doctors (.4).

So, Number of doctors = Total employed individuals x Relative frequency of doctors

= 10 x .4

= 4

Therefore, out of the group of 10 employed individuals, there were 4 individuals who reported having a job as a Doctor. This information is useful for understanding the distribution of occupations among a particular group and can help inform decisions related to career planning or resource allocation in different fields.

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a. The probability of success (hitting the target) is constant for each trial (88% or 0.88).

b. The probability of hitting the 6th target is:

P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88

c. Using the binomial probability formula as before, with p = 0.88 and n = 3:

P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)

P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)

P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)

a) The three characteristics of this scenario that indicate we are working with Bernoulli trials are:

The experiment consists of a fixed number of trials (eight shots).

Each trial (shot) has two possible outcomes: hitting the target or missing the target.

The probability of success (hitting the target) is constant for each trial (88% or 0.88).

b) To find the probability of hitting the 6th target (considered as a single trial), we can use the binomial probability formula:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

where:

P(X = k) is the probability of getting exactly k successes,

C(n, k) is the binomial coefficient or number of ways to choose k successes out of n trials,

p is the probability of success in a single trial, and

n is the total number of trials.

In this case, k = 1 (hitting the target once), p = 0.88, and n = 1. Therefore, the probability of hitting the 6th target is:

P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88

c) To find the probability that the first time hitting the target is not until the 4th shot, we need to consider the complementary event. The complementary event is hitting the target before the 4th shot.

P(not hitting until the 4th shot) = P(hitting on the 4th shot or later) = 1 - P(hitting on or before the 3rd shot)

The probability of hitting on or before the 3rd shot is the sum of the probabilities of hitting on the 1st, 2nd, and 3rd shots:

P(hitting on or before the 3rd shot) = P(X ≤ 3) = P(X = 1) + P(X = 2) + P(X = 3)

Using the binomial probability formula as before, with p = 0.88 and n = 3:

P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)

P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)

P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)

Calculate these probabilities and sum them up to find P(hitting on or before the 3rd shot), and then subtract from 1 to find the desired probability.

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Volume of 1st box:

\(3 \times 5 \times 8 = 120ft ^{3} \)

Volume of 2nd box:

\(3 \times 5 \times 4 = 60ft ^{3} \)

Combined volume:

\(120 + 60 = 180ft ^{3} \)

You have some standard six-sided dice. So, the probability of rolling a total of ten when you roll three dice is 5/216.

To find the probability of rolling a total of ten when rolling three dice, we can use the formula:

P(event) = desired outcomes / total outcomes

Given that we have six-sided dice, we know that the total outcomes for rolling one die is six.

Therefore, the total outcomes for rolling three dice would be\(6^3\)= 216.

To find the desired outcomes, we can use combinations.

There are three ways we can roll a total of ten with three dice:

1-3-62-4-43-5-24-3-34-2-45-1-5

Therefore, there are five combinations that result in a total of ten.

Therefore, the probability of rolling a total of ten when rolling three dice is:

P(event) = 5/216

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To calculate the integral ∫C ω, where ω is the given 1-form on \(R^2 - {(0,0)}\), and C is an arbitrary path from (1,1) to (2,2) not passing through (0,0). So, the resultant integral is: \(∫C ω = ∬D (2y - 2x) dA\)

To calculate the integral ∫C ω, where ω is the given 1-form on \(R^2 - {(0,0)}\), and C is an arbitrary path from (1,1) to (2,2) not passing through (0,0), we can use Green's theorem.

Let's denote the region bounded by the path C as D.

By Green's theorem, we have:
\(∫C ω = ∬D (∂(x^2+y^2)/∂y - ∂(x^2+y^2)/∂x) dA\)

Calculating the partial derivatives, we get:
\(∂(x^2+y^2)/∂y = 2y\\∂(x^2+y^2)/∂x = 2x\)

Substituting these values into the integral, we have:
\(∫C ω = ∬D (2y - 2x) dA\)

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The value of ∫C ω, where ω = (x² + y²)x dx + (x² + y²)y dy, and C is a path from (1,1) to (2,2) not passing through (0,0), is (4/3) - (2/3).

The value of ∫C ω, where ω is the given 1-form on R² - {(0,0)}, can be calculated using the Fundamental Theorem of Calculus for line integrals.

The direct answer to the question is that the value of ∫C ω is equal to the difference of the antiderivative of ω evaluated at the endpoint of the path C minus the antiderivative evaluated at the starting point of the path C.

To find the antiderivative of ω, we integrate each term separately. The antiderivative of x² + y²with respect to x is (1/3)x³ + xy², and the antiderivative of x² + y² with respect to y is (1/3)y³ + x^{2y}.  

Using these antiderivatives, we can now evaluate the line integral along the path C. The first paragraph of the explanation should contain the summary and direct answer, while the second paragraph should explain how we arrive at the solution step by step.

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Answer: $732.25

Step-by-step explanation: I just took the quiz through K12 online school.

Answer: D.$732.25

Step-by-step explanation:

Patti's ending balance was $715.26

On 2/5 (February 5) she did a withdrawal (-) of $140.00

On 2/7 she did a check (-) of $326.15 and a deposit (+) of $483.14

$715.26- $140.00- $326.15+ $483.14= $732.25

a. The cost of tuition at the college in 2017 is $15,000.

b. The annual percentage rate at which the tuition grows is 7%.

c. Assuming the same growth rate before and after 2017, the tuition in 2000 was $10,000.

d. The tuition in 2010 was $12,754.

e. The tuition when you graduate from high school will depend on the specific year of graduation and can be calculated using the given function.

a. The cost of tuition in 2017 can be found by substituting x = 0 into the function f(x) = 15. (1.07)*, resulting in f(0) = 15. Therefore, the tuition cost in 2017 is $15,000.

b. The annual percentage rate of tuition growth can be determined from the given function. In the expression (1.07), the coefficient 1 represents 100%, and the exponent 0.07 represents 7%. Therefore, the tuition grows at an annual rate of 7%.

c. To find the tuition in 2000, we need to calculate the number of years from 2000 to 2017 and substitute it into the function. The difference between 2017 and 2000 is 17 years. Substituting x = -17 into the function f(x) = 15. (1.07)* gives f(-17) = 10. Therefore, the tuition in 2000 was $10,000.

d. Similar to the previous calculation, we need to find the number of years from 2010 to 2017 and substitute it into the function. The difference is 7 years, so substituting x = -7 into f(x) = 15. (1.07)* gives f(-7) = 12.754. Thus, the tuition in 2010 was $12,754.

e. To determine the tuition when you graduate from high school, you need to know the specific year of your graduation. You can substitute the number of years since 2017 into the function f(x) = 15. (1.07)* to calculate the corresponding tuition cost.

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Answer:

222

Step-by-step explanation:

for sure 100%

gurantee at your own risk