Question If the terminal side of angle goes through the point (15-17) on the unit circle, then what is cos(0)? Provide your answer below: cos (6) = H

If the arrival times of Caryl's school bus are distributed on a normal curve, the standard deviation would enable Caryl to estimate the probability that her bus will arrive within 5 minutes of its scheduled arrival time on any given day.

The standard deviation is a statistic that measures the amount of variation or dispersion from the central tendency of a set of data values. A low standard deviation indicates that the data is tightly clustered around the mean or average, while a high standard deviation indicates that the data is more spread out.

The standard deviation is particularly useful when dealing with normally distributed data, as it allows us to estimate the probability of a certain range of values occurring. In this case, Caryl can use the standard deviation to estimate the probability that her bus will arrive within 5 minutes of its scheduled arrival time on any given day.

Hence, option c. standard deviation would enable Caryl to estimate the probability that her bus will arrive within 5 minutes of its scheduled arrival time on any given day.

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a) There are 36 sample points that are possible.

b) The probability of obtaining a value of 7 is 1/12.

c) The probability of obtaining a value of 8 or greater is 1/6.

(a) When rolling a pair of dice, each die has six possible outcomes: 1, 2, 3, 4, 5, or 6. The possible outcomes for the pair of dice can be represented by the set of all ordered pairs (a, b), where a and b represent the outcomes of the first and second die, respectively.

Since each die has six possible outcomes, there are a total of 6 x 6 = 36 possible outcomes for rolling a pair of dice.

(b) To obtain a sum of 7, we must have one die showing 1 and the other die showing 6, or one die showing 2 and the other die showing 5, or one die showing 3 and the other die showing 4, for a total of three possible outcomes.

Since each die has six possible outcomes, there are a total of 6 x 6 = 36 possible outcomes. Therefore, the probability of obtaining a sum of 7 is 3/36, or 1/12.

(c) We must have one die showing 2 and the other die showing 6, or one die showing 3 and the other die showing 5, or one die showing 4 and the other die showing 4, or one die showing 4 and the other die showing 5, or one die showing 5 and the other die showing 3, or one die showing 6 and the other die showing 2, for a total of 5 + 1 = 6 possible outcomes.

Therefore, the probability of obtaining a sum of 8 or greater is 6/36, or 1/6.

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Answer:

Divide each term in 7x = 35 by 7, then simplify.

x = 5

Hope this helps! If not, feel free to comment below and I will see what else I can do to help. Thanks and good luck!

Answer:

15

Step-by-step explanation:

the range is the largest number take away the smallest number

56-41=15

The quadratic function can be written in standard form as                     \(f(x) = (x + 8)^2 - 5\)  

To write the quadratic function \(f(x) = x^{2} + 16x + 59\) in standard form, we must first express it as:

\(f(x) = a(x - h)^{2} + k\)

where (h, k) is the parabola's vertex and "a" is a coefficient that controls whether the parabola expands up (a > 0) or down (a < 0).

To accomplish this, we shall square the quadratic expression:

\(f(x) = x^{2} + 16x + 59 \\f(x) = (x^{2} + 16x + 64) \\f(x) = (x^{2} + 16x + 64) - 5 f(x) \\f(x) = (x + 8)^2 - 5\)

We can now see that the parabola's vertex is (-8, -5), and because the coefficient of x2 is 1 (which is positive), the parabola widens upwards. As a result, we may express the function in standard form as follows:

\(f(x) = a(x - h)^{2} + k\\f(x) = 1(x + 8)^2 - 5\)

So the x2 + 16x + 59 = f(x)

The quadratic function can be written in standard form as                     \(f(x) = (x + 8)^2 - 5\)  

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Answer:

m+8n

Step-by-step explanation:

-(-m-8n)

When there is a - in front of an expression in parentheses, change the sign of each term in the expression

m + 8n

Answer:

m + 8n

Step-by-step Explanation

\( -(-m-8n) \\ = - \times ( - m) - \times (- 8n) \\ = m + 8n\)

If Tamika receives 20 rewards points just for signing up and she earns 10.5 points for each visit to the movie theater and she needs 167 points for a free movie ticket, then an equation to determine x, the number of visits Tamika must make to earn a free movie ticket is 10.5x + 20 = 167 and the value of x is calculated to be 14.

The number of visits Tamika must make can be determined by using a linear equation with one variable.

As,

reward points for signing up = 20

points for each visit = 10.5

points needed for free movie ticket = 167

If we consider x to be the number of visits required, then the linear equation can be given as,

10.5x + 20 = 167

Solving for x,

10.5x = 167 - 20

10.5x = 147

x = 147/10.5 = 14

Hence, the number of visits Tamika must make to earn a free movie ticket is equal to 14.

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Answer:

Step-by-step explanation:

To the 4th power means that all the items in the parenthesis is mulitplied 4 times

(9m)⁴

=9*9*9*9*m*m*m*m*m  or

= (9m)(9m)(9m)(9m)

Answer: answer is Firts add the two equations to get 11x=22 Then substitute 2 for x in either equation to get y= 1

Step-by-step explanation:so [22][ 2] and ( 1) should be your answers and if your in quiziz mark that is true if ur not then mark my answers

The blank places can be filled as, First, add the two equations to get 11x=22. Then substitute for x in either equation to get y =1.

Inconsistent System

A system of equations to have no real solution, the lines of the equations must be parallel to each other.

Consistent System

1. Dependent Consistent System

A system of the equation to be Dependent Consistent System the system must have multiple solutions for which the lines of the equation must be coinciding.

2. Independent Consistent System

A system of the equation to be Independent Consistent System the system must have one unique solution for which the lines of the equation must intersect at a particular.

The equation can be solved by adding the two of the given equation,

\(6x + 2y + 5x - 2y = 8+14\\\\11x = 22\)

As we get the values of 11x=22, find the value fo x which is 2, substitute the equation in either of the given equation,

6x + 2y = 14

6(2) + 2y = 14

2y = 14 - 12

y = 1

Thus, the value of y is 1.

Now, the blank places can be filled as, First, add the two equations to get 11x=22. Then substitute for x in either equation to get y =1.

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A chi-square test of independence is used to analyze the relationship between location and type of package for soap.

What is chi-square test?

A chi-square test is a statistical test used to determine if there is a significant association or relationship between categorical variables.

To analyze whether there is a relationship between location and type of package for the soap brand, a statistical test needs to be performed. Here are the steps to answer the given questions:

a. Null and alternative hypotheses:

- Null hypothesis (H0): There is no relationship between location and type of package for the soap brand.

- Alternative hypothesis (Ha): There is a relationship between location and type of package for the soap brand.

b. The appropriate test to use:

To determine the relationship between two categorical variables (location and type of package), a chi-square test of independence is commonly used.

c. The appropriate output:

To conduct a chi-square test of independence, Output 2, which includes the observed counts and expected counts for each cell in a contingency table, is typically used.

d. The appropriate p-value:

After performing the chi-square test, the output will provide a p-value. The p-value represents the probability of observing the data under the null hypothesis. We will compare this p-value to the significance level (alpha) of 0.01 to determine if there is sufficient evidence to reject the null hypothesis.

e. The conclusion:

Based on the obtained p-value, we can make a conclusion. If the p-value is less than the significance level (0.01), we reject the null hypothesis and conclude that there is a relationship between location and type of package. If the p-value is greater than or equal to the significance level, we fail to reject the null hypothesis and do not conclude a significant relationship between location and type of package.

To provide a more specific conclusion, the actual data from the three locations and the corresponding output of the chi-square test are needed.

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The equation of the circle expressed in the form x²+y²+ax+by+c=0 is (x+3)² + (y+4)² - 100 = 0.

Center of the circle = (-3,-4)Point on the circumference of the circle = P(5,2) We know that the equation of the circle is given by: (x−a)²+(y−b)²=r² where the center of the circle is (a, b) and the radius is r.

Step 1: Find the radius of the circle using the distance formula Distance between the center of the circle and point

P = radius of the circle.

We get

r = √((-3-5)² + (-4-2)²)r = √64+36r = √100 = 10

Step 2:Find the equation of the circle substituting the center and the radius into the equation of the circle

(x−a)²+(y−b)²=r²(x-(-3))² + (y-(-4))² = 10²(x+3)² + (y+4)² = 100(x+3)² + (y+4)² - 100 = 0

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Ten: 7,810

Hundred: 7,800

Thousand: 8,000

Answer:

1. 7810, 2. 8000, 3. 7800

Step-by-step explanation:

1. 12 is closer to 10 than it is to 20

2. 812 is closer to 1000 (188 away from 1000)than it is to 0(812 away)

3. 812 is close to 800 than 900

Answer:

should be 30

Step-by-step explanation:

triangles have 180°

if x is 30

2x is 60

the other angle is 90

add those all together and you get 180°

Answer:

247.7 cm³

Step-by-step explanation:

V = πr²h

V = 3.14159 × (3.2 cm)² × 7.7 cm

V = 247.70808 cm³

Answer: 247.7 cm³

Answer:

-3

Step-by-step explanation:

All participants indicate their likelihood of scheduling a campus visit on a 10-point scale Paired samples t-test.

What is campus?
A college or university's campus is traditionally the area of land on which those institutions' buildings are located. Libraries, lecture halls, dorms, student centres, dining halls, and park-like settings are typically found on college campuses.

An academic or non-academic institution's buildings and grounds are collectively referred to as a campus in modern times. The Apple Campus and the are two examples. The word, which is derived from a Latin word for "field," was first used in 1774 to refer to the sizable field next to Nassau Hall of the College of New Jersey (currently Princeton University). Princeton and the small neighbouring town were separated by a field.

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Answer:

I try to do atleast all of them better grade so there if you don't do atleast 6 or above you ain't going to get no good grade but I would try to do all of them

Answer:

\(14\)

Step-by-step explanation:

The amount of integers between \(a\) and \(b\) is \(|a-b|+1\).

We can plug \(6\) and \(19\) into this formula to get the amount of questions: \(|6-19|+1=|-13|+1=13+1=14\).

So we need to do \(\boxed{14}\) questions and we're done.

The transformations from the parent function f(x) = 8ˣ are:

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

f(x) = 8ˣ

g(x) = 8ˣ ⁺ ⁵ + 1

First, we have the transformation to be:

From f(x) = 8ˣ to g(x) = 8ˣ ⁺ ⁵

This means the function is translated left by 5 units

Next, we have:

From g(x) = 8ˣ ⁺ ⁵ to g(x) = 8ˣ ⁺ ⁵ + 1

This means the function is translated up by 1 unit

Hence, the transformation is 5 units left and 1 units up

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Answer:

Step-by-step explanation:

The temperature starts at 50 and increases because the slope is positive.

Answer:

C. If an object is dropped from a height of 120 feet, the function h(t) = –16t2 – 120 gives the height of the object after t seconds.

Step-by-step explanation:

.................................The last one is the only one that makes sense according to the standard position function.  -16t^2 is the pull of gravity on an object in free fall, and the height is 120 feet above the ground.  Hopefully that's what you need since there's no graph we can refer to

....................................................Answer:

The explanation that best provides the real-world scenario is:

If an object is dropped from a height of 120 feet, the function                    

gives the height of the object after t seconds.

Step-by-step explanation:

a)

If an object is dropped from a height of 120 feet, the function  gives the height of the object after t seconds.

This option is incorrect.

Since when t=0 we have:

          h(t)= -120

This is not possible as the object is above the ground and hence must have positive height initially.

b)

If an object is dropped from a height of -16 feet, the function  gives the height of the object after t seconds.

This option is incorrect.

Since a object when is dropped from some height then it must be a positive height.

Also, when t=0 we have: h(t)= 120 feet.

This means that the object is dropped from a height of 120 feet.

c)

If an object is dropped from a height of 120 feet, the function  gives the height of the object after t seconds.

In this when t=0 we have:

h(t)=120 that means the height of the object initially was 120 feet and then it decreases with the increase in time as the object will reach the ground with the time increase and hence height will decrease.

              Hence, this option is correct.

........................................The equation that models the movement of the object is:

Where,

t: time

a: acceleration due to gravity

v0: initial speed

h0: initial height

Suppose that the object falls with zero initial velocity and from a height of 38 feet.

The equation that models the problem is:

Answer:

If an object is dropped from a height of 38 feet, the function h (t) = -16t2 + 38 gives the height of the object after seconds

.................Answer: If an object is dropped from a height of 38 feet, the function h (t) = -16t2 + 38 gives the height of the object after seconds

Step-by-step explanation:

The explanation that best provides the real-world scenario is:

⇒ If an object is dropped from a height of 120 feet, the function                    

h(t) = - 16t² - 120 gives the height of the object after t seconds.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

a) If an object is dropped from a height of 120 feet, the function

h(t) = - 16t² + 120 gives the height of the object after t seconds.

Hence, This option is incorrect.

Since, when t=0 we have:

h (t) = -120

This is not possible as the object is above the ground and hence must have positive height initially.

b) If an object is dropped from a height of -16 feet, the function

h(t) = - 16t² + 120 gives the height of the object after t seconds.

This option is incorrect.

Since a object when is dropped from some height then it must be a positive height.

Also, when t = 0

we have: h (t) = 120 feet.

This means that the object is dropped from a height of 120 feet.

c) If an object is dropped from a height of 120 feet, the function

h(t) = - 16t² - 120 gives the height of the object after t seconds.

In this when t=0 we have:

h(t)=120

That means the height of the object initially was 120 feet and then it decreases with the increase in time as the object will reach the ground with the time increase and hence height will decrease.

Hence, this option is correct.

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Answer:

he dividend number is 80, the number used to divide another number is 10 and the result of the dividing two number is 8.

Step-by-step explanation:

Answer:3

Step-by-step explanation:

7x3=21 4x3=12 21÷12=9 3x3=9

Answer:

Step-by-step explanation:

7 × 3 = (3 × 3) + (4 × 3)

we cannot determine the normal stress in the central portion of Link AC as the bending moment is not specified.

The normal stress in the central portion of Link AC can be determined using the formula:

σ = M/I,

where M is the bending moment, and I is the moment of inertia.

The moment of inertia for a uniform rectangular cross section is:

I = bh^3/12,

where b is the width and h is the thickness.

Therefore, in Link AC, I = 1in x (1/8in)^3/12 = 1/96 in^4.

Since the bending moment is not specified, we cannot determine the normal stress in the central portion of Link AC.

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Answer:

60 ft²

Step-by-step explanation:

Answer:

60 ft.

Step-by-step explanation:

8*15 = 120/2 = 60

Answer:

The questions that are appropriate for the teacher to ask her population are:

How many hours of sleep do you get per night?

On average, how long does it take you to complete your homework?

What time do you leave for school in the morning?

Step-by-step explanation:

The survey is conducted among the seventh grade students so the valid question their teacher would have asked them is:

How many hours of sleep do you get per night?

On average, how long does it take you to complete your homework?

What time do you leave for school in the morning?

while the other two questions are invalid as it the students are young and they are not legal to vote.

also it is not necessary that they would arrive to school by car. Please mark the brainliest!

To find the points on the hyperboloid x^2 + 4y^2 - z^2 = 1 where the tangent plane is parallel to the plane x + 4y - z = 0, we need to compare the gradients (normal vectors) of both planes.

First, find the gradient of the given plane x + 4y - z = 0 by taking the coefficients of x, y, and z. The gradient (normal vector) is (1, 4, -1).

Now, we need to find the gradient of the tangent plane to the hyperboloid. To do this, we'll calculate the gradient of the hyperboloid equation and set it equal to the gradient of the given plane:
∇(x^2 + 4y^2 - z^2) = (2x, 8y, -2z)

Since the gradients are parallel, we have:
2x = 1 (the x component)
8y = 4 (the y component)
-2z = -1 (the z component)

Solving these equations, we get two sets of points (x, y, z) due to the symmetry of the hyperboloid:
(x, y, z) = (1/2, 1/2, 1/2) (smaller x-value)
(x, y, z) = (-1/2, -1/2, -1/2) (larger x-value)

These are the points on the hyperboloid where the tangent planes are parallel to the given plane x + 4y - z = 0.

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The number of ways is an illustration of selections and arrangements.There are 16 ways to order a two-course meal.

An arrangement is defined as a combination of things that make up a design or that are laid out in a certain way

The given parameters are

Appetizer=8

Main=6

A person can choose 1 a-piece from each menu.

This means that:

There are 8 ways of selecting appetizers, and 2 ways of selecting the main courses.

So, the number of ways (n) is:

\(\rm n=Appetizer\times Main\)

\(n=8\times 2\)

\(n=16\)

Hence, there are 16 ways to order a two-course meal

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