The level of significance is indicated by the Greek letter | Α. σ B. B C. a D. E

Given:

Here In the United States, 1000 residents aged 15 or older were surveyed and 870 replied that they were satisfied with the water quality is given.

Required:

Interval of 90% confidence level.

Explanation:

The formula to find the interval of confidence level is as below

Now we have to find the value of all

z=1.64485

p'=870/1000=0.87

n=1000

Now put the all values

Final answer:

Confidence interval is (0.8525,0.8875)

Let's begin by identifying key information given to us:

Number of times she woke early (e) = 6

Total number of days (t) = 80 days

The percentage of days she's been getting up early ​is given by:

Mary has gotten up early 7.5% of the days

The dependent variable is Y because the value depends on the number of people(x) who buy tickets

and y is the total cost of the tickets

Then the right option is D

Given:

A relative frequency polygon that shows pulse rates of women and men.

To determine the midpoints of the class with the most pulse rates for women and men, we first note that based on the given graph, the most pulse rates for women is 74.5 with more than 30% of relative frequency. While the most pulse rates for men is 64.5 with more than 40% of relative frequency.

Therefore, the midpoints of the class with the most pulse rates for women and men respectively is:

74.5, 64.5

Explanation

If we look at the given options we can see that

Answer: Option 2

The possible angles are exterior angles:

The inner angles of the triangle are:

We also can see that:

Since

They are vertical angles formed by two intersecting lines, and 1 is congruent to 3. So, 3 is a

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

Graph

Step 02:

We must analyze the graphs to find the solution.

Positive Interval (above x-axis)

That is the full solution.

Sara will run 8836 square yards

Given that the diameter of the track Sara runs is 75 yards.

The radius is half the diameter, and so, 37.5

Sara will jog 2 laps around the track, therefore, the amount of yards Sara will run is obtained by finding twice the area of the circle she is going to cover.

Area of a circle is:

Where r is the radius

Using r = 37.5

Since she is jogging 2 laps, we have the yards she will cover to be:

2(4417.9)

= 8835.8

Approximately 8836 square yards

To answer this question, we need to have into account the ratio between the chocolate and the nuts. This ratio is:

That is, simplifying the ratio, we have 2 parts of chocolate and 3 parts of nuts. This ratio must be the same for the tablespoon. Then, if we have 18 tablespoons of nuts, then we can pose the situation as follows:

Therefore, we need 12 tablespoons of chocolate to follow the recipe for the party.

Let:

Therefore, (4) is a Scalar Multiple of (1).

Therefore, (3) is a linear combination of (1) and (2)

Answer:

b = 4 and -6

Explanation:

Given the equation:

|b + 1| = 5

|b + 1| represents the absolute value of (b + 1)

This equation gives rise to two equations

b + 1 = 5 ......................................(1)

b + 1 = -5 .......................................(2)

Solve equation (1)

b + 1 = 5

Subtract 1 from both sides of the equation

b + 1 - 1 = 5 - 1

b = 4

Solve equation (2)

b + 1 = -5

Subtract 1 from both sides of the equation

b + 1 - 1 = -5 -1

b = -6

Therefore, the values for b are 4 and -6

Let:

y1 = altitude of the plane A

y2 = altitude of the plane B

Let's find the equation for plane A:

And for plane B:

So:

Answer:

2 minutes

when lines are perpendicular to each other, they make 90 degrees to each other

whenever you have a slope of 0, it means the y-axis remains constant while the x-axis increases

since m has a slope of zero, that's why it's in that position while n increases

slope = y2 - y1 / x2 - x1

We need to find a quadratic model from the news or social media.

We can model the number of people watching a story after t time of posting it.

When you post it, there are no people watching it, it starts at y=0. Throughout the day more people are watching, but when time passes, the number of people starts to decrease.

The situation can be modeled by the quadratic function:

Where x is the time in hours after posting the story, and y is the number of new people who watched the story in the past hour.

If we graph the function it looks like this:

As can be seen, at the beginning the number of people watching the story starts to increase, but after some time the number of people you reach out to with your story starts to decrease until no one will watch it.

The quadratic term of the function is:

The coefficient of the quadratic term determines how wide or narrow the graphs are, and whether the graph turns upward or downward. As we have a negative coefficient, then the parabola opens down.

The linear term is 10x, and it determines the position of the vertex.

There is a maximum value and it occurs at t=10 when you reach out to 50 people: (10,50).

The domain of the function is the set of possible x-values, as can be seen in the graph, it is [0,20], which means after 20 hours no one will watch your story.

The range is the set of y-values the function takes. It is [0,50]. It means you start with 0 people and the maximum number of people you reach out to in one hour is 50.

Answer

a₃ = 63

Explanation

We are told to find the 3rd term of this sequence.

Then, we are given that

first term = a₁ = 6

nth term = aₙ = 3aₙ₋₁ + n

To find the third term, we need to find the second term first

second term = a₂ = 3a₁ + 2 = 3 (6) + 2 = 18 + 2 = 20

Third term = a₃ = 3a₂ + 3 = 3 (20) + 3 = 60 + 3 = 63

Hope this Helps!!!

To answer this question, we can see that:

Then, we have that both triangles are similar triangles since the side CB and XY are parallel and then the interior angles are congruent. Then, we can write the next proportions:

We have that the ratio between CB and XY is:

In other words, we can say that the side CB is twice the measure of side XY or:

And we can also say that:

Using these proportions is easy to find the values of AX and AY as follows:

We have that AC = 14cm, then:

We have that AB = 18cm, then we have:

In summary, therefore, the value for AX = 7cm, and the value for AY = 9cm.

ANSWER

Base raised to logarithm rule

EXPLANATION

Between the second and third steps, a property of logarithms was applied, the base raised to logarithm rule. This property states that when the base of the logarithm is raised to the logarithmic expression, the result is the argument,

In this case, we can see that it only says "log", so we can assume that the base of this logarithm is 10. To get from step 2 to step 3, we have to raise the base (10) to each side of the equation,

And then, by the property stated above, we have the third line of this solution,

In the picture, the equation is inverted, but since there is an equal sign it is equivalent.

Let z be the required expression.

The given is

Using the cross product method, we get

Dividing both sides by 14x+98, we get

Hence the answer is

The function g is given by:

The function f is given by:

Therefore,

g(3) = f(3)

P(-3,5)

Image: (-4,3)

x coordinate:

-3+a = -4

Solve for a

a=-4+3

a= -1

y coordinate:

5+b =3

b =3-5

b= -2

So:

(x-1, y-2)

False

Here, we want to check if x = 23 is a solution for the equation

Firstly, we need to understand that what we have is a linear equation, an equation in which the highest power of the variable is 1. For this type of equations, what we expect is a single solution.

Thus;

Since x = 20 is the only possible solution, then x = 23 as a solution must be incorrect and false

We want to fill in the blank in the equation;

let's represent the blank with a.

Let's factorize the right side of the equation.

and also the left side;

Then let's divide both sides by (x+6);

Then we can solve for a in the resulting equation.

subtract 8 from both sides.

Therefore, the value to fill into the blank is -4

We are given the following expression

We are asked to simplify the above expression.

First of all, expand the parenthesis.

Now, combine the like terms together and simplify

Therefore, the simplified expression is

You have the following set of numbers:

{√(36), 35%, -2}

- The first number is √(36) = 6, that is, it is a natural number

- The second number is a while number

- The third number is an integer (because is a whole number wit a minus sign)

Hence, the correct option is the fourth one

- Natural numbers, whole numbers, integers

SOLUTION:

Step 1:

In this question, we are given the following:

Step 2:

From the graph, we can see that:

Using the Pythagoras' theorem,

CONCLUSION:

The final answer is:

perpendicularWe were given the following information:

The equation of a line is given by: y = - 1/4 x + 9

We want to obtain the equation for a line perpendicular to this line & that passes through the point (4, -8). This is shown below:

The general equation of a straight line is given by:

The equation of the line given us is:

The relationship between the slope of a line and the slope of a line perpendicular to it is given by the statement "the product of the slopes of two lines perpendicular to one another is negative one"

This is expressed below:

Therefore, the slope of the perpendicular line is: 4

We were told that the perpendicular line passes through the point (4, -8). We will obtain the equation of the perpendicular line using the Point-Slope equation. This is shown below:

The graphical representation of this is given below:

we simplify the expression to work easier

now we check each point replacing the coordinates and checking the inequality

A.

A is wrong because -1.5 isnt greater than 1 , so the inequality is wrong

B.

B is wrong because -2.7 isnt greater than 4

C.

C is wrong because 0.3 isnt greater than 1

D.

D is right because 1.5 is grreater than -2

E.

E is wrong because 0.3 isnt greater than 8

F.

F is Right because 2.1 is greater than 2

If we have a polynomial P(x) and divide it by d(x) we get

It's similar to what happens in normal divisions.

Therefore, the correct statement is:

c) The polynomial P(x) is equal to the divisor d(x) times the quotient Q(x) plus the reminder R

We have the following:

solving for b:

Therefore, the interval is: