the probability that describe the related frequency of actual observation of an event is an experiment is which of the following

Solution:

Let t for the number of minutes spent running

In Routine #1, he burns 20 calories walking. He then runs at a rate that burns 10.5 calories per minute.

This can be represented as 20 + 10.5t

In Routine #2, he burns 46 calories walking. He then runs at a rate that burns 5.3 calories per minute.

This can be represented as 46 + 5.3t

The required inequality is

The answer is 5 minutes

Given:

Data x: 24, 28, 26, 30, 32

n = 5

Asked: What is the standard deviation of the population?

Formula:

Solution:

Step 1: We will get the average of the data given.

NOTE: Bar x is also the mean or the average.

Step 2: We will subtract the mean from each number.

Step 3: We will square the differences and get the summation.

Step 4: We will substitute the acquired values to find the standard deviation using the formula above.

ANSWER: standard deviation = 2.83 (Rounded off to 2 decimal places)

When we have a function f(x) we can evaluate it for different arguments (the value of x) by replacing the argument in the definition of the function.

In this case, we know h(x) and we have to express h(3x). To do this, we replace x in the original function with 3x:

Answer: h(3x) = 27x²-4

The angles in the question are vertically opposite angles and Vertically opposite angles are equal.

Therefore,

Therefore,

formula for the mean

for this exercise n=26

replace data on the formula

Explanation:

-0.2 + (-¾) + 2.15 - (-⅖)​

let's convert the decimal to fractions:

-0.2 = -2/10 = -1/5

2.15 = 215/100 = 43/20

-0.2 + (-¾) + 2.15 - (-⅖)​ = -1/5 + (-¾) + 43/20 - (-⅖)​

Expanading the bracket:

Multiplication of same sign gives positive number. Multiplication of opposite signs give negative number.

= -1/5 -3/4 + 43/20 + 2/5

The scatter plot shows a positive correlation because the points show a linear-trend describing that when x-values (weight) increases then y-values (calories) also increases.

Hence, the relationship is a Positive correlation.

Answer:

is not correct because the lcm will be 16 and u will get 21/16

Note that 10 dimes = $1

Also 4 quarters = $1

That means, 100 dimes equals $10

Also, 44 quarters =

While completing the race, Ned spent 63 min walking if the ratio of time walking to jogging was 9:1, how many minutes did he spend completing the race?

Let

x-----> time spent walking

y -----> tiime spent jogging

we have

x/y=9/1

x=9y -----> equation A

we have

x=63 min

substitute in the equation A

63=9y

solve for y

y=7 minutes

therefore

teh answer is

Looking at the triangles, we see that they have two congruent sides, and the angles between them are congruent too.

Then, the two triangles are related by side-angle-side (SAS), so the triangles are congruent (SAS theorem).

Given the following function:

A.) SLOPE

Let's first transform the given equation into the standard slope-intercept form: y = mx + b

Because the m in the equation represents the value of the slope.

We get,

The slope-intercept form of 3x - 2y = 16 is y = (3/2)x - 8. Where m = 3/2.

Therefore, the slope of the function is 3/2.

B.) Y - INTERCEPT

In the standard slope-intercept form : y = mx + b, b represents the y - intercept.

Therefore, in the converted form of the function y = (3/2)x - 8. b is equals to -8.

The y-intercept is 0, -8.

C.) X - INTERCEPT

The x - intercept is the point at y = 0.

We get,

Therefore, the x - intercept is 16/3, 0

D.) DOMAIN RANGE

The function has no undefined points nor domain constraints. Therefore, the domain is

Example: 2/(3 - x) at x = 3 is undefined.

E.) INCREASING OR DECREASING

The easiest way to determine if the function is decreasing or increasing is by looking at the slope (m). If the slope is greater than 0 (m > 0) or a positive, the function is increasing. If the slope is less than 0 (m < 0) or a negative, the function is decreasing.

Here, the slope is 3/2 which we first solved. Since the slope is greater than zero or a positive, the function is, therefore, increasing.

The answer is increasing.

First, draw a schematic representation of that situation:

The shortest distance between the starting point (Linus's house) and the endpoint (Charlie's house) is a straight line. Since a right triangle is formed with the sides of length 7 blocks and 3 blocks, we can use the Pyhtagorean Theorem to find the length of the hypotenuse:

Therefore, the shortest distance between those two points would be 7.6 blocks.

The circumference of a circle is given by the formula

however we also knos that the diameter can be written as

meaning that the formula for the circumference can also be written as

then the circumference for the given information is:

Solution

final answer is.

Choice A, C ,D

Let's assum that each person drives 120 miles per week.

Then for person A we have:

for person B we have:

finally, for person C:

Then, if person A changes to person B's car, we have that the save is:

if person B buys person C's car, then the save is:

therefore, the savings on gas will be different for both of them and person C is incorrect.

2)Since person A saved 2 gallons, then the new car for Person C must save 2 gallons for each mile traveled.

Then we have the following equation:

where 'x' represents the number of gallons consumed in 120 miles. then, solving for x we have:

therefore, person C will need to buy a car that uses 1 gallon for eah 120 miles traveled

We know that the rate of change is a rate that describes how one quantity changes in relation to another quantity. If x is the independent variable and y is the dependent variable, then

where (X1,Y1) and (X2,Y2) are points of our model.

So, in this case we have that:

So, the correct answer is: the rate of change for the sales tax is $0.08 per dollar.

In order to create the tree diagram, first, create the principal branches which is the type of item,

Then, divide the three colors for each of the items

.the, count the final branches to know the possible outcomes, meaning that the number of possible outcomes is 6.

A function is a relation between variables y and x,

where theres only a y value for every x value

In this case x=1 . For every value of x = 1 ,there are infinite values for y , it can take any value , negative or positive.

So this is NOT a function

Triangle ABC with coordinates A (3, 4), B (7,7), and C (8, 1) is translated 6 units left and 7 units down.

we have that

the rule of the translation is

(x,y) -------> (x-6, y-7)

Applying the rule to the coordinates of triangle ABC

A(3,4) ------> A'(3-6,4-7)

A'(-3,-3)

B(7,7) ------> B'(7-6, 7-7)

B'(1,0)

C(8,1) --------> C'(8-6,1-7)

C'(2,-6)

First answer:

Second Answer:

The coordinates of the Y'' after reflection of poligon X'Y'Z' over the x axis: (-2, -4)

Solution

For this case we can do the following:

1)

2)

3)

4)

5)

done

Answer:

x = 33

Step-by-step explanation:

Creating an equation

The angles shown are corresponding angles

Corresponding angles are angles that occupy the same position and are on the same side of the transversal. For a better sense of this, kindly review the attached image.

Corresponding angles are congruent ( equal to each other )

This means that 124 = 4x - 8

Solving for x

124 = 4x - 8

==> add 8 to both sides

132 = 4x

==> divide both sides by 4

33 = x

∠1 and ∠2 are on same side exterior angles.  FALSE

∠3 and ∠12 are alternate interior angles.  FALSE

∠2 and ∠10 are corresponding angles.   TRUE

∠6 and ∠11 are alternate exterior angles.  TRUE

Corresponding angles ; Angles that are present in similar locations are said to be in correspondence with one another. The dimensions of both angles are equal

Alternate Interior Angle: This term refers to the angles that are present on the opposing sides of the transversal. They can be found on the inside of the Z that the figure's Z has produced. The angles are both equal to one another.

Alternative Exterior Angle: The alternative exterior angles are those that are externally located and present on the opposing sides of the transversal. Both angles measure the same and they may be seen on the exterior.

To know more about angles and lines ; you may visit the link which is mentioned below:

https://brainly.com/question/1597341

#SPJ13

Answer:

A number line a closed circle on 8, shading to the left, and a closed circle on 11, shading to the right.

Explanation:

Given the compound inequalities:

First, solve both inequalities:

Thus, the number line should be the one that represents the solution:

• For x≤8, there is a ,closed circle on 8, and ,shading to the left.

• For x≥11, there is a ,closed circle on 11, and ,shading to the right.

Therefore, the correct description will be:

A number line a closed circle on 8, shading to the left, and a closed circle on 11, shading to the right.

The last option is correct.

The opposite angles of a parallelogram are equal, therefore:

Opposite sides of a parallelogram are parallel and equal so:

∠TSQ and ∠RQS are alternate interior angles, therefore:

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

New size: Height = 18 in, Width = ?

Old size: Height = 2 in, Width = 1 in

We will get the width of the new photo by following the explanation below:

Therefore, the width of the enlarged photo is 9 inches

Use the next trigonometric identities:

Then, the sec(90º - θ) is:

The sin(θ) is:

Then:

Explanation

We are given the following:

We are required to determine the value of cos 16° from the diagram given.

We know that according to the trigonometry ratio rules:

So, we have:

Hence, the answer is: