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No, the sample standard deviation of differences (sd) is not equal to the difference of the sample standard deviations (s1 - s2).

The sample standard deviation of differences is a measure of the dispersion or spread of the differences between two sets of data. It is calculated by taking the square root of the average of the squared differences between each paired observation. On the other hand, s1 and s2 represent the individual sample standard deviations of two separate data sets. Simply subtracting these values (s1 - s2) does not give you the correct measure of the dispersion of the differences between the two sets of data.

The sample standard deviation of differences (sd) cannot be obtained by merely subtracting the sample standard deviations of the individual data sets (s1 - s2). Instead, the proper method for calculating the sample standard deviation of differences should be used.

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A discrete random variable has either a finite or a countable number of values.

Discrete random variables are defined as variables that can only take on a finite number of values. If any random variable takes a countable number of all the possible values, it is referred to be a discrete random variable. For instance, while flipping a coin, the random variable X will take the values 0, 1, and 2 depending on the number of heads.

If the value of any variable, such as X, is uncertain, that variable is said to be a random variable. It may also be defined as a function that is crucial in giving values to the results of any random experiment. Depending on the sort of numeric values they include, random variables can be either discrete or continuous.

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The angles of intersecting chords theorem indicates that the true statement is the option m\(\widehat{SU}\) = 52°

The angles of intersecting chords theorem states that the angle formed by intersecting chords in a circle is equivalent to half the sum of the measure of the intercepted arcs.

m∠UYZ = m∠SYX = 67° (Vertical angles theorem)

m∠SYU = 180° - m∠SYX (Properties of linear pair angles)

m∠SYU = 180° - 67° = 113°

m∠SYU = 113° = m∠SYZ

m∠YSX = 42°, therefore;

The measure of the arc RT, m\(\widehat{RT}\) = 2 × 42° = 84° (The angle formed at the center is twice angle formed at the circumference)

m\(\widehat{VT}\) = m\(\widehat{VR}\) + m\(\widehat{RT}\)

m\(\widehat{VT}\) = 174°

m\(\widehat{RT}\) = 84°

Therefore; m\(\widehat{VR}\)  = m\(\widehat{VT}\) - m\(\widehat{RT}\)

m\(\widehat{VR}\)  = 174° - 84° = 90°

Therefore; m∠YUZ = 90° ÷ 2 = 45°

m∠SZU = m∠YZU = 180° - 45° - 67° = 68°

m∠SZU = 68°

Let Q represent the point on the circumference of the arc \(\widehat{VT}\), we get;

m∠VQT = 174° ÷ 2 = 87°

The opposite angles of a cyclic quadrilateral are supplementary, therefore; m∠VRT = 180° - 87° = 93°

m\(\widehat{VST}\) = 2 × 93° = 186°

m∠YZU = 180° - 67° - 45° = 68°

m∠SXY = 180 - 42 - 67 = 71°

(1/2) × (m\(\widehat{SU}\) + m\(\widehat{VT}\)) = m∠SYU = 113°

(1/2) × (m\(\widehat{SU}\) + 174°) = 113°

226° = m\(\widehat{SU}\) + 174°

m\(\widehat{SU}\) = 226° - 174° = 52°

m\(\widehat{SU}\) = 52°

m∠VRT = 93° ≠ m∠XYZ = 113° VYTR is not a rhombus

The angles of intersecting chords theorem indicates that we get;

(1/2) × (m\(\widehat{UT}\) + m\(\widehat{VS}\)) = 67°

However, the triangles ΔYSX and ΔYUZ are not similar, therefore;

Triangles ΔYSV and ΔYUT are not similar, which indicates that the side SV is not congruent to UT, and m\(\widehat{VS}\) ≠ 2 × 67/2 = 67

The correct option is therefore;

m\(\widehat{SU}\) = 52°

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The probability that the car selected was a domestic car and older than 2 years is 0.63 or 63%.

Probability is a mathematical concept that quantifies the likelihood or chance of an event occurring. It is a value between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. In between, probabilities reflect the degree of certainty that an event will occur, with values closer to 1 indicating a higher likelihood of occurrence and values closer to 0 indicating a lower likelihood.

The probability of an event is calculated by taking the ratio of the number of favorable outcomes to the total number of possible outcomes.

domestic car older than 2 years/total domestic cars = (28 + 12 + 23)/100 = 63/100 = 0.63 = 63%

Therefore, the probability of selecting a car that is less than 2 year given that it is a domestic car is 0.63 or 63%.

*The problem seems incomplete, attached might be the complete version of it.

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Answer:

8.13

Step-by-step explanation:

Move decimal over to the left 2 spaces

Equation of the line

The equation of a line in slope-intercept form is:

y = mx + b

Where m is the slope and b is the y-intercept.

We are required to find the equation of a line that is perpendicular to the line

y = 5x + 4

and passes through the point (-5,2)

The first thing we need to do is to calculate the slope of the required line.

The slope of the given line is m1=5. Two lines are perpendicular if their slopes satisfy the equation:

m1 * m2 = -1

Solving for m2:

The equation of the required line is:

To find the value of b, we substitute the given point (-5,2):

Operating:

Solving for b:

b = 1

Finally, our equation is:

Answer:

18

Step-by-step explanation:

\( \{{2}^{3} (4 \div 2) \}+ 2 \\ \\ = \{{2}^{3} \times 2 \} + 2 \\ \\ = {2}^{3 + 1} + 2 \\ \\ = {2}^{4} + 2 \\ \\ = 16 + 2 \\ \\ = 18\)

Answer:

anything with a slope of 8/7

Step-by-step explanation:

We can see that the experimental probability is smaller than the theoretical one.

The theoretical probability is equal to the quotient between the number of yellow marbles and the total number, so here we have:

T = 3/8 = 0.375

The experimental probability is equal to the quotient between the number of times that Mel got a yellow marble and the total number of trials, so here we have:

E = 12/40 = 0.3

So the experimental probability is smaller than the theoretical one.

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Answer:

4,368 please I hope it is correct I used a calculator

\(\text{L.H.S}\\\\\sec x - \tan x \sin x\\\\\\=\dfrac{1}{\cos x}- \dfrac{\sin x }{ \cos x } \cdot \sin x\\\\\\=\dfrac 1{\cos x} - \dfrac{\sin^2 x}{\cos x}\\\\\\=\dfrac{1- \sin^2 x}{\cos x}\\\\\\=\dfrac{\cos^2 x}{\cos x}~~~~~~~~~~~~~;[\sin^2 x + \cos^2 x = 1]\\\\\\=\cos x\\\\\\=\text{R.H.S}\\\\\text{Since both sides are equal, the given equation is an identity.}\)

Answer:

I believe it's D

Step-by-step explanation:

hope this helps

If you received a gift of $10,000 3 years ago and you want to spend it in 3 years with interest rate is 4%, it will be worth $12,653.19. Option b is correct.

To calculate the future value of a present sum after a specified period, we can use the formula for compound interest:

Future Value = Present Value * (1 + Interest Rate)ᴺ

In this case, the present value is $10,000, the interest rate is 4% or 0.04, and the number of periods is 6 years because you received the gift 3 years ago and want to spend it in 3 years.

Using the formula:

Future Value = \(\$10,000 * (1 + 0.04)^6\)

Future Value = \(\$10,000 * (1.04)^6\)

Future Value = $10,000 * 1.1265319

Future Value ≈ $12,653.19

Therefore, the amount will be approximately $12,653.19. Option b is correct.

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Answer:

Hi I'm learning the same thing and I just got it I think it's C=43.98cm

Answer:

Step-by-step explanation:

far away

Answer:3 inches

Step-by-step explanation:

The derivative dy/dx of the equation ysin(x^2) = xsin(y^2) is given by (sin(y^2) - ycos(x^2)2x) / (sin(x^2) - 2yxcos(y^2)).

In the given equation, y and x are both variables, and y is implicitly defined as a function of x. To find dy/dx, we differentiate each term using the chain rule and product rule as necessary.

Differentiating the left-hand side of the equation, we apply the product rule to ysin(x^2). The derivative of ysin(x^2) with respect to x is dy/dxsin(x^2) + ycos(x^2)*2x.

Differentiating the right-hand side of the equation, we apply the product rule to xsin(y^2). The derivative of xsin(y^2) with respect to x is sin(y^2) + x*cos(y^2)2ydy/dx.

Now we have two expression for the derivative of the left and right sides of the equation. To isolate dy/dx, we can rearrange the terms and solve for it.

Taking the derivative of ysin(x^2) = xsin(y^2) with respect to x using implicit differentiation yields:
dy/dxsin(x^2) + ycos(x^2)2x = sin(y^2) + xcos(y^2)2ydy/dx.

By rearranging the terms, we can solve for dy/dx:
dy/dx * (sin(x^2) - 2yxcos(y^2)) = sin(y^2) - y*cos(x^2)*2x.

Finally, we can obtain the value of dy/dx by dividing both sides by (sin(x^2) - 2yxcos(y^2)):
dy/dx = (sin(y^2) - ycos(x^2)2x) / (sin(x^2) - 2yxcos(y^2)).

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The expected time for activities, use the formula for expected value and multiply the time for each activity by its probability. Therefore, the expected time for these activities is 2.8 hours.

To calculate the expected time for activities, we can use the formula for expected value.

The expected value is calculated by multiplying the time for each activity by its probability of occurrence, and then summing up these values. The formula for expected value is: Expected Value = (Time1 * Probability1) + (Time2 * Probability2) + ... + (TimeN * ProbabilityN) Here's a step-by-step example:

1. List all the activities and their corresponding times and probabilities.

2. Multiply the time for each activity by its probability.

3. Sum up the values obtained in step 2.

For example, let's say we have two activities: Activity 1: Time = 2 hours, Probability = 0.6 Activity 2: Time = 4 hours, Probability = 0.4 Using the formula, we calculate the expected time as follows: Expected Time = (2 hours * 0.6) + (4 hours * 0.4) = 1.2 hours + 1.6 hours = 2.8 hours

Therefore, the expected time for these activities is 2.8 hours.

Here full question is not provided  but the full answer given above.

Remember, this is just one example, and you can use the same formula for any number of activities with their respective times and probabilities. In summary, to calculate the expected time for activities, use the formula for expected value and multiply the time for each activity by its probability. Then, sum up these values to get the expected time.

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Answer:

13 in.

Step-by-step explanation:

perimeter of triangle = 3 1/3+5 1/2 + 4 1/6

=10/3+11/2+25/6

=20/6+33/6+25/6

=(20+33+25)/6

=78/6

=13 inch.

Answer:

Slope: -8/3

Step-by-step explanation:

y + 3 = -8 (x-4)

y+3 = -8x + 32

y = -8/3x + 29

Therefore, the slope is -8/3.

The slope is :

Solution:

Givens :

To determine the slope, it's important to know the form of the equation first.

The forms are:

This equation matches point slope perfectly.

\(\rule{350}{4}\)

In point slope, m is the slope and (x₁, y₁) is a point on the line.

Similarly, the slope of \(\bf{y+3=-8(x-4)}\) is -8.

Extra info

The point of the line is \(\bf{(4,-3)}\).

Answer:

QR

Step-by-step explanation:

If two shape are congruent, it means they have equal corresponding sides and angles. You can find which ones are corresponding to each other by where the letters are placed in the shapes given name.

For example, given: BCDE & OPQR

BC = OP

CD = PQ

DE = QR

Notice that DE is the 3rd and last letter in BCDE

QR is also the 3rd and last letter of OPQR

Answer:

5

Step-by-step explanation:

50  by divded 5 is 10 90 divided by 5 is 18 and 110 divded  by 5 is 22 hope this helps!

Answer:

\(27.6^\circ\)

Step-by-step explanation:

Given:

A \(\triangle RST\) with \(\angle T =90 ^\circ\)

ST = 44 feet

TR = 84 feet

To find:

\(\angle R = ?\)

Solution:

Please have a look at the attached figure for clear view of the given dimensions of the right angled triangle.

Here, we can use trigonometric formula to find out the \(\angle R\).

We know that formula for tangent of angle \(\theta\) is given as:

\(tan \theta = \dfrac{\text{Perpendicular}}{\text{Base}}\)

Here, Perpendicular for \(\angle R\) is side ST and

Base is side TR.

Putting the values in above tangent formula:

\(tan R = \dfrac{ST}{TR}\\\Rightarrow tan R = \dfrac{44}{84}\\\Rightarrow tan R = 0.523\\\Rightarrow \angle R = 27.6^\circ\)

Hence, \(\angle R = 27.6^\circ\) is the answer.

Answer:

66.1

Step-by-step explanation:

Answer:

80 degrees

Step-by-step explanation:

The whole angle EBD is 115 degrees, and angle DBG is 35 degrees, therefore

angle GBE is 115-35=80 degrees

Think about it like this, DBG and GBE need to add up to the angle measure of EBD, in other words 35 + GBE = 115

Answer:

Step-by-step explanation:

<DBE = <DBG + <GBE

<DBE = 115                  Given

<DBG = 35                  Given

<GBE = ?

You have to know a couple of things before you start.

115 = <GBE + 35                  Subtract 35 from both sides.

115 - 35 = <GBE

80 = <GBE

Eplaination of algebraic rules with equation of line is describe below

Algebraic rules are maths expression of two variable that can be written in the form of equation.

Now we will understand by the equation of line given in the question,

we have Y = mx + c

where y is the intercept on y-axis, m is the slope of line, x is intercept on x-axis, and c is the point where line cuts y-axis.

This equation represent the line which follows algebraic rules.

Graph of equation:

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It is critical to open a compass with over half the way in order for the arcs formed to meet for perpendicular bisector.

A perpendicular bisector would be a line that cuts a line segment in half and forms a 90-degree angle at the intersection point. In other words, a perpendicular bisector separates a line segment now at midpoint, forming a 90-degree angle.

Now, consider an example;

When you wish to build a perpendicular line on a line segment, like line AB, you do the following;

A line AB appears to be bisected perpendicularly as a result. The arcs would not have met if the compass is opened less than half way down line AB.

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The equations x° + 65° = 180°, x° = z° and y° = 65° are true for the values of x, y and z. The solution has been obtained by using angles and line.

What are angles and line?

Straight lines with little depth or width are present. There are many different types of lines, including perpendicular, intersecting, transversal, etc. A figure called an angle is one in which two rays originate from the same point.

We are given that 2 lines intersect to form 4 angles which are 65°, x°, y°, z°.

1. x° + 65° = 180°

We know that angles on a straight line form a linear pair i.e. their sum is 180°. So, this statement is true.

2. x° = z°

We know that vertically opposite angles are equal. So, x° will be equal to z°. Thus, this statement is true.

3. y° = 65°

We know that vertically opposite angles are equal. So, y will be equal to 65°. Thus, this statement is true.

4. x° = 65°

This statement is false because these are the angles on a straight line which must add up to 180°.

5. x° + y° + z° = 115°

We know that angles in a circle add upto 360°. We know one angle as 65°. So, the remaining angles should add upto 295°. Thus, the statement is false.

Hence, the equations x° + 65° = 180°, x° = z° and y° = 65° are true for the values of x, y and z.

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Question: Which equations are true for the values of x, y, and z? Select three options.

2 lines intersect to form 4 angles as shown in the figure. Clockwise, from top, the angles are: 65 degrees, x, y, z.

x degrees + 65 degrees = 180 degrees

x degrees = z degrees

y degrees = 65 degrees

x degrees = 65 degrees

x degrees + y degrees + z degrees = 115 degrees

Answer: 80 x  −  60.55

Answer:

-8 and 6

Step-by-step explanation: