Find the measure of ZM

Answer:

8/3

Step-by-step explanation:

subtract 4 from both sides.

3x+4−4=12−4

3x=8

Divide both sides by 3.

3x/3 = 8/3

x=8/3

Answer:

-2

Step-by-step explanation:

if lines are parallel then they always have the same slope!

The distribution of X₁ - 3X₂ is a normal distribution with mean μ₁ - 3μ₂ and variance s₁² + 9s²₂ - 6rhos₁s₂.

To find the distribution of X₁ - 3X₂, we need to find the mean and variance of this new variable.

The mean of X₁ - 3X₂ is:

E(X₁- 3X₂) = E(X₁) - 3E(X₂) = μ₁ - 3μ₂

The variance of X₁ - 3X₂ is:

Var(X₁ - 3X₂) = Var(X₁) + 9Var(X₂) - 6Cov(X₁,X₂)

Since X₁ and X₂ have a bivariate normal distribution with means μ₁ and μ₂, variances s₁ and s₂ and correlation rho, we know that:

Var(X₁) = s²₁

Var(X₂) = s²₂

Cov(X₁,X₂) = rhos₁ s₂

Substituting these values into the variance equation, we get:

Var(X₁ - 3X₂) = s₁² + 9s²₂ - 6rhos₁s₂.

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The number of cans required to paint an area of 2000 square units is equal to 5 cans.

As given in the question,

Total area to be painted is equal to 2000 square units.

Area covered by one can of paint is equal to 400 square units

400 square units = 1 can of paint

⇒ 1 square units = ( 1 / 400 ) cans of paint

⇒ 2000 square units =  ( 2000 / 400 ) cans of paint

⇒ 2000 square units = 5 cans of paint

Therefore, the number of cans required to paint an area of 2000 square units using given can is equal to 5 cans.

The above question is incomplete, the complete question is:

How many cans of paint are needed to cover an area of 2000 square units if one can of paint covers in area 400 square units?

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The probability of the spinner landing on 5 is 1/8.

The spinner is divided into 8 equal sections, and each section represents a number from 1 to 8. Since there is only one section with the number 5, the favorable outcome is landing on 5.

To calculate the probability, we need to determine the ratio of the favorable outcomes (landing on 5) to the total number of possible outcomes (numbers 1 to 8 on the spinner).

The total number of possible outcomes is 8, as there are 8 numbers on the spinner. Therefore, the probability of landing on 5 can be calculated as follows:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 1 (favorable outcomes) / 8 (total possible outcomes)

Simplifying the expression:

Probability = 1/8

In other words, if we were to spin the spinner many times, we would expect it to land on 5 approximately 1 out of every 8 spins, on average.

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The equation of g(x) is 24 (3)ˣ when the graph is stretched vertically by a factor of 3 to form the graph g(x).

What is function?

For the parent function f(x) and a constant k >0,

then, the function given by  

g(x) = kf(x) can be sketched by vertically stretching f(x) by a factor of k if k>1 (or)

if 0 < k < 1 , then it is vertically shrinking f(x) by a factor of k

As per the given statement that the graph of f(x) is stretched vertically by a factor of 3 i.e

k = 3 >1

so, by definition

g(x) = 3 f(x) = 3 . 8(3)ˣ

= 8(3)ˣ⁺¹

= 24 (3)ˣ

Hence, the equation of g(x) is 24 (3)ˣ when the graph is stretched vertically by a factor of 3 to form the graph g(x).

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The probability of selecting two purple shirts then a blue shirt is  28/323

Given, there are 12 blue shirts and 7 purple shirts in a drawer.

three shirts are randomly selected without replacement.

the probability of selecting two purple shirts then a blue shirt is,

(C(7 , 2) × C(12 , 1))/C(19 , 3) = ((7×6)/2 × 12)/(19×18×17)/6

= (7×6×6)/(19×3×17)

= 84/969

= 28/323

Hence, the probability of selecting two purple shirts then a blue shirt is  28/323

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Answer:

F type connector

Step-by-step explanation:

Use an F-type connector for broadband cable connections that use coaxial cable.

The F connector is a coaxial RF connector commonly used for "over the air" terrestrial television, cable television and universally for satellite television and cable modems,

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F type connector

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Answer:

Elapsed time: 1 hour and 9 minutes

Step-by-step explanation:

7:41 - 8:41 = 1 hour

8:41 - 8:50 = 9 minutes

1 hour and 9 minutes

Hope that helps!

We know that the function that have been shown is an exponential function thus Option (1),(4) and (5) are correct.

The exponential function is a mathematical function that can be seen to carry a power such as the one shown here.

The domain is the set of all possible values for x, which is the set of all real numbers. Range is the set of all possible values for y, where y>0 refers to all real numbers greater than zero.

Seeing that; x = 0 and y = 49 then  x1 = y and y1 = 1. We have that y1 = y/7 thus Option (1),(4) and (5) are correct.

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Answer:

-1, 2, 5 , 8 , 11   or  2, 5, 8, 11 , 14

Step-by-step explanation:

Assume n starts from 0

a(0) = 3 (0) -1 = -1
a(1) = 3 (1) -1 = 2
a(2) = 3 (2) -1 = 5
a(3) = 3 (3) -1 = 8
a(4) = 3 (4) -1 = 11

notice If we Assume n starts from 1

a(1) = 3 (1) -1 = 2
a(2) = 3 (2) -1 = 5
a(3) = 3 (3) -1 = 8
a(4) = 3 (4) -1 = 11
a(5)= 3 (5) -1 = 14

Notice a sequence can start from any N. But the most common ones are n=0 or n=1

Answer:

2

(

4

+

3

)

Step-by-step explanation:

Answer:

Points A and B are not on the unit circle.

Step-by-step explanation:

Recall that a "unit circle" has a radius of 1, and so if x² + y² ≠ 1, the point is not on a unit circle.

In A we apply the Pythagorean Theorem as follows:  1² + 1² = 2 ≠ 1.

Therefore, point (1, 1) is not a point on the unit circle.

In B:  if we square the x and y components and add these squares together, we get 3/4 + 1/9, which does not equal 1.  Point not on unit circle.

In C, we get 4/9 and 5/9, which eqals 1.  This point C lies on the unit circle.

In D, we get 0.64 + 0.36 = 1, so this point does lie on the unit circle.

Thus:  not on unit circle:  A(1, 1), B(√3/2, 1/3)

On unit circle:  D(0.8, -0.6), C(-2/3, √5/3)

By combinatorics there are 35 number of possibilities.

What is combinatorics?

Combinatorics is a stream of mathematics which deals with the study of finite discrete structures. It concerns with the study of permutations and combinations, enumerations of the sets of elements. It often refers to the larger subset of discrete mathematics.

Kathryn has homework assignments in seven subjects. She only has time to do four of them.

We will solve the problem by Combinatorics method.

So in seven subjects she can do only 4.

By Combinatorics the probability will be

                      ₇C₄

In Combinatorics  the formula for ₙCₐ  will be n!/{a!(n-a)!}

Here n= 7 and a= 4

So  ₇C₄ = 7!/{4!×(7-4)!}

            = 7!/(4!×3!)

            = 35

Hence, there are 35 number of possibilities.

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Answer:

110

Step-by-step explanation:

What is the Difference between -45 and +65? In other words, what is the Difference between negative 45 and positive 65?

To solve this math problem, start by picturing a horizontal number line that starts with negative infinity on the left and ends with positive infinity on the right:

∞ ..... -3, -2, -1, 0, +1, +2, +3, .... ∞

The Difference between -45 and +65 is the distance between -45 and +65 on our number line above. Thus, the Difference between two numbers will always be a positive number.

It is a two-step process to calculate the Difference between -45 and +65. Step 1 is to subtract +65 from -45, and Step 2 is to find the absolute value of the Step 1 answer. Here is the math to illustrate better:

(-45) - (+65) = -110

|-110| = 110

That's it! The Difference between -45 and +65 is as follows:

110

The solution to the compound inequality is x > -3. The correct option is the third option x > -3

From the question, we are to solve the given compound inequality

2x - 2 > -8 or -4x ≤ -36

Solving the first inequality

2x - 2 > -8

Add 2 to both sides of the inequality

2x -2 + 2 > -8 + 2

2x > -6

Divide both sides by 2

2x/2 > -6/2

x > -3

Solving the second inequality

-4x ≤ -36

Divide both sides of the inequality

-4x/-4 ≤ -36/-4

x ≥ 9

From the two solutions, we can conclude that x > -3

Hence, the solution is x > -3

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Answer:

Step-by-step explanation:

See attachment

Answer:

is it to late now??

Step-by-step explanation:

When a survey has been distributed or launched and data is being collected, it is referred to as an active survey.

An active survey is ongoing and collecting responses from respondents. The data collected from an active survey can be used to improve the quality of the survey, as well as to provide insights into the opinions and experiences of the respondents.

During this time, respondents can take the survey at their convenience and are typically given a set amount of time to complete the survey. Active surveys are the most common type of survey, as they allow for a large number of responses to be collected in a relatively short amount of time.

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Answer: x = 6x/5

Step-by-step explanation:

Answer:

x = 10/3

Step-by-step explanation:

\(\frac{x}{2} + \frac{2}{2} = \frac{4x}{5}\)

\(\frac{x + 2}{2} = \frac{4x}{5}\)

\(x + 2 = \frac{8x}{5}\)

5x + 10 = 8x

10 = 3x

x = 10/3

Answer:

everything but 4 and 31!

Step-by-step explanation:

24: 9+9+1+1+1+3

29: 9+5+5+1+1+3

56: 9×6

Answer:

90°

Step-by-step explanation:

Since AB is the diameter of the circle with center O and C is any point on the circle.

So, ACB is a semicircular arc.

Angle inscribed in a semicircle is right angle.

\(\therefore \measuredangle C =90\degree \)

The best measure of variability is the standard deviation.

Player A is the most consistent, with an IQR of 1.5.

Standard deviation is defined as the square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean.

The table shows the number of goals made by two hockey players.

Player A:

2, 3, 1, 3, 2, 2, 1, 3, 6

Using  a statistics calculator, we have:

Mean = 2.56

S.D. = 1.51

Player B:

1, 4, 5, 1, 2, 4, 5, 5, 11

S.D. = 3.03

The best measure of variability is the standard deviation.

Player A is the most consistent, with an IQR of 1.5.

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Answer:

Your new total with the sale is 76.83 dollars

Step-by-step explanation:

The answer to the simplified expression 4⁹/4³ in index form is derived to be equal to 4⁶

To simplify a fraction written in index form, you can first express the numbers in prime factorization form by writing both the numerator and denominator as a product of prime factors. Identify common prime factors in the numerator and denominator and cancel them out. Then write the remaining factors as a product in index form.

Given the fraction 4⁹/4³, we can simplify as follows:

4⁹/4³ = (4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4)/(4 × 4 × 4)

we can cancel out (4 × 4 × 4) from both the numerator and denominator, living us with;

4⁹/4³ = 4 × 4 × 4 × 4 × 4 × 4

4⁹/4³ = 4⁶

Therefore, the answer to the simplified expression 4⁹/4³ in index form is derived to be equal to 4⁶

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The prime factor decompositions that include the common factors of 6435 and 6930 The correct answers are:

2x3

3²

3x11

2x3x5x7x11x13

3³x5x11

2x3¹x5²x7×11²x13

To find the common factors between 6435 and 6930, we need to identify the prime factors that appear in both prime factorizations.

Prime factorization of 6435:

6435 = 3 x 5 x 7 x 11 x 13

Prime factorization of 6930:

6930 = 2 x 3^2 x 5 x 7 x 11

To find the common factors, we look for the prime factors that are present in both factorizations.

The common prime factors are:

3, 5, 7, and 11.

Now let's examine the given prime factor decompositions:

2x3: This factorization includes the common factor 3.

3²: This factorization includes the common factor 3.

3x11: This factorization includes the common factors 3 and 11.

2x3x5x7x11x13: This factorization includes all the common factors 3, 5, 7, and 11.

3³x5x11: This factorization includes the common factors 3 and 11.

2x3¹x5²x7×11²x13: This factorization includes all the common factors 3, 5, 7, and 11.

2x7x13: This factorization does not include any of the common factors.

Based on the analysis, the prime factor decompositions that include the common factors of 6435 and 6930 are:

2x3

3²

3x11

2x3x5x7x11x13

3³x5x11

2x3¹x5²x7×11²x13

7x11x13

3³x5x11

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Solution

Question 1.

Question 2.

Question 3.

Idea: The reference angle is the smallest possible angle made by the terminal side of the given angle with the x-axis

For second quadrant, the corresponding angle is 180 - x => 180 - 81 = 99

For third quadrant, the corresponding angle is 180 + x => 180 + 81 = 261

For fourth quadrant, corresponding angle is 360 - x => 360 - 81 = 279

Hence, the other 3 parameters are, 99, 261, and 279

Question 4.

since 320 falls in the fourth quadrant, its reference angle is just 360 - 320 = 40

Therefore, its reference angle is 40 degrees.

Clear y from both equations to find the slope y intercept form of the equations

Now, find the equation for the line that is perpendicular to Eq. 1 and has the same y intercept as Eq. 2

Eq. 3 is the equation for the line