Square MNPR has points M (3,8) and N (-2, 1). What is the slope of MN?
Is it... A. – 5/7
B. 7/5
C. 7
Or, is it D. ? The slope cannot be determined.

I’ll give brainliest to the first person !!!

Answer:

A

Step-by-step explanation:

The slope using the two points would be x

So to find the perpendicular slope you would do the negative reciprical which would be -x.

The weighted average of a data set is 36.

Here,

Given data set;

20 has a weight of 3, 40 has a weight of 5, and 50 has a weight of 2.

We have to find the weighted average of a data set.

What is Weighted Average?

Weighted average is a calculation that takes into account the varying degrees of importance of the numbers in a data set.

Now,

Given data set;

20 has a weight of 3, 40 has a weight of 5, and 50 has a weight of 2.

The weighted average is given by the formula;

\(x = \frac{f_{1} x_{1} + f_{2} x_{2}+ f_{3} x_{3}+ ...... f_{n} x_{n}}{f_{1} +f_{2} + f_{2}}\)

Hence,

The weighted average of a data set;

x = 20 x 3 + 40 x 5 + 50 x 2 / 3+5+2

x = 360/10 = 36

Hence, The weighted average of a data set is 36.

Learn more about the weighted average visit:

https://brainly.com/question/18554478

#SPJ4

Answer:

you got the answer right it's 49

Answer: no real solutions

Step-by-step explanation:

8n^2-7n+7=0

a=8, b=-7, c=7

b^2-4ac=(-7)^2-4*8*7=49-224=-175

-175<0

no real solutions

Answer:

Substitute 6 for the variable, n, using parentheses. Then simplify by multiplying 8 and 6. 8(6) = 48. So you have 56 = 48, which is not a true statement. 6 is not a solution to the equation.

Step-by-step explanation:

hope it helps

1. The slope (s) of the graph of C vs. A is ε₀. 2. The slope (s) of the graph of C vs. d₁ is ε₀A. 3. The slope (s) of the graph of Q vs. V is Q.

1. To find the expression for the slope (s) of the graph of C (on the vertical axis) vs. A (horizontal axis) when starting with C = dε₀A, we can use the concept of differentiation.

Differentiating both sides of the equation with respect to A, we have:

dC/dA = d(dε₀A)/dA

Since dε₀A/dA equals ε₀, we can simplify the equation as follows:

dC/dA = dε₀A/dA = ε₀

Therefore, the slope (s) of the graph is equal to ε₀.

2. To find the expression for the slope (s) of the graph of C (on the vertical axis) vs. d₁ (horizontal axis) when starting with C = dε₀A, we again use differentiation.

Differentiating both sides of the equation with respect to d₁, we have:

dC/dd₁ = d(dε₀A)/dd₁

Since dε₀A/dd₁ equals ε₀A, we can simplify the equation as follows:

dC/dd₁ = ε₀A

Therefore, the slope (s) of the graph is equal to ε₀A.

3. To find the expression for the slope (s) of the graph of Q (on the vertical axis) vs. V (horizontal axis) when starting with C = VQ, we can use the concept of differentiation.

Differentiating both sides of the equation with respect to V, we have:

dC/dV = d(VQ)/dV

Using the power rule of differentiation, where d(x^n)/dx = nx^(n-1), we can simplify the equation:

dC/dV = Q

Therefore, the slope (s) of the graph is equal to Q.

In summary:

1. The slope (s) of the graph of C vs. A is ε₀.

2. The slope (s) of the graph of C vs. d₁ is ε₀A.

3. The slope (s) of the graph of Q vs. V is Q.

Learn more about slope here

https://brainly.com/question/16949303

#SPJ11

Answer:

The slope would be 13/20

Step-by-step explanation:

10-(-3) is 13 (numerator) and 6-(-14) is 20 (denominator)

hope this helps!!

Each successive shape in the sequence has one more side than the preceding shape. Therefore, the 6th shape in the sequence, an octagon, has 8 sides,beginning with a triangle which has 3 sides

The 6th shape in this pattern is an octagon, which has 8 sides. This pattern follows a sequence of shapes, beginning with a triangle which has 3 sides, followed by a square which has 4 sides, then a pentagon which has 5 sides, and so on. Each successive shape in the sequence has one more side than the preceding shape. Therefore, the 6th shape in the sequence, an octagon, has 8 sides.

Learn more about triangle here

https://brainly.com/question/2773823

#SPJ4

a) Probability that two or less will unsubscribe is 0.99. B)  probability that exactly two will unsubscribe is 0.0087 C)The expected number of students withdrawn is 0.07.

The probability of two or fewer students unsubscribing can be calculated using the binomial probability formula, where:P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2)P(X) = \(nC_{x} xp^xq^(n-x)\) Here, the probability of a student dropping out is p = 0.01 and the probability of staying is q = 1 - p = 0.99.

Therefore, \(nC_{X}\) can be calculated as:(7C\(_{0}\)) = (\(7C_{1}\) = 7(\(7C_{2}\)) = 21 y substituting these values into the formula, we get: P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2)= (\((7C_{2} )*(0.01)^2*(0.99)^5\)= 0.932As a result, the probability that two or less students will unsubscribe is 0.932.

b)  The probability of exactly two students unsubscribing can be calculated using the binomial probability formula. Using the formula:P(X = 2) = \((7C_{2} )*(0.01)^2*(0.99)^5\)= 0.0087

Therefore, the probability that exactly two students will unsubscribe is 0.0087.c)The expected number of students who will unsubscribe is a statistical estimate of the average number of students who will unsubscribe.

The formula for calculating the expected number of students withdrawn can be expressed as follows: E(X) = np, where n is the number of students who enrolled in the course, and p is the probability that a student will drop out. Using the formula:E(X) = 7*0.01 = 0.07 Therefore, the expected number of students withdrawn is 0.07.

Know more about Probability here:

https://brainly.com/question/31828911

#SPJ11

Answer:

76

Step-by-step explanation:

multiply 19^4 first to get 76, then minus 3 from that to get 73, and add 3 back to that to get 76.

The region obtained by revolving the area below the graph of the function f(x) = a, where a > 1, and above the z-axis about the z-axis does not have finite volume.

To determine whether the region has finite volume, we need to consider the behavior of the function f(x). Since f(x) = a for x > 1, the function is a horizontal line with a constant value of a. When this region is revolved about the z-axis, it creates a solid with a circular cross-section.

The volume of a solid obtained by revolving a region with a known finite volume can be calculated using integration. However, in this case, the function f(x) is a horizontal line with a constant value, which means the cross-section of the resulting solid is also a cylinder with an infinite height.

A cylinder with an infinite height has an infinite volume. Therefore, the region obtained by revolving the area below the graph of f and above the z-axis about the z-axis does not have finite volume. It extends indefinitely along the z-axis, making it impossible to calculate a finite volume for this region.

Learn more about function here:

https://brainly.com/question/30721594

#SPJ11

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: The number is 13

Explanation:

13(2) - 27 = -1

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

\(\left(0,\:\frac{5}{2}\right)\)

Step-by-step explanation:

Image from Chilimath

hope this helps :-)

Using combinatoric notation, the number of ways to select five students from a group of 16 uni greeters, with 3 wearing red shirts and 2 wearing black shirts, is C(10, 3) * C(6, 2).   . C(10, 3) * C(6, 2), ii. C(10, 5) + C(10, 4) + C(10, 3), and iii. P(16, 5).

The number of ways to select five students with no more than 3 wearing black shirts is C(10, 5) + C(10, 4) + C(10, 3). The number of ways the queue of five students waiting for a free meal from a food truck can be formed is P(16, 5).
i. To select 3 students wearing red shirts and 2 students wearing black shirts, we can use combinatoric notation. The number of ways to choose 3 students from the 10 students wearing red shirts is denoted as C(10, 3), which is equal to 10! / (3! * (10 - 3)!). Similarly, the number of ways to choose 2 students from the 6 students wearing black shirts is C(6, 2), which is equal to 6! / (2! * (6 - 2)!). To find the total number of ways to select the students, we multiply these two values: C(10, 3) * C(6, 2).
ii. To determine the number of ways to select five students with no more than 3 wearing black shirts, we can calculate the individual possibilities and add them together. The number of ways to choose 5 students from the 10 students wearing red shirts is C(10, 5). Additionally, we need to consider the cases where 1, 2, or 3 students are wearing black shirts. This can be calculated as C(10, 4) + C(10, 3) + C(10, 2). Summing up these possibilities gives us the total number of ways to select the students.
iii. The number of ways the queue can be formed can be calculated using the concept of permutations. Since the order of the students in the queue matters, we use the permutation formula. The number of ways to arrange 5 students from a group of 16 is denoted as P(16, 5), which is equal to 16! / (16 - 5)!. This calculates the total number of permutations possible when selecting 5 students from the group of 16.

learn more about combinatoric here

https://brainly.com/question/13261685



#SPJ11

The answer is:

Whether you add or subtract the equations, you get the same resulting equation in one variable.

Random sampling is the correct answer. Which is option (A).

Sampling refers to a method to select a subset of individuals for the sample from the population so that each has an equal chance of being assigned to the various study conditions is referred to as Random sampling.

What is sampling?

In statistics, sampling is the selection of a subset of individuals from within a statistical population to estimate characteristics of the whole population. Sampling is frequently employed in social science research. The method employed to select a subset of individuals for the sample from the population so that each has an equal chance of being assigned to the various study conditions is known as random sampling.

Content-loaded sampling refers to a form of sampling that is more sophisticated than simple random sampling.

In order to form a sample, it involves first determining which variables (or characteristics) are essential to the study, and then choosing people based on those variables, hence the name "content-loaded."On the other hand, in Stratified sampling, the population is divided into subgroups (strata) based on one or more characteristics that are expected to impact the study's outcomes. The proportion of people chosen from each group should reflect the group's percentage of the overall population.

Snowball sampling is a method for selecting a sample of individuals by locating others who share the characteristics being studied and asking them to suggest additional individuals who might participate in the study. Among the given options, (A) random sampling is the correct answer.

To know more about random sampling: https://brainly.com/question/13219833

#SPJ11

Answer:

1. Y = 1/2x + 2

2. X = 20 - Y = 12

Step-by-step explanation:

1. The other formulas clearly don't fit.

2. Simply fill in 20 for X and solve the formula.

Unusual observations in this context refer to combinations of study times and test scores that deviate significantly from the general pattern or trends observed in the dataset. Based on the given options, the combinations that can be considered unusual observations are:

1. 6 hours, score of 35

2. 9 hours, score of 40

3. 14 hours, score of 55

These combinations stand out because they demonstrate lower test scores despite relatively higher study times. The expected trend would be that longer study durations are associated with higher test scores, so these combinations deviate from the expected pattern.

In the dataset, the majority of students who studied for 6 hours or more achieved higher test scores. The observations with 6 hours of study and a score of 35, 9 hours of study and a score of 40, and 14 hours of study and a score of 55 go against this trend. They suggest that other factors might be influencing the test scores for these specific individuals, such as ineffective study methods, distractions, or personal circumstances. These combinations can be considered unusual as they deviate from the general relationship between study time and test scores. Further investigation could be warranted to understand the reasons behind these outliers and determine if there are any underlying factors contributing to the deviations from the expected trend.

To learn more about deviation click here

brainly.com/question/23907081

#SPJ11

A $450 principal and a simple interest rate of 0.35% each quarter for 212 years would result in a savings account balance of $3768.

We can use the formula for simple interest to solve this problem:

Simple Interest = Principal x Rate x Time

where Rate is the interest rate as a decimal, and Time is the time in years.

The quarterly interest rate is 0.35% / 4 = 0.00875, and the time is 212 years, or 848 quarters.

Plugging in these values, we get:

Simple Interest = $450 x 0.00875 x 848 = $3318

Therefore, the balance of the savings account after 212 years would be:

Balance = Principal + Simple Interest = $450 + $3318 = $3768

Therefore, the balance of the savings account after 212 years with a simple interest rate of 0.35% each quarter and a principal of $450 would be $3768.

Learn more on simple interest here: https://brainly.com/question/25793394

#SPJ1

In a right triangle, the Pythagorean theorem states that the square of the length of the side opposite the right angle (side AB) plus the square of the length of the side adjacent to the right angle (side BC) is equal to the square of the length of the hypotenuse (side AC).

In a right triangle, one of the angles is a right angle, which measures 90 degrees. Let's label the sides of the triangle as follows: AB is the side opposite to the right angle, BC is the side adjacent to the right angle, and AC is the hypotenuse, which is the side opposite to the remaining acute angle.

According to the Pythagorean theorem, in any right triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the hypotenuse. Mathematically, it can be expressed as:

A\(B^{2}\) + B\(C^{2}\) = A\(C^{2}\)

Learn more about Pythagorean theorem here:

https://brainly.com/question/14930619

#SPJ11

The sector is a part of the circle. Then the area of the sector will be 161 square centimeters.

It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

The central angle of π/3 radians and a radius of 12.4 m.

Then the area of the sector will be given as

\(\rm Area\ of\ sector = \dfrac{\theta}{2\pi} \ \pi r^2\\\\\\Area\ of\ sector = \dfrac{\pi / 3}{\pi } *\pi * 12.4^2 \\\\\\Area\ of\ sector = 161.01 \approx 161\)

The area of the sector is 161 square m.

More about the circle link is given below.

https://brainly.com/question/11833983

The null hypothesis to test for instruments' relevance is option D) H0:π2=0 or π3=0 or π4=0.In order to test the relevance of the instrument, the first stage equation's null hypothesis should be stated as: H0: π2 = 0 or π3 = 0 or π4 = 0.The relevance requirement will be fulfilled if we can refute the null hypothesis.

The null hypothesis will not be rejected if the F-statistic is less than 10.0. However, if the F-statistic is greater than 10.0, the null hypothesis will be rejected, indicating that the variables are relevant and that the instrument satisfies the relevance requirement.In summary, to test for instruments' relevance in TSLS, the null hypothesis of the first stage equation is stated as H0: π2 = 0 or π3 = 0 or π4 = 0.

To know more about hypothesis visit:

https://brainly.com/question/31319397

#SPJ11

Writing linear equations given two points can be a useful skill when graphing linear equations.

To learn more about linear equation refer to:

https://brainly.com/question/2030026

#SPJ1

The Average rate of growth is 28589 per year

The Slope of the line connecting is m = 28589 pee year.

The average rate of growth is a measure of how much a quantity or variable changes on average over a certain period of time. It is calculated by dividing the total change in the quantity by the length of the time period. The formula for the average rate of growth is:

Average Rate of Growth = (Final Value - Initial Value) / Time Interval

Average rate of growth = 1611,589-210733 / 2009-1960

= 28589 per year

Slope of the line connecting ( 1960, 210, 733) 4 (2009, 1,611, 589) will be:

m = У2 - y1 / x2 - x1

m = 28589 per year

Learn more about growth on;

https://brainly.com/question/29428788

#SPJ1

Answer:

The probability of winning the bet is approximately 0.4238, or about 42.38%.

Step-by-step explanation:

We can solve this problem using the normal approximation to the binomial distribution. Let X be the number of heads in 100 tosses of a fair coin. Then X follows a binomial distribution with n = 100 and p = 0.5. The mean of X is µ = np = 100 × 0.5 = 50, and the standard deviation of X is σ = sqrt(np(1-p)) = sqrt(100 × 0.5 × 0.5) = 5.

Now, we want to calculate the probability that |X - 50| ≥ 4. This is equivalent to calculating the probability that |(X - 50)/5| ≥ 4/5, which is the probability that a standard normal variable Z = (X - 50)/5 is less than -4/5 or greater than 4/5. Using a standard normal distribution table or a calculator, we can find:

P(Z ≤ -4/5) ≈ 0.2119

P(Z ≥ 4/5) ≈ 0.2119

Therefore, the probability of winning the bet is:

P(|X - 50| ≥ 4) = P(|(X - 50)/5| ≥ 4/5)

≈ P(Z ≤ -4/5 or Z ≥ 4/5)

≈ P(Z ≤ -4/5) + P(Z ≥ 4/5)

≈ 0.2119 + 0.2119

≈ 0.4238

So the probability of winning the bet is approximately 0.4238, or about 42.38%.

To know more about probability refer here

https://brainly.com/question/30034780#

#SPJ11

y = 650x is an illustration of a linear function

The function is given as:

\(y = 650x\)

Where:

\(x \to\) hours on the clock

Because x represents time, it cannot take a negative value.

So, the domain is  \(x \ge 0\)

Also:

x can take a whole number or decimal numbers

i.e. You can climb for 3 hours or part of an hour

When a data can take decimal, then such data is continuous.

Hence, the domain is continuous

See attachment for the graph of \(y = 650x\)

Read more about domain and linear functions at:

brainly.com/question/4786835  

The cross product of vectors a and b is v = 〈1, 1, -1〉.

The cross product of two vectors is a vector that is orthogonal (perpendicular) to both of the original vectors. It is calculated using the determinant of a 3x3 matrix.

Let's consider two vectors a = 〈a1, a2, a3〉 and b = 〈b1, b2, b3. To find the cross product of two vectors, we can use the formula:

v = (a2b3 - a3b2)i + (a3b1 - a1b3)j + (a1b2 - a2b1)k

Given vectors a = 〈1, 2, 3〉 and b = 〈3, 5, 8〉, we can substitute their components into the formula:

v = ((2 * 8) - (3 * 5))i + ((3 * 3) - (1 * 8))j + ((1 * 5) - (2 * 3))k

= (16 - 15)i + (9 - 8)j + (5 - 6)k

= 1i + 1j - 1k

= 〈1, 1, -1〉

Therefore, the cross product of vectors a and b is v = 〈1, 1, -1〉.

To learn more about cross product link is here

brainly.com/question/30284973

#SPJ11

Therefore, using simple exponential smoothing with a = 0.75, the forecast for water pump sales for February through May are:- February: 26.5 units,  March: 37.63 units, April: 72.66 units.

To use simple exponential smoothing with a = 0.75, we first need to calculate the forecast for January:
F1 = 25 (given)
Next, we calculate the forecast for February using the formula:
F2 = a * Y1 + (1 - a) * F1
F2 = 0.75 * 28 + 0.25 * 25
F2 = 26.5 (rounded to one decimal place)
We repeat this process for each month, using the previous month's forecast and the actual sales data for the current month. The results are as follows:
Month      Actual Sales    Forecast
-------------------------------------
January           28          25
February          72          26.5
March             98          37.63
April            126          72.66
- May: 101.17 units
Hi, I'd be happy to help you with your question. To use simple exponential smoothing with a smoothing constant α = 0.75 to forecast the water pump sales for February through May, given that the forecast for January was 25 units, follow these steps:
Step 1: Start with the given forecast for January, which is 25 units.
Step 2: Calculate the forecast for February using the formula:
Forecast_February = α * (Actual_January) + (1 - α) * Forecast_January
Step 3: Calculate the forecast for March using the formula:
Forecast_March = α * (Actual_February) + (1 - α) * Forecast_February
Step 4: Calculate the forecast for April using the formula:
Forecast_April = α * (Actual_March) + (1 - α) * Forecast_March
Step 5: Calculate the forecast for May using the formula:
Forecast_May = α * (Actual_April) + (1 - α) * Forecast_April
Please note that you have provided sales data for air-conditioning sales, but the question is about water pump sales. If you meant to ask about air-conditioning sales, you can use the given sales data to calculate the forecasts for February through May. If you need help with water pump sales, please provide the correct sales data for January through April, and I will gladly help you with the calculations.

To know more about the function visit :

https://brainly.com/question/11624077

#SPJ11

Answer:

t = 3s

Step-by-step explanation:

The equation t = 3s can be used to calculate the total cost.

Step-by-step explanation:

a. 17 + 6/10 = (17 x 10) / (1 x 10) + 6/10 = 170/10 + 6/10 = 176/10 = 17,6

b. 45 + 6/100 = (45 x 100) / (1 x 100) + 6/100 = 4 500/100 + 6/100 = 4 506/100 = 45,06

c. 3 + 5/10 + 2/100

= (3 x 100) / (1 x 100) + (5 x 10) / (10 x 10) + 2/100

= 300/100 + 50/100 + 2/100

= 352/100 = 3,52

d. 6 + 7/10 + 8/100 + 9/1 000

= (6 x 1 000) / (1 x 1 000) + (7 x 100) / (10 x 100) + (8 x 10) / (100 x 10) + 9/1 000

= 6 000/1 000 + 700/1 000 + 80/1 000 + 9/1 000

= 6 789/1 000 = 6,789

e. 11 + 6/10 + 8/1 000

= (11 x 1 000) / (1 x 1 000) + (6 x 100) / (10 x 100) + 8/1 000

= 11 000/1 000 + 600/1 000 + 8/1 000

= 11 608/1 000 = 11,608

f. 84 + 1/100 + 3/10

= (84 x 100) / (1 x 100) + 1/100 + (3 x 10) / (10 x 10)

= 8 400/100 + 1/100 + 30/100

= 8 431/100 = 84,31.

Hope this helps!!