what is the slope of (-8,9) , (3,2)

The numbers of the jerseys of 5 randomly selected Carolina Panthers would fall under the category of quantitative discrete data.

Quantitative data are numerical measurements or counts that can be added, subtracted, averaged, or otherwise subjected to arithmetic operations. Discrete data, on the other hand, can only take on specific, whole number values, as opposed to continuous data which can take on any value within a range.

Qualitative data, on the other hand, are non-numerical data that cannot be measured or counted numerically. Examples include colors, names, opinions, and preferences. Since the numbers of the jerseys are specific numerical values, they are considered quantitative data.

Since they can only take on specific, whole number values (i.e. the jersey numbers are not continuous values like weights or heights), they are considered discrete data. Therefore, the correct option for the given question is option "quantitative discrete".

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Answer:

A. Madrid has a higher monthly average and its monthly temps vary more.

Step-by-step explanation:

I got this right on the quiz.

If your answer turns out to be wrong it can be due to the answers being mixed and/or i didnt read the chart you gave correctly

my apologies if i get it wrong.

Answer:

A.

Step-by-step explanation:

Answer: 2

Step-by-step explanation: Take on finger and add another and count how many fingers you got now.

The correct option  a) 4 ft. , Service Cable that is attached to a building must be sustained at intervals no greater than 4 ft..

Service cables mounted in close proximity to a building must be supported at no more than four-foot intervals.

Thus,  service cable that is attached to a building must be sustained at intervals no greater than 4 ft.

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Answer:

P (4 and F) = 1 in 21 or 4.76%

P(EVEN NUMBER AND VOWEL) = 3 in 14 or 21.43%

Step-by-step explanation:

The probability of rolling a four on a die is 1 in 6.

The probability of picking the letter F in the word GIRAFFE is 2 in 7.

Therefore:

\(P (4\ and\ F)=P(4)*P(F)\\ P (4\ and\ F)=\frac{1}{6}*\frac{2}{7}\\ P (4\ and\ F)=\frac{1}{21}= 4.76\%\)

The probability of rolling an even number (2, 4 or 6) on a die is 3 in 6.

The probability of picking a vowel (A, E, I) in the word GIRAFFE is 3 in 7.

Therefore:

\(P (Even\ and\ Vowel)=P(Even)*P(Vowel)\\ P (Even\ and\ Vowel)=\frac{3}{6}*\frac{3}{7}\\ P (Even\ and\ Vowel)=\frac{3}{14}= 21.43\%\)

Option C is correct

The given logarithmic equation is:

f(x) = log(x + 1) - 4

For a logarithmic equation of the form:

f(x) = log(a + b) - c

the y-intercept = -c

Comparing the two equations above:

The y-intercept = -4

Taking note of the point above, the logarithmic function f(x) = log(x + 1) - 4 is plotted below

The ratio of false positives to true positives is 8 over 54.

According to the Question

Results of a strep throat test performed on a sample of 400 ill people are displayed in the table's data. People who have the flu and those who don't are separated into two categories. The patients are then separated into groups based on whether they tested positive or negative for strep throat within each of these categories.

We must first define what a true positive and a false positive are in order to calculate the ratio of false positives to true positives. A patient who tests positive for strep throat but does not actually have the illness is said to have a false positive. The 8% of patients in this instance who tested positive for strep throat but did not have the flu would fall under that category. A patient who tests positive for strep throat and truly has the illness is said to have a true positive. That would be the 54% of patients who tested positive for both the flu and strep throat in this instance.

We divide the percentage of false positives (8%) by the percentage of true positives (54%), which gives us the ratio of false positives to true positives.

As a result, the ratio becomes 8% / 54%, or 8/54.

It's critical to remember that this ratio is dependent on the sample and test performed and may not be the same for different populations or testing methodologies.

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Answer:

a) -4

b) -3

c) -4

d) -3

Answer:

Step-by-step explanation:

We can make an equation for this with our unknown number equal to x.

x - 13 = -2

x - 13 + 13 = -2 + 13

x = 11

11 is your answer

If r = 2 then substitute it for where r is in your given equation

New equation:

\(\dfrac{7(2)}{2}\)

\(\bf{7(2) = 14}\)

\(\dfrac{14}{2} = 7\)

\(\bf{Answer: 7}\) ☑️

Good luck on your assignment and enjoy your day!

\(\frak{LoveYourselfFirst:)}\)

The collection of sample averages, known as the sampling distribution, would have an average that is equal to the average height of the entire population.

When measuring the height of each team and calculating their average, we are essentially taking samples from the population of all teams. The sampling distribution is created by repeating this process multiple times and calculating the average for each sample. According to the central limit theorem, as the sample size increases, the sampling distribution approaches a normal distribution regardless of the shape of the population distribution.

Therefore, the average of the sampling distribution, which represents the average height of all teams, would be equal to the average height of the entire population. The sampling distribution allows us to make inferences about the population based on the collected samples and provides a measure of the variability of the sample averages.

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Step-by-step explanation:

the radius cuts the segment into two equal parts because it is perpendicular to the chord

Answer:

Step-by-step explanation:

As O is the mid point of the circle

Similarly, B also becomes the mid point of the line AC.

So, line OB divides AB and BC equally.

Hence, lines AB = AC, but they are asking to prove congruency of triangles.

So, u have to join OA and OC.

Same way,   line OB divides ∠OBA and ∠OBC.

So it is proved that AB = AC

The function in the values menu would you use to summarize the data is SUM

Because

I would use the SUM function to figure out how much box office revenue each genre earned. In the pivot table, the SUM function would add the total revenue separately for each genre.

This function, as clear from the name, is used to add all the values provided as arguments and to display the result in the cell-containing function. Argument Type All Numbers Return Type Number. Syntax = SUM(number 1 , number2, ).

The SUM function will sum hardcoded values and numbers that result from formulas. If you need to sum a range and ignore existing subtotals, see the SUBTOTAL function.

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To solve [infinity] (x 6)n n = 1 we need to apply the power rule

To solve this question, first rewrite the equation as (6n)n = 1.

Then, use the power rule to solve, which states that (bn)n = bn*n.

Therefore, (6n)n = 61. Finally, simplify the expression to find that infinity (x 6)n n = 1 equals 6.

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Answer:

\(y=\frac{7}{2} - 4\)

Step-by-step explanation:

y = mx + b

Where M is the slope and b is the Y-intercept

Answer:

C equals 64

Step-by-step explanation:

To find the missing value you have to take B divide it by two and then square it. So 16/2 ----> 8 ----->  8 squared =64. Hope this helped

Answer:

X=2, y=5

Step-by-step explanation:

Y=3x-1 equation 1

-4x+2y=2 equation 2

-4x +2(3x-1)=2 substitute value of y (3x-1) in equation 1 into y value of equ e

-4x+6x-2=2 distributative property

2x=4 solve above equation

x=2

solve for y:

y=3x-1

y=3(2)-1

y=6-1

y=5

The system of first order differential equation are,

dx1/dt = -k1*x1 + k2*(x2-x1)
dx2/dt = k1*x1 - (k2+k3)*x2 + k4*(x3-x2)
dx3/dt = k3*x2 - k4*x3

To describe the behavior of x1, x2, and x3 (where xi denotes the ounces of salt in each tank) we can use a system of first order differential equations. Let's denote the rate of change of salt in each tank as dx1/dt, dx2/dt, and dx3/dt respectively.

Then, we can write the system of differential equations as:

dx1/dt = -k1*x1 + k2*(x2-x1)
dx2/dt = k1*x1 - (k2+k3)*x2 + k4*(x3-x2)
dx3/dt = k3*x2 - k4*x3

where k1, k2, k3, and k4 are constants that represent the rates of salt transfer between the tanks.

This system of first order differential equations describes how the ounces of salt in each tank change over time.

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Answer:

£1250.

Step-by-step explanation:

£750 is 100 - 40 = 60% of the original price.

60%  is equivalent to £750

1%    .............................   750 / 60

100%.............................  (750/60) * 100 = £1250.

From the question above, we can know the groups of 2 customers that are possible to be chosen to receive a special gift is 1,275 groups.

How to find possibility of combination?

To find possibility of combination like in the question above, we can use  binomial coefficient formula. The binomial coefficient is about two things with two result. The formula of binominal coefficient is  \(\binom{n}k} = \frac{n!}{k! (n - k)!}\)

Anyone of the 51 can be chosen first and any of the remaining 50 can be chosen second. Or in which 2 of the 51 can be chosen ⇒ 51 x 50

But, for any given group of 2, the number of different orders in which they could have been chosen is 2 x 1.

So, the numbers of different combination of 2 chosen from 51 is:

\(\binom{51}2} = \frac{51 x 50}{2 x 1}\)

\(\binom{51}2} = \frac{2,550}{2} = 1,275\)

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Answer:

Step-by-step874747634734634347

Answer:

2/3x + 4 = 7

Step-by-step explanation:

The zeros (x-intercepts) of the Polynomial are x = 0, x = -5/2, and x = -1. These points represent the locations where the graph of the polynomial intersects the x-axis.

To plot the zeros (x-intercepts) of the polynomial function p(x) = x(2x + 5)(x + 1) and find the corresponding points on the graph, we need to solve for the values of x that make the function equal to zero. These values are the x-intercepts, where the graph intersects the x-axis.

Setting p(x) = 0, we have:

x(2x + 5)(x + 1) = 0

To find the zeros, we set each factor equal to zero and solve for x:

x = 0   (from the factor x = 0)

2x + 5 = 0  (from the factor 2x + 5 = 0)

2x = -5

x = -5/2   (x-intercept at (-5/2, 0))

x + 1 = 0  (from the factor x + 1 = 0)

x = -1   (x-intercept at (-1, 0))

Therefore, the zeros (x-intercepts) of the polynomial are x = 0, x = -5/2, and x = -1. These points represent the locations where the graph of the polynomial intersects the x-axis.

To plot these points on a graph, you would mark the points (0, 0), (-5/2, 0), and (-1, 0) on the x-axis. The graph will pass through these points, indicating the x-intercepts of the polynomial function.

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The area of the shaded portion of the given shape is: 114 yd²

The formula for the area of a rectangle is expressed as:

A = L * W

Where:

L is Length

W is Width

Now, to find the area of the shaded part, we will find the area of the bigger rectangle and subtract the area of the unshaded rectangle from it.

Thus:

Area of shaded part = (20 * 12) - (14 * 9)

Area of shaded part = 240 - 126

Area of shaded part = 114 yd²

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Answer:

The answer is true.

The volume of one penny is 0.36 mL if the volume of 50 pennies is 18.0 mL.

To find the volume of one penny if the volume of 50 pennies is 18.0 mL, we use the concept of proportionality as follows:

We can find the volume of one penny by dividing the volume of 50 pennies by 50 since we know that 50 pennies occupy a volume of 18.0 mL.

Therefore, the volume of one penny can be calculated as:Volume of one penny = Volume of 50 pennies / 50= 18.0 mL / 50= 0.36 mL

Hence, the volume of one penny is 0.36 mL if the volume of 50 pennies is 18.0 mL.

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The value of the standard normal random variable z call it. z 0z0​,such that the following probabilities are satisfied:

The standard normal distribution is a special type of normal distribution where the mean is 0, and the standard deviation is 1.

a) P(: 0.0973)

Lookup the Z-value corresponding to the region 0.0973 to the left of the normal curve in the Z-table or use the excel formula " =NORM.S.INV(0.0975) " to get the probability.

\(\mathbf{\therefore z_o={\color} \mathbf{-1.30}}}\)

(b) P( Z 0.95)

Lookup the Z-value corresponding to the region 0.0973 to the left of the normal curve in the Z-table or use the excel formula " =NORM.S.INV(0.0975) " to get the probability.

P(Z1.96) = 0.95

\(\mathbf{\therefore z_o={\color{} 1.96}}\)

\({\color{} \mathbf{(c)}}\;P(-z_o\leq Z\leq z_o)=0.90\)

Lookup the Z-value corresponding to the region 0.0973 to the left of the normal curve in the Z-table or use the excel formula " =NORM.S.INV(0.0975) " to get the probability.

\(\Rightarrow P(Z\leq 1.64)=0.95\)

\(\mathbf{\therefore z_o={\color{} 1.64}}\)

\({\color{} \mathbf{(d)}}\;P(-z_o\leq Z\leq z_o)=0.8214\)

Lookup the Z-value corresponding to the region 0.0973 to the left of the normal curve in the Z-table or use the excel formula " =NORM.S.INV(0.0975) " to get the probability.

\(\Rightarrow P(Z\leq 1.35)=0.9107\)

\(\mathbf{\therefore z_o={\color{} 1.35}}\)

(e) \(\Rightarrow P(Z\leq z_o)=0.7579\)

Lookup the Z-value corresponding to the region 0.0973 to the left of the normal curve in the Z-table or use the excel formula " =NORM.S.INV(0.0975) " to get the probability.

\(\mathbf{\therefore z_o={\color{} 0.70}}\)

(f) P(Z =0.9588)

Lookup the Z-value corresponding to the region 0.0973 to the left of the normal curve in the Z-table or use the excel formula " =NORM.S.INV(0.0975) " to get the probability.

Zo = 1.74

\({\color{} \mathbf{g)}}\;P(z > z_o)=0.5\)

Lookup the Z-value corresponding to the region 0.0973 to the left of the normal curve in the Z-table or use the excel formula " =NORM.S.INV(0.0975) " to get the probability.

\(\mathbf{\therefore z_o={\color{} \mathbf{0.00}}}\)

\({\color{} \mathbf{h)}}\;P(z\leq z_o)=0.0031\)

Lookup the Z-value corresponding to the region 0.0973 to the left of the normal curve in the Z-table or use the excel formula " =NORM.S.INV(0.0975) " to get the probability.

\(\mathbf{\therefore z_o={\color{} \mathbf{-2.74}}}\)

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