Find the equation of a line in slope intercept form that passes through the points (-4,3) and (−6,−1).

Answer:

10 People

Step-by-step explanation:

Answer:

A) 1.2

Step-by-step explanation:

R can never be greater than 1

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Answer:

  x = 90

Step-by-step explanation:

You want to know the value of x in the given diagram showing crossed chords.

The Angle of Intersecting Chords theorem tells you the angle where the chords cross is half the sum of the intercepted arc and the opposite arc.

Here, the angle marked x° is the supplement of the angle we can find based on the given arc measures:

  180° -x° = (30° +(2x -30)°)/2

  180 -x = 2x/2 = x . . . . . . . . . . divide by °, simplify

  180 = 2x . . . . . . . . . . . . add x

  90 = x . . . . . . . . . . . divide by 2

The value of x is 90.

The likelihood of the spinner to land on a consonant rather than a vowel is C. Less likely.

The likelihood of the spinner landing on a consonant rather than a vowel can be found by the formula :

= Number of consonants / Number of outcomes on the spinner

= 4 / 9

= 0. 44

This likelihood is less than 50 % which is what would have made the likelihood equally likely. However, it is not much lower than 50 % so the likelihood would be less likely.

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Answer:

m∠D = 49°
m∠E = 41°
m∠F = 90°

Step-by-step explanation:

        We know a triangle's angles add up to 180, so we can create an equation and solve for x. We also know the little box represents 90 degrees.

Given:

        90° + 5x° + 14° + 3x° + 20° = 180°

Combine like terms:

        8x° + 124° = 180°

Subtract 124 from both sides of the equation:

        8x° = 56°

Divide both sides of the equation by 8:

        x = 7

        Now, we will plug this value of x back into the angles to solve. Again, the little box represents that Angle F is equal to 90 degrees.

m∠D = 5x° + 14° = 5(7)° + 14° = 49°
m∠E = 3x° + 20° = 3(7)° + 20° = 41°
m∠F = 90°

The most likely outcome is it rains in at least one city.

What is the most likely outcome?

The result is that among all potential outcomes has the greatest likelihood of taking place.

A meteorologist predicts a 40% chance of rain in London and an 80% chance of rain in Chicago. The probability is given below

let P(A) probability of having rain in London = P(A) = 0.40

let P(B) of having rain in Chicago = P(B) = 0.80

i)P (rain in at least one city) = 1 - P (rain in no city)

P (rain in no city) = P(A') * P(B') = 0.60*0.20 = 0.12

P (rain in at least one city) = 1 - 0.12 = 0.88

ii)P (rain only in London) = P(A) * P(B') = 0.40*0.20 = 0.08

iii)P(rain only in Chicago) = P(A') * P(B) = 0.6 * 0.8 = 0.48

iv)P(rain in London and Chicago) = P(A) * P(B) = 0.4 * 0.8 = 0.32

Since the probability of rain in at least one city is most i,e 0.88

So, the most likely outcome is it rains in at least one city

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A sample is said to be picked in such a way that any potential subset of the same size has an equal chance of being chosen is known as simple random sample.

What is  simple random sample ?

A simple random sample, also known as an SRS, is a subset of people (also known as a sample) taken from a larger group of people (also known as a population), where the subset is selected at random and with an equal probability. This procedure involves choosing a sample at random. In SRS, the probability of selecting any subset of k individuals as a sample is the same for all subsets of k individuals.

Therefore, A sample is said to be picked in such a way that any potential subset of the same size has an equal chance of being chosen is known as simple random sample.

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The probability that the temperature will be above 24 degrees and that he will buy a coffee is 1/4

Given data ,

Let's denote the event "Greg buys a coffee" as event A, and the event "Temperature is above 24 degrees" as event B.

P(A) = probability of buying a coffee on a random day in a 28-day period = 20/28

P(B) = probability of temperature being above 24 degrees on a random day in a 28-day period = 7/28

P(A ∩ B) = probability of buying a coffee and temperature being above 24 degrees on the same day = 5/28

We can use this information to calculate the conditional probabilities:

P(A|B) - probability of buying a coffee given that the temperature is above 24 degrees:

P(A|B) = P(A ∩ B) / P(B) = (5/28) / (7/28) = 5/7

So, the equation based on the first given probability is:

P(A|B) = 5/7

P(B|A) - probability of temperature being above 24 degrees given that Greg buys a coffee:

P(B|A) = P(A ∩ B) / P(A) = (5/28) / (20/28) = 5/20 = 1/4

So, the equation based on the second given probability is:

P(B|A) = 1/4

Hence , the probability is solved

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Answer:

It is an imaginary number.

Step-by-step explanation:

In this example, the real number is -2 is being multiplied by the imaginary unit, i, which i can be also expressed as (√-1).

The final answer is 4(2x + h) after simplifying the difference quotient f(x+h)-f(x)/h for the function f(x) = 4x² - 4.

To find the difference quotient f(x+h)-f(x)/h for the function

                                   f(x) = 4x² - 4,

we need to substitute the given values into the formula as shown below:

                     f(x+h)-f(x)/h=f((x + h)) - f(x)/h

Substitute

               f(x + h) = 4(x + h)² - 4

             and f(x) = 4x² - 4.

             f(x+h)-f(x)/h= [4(x + h)² - 4] - [4x² - 4]/h

Note: We must expand (x + h)² to simplify the formula.

           f(x+h)-f(x)/h= [4(x² + 2xh + h²) - 4] - [4x² - 4]/h

Now we can solve it step by step:

            f(x+h)-f(x)/h= [(4x² + 8xh + 4h²) - 4 - 4x² + 4]/h

Combine like terms.  

                         f(x+h)-f(x)/h= (8xh + 4h²)/h

Factor out 4h from the numerator.

                      f(x+h)-f(x)/h= (4h(2x + h))/h

Cancel the h in the numerator and denominator.

                           f(x+h)-f(x)/h= 4(2x + h)

The final answer is 4(2x + h) after simplifying the difference quotient f(x+h)-f(x)/h for the function f(x) = 4x² - 4.

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The smallest value within the class is the lower class limit, and the largest value within the class is the upper class limit.

A class limit is a set of boundary values in the form of a range that describes the lowest and highest data values that a class can contain. The lower class limit refers to the smallest data value in a class, whereas the upper class limit refers to the largest data value in a class. The width of a class is determined by the difference between the upper and lower class limits. Here are a few examples to give you a better understanding of how this works:

Class:              5-9 5 9

Lower Limit:    10-14 10 14

Upper Limit:    15-19 15 19

This shows class limits for three different classes.

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Answer:

D)

Step-by-step explanation:

All sides are congruent because all sides are the same.

Hope this helps!

-kiniwih426

Answer:

x=4

y=36

Step-by-step explanation:

hope this helps :)

Answer:

The formula for the circumference of a circle is C = 2πr or C= πd where r represents length of r and d represent length of diameter. The length of a diameter is 2r which is why C= πd. Using this formula, we know that r= 4cm. Thus, C= 2(4)π = 8π ≈ 25.13 centimeters.

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

The correct answer is  B. 6 hours and 40 minutes

Explanation:

The average of a group of values refers to the middle or "average" value of these. This mathematical factor can be calculated by adding all the values, in this case you need to dd the time Ryan slept each night, and then divide the total into the 5 nights.  Below, you can find the process.

1. First add all the hours

6 + 5 + 7 +  6 + 7= 31 hours

2. Add the minutes

20 + 50 +  5 + 47 +18 = 140 minutes

3. Divide the result of the minutes into 60 to convert part of these minutes to hours.

140 / 60 = 2.3333 - There are 2 hours in the total of minutes and 20 minutes (0.3333 x 60 minutes = 20 minutes)

4. Total of hours = 31 + 2 = 33 hours

   Total of minutes = 20 minutes

5. Divide the total into 5 days

33 hours 20 minutes = 5 days

33 / 5 = 6.6 hours that represent 6 hours and 36 minutes (0.6 x 60 = 36 minutes)

20 minutes / 5 days = 4 minutes

Total: 6 hours and 40 minutes (36 minutes + 4 minutes)

When figures are translated, rotated or reflected, the resulting figures are congruent to the original figure because the transformations are rigid. However, when a figure is dilated, the resulting figure is not congruent to the original figure.

ABCD and A'B'C'D are congruent because A'B'C'D is the result of rotating ABCD 180 degrees about the origin.

I've included the missing graph as an attachment.

Using points A and A' as our references.

We have:

\(A = (-1,1)\)

\(A' = (1,-1)\)

The rule of rotation 180 degrees about the origin is:

\((x,y) \to (-x,-y)\)

So, we have:

\((-1,1) \to (-(-1),-1)\)

\((-1,1) \to (1,-1)\)

The above rule is applicable to other points in ABCD and A'B'C'D'

Since the rule of transformation is rotation (a rigid transformation), then ABCD and A'B'C'D are congruent.

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Answer: Choice A) y = cx

The 'c' is the constant of variation

For example, if c = 2, then y = 2x is a direct variation. Whatever x is, we double it to get y. As x increases, so does y. As x decreases, then so does y. Both x and y increase/decrease together.

Direct variation equations always go through the origin, and they are always linear. The 'c' plays the role of the slope. You can think of y = cx as y = mx+b where b = 0 in this case and c = m.

The distribution does not represent a probability distribution. The correct option is b.

A probability distribution should satisfy two main conditions: (1) the sum of the probabilities for all possible outcomes should be equal to 1, and (2) the probabilities for each outcome should be between 0 and 1 (inclusive).

In this distribution, the probabilities for the outcomes are 0.3, 0.4, 0.3, and 0.1 for the values of X as 3, 6, 9, and 0, respectively. However, the sum of these probabilities is 1.1, which violates the first condition of a probability distribution.

Therefore, this distribution does not meet the requirements of a probability distribution and is not a valid probability distribution. The correct answer is option b.

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The "hypothesis of no change," "status quo," and "conventional wisdom" are all alternative names for the null hypothesis. Unless there is overwhelming evidence to the contrary, the null hypothesis is assumed to be correct.

H0: u = 1: u ≠ 1,400

When testing hypotheses with the P value, the null hypothesis is rejected if?

The evidence against the null hypothesis is stronger when the p-value is smaller (closer to 0).If the p-esteem is not exactly or equivalent to the predetermined importance level α, the invalid speculation is dismissed;The null hypothesis is not rejected otherwise.

A statement of expectation or prediction that will be tested by research is called a research hypothesis. Read up on the subject that interests you before coming up with your research hypothesis.

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(x, y) is an element of the set c × d, since x is an element of c and y is an element of d.

Since (x, y) was an arbitrary element in a × b, we can conclude that every element in a × b is also in c × d. Thus, we have shown that if a ⊆ c and b ⊆ d, then a × b ⊆ c × d.

To show that if a ⊆ c and b ⊆ d, then a × b ⊆ c × d, follow these steps:

Step 1: Understand the notation.
a ⊆ c means that every element in set a is also in set c.
b ⊆ d means that every element in set b is also in set d.

Step 2: Consider the Cartesian products.
a × b is the set of all ordered pairs (x, y) where x ∈ a and y ∈ b.
c × d is the set of all ordered pairs (x, y) where x ∈ c and y ∈ d.

Step 3: Show that a × b ⊆ c × d.
To prove this, we need to show that any ordered pair (x, y) in a × b is also in c × d.

Let (x, y) be an arbitrary ordered pair in a × b. This means that x ∈ a and y ∈ b.

Since a ⊆ c, we know that x ∈ c because every element in set a is also in set c.
Similarly, since b ⊆ d, we know that y ∈ d because every element in set b is also in set d.

Now, we have x ∈ c and y ∈ d, so the ordered pair (x, y) belongs to c × d.

Step 4: Conclusion
Since any arbitrary ordered pair (x, y) in a × b also belongs to c × d, we can conclude that a × b ⊆ c × d.

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Selecting all students with last names beginning with the letter M would not produce a random sample of a school population of 1000 students. Hence the answer is no.

A random sample is obtained by selecting individuals from a population in a way that ensures every member of the population has an equal chance of being included in the sample.

By choosing only students with last names beginning with the letter M, you are introducing a bias and not providing an equal chance for all students to be selected.

To obtain a random sample of 1000 students from a school population, you would need to use a random selection method that ensures each student has an equal probability of being chosen.

This could be achieved through techniques such as random number generators, random sampling software, or random sampling techniques like stratified or cluster sampling.

Selecting all students with last names beginning with the letter M would not meet the requirements of a random sample, as it would not provide an equal chance for all students in the population to be included.

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Step-by-step explanation:

Circumference of a circle is 2piR

C=2piR and R=10

C=2(3.14)(10)

So the circumference is 62.8 cm

Answer:

It’s either A or C. However I’m mostly going with C. For C tells us 2 hours and 23 minutes have passed. I hope this helps.

Step-by-step explanation:

Please correct me if I am wrong.

The total number of tasks Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed

The factor 'x' in the expression '90x - 20' represents the total number of tasks that Terrence completed in the game.

To understand why, let's break down the given information. It states that Shelly and Terrence completed a different number of tasks. Shelly earned 90 points on each task, so the total number of tasks she completed is not represented by 'x'.

On the other hand, Terrence's total points were 20 less than Shelly's total. This means that Terrence's total points can be calculated by subtracting 20 from Shelly's total points. Since Shelly earned 90 points on each task, her total points would be 90 multiplied by the number of tasks she completed.

So, the expression '90x - 20' represents Terrence's total points in the game, where 'x' represents the total number of tasks that Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed, we can calculate his total points.

Therefore, the correct answer is: The total number of tasks Terrence completed.

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The radius of the hemisphere is 9.5 inches.

The diameter of the hemisphere is 19 inches.

The surface area of the hemisphere is 850.2 inches²

circumference of a circle = 2πr

where

Therefore,

19π = 2πr

2r = 19

r = 19 / 2

r = 9.5 inches

diameter = 9.5 × 2 = 19 inches

Therefore,

surface area of an hemisphere = 3πr²

surface area of an hemisphere = 3 × 3.14 × 9.5²

surface area of an hemisphere = 850.155 inches²

surface area of an hemisphere = 850.2 inches²

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Answer:

B. y = - (3/7)x + 2

Step-by-step explanation:

Slope Intercept Form is written as y = mx + b where m is the slope and b is the y intercept.

So if - (3/7) is substituted for m and 2 is substituted for b the result is

y = - (3/7)x + 2

The equation of the line in slope-intercept form is y = ( -3/7 )x + 2

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

y intercept = ( 0 , 2 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = -3/7

And , equation of line is y - y₁ = m ( x - x₁ )

On simplifying , we get

y = ( -3/7 )x + 2

Hence , the equation of line is y = ( -3/7 )x + 2

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