Assuming you have four points, no three of which are collinear, how many unique straight lines can be drawn?

Answer:

92

Step-by-step explanation:

148 - 56 = 92

Hope this helped

Answer:

The answer is 92

Step-by-step explanation:

148 - 56 = 92

Answer:

Mode

Step-by-step explanation:

Mean:

Before replacing = 464/8 = 58

After replacing 42 with 98 = 520/8 = 65

Mode:

Before replacing = 42

After replacing 42 with 98 = 98

Median:

25, 42 , 42 , 47, 55 , 59, 96,98

Before replacing =  47+55/2 = 51

25, 42 ,  47, 55 , 59, 96,98 , 98

After replacing 42 with 98 =  55+59/2 = 114/2 = 57

The equation of the line that passes through the points (1, 0) and (3, 6) is y = 3x - 3.

To find the equation of a line passing through two points, we can use the slope-intercept form of a linear equation: y = mx + b, where m is the slope of the line and b is the y-intercept.

Given points:

Point 1: (1, 0)

Point 2: (3, 6)

Step 1: Calculate the slope (m) using the formula:

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

Substituting the coordinates:

m = (6 - 0) / (3 - 1)

m = 6 / 2

m = 3

Step 2: Substitute one of the given points and the slope into the equation y = mx + b to find the y-intercept (b).

Using Point 1 (1, 0):

0 = 3(1) + b

0 = 3 + b

b = -3

Step 3: Write the equation of the line using the slope (m) and the y-intercept (b):

y = 3x - 3

Therefore, the equation of the line that passes through the points (1, 0) and (3, 6) is y = 3x - 3.

This equation represents a line with a slope of 3, indicating that for every increase of 1 unit in the x-coordinate, the y-coordinate increases by 3 units. The y-intercept of -3 means that the line crosses the y-axis at the point (0, -3). By substituting any x-value into the equation, we can determine the corresponding y-value on the line.

Hence, the equation of the line passing through (1, 0) and (3, 6) is y = 3x - 3.

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The probability P(X < 4) is approximately 0.2734 when X has a binomial distribution with n = 7 and p = 0.5.

When X has a binomial distribution with n = 7 and p = 0.5, we can use the cumulative distribution function (CDF) or the formula for the probability mass function (PMF) of the binomial distribution to determine the probability P(X 4) by adding the probabilities for X = 0, 1, 2, and 3.

Binomial CDF usage:

P(X 4) = P(X 3) = binom.cdf (3, n = 7, p = 0.5) 0.2734

Binomial PMF usage:

P(X 4) = P(X = 0), P(X = 1), P(X = 2), and P(X = 3) = binom.pmf(0, n=7, p=0.5), binom.pmf(1, n=7, p=0.5), binom.pmf(2, n=7, p=0.5), and binom.pmf(3, n=7, p=0.5), and binom.pmf(3, n=7, p=0.5) = 0.2734.

Since X has a binomial distribution with n = 7 and p = 0.5, the chance P(X 4) is roughly equal to 0.2734.

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The total weight of Rice that Mark buys is given as follows:

2.5 pounds.

The total weight of Rice that Mark buys is obtained applying the proportions in the context of the problem.

The weight of each bag is given as follows:

5/8 pounds = 0.625 pounds.

The number of bags is given as follows:

4 bags.

Hence the total weight of Rice that Mark buys is given as follows:

4 x 0.625 = 2.5 pounds.

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The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

2x2+5x−3

Step-by-step explanation:

Expand the polynomial using the FOIL method.

Answer:

y= -(1/6)x -2

Step-by-step explanation:

We know:

y= mx +b is the general equation of the line

Was given:

y= 6x +3, has the slope m=6

Find the equation of the line

y= -(1/6)x + b, perpendicular lines have their slope negative reciprocal m=-1/6

Find the y-intercept that is b

for point (x=12, y= -4) the equation of our line becomes

-4 = -(1/6)(12) + b, multiply a fraction and a number  (a/b)*c = ab/c

-4 = -12/6 +b, simplify the fraction

-4 = -2 + b , add 2 to both sides

-4+2 = -2+2 +b , solve for b

-2 = b

The equation of the line that passes through the point (12,-4) and is perpendicular to the line with the equation y=6x +3 is :

y= -(1/6)x -2

A translation of the equation for the surface area of this rectangular prism is given by: SA = 2(WH + LW + LH).

An equation can be defined as a mathematical expression which shows that two (2) or more thing are equal.

Mathematically, the surface area of a rectangular prism can be calculated by using this equation or formula:

SA = 2(WH + LW + LH)

Where:

In this context, we can reasonably and logically deduce that a translation of the equation for the surface area of this rectangular prism is given by:

SA = 2(WH + LW + LH).

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Answer:

h(n+1) = -⅓ h(n), h(0) = 63

Step-by-step explanation:

h(n) = 63 (-⅓)ⁿ

This is a geometric series where the first term is 63 and the common ratio is -⅓.

Therefore, each term is -⅓ of the previous term.

h(n+1) = -⅓ h(n), h(0) = 63.

B

1) Given that Lori bought 256 pieces of candy

256 - 78 = 178 chocolates in total.

Melted Chocolates = 49

2) So let's subtract from the total number of chocolates the number of melted chocolates

178 chocolates - 49 melted chocolates = 129 not melted chocolates

3) So the answer is 129 chocolates

Answer:

9000

Step-by-step explanation:

Answer:

The value of x is 66.

Step-by-step explanation:

The median of a data set is the term that separates the lower half of the set from the upper half.

In a set with even cardinality, the median is given by the mean of it's two middle terms.

In this question:

Cardinality: 8

Middle terms: 4th and 5th, which are x - 5 and x + 1.

The median is 64.

This means that:

\(\frac{x - 5 + x + 1}{2} = 64\)

\(2x - 4 = 128\)

\(2x = 132\)

\(x = \frac{132}{2}\)

\(x = 66\)

The value of x is 66.

Answer: The constant of proportionality is r = 5.

Step-by-step explanation:

O, we know that x and y are proportional, this means that:

y = r*x

where r is the constant of proportionality.

we also have the table

x    y

7    35

12   60

20   100

Now, we can replace those values in our equation and get, for the first pair:

35 = r*7

r = 35/7 = 5

for the second pair:

60 = r*12

60/12 = 5 = r

So we can conclude that the constant of proportionality is 5.

Answer:

5

Step-by-step explanation:

It was right for me on khan

9514 1404 393

Answer:

  -3, -1, 8

Step-by-step explanation:

The quadratic factor can be found by dividing f(x) by (x -8). Synthetic division is good for that. The result in the attachment shows the quadratic factor to be x² +4x +3. That factors as ...

  x² +4x +3 = (x +1)(x +3)

Then the factors of f(x) are (x -8), (x +1), (x +3). The zeros of f(x) are the values of x that make these factors zero:

  x -8 = 0   ⇒   x = 8

  x +1 = 0   ⇒   x = -1

  x +3 = 0   ⇒   x = -3

The zeros of f(x) are x = -3, -1, and 8.

_____

The graph in the second attachment confirms these zeros.

Answer:

25.09

Step-by-step explanation:

Answer: 17.0314

Step-by-step explanation:

Answer:

Treatment for HIV/AIDS involves taking highly effective medicines called antiretroviral therapy (ART) that work to control the virus [1][2]. ART involves taking a combination of HIV medicines (called an HIV regimen) to suppress the virus and stop the progression of the disease [1]. The goal of treatment is to reduce the amount of HIV in the body and keep it at a low, undetectable level to help prevent further damage to the immune system and reduce the risk of transmitting HIV to others.

The answer would be C - "Cheetah B has a higher ratio of miles per minute than Cheetah A because 17 over 8 is less than 56 over 20."

also "get it right please" ?! how rude

Explanation:

A = set of odd numbers = {1,3,5}

B = set of factors of 12 = {1,2,3,4,6}

A U B = union of set A and set B

A U B = {1,3,5} union {1,2,3,4,6}

A U B = {1,3,5,       1,2,3,4,6}

A U B = {1,2,3,4,5,6}

The set union operation combines two sets into one bigger set. Duplicates are tossed out.

There are 6 elements in the set A U B = {1,2,3,4,5,6} out of 6 faces of the number cube.

Therefore, the probability event  A U B happens is 6/6 = 1 = 100%; i.e. it is guaranteed to happen. Each face of the number cube is either odd, a factor of 12, or both.

Side notes:

Answer:

Step-by-step explanation:

Givens

C = 2*pi*r

C = pi*d

C = 125.6

r = d/2

Solution

C = pi *d

125.6 = 3.14 * d           Divide both sides by 3.14

125.6/3.14 = d

d = 40

You can use 1 of 2 methods to get the radius

The easiest one is use

r = d/2

r = 40/2

r = 20

Answer:

7 hours

Step-by-step explanation:

here,

270/18=105/x

x=(105*18)/270

x=7

Chau made $270 for 18 hours of work. At the same rate,  Therefore Chau would have to work 7 hours at the same rate to make $105.

To find out how many hours Chau would have to work to make $105 at the same rate, we can set up a proportion using the given information:

Let x be the number of hours Chau needs to work to make $105.

We know that Chau made $270 for 18 hours of work, so the rate of earnings per hour is:

Rate = Total earnings / Number of hours

Rate = $270 / 18 hours

Rate = $15 per hour

Now, we can set up the proportion:

$15 per hour = $105 / x hours

To find x, we can cross-multiply:

$15 × x = $105

Now, solve for x:

x = $105 / $15

x = 7 hours

So, Chau would have to work 7 hours at the same rate to make $105.

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Answer:

1

Step-by-step explanation:

It has only 1 line of symmetry. The line is a vertical line that passes through the top vertex.

Answer: 1

Answer:

The value of a and b is given. All u hv to do is just place the values in the places of a and b. The value of a= 3.1 and b= 7.3.

5i) a+b

     3.1+7.3

     =10.4

ii) b-a

   7.3-3.1

    =4.2

5 and 6 are both similar. Just place the numbers instead of the letters

6i) x+y

    5+7

    =12

ii) y-x

   7-5

   =2

iii) x/y

    5/7

    =0.714

There u go :D

Answer:

A

Step-by-step explanation:

becoz 2(y=8x+7)

so, 2y= 16x+14

Answer:

30 Degrees for sure

ANSWER :

0.6667

EXPLANATION :

The z score formula is :

z = (x - mean)/(standard deviation)

Using the formula :

z = (110 - 100)/15

z = 0.6667

Answer:

ehfyuehruerfgr

Step-by-step explanation: