The equation of the line of best fit of a scatter plot is y = 6x − 9. What is the slope of the equation? –6 –9 9 6

Answers

Answer 1

Answer:

Answer:

D. 6

Step-by-step explanation:

The line of best fit represents the relation between two variables, usually indicated as x and y, where "x" is the independent variable and "y" is the dependent variable.

The general form of equation of the line of fit y = mx + b, where "m" represents the slope and b represents the y-intercept.

The given line of best fit of a scatter plot is y = 6x - 9

Now compare the given equation with the general and find the slope.

When we comparing, we get m = 6 which is the slope of the given equation.

Therefore, answer is D. 6

Answer 2

Answer: 6 is the answer because it is 6x therefore the gradient increases by 6 each time

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cards are dealt one by one from a well shuffled pack of 52 cards. find the probability that exactly n cards are dealt before the first ace appears. if the cards are drawn further, then find the probability that exactly k cards are dealt in all before the second ace.

Answers

To find the probability that exactly n cards are dealt before the first ace appears, we can use the concept of a geometric distribution. In a geometric distribution, we're interested in the number of trials (in this case, card draws) required for a success to occur (in this case, drawing an ace) for the first time.

The probability of drawing an ace in a single draw from a well-shuffled pack of 52 cards is 4/52 because there are 4 aces out of 52 cards.

So, the probability of drawing a non-ace in a single draw is (52 - 4)/52 = 48/52.

Now, let X be the random variable representing the number of cards drawn before the first ace appears. X follows a geometric distribution with parameter p, where p is the probability of success on a single trial.

P(X = n) = (1 - p)^(n - 1) * p

In this case, p is the probability of drawing an ace on a single trial, which is 4/52, and n is the number of cards drawn before the first ace.

So, the probability that exactly n cards are dealt before the first ace appears is:

P(X = n) = (1 - 4/52)^(n - 1) * (4/52)

Now, to find the probability that exactly k cards are dealt in all before the second ace appears, we need to consider two scenarios:

1. The first ace appears on the nth card, and the second ace appears on the kth card after that. This is represented by P(X = n) * P(X = k).

2. The first ace appears on the kth card, and the second ace appears on the nth card after that. This is represented by P(X = k) * P(X = n).

So, the total probability that exactly k cards are dealt before the second ace appears is:

P(X = n) * P(X = k) + P(X = k) * P(X = n)

You can calculate this probability using the formula for the geometric distribution with p = 4/52 as mentioned earlier for both P(X = n) and P(X = k).

CARPET COST $12 PER SQUARE YARD. HOW MUCH WILL IT COST TO CARPET A ROOM THAT IS 180 SQUARE FEET?

Answers

12 x 180 = 2160 ezzzzzz

180 divided by 3 = 60

60•12=720

A recursive rule for a geometric sequence is a1=3;an=1/2(an−1) What is an explicit rule for this sequence?

Answers

Answer:The explicit rule for this sequence:

$a_n=a_1(r)^(n-1)=3((1)/(2))^(n-1)$

Step-by-step explanation:

$a_1=3$

$a_n=(1)/(2)a_(n-1)$

Where $a_n$ = n'th term in a sequence

$a_2=(1)/(2)a_((2-1))=(1)/(2)a_1=(1)/(2)* 3=(3)/(2)$

The value 'r' is geometric mean is given as:

r = common ratio

$r=(a_2)/(a_1)=((3)/(2))/(3)=(1)/(2)$

The explicit rule for this sequence:

$a_n=a_1(r)^(n-1)=3((1)/(2))^(n-1)$

A recursive rule for a geometric sequence is a1=3;an=1/2(an−1)
explicit rule
an = (3)(1/2 )^n−1

The museum charges $12.50 for youth admission and $17.50 for adults. One day the museum collected $1535 from a total of 110 youths and adults. How many admissions of each type were sold?

Answers

x - young
y - adult

$12.50x+17.50y=1535\n x+y=110\n\n 12.50x+17.50y=1535\n x=110-y\n\n 12.50(110-y)+17.50y=1535\n 1375-12.50y+17.50y=1535\n 5y=160\n y=32\n\n x=110-32\n x=78$

what 2 numbers should be placed in the blanks below so that the difference between consecutive numbers is the same? 17,_,_,41

Answers

The answer is 25, 33. The difference between each consecutive number is 8.

Determine the type and number of solutions of 4x^2-3x+1=0A. Two real solutions
B. One real solution
C. Two imaginary solutions

Answers

I came up with no real solutions. You can use the website Mathpapa.com to help you.

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Help to answer 2 & 3 Pablo and Jasmine had just started studying systems of linear equations in algebra. They looked at Pedro's drawing and said, "We could write that as a system of equations." Let t be the price of each taco and d be the price of each drink. - Write an equation that represents the cost of Pablo's order. (6T + 2D = 9) - Write an equation that represents the cost of Jasmine's order. (4T + 2D = 7) 2. What operations with the equations from part (1) match your way of using Pedro's sketch to find the prices t and d? 3. Why do the operations make sense?

Solve tan x + 1 = 0 for x.

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