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3 years ago

What is the function rule for the line?

Mathematics

2 answers:

nignag [31]3 years ago

6 0

(-3,0) and (0,-2)
slope = (-2 - 0)/(0 + 3) = -2/3
b = -2
so equation
y = -2/3(x) - 2

answer
<span>B. f(x) = -2/3(x) - 2</span>

11111nata11111 [884]3 years ago

3 0

Let's find the slope-intercept equation of this line. You can read off the y-intercept immediately; it's the place where x= 0 and the line crosses the y-axis. Here that intercept is b=-2.

The coordinates of that point are (0,-2).

Now let's find the slope of the line. Starting at (0,-2) move to the left 3 units (because -3 is the x-coordinate of the intersection of the line with the x-axis). From (0,-2), how far UP along the y-axis to the x-axis is it?

slope = rise / run. In this case, starting from (0,-2), and moving 3 units to the left, we get "run" = -3. Starting from (0,-2) and moving straight up to the x-axis, we get "rise" = 2.

The slope is then m = rise / run = 2/-3, or m = -2/3.

Thus, the equation of this line is y = mx + b, or y = (-2/3)x - 2.

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A recent poll found that 35% of those surveyed are worried about aggressive drivers on the road. If three people are selected at

Ugo [173]

The probability that all three people surveyed is an independent probability and the calculated probability is 0.1225

The probability a surveyed driver is worried = 35%

P(worried) = 0.35

Number of people surveyed = 3

Since the probability of being worried is independent ;

Probability = P(A) × P(B) × P(C)

The probability that all 3 surveyed are worried :

P(worried) × P(worried) × P(worried)
(0.35 × 0.35 × 0.35) = 0.1225

Therefore, the probability that all three people surveyed are worried is : 0.1225

Learn more : brainly.com/question/18153040

5 0

2 years ago

Consider a game in which players roll a number cube to determine the number of points earned. If a player rolls a prime number,

Aleksandr-060686 [28]

Answer:

The expected value of the points earned on a single roll in this game is $\dfrac{1}{6} = 0.1667$ .

Step-by-step explanation:

We are given that consider a game in which players roll a number cube to determine the number of points earned. If a player rolls a prime number, that many points will be added to the player’s total. Any other roll will be deducted from the player’s total.

Assuming that the numbered cube is a dice with numbers (1, 2, 3, 4, 5, and 6).

Here, the prime numbers are = 1, 2, 3 and 5

Numbers which are not prime = 4 and 6

This means that if the dice got the number 1, 2, 3 or 5, then that many points will be added to the player’s total and if the dice got the number 4 or 6, then that many points will get deducted from the player’s total.

Here, we have to make a probability distribution to find the expected value of the points earned on a single roll in this game.

Note that the probability of getting any of the specific number on the dice is $\dfrac{1}{6}$ .

Numbers on the dice (X) P(X)

+1 $\frac{1}{6}$

+2 $\frac{1}{6}$

+3 $\frac{1}{6}$

-4 $\frac{1}{6}$

+5 $\frac{1}{6}$

-6 $\frac{1}{6}$

Here (+) sign represent the addition in the player's total and (-) sign represents the deduction in the player's total.

Now, the expected value of X, E(X) = $\sum X \times P(X)$

= $(+1) \times \frac{1}{6} +(+2) \times \frac{1}{6} +(+3) \times \frac{1}{6} +(-4) \times \frac{1}{6} +(+5) \times \frac{1}{6} +(-6) \times \frac{1}{6}$

= $\frac{1}{6} + \frac{2}{6} + \frac{3}{6} - \frac{4}{6} + \frac{5}{6} - \frac{6}{6}$

= $\frac{1+2+3-4+5-6}{6}$

= $\frac{11-10}{6}= \frac{1}{6}$

Hence, the expected value of the points earned on a single roll in this game is $\frac{1}{6} = 0.1667$ .

4 0

3 years ago

5. Artie uses 1 1/3 yards of rope to make the bottom of his hammock stronger He uses 10 inches of rope to strengthen some areas

LenKa [72]

The correct answer is C 11/8 and 48 inches

7 0

3 years ago

What’s the answer I need The answer ASAP

ser-zykov [4K]

Answer:

The only one that applies is g = 6 because 102 divided by 6 is 17 which is less that 33 and all the other answers are greater that 33.

Hope this helps!

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

The 8th grade is selling tickets to the 8th grade formal.The cost per ticket is $15.The decorations and food cost $600,and each

MArishka [77]

Answer:

Step-by-step explanation:

Each ticket is $15. The number of tickets is what we are trying to solve for. The class spends a certain amount of money to prepare for the formal. They hope that the money they make in ticket sales is MORE than what they spend. The expression that represents the number of tickets at $15 each is 15x, where x is the number of tickets. They hope that the sales are greater than what they spend, so what we have so far is

15x >

Greater than what, though? What do they spend? They spend 600 for the food, so

15x > 600...

but they also have to print a certain, unknown number of tickets at .50 each. The expression that represents the printing of each ticket is .5x (we can drop the 0; it doesn't change the answer or make it wrong if we drop it off). So the cost for this affair is the food + the printing.

15x > 600 + .5x

Solve this inequality for x. Begin by subtracting .5 from both sides to get

14.5x > 600 so

x > 41.3

Because we are not selling (or printing) .3 of a ticket, it's safe to say (and also correct!) that they need to sell (and print) 41 tickets. If they sell 41 tickets, the profit is found by

15(41) > 600 + .5(41)

615 > 600

This means that at 41 tickets, they make a profit. At 40 tickets, the inequality looks like this:

15(40) > 600 + .5(40) and

600 > 620. This is not true, so 40 tickets isn't enough.

8 0

3 years ago