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3 years ago

4) What is the slope of the line graphed by the equation y = (-⅓)x - 3?

Mathematics

2 answers:

kykrilka [37]3 years ago

5 0

Y=mx+b
m=slope
y=-1/3x-3

m=-1/3
slope=-1/3

answer is A

snow_lady [41]3 years ago

3 0

SImple,

this line is in the form of y=mx+b..which means that m=slope and b=y-intercept..

Thus, the slope for this line is.... $-\frac{1}{3}$

Thus, your answer, A.

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7 in 10 auto accidents involve a single vehicle. Suppose 14 accidents are randomly selected. (Round your answers to five decimal

Tpy6a [65]

Answer:

Step-by-step explanation:

Assuming a binomial distribution for the number of auto accidents. If 7 in 10 auto accidents involve a single vehicle, the probability, p = 7/10 = 0.7

Then the probability that the accident involved multiple vehicles is

q = 1 - p = 1 - 7/10 = 3/10 = 0.3

Since 14 accidents are randomly selected, n = 14

The formula for binomial distribution is expressed as

P(x = r) = nCr × q^(n - r) × p^r

a) we want to determine P(x = 4) =

P(x = 4) = 14C4 × 0.3^(14 - 4) × 0.7^4

P(x = 4) = 0.00142

b) we want to find P(x lesser than or equal to 4) = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3) + P( x = 4)

P(x = 0) = 14C0 × 0.3^(14 - 0) × 0.7^0 = 0.00000004783

P(x = 1) = 14C1 × 0.3^(14 - 1) × 0.7^1 = 0.00011

P(x = 2) = 14C2 × 0.3^(14 - 2) × 0.7^2 = 0.00002

P(x = 3) = 14C3 × 0.3^(14 - 3) × 0.7^3 = 0.00022

P(x = 4) = 0.00142

P(x lesser than or equal to 4) = 0.00000004783 + 0.00011 + 0.00002 + 0.00022 + 0.00142 = 0.00177

c) p = 0.7, q = 0.3

P(x = 5)= 14C5 × 0.7^(14 - 5) × 0.3^5 = 0.19631

6 0

3 years ago

Two trains arrived at a station at 2:55 P.M., with one arriving on Track A, and the other arriving on Track B. Trains arrive on

My name is Ann [436]

Answer:

B) 5:19 P.M.

Step-by-step explanation:

Given that two trains arrived at a station at 2:55 P.M., with one arriving on Track A, and the other arriving on Track B. Trains arrive on Track A every 16 minutes, and they arrive on Track B every 18 minutes.

Now we need to find about at what time will trains next arrive at the same time on both tracks.

Then next time trains arrive at the same time on both tracks. can be found by taking least common multiple of 16 and 18 minutes.

Multiples of 16 and 18 are

16 32 48 64 80 96 112 128 144 160

18 36 54 72 90 108 126 144 162 180

Least common multiple of both is 144

Hence both trains will arrive at the same time after 144 minutes

or at (2:55 PM+144 minutes)

= (2 hours 55 min)+(144 min) PM

= (2 hours 55 min)+(2 hours 24 min) PM

= 5 hours 19 minutes

Hence correct choice is B) 5:19 P.M.

7 0

3 years ago

$14 for a haircut plus a 15% tip anyone ???

Vlad [161]

Answer:

$16.10

Step-by-step explanation:

Simply take the original cost and multiply it by the percentage to get the tip amount then add it all together.

14 × 15% = 2.1

14 + 2.1 = 16.1

This means the haircut would cost a total of $16.10.

3 0

3 years ago

The coordinates of point A are (-6, -10) and the coordinates of point B are (x,-4). The distance between A to point B is 10 unit

vlabodo [156]

$\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{-6}~,~\stackrel{y_1}{-10})\qquad B(\stackrel{x_2}{x}~,~\stackrel{y_2}{-4})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ 10=\sqrt{[x-(-6)]^2+[-4-(-10)]^2}\implies 10=\sqrt{(x+6)^2+(-4+10)^2} \\\\\\ 10^2=(x+6)^2+(6)^2\implies 100=x^2+12x+36+36 \\\\\\ 100=x^2+12x+72\implies 0=x^2+12x-28 \\\\\\ 0=(x+14)(x-2)\implies x= \begin{cases} -14\\ \boxed{2} \end{cases}$

because B is on the IV Quadrant, the x-coordinate must be positive.

7 0

3 years ago

Which of the following numerical data sets has a mean of 40?

34kurt

Answer:

The answer is B) 21, 34, 65

Step-by-step explanation:

21 + 34 + 65 = 120

120 divided by 3 = 40.

In order to find the mean you must add up all of the numbers in the numerical data set, then divide that by how many numbers there are. Hope this helps! :)

6 0

2 years ago