Plzzzz help like just plzzzzz In Alana's math class, there are 12 boys and 13 girls. What is the ratio of boys to girls?

Find the equation of the line passing through the points A (2,1) B (7,9)

Bezzdna [24]

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{9 - 1}{7 - 2} = \frac{8}{5} = 1\frac{3}{5}$
      y - y₁ = m(x - x₁)
       y - 1 = 1³/₅(x - 2) Point - Slope Form
       y - 1 = 1³/₅(x) - 1³/₅(2)
       y - 1 = 1³/₅x - 3¹/₅
       + 1    + 1
              y = 1³/₅x - 2¹/₅ Slope - Intercept Form
   -1³/₅x - y = 1³/₅x - 1³/₅x - 2¹/₅
      -1³/₅x - y = -2¹/₅
   -1(-1³/₅x - y) = -1(-2¹/₅)
-1(-1³/₅x) + 1(y) = 2¹/₅
   1³/₅x - y = 2¹/₅ Standard Form
       1³/₅(0) - y = 2¹/₅
      0 - y = 2¹/₅
      -y = 2¹/₅
      -1    -1
   y = -2¹/₅ Y - Intercept
   (x, y) = (0, -2¹/₅)

7 0

3 years ago

Urgent. There are 12 coloured counters in a bag. The counters are black, white or grey A counter is chosen at random. The probab

Nastasia [14]

Answer:

1/12

Step-by-step explanation:

Needed information

$\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}$

The sum of the probabilities of all outcomes must equal 1

Solution

We are told that the probability that the counter is not black is 3/4.

As the sum of the probabilities of all outcomes must equal 1, we can work out the probability that the counter is black by subtracting 3/4 from 1:

$\sf P(counter\:not\:black)=\dfrac34$

$\implies \sf P(counter\:black)=1-\dfrac34=\dfrac14$

We are told that the probability that the counter is not white is 2/3.

As the sum of the probabilities of all outcomes must equal 1, we can work out the probability that the counter is white by subtracting 2/3 from 1:

$\sf P(counter\:not\:white)=\dfrac23$

$\implies \sf P(counter\:white)=1-\dfrac23=\dfrac13$

We are told that there are black, white and grey counters in the bag. We also know that the sum of the probabilities of all outcomes must equal 1. Therefore, we can work out the probability the counter is grey by subtracting the probability the counter is black and the probability the counter is white from 1:

$\begin{aligned}\sf P(counter\:grey) & = \sf1-P(counter\:black)-P(counter\:white)\\\\ & =\sf 1-\dfrac14-\dfrac13\\\\ & = \sf \dfrac{12}{12}-\dfrac{3}{12}-\dfrac{4}{12}\\\\ & = \sf \dfrac{12-3-4}{12}\\\\ & = \sf \dfrac{5}{12}\end{aligned}$

7 0

2 years ago

Gio is studying the rectangular pyramid below. A rectangular pyramid. The rectangular base has a length of 9.6 millimeters and w

ruslelena [56]

Answer

D

Explanation:

I got it right on the test

6 0

3 years ago

Read 2 more answers

What is the common difference for the sequence shown below?

Nezavi [6.7K]

we can always find the slope of any line by simply using two points on the line, say let's use (3,4) and (-1,2)

$\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{2}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{2-4}{-1-3}\implies \cfrac{-2}{-4}\implies \stackrel{\stackrel{\textit{common difference}}{\downarrow }}{\cfrac{1}{2}}$

5 0

3 years ago

Please help it's for a test!

Tanya [424]

Answer:

0.2322 or 23.22 %

Step-by-step explanation:

We have to solve and find the area out of these limits

μ + 0,3 = 210 + 0,3 ⇒ 210,3 and

μ - 0,3 = 210 - 0,3 ⇒ 209.7

z(l) = ( x - 210 ) / (2.8/√84) ⇒ z(l) = - (0.3 * 9,17)/ 2.8

z (l) = - 1.195

We need to interpole from z table

1.19 ⇒ 0.1170

1.20 ⇒ 0.1151

Δ ⇒ 0.01 ⇒ 0.0019

And between our point 1,195 and 1,19 the difference is 0.005

then 0.01 ⇒ 0.0019

0.005 ⇒ ?? (x)

we find x = 0.00095

to get the area for poin z (l) - 1.195 up to final left tail is from z table

0,1170 - 0.00095 = 0.1161

And by symmetry to the right is the same

So 0.1161 * 2 = 0.2322

We find the area out of the above indicated limits the area we were looking for. This is the probability of finding shafts over and below the population mean and 0.3 inches

Step-by-step explanation:

5 0

2 years ago