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3 years ago

What is the slope of the line that goes through the following ordered pairs? (1,14) and (2,14)

Mathematics

1 answer:

o-na [289]3 years ago

6 0

Answer:

The slope is 0

Step-by-step explanation:

Try graphing it for a better way to see it. If it passess through (1,14) and (2,14), the line is going horizontally, so it has no slope. I hope this helps.

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a bag contains eleven counters. five are white. a counter is taken out the bag and is not replaced. a second counter is taken ou

Fed [463]

Answer:

$\displaystyle P(A)=\frac{6}{11}$

Step-by-step explanation:

<u>Probabilities</u>

The question describes an event where two counters are taken out of a bag that originally contains 11 counters, 5 of which are white.

Let's call W to the event of picking a white counter in any of the two extractions, and N when the counter is not white. The sample space of the random experience is

$\Omega=\{WW,WN,NW,NN\}$

We are required to compute the probability that only one of the counters is white. It means that the favorable options are

$A=\{WN,NW\}$

Let's calculate both probabilities separately. At first, there are 11 counters, and 5 of them are white. Thus the probability of picking a white counter is

$\displaystyle \frac{5}{11}$

Once a white counter is out, there are only 4 of them and 10 counters in total. The probability to pick a non-white counter is now

$\displaystyle \frac{6}{10}$

Thus the option WN has the probability

$\displaystyle P(WN)=\frac{5}{11}\cdot \frac{6}{10}=\frac{30}{110}=\frac{3}{11}$

Now for the second option NW. The initial probability to pick a non-white counter is

$\displaystyle \frac{6}{11}$

The probability to pick a white counter is

$\displaystyle \frac{5}{10}$

Thus the option NW has the probability

$\displaystyle P(NW)=\frac{6}{11}\cdot \frac{5}{10}=\frac{30}{110}=\frac{3}{11}$

The total probability of event A is the sum of both

$\displaystyle P(A)=\frac{3}{11}+\frac{3}{11}=\frac{6}{11}$

$\boxed{\displaystyle P(A)=\frac{6}{11}}$

7 0

3 years ago

Here are the equations for 4

Kipish [7]

Answer:

Please see attached graph.

Step-by-step explanation:

The equations for straight lines are given as:

i) y = x +4

ii) y= x-4

Yon can form a table for values of x and y that are true for an equation and use these values as coordinates ( x,y ) to plot the graphs and view the lines to select the correct labels for the equations.

For i)

y= x+4

x y coordinates

-3 1 (-3,1 )

-2 2 (-2,2)

-1 3 (-1,3)

0 4 ( 0,4)

1 5 ( 1,5)

2 6 ( 2,6)

3 7 ( 3,7)

Plot the points on a graph tool and draw the line. Do the same for the second equation to view both graphs as shown in the attached graph.

6 0

3 years ago