Two coins are tossed simultaneously. Find the probability of getting

1 answer:

4 0

(i) Probability of getting two heads = 0.5*0.5 = 0.25
(Here we multiply the probability of getting a head by the probability of getting a head)

(ii) Probability of getting at least one head = 0.5*0.5 + 0.5*0.5 + 0.5*0.5 = 0.75
(Here we add the probability of getting a head and a head to the probability of getting a head and then a tail and then add the probability of getting a tail and then a head)
The second way to do this is to subtract the probability of not getting any heads (ie. getting a tail and a tail) from 1:
1 - 0.5*0.5
= 1 - 0.25
= 0.75

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Please Help Quicly The equation 8x - 4y = 5 is dilated by a scale factor of 8 centered at the origin. What is the new slope and

Rzqust [24]

For new line, slope m=2 and y-intercept c=(-10)

Step-by-step explanation:

Note : Figure given is for reference to understand better.

Where redline is for given line and blueline for new line

The equation of given line 8x-4y=5 and it is dilated by a scale factor of 8 centered at the origin.

Step 1 : Find two points on given line.

When x=0, y=?

$8x-4y=5$

$8(0)-4y=5$

$y=\frac{-5}{4}$

When y=0, x=?

$8x-4y=5$

$8x-4(0)=5$

$x=\frac{5}{8}$

We get points $A(0,\frac{-5}{4}), B(\frac{5}{8},0)$

Step 2: Find distance from centered and scale it.

Now, It is said that line 8x-4y=5 dilated by a scale factor of 8 centered at the origin and point A and point B is on same.

So that point A and point B will also get dilated by a scale factor of 8 centered at the origin or distance of points from origin will be scaled by 8.

For point A:

Distance of point $A(0,\frac{-5}{4})$ from origin is $( \frac{-5}{4})$ unit in x-direction and zero $\frac{-5}{4})$ unit in y-direction.