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zlopas [31]
3 years ago
11

Calculate the probability of needing at least 5 tosses of an unbiased coin to land a head.

Mathematics
1 answer:
Gnom [1K]3 years ago
4 0

Answer:

0.03125

Step-by-step explanation:

If we have a fair coin the probability of landing a head is 50%.

We can think the question as what is the probability of landing four tails and then a head. That is we needed at least 5 tries to get a head.

Prob \{ T,T,T,T,H\}

Since this events are independent we can write it as

Prob \{ T\} \times Prob \{ T\} \times Prob \{ T\} \times Prob \{ T\} \times Prob \{ H\} =.5^5= 0.03125

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Need help filling in the blanks
Xelga [282]

Answer:

1. $2,520.00

2. 0.0%

3. 3%

4. $661.5

5. $727.00

6. $1,736.96

8. $3,250.00

10. 2%

Step-by-step explanation:

1.

We solve for the original price by solving first for the reverse value of the %off.

In this case we have 2.0% off. To find the reverse value, we first need to convert it to its decimal form.

r = 2.0% or 0.02

Now we solve for the rate by subtracting r to 1.

r = 1 - 0.02

r = 0.98

Now that we have r we divide the discounted price by r.

Original price = 2,469.60 / 0.98

Original price = $2,520.00

2.

Pretty straight forward as the Original price and the Discounted are the same. So there is no discount.

r = 0.0%

3.

To find the rate we first need to subtract the original price to the discounted price to find the decrease.

$850 - $824.50 = $25.50

Now that we have the decrease we can find the rate by using this formula:

r = \dfrac{Decrease}{Original Price}*100

r = \dfrac{25.50}{850}*100

r = 0.03*100

r = 3%

4.

To find the discounted price we simply multiply the original price to the r and subtract the amount to the original price.

Discounted Price=OriginalPrice-(OriginalPrice*Rate)

Discounted Price=675-(675*0.02)

Discounted Price=675-13.5

Discounted Price=$661.5

5.

Since the %off is 0.0% then the discounted price is equal to the original price.

$727.00

7.

To find the discounted price we simply multiply the original price to the r and subtract the amount to the original price.

Discounted Price=OriginalPrice-(OriginalPrice*Rate)

Discounted Price=1,888-(1,888*0.08)

Discounted Price=1,888-151.04

Discounted Price=$1736.96

8.

We solve for the original price by solving first for the reverse value of the %off.

In this case we have 3.0% off. To find the reverse value, we first need to convert it to its decimal form.

r = 3.0% or 0.03

Now we solve for the rate by subtracting r to 1.

r = 1 - 0.03

r = 0.97

Now that we have r we divide the discounted price by r.

Original price = 3,152.50 / 0.97

Original price = $3,250.00

10.

To find the rate we first need to subtract the original price to the discounted price to find the decrease.

$4,567.00 - $4,475.66 = $91.34

Now that we have the decrease we can find the rate by using this formula:

r = \dfrac{Decrease}{Original Price}*100

r = \dfrac{91.34}{4567}*100

r = 0.02*100

r = 2%

7 0
3 years ago
Do number 36 only, thx!
Dahasolnce [82]
Cant see it can yo take it above

5 0
3 years ago
Solution to the system of equation -6x+y=-3 and 7x-y=3​
djverab [1.8K]

Answer:

X = 0

Y = -3

Step-by-step explanation:

In this situation you would choose elimination.

-6x+y=-3

7x-y=3

---------------

x = 0

plug back in to find y

(-6)(0) + y = -3

0 + y = -3

y = -3

plug in to other equation for double check

7(0) - (-3) = 3

0 + 3 = 3

3 = 3

Hope this helps

3 0
2 years ago
Find the distance between points A(5, 4) and B(2, 0)
Debora [2.8K]

Answer:

The distance between point A and point B is 5 units

3 0
3 years ago
In order to use a ladder safely, the angle that the ladder forms with the ground should not exceed 70 degree. If you have a ladd
solong [7]

Answer:

Maximum safe height can be reached by ladder = 15.03. ft

Step-by-step explanation:

Given,

Let's assume the maximum safe height of wall = h

angle formed between ladder and ground = 70°

length of ladder = 16 ft

From the given data, it can be seen that ladder will form a right angle triangle structure with the wall

So,from the concept of trigonometry,

Sin70^o\ =\ \dfrac{\textrm{maximum safe height of wall}}{\textrm{length of ladder}}

=>Sin70^o\ =\ \dfrac{h}{16\ ft}

=>\ h\ =\ 16\times Sin70^o

=> h = 16 x 0.9396

=> h = 15.03 ft

So, the maximum safe height that can be reached by the ladder will be 15.03 ft.

8 0
2 years ago
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