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3 years ago

10

A fair coin is tossed three times. what is the probability that all three tosses land on heads given he first toss lands on head

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1 answer:

Maslowich3 years ago

7 0

The probability that all three tosses are still 50/50

You might be interested in

The number of states that joined the United States between 1776 and 1849 is twice the number of states that joined between 1850

AlexFokin [52]

Answer: b. 2x = 30

Step-by-step explanation:

Given : <u>30 states</u> joined the United States between 1776 and 1849

and <u>x states</u> joined between 1850 and 1900 .

If the number of states that joined the United States between 1776 and 1849 is twice the number of states that joined between 1850 and 1900.

i.e. No. of states joined the United States between 1776 and 1849= 2 (No. of states that joined between 1850 and 1900)

i.e . 30= 2(x) [Substitute the values]

i.e . 2x=30

Hence, the true equation : 2x=30

8 0

4 years ago

Andre tried to solve the equation 1/4(x+12)=2 what was his mistake?

timofeeve [1]

He didn’t multiply by 4 first

7 0

3 years ago

Read 2 more answers

it says it all in the picture I need help, please, and also show reasoning and how you got the answer

Alenkasestr [34]

Answer:

y = -2 when x = 0

Step-by-step explanation:

We are given points on the line such as ( 2, 2) and (6, 10) so we can find the equation of the line then find point (x=0, y=?).

General equation of the line is y = mx +b, where m is the slope and

b is y-intercept (where the line crosses the y-axis)

The slope m = (y2-y1)/ (x2-x1) = (10-2)/(6-2) = 8/4 = 2

Now the equation is y = 2x +b

To find b we substitute any of the points that are on the line, for example

(x=2, y=2) in the equation 2=2*2+b; 2-4 =b; -2 = b

The equation is y=2x -2

If x= 0 then y=2*0 -2; y = -2

4 0

3 years ago

Marianna [84]

The expression into a single logarithm is $log[(x)^{10}][(2)^{30}]$

Step-by-step explanation:

Let us revise some logarithmic rules

$log(a)^{n}=nlog(a)$
$log(ab)=log(a)+log(b)$
$nlog(a)+mlog(b)=log[(a)^{n}][(b)^{m}]$

∵ 10 log(x) + 5 log(64)

- At first re-write 10 log(x)

∴ 10 log(x) = $log(x)^{10}$

- Then re-write 5 log(64)

∴ 5 log(64) = $log(64)^{5}$

∴ 10 log(x) + 5 log(64) = $log(x)^{10}$ + $log(64)^{5}$

- Use the 3rd rule above to make it single logarithm

∵ $log(x)^{10}$ + $log(64)^{5}$ = $log[(x)^{10}][(64)^{5}]$

∴ 10 log(x) + 5 log(64) = $log[(x)^{10}][(64)^{5}]$

∵ 64 = 2 × 2 × 2 × 2 × 2 × 2

∴ We can write 64 as $2^{6}$

∴ $(64)^{5}=(2^{6})^{5}$

- Multiply the two powers of 2

∴ $(64)^{5}=(2)^{30}$

∴ 10 log(x) + 5 log(64) = $log[(x)^{10}][(2)^{30}]$

The expression into a single logarithm is $log[(x)^{10}][(2)^{30}]$

Learn more:

You can learn more about the logarithmic functions in brainly.com/question/11921476

#LearnwithBrainly

6 0

3 years ago

A vendor sells hot dogs and bags of potato chips. A customer buys 4 hot dogs and 5 bags of potato chips for $15.50. Another cust

Anna007 [38]

Let <em>h</em> represent the cost of hot dogs and <em>p</em> represent the cost of potato chips.

Customer 1: 4h + 5p = 15.50 ⇒ 3(4h + 5p = 15.50) ⇒ 12h + 15p = 46.50

Customer 2: 3h + 2p = 9.00 ⇒ -4(3h + 2p = 9.00) ⇒ <u> -12h - 8p = -36.00</u>

7p = 10.50

p = 1.50

Customer 2: 3h + 2p = 9.00 → 3h + 2(1.50) = 9.00 → 3h + 3.00 = 9.00 → 3h = 6.00 → h = 2.00

Answer: hot dog = $1.50, potato chips = $2.00

3 0

3 years ago