If x - 3y = -9 and 5x - 2y = 7, what is the value of x?

A coin is tossed 10 times. True or false, and explain: (a) The chance of getting 10 heads in a row is 1/1,024. (b) Given that th

Llana [10]

Answer:

a and b both are true.

Step-by-step explanation:

Given : A coin is tossed 10 times.

To find : True or false, and explain ?

Solution :

(a) The chance of getting 10 heads in a row is $\frac{1}{1024}$

Coin has two face head and tail.

The probability of getting head is $P(H)=\frac{1}{2}$

The probability of getting 10 heads in a row is

$P=(P(H))^{10}$

$P=(\frac{1}{2})^{10}$

$P=\frac{1}{1024}$

The chance of getting 10 heads in a row is $\frac{1}{1024}$ is true.

(b) Given that the first 9 tosses were heads, the chance of getting 10 heads in a row is $\frac{1}{2}$ .

The probability of getting 10 heads in a row is $P_1=(\frac{1}{2})^{10}$

The probability of getting 9 tosses were heads is $P_2=(\frac{1}{2})^{9}$

Given that the first 9 tosses were heads, the chance of getting 10 heads in a row is given by,

$P=\frac{P_1}{P_2}$

$P=\frac{(\frac{1}{2})^{10}}{(\frac{1}{2})^{9}}$

$P=(\frac{1}{2})^{10-9}$

$P=\frac{1}{2}$

Given that the first 9 tosses were heads, the chance of getting 10 heads in a row is $\frac{1}{2}$ is true.

3 0

4 years ago

a car traveling at 30 m/s starts to decelerate steadily. it comes to a complete stop in 12 seconds. what is its acceleration?

creativ13 [48]

Just divide -30 m/s (the change in velocity) by 12 seconds (the time required for the car to come to a stop):

-30 m/s
----------- = - 2,5 m / (sec)^2 (answer)
12 sec

5 0

3 years ago

What is the difference between 8 plus 5 and 8 plus 9

Aloiza [94]

Answer:

8+5=13 and 8+9=17 or (8+5) - (8+9) =-4

Step-by-step explanation:

3 0

4 years ago

Read 2 more answers

70% of what number is 105 using division

-BARSIC- [3]

If you took 70% turned it to a decimal it would be 0.70 and then you divide it by 105 and the answer is 0.0066 repeated.

4 0

3 years ago

0.6(4-2x)=20.5-(3x+10)

solong [7]

The solution of 0.6(4-2x)=20.5-(3x+10) is x = 4.5

<u>Solution:</u>

Given, expression is 0.6 ( 4 – 2x ) = 20.5 – ( 3x + 10 )

We have to solve the above given equation for x.

Now, take the equation

$\rightarrow 0.6(4-2 x)=20.5-(3 x+10)$

We have to use BODMAS rule. BODMAS means sequence of operations which is brackets, order, division, multiplication, addition and then subtraction

On solving the brackets, we get

$\rightarrow 0.6 \times 4-0.6 \times 2 x=20.5-3 x-10$

Now multiplication is given preference

$\rightarrow 2.4-1.2 x=10.5-3 x$

$\rightarrow 3 x-1.2 x=10.5-2.4$

Now subtraction is done

$\rightarrow 1.8 \mathrm{x}=8.1$

Now division is performed

$\rightarrow x=\frac{8.1}{1.8}=4.5$

Hence, the value of x is 4.5

5 0

3 years ago