Suppose that you flip a coin 12 times. what is the probability that you achieve at least 6 tails?

2/4 is what pieces of a whole

rewona [7]

2/4 is half of a whole

8 0

3 years ago

Read 2 more answers

Find x so that x, X +2, X'+3 are the first three terms of a geometric sequence. Then find the 5" term of the

velikii [3]

Answer:

The fifth term is -1/4.

Step-by-step explanation:

We know that the first three terms of the geometric sequence is x, x + 2, and x + 3.

So, our first term is x.

Then our second term will be our first term multiplied by the common ratio r. So:

$x+2=xr$

And our third term will be our first term multiplied by the common ratio r twice. Therefore:

$x+3=xr^2$

Solve for x. From the second term, we can divide both sides by x:

$\displaystyle r=\frac{x+2}{x}$

Substitute this into the third equation:

$\displaystyle x+3=x\Big(\frac{x+2}{x}\Big)^2$

Square:

$\displaystyle x+3 = x\Big( \frac{(x+2)^2}{x^2} \Big)$

Simplify:

$\displaystyle x+3=\frac{(x+2)^2}{x}$

We can multiply both sides by x:

$x(x+3)=(x+2)^2$

Expand:

$x^2+3x=x^2+4x+4$

Isolate the x:

$-x=4$

Hence, our first term is:

$x=-4$

Then our common ratio r is:

$\displaystyle r=\frac{(-4)+2}{-4}=\frac{-2}{-4}=\frac{1}{2}$

So, our first term is -4 and our common ratio is 1/2.

Then our sequence will be -4, -2, -1, -1/2, -1/4.

You can verify that the first three terms indeed follow the pattern of x, x + 2, and x + 3.

So, our fifth term is -1/4.

4 0

3 years ago

Mrs. Morton has a special reward system for her class. When all her students behave well, she rewarded him by putting 3 marbles

Law Incorporation [45]

Needs 76 more marbles

7 0

3 years ago

3V3 х 60° Find the values of x and y. Write your answers in simplest form. X= y=

Alex787 [66]

Answer:

X=3

y=6

Step-by-step explanation:

$tan60=\sqrt{3}=\frac{3\sqrt{3} }{x} \\\\x=3$

-----------

$sin60=\frac{\sqrt{3} }{2} =\frac{3\sqrt{3} }{y} \\\\y=6$

hope it helps...

have a great day!!

6 0

3 years ago

The Census Bureau estimates that in 2020, 15 of the 50 states will have a Spanish-speaking majority. What percent of the states

Vinvika [58]

The answer is: [C]: "30%" .
_____________________________________________________
Explanation:
_____________________________________________________
Note that: "%" ; or "percent" means "out of 100" ; or "divided by 100" .
______________________________________________________
Method 1)

15/50 = ?/ 100 ;

Look at the denominators:

50 * (what value?) = 100 ? ; → "100 ÷ 50 = 2" ;

→ 50 * 2 = 100 ;

So: "15/50 = (15*2)/(50*2) = "30/100" ; which is "30%" .
___________________________________________
Method 2:
___________________________________________
"15/50" = (15÷5) / (50÷5) = 3/10 ;

3/10 = (3*10) / (10*10) = 30/100 ; which is: "30%" .
__________________________________________
Method 3: (slight variation of "Method 2" above):
___________________________________________
"15/50" = (15÷5) / (50÷5) = 3/10 ;

3/10 = 0.3 = 0.30 = (0.30 * 100) % = " 30% " .
___________________________________________

4 0

4 years ago