All categories

3 years ago

What is the probability of getting the same number of heads and tails?1/81/43/83/4

Mathematics

1 answer:

victus00 [196]3 years ago

4 0

The probability of getting the same number of heads and tails is3/8

You might be interested in

Two angles are said to be congruent if

dem82 [27]

Congruent means Same Side, Same Shape.
If two angles are congruent, they are to be of the same size and same shape or a fraction of it (Dilation)

6 0

2 years ago

Read 2 more answers

Write each expression as an algebraic (nontrigonometric) expression in u, u > 0.

max2010maxim [7]

Answer:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0$

Step-by-step explanation:

We want to write the trignometric expression:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)\text{ where } u>0$

As an algebraic equation.

First, we can focus on the inner expression. Let θ equal the expression:

$\displaystyle \theta=\sec^{-1}\left(\frac{u}{10}\right)$

Take the secant of both sides:

$\displaystyle \sec(\theta)=\frac{u}{10}$

Since secant is the ratio of the hypotenuse side to the adjacent side, this means that the opposite side is:

$\displaystyle o=\sqrt{u^2-10^2}=\sqrt{u^2-100}$

By substitutition:

$\displaystyle= \sin(2\theta)$

Using an double-angle identity:

$=2\sin(\theta)\cos(\theta)$

We know that the opposite side is √(u² -100), the adjacent side is 10, and the hypotenuse is u. Therefore:

$\displaystyle =2\left(\frac{\sqrt{u^2-100}}{u}\right)\left(\frac{10}{u}\right)$

Simplify. Therefore:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0$

4 0

2 years ago

Nicole deposits $2,136 in a savings account paying 5.36% interest. To the nearest dollar, how much money does Nicole have in tot

jeka57 [31]

we know that

The simple interest formula is equal to

$A=P(1+rt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=9\ years\\ P=\$2,136\\ A=?\\r=0.0536$

substitute in the formula above

$A=2,136(1+0.0536*9)$

$A=2,136(1.4824)$

$A=\$3,166.41$

Round to the nearest dollar

$A=\$3,166$

therefore

<u>the answer is the option D</u>

$\$3,166$

5 0

3 years ago

Read 2 more answers

What is 2 +3 ? to make a whole number that will improve

spayn [35]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Please help! thank you guys!!! :)

Wittaler [7]

Answer:

Step-by-step explanation:

4 0

2 years ago