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3 years ago

A coin is tossed 3 times. what is the probability of obtaning two heads out of the 3 tosses

1 answer:

3 0

I answered a similar problem yesterday.
In three coin tosses there are 8 possible outcomes:
H H H
H H T
H T H
T H H
T T H
T H T
H T T
T T T

Of those results, four out of the eight have at least 2 tails and so the probability is (4/8) or50%

If you need the probability of getting EXACTLY 2 tails then the probability is (3/8) or .375

You might be interested in

Help plzzzzz will give brainliest

Marysya12 [62]

1. 3.52 x 10⁸

2. y = -4

have a great day ♡

5 0

3 years ago

Helpppppppppp mehhhhh plz

Goshia [24]

Let's start off with a simple y-intercept form.

y=mx + b
b represents the y intercept so we can substitute it with 2.
y = mx + 2
the point we are given, (1,1) is really just an x and y value. We can also substitute this into the equation.
y = x + 2

Now that we have some type of equation, we can convert it to the form shown in the answer choices by subtracting y from both sides.
0 = x - y + 2
Hope this helps!

4 0

3 years ago

What is the value of 4*(-1+2-3+4-3+6-7+....+100) Show your work. [Pls help I am really drowning in work. 50 points + brainliest

KengaRu [80]

Answer:

200

Step-by-step explanation:

We have:

$4(-1+2-3+4-5+6-7...+100)$

We can rearrange the numbers to obtain:

$4((-1-3-5-7-...-99)+(2+4+6...+100))$

From the left, we can factor out a negative. So:

$4(-(1+3+5+7+...+99)+(2+4+6...+100))$

In other words, we want to find the sum of all the odd numbers from 1 to 99.

And the sum of all the even numbers from 2 to 100.

Let's do each one individually:

Odd Terms:

We have:

$(1+3+5+7+...+99)$

We can use the arithmetic series formula, where:

$S=\frac{k}{2}(a+x_k)$

Where k is the number of terms, a is the first term, and x_k is the last term.

Since it's all the odd numbers between 1 and 99, there are 50 terms.

Our first term is 1 and our last term is 99. So, the sum of all the odd terms are:

$S=\frac{50}{2}(1+99})$

Divide the fraction. Add within the parentheses:

$S=25(100)$

Multiply:

$S=2500$

So, the sum of all the odd terms is 2500.

Even Terms:

We have:

$(2+4+6+...+100)$

Again, we can use the above formula.

Our first term is 2, last term is 100. And since it's from 2-100, we have 50 even terms. So:

$S=\frac{50}{2}(2+100)$

Divide and add:

$S=25(102)$

Multiply:

$S=2550$

We originally had:

$4(-(1+3+5+7+...+99)+(2+4+6...+100))$

Substitute them for their respective sums:

$4(-(2500)+2550)$

Multiply:

$4(-2500+2550)$

Add:

$=4(50)$

Multiply:

$=200$

So, the sum of our sequence is 200.

And we're done!

Note: I just found a <em>way</em> easier way to do this. We have:

$4\cdot(-1+2-3+4-5+6-7+...+100)$

Let's group every two terms together. So:

$=4((-1+2)+(-3+4)+(-5+6)...+(-99+100))$

We can see that they each sum to 1:

$=4((1)+(1)+(1)+...+(1))$

Since there are 100 terms, we will have 50 pairs, so 50 times 1. So:

$=4(50)$

Multiply:

$=200$

Pick which one you want to use! I will suggest this one though...

Edit: Typo

8 0

3 years ago

A regulation softball has a circumference of 12 inches. what is the volume of the softball?

frez [133]

V=(4/3)pir^2

c=2pir
12=2pir
divide 2
6=pir
divide by pi
6/pi=r

sub for r
V=(4/3)pi(6/pi)^2
V=(4/3)pi(36/(pi^2))
V=(4/3)(36/pi)
V=144/(3pi)
V=48/pi
aprox pi=3.141592
V=15.2788777155

V=15.28 in^3

8 0

3 years ago

Matter is in a liquid state when its temperature is between its melting point and its boiling point. Suppose that some substance

a_sh-v [17]

Answer:

i. When the temperature is above $616.712^{o}$ F, it changes to gas.

ii. When the temperature is below $-33.052^{o}$ F, it changes to solid.

Step-by-step explanation:

Matter generally exists in either a solid, liquid or gaseous form. With each phase having a certain range of temperature.

Temperature scale of a given substance can be either in Celsius, Fahrenheit or Kelvin. And conversion from one scale to another can be achieved. Example, Celsius scale can be converted to Fahrenheit by:

F = $\frac{9}{5}$ θ + 32

where: F is the equivalent temperature in Fahrenheit, θ is the value of temperature in degree Celsius.

Given that: melting point of the substance = $-36.14^{o}$ C

⇒ F = $\frac{9}{5}$ x $-36.14^{o}$ + 32

= $-33.052^{o}$ F

The boiling point = $324.84^{o}$ C

F = $\frac{9}{5}$ x $324.84^{o}$ + 32

= $616.712^{o}$ F

The melting point of the substance is $-33.052^{o}$ F, and boiling point is $616.712^{o}$ F.

Therefore, the range of temperatures for which the substance is not in a liquid state are:

i. When the temperature is above $616.712^{o}$ F, it changes to gas.

ii. When the temperature is below $-33.052^{o}$ F, it changes to solid.

3 0

3 years ago