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4 years ago

What is the sample space of two coins

Mathematics

1 answer:

Salsk061 [2.6K]4 years ago

3 0

<h3>Answer: <u><em>Hope this helps</em></u></h3>

Step-by-step explanation:

<h3><u><em>For example, if the experiment is tossing a coin, the sample space is typically the set head, tail, commonly written For tossing two coins, the corresponding sample space would be (head,head), (head,tail), (tail,head), (tail,tail),</em></u></h3>

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Find the measures of the unknown angles in the triangle shown. Round it the nearest degree.

Fudgin [204]

Answer:

x = 49°

y = 41°

Step-by-step explanation:

Recall: SOH CAH TOA

✔️To find x, the trig function we would apply is Cos, which is:

Cos θ = Adjacent/Hypotenuse (CAH)

θ = x

Adjacent = 13

Hypotenuse = 20

$Cos(x) = \frac{13}{20}$

$x = cos^{-1}(\frac{13}{20})$

x = 49.4583981°

x = 49° (nearest degree)

✔️To find y, the trig function we would apply is Sin, which is:

Sin θ = Opposite/Hypotenuse (SOH)

θ = y

Opposite = 13

Hypotenuse = 20

$Sin(y) = \frac{13}{20}$

$y = Sin^{-1}(\frac{13}{20})$

y = 40.5416019°

y = 41° (nearest degree)

3 0

3 years ago

How many pairs of whole numbers have a sum of 99?

vivado [14]

Its will be 50 pairs
starting with 0+99=99 1+98=99
2+97=99 and so on

5 0

3 years ago

Read 2 more answers

A tank with a capacity of 500 gal originally contains 200 gal of water with 100 lb of salt in solution. Water containing 1 lb of

saw5 [17]

Let A(t) denote the amount of salt in the tank at time t.

Salt flows in at a rate of

(1 lb/gal) * (3 gal/min) = 3 lb/min

and flows out at a rate of

(A(t)/(200 + t) lb/gal) * (2 gal/min) = 2 A(t)/(500 + t)

(in case you're unsure about the denominator: the tank starts off with 200 gal of solution, and each minute solution flows in at a rate of 3 gal/min and thus the tank gains (3 gal/min) * (1 min) = 3 gal. At the same time, solution flows out at a rate of 2 gal/min and thus the tank loses 2 gal, giving a net change in volume of (3 - 2)*t = t gal)

Then the net rate of salt flow is given by the ODE,

$\dfrac{\mathrm dA(t)}{\mathrm dt}-\dfrac{2A(t)}{200+t}=3$

Multiply both sides by $(200+t)^{-2}$ :

$(200+t)^{-1}\dfrac{\mathrm dA(t)}{\mathrm dt}-2(200+t)^{-3}A()=3(200+t)^{-2}$

$\implies\dfrac{\mathrm d}{\mathrm dt}\bigg((200+t)^{-2}A(t)\bigg)=3(200+t)^{-2}$

Integrating both sides and solving for $A(t)$ gives

$(200+t)^{-2}A(t)=-\dfrac3{200+t}+C$

$A(t)=-2(200+t)+C(200+t)^2$

The tank starts off with 100 lb of salt in solution, so $A(0)=100$ and we find

$100=-2(200)+C(200)^2\implies C=\dfrac1{80}$

and so

$A(t)=-2(200+t)+\dfrac{(200+t)^2}{80}=\dfrac{(200+t)(40+t)}{80}$

The tank will begin to overflow once the volume of solution reaches 500 gal; this happens when

$500=200+t\implies t=300$

or 300 minutes or 5 hours after solution starts flowing. At this point, the tank will contain

$A(300)=2125$

or 2125 lb of salt.

Theoretically, the amount of salt in the tank will increase forever, since $A(t)\to\infty$ as $t\to\infty$ .

6 0

4 years ago

The set of rational numbers contains the set of natural numbers.<br><br> True or false

RUDIKE [14]

Answer:

True

Step-by-step explanation:

3 0

3 years ago

A grocery store is offering a 50% discount off a $4.00 box of cereal. You also have a $1.00 off coupon for the same cereal. Use

s344n2d4d5 [400]

After because if you use it before the discount then the final price will be 1.50 but if you use it after the discount, then the final price is 1 dollar . 4 dollar with 50% discount is 2 dollar, and 2-1 is 1. 4-1 is 3 and 3 dollar with 50% discount is 1.50 dollar

4 0

3 years ago