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3 years ago

Three coins are flipped,what is the Probability of getting one HEAD and two TAILs?

Mathematics

2 answers:

diamong [38]3 years ago

4 0

Answer:

3/8

Step-by-step explanation:

So, three outcomes give two heads and a tail (HHT, HTH, THH). Therefore, the probability of getting two heads and a tail is 3/8.

nata0808 [166]3 years ago

3 0

Answer:

3/8

Step-by-step explanation:

The possible outcomes are

HHH HHT HTH HTT

TTT TTH THT THH

where H is heads and T is tails

We want one head and two tails

HTT,TTH THT

There are 3 choices that fit

P ( one head and two tails is)= number of one head two tail/ total

= 3/8

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Pls,pls,pls,help me I will give lots of pound 100+ points

Bond [772]

Answer:

3log(10) -2log(5) ≈ 1.60206
no; rules of logs apply to any base. ln(x) ≈ 2.302585×log(x)
no; the given "property" is nonsense

Step-by-step explanation:

The given expression expression can be simplified to ...

3log(10) -2log(5) = log(10^3) -log(5^2) = log(1000) -log(25)

= log(1000/25) = log(40) . . . . ≠ log(5)

≈ 1.60206

Or, it can be evaluated directly:

= 3(1) -2(0.69897) = 3 -1.39794

= 1.60206

The properties of logarithms apply to logarithms of any base. Natural logs and common logs are related by the change of base formula ...

ln(x) = log(x)/log(e) ≈ 2.302585·log(x)

The given "property" is nonsense. There is no simplification for the product of logs of the same base. There is no expansion for the log of a sum. The formula for the log of a power does apply:

$\log(a)\log(b)=\log(a^{\log(b)})=\log(b^{\log(a)})$

Numerical evaluation of Mr. Kim's expression would prove him wrong.

log(3)log(4) = (0.47712)(0.60206) = 0.28726

log(7) = 0.84510

0.28726 ≠ 0.84510

log(3)log(4) ≠ log(7)

4 0

2 years ago

2sinx / cos3x = tan3x - tanx -verify the identity-

scoundrel [369]

Answer:

cos3x+tan3x=0

⟹cos3x=−tan3x

⟹cos3x=−sin3xcos3x

⟹cos23x=−sin3x

⟹1−sin23x=−sin3x

⟹sin23x−sin3x−1=0

This is a quadratic equation in sin3x.

sin3x=−(−1)±(−1)2−4×1×(−1)−−−−−−−−−−−−−−−−−√2×1

sin3x=1±5–√2

If x takes real values, the upper sign must be rejected.

sin3x=1−5–√2

⟹3x=nπ+(−1)nsin−11−5–√2

⟹x=13[nπ+(−1)nsin−11−5–√2]

Step-by-step explanation:

Hope this kind of helps

6 0

2 years ago

Lisa typed a 165-word paragraph in three minutes. Use the ratio table to

JulsSmile [24]

Answer:

1 minute

Step-by-step explanation:

We can see that Lisa types 165 words in 3 mins.

So she types 55 words in 1 minute.

How did I work that out?

Well, all you really do is $\frac {165}{3}$ which is equal to $\frac{55}{1}$ if you divide top and bottom by 3. Anything divided by 1 is itself.

8 0

2 years ago

What was the names of Jupiter’s big pet dog?

Rama09 [41]

IDK sorry bout that bud

8 0

3 years ago

Solve<br> x2 - 8x + 14 = 2x - 7

BabaBlast [244]

Answer:

x=7, x=3

Step-by-step explanation:

$x^{2} -8x+14=2x-7$

$x^{2} -8x-2x+14+7=0$

$x^{2} -10x+21=0$

$\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}$

$x=$ $\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

positive

$x=\frac{-\left(-10\right)+\sqrt{\left(-10\right)^2-4\cdot \:1\cdot \:21}}{2\cdot \:1}$

$x=7$

negative

$x=\frac{-\left(-10\right)-\sqrt{\left(-10\right)^2-4\cdot \:1\cdot \:21}}{2\cdot \:1}$

$x=3$

7 0

3 years ago