3 years ago

What is the quotient of 1.44 x 10°8and 6.0 x 105 expressed in scientific notation?

Mathematics

1 answer:

leva [86]3 years ago

5 0

Answer:

2.4 x 10²

Step-by-step explanation:

1.44/6 x 10^8-5 = .24 x 10³ which is 240

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The value of X is:<br> A 11.3<br> B 8<br> C 16

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Step-by-step explanation:

Using the sine ratio in the right triangle

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x × sin45° = 8 ( divide both sides by sin45° )

x = $\frac{8}{sin45}$ ≈ 11.3

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Suppose we have an unfair coin that its head is twice as likely to occur as its tail. a)If the coin is flipped 3 times, what is

Alenkinab [10]

Answer: a) 0.2222, b) 0.3292, c) 0.1111

Step-by-step explanation:

Since we have given that

Let the probability of getting head be p.

Since, its head is twice as likely to occur as its tail.

$p+\dfrac{p}{2}=1\\\\\dfrac{3p}{2}=1\\\\p=\dfrac{2}{3}$

a)If the coin is flipped 3 times, what is the probability of getting exactly 1 head?

So, here, n = 3

$p=\dfrac{2}{3}$

$q=\dfrac{1}{3}$

Now,

$P(X=1)=^3C_1(\dfrac{2}{3})^1(\dfrac{1}{3})^2=0.2222$

b)If the coin is flipped 5 times, what is the probability of getting exactly 2 tails?

2 tails means 3 heads.

So, it becomes,

$P(X=3)=^5C_3(\dfrac{2}{3})^3(\dfrac{1}{3})^2=0.3292$

c)If the coin is flipped 4 times, what is the probability of getting at least 3 tails?

$P(X\leq 1)=\sum _{x=0}^1^4C_x(\dfrac{2}{3}^x(\dfrac{1}{3})^{4-x}=0.1111$

Hence, a) 0.2222, b) 0.3292, c) 0.1111

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3 years ago