Answer:
The chance that there will be exactly 2 heads among the first five tosses and exactly 4 heads among the last 5 tosses is P=0.0488.
Step-by-step explanation:
To solve this problem we divide the tossing in two: the first 5 tosses and the last 5 tosses.
Both heads and tails have an individual probability p=0.5.
Then, both group of five tosses have the same binomial distribution: n=5, p=0.5.
The probability that k heads are in the sample is:
Then, the probability that exactly 2 heads are among the first five tosses can be calculated as:
For the last five tosses, the probability that are exactly 4 heads is:
Then, the probability that there will be exactly 2 heads among the first five tosses and exactly 4 heads among the last 5 tosses can be calculated multypling the probabilities of these two independent events:
-x/4-6>-8
Multiply both sides by 4
-x-24>-32
Move the constant to the right
-x>-32+24
-x>-8
Change the signs
x<8
Answer:
a¹⁸b²⁴c⁵⁴
Step-by-step explanation:
(aᵇ)ᶜ = aᵇᶜ = aᵇ×ᶜ
(-aⁿ)ᵒᵈᵈ = -aⁿ
(-aⁿ)ᵉᵛᵉⁿ = aⁿ
aⁿ × aⁿ = aⁿ⁺ⁿ
_________
In this situation, 6 is an even exponent which means that the negative coefficient of this 9th degree monomial will be positive. Now the only step is to multiply the exponents by the exponent outside of the perenthesis which is 6.
so (-a³b⁴c⁹)⁶ = ((-a³)⁶(b⁴)⁶(c⁹)⁶) = ((a³ˣ⁶)(b⁴ˣ⁶)(c⁹ˣ⁶)) = ((a¹⁸)(b²⁴)(c⁵⁴)) = <em>a¹⁸b²⁴c⁵⁴</em>
Both 8,15,17 and 15,20,25 will form a right triangle
If you need help with these types of problems just go into google and search Pythagorean theory silver and plug in 2/3 side lengths and if the outcome equals the third number, then that means that the side lengths make a right triangle
The relationship between lines KO and K’O’ is given as Line K'O' = 5 * line KO
<h3>What is a
transformation?</h3>
Transformation is the movement of a point from its initial point to a new location. Types of transformation are<em> reflection, rotation, translation and dilation.</em>
Dilation is the increase or decrease in size of a figure by a scale factor.
The larger figure was dilated using a scale factor of 5, hence:
Line K'O' = 5 * line KO
The relationship between lines KO and K’O’ is given as Line K'O' = 5 * line KO
Find out more on transformation at: brainly.com/question/4289712
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