Answer:
5⁷
Step-by-step explanation:
5*5*5*5*5*5*5
here,
count how many 5 are there - 7
so,
<u>exponential notation form:</u>
5*5*5*5*5*5*5 = 5⁷
The given problem describes a binomial distribution with p = 60% = 0.6. Given that there are 400 trials, i.e. n = 400.
a.) The mean is given by:
![\mu=np=400\times0.6=240](https://tex.z-dn.net/?f=%5Cmu%3Dnp%3D400%5Ctimes0.6%3D240)
The standard deviation is given by:
![\sigma=\sqrt{npq} \\ \\ =\sqrt{np(1-p)} \\ \\ =\sqrt{400(0.6)(0.4)} \\ \\ =\sqrt{96}=9.80](https://tex.z-dn.net/?f=%5Csigma%3D%5Csqrt%7Bnpq%7D%20%5C%5C%20%20%5C%5C%20%3D%5Csqrt%7Bnp%281-p%29%7D%20%5C%5C%20%20%5C%5C%20%3D%5Csqrt%7B400%280.6%29%280.4%29%7D%20%5C%5C%20%20%5C%5C%20%3D%5Csqrt%7B96%7D%3D9.80)
b.) The mean means that in an experiment of 400 adult smokers, we expect on the average to get about 240 smokers who started smoking before turning 18 years.
c.) It would be unusual to observe <span>340 smokers who started smoking before turning 18 years old in a random sample of 400 adult smokers because 340 is far greater than the mean of the distribution.
340 is greater than 3 standard deviations from the mean of the distribution.</span>
Triangle A"B"C" are similar triangles to triangle ABC and all corresponding angles are congruent. Also, triangle A"B"C" is twice the size of triangle ABC.
<h3>What is
transformation?</h3>
Transformation is the movement of a point from its initial location to a new location. Types of transformations are<em> reflection, rotation, translation and dilation.</em>
Translation is the movement of a point either <em>up, left, right or down</em> in the coordinate plane.
Triangle ABC is translated 3 units to the left and downward 10 units to form triangle A'B'C', then dilated by a factor of 2 to form triangle A''B''C''.
Hence:
Triangle A"B"C" are similar triangles to triangle ABC and all corresponding angles are congruent. Also, triangle A"B"C" is twice the size of triangle ABC.
Find out more on transformation at: brainly.com/question/4289712
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Answer:Let P = initial investment
r = annual interest rate (decimal form)
t = number of years
A(t) = amount after t years
Then, A(t) = Pert
A(12.5) = 800e(0.0265)(12.5)
= 800e0.33125
= $1114.17
Step-by-step explanation: