Answer:
<em>The percentage of males are not at least 172 pounds</em>
P(X⁻ ≥ 172) = 0.26
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that 74% of 19 -year -old males are at least 172 pounds
Let 'X' be a random variable in a binomial distribution
P( X≥172) = 74% = 0.74
<em>we have to find that the percentage of males are not at least 172 pounds</em>
<u><em>Step(ii):-</em></u>
<em>The probability of males are not at least 172 pounds</em>
P(X⁻≥172) = 1- P( X≥172)
= 1- 0.74
<em> = 0.26</em>
<u><em>Final answer:-</em></u>
<em>The percentage of males are not at least 172 pounds</em>
P(X⁻ ≥ 172) = 0.26
<u><em></em></u>
If the growth rate is a constant, we can model it using a linear equation:
y = b + ax
where b = initial value, a = growth rate.
In this case, x = m = number of months.
Let's find the equation for the growth of each species.
Species A:
Initial height = b = 25 cm
Growth rate = a = 3 cm per month
So its height can be modeled by H(m) = 25 + 3m
Species B:
Initial height = b = 10 cm
Growth rate = a = 8 cm per month
So its height can be modeled by H(m) = 10 + 8m
Thus the answer is A: H(m) = 25 + 3m and B: H(m) = 10 + 8m.
let's first off convert those mixed fractions to improper fractions, then get their difference.
![\bf \stackrel{mixed}{1\frac{1}{2}}\implies \cfrac{1\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{3}{2}}~\hfill \stackrel{mixed}{2\frac{1}{10}}\implies \cfrac{2\cdot 10+1}{10}\implies \stackrel{improper}{\cfrac{21}{10}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{21}{10}-\cfrac{3}{2}\implies \stackrel{\textit{using the LCD of 10}}{\cfrac{(1)21-(5)3}{10}}\implies \cfrac{21-15}{10}\implies \cfrac{6}{10}\implies \cfrac{3}{5}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B1%5Cfrac%7B1%7D%7B2%7D%7D%5Cimplies%20%5Ccfrac%7B1%5Ccdot%202%2B1%7D%7B2%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B3%7D%7B2%7D%7D~%5Chfill%20%5Cstackrel%7Bmixed%7D%7B2%5Cfrac%7B1%7D%7B10%7D%7D%5Cimplies%20%5Ccfrac%7B2%5Ccdot%2010%2B1%7D%7B10%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B21%7D%7B10%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%20%5Ccfrac%7B21%7D%7B10%7D-%5Ccfrac%7B3%7D%7B2%7D%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Busing%20the%20LCD%20of%2010%7D%7D%7B%5Ccfrac%7B%281%2921-%285%293%7D%7B10%7D%7D%5Cimplies%20%5Ccfrac%7B21-15%7D%7B10%7D%5Cimplies%20%5Ccfrac%7B6%7D%7B10%7D%5Cimplies%20%5Ccfrac%7B3%7D%7B5%7D)
now, the original amount, 3/2, if that is the 100%, what is 3/5 off of it in percentage?
Answer:
1/5, 1/3, 0.4, 1/2
Step-by-step explanation:
1/5 = 0.2
1/3 = 0.33
1/2 = 0.5
<span>(3x-4)+(x+3)^2
= 3x - 4 + x^2 + 6x + 9 .........(expand using (a+b)^2 = a^2 + 2ab + b^2)
= x^2 + 9x + 5 ..........(combine like terms and simplify)
hope that helps</span>
