Hello,
just add the two equations and make it equal to 180 and solve..
here, 15x + 4 + 10x + 1 = 180
now combine 15x and 10x to get 25x and 4and 1 to get 5
now we have 25x + 5 = 180
subtract 5 from 180 to get 175
then divide by 25 to get 7
X = 7
hope it helped.
Answer:
a) The data distribution consists of ( 7 )1's (denoting a foreign student) and ( 43 )0's (denoting a student from the U.S.).
b) The population distribution consists of the x-values of the population of 12,152 full-time undergraduate students at theuniversity, ( 6 )% of which are 1's (denoting a foreign student) and ( 94 )% of which are 0's (denoting a student from the U.S.).
c) The mean is ( 0.06 )
The standard deviation is ( 0.0336 )
The sampling distribution represents the probability distribution of the ( sample ) proportion of foreign students in a random sample of ( 50 ) students. In this case, the sampling distribution is approximately normal with a mean of ( 0.06 ) and a standard deviation of ( 0.0336 )
Step-by-step explanation:
<span><span>Lets first solve the first one:</span></span>
<span><span>log<span>(x+9)</span></span>=<span>log<span>(2x−7)</span></span></span>
Convert the logarithmic equation to an exponential equation.
<span><span>10^<span>log<span>(x+9)</span></span></span>=<span>10^<span>log<span>(2x−7)</span></span></span></span>
Remember that <span><span>10^<span>logx</span></span>=x</span>, so
<span>x+9=2x−7</span>
Move values with 'x' to the right hand side.
<span>7+9=2x-x</span>
Combine like terms.
<span>16=x so,</span>
<span>x=16</span>
Check:
<span><span>log<span>(x+9)</span></span>=<span>log<span>(2x−7)</span></span></span>
If <span>x=16</span>
<span><span>log<span>(16+9)</span></span>=<span>log<span>(2<span>(16)</span>−7)</span></span></span>
<span><span>log25</span>=<span>log<span>(32−7)</span></span></span>
<span><span>log25</span>=<span>log25</span></span>
<span>x=16</span> is a solution.
Solve the second one like i solved this one, try it