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s2008m [1.1K]
3 years ago
15

Help please I really need it

Mathematics
1 answer:
gtnhenbr [62]3 years ago
7 0
So we want to solve <span><span><span>2x </span>− 40 </span>= <span>3y </span></span>for x<span><span><span><span>2x </span>− 40 </span>+ 40 </span>= <span><span>3y </span>+ 40</span></span>(Add 40 to both sides!)<span><span>2x </span>= <span><span>3y </span>+ <span>40
Now divide both sides by 2!
</span></span></span>\frac{2x}{2} = \frac{3y + 40}{2} \ \textgreater \  x =  \frac{3}{2}y + 20
Now substitute \frac{3}{2}y + 20 for x in 2y = -4x + 48&#10;&#10;
2y = -4( \frac{3}{2}y + 20) + 48
Which then gives us..
<span><span>2y </span>= <span><span>−<span>6y </span></span>− 32</span></span>(Make sure to simplify both sides of the equation)<span><span><span>2y </span>+ <span>6y </span></span>= <span><span><span>−<span>6y </span></span>− 32 </span>+ <span>6y</span></span></span>(Now add 6y to both sides)<span><span>8y </span>= <span>−<span>32
Now divide both sides by 8
</span></span></span>\frac{8y}{8} = \frac{-32}{8} \ \textgreater \  y = -4
Now we have to substitute -4 for y in x =  \frac{3}{2}y + 20 \ \textgreater \   \frac{3}{2}(-4) + 20 \ \textgreater \  x = 14
So we end up getting...
<span>x = <span><span>14<span> and </span></span>y </span></span>= <span>−<span>4.
</span></span>Hope this helps!
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<em />

Step-by-step explanation:

<em>The question is incomplete:</em>

<em>What should I buy? A study conducted by a research group in a recent year reported that 57% of cell phone owners used their phones inside a store for guidance on purchasing decisions. A sample of 14 cell phone owners is studied. Round the answers to at least four decimal places. What is the probability that seven or more of them used their phones for guidance on purchasing decisions? </em>

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P(x=k)=\dbinom{n}{k} p^{k}q^{n-k}

a) We have to calculate the probability that seven or more of them used their phones for guidance on purchasing decisions:

P(x\geq7)=\sum_{k=7}^{14}P(x=k)\\\\\\

P(x=7)=\dbinom{14}{7} p^{7}q^{7}=3432*0.0195*0.0027=0.1824\\\\\\P(x=8) = \dbinom{14}{8} p^{8}q^{6}=3003*0.0111*0.0063=0.2115\\\\\\P(x=9) = \dbinom{14}{9} p^{9}q^{5}=2002*0.0064*0.0147=0.1869\\\\\\P(x=10) = \dbinom{14}{10} p^{10}q^{4}=1001*0.0036*0.0342=0.1239\\\\\\P(x=11) = \dbinom{14}{11} p^{11}q^{3}=364*0.0021*0.0795=0.0597\\\\\\P(x=12) = \dbinom{14}{12} p^{12}q^{2}=91*0.0012*0.1849=0.0198\\\\\\P(x=13) = \dbinom{14}{13} p^{13}q^{1}=14*0.0007*0.43=0.004\\\\\\

P(x=14) = \dbinom{14}{14} p^{14}q^{0}=1*0.0004*1=0.0004\\\\\\

P(x\geq7)=0.1824+0.2115+0.1869+0.1239+0.0597+0.0198+0.004+0.0004\\\\P(x\geq7)=0.7886

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