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Mademuasel [1]
3 years ago
12

Given the point (2,3) and the slope of 4 ,find y when x=22

Mathematics
2 answers:
Ugo [173]3 years ago
5 0

The answer is y = 83

Mariulka [41]3 years ago
4 0
Y - y₁ = m(x - x₁)
 y - 3 = 4(22 - 2)
 y - 3 = 4(20)
 y - 3 = 80
   + 3  + 3
     y = 83
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A survey of shoppers is planned to determine what percentage use credit cards. prior surveys suggest​ 63% of shoppers use credit
Alona [7]
We would need a sample size of 560.

We first calculate the z-score associated. with this level of confidence:
Convert 95% to a decimal:  95% = 95/100 = 0.95
Subtract from 1:  1-0.95 = 0.05
Divide by 2:  0.05/2 = 0.025
Subtract from 1:  1-0.025 = 0.975

Using a z-table (http://www.z-table.com) we see that this is associated with a z-score of 1.96.

The margin of error, ME, is given by:
ME=z*\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}

We want ME to be 4%; 4% = 4/100 = 0.04.  Substituting this into our equation, as well as our proportion and z-score,
0.04=1.96\sqrt{\frac{0.63(1-0.63)}{n}}
\\
\\\text{Dividing both sides by 1.96,}
\\
\\\frac{0.04}{1.96}=\sqrt{\frac{0.63(0.37)}{n}}
\\
\\\text{Squaring both sides,}
\\
\\(\frac{0.04}{1.96})^2=\frac{0.63(0.37)}{n}
\\
\\\text{Multiplying both sides by n,}
\\
\\n(\frac{0.04}{1.96})^2=0.63(0.37)
\\
\\n(\frac{0.04}{1.96})^2=0.2331
\\
\\\text{Isolating n,}
\\
\\n=\frac{0.2331}{(\frac{0.04}{1.96})^2}=559.67\approx560
3 0
3 years ago
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
guajiro [1.7K]

Answer:

5 - x

Step-by-step explanation:

Given:

f(x)=25-x^2

g(x)=x+5

\begin{aligned}\left(\dfrac{f}{g}\right)(x) & = \dfrac{f(x)}{g(x)}\\\\ & = \dfrac{25-x^2}{x+5}\\\\& = \dfrac{(5-x)(5+x)}{(x+5)}\\\\& = \dfrac{(5-x)(x+5)}{(x+5)}\\\\& = 5-x\end{aligned}

8 0
2 years ago
Read 2 more answers
3(2x - 1) = 1/2 (4x - 2) + 2<br> What would it be?
Novay_Z [31]

Answer:

X =  1

Step-by-step explanation:

Just distribute properly, and distribute the fraction multiplying the numerator by 4 and 2

6 0
2 years ago
Please help this is due in about three minutes
mihalych1998 [28]

Answer:

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6 0
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4vir4ik [10]
Well first you take 78 and turn it to 7.8 
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3 years ago
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