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3 years ago

8

Write a direct variation equation that shows the relationship between x and y.

1 answer:

Vlada [557]3 years ago

4 0

$\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \textit{we know that } \begin{cases} y = 15\\ x = 6 \end{cases}\implies 15=k(6)\implies \cfrac{15}{6}=k\implies \cfrac{5}{2}=k \\\\[-0.35em] ~\dotfill\\\\ ~\hfill y = \cfrac{5}{2}x~\hfill$

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2 years ago

Solve by factoring<br> 5x2-8=-6x

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Step-by-step explanation:

Step 1: Subtract -6x from both sides.

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2 years ago

Based on the Nielsen ratings, the local CBS affiliate claims its 11:00 PM newscast reaches 41 % of the viewing audience in the a

Fantom [35]

Answer:

null hypothesis is p=0.41

alternate hypothesis is p<0.41

Sample proportion is 0.36

critical value for a = 0.01 is -2.2326

z-statistic is −1,0166

critical value for the level of significance 0.10 is -1.28155

we fail to reject the null hypothesis in 0.01 significance level.

Step-by-step explanation:

Let p be the proportion of the viewing audience of 11:00PM CBS newscast in the area. Then

$H_{0}$ : p=0.41

$H_{a}$ : p<0.41

Sample proportion is 0.36 and critical value (left tailed) for a=0.01 is -2.2326

sample proportion Z-score can be calculated as follows:

z(0.36)= $\frac{p(s)-p}{\sqrt{\frac{p*(1-p)}{N} } }$ where

p(s) is the sample proportion of vieved newscast (0.36)

p is the proportion assumed under null hypothesis. (0.41)

N is the sample size (100)

putting the numbers z(0.36)= $\frac{0.36-0.41}{\sqrt{\frac{0.41*0.59}{100} } }$ =−1,0166

if the level of significance is 0.10 then critical value would be -1.28155.

in 0.01 significance level sample mean is not in the critical region, therefore we fail to reject the null hypothesis.

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3 years ago