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lana [24]
3 years ago
5

The variable y varies directly with x . If x=2 and y = −7, find y when x = −6.

Mathematics
2 answers:
telo118 [61]3 years ago
8 0

Step-by-step explanation:

\frac{2}{ - 6}  =  \frac{ - 7}{y}  \\ y =  \frac{( - 6) \times  (- 7)}{2}  \\ y =  \frac{42}{2}  \\  \boxed{y = 21}

<h2>21 is the right answer.</h2>
suter [353]3 years ago
7 0

Answer:

Step-by-step explanation:

X=2

Y=-7

Then if x is -6 u have to find what times 2 is -6 Which is -3.

so -7 x -3 is 21. Y is 21

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3 years ago
Determine the slope of a line that is perpendicular to the line whose equation is x - 2y = 6.
Degger [83]

Answer:

The answer is -1/2

Step-by-step explanation:

We first start by removing x in order isolate the y variable

2y = 6 - x

y = \frac{6-x}{2}

Further, we simplify the equation in order to get the value of m (slope)

y = 3 + \frac{-1x}{2}

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4 0
3 years ago
A potato chip manufacturer has found that in the past the standard deviation of bag weight has been 0.2 ounce. They want to test
Brut [27]

Answer:

Null Hypothesis: \sigma=0.2

Alternative hypothesis: \sigma \neq 0.2 (Changes on the deviation)

Step-by-step explanation:

s represent the sample standard deviation

\sigma represent the population standard deviation (variable of interest)

\sigma_o =0.2 represent the value that we want to test

n represent the sample size

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".  

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

Based on this the system of hypothesis should be:

Null Hypothesis: \sigma=0.2

Alternative hypothesis: \sigma \neq 0.2 (Changes on the deviation)

In order to test these system of hypothesis we need to select a significance level \alpha, then we need to calculate an statistic given by this formula.

\chi^2 =\frac{(n-1)s^2}{\sigma^2_o}

Then we need to calculate the degrees of freedom for the statistic on this case

df=n-1

And after this we need to calculate the pvalue based on the significance, the alternative hypothesis and the statistic calculated.

If the p_v we reject the null hypothesis

If the p_v >\alpha we FAIL reject the null hypothesis

3 0
3 years ago
Mayr won the Olympic gold metal in 2000 with the time of 9.87 his time was 0.93 seconds faster than jermeys who won in the 1900
fomenos
9.87s + 0.93s = 10.80s for Jeremy
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3 years ago
A population increased 13% up to 2,877. What was the population before the increase?
Colt1911 [192]
\frac{100*2877}{113} &#10;=2547
8 0
3 years ago
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