Given:
Sprayer and generator
1st Job: 6 hours each for a total of $90
2nd Job: 4 hours sprayer and 8 hours generator for a total of $100
Let x = spayer ; y = generator
6x + 6y = 90
4x + 8y = 100
6x = 90 - 6y
x = 90/6 - 6y/6
x = 15 - y
4x + 8y = 100
4(15-y) + 8y = 100
60 - 4y + 8y = 100
4y = 100 - 60
4y = 40
y = 40/4
y = 10
x = 15 - y
x = 15 - 10
x = 5
Sprayer = 5 per hour ; generator = 10 per hour
To check:
6x + 6y = 90
6(5) + 6(10) = 90
30 + 60 = 90
90 = 90
<span>4x + 8y = 100
</span>4(5) + 8(10) = 100
20 + 80 = 100
100 = 100
Answer:
Hay 2 galones de jugo en el refrigerador de Marcos.
The z scores corresponding to the mean weight of a rotten apple relative to the apples from either orchard are, respectively,
The mean for the standard normal distribution is 0, which means that z scores closer to 0 represent data points that are more likely to occur. Therefore it's reasonable to believe that rotten apples occur more often in shipments from Zippy's.
y = -3(x<span> - 2)^2 + 1 </span>x<span>-coordinate of vertex: </span>x<span> = -b/(2a) = -12/-6 = 2 y-coordintae of vertex: y(2) = -12 + 24 - 11 = 1 </span>Vertex form: y = -3(x<span> - 2)^2 + 1 Check. Develop y to get back to standard form: y = -3(</span>x^2 - 4x + 4) + 1 = -3x<span>^2 + </span>12x<span> - </span>11<span>. </span>
The hypothesis shows that we have evidence that the proportion surviving after eating organic is higher.
<h3>How to illustrate the information?</h3>
The following can be deduced from the information:
x1 = 275
x2 = 170
n1 = 500
n2 = 500
The sample proportion will be:
p1 = 275/500 = 0.55
p2 = 170/500 = 0.34
The pooled proportion will be:
= (275 + 170)/(500 + 500)
= 0.44
The test statistic is 6.681. It should be noted that the test statistics is a number that's calculated by a statistical test. It shows how the observed data are far from the null hypothesis.
The p value in this scenario is extremely small. The p value is a measurement used to validate a hypothesis against the observed data. Therefore, we have to reject the null hypothesis.
In this case, the hypothesis shows that we have evidence that the proportion surviving after eating organic is higher.
Learn more about hypothesis on:
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