Divide 1000 by 8 which would give you 125. So they have 125 cans and they need to collect 8 times as many, meaning 8 times of what they have which is 125. And 125 times 8 is equal to 1000. YOU'RE WELCOME :D
Answer:
y=-x^2-8
Step-by-step explanation:
Tell me if you need explanation
Answer:
A
The correct option is B
B
![t = 0.6093](https://tex.z-dn.net/?f=t%20%3D%20%200.6093)
C
![p-value = 0.27116](https://tex.z-dn.net/?f=p-value%20%20%3D%20%200.27116)
D
The correct option is D
Step-by-step explanation:
From the question we are told that
The sample size is ![n = 232](https://tex.z-dn.net/?f=n%20%20%3D%20%20232)
The number that developed nausea is X = 50
The population proportion is p = 0.20
The null hypothesis is ![H_o : p = 0.20](https://tex.z-dn.net/?f=H_o%20%3A%20p%20%20%3D%20%200.20)
The alternative hypothesis is ![H_a : p > 0.20](https://tex.z-dn.net/?f=H_a%20%3A%20%20p%20%3E%200.20)
Generally the sample proportion is mathematically represented as
![\r p = \frac{50}{232}](https://tex.z-dn.net/?f=%5Cr%20p%20%20%3D%20%20%5Cfrac%7B50%7D%7B232%7D)
![\r p = 0.216](https://tex.z-dn.net/?f=%5Cr%20p%20%20%3D%20%200.216)
Generally the test statistics is mathematically represented as
=> ![t = \frac{\r p - p }{ \sqrt{ \frac{p(1- p )}{n} } }](https://tex.z-dn.net/?f=t%20%3D%20%20%5Cfrac%7B%5Cr%20p%20%20-%20%20p%20%7D%7B%20%5Csqrt%7B%20%5Cfrac%7Bp%281-%20p%20%29%7D%7Bn%7D%20%7D%20%7D)
=> ![t = \frac{ 0.216 - 0.20 }{ \sqrt{ \frac{ 0.20 (1- 0.20 )}{ 232} } }](https://tex.z-dn.net/?f=t%20%3D%20%20%5Cfrac%7B%200.216%20-%200.20%20%7D%7B%20%5Csqrt%7B%20%5Cfrac%7B%200.20%20%281-%200.20%20%29%7D%7B%20232%7D%20%7D%20%7D)
=> ![t = 0.6093](https://tex.z-dn.net/?f=t%20%3D%20%200.6093)
The p-value obtained from the z-table is
![p-value = P(Z > 0.6093) = 0.27116](https://tex.z-dn.net/?f=p-value%20%20%3D%20%20P%28Z%20%3E%20%200.6093%29%20%3D%20%200.27116)
Given that the
then we fail to reject the null hypothesis
Answer:
<h3>
There is a constant of variation in the equation and it is 750. This means that the amount olivia earns increases by $750 every week.</h3>
Step-by-step explanation:
Given the equation y = 750x which represents the number of dollars y Olivia earns in x weeks, from the equation, it can be inferred that the number of dollars olivia earns is DIRECTLY PROPORTIONAL to the number of weeks. This relationship is therefore a direct variation.
In direct variation, increase in a variable will lead to corresponding increase in the other variable and vice versa by a factor known as the constant of variation.
For example if y is directly proportional to x, it is written mathematically as shown;
![y\alpha x](https://tex.z-dn.net/?f=y%5Calpha%20x)
![y=kx\\](https://tex.z-dn.net/?f=y%3Dkx%5C%5C)
![k = y/x](https://tex.z-dn.net/?f=k%20%3D%20y%2Fx)
where k is the constant of proportionality.
comparing the general expression above with the equation in question,
y = 750x
k = 750
Therefore we can conclude that there is a constant of variation in the equation and it is 750. This means that the amount olivia earns increases by $750 every week.
Since the diagonals of a parallelogram bisect each other, it follows that:
![WM=\frac{1}{2}(WY)](https://tex.z-dn.net/?f=WM%3D%5Cfrac%7B1%7D%7B2%7D%28WY%29)
![WM\text{ =}\frac{1}{2}\times8=4](https://tex.z-dn.net/?f=WM%5Ctext%7B%20%3D%7D%5Cfrac%7B1%7D%7B2%7D%5Ctimes8%3D4)
The correct answer is 4cm