4.) When solving a system of equations using elimination method, the first step is to make the coeffitient of one of the variables to be equal.
In option a, the coeffitient of variable y is made equal to 6 by multipling the first equation of the system by two.
Therefore, option A is the right answer.
6.) <span>2x + y = 0 . . . (1)
x – y = 6 . . . (2)
(1) + (2) => 3x = 6 . . . (3)
x = 6/3 = 2.
From (2), 2 - y = 6
y = 2 - 6 = -4.
Therefore, solution is (2, -4)
7.)</span> <span>3x + y = -8 . . . (1)
2x – y = 3 . . . (2)
(1) + (2) => 5x = -5
x = -5 / 5 = -1
From (1), 3(-1) + y = -8
y = -8 + 3 = -5
Therefore, solution is (-1. -5)
</span>
Answer:
I came up with $3.20 each donut cost.
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to conclude that the average is a different number for college students
Step-by-step explanation:
From the question we are told that
The sample size is n = 50
The population mean is
The sample mean is
The standard deviation is
The level of significance is ![\alpha = 0.10](https://tex.z-dn.net/?f=%5Calpha%20%20%3D%200.10)
The null hypothesis is ![H_o : \mu = 4](https://tex.z-dn.net/?f=H_o%20%20%3A%20%20%5Cmu%20%3D%20%204)
The alternative hypothesis is ![H_a : \mu \ne 4](https://tex.z-dn.net/?f=H_a%20%3A%20%20%5Cmu%20%5Cne%204)
Generally the test statistics is mathematically represented as
![z = \frac{ \= x - \mu }{ \frac{ \sigma }{ \sqrt{n}} }](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7B%20%5C%3D%20x%20%20-%20%20%5Cmu%20%7D%7B%20%5Cfrac%7B%20%5Csigma%20%7D%7B%20%5Csqrt%7Bn%7D%7D%20%7D)
=> ![z = \frac{ 3.79 - 4 }{ \frac{1.2}{ \sqrt{50}} }](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7B%203.79%20%20%20-%20%204%20%7D%7B%20%5Cfrac%7B1.2%7D%7B%20%5Csqrt%7B50%7D%7D%20%7D)
=> ![z = -1.237](https://tex.z-dn.net/?f=z%20%3D%20-1.237)
From the z table the area under the normal curve to the left corresponding to -1.237 is
![P(Z < -1.237) = 0.10804](https://tex.z-dn.net/?f=P%28Z%20%3C%20%20%20-1.237%29%20%3D%200.10804)
Generally the p-value is mathematically represented as
![p-value = P(Z < -1.237) = 2 * 0.10804](https://tex.z-dn.net/?f=p-value%20%20%3D%20%20P%28Z%20%3C%20%20%20-1.237%29%20%3D%202%20%2A%200.10804)
=> ![p-value = 0.21608](https://tex.z-dn.net/?f=p-value%20%20%3D%20%200.21608)
Generally from the values obtained we see that
![p-value > \alpha](https://tex.z-dn.net/?f=p-value%20%3E%20%20%5Calpha)
Hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to conclude that the average is a different number for college students
Could you upload a photo?
Answer:
2.5
Step-by-step explanation:
25 is the area so u have to divide it by 10. When u divide 25 by 10, you get 2.5. 2.5 inches represents the height