Answer:
228 butterflies
Step-by-step explanation:
X represents the moths
2x represents the butterflies
solution:
x + 2x = 342
3x = 342
x = 114
2x = 228
so therefore Alex have 228 butterflies
Answer:
The null hypothesis should be ![H_0: \mu = 12](https://tex.z-dn.net/?f=H_0%3A%20%5Cmu%20%3D%2012)
The alternate hypothesis should be ![H_1: \mu \neq 12](https://tex.z-dn.net/?f=H_1%3A%20%5Cmu%20%5Cneq%2012)
Step-by-step explanation:
You wondered if the sugar content in energy drinks is really the same as labeled in the products. The disclosure on Red Bull 12 oz.
At the null hypothesis, we test if the sugar content is the same labeled, that is:
![H_0: \mu = 12](https://tex.z-dn.net/?f=H_0%3A%20%5Cmu%20%3D%2012)
At the alternate hypothesis, we test if the sugar context is different from the labeled, that is, different of 12.
![H_1: \mu \neq 12](https://tex.z-dn.net/?f=H_1%3A%20%5Cmu%20%5Cneq%2012)
Answer:
a,c, e
Step-by-step explanation:
Basically, u just sub in any number for x and solve for y
y = -6x - 2.....lets say x = 0
y = 6(0) - 2
y = -2....so when x is 0, y is -2 .....(0,-2)
y = -6x - 2....lets say x = 1
y = -6(1) - 2
y = -6 - 2
y = -8.......another solution is (1,-8)
y = -6x - 2....lets say x = 2
y = -6(2) - 2
y = -12 - 2
y = -14....another solution is (2,-14)
y = -6x - 2....lets say x = 3
y = -6(3) - 2
y = -18 - 2
y = -20...another solution is (3,-20)
I think u get the idea now :)
Step-by-step explanation:
We are given the co-ordinates,
x : -2, -1, 0, 1, 2
y : 8, 5, 2, -1, -4
According to the graph, we see that this function represents a straight line.
The general form of the straight line is y = mx + c, where m is the slope and c is the y-intercept.
So, taking any two points we will find the equation of the straight line.
Consider, (0,2) and (1, -1). Now, slope is given by,
m = ![\frac{-1-2}{1-0}](https://tex.z-dn.net/?f=%5Cfrac%7B-1-2%7D%7B1-0%7D)
i.e. m = -3
Now, we will find the y-intercept of this equation using (0,2) and m = -3,
i.e. y = -3x + c
i.e. 2 = c
Hence, the equation of the straight line is y = -3x + 2.