Answer:
2x + 3y - 24 = 0
Step-by-step explanation:
2x + 3y = 18
3y = -2x + 18
y =
x + 6
m = -2/3
y - 4 = -2/3(x - 6)
3y - 12 = -2x + 12
2x + 3y - 24 = 0
Answer: 2.4 + 7.6 = 10
Step-by-step explanation:
Hope this helps
Answer:
the null hypothesis would be: p = 70%/0.7
The alternative hypothesis would be: p < 0.7
Step-by-step explanation:
The null hypothesis is most of the time always the default statement while the alternative hypothesis is tested against the null and is its opposite.
In this case study the null hypothesis would be: the proportion of men who own cats is 70%: p = 0.7
The alternative hypothesis would be: the proportion of men who own cats is smaller than 70% : p < 0.7
It is given in the question that
Ann, Chang, and Kareem sent a total of 89 text messages over their cell phones during the weekend. Ann sent 9 fewer messages than Chang. Kareem sent 3 times as many messages as Ann.
Let number of messages Chang sent be x. And Ann sent 9 fewer than Chang, so Ann sent (x-9) messages. And Kareem sent 3 times as many messages as Ann, so Kareem sent 3(x-9) messages.
And the total messages are 89. That is
![x+x-9+3(x-9)=89](https://tex.z-dn.net/?f=x%2Bx-9%2B3%28x-9%29%3D89)
Combining like terms
![x + x - 9 + 3x-27 =89 \\ 5x -36=89 \\ 5x = 125 \\ x =25](https://tex.z-dn.net/?f=x%20%2B%20x%20-%209%20%2B%203x-27%20%3D89%0A%5C%5C%0A5x%20-36%3D89%0A%5C%5C%0A5x%20%3D%20125%0A%5C%5C%0Ax%20%3D25)
So Chang sent 25 messages, Ann sent
![25-9=16 messages](https://tex.z-dn.net/?f=25-9%3D16%20messages)
And Kareem sent
![3*16 = 48 messages](https://tex.z-dn.net/?f=3%2A16%20%3D%2048%20messages)