Answer:
22) y=1/4x-3/4
23) y=-1/3x-9
Step-by-step explanation:
22 ) Using the rise/run strategy, we can find the slope. From (-1,-1) you go up 1 unit to reach the same level as (3,0), and go right 4 to reach (3,0). This means your rise/run is 1/4, which is also your slope. Now to find the y-intercept, we can use the equation format y=mx+b. m is your slope, which we have, and b is the y intercept. With y and x, we can substitute in a point we already know, for example (-1,-1) as (x,y). When everything we know is substituted in, we get -1=(1/4)(-1)+b. According to PEMDAS, we should now multiply 1/4 and -1 to get (-1/4). Now our equation is -1=-1/4+b. To isolate B, we need to add 1/4 on both sides. As a result, you'll get -3/4. Your y intercept is -3/4. Thus, the final equation is y=1/4x-3/4.
23) This question is a lot more straight forward than question 22. In this question, you're already given everything in the equation to substitute everything in. Like I said before, the format for a linear equation is y=mx+b where m is your slope and b is your y intercept. This question already gives you both the slope and y intercept, so you can just fill it in. (m = -1/3, b= -9) Thus, you'll get y=-1/3x-9.
Answer: C. The data do not provide sufficient evidence to reject H0; thus, we cannot conclude that the mean point spread fo home games is higher than that of away games.
Step-by-step explanation: In Hypothesis Testing using p-value, after stating the null an alternative hypothesis, you have to compare p-value with level of significance, also known as α. If p-value is less than α, reject null hypothesis and accept alternative. If p-value is bigger, we would fail to reject null hypothesis and not accept the alternative.
In the above testing, P-value is 0.4351. Level of significance is, generally, 0.05. Comparing them, p-value is bigger than α. What it means is there is not enough evidence to support null hypothesis and, consequently, we can't conclude the difference in mean point spread of home games is higher than of the away games.
The answer is the pack of 3 boxes of juice as 12 is 4 times 3 so $1.09 will need to be multiplied by 4. This equals $4.36. So the 12 pack is 3c more expensive. Same goes with the 24 pack, which equals $8.78. This is 1c more expensive. So the cheapest is the 3 pack of juice boxes.
I hoped this helped!! :))
Answer:
Domain is
a) x:{-6,-1,0,3} b) x:{-7,-6,-2,-1,0,1,3,9}
Step-by-step explanation:
Domain of a function is the set of values that x can take or in other words domain is the first set.
In the given question:
Domain will be:
a) {-6,-1,0,3}
b) {-7,-6,-2,-1,0,1,3,9}
Answer: 189 mg.
Step-by-step explanation:
Let x be the weight of the body( in pounds) and y be the amount of medicine( in mg).
Given: A certain medicine is given in an amount proportional to patient’s body weight.
i.e. 
Let
, 
then,


Hence, he amount of medicine required by patient weighing 174 pounds = 189 mg.