I believe you may have the order incorrect. If we were looking at g(f(x)) the answer would be 47. We would get this by sticking the 3 in for x in f(x) and solving, which would give us 48. We would then stick that answer in for x in the g(x), giving us 47.
In its current order the answer would be 28.
The best way to solve a problem like this is to set up two equations. First assign a variable to each thing you are trying to find. In this case, it's two different kinds of cars. Let's call the cars that weigh 3,000 pounds x, and the ones that weigh 5,000 y. The two equations you should write are:
x+y=18 (because the problem tells you there were 18 cars in total)
3000x+5000y=60000 (because that is the total weight in the problem)
Next, you need to solve for one of the variables. I will solve for x first by subtracting y from both sides of the first equation.
x=18-y
Then you have to plug that into the other equation to get:
3000(18-y)+5000y=60000
Simplify and solve for y:
54000-3000y+5000y=60000
54000+2000y=60000
2000y=6000
y=3
Now that you know what y equals, you can put it into the equation we solved for x:
x=18-3
x=15
So there are 15 cars that weigh 3000 pounds and 3 that weigh 5000.
Answer:
Yes
Step-by-step explanation:
Let p1 represent proportion of women and p2 proportion of men. The null and alternative hypothesis will be as follows
Null hypothesis
=p2-p1 ≤0
Alternative hypothesis
=p2-p1>0
Sample proportion of women, p1=74/200=0.37
Sample proportion of men is p2=104/200=0.52
Level of significance is 0.01
Pooled proportion=
Test statistic
p-value=P(Z≥z)=P(Z≥6.9124)=P(Z≤-6.9124)=0
Since the value of p is less than 0.01, we reject null hypothesis. There’s sufficient evidence that a greater proportion of men is expecting to get a raise
10 oz for 2.49. Hope I helped :)
