Answer:
A normal distribution or z-test is used to construct a confidence interval.
Step-by-step explanation:
We are given the following in the question:
Sample mean,
= $3120
Sample size, n = 40
Population standard deviation, σ = $677
The distribution of earnings of college is a normal distribution.
Conditions:
- Since we are given the population standard deviation and the the sample size is also greater than 30.
Conclusion:
Thus, we use a normal distribution or z-test to construct a confidence interval.
<h3>
Answer: C) 4</h3>
All points on the blue curve f(x) are shifted up 4 units to get corresponding points on the red curve g(x). For example, the point (0,-3) moves up 4 units to (0,1).
g(x) = f(x)+k
g(x) = f(x)+4
2^-2
Is 1/2^2=1/4
3 x 1/4 is 3/4
The answer is 3/4 I think
Answer:
10 weeks
Step-by-step explanation:
Let's set an equation for you and your brother.
You have $90 plus $18 for every week you save (x).
90+18x
And your brother has $120 plus $15 dollars per week that he saves (x)
120+15x
You want to have the sum of the money equal so combine the two concluded statements
90+18x=120+15x
Arrange them so that you have like terms on each side
90+18x-15x=12+15x-15x
90+3x=120
90-90+3x=120-90
3x=30
x=10
"x" is our number of weeks you and your brother save so the answer is 10 weeks
Just to be sure you can use our equation and plug 10 for every time you see x to make sure our answer is right.
1. 15+37=?
- 15=10+5 (given on the diagram)
- 37=30+7 (given on the diagram)
- add digits to digits 5+7=12=10+2
- add tens to tens 10+30+10=50
- add tens and digits 50+2=52.
2. 22+49=?
- 22=20+2 (given on the diagram)
- 49=40+9 (given on the diagram)
- add digits to digits 2+9=11=10+1
- add tens to tens 20+40+10=70
- add tens and digits 70+1=71.
3. 38+26=?
- 38=30+8 (given on the diagram)
- 26=20+6 (given on the diagram)
- add digits to digits 8+6=14=10+4
- add tens to tens 30+20+10=60
- add tens and digits 60+4=64.
Answer: 1) 52; 2) 71; 3) 64.