Hello Kiddo.
This question is a bit confusing to me, but I think I grasped the concept.
1. x best represents Sarah's mom's age.
2. x - 24 best represents Sarah's mom's age minus how much younger Sarah is than her mom.
3. The expression would look a little like this:
2x-24 = 68
+ 24 +24
2x = 92
/2 /2
x = 46.
Which means, Sarah is 22 and her mom is 46 years of age.
If you need more clarification, I'd be more than happy to elaborate further.
Answer:
f(x) = (x - 2)²
Step-by-step explanation:
f(x) = x² - 4x + 4 is a perfect trinomial.
You know a trinomial is perfect when double the square root of the first term multiplied by the square root of the last term equals the middle term.
As an equation, a trinomial in the form ax² + bx + c = 0:
2√a√c = b is a perfect trinomial.
Perfect trinomial are factored in this form:
(√a ± √c )(√a ± √c ) = (√a ± √c )²
Whether the sign is + or - depends on if the middle term is positive or negative.
In f(x) = x²-4x+4, the middle term is a negative.
The square root of the first term is 1.
The square root of the second term is 2.
The factored form is (x - 2)²
Answer:
1/2
Step-by-step explanation:
When you analyze the graph for your slope, you RISE over RUN meaning you go up/down first and then left/right next.
I got 1/2 because RISE over RUN is written the same (or is the same) as Y over X
2/4 = 1/2
3/6 = 1/2
4/8 = 1/2
5/10 = 1/2
therefore your slop must be 1/2!
hope this helpsss
Answer:
90% confidence interval for the mean weight loss for the population represented by this sample assuming that the differences are coming from a normally distributed population is [1.989 ,13.5105]
Step-by-step explanation:
The data given is
Mean Std Dev
Before 177.25 29.325
After 169.50 22.431
Difference 7.75 8.598
Hence d`= 7.75 and sd= 8.598
The 90% confidence interval for the difference in means for the paired observation is given by
d` ± t∝/2(n-1) *sd/√n
Here t∝/2(n-1)=1.895 where n-1= 8-1= 7 d.f
and ∝/2= 0.1/2=0.05
Putting the values
d` ± t∝/2(n-1) *sd/√n
7.75 ±1.895 * 8.598 /√8
7.75 ± 5.7605
1.989 ,13.5105
90% confidence interval for the mean weight loss for the population represented by this sample assuming that the differences are coming from a normally distributed population is [1.989 ,13.5105]
To find the answer to this problem, you would multiply 4/5 to 12 (or 12/1). And you would end up with 48/5, and when you divide this out, you would end up with 9.6. So 9.6 should be your final answer.
Hope this helped! :)
