Answer:
As space expanded, the universe cooled and matter formed
Explanation:
Amount of time=2.5 hoursamount of time after speed increase=2 hourslet x=the initial speedlet t=the amount of hourslet y=the new speed let z=distance therefore xt=zyt=zplugging everything in,x(2.5)=zy(2)=zusing substitution y=20+x2.5x=z(20+x)(2)=z40+2x.5x=40x=80y=x+20y=100
95.44% IQ scores are between 77 and 125
We're given,
Mean (a)=101
standard deviation (b)=12
To find : ![P[77 < x < 125]](https://tex.z-dn.net/?f=P%5B77%20%3C%20x%20%3C%20125%5D)
Using Empirical Rule:
∴
![P[\frac{77-101}{12} < \frac{x-a}{b} < \frac{125-101}{12}]\\](https://tex.z-dn.net/?f=P%5B%5Cfrac%7B77-101%7D%7B12%7D%20%3C%20%5Cfrac%7Bx-a%7D%7Bb%7D%20%3C%20%5Cfrac%7B125-101%7D%7B12%7D%5D%5C%5C)
![=P[-2 < z < 2]\\](https://tex.z-dn.net/?f=%3DP%5B-2%20%3C%20z%20%3C%202%5D%5C%5C)
![=P[Z < 2]-P[Z < -2]\\](https://tex.z-dn.net/?f=%3DP%5BZ%20%3C%202%5D-P%5BZ%20%3C%20-2%5D%5C%5C)

=95.44% (approx)
Learn more about Empirical rule of IQ calculation here:
brainly.com/question/13077017
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Answer:
1/4 sugar = 5 glasses
1/4 x 22/5 sugar = 5 x 22/5 glasses
22/20 sugar = 22 glasses
1 1/10 cup of sugar = 22 glasses lemonade
Using it's definition, it is found that the function f(x) has a point of inflection at:
A. x = 8 only.
<h3>What are the points of inflection of a function?</h3>
- The critical points of a function are the <u>values of x</u> for which:

- Additionally, there has to be a change in the sign of

Researching the problem on the internet, it is found that:
- For 0 < x < 5,
.
- For x = 5,
is undefined.
- For 5 < x < 8,
.
- For x = 8,
.
- For 8 < x < 12,
.
- For x = 12,
.
- For 12 < x < 16,
.
The two conditions,
and a change in the signal of
are only respected at x = 8, which is the lone inflection point.
You can learn more about points of inflection at brainly.com/question/10352137