Domik weights 30 pounds more than his sister
Together they weigh 330 pounds
Let "x" represent the weight of Dominik's sister, then his weight can be expressed as "x+30"
And their total weight can be calculated as:
From this expression you can calculate the value of x:
x=150 pounds
x+30=150+30=180 pounds
Dominik weights 180pounds and his sister 150 pounds
Answer:
volume: 1500 , surface area: 764
Step-by-step explanation:
formula of circle's area
formula of cylinder's surfaces area
Answer:
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the complement rule and the normal standard table and we got:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution problem
Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the complement rule and the normal standard table and we got:
Answer:
B. (-6, -9)
D. (12, 3)
Step-by-step explanation:
y=mx+b is the format for this problem.
2/3 is m and -5 is b
The b is the y-intercept which is the point where the line crosses from one side of the graph to the other horizontally. You can see at -5, that is where that happens.
Then, to find the second point, you would move the -5 up 2 and right 3 points because the slope is 2/3.
You can then look at another point of the graph to find (-6, -9)
*Changed my answer from just B to B and D
