Answer:
7.5 cm²
Step-by-step explanation:
Dimensions of the large ∆:


Dimensions of the small ∆:


Difference between the area of the large and the small ∆ = 13.5 - 6 = 7.5 cm²
The equation of the tangent line can be found using slope formula and fact that slope = dy/dx.

where (x0,y0) is point A ---> (0,-1)
Then rearrange equation into slope-intercept form:

Finally sub in x=0 into dy/dx to get slope at the point (0,-1)
Answer:
Sonya is ten her mother is 22
Step-by-step explanation:
Answer:
And we can find this probability using excel or the normal standard tabe 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 to the problem
Let X the random variable that represent the temperatures 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 excel or the normal standard tabe and we got: