answer: a2 + b2 = c2
35^2+50^2=????
1225+2500
3725 now you want the square root of this number which the answer is
61.03
Answer:
The value of ![gof (-2)=79](https://tex.z-dn.net/?f=gof%20%28-2%29%3D79)
Step-by-step explanation:
We have
![f(x) = x^2 -5x +1 \\\\f(-2) = (-2)^2 -5\times-2 +1 \\\\=15](https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%5E2%20-5x%20%2B1%20%5C%5C%5C%5Cf%28-2%29%20%3D%20%28-2%29%5E2%20-5%5Ctimes-2%20%2B1%20%5C%5C%5C%5C%3D15)
Now we need to find
![gof (-2)=g(15)](https://tex.z-dn.net/?f=gof%20%28-2%29%3Dg%2815%29)
![g(15) =5\times15+4\\\\=79](https://tex.z-dn.net/?f=g%2815%29%20%3D5%5Ctimes15%2B4%5C%5C%5C%5C%3D79)
Answer:
(a) P(X<51) = 50.0%
(b) P(X<45) = 15.1%
(c) P(X>45) = 84.9%
Step-by-step explanation:
Mean weight (μ) = 51 pounds
Standard deviation (σ) = 5.8 pounds
The z-score for any given weight, 'X', is given by the following expression;
![z=\frac{X- \mu}{\sigma}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7BX-%20%5Cmu%7D%7B%5Csigma%7D)
a) P(X<51)
Since 51 pounds is exactly the mean weight, 50% of the dogs weight more than 51 pounds while 50% weight less than 51 pounds.
P(X<51) = 50.0%
b) P(X<45)
The z-score for X=45 is:
![z=\frac{45- 51}{5.8}\\z=-1.034](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B45-%2051%7D%7B5.8%7D%5C%5Cz%3D-1.034)
A z-score of -1.034 is equivalent to the 15.06-th percentile in a normal distribution. Therefore:
P(X<45) = 15.1%
c) P(X>45)
P(X>45) = 100% - P(X<45) = 100% - 15.1%
P(X>45) = 84.9%
Answer: third option
Step-by-step explanation:
By definition, for the function
if 0<b<1 then the function decreases from left to right
Therefore, it cannot be the options 1 or the option 2.
As the function given in the third option of problem has a negative coefficient (which is -2) and b=0.3 (0<b<1)
![y=-2*0.3^x](https://tex.z-dn.net/?f=y%3D-2%2A0.3%5Ex)
Then, each ouput value wil be negative.
Therefore, you can conclude that the function
decreases and going downwards from left to right.
Answer:
(x - 4)^2 + (y + 1)^2=9
Step-by-step explanation:
The equation of a circle can be written using a kinda of fill-in-the-blank method if you know the coordinates of the center and the radius.
If the center is (h,k) and the radius is r, then fill in those given numbers into:
(x-h)^2 + (y-k)^2 =r^2
The center of your circle is (4, -1).
Fill in 4 for the h, -1 for the k and 3 for the r.
(x-4)^2+(y- -1)^2= 3^2
Simplify.
(x-4)^2+(y+1)^2=9