To be able to solve this question, we need to know about the Pythagorean theorem: a² + b² = c². A and b represents the two sides that make the right angle, and C represents the hypotenuse, or the longest side, of the triangle.
We know that the hypotenuse is the longest side of the triangle, so that means 9 is c. One side of the triangle is 6, and we have to solve for b. That means 6 is a. We can plug in our values to the formula like this:
Now that we have our equation down, we know what we have to do next: subtract 81 from 36 to get b².
Answer:
Test statistic = - 2.29
Pvalue = 0.0110
Step-by-step explanation:
The hypothesis :
H0 : p = 0.3
H1 : p < 0.3
Test statistic :
z=pˆ−p/√p(1−p)/n
pˆ = 0.2
Z = (0.20 - 0.30) / √(0.30(1 - 0.30) / 110
Z = - 0.1 / √0.0019090
Z = - 0.1 / 0.0436931
Z = - 2.29
Test statistic = -2.29
The Pvalue :
P(Z < -2.29) = 0.0110
Answer:
f(x)=-2x+9 g(x)=-4x^2+5x-3Now, f o g (x) = f{g(x)} = f(4x^2+5x-3) = 2(4x^2+5x-3) + 9 = 8x^2+10x-6 + 9
Step-by-step explanation:
Answer:
3.28
Step-by-step explanation:
find the mean of all the numbers
3 + 8 + 10 + 12 + 15 = 48
48/5=9.6
so the mean of all the numbers is 9.6
now subtract 9.6 from all the numbers
|3 - 9.6| = 6.6
|8 - 9.6| = 1.6
|10 - 9.6| = .4
|12 - 9.6| = 2.4
|15 - 9.6| = 5.4
Find the mean/average of the new values
6.6 + 1.6 + .4 + 2.4 + 5.4 = 16.4
16.4/5 = 3.28
The sum of the angles of 4-sided shapes is 360°
To find the missing angle, you can do this:
x + 92° + 47° + 82° = 360° Add 92, 47, and 82 together
x + 221° = 360° Subtract 221 on both sides to get "x" by itself
x + 221° - 221° = 360° - 221°
x = 139° Your answer is the 4th option
