Answer:
Step-by-step explanation:
hello :
x=-10 and x=0 because :
for x=0 : 0^3+5(0)²-50(0) = 0
for x= -10 : (-10)^3+5(-10)²-50(-10)=-1000+500+500 =0
Answer:
Formula for area of a circle;
<u>A = πr^2</u>
where pi is 3.14 in this case, and r is the radius squared
Plug in the actual values;
A = 3.14 x 11^2
A = 3.14 x 121
A = 379.94 square feet
Answer:
The 95% confidence interval is
Step-by-step explanation:
From the question we are told that
The population standard deviation is ![\sigma =7 \ inches](https://tex.z-dn.net/?f=%5Csigma%20%20%3D7%20%5C%20%20inches)
The sample size is n = 20
The sample mean is ![\= x = 20](https://tex.z-dn.net/?f=%5C%3D%20x%20%20%3D%2020)
From the question we are told the confidence level is 95% , hence the level of significance is
=>
Generally from the normal distribution table the critical value of
is
Generally the margin of error is mathematically represented as
=>
=>
Generally 95% confidence interval is mathematically represented as
=>
=>
Since this is a right triangle, the Pythagorean Theorem can be used to find the missing side length. The Pythagorean Theorem is a² + b² = c², where c is the hypotenuse of the triangle.
The error is that the numbers were plugged into the theorem incorrectly - the hypotenuse is the side opposite the right angle (in this case, it is 8 ft). That means the c in a² + b² = c² should be substituted with 8, like so:
a² + b² = c²
6² + b² = 8²
Now that the numbers are substituted correctly, you may solve for the third side.
6² + b² = 8²
36 + b² = 64
b² = 28
b ≈ 5.29
Answer:
The third side length is approximately 5.3 feet.
Answer:
Days l 1 l 2 l 3 l 4 l 5
Minutes l 45 l 90 l 135 l 180 l 225
Step-by-step explanation: