Answer:
<em>There is a 1-a chance, where a is the complement of the confidence level, that the true value of p will fall in the confidence interval produced from our sample.</em> ( B )
Step-by-step explanation:
Confidence level depicts the probability that the confidence interval actually contains the values of p ( true values of P ) hence
<em>There is a 1-a chance, where a is the complement of the confidence level, that the true value of p will fall in the confidence interval produced from our sample</em> Is a complete misinterpretation of the confidence interval therefore it is NOT true
Eight ones = 8
Six tens= 60
60 + 8 = 68
When the triangle RST is rotated by <span>90° in a clockwise direction, the name of the image after the rotation would be SRT.
The reason you get a name like this is because you're not only rotating the triangle, you also rotating the letters along with the image.</span>
Answer: 15e^5x
Step - by - step
y=3e^5x - 2
By the sum rule, the derivative of 3e^5x - 2 with respect to x is d/dx [ 3e^5x ] + d/dx [-2].
d/dx [ 3e^5x ] + d/dx [ -2 ]
Evalute d/dx [ 3e^5x ]
Since 3 is constant with respect to x , the derivative of 3e^5x with respect to x is
3 d/dx [ e^5x ].
3 d/dx [ e^5x ] + d/dx [ -2 ]
Differentiate using the chain rule, which states that d/dx [ f(g(x))] is f' (g(x)) g' (x) where f(x) = e^x and g(x) = 5x.
To apply the Chain Rule, set u as 5x.
3 ( d/du [ e^u] d/dx [5x] ) + d/dx [ -2]
Differentiate using the Exponential rule which states that d/du [ a^u ] is a^u ln(a) where a=e.
3( e^u d/dx[5x] ) + d/dx [ -2 ]
Replace
3(e^5x d/dx [5x] ) + d/dx [ -2 ]
3(e^5x( 5 d/dx [x] )) + d/dx [ -2 ]
Diffentiate using the Power Rule which states that d/dx [x^n] is nx^n-1 where n=1.
3(e^5x(5*1)) + d/dx [-2]
3 ( e^5x * 5 ) + d/dx [-2]
Multiply 5 by 3
15e^5x + d/dx [-2]
Since -2 is constant with respect to x, the derivative of -2 with respect to x is 0.
15e^5x + 0
15e^5x
Answer:
Step-by-step explanation:
To find the angles of any shape with all sides equal in length, we use the formula:
, where n is the number of sides
For a pentagon, we get the equation:
Thus the measure of each in a pentagon if the lengths of all five sides are equal is 108 degrees.
Hope that helps!
