Answer:
62.5 or 63
Step-by-step explanation:
the length of the side adjacent to the angle is given (6), and the length of the hypotenuse is also given (13)
the trig function that deals with adjacent and hypotenuse lengths is cosine.
cos(x) = adj/hyp
cos(x) = 6/13
x = 62.5
Answer:
The 99% confidence interval for the proportion of FM residents whose favorite season is summer is between (0.376, 0.524).
The lower bound of this interval is 0.376.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
For this problem, we have that:
99% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
The lower limit of this interval is:
The upper limit of this interval is:
The 99% confidence interval for the proportion of FM residents whose favorite season is summer is between (0.376, 0.524).
The lower bound of this interval is 0.376.
Y=(-8x-4)^(1/3)
y=(x)^(1/3)
y=a*(b(x-c))^(1/3))+d
In this equation, a is equal to one and d is equal to 0, so the equation is reduced to y=(b(x-c))^(1/3). Here, you can see that the b value is equal to -8, which would leave a c value of (-1/2) according to the equation.
This would mean that the transformations from y=x^(1/3) to the equation in the problem would include:
a horizontal shift of -1/2, or to the left of the y-axis by .5 units,
a reflection across the x-axis, due to the negative b value,
and the b value of 8, ignoring the sign due to that demonstrating the reflection, would mean that it is horizontally compressed by 1/8.
Answer:
A. x = 5 (Equation below)
B. AC = 9 | BD = 9
Step-by-step explanation:
A. Since we know the diagonals of an isosceles trapezoid are congruent, we know that the two bottom parts of the diagonal BD (2x - 8 and x - 4) are congruent to the diagonal AC (x + 2) . This means you can just equal them together and get the value of x:
2x - 8 + x - 4 = x + 2
3x - 12 = x + 2
3x = x + 14
2x = 14
x = 7
B. Just plug in 5 for x:
AC = x + 2 = 7 + 2 = 9
BD = 2x - 8 + x -4 = 3x - 12 = 21 - 12 = 9
Answer:
All you need to remember is the rules
Step-by-step explanation:
Let us remember
a to the m power x a to the nth power is = a to the m+n power. (add the exponents)
And
a to the m power ÷ a to the nth power is = a to the m-n power. (subtract the exponents) So
14 to the -4 power x 14 to the 7 power= 14 to the -4+7 which is equal to 14 to the 3rd power
