Answer:
θ = π/3, 5π/3
Step-by-step explanation:
2 cos θ - 1 = 0
2 cos θ = 1
cos θ = 1/2
θ = π/3, 5π/3
Answer:
GIVE ME MY RAMEN
Step-by-step explanation:
3.
add like terms
30 + 7k = 100
100-30 = 70
70 divided by 7k = 10
k = 10
4. add the z's together
2z - 6 -2 = -10
+ 6 + 2
-10 will be -2 now since we dragged the -6 and -2 to the other side
2z = -2
z = -1
5. 3.2x - 1.7x = 1.5x
1.5x + 5.5 = 10
10 would be 4.5 since we dragged 5.5 to the other side so it would be 10 - 5.5
3.2x = 5.5
x = 1.71875
6.
3/4x - 1/4x = 2/4x
14 - 3 = 11
2/4x = 11
x = 22
The surface area of the square pyramid is: 451 cm²
The lateral surface area of the square pyramid = 330 cm²
<h3>What is the Lateral Surface Area and Surface Area of a Square Pyramid?</h3>
Surface area = a² + 2al, where a is the base edge and l is the slant height.
Lateral Surface Area = 2al.
Given the following:
Surface area = a² + 2al = 11² + 2(11)(15)
Surface area = 451 cm²
Lateral Surface Area = 2al = 2(11)(15)
Lateral Surface Area = 330 cm²
Learn more about square pyramid on:
brainly.com/question/3688277
Answer:
B) 1.622 to 1.778 includes the mean of the population beta.
Step-by-step explanation:
We have the standard deviation for the sample, so the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom,which is the sample size subtracted by 1. So
df = 100 - 1 = 99
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 99 degrees of freedom(y-axis) and a confidence level of
. So we have T = 1.9842
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 1.7 - 0.078 = 1.622.
The upper end of the interval is the sample mean added to M. So it is 1.7 + 0.078 = 1.778.
Thus the correct answer is given by option B.