The measurement of angle L = 50°.
Solution:
The given image is a rectangle.
The measurement of ∠A = 25°
The measurement of ∠B = 25°
ABC is a triangle.
Sum of the interior angles of the triangle = 180°
⇒ m∠A + m∠B + m∠C = 180°
⇒ 25° + 25° + m∠C = 180°
⇒ 50° + m∠C = 180°
⇒ m∠C = 180° – 50°
⇒ m∠C = 130°
Sum of the adjacent angles in a straight line = 180°
⇒ m∠C + m∠L = 180°
⇒ 130° + m∠L = 180°
⇒ m∠L = 180° – 130°
⇒ m∠L = 50°
Hence the measurement of angle L = 50°.
Answer:
Explained below.
Step-by-step explanation:
According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.
Then, the mean of the sample means is given by,
And the standard deviation of the sample means is given by,

a
The expected value of the sample mean of their weights is same as the population mean, <em>μ</em> = 1515 lbs.
b
The standard deviation of the sampling distribution of the sample mean weight is:

c.
The average weights for a sample of 16 people will result in the total weight exceeding the weight limit of 2500 lbs. is:

d
Compute the probability that a random sample of 16 persons on the elevator will exceed the weight limit as follows:

Answer:
12
Step-by-step explanation:
24/x = x/6
x^2 =24*6 = 144
x=12
F(x)=4+6+5/4+1
F(x)=4+6+5/5
F(x)=10+1=11
Answer =11
Here's a pattern to consider:
1+100=101
2+99=101
3+98=101
4+97=101
5+96=101
.....
This question relates to the discovery of Gauss, a mathematician. He found out that if you split 100 from 1-50 and 51-100, you could add them from each end to get a sum of 101. As there are 50 sets of addition, then the total is 50×101=5050
So, the sum of the first 100 positive integers is 5050.
Quick note
We can use a formula to find out the sum of an arithmetic series:

Where s is the sum of the series and n is the number of terms in the series. It works for the above problem.