Answer:
The area of the lawn is 68 .
Step-by-step explanation:
Area of lawn = Area of garden - (Area of triangle + Area of trapezium)
Area of garden = length x width
= 14 x 10
= 140
Area of triangle = x base x height
= x 3 x 8
= 12
Area of trapezium = (a + b) h
= (5 + 7) 10
= 60
So that;
Area of lawn = 140 - (12 + 60)
= 140 - 72
= 68
The area of the lawn is 68 .
Answer:
C. 17.156
Step-by-step explanation:
...................
31/365
This cannot be simplified because 31 is a prime number (it only has 1 and 31 as its factors) and 365 is not evenly divisible by 31.
Hello.
First of all, let the number be t.
8 times t can be written like this:
Notice that the number is before the variable and the times sign (×) is not there.
We can write it as 8×t, but we usually write it as 8t.
The sum of means we add:
8t+21
Now, "less than" is "<" :
Therefore, the answer is
I hope it helps.
Have a nice day.
Using the <em>normal probability distribution and the central limit theorem</em>, it is found that the probabilities are given by:
a) 0.0119 = 1.19%.
b) 0.121 = 12.1%.
c) 0.9257 = 92.57%.
<h3>Normal Probability Distribution</h3>
In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
- By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation .
In this problem:
- The mean is of .
- The standard deviation is of .
- A sample of 144 is taken, hence .
Item a:
The probability is the <u>p-value of Z when X = 42600</u>, hence:
By the Central Limit Theorem:
has a p-value of 0.0119.
The probability is of 0.0119 = 1.19%.
Item b:
The probability is the <u>1 subtracted by the p-value of Z when X = 46240</u>, hence:
has a p-value of 0.879.
1 - 0.879 = 0.121.
The probability is of 0.121 = 12.1%.
Item c:
The probability is the <u>p-value of Z when X = 46980 subtracted by the p-value of Z when X = 43190</u>, hence:
X = 46980:
has a p-value of 0.9693.
X = 43190:
has a p-value of 0.0436.
0.9693 - 0.0436 = 0.9257.
The probability is of 0.9257 = 92.57%.
To learn more about the <em>normal probability distribution and the central limit theorem</em>, you can check brainly.com/question/24663213