Answer:
A task time of 177.125s qualify individuals for such training.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by
After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.
In this problem, we have that:
A distribution that can be approximated by a normal distribution with a mean value of 145 sec and a standard deviation of 25 sec, so 
.
The fastest 10% are to be given advanced training. What task times qualify individuals for such training?
This is the value of X when Z has a pvalue of 0.90.
Z has a pvalue of 0.90 when it is between 1.28 and 1.29. So we want to find X when 
.
So
A task time of 177.125s qualify individuals for such training.
Answer:
8.2
Step-by-step explanation:
If each student in the group collected 15 shells, we know that there are 123 students on the field trip, so we can take 123 and divide it by 15 to get 8.2 or 41/5.
The area of any triangle is (1/2) x (length of the base) x (height) .
In this problem, we know the triangle's height,
but what is the length of the base ?
The base is the side that the triangle is sitting on. This particular triangle
is an equilateral one, and its perimeter is 60m. So each side must be 20m.
No matter which side the triangle is sitting on, the length of the base is 20m.
Area = (1/2) x (base) x (height)
Area = (1/2) x (20m) x (17.3m) = <em>173 m²</em>
Answer:
I invested $ 10,000 at 7% per year, and $ 1,000 at 3% per year.
Step-by-step explanation:
Given that I invested $ 11,000 in two accounts paying 3% and 7% annual interest, respectively, if the total interest earned for the year was $ 730, to determine how much was invested at each rate, the following calculation must be performed:
5,000 x 0.07 + 6,000 x 0.03 = 530
8,000 x 0.07 + 3,000 x 0.03 = 650
10,000 x 0.07 + 1,000 x 0.03 = 730
Therefore, I invested $ 10,000 at 7% per year, and $ 1,000 at 3% per year.
Answer:
2 batches of orange water = 6 tablespoon of yellow water and 2 tablespoon of red water
4 batches of orange water = 12 tablespoon of yellow water and 4 tablespoon of red water
Step-by-step explanation:
1 batch
Yellow water = 3 teaspoons
Red water = 1 teaspoons
Yellow water : Red water = 3 : 1
2 batches of orange water
Multiply the ratios by 2
Yellow water : Red water
= (3 : 1) * 2
= 6 : 2
2 batches of orange water = 6 tablespoon of yellow water and 2 tablespoon of red water
4 batches of orange water
Multiply the ratios by 4
Yellow water : Red water
= (3 : 1) * 4
= 12 : 4
4 batches of orange water = 12 tablespoon of yellow water and 4 tablespoon of red water
