Answer: 0.16
Step-by-step explanation:
Given that the run times provided are normally distributed ;
Mean(x) of distribution = 3 hours 50 minutes
Standard deviation(s) = 30 minutes
The probability that a randomly selected runner has a time less than or equal to 3 hours 20 minutes
3 hours 20 minutes = (3 hrs 50 mins - 30 mins):
This is equivalent to :
[mean(x) - 1 standard deviation]
z 1 standard deviation within the mean = 0.84
z, 1 standard deviation outside the mean equals:
P(1 - z value , 1standard deviation within the mean)
1 - 0.8413 = 0.1587
= 0.16
D. bottom right
Frequency is added here and found out!?
Answer:
Algebra book weighs 24 oz
Grammar book weighs 15 oz
Step-by-step explanation:
algebra = x and grammar = y
x = 2y-6
5x = 8y
5(2y-6) = 8y
10y - 30 = 8y
2y - 30 = 0
2y = 30
y = 15
x = 2(15)-6
x = 30-6
x = 24
From.the calculated area and perimeter of the field, it will cost the farmer $475740 to fence and seed the pasture.
<h3>What is the area of the field?</h3>
The area of the field is calculated as follows:
Area of square = 450 ft × 450 ft = 202500 square feet
Area of triangle = (450 ft × 120 ft)/2 = 27000 square feet
Area of field = 229500 square feet
Cost of seeding the field = 229500 × $2 = $459000
Perimeter of the field = 450 + 450 + 450 + 255 + 255 = 1860 ft
1 ft = 1/3 yard
1860 ft = 1860 × 1/3 yards = 620 yards
Cost of fencing = 620 × $27 = $16740
Total cost of seeding and fencing = $475200
Therefore, it will cost the farmer $475740 to fence and seed the pasture.
Learn more about area and perimeter at: brainly.com/question/19819849