Area of a circle: πr²
Data:
diameter: 21 cm
radius=diameter/2=21 cm/2=10.5 cm
area of this circle: π(10.5 cm)²=110.25π cm² (≈346.36 cm²)
Answer: area=110.25π cm²
Answer:
4x^2+24x=4
Step 1:
make the coefficient of x² as 1, divide both sides by 4
x² +6x =1
Step 2:
take half of coefficient of x, square it and add it to both sides
half of 6 is 3 and 3²=9, so add 9 to both sides
x² +6x+9=1+9
x²+6x+3²=10
(x+3)²=10
now when we take square root we will get both + and - √10 on right side
x+3= +√10
x+3=-√10
solving for x
x=+√10-3
Step-by-step explanation:
Answer:
99.7% of the distribution will be between 600 hours and 900 hours.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 750
Standard deviation = 50
What percent of the distribution will be between 600 hours and 900 hours?
600 = 750 - 3*50
600 is 3 standard deviations below the mean
900 = 750 + 3*50
900 is 3 standard deviations above the mean
By the Empirical Rule, 99.7% of the distribution will be between 600 hours and 900 hours.
Answer:
50 batches
Step-by-step explanation:
A bag of flour = 5 pounds of flour
A batch of cookies = 0.10 pounds of flour
How many batches can be made with the 5-pound bag?
Batch of cookies in 5 pounds of flour = Total pounds of flour / flour needed per batch of cookies
= 5 pounds / 0.10 pounds
= 50 batches of cookies
50 batches of cookies can be made with 5 pounds of flour
Answer:
Step-by-step explanation:
The roll of nickels forms a cylinder
cylinder area includes the sides and the round areas
round areas = pi r^2 there is two so 2 pi r^2
= 2 pi (.835/2)^2
and the side area pi x d x h
pi x .835 ( .077 x 40) (there are 40 nickels in $ 2
Add the areas to get the total ......
