How many gallons of honey did Colton and Madelyn collect in all
1 answer:
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Answer:
The cost of edging the flower beds with roll is $41.10.
Step-by-step explanation:
Given,
dimension of rectangular flower bed :
length = 40 ft
width = 15 ft
dimension of circular flower bed :
diameter = 16 ft
cost of each roll = $6.85
We need to find the cost of roll used to cover completely rectangular and circular flower bed.
Solution,
Firstly we will find out the perimeter of the rectangular flower bed.
Since we know that the perimeter of rectangle is equal to twice the sum of its length and width.
framing in equation form, we get;
Perimeter =
So the perimeter of 2 flower bed =
Again we will find out the circumference of the circular flower bed.
And we know that the circumference of the circle is equal to pi multiplied with the diameter.
framing in equation form, we get;
Circumference =
Now the total edge for covering is equal to the sum of the perimeter of two flowerbed and circumference of one circular flower bed.
Total edge =
Here also given that Plastic edging for flower beds comes in 50-foot per roll.
So we will find out the number of rolls required for edging.
For this we will use the unitary method.
50 ft = 1 roll
270.24 ft = number of roll
so we can say that there will be 6 rolls required for edging.
also given the cost of 1 roll is $6.85.
So the cost of 6 rolls =
Hence The cost of edging the flower beds with roll is $41.10.
Answer:
d. No because n·(1 - ) = 8.96 is less than 10
Step-by-step explanation:
Question options;
a. Yes because the sample sizes of both groups are greater than 5
b. Yes, because in both cases n· > 10
c. Yes, because we know that the population is evenly distributed
d. No, because the n·(1 - ) is less than 10
Explanation;
The given data are;
The number of men in the sample of men, n₁ = 41
The proportion of men who dislike anchovies, = 0.67
The number of women in the sample of women, n₂ = 56
The proportion of men who dislike anchovies, = 0.84
The assumptions for an analysis of the difference between means using a T-test are;
1) The data should be from a random sample of the population
2) The variables should be approximately normal (n· ≥ 10, and n·(1 -
) ≥ 10)
3) The scale of the data is a continuous ordinance scale
4) The sample size should be large
5) The sample standard deviations should be approximately equal
From the requirement for normality, we have;
For the sample of men, n₁·₁ = 41 × 0.67 = 24.47 > 10
n₁·(1 - ₁) = 41 × (1 - 0.67) = 13.53 > 10
For the sample of women, n₂·₂ = 56 × 0.84 = 47.04 > 10
n₂·(1 - ₂) = 56 × (1 - 0.84) = 8.96 < 10
Therefore, the for n₂·(1 - ₂), the sample does not meet the requirement for normality
The correct option is d. No because n₂·(1 - ₂) = 8.96 is less than 10